The SAT and ACT are the two major standardized tests that colleges use to evaluate applicants. Most students take just one of these tests. However, some students take both. This Excel file gives the scores of 60 students who took both tests. Can we relate the two tests? Plot the data with SAT on the x axis and ACT on the y axis and answer the questions below.
Student SAT ACT
1 1000 24
2 870 21
3 1090 25
4 800 21
5 1010 24
6 880 21
7 860 19
8 1040 24
9 920 17
10 850 22
11 740 16
12 840 17
13 840 19
14 780 22
15 500 10
16 1060 25
17 830 19
18 830 20
19 780 12
20 870 21
21 1440 32
22 1190 30
23 1120 27
24 1120 25
25 490 7
26 800 16
27 590 12
28 800 18
29 1050 23
30 830 16
31 990 24
32 960 27
33 870 18
34 890 23
35 700 16
36 880 21
37 970 21
38 880 24
39 930 22
40 1020 24
41 920 22
42 980 27
43 860 23
44 790 14
45 810 19
46 1030 23
47 420 21
48 620 18
49 1080 23
50 1220 30
51 800 20
52 1150 28
52 1000 19
54 1080 22
55 1140 24
56 970 20
57 1030 25
58 970 20
59 920 21
60 1060 24
Question 1. Find the slope and intercept of the least squares regression line (draw the least squares line on your plot).
intercept (use 4 decimal places)
1.6263
slope (use 4 decimal places)
.0214
Question 2. Give the value of the test statistic for a test of H0: ß1 = 0.
(use 4 decimal places)
Question 3. If the alternative hypothesis is Ha: ß1 ? 0, what is the rejection region if the significance level of the test is a = .05? Use this t-table to determine your answer.
t =
t =
Question 4. What is the correct conclusion for this hypothesis test?
Do not reject the null hypothesis H0; the SAT score is not useful for predicting the ACT score.
Reject the null hypothesis H0 and conclude that in a linear model SAT score is useful for predicting the ACT score.
Question 5. Determine a 95% confidence interval for the slope ß1 of the least squares line (use 3 decimal places in your answers; use this t-table to determine the correct t-value).
lower endpoint of confidence interval
upper endpoint of confidence interval

Answers

Answer 1

the linear relationship between the SAT and ACT scores 0.6675 or 66.75% of the variation in the values of the SAT scores is accounted

Given that many high school students take either the SAT or the ACT.

However, some students take both.

Data were collected from 60 students who took both college entrance exams.

                          SAT score            ACT score with a  of 180.

Average                    912                      21

standard deviation   180                        5

Correlation between the two variables r = 0.817

WE have for two variables if we have correlation coefficient then the square of correlation coefficient gives the fraction of variation in the values of the SAT scores is accounted for by the linear relationship between the SAT and ACT scores

So we find square of r

i.e. r by the linear relationship between the SAT and ACT scores 0.6675 or 66.75% of the variation in the values of the SAT scores is accounted

learn more about of coefficient here

https://brainly.com/question/13830532

#SPJ4

Answer 2

Answer:

j

Step-by-step explanation:


Related Questions

What would be great resources

Answers

Answer:

depends for what?

Step-by-step explanation:

for shoes, stationary, clothes etc be a bit specific

How many different ID cards can be made if there are seven digits on a card and no digit can be used more than once? What if digits can be repeated?

Answers

The number of ID cards when no digit can be used more than once is 604,800 and when the digits can be repeated it will be 10,000,000 ID cards.

What is Permutations?

Permutations are several ways to arrange things in a specific sequence. It can alternatively be stated as the linear reordering of items within an ordered set.

As per the given information in the question,

Let's first make a list of all the potential outcomes. As follows:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

a.

No numeral may be used multiple times in the first instance.

Therefore,

10 × 9 × 8 × 7 × 6 × 5 × 4

= 604,800 ID cards

b.

In the second scenario, assuming it is possible to repeat the digits, then,

10 × 10 × 10 × 10 × 10 × 10 × 10 = 10,000,000 ID cards.

To know more about Permutations:

https://brainly.com/question/1216161

#SPJ1

Use a generating function for modeling the number of different selections of r hot dogs when there are four types of hot dogs.

Answers

Using generating function number of different selections of r hot dogs when there are four types of hot dogs are g(x) = ( 1/(1-x) )⁴.

What is Generating function?

For a sequence a₀,a₁,...,aₙ,... the corresponding generating function f(x) is the sequence

f(x)=a₀+a₁x+...+aₙxₙ+...= ∑aᵢxᵢ , 0 ≤ i ≤ ∞

Since here we have 4 types of hot dogs, from which we need to select "r" hot dogs, we would use a generating function as follows:

There can be any number of selections from any pile of hot dogs ( repitions is allowed). therefore, from each pile, you could pick up 1 or 2 or 3 or ... hot dogs. The same would go for all types of hot dogs. Therefore ,the generating function for the same would be,

g(x) = (1 + x + x² + x³ + x⁴ + ...)(1 + x + x² + x³ + x⁴ + ...)(1 + x + x² + x³+ x⁴ + ...)(1 + x + x² + x³+ x⁴+ ...)

Therefore, g(x) = (1 + x + x² + x³ + x⁴ + ...)⁴

This is an infinite geometric series, which can be solved to give the sum: g(x) = ( 1/(1-x) )⁴. Therefore, our required the coefficient of xʳ in (1/ (1-x) )⁴.

To learn more about Generated function, refer:

https://brainly.com/question/24123797

#SPJ4

Two equalities that are equivalent

Answers

Answer:

there is 2/8 and 3/12 .they are both equivalent to each ,and equal 1/4.2 is 1/4 of because 2×4=8 is 1/4 of 12 because 3×4=12.

11. Members of the student council are conducting a fundraiser by selling school calendars. After selling 80 calendars, they had a loss of $ 360. After selling 200 calendars, they had a profit of $600. Write an equation that describes the relation between y, the profit or loss, and x, the number of calendars sold. How much profit did they make from selling each calendar? How much would they have lost if they had sold no calendars?

Answers

a) The equation that describes the relation between x and y is y = 8x - 1000

b) They made 8% profit from selling the calendars

c) They will loss 1000 when they sold no calendars.

Given,

Members of student council had a loss of $360 after selling 80 calenders

They made a profit of $600 after selling 200 calenders.

y be the profit or loss

x be the calendars sold

We have to find the following;

a) The equation of the line in Slope-Intercept form is:

y = mx + b

Where "m" is the slope and "b" is the y-intercept.

We are aware that "y" here stands for the profit or loss and "x" for the quantity of calendars sold.

Then,

According to the exercise, the line passes through these two points:

(80, -360) and (200, 600)

Then,

We can find the slope of the line with the formula;

m = (y₂ - y₁) / (x₂ - x₁)

m = (-360 - 600) / (80 - 200)

m = -960/-120

m = 8

Now,

We can substitute the slope and one of those points into y = mx + b and solve for "b":

600 = 8 × 200 + b

-b = 1600 - 600

b = -1000

Then,

Substituting values, we get that the equation that describes the relation between the profit and loss and the number of calendars sold, is:

y = 8x - 1000

b) The slope of the line is the profit they made from selling each calendar

Profit = 8

c) The y-intercept is the amount they would have lost if they had sold no calendars:

b = -1000

They'd have lost $1000 if they had sold no calendars.

Learn more about profit and loss here;

https://brainly.com/question/13280598

#SPJ4

roblem 9-15 (Algorithmic) Doug Casey is in charge of planning and coordinating next spring’s sales management training program for his company. Doug listed the following activity information for this project: Immediate Time (weeks) Activity Description Predecessor(s) Optimistic Most Probable Pesssimistic A Plan topic — 1 1.5 2 B Obtain speakers A 2 2.5 9 C List meeting locations — 1.5 2 2.5 D Select location C 2 2 2 E Finalize speaker travel plans B, D 0.5 1 1.5 F Make final check with speakers E 1.5 2 2.5 G Prepare and mail brochure B, D 4 4.5 8 H Take reservations G 2 4 6 I Handle last-minute details F, H 1.5 3 4.5 Prepare an activity schedule. If required, round your answers to two decimal places. If your answer is zero, enter "0". Activity Expected Time Variance A B C D E F G H I Earliest Latest Earliest Latest Critical Activity Start Start Finish Finish Slack Activity A B C D E F G H I What are the critical activities and what is the expected project completion time? If required, round your answer to one decimal place. Expected project completion time = weeks. If Doug wants a 0.99 probability of completing the project on time, how far ahead of the scheduled meeting date should he begin working on the project? Base your calculation solely on the critical path. Note: Use Appendix B to identify the standard score. If required, round your answer to one decimal place. T = weeks.

Answers

If the 0.99 probability of completing the project on time, then the scheduled meeting date should he begin working on the project is 2.39 weeks

How to calculate the probability?

In math, the probability can be determined by first knowing the sample space of outcomes of an experiment and then by dividing the number of outcomes of an event by the total number of possible outcomes or sample space.

Here we have given that Doug Casey is in charge of planning and coordinating next spring’s sales management training program for his company.

And we need to find the If Doug wants a 0.99 probability of completing the project on time, how far ahead of the scheduled meeting date should he begin working on the project.

Here we know that the duration of the critical path determines the completion of the whole project.

Therefore, the mean completion time of the project =μ=15

And the the variance of the critical path = sum of the variances of the activities A, B, G, H, and I =0.03+0.44+0.44+0.11+0.03=1.06

Therefore, the standard deviation of the critical path or that of the whole project =σ=√1.06=1.03

Here we know that, if a 0.99 probability of completion is required, then the corresponding Z-score =2.3263

Then the actual completion time corresponding to a Z-score of

=> 2.3263 = μ+(Z×σ) = 15+(2.3263×1.03) = 15+2.39 = 17.39 weeks

Which states that the extra time needed over and above the mean completion time of the project of 15 weeks to have a 0.99 probability of completion =17.39−15=2.39 weeks

Therefore, in order to have a 0.99 probability of completing the project on time, the project should be started 2.39 weeks ahead of the scheduled meeting date.

To know more about Probability here.

https://brainly.com/question/11234923

#SPJ4

based on the text, what is the meaning of collinear? responses a unconnected to any sort of lineunconnected to any sort of line b equally distant in every directionequally distant in every direction c lying on or passing through the same linelying on or passing through the same line d connected sections along a curved lineconnected sections along a curved line

Answers

On solving the provided question, we can that the answer - The distance between two points is the length of a line segment that connects them.

What is straight lines?

A line is a shape that has no width, depth, or curve in its geometry. It is an item that can be used for a long time. A line can exist in a two-dimensional, three-dimensional, or more dimensional space, but is still a one-dimensional object. A line segment with two endpoints is commonly called a "line".

Main notations:

A plane is a flat, indefinitely long, 2D surface with no thickness. Option 1 is accurate. A point is a precise place. It just has position; it has no length, breadth, or depth. Option 2 is untrue. Collinear points are any two or more points that are situated differently yet are on the same line. Option 3 is untrue. A line has no thickness, is straight (has no bends), and goes in both directions without ending (infinitely). Option 4 is accurate. The length of a line segment that links two places represents their distance. Option 5 is accurate.

To know more about straight lines visit:

https://brainly.com/question/29223887

#SPJ4

If two loads are applied to a cantilever beam as shown in the drawing below, the bending moment at 0 due to the load is a1X1+a2X2.
Suppose that X1 and X2 are independent random variables with means of 2 and 4 kips respectively, and standard deviations pf .5 and 1 kip, respectively. If a1 = 5 ft and a2 = 10 ft, what is the expected bending moment and what is the standard deviation of the bending moment?
b) If X1 and X2 are normally distributed, what is the probability that the bending moment will exceed 75 kip-ft?
c) Suppose the positions of the two loads are random variables. Denoting them by A1 and A2, assume that these variables have means 05 5 and 10 ft, respectively, that each has a standard deviation of .5, and that all Ai's and Xi's are independent of one another. What is the expected moment now?
d) For the situation of part (c), what is the variance of the bending moment?
e) IF the situation is as described in part (a) except that Corr(X1, X2) = .5 (so that the two loads are not independent), what is the variance of the bending moment?

Answers

Answer:                                                                                                                                             Step-by-step explanation:

Calculate the difference and enter below. -4 + (-4)

Answers

Answer: -8

Step-by-step explanation: When adding 2 negative numbers, you go farther back left on the number line. (Negative side) So, 4 + 4 = 8, and a negative + a negative = negative, so this results in -4 + (-4) = -8. I hoped this helped!

Player First
Round Final
Round
Golfer 11 72 72
Golfer 12 72 70
Golfer 13 70 73
Golfer 14 70 77
Golfer 15 68 70
Golfer 16 68 66
Golfer 17 71 70
Golfer 18 70 68
Golfer 19 69 68
Golfer 20 67 71
Suppose you would like to determine if the mean score for the first round of a golf tournament event is significantly different than the mean score for the fourth and final round. Does the pressure of playing in the final round cause scores to go up? Or does the increased player concentration cause scores to come down?
(a) Use α = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. State the null and alternative hypotheses. (Use μd = mean score first round − mean score fourth round.
Calculate the value of the test statistic. (Round your answer to three decimal places.)
Calculate the p-value. (Round your answer to four decimal places.)
p-value =
(b) What is the point estimate of the difference between the two population means? (Use mean score first round − mean score fourth round.)

Answers

The point estimate of the difference between the two population means is -1.05.

Here, we are given the data representing the scores of the golf players in the 1st and final rounds.

a. The significance level is: α = 0.10

we can construct the following hypothesis test-

Null hypothesis H₀ ⇒ μd = 0

This implies that there is no difference between the population mean of the first round and final round.

Alternative hypothesis: Ha ⇒ μd ≠ 0

This implies that there is a difference between the population mean of the 1st round and final round.

Now, the test statistic will be-

[tex]t = (d-mean_{d})\sqrt{n}/ s_{d\\}[/tex]

we can use excel to calculate the test statistic.

This will give us: 0.10 < P < 0.20

b. the main margin of error is 90% confidence level. This means that there is no significant difference, hence - 1.05.

Learn more about hypothesis testing here-

https://brainly.com/question/15980493

#SPJ4

Your question was incomplete. Check for the missing figure below.

Part 1: Choose the equation represented by the model given below.

Answers

The linear equation that representing the given model is 6x-3 = 15.

In the given question, we have to choose the equation represented by the model given below.

As we know that;

A linear equation represent the relationship between the two unknown variable. The equation of linear equation is of one degree.

The simplest linear equation shows the correlation between (x,y), which may then be used to make a table or a graph on the coordinate plane or to assess at a specific x or y value.

To write the equation that represented by the given model, we count the variable that are of the same type. Then we write them after counting.

As we can see that in the model have 6 triangles of x, 3 circles of -1 and 15 circles of 1. So the linear equation that representing the given model is 6x-3 = 15.

To learn more about linear equation link is here

brainly.com/question/11897796

#SPJ4

2/3x+5/6=1/2(x-1/3) simplify the algebraic expression

Answers

After solving the given expression, the value obtained for x will be equal to -6,

What is an expression?

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. A mathematical operation like reduction, addition, multiplication, or division is used to include terms in an expression.

As per the given equation in the question,

2/3x + 5/6 = 1/2 (x - 1/3)

2/3x + 5/6 = 1/2x - 1/6

Substitute like terms together,

2/3x - 1/2x = -1/6 - 5/6

(4x - 3x)/6 = (-1 - 5)/6

x/6 = -6/6

x/6 = -1

x = -6

To know more about Expression:

https://brainly.com/question/14083225

#SPJ1

7 of 107 of 10 Questions

















Question 1
Write the inverse variation equation for xand yif yvaries inversely with x,and y=34when x=8.
The inverse variation equation is

Question 2
Find ywhen x=12and find xwhen y=30.
If an answer is not an integer, enter it as a fraction.

When x=12, y=

Question 3
When y=30, x=

Answers

1. The equation of the inverse variation is, y = 272/x.

2. When x = 12, y = 68/3

When y = 30, x = 136/15.

What is an Inverse Variation?

An inverse variation is defined by the equation, y = k/x, where k is the constant of proportionality between the relationship of y and x.

1. Given that y varies inversely with x, substitute y = 34 and x = 8 into y = k/x, and find the value of the constant of proportionality, k:

34 =  k/8

34 × 8 = k

k = 272

To write the equation, substitute k = 272 into y = k/x:

y = 272/x

2. When x = 12, we have:

y = 272/12

Simplify

y = 68/3

When y = 30, we have:

30 = 272/x

30x = 272

30x/30 = 272/30

x = 136/15

Learn more about the equation of inverse variation on:

https://brainly.com/question/13998680

#SPJ1

use the student's t -distribution to find the t -value for each of the given scenarios. round t -values to four decimal places. find the value of t such that the area in the left tail of the t -distribution is 0.05, if the sample size is 48. t

Answers

the value of t such that the area in the left tail of the t -distribution is 0.05, if the sample size is 48. t is 0.76197086

Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29)

P(-1.29 < t < 1.29) would be the area under the t distribution curve with 7 degrees of freedom between -1.29 and 1.29, that is in the interval (-1.29, 1.29).

This can be done the old style by looking up in a table or by using the technology with a spreadsheet.

In Excel, the function TDIST(x,n,2) with x>0 gives the area outside the interval (-x, x) of the t distribution with n degrees of freedom.

So TDIST(1.29,7,2) gives the area outside (-1.29, 1.29).

If we subtract this value from 1 we get the desired result

Hence  

P(-1.29 < t < 1.29) = 1 - TDIST(1.29,7,2) = 1 - 0.23802914 = 0.76197086

In OpenOffice Calc, the function is the same replacing “,” with “;”  

That is

P(-1.29 < t < 1.29) = 1 - TDIST(1.29;7;2) = 0.76197086

learn more about of distribution here

https://brainly.com/question/13972323

#SPJ4

The equation y = 2x + 3 is graphedbelow. If this graph is shifted up 3 units, what will be the equation of the new graph

Answers

Answer:

y = 2x + 6

Step-by-step explanation:

The equation is in point slope form or y = mc + b

where m is the slope and b is the y intercept

Since the graph is simply shifted up 3 units, the y intercept will change by increasing by 3, but the slope will not

This right circular cone has radius 2p and height
5p.
The dimensions are in centimetres.
The volume of the cone is 22500 cm³.
Work out the value of p

How do i work this out?

Answers

Answer:

p ≈ 10.24 cm

Step-by-step explanation:

r = 2p

h = 5p

Volume of a cone = (1/3)πr²h

22,500 = (1/3)π(2p)²(5p)

Now solve for p:

67500 = π4p²5p

67500 = π20p³

p³ = (67500)/π20 = 1074.3

p = ∛1074.3

p ≈ 10.24 cm

3
Gerry and Claire have been out walking using a map with a scale of 2 cm: 1 km.
The distance they have walked on the map is 14 cm.
How far have they actually walked?

Answers

Answer:

7 km

Step-by-step explanation:

14/2 cm which equals 7km

Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class:Finance Majors Business Analytics Majorsn1 = 140 n2 = 30x1 = $48,237 x2 = $55,417s1 = $19,000 s2 = $10,000(a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use α = 0.05. (Let μ1 = the population mean salary for Finance majors, and let μ2 = the population mean salary for Business Analytics majors.
b) What is the value of the test statistic? (Use μ1 − μ2. Round your answer to three decimal places.)
(c)What is the p-value? (Round your answer to four decimal places.)
(d) What is your conclusion?
Reject H0. We can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors.
Do not reject H0. We can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors.
Reject H0. We cannot conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors.
Do not reject H0. We cannot conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors.

Answers

Using the confidence interval and null hypothesis we can conclude that the salaries for the finance majors are significantly lower than the salaries of the business analytics majors.

a) The null and alternative hypothesis is given by

H₀:  μ1 − μ2 = 0

H₁:  μ1 − μ2 < 0

b) Test statistic is given by  [tex]\frac{\bar{x}_1-\bar{x}_2-0}{\sqrt{\frac{S_1^2}{n_1}+\frac{S_2^2}{n_2}}}[/tex]

here:

S₁ = 19000

S₂ = 10000

x₁ = 48237

x₂ = 55217

n₁ = 120

n₂ = 30

Putting the above values we get:

[tex]z=\frac{48237-55217}{\sqrt{\frac{19000^2}{120}+\frac{10000^2}{30}}}[/tex]

or, z = -2.7717744...

or, z ≈ -2.772

c) p-value

= P(Z<-2.772)

= 0.002786

= 0.0028

d) now we will use the p-value to essentially use or reject the the hypothesis.

So the confidence interval of 955 is used for the p-value.

p-value(0.0028) < ∝(0.05)

Hence we will reject the H₀ .

Hence we will conclude that the salaries for the finance majors are significantly lower than the salaries of the business analytics majors.

A confidence interval is a range of estimates for an unknown parameter (CI). The most common confidence level is 95%, but when calculating confidence intervals, other levels, such 90% or 99%, are also occasionally employed.

The confidence level is a measure of how many related CIs over the long run include the actual value of the parameter. For instance, the parameter's true value should be included in 95% of all intervals produced at the 95% confidence level.

To learn more about null hypothesis visit:

https://brainly.com/question/28920252

#SPJ4

the formula for the area of a triangle is A=1/2bh. find the area of a triangle with a base (b) of 8 feet and a height (h) of 11 feet. the area of the triangle is_ spuare feet.

Answers

Answer: 44ft^2

Step-by-step explanation:

plug it into the equation, h=11, b=8

so A=1/2(11)(8) = 44ft^2

A bag of marbles contained 40 blue marbles and 46 white marbles (and no other marbles). For a game, marbles of each color were chosen from the bag. Of the 40 blue marbles,3/5 were chosen.
Use this information to answer the questions below.
If not enough information is given to answer a question, click on "Not enough information."
(a) How many of the bag's marbles were not chosen?
(b) How many marbles were in the bag before the game?
(c) How many of the bag's blue marbles were chosen?

Answers

Number of marbles were not chosen = 62 marbles

Number of marbles were in the bag before the game = 86 marbles

Number pf blue marbles were chosen = 24

Number of blue marbles = 40

Number of white marbles = 46 marbles

Total number of marbles = 40 + 46

= 86 marbles

Of the 40 blue marbles, 3/5 fraction were chosen

Number of blue marbles chosen = 40 × (3/5)

= 24 marbles

Part a

Number of bag's marbles were not chosen = 86 - 24

= 62 marbles

Part b

Number of marbles were in the bag before the game = 86 marbles

Part c

Number of blue marbles were chosen = 40 × (3/5)

= 24 marbles

Therefore, the 62 marbles were not chosen. There were 86 marbles before the game and number of blue marbles were chosen is 24 marbles

Learn more about fraction here

brainly.com/question/8482939

#SPJ4

c) Assume that the sample points in each interval are right endpoints. Find the following sample points:x 1 = 0∘x 2 =08x 3​=0 8

Answers

Each interval's sample points are at the right ends. sample points :x 1 = 0∘x 2 =08x 3=0 8 is 0°, 8°, 16°

Since the sample points in each interval are right endpoints, we need to find the points that are 8° apart.

The first sample point x1 is 0°. To find the next two sample points, we need to add 8° to the first sample point.

Therefore, the second sample point x2 = 8°, and the third sample point x3 = 16°.

Learn more about sample here

https://brainly.com/question/25894237

#SPJ4

Pre calc

Solve e^2x +3e^x- 28=0

Answers

Answer:

x=ln(4)

Step-by-step explanation:

e^2x +3e^x- 28=0  

u^2 + 3u - 28 = 0   ==> substitute u for e^x

u^2 - 4u + 7u - 28 = 0

u(u-4) + 7(u-4) = 0

(u-4)(u+7)=0    ==> simplify

u-4=0                     u+7=0

u=4                             u=-7

e^x=4                     e^x=-7       ==> substitute e^x for u

ln(e^x)=ln(4)           ln(e^x)=-7    ==> take natural log on each side

x=ln(4)                   x=ln(-7), which is not possible since natural log>0

x=ln(4)

Answer:

[tex]{e}^{x} = y \\ {y}^{2} + 3y - 28 = 0 \\ (y - 4)(y + 7) = 0 \\ y = 4 \\ y = - 7 \\ {e}^{x} = 4 \\ x = ln(4) \\ x = ln( - 7)[/tex]

Tan(300°)=z/7
What is z?

Answers

Answer:

x = -7 sqrt(3)

Step-by-step explanation:

Tan(300°)=z/7

Multiply each side by 7

7 Tan(300°)=z

Replacing tan 300 with tan 120 since they are equal

7 Tan(120°)=z

7 ( - sqrt(3)) = z

x = -7 sqrt(3)


A cart has 5 boxes on it. Each box weighs 70 pounds. The boxes will be removed from
the cart, one at a time. Which function models the relationship between x, the number of
boxes that have been removed from the cart, and y, the total weight, in pounds, of the
boxes remaining on the cart?
y=-70x+5
B) y = -5x + 350
y = 50x + 70
= 52 +350
D) y =
Y =

Answers

y= 633563 that’s the answer of boxes

Which one of the following variables is a continuous variable?

a. The number of people on a bus.
b. The number of computers in a computer room in a school.
c. The height of Year 12 students in a high school.
d. The score out of 90 for a test.

Answers

Answer:

c.

Step-by-step explanation:

as this can take on any value (with as many digits after the decimal point as necessary) between certain interval limits.

all the others are usually either pure integers (and every real number in between them is not valid) or at most have finite fractions (like 1/2 or 1/4 points for scores, and between these no value is valid).

16.13- cerebral tumors and cell phone use. in a case-controlled study on cerebral tumors and cell phone use, tumors occurred more frequently on the same side of the head where cellular telephones had been used in 26 of 41 cases. test the hypothesis that there is an equal distribution of contralaterial and ipsilateral tumors in the population. use a two-sided alternative.

Answers

The two sided hypothesis of the given situation is H0 : p = 0.50 and Ha : p ≠ 0.50

in statistics, hypothesis is defined as a statement that explains the predictions and reasoning of your research.

Here we have given that cerebral tumors and cell phone use. in a case-controlled study on cerebral tumors and cell phone use, tumors occurred more frequently on the same side of the head where cellular telephones had been used in 26 of 41 cases.

And we need to find the test to the hypothesis that there is an equal distribution of contralateral and ipsilateral tumors in the population. use a two-sided alternative.

Here we have to find Hypothesis, for that we have to so the steps are shown below:

Let us considered the hypotheses for the study as shown below:

H0 : p =0.50

Versus,

Ha : p ≠ 0.50

Therefore, this is two tailed hypothesis test.

To know more about Hypothesis here.

https://brainly.com/question/29576929

#SPJ4

A surveyor needs to measure the distance, AB, across the lake. Beginning at E, he locates the midpoint, C, of AE and
the midpoint, D, of BE. He then measures CD. What is AB?
AB= m
4
49 m

Answers

Answer What is the midpoint of /AB? =b. point G

Step-by-step explanation:

AB is the abbreviation of “artium baccalaureus,” which is the Latin name for the Bachelor of Arts (BA) degree. It's a liberal arts degree, so it emphasizes the humanities, languages, and social sciences fields

A researcher claims that the yearly consumption of soft drinks per person is 52 gallons. In a sample of 50 randomly selected people, the mean of the yearly consumption was 56.3 gallons. The standard deviation of the population is 3.5 gallons. Is the researcher's claim valid? alpha = .05 Find the P-Value, state what your final decision will be based on alpha = .05 and why?

Answers

The researcher claim is invalid and the p-value based on alpha = 0.05 is   approx. = 0.

In the question ,

it is given that ,

a researches claims that per person yearly consumption (μ) is 52 gallons .

sample size (n) = 50 .

the mean of the consumption (x) = 56.3 .

the standard deviation (σ) is = 3.5 gallons .

the α = 0.05 .

let the null hypothesis ,

H₀ : μ = 52 and

H₁ : μ ≠ 52 .

the test statistics is : z = (x - μ)/(σ/√n)

the critical value ( rejection region ) : {z : |z| ≥ z₀.₀₂₅ = 1.96 }

So , z = (56.3 - 52)/(3.5/√50)

Simplifying further ,

we get ,

z = 8.69

We reject the null hypothesis H₀ , since the absolute value of the test statistics 8.69 is greater than the critical value 1.96 .

Since this is a two tailed test,  p-value must be multiplied by two

2 × P(z > 8.69) ≈  0

Since the p-value is less than α(0.05), So ,we reject the claim of the researcher that the mean yearly consumption of soft drinks per person is 52 gallons

Hence , the claim is not valid .

Therefore , The claim is invalid and p-value is ≈ 0 .

Learn more about Hypothesis here

https://brainly.com/question/20164700

#SPJ4

rewrite 1/12 x^3 y + 5/12 xy^2 using a common factor
1/6 xy(2x2 + 5y)
1/6 x2y(2x + 5y)
1/12 xy(x2 + 5y)
1/12 x3y(y + 5)

Answers

The expression using the common factor is 1/12xy(x² + 5y)

How to rewrite the expression using the common factor?

From the question, we have the following parameters that can be used in our computation:

1/12 x^3 y + 5/12 xy^2

Rewrite properly

So, we have

1/12x³y + 5/12xy²

Factor out 1/12 from the expression

So, we have the following representation

1/12(x³y + 5xy²)

Factor out x from the expression

So, we have the following representation

1/12x(x²y + 5y²)

Factor out y from the expression

So, we have the following representation

1/12xy(x² + 5y)

Hence, the expression is (c) 1/12xy(x² + 5y)

Read more about common factor:

brainly.com/question/25266652

#SPJ1

Answer:The expression using the common factor is 1/12xy(x² + 5y)

Step-by-step explanation:

What percent of 75 is 36?

Answers

Answer:

48%

Step-by-step explanation:

Finding percents

P * 75 = 36

Divide each side by 75

P = 36/75

P =.48

Change to percent form

P = 48%

Answer:

48%%%%%

Step-by-step explanation:

Other Questions
in areas where compaction is required, there must be at least ' above the pipe before compaction with mechanical means. How did the Albany Plan of Union differ from the Iroquois Confederacy? Responses The Albany Plan successfully united the thirteen colonies against the French, while all groups in the Iroquois Confederacy were against the British. The Albany Plan successfully united the thirteen colonies against the French, while all groups in the Iroquois Confederacy were against the British. The Albany Plan did not persuade colonists to unite, while the Iroquois Confederacy bound members together to solve problems. The Albany Plan did not persuade colonists to unite, while the Iroquois Confederacy bound members together to solve problems. The Albany Plan forced colonists to avoid death, while the Iroquois Confederacy allowed individuals to vote on joining. The Albany Plan forced colonists to avoid death, while the Iroquois Confederacy allowed individuals to vote on joining. The Albany Plan let the people elect the governor of the colony, while the Iroquois Confederacy required chiefs to appoint the main leader. The Alban Select all the expression that are equivalent to 8^-6 x 8^-5 trace the path of lymph from the time it leaves the interstitial spaces to the time it enters the blood. HELP WILL MARK BRAINLIEST What is the slope of the graph of y = -3x? need answer now asap-33-1/31/3 on july 1, 20y1, livingston corporation, a wholesaler of manufacturing equipment, issued $50,000,000 of 20-year, 11% bonds at a market (effective) interest rate of 14%, receiving cash of $40,003,000. interest on the bonds is payable semiannually on december 31 and june 30. the fiscal year of the company is the calendar year. Use ABC, shown to the right, to answer the following question.If AK=31. What is KP?? A(n) ________ is a pronounced modification to an existing product that requires a modest amount of learning or change in behavior to use itactual productA product has three d did the 7 years war create the debt that american colonists were expected to repay to great britain during the 1760s? Place the following excitation-contraction coupling events in the order that they occur.End-plate potential reaches thresholdAction potential sent throughout the sarcolemmaVoltage-sensitive DPH receptors are activatedConformational change opens RyR1 channelsRelease of calcium into sarcoplasm Which of the following factors do not impact brand image? Choose the answer.number of flavor choicesbrand dominanceintegritypackaging and presentation Dan kalb pointed to one key area of weakness in the oakland 2030 equitable climate action plan. what was that area? Please include the following items in your project: What type of music? Where does the music come from? Who created this music? Was this music used for a particular purpose? Who are the typical types of performers (singers, types of instruments, etc.)? Are there particular characteristics about melody, rhythms, lyric content that are "required" for this type of music? in ethiopia, the people got a grant from the government to set aside land for natural vegetation to return. when there is vegetation on the land, the water sinks slowly into the ground. true or false if the ball is released from rest at a height of 0.91 m above the bottom of the track on the no-slip side, what is its angular speed when it is on the frictionless side of the track? assume the ball is a solid sphere of radius 2.1 cm and mass 0.14 kg .(figure 1)How high does the ball rise on the frictionless side? in texas, the ________ party usually experiences higher voter turnout than the ________ party. Check the picture.Water has formed from condensation.This water comes from what PROCESS? Under the U.S. method of translation procedures, if the financial statements of the foreign subsidiary of a U.S. company are maintained in U.S. dollars:O translation is not required.O translation is accomplished through the temporal method.O the translation method to be used is not obvious.O translation is accomplished through the current rate method.A a debit memo may be issued in the monthly bank statement in order for the bank to notify a company that a service charge has been assessed on the company's account. true