Can someone please solve a, b, c, and d? Thanks.

Can Someone Please Solve A, B, C, And D? Thanks.

Answers

Answer 1

a) The variables are;

d = the number of hours walking his neighbor's dog.

c = the number of hours washing cars

b) The system of inequalities are;

6c + 7.5d ≥ 75

d + c ≤ 15

c) The two possible combinations are; (5, 10) and (10, 5)

d) Yes it will be sufficient

How to solve a system of equations?

We are told that;

Tom is going to walk his neighbors dog for $6 an hour. Thus;

Money from walking neighbor's dog = $6 per hour

Money from car wash = $7.5 per hour

Total Number of hours of work not more than 15 hours

a) Let d represent the number of hours walking his neighbor's dog.

Let c represent the number of hours washing cars

b) Thus, money from walking neighbor's dog = 6c

Money from car wash = 7.5d

Therefore;

Total money saved = 6c + 7.5d

Since total number of hours of work is not more than 15 hours, then we have the inequality;

d + c ≤ 15

Tom needs to make at least $75 to cover prom expenses and so we have the inequality as;

6c + 7.5d ≥ 75

The system of inequalities represents this solution are;

6c + 7.5d ≥ 75

d + c ≤ 15

From the graph, the shaded part in between both lines provides the possible number of hours which we have as possibly; (5, 10) and (10, 5)

If he works 10 hours washing neighbors dogs and 3 hours on the cars, he will earn;

6(3) + 7.5(10) = $84

This is sufficient.

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Can Someone Please Solve A, B, C, And D? Thanks.

Related Questions

The steps your friend took to divide two mixed numbers are shown below.
4 2/3 / 2 1/4=14/3x9/4=21/2= 10½
Part A:
What should your friend change in order to divide the two mixed numbers correctly?
A) Find a common denominator of 3 and 4
B) Multiply by the reciprocal of 14/3
C) Multiply by the reciprocal of 9/4
D) Rename 4 2/3 as 3 5/3
Part B:
What should your friend do to check that their answer is correct using the inverse
operation?

Answers

The friend should change the multiplication of 9/4 to multiplication by the reciprocal of 9/4.

Option C is the correct answer.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

4(2/3) and 2(1/4)

Divide 4(2/3) by 2(1/4)

4(2/3) ÷ 2(1/4)

= 14/3 ÷ 9/4

Multiply the reciprocal of 9/4.

= 14/3 x 4/9

= 56/27

= 2(2/27)

Thus,

The value of the division of the fraction is 2(2/27).

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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:

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

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.

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.

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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.

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

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]

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.

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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

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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 .

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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.

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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

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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.

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What would be great resources

Answers

Answer:

depends for what?

Step-by-step explanation:

for shoes, stationary, clothes etc be a bit specific

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

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).


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

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°.

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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.

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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

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

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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)

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

Step-by-step explanation:

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.

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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

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

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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.

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write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros -2, 3, 8

Answers

A polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros -2, 3, 8 is x³ - 7x² + 36.

Define polynomial function.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

Given,

As stated, the polynomial's leading coefficient is equal to 1.

The function's zeroes are also listed as -2, 3, and 6.

For root 3: ( x - 3)

for root 6: (x - 6)

As a result, the polynomial function is

f = 1(x+2)(x-3)(x-6) (x-6)

f = (x+2)(x² - 6x - 3x + 18)

f = (x+2)(x² - 9x + 18)

f = x³ - 9x² + 18x + 2x² - 18x + 36

f = x³ - 7x² + 36

A polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros -2, 3, 8 is x³ - 7x² + 36.

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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!

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

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.

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