15
The graph below shows Jason's earnings based on the number of hours he works.
JASON'S EARNINGS
50
45
40
35
30
Earnings (dollars)
25
20
15
10
5
0 1 2 3 4 5 6 7 8
Number of Hours Worked
What point on the graph represents Jason's hourly pay rate?
А
(0,0)
B
(1, 15)
C (2, 30)
D
(3.45)

Answer:

B is the true statement

Step-by-step explanation:

A

We can see from the graph that the highest point occurs when the height in feet is 19.4, so statement A is untrue.

B

We can see from the graph that the highest point occurs after 12 seconds of flight, so statement B is true.

C

If the projectile were launched from the ground, when t=0, h=0, but since when t=0, h=5, we can see it was launched 5ft from the ground, so statement C is untrue.

D

On the interval 5<t<12, the altitude is indeed increasing, but after t=12, the projectile begins to fall and the altitude decreases, so statement D is untrue.

Answer: c. On average, a 1 percentage point difference in chemistry score is associated with a 0.919 percentage point difference in geometry score

Step-by-step explanation:

Given that:

Slope value = 0.91857341

The dependent and independent variables are ;

Dependent Variable: Geometry

Independent Variable: Chemistry

Slope is the rate of change in the dependent variable per unit change in the independent variable.

Hence, from the information given, we can conclude that for every 1% change in chemistry score (independent variable), there is a corresponding approximately 0.919% change in geometry score (dependent variable).

From the given data it can be concluded that on average, a 1 percentage point difference in chemistry score is associated with a 0.919 percentage point difference in geometry score. Hence option c) is correct.

Given :

Given the simple linear regression results that are:

The Dependent variable is Geometry.

The Independent variable is Chemistry.

Geometry = 3.6276926+0.91857341[tex]\times[/tex]Chemistry

Comparing the above equation with the slope-intercept form which is given by:

y = mx + c

Therefore, slope, m = 0.91857341.

It is also given that:

Sample size is 400

R2= 0.55808158

Estimate of error standard deviation: 9.417521

From the given data it can be concluded that on average, a 1 percentage point difference in chemistry score is associated with a 0.919 percentage point difference in geometry score. Hence option c) is correct.

For more information, refer to the link given below:

https://brainly.com/question/12402189

Answer: B

The series converges because it has a sum of 4.

Step-by-step explanation:

The convergence or divergence of a series depends on the sum of the series and its common ratio. The series converges because its sum is b

The series is given as:

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n[/tex]

A geometric series is given as:

[tex]T_n = ar^{n-1}[/tex]

So, we rewrite the series as follows:

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n[/tex]

Apply law of indices

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^{n-1} \times (\frac{2}{3})[/tex]

Rewrite

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 \times (\frac{2}{3})(\frac{2}{3})^{n-1}[/tex]

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} \frac{4}{3}(\frac{2}{3})^{n-1}[/tex]

So, we have:

[tex]T_n = \frac{4}{3}(\frac{2}{3})^{n-1}[/tex]

Compare the above series to: [tex]T_n = ar^{n-1}[/tex]

[tex]a = \frac{4}{3}[/tex]

[tex]r = \frac{2}{3}[/tex]

The sum of the series to infinity is:

[tex]S_{\infty} = \frac{a}{1 - r}[/tex]

So:

[tex]S_{\infty} = \frac{4/3}{1 - 2/3}[/tex]

[tex]S_{\infty} = \frac{4/3}{1/3}[/tex]

[tex]S_{\infty} = 4[/tex]

i.e. [tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = 4[/tex]

Also:

The common ratio (r)

[tex]r = \frac{2}{3}[/tex]

[tex]r = \frac{2}{3}[/tex] [tex]< 1[/tex]

When common ratio is less than 1, then such series is convergent.

Hence, (b) is true because it has a sum of 4

Read more about series at:

https://brainly.com/question/10813422

Answer:

length = 8; width = 3

perimeter = 22

area = 24

Step-by-step explanation:

L(- 1,3), M(2,3)

LM = |-1 - 2| = 3

M(2,3), N(2, - 5)

MN = |-5 - 3| = 8

length = 8; width = 3

perimeter = 2(L + W) = 2(8 + 3) = 22

area = LW = 8 × 3 = 24

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

I did the first one

Step-by-step explanation:

Hope I did it right

Answer:

The area between z = 1.74 and z = 1.25 is of 0.065.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The area between two values of Z is given by the subtraction of the pvalue of the larger value by the smaller.

The area between z = 1.74 and z = 1.25.

This is the pvalue of z = 1.74 subtracted by the pvalue of z = 1.25.

z = 1.74 has a pvalue of 0.959

z = 1.25 has a pvalue of 0.894

0.959 - 0.894 = 0.065

The area between z = 1.74 and z = 1.25 is of 0.065.

Answer:

(250+250+130+130)*30=22,800

Answer:

(8*6*8)÷2=192ft^3

Step-by-step explanation:

find the volume like you would a rectangular cube and then devide it in half. so L*H*W/2

Answer:

0.21333333333 or 2 21/40

Step-by-step explanation:

2/5+17/8

=2/5*8/8+17/8*5/5

=16/40+85/40

=16+85/40

=101/40= 2 21/40

you can also use this link for any other problems like this

https://www.calculator.net/fraction-calculator.html?t1=2&op=%2B&t2=17&b1=5&b2=8&ctype=1&x=100&y=24

Answer:

W = 6

L = 36

Step-by-step explanation:

2L + 2W = 84

L = 6W

Substitute for L in the first equation

2 (6W) + 2W = 84

12W + 2W = 84

14W = 84

W = 6

Substitute W in the first equation

2L + 2(6) = 84

2L + 12 = 84

2L = 72

L = 36

Plug both values in both equations to be sure

2(36) + 2(6) = 84

36 = 6 * 6

Hope that helps!

Answer:

Ehhh waht ??im 10 jears old!

Step-by-step explanation:

Hahah

Answer: That is right

Step-by-step explanation:

Answer:

Step-by-step explanation:

This appears to be a scalene triangle. Therefore, it is a triangle, not regular. This is because scalene triangles have measures that are different on all sides and angles. Therefore, it is irregular.

Answer:

the one in black

Step-by-step explanation:

Answer:

I can't answer this sorry dude and next time show us the picture so that we can understand

Answer:

Null hypothesis = H0 : μ = 60

Alternative hypothesis = H1 : μ < 60

Step-by-step explanation:

From the question given :

μ = 60 minutes

xbar = 44.27 minutes

s = 20.4 minutes

The alternative hypothesis is the claim ; which is to hypothesize that the average studying time is 44.27 (which is less than the population average studying time)

The null hypothesis is the initial truth and it is the opposite of the alternative hypothesis.

The hypothesis are :

H0 : μ = 60

H1 : μ < 60

Answer:

10

Step-by-step explanation:

Rearrange in order, 5, 5, 8, 10, 11, 17, 21 and the median would be 10.

Answer:

The Diplodocus was 744 in longer than the Triceratops.

Step-by-step explanation:

90 ft = 90 * 12 = 1080 in

28 ft = 28 * 12 = 336

1080 in - 336 in = 744 in

Answer: Ok Good luck other contestant.

Answer:

I would day option B does

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

Is it 57?

Step-by-step explanation:

Answer:

(a) 3628800 ways

(b) 17280 ways

(c) 120960 ways

Step-by-step explanation:

Given

[tex]Novels = 5[/tex]

[tex]Maths = 4[/tex]

[tex]Biology = 1[/tex]

[tex]Total = 10[/tex]

Solving (a): Arrangement with no restriction.

We simply count each book with no restriction. i.e. 10 books

So, the number of arrangement is:

[tex]Arrangement =10![/tex]

[tex]Arrangement =10*9*8*7*6*5*4*3*2*1[/tex]

[tex]Arrangement =3628800[/tex]

Solving (b): Maths book together and Novels together

First, arrange the 4 maths books as:

[tex]Maths = 4![/tex]

Next, arrange the 5 novels as:

[tex]Novels = 5![/tex]

Lastly, take the 4 maths book as [1], the 5 novels as [1] and the remaining [1] biology book.

So, we have: 3 books

Arrange 3 books, we have:

[tex]Books = 3![/tex]

Total arrangement is:

[tex]Total = 4! * 5! * 3![/tex]

[tex]Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1[/tex]

[tex]Total = 17280[/tex]

Solving (c): Maths book together

First, arrange the 4 maths books as:

[tex]Maths = 4![/tex]

Next, take the 4 maths book as [1], then the remaining 6 books (i.e. 5 novels and 1 biology)

So, we have: 7 books

Arrange 7 books, we have:

[tex]Books = 7![/tex]

Total arrangement is:

[tex]Total = 4! * 7![/tex]

[tex]Total = 4*3*2*1 * 7*6*5*4*3*2*1[/tex]

[tex]Total = 120960[/tex]

Answer:

x = 7

Step-by-step explanation:

We need to find the value of x in the given figure. It can be calculated using ratio.

We know that,

4+3 = 7

Taking ratios,

[tex]\dfrac{7}{3}=\dfrac{14}{x-1}[/tex]

or

[tex]\dfrac{1}{3}=\dfrac{2}{x-1}\\\\x-1=6\\\\x=6+1\\\\x=7[/tex]

So, the value of x is equal to 7.

Answer:

b = 29

Step-by-step explanation:

C x D = A x B

15(11x - 91) = 7(2x + 10)

165x - 1365 = 14x + 70

add 1365 to both sides of the equation:

165x = 14x + 1435

subtract 14x from both sides:

151x = 1435

divide both sides by 151:

x = 9.5

b = 2(9.5) + 10 = 29

Answer:

area? is that what u need? or perimeter

Step-by-step explanation: