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3 years ago

5

Musa expects to make about $400 next month working at his dad’s booth. He will also get a $200 check for his birthday. What is h

is expected income next month?

1 answer:

ohaa [14]3 years ago

6 0

Answer:

$600

Step-by-step explanation:

Let me know if you want the full explanation. Brainliest please ❤!

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Find the equation of a line that is parallel to y = 5x + 7 and passes through (4, 3)

vredina [299]

Answer:

B) y=5x-17

Step-by-step explanation:

I got this answer, by first making sure it was parallel to y=5x+7. Which was easy because the only thing they need to be parallel is the same slope, in this case was 5. Next I pluged in (4,3) to y=5x-17. I substituted 4 into x and got 20. Then I substituted 3 into y. Since 20-17 is equal to 3, then B. is your answer.

7 0

4 years ago

Read 2 more answers

A shoe manufacturer compared material A and material B for the soles of shoes. Twelve volunteers each got two shoes. The left wa

sveta [45]

Answer:

a) Are dependent since we are mesuring at the same individuals but on different times and with a different method

b) If we see the qq plot we don't have any significant deviation for the values and we don't have any heavy tail so we can conclude that we can approximate the differences with the normal distribution.

c) $p_v =P(t_{(12)}>0.969) =0.353$

So the p value is higher than the significance level given, so then we can conclude that we FAIL to reject the null hypothesis. So we can conclude that the mean differences is NOT significantly different from 0 .

Step-by-step explanation:

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.

The Q-Q plot, or quantile-quantile plot, "is a graphical tool to help us assess if a set of data plausibly came from some theoretical distribution such as a Normal or exponential".

Let put some notation

x=value for A , y = value for B

A: 379, 378, 328, 372, 325, 304, 356, 309, 354, 318, 355, 392

B: 372, 376, 328, 368, 283, 252, 369, 321, 379, 303, 328, 411

(a) Are the two samples paired or independent? Explain your answer.

Are dependent since we are mesuring at the same individuals but on different times and with a different method

(b) Make a normal QQ plot of the differences within each pair. Is it reasonable to assume a normal population of differences?

The first step is calculate the difference $d_i=A_i-B_i$ and we obtain this:

d: 7,2,0,4,42,52,-13,-12,-25,15,27,-19

In order to do the qqplot we can use the following R code:

d<-c(7,2,0,4,42,52,-13,-12,-25,15,27,-19)

qqnorm(d)

And the graph obtained is attached.

If we see the qq plot we don't have any significant deviation for the values and we don't have any heavy tail so we can conclude that we can approximate the differences with the normal distribution.

(c) Choose a test appropriate for the hypotheses above and justify your choice based on your answers to parts (a) and (b). Perform the test by computing a p-value, make a test decision, and state your conclusion in the context of the problem

The system of hypothesis for this case are:

Null hypothesis: $\mu_A- \mu_B = 0$

Alternative hypothesis: $\mu_A -\mu_B \neq 0$

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{80}{12}=6.67$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =23.849$

The 4 step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{6.67 -0}{\frac{23.849}{\sqrt{12}}}=0.969$

The next step is calculate the degrees of freedom given by:

$df=n-1=12-1=11$

Now we can calculate the p value, since we have a two tailed test the p value is given by:

$p_v =P(t_{(12)}>0.969) =0.353$

So the p value is higher than the significance level given, so then we can conclude that we FAIL to reject the null hypothesis. So we can conclude that the mean differences is NOT significantly different from 0 .

4 0

4 years ago

Please help me with this!!

bearhunter [10]

Answer:

8.06

Step-by-step explanation:

Use the Pythagorean theorem:

$a^{2} +b^{2} =c^{2}$

The hypotenuse is always the slanted side, or c (x in this picture), but the other numbers can be interchanged. Doesn't matter.

Plug the numbers 4 and 7 into the formula.

$4^{2} +7^{2} =c^{2} \\$

Now evaluate them to get $c^2$

16+49=65

To get c, take the square root of 65

$\sqrt{65} = 8.06$

6 0

3 years ago

In triangle ABC,if measure of angle A is seven more than four times measure of angle B and measure of angle C is eleven more tha

Yuri [45]

Answer: Angle A is 115 degrees

Step-by-step explanation:

In triangle ABC, the measure of angle A is seven more than four times measure of angle B. This means that

Angle A = 4(Angle B) + 7

The measure of angle C is eleven more than measure of angle B. This means that

Angle C = Angle B + 11.

The equations are

A = 4B + 7 - - - - - - - - 1

C = B + 11 - - - - - - - - - - 2

Recall that the sum of the angles in a triangle is 180 degrees. This means that

A + B + C = 180 degrees

Substituting equation 1 and equation 2 into A + B + C = 180, it becomes

4B + 7 + B + B + 11 = 180

6B + 18 = 180

6B = 180 - 18 = 162

B = 162/6 = 27 degrees

Substituting B = 27 into equation 1, it becomes

A = 4×27 + 7 = 108 +7

A = 115 degrees

Substituting B = 27 into equation 2, it becomes

C = 27 + 11

C = 38 degrees

Sum of the angles is 115 + 27 + 38 = 180

7 0

3 years ago

Slope: -2/3 y-intercept: -8 find the linear equation

puteri [66]

Answer:

y = - $\frac{2}{3}$ x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - $\frac{2}{3}$ and c = - 8, hence

y = - $\frac{2}{3}$ x - 8 ← linear equation

3 0

3 years ago