Which of the following shows the coordinates of A (6, 12)<br> after reflection over the y-axis?

What is the slope of this graph?<br> a. 4<br> b. -4<br> c. -1/4 <br> d. 1/4

kykrilka [37]

The answer is -4 i just did the test

6 0

3 years ago

Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and

Brums [2.3K]

Answer:

$t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349$

$p_v =P(t_9>10.349)=1.34x10^{-6}$

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.

Step-by-step explanation:

1) Data given and notation

$\bar X=51.6$ represent the sample mean

$s=1.1$ represent the standard deviation for the sample

$n=10$ sample size

$\mu_o =48$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean score is higher than 48, the system of hypothesis would be:

Null hypothesis: $\mu \geq 48$

Alternative hypothesis: $\mu > 48$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349$

Calculate the P-value

First we find the degrees of freedom:

$df=n-1=10-1=9$

Since is a one-side upper test the p value would be:

$p_v =P(t_9>10.349)=1.34x10^{-6}$

Conclusion

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.

5 0

3 years ago

A triangle has a base of 54 cm. The height is unknown. Complete the equation that can be used to find the area, A, of the triang

Nookie1986 [14]

Answer:

Step-by-step explanation:

area=1/2×base×height

A=1/2×54×h=27h

4 0

3 years ago

At a football stadium, 10% of the fans in attendance were teenagers. If there were 30 teenagers at the football stadium, what wa

JulijaS [17]

Answer:

i believe the answer to this is a total of 300 people because you multiply the ten percent into the 30 people which factors out some numerical values, so then your answer as i just said is 300 people in total attended the game.

Step-by-step explanation:

8 0

3 years ago

maeve likes to make her salads in advance she made 15 salads for 3 days how many salads does she eat per day unit rate

Tju [1.3M]

The number of salads Maeve eats per day if she made 15 salads for 3 days is 5 salads eaten per day.

Unit rate refers to the number of units of the first type of quantity corresponding to one unit of the second type of quantity.

Number of salads = 15 salads
Number of days = 3 days

Unit rate of salad eaten per day = Number of salads ÷ Number of days

= 15 ÷ 3

= 5 salads eaten per day

A salad is a food made primarily of a mixture of raw or cold ingredients, typically vegetables, usually served with a dressing such as vinegar or mayonnaise.

Therefore, the number of salads Maeve eats per day if she made 15 salads for 3 days is 5 salads eaten per day.

Learn more about unit rate:

brainly.com/question/4895463

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7 0

2 years ago

Which of the following shows the coordinates of A (6, 12) after reflection over the y-axis?