Which lengths would form a right triangle?

spin [16.1K]

Answer: D

Step-by-step explanation:

the second one cant be it because its negative and it would end in a negative result and 3,1 is equal to 2x-5 on the graph

7 0

3 years ago

The negative outside a function with no other transformations reflects the graph of the function over which line?

andrezito [222]

The negative outside a function with no other transformations reflects the graph of the function over the x-axis.

<h3>How to Interpret Graph Transformations?</h3>

When we talk about reflection in transformation, we know that ;

Reflection over x-axis is defined as a reflection or flip over the x-axis where the x-axis is the line of reflection used.

The formula for this is: (x, y) → (x, −y) . To reflect an equation over the x-axis, simply multiply the output variable by negative one: y = f(x) → y = −f(x)

Thus, we can conclude that the negative outside a function with no other transformations reflects the graph of the function over the x-axis.

Read more about Graph Transformations at; brainly.com/question/4289712

#SPJ1

7 0

2 years ago

Stephanie just redecorated her bedroom. She wants to paint her door green but needs to know the surface area of the door to see

jolli1 [7]

Answer:

Step-by-step explanation:

2(80*3)+2(3*200)+2(80*200)=33680cm

3 0

3 years ago

The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a la

Illusion [34]

Answer:

a) Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 7539

b) $t=\frac{7359-7539}{\frac{840}{\sqrt{49}}}=-1.5$

The degrees of freedom are given by:

$df=n-1=49-1=48$

The p value is given by:

$p_v =P(t_{(48)}$

c) $7359-2.01\frac{840}{\sqrt{49}}=7117.8$

$7359+2.01\frac{840}{\sqrt{49}}=7600.2$

d) For this case since the confidence interval contains the value of 7539 we don't have enough evidence to reject the null hypothesis at the significance level given of 5%. same conclusion using the hypothesis test and with the confidence interval

Step-by-step explanation:

Part a and b

Data given

$\bar X=7359$ represent the sample mean

$\sigma=840$ represent the population standard deviation

$n=49$ sample size

$\mu_o =7539$ represent the value to test

t would represent the statistic

$p_v$ represent the p value

Hypothesis to verify

We want to verify if the mean life is different from 7539 hours, the system of hypothesis would be:

Null hypothesis: $\mu \geq 7539$

Alternative hypothesis: $\mu < 7539$

The statistic for this case would be given by:

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

Replacing the info given we got:

$t=\frac{7359-7539}{\frac{840}{\sqrt{49}}}=-1.5$

The degrees of freedom are given by:

$df=n-1=49-1=48$

The p value is given by:

$p_v =P(t_{(48)}$

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 7539

Part c

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

We can find the critical value using the confidence level given of 95% and using the t distribution with 48 degrees of freedom we got $t_{\alpha/2}=\pm 2.01$

Now we have everything in order to replace into formula (1):

$7359-2.01\frac{840}{\sqrt{49}}=7117.8$

$7359+2.01\frac{840}{\sqrt{49}}=7600.2$

Part d

For this case since the confidence interval contains the value of 7539 we don't have enough evidence to reject the null hypothesis at the significance level given of 5%. same conclusion using the hypothesis test and with the confidence interval

3 0

3 years ago

The product of 4 and the sum of a number x and 8

Nesterboy [21]

Answer:

8(x+3)

Explanation:

"The product of 8 and" means 8 is going to be multiplied times another quantity. "...the sum of a number x and 3" means that 8 is going to be multiplied times (x+3).

This is represented by 8×(x+3), which simplifies to 8(x+3).

5 0

3 years ago