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3 years ago

7

Which statement about these triangles is true

1 answer:

steposvetlana [31]3 years ago

5 0

Answer:

c

Step-by-step explanation:

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Miriam makes 214 gallons of punch for a school event. How many 4‐ounce servings of punch can she serve ?

yawa3891 [41]

Convert gallons to ounces
There 128 ounces in 1 gallon
So you would multiply
(214gal)*(128oz/1gal)=27392 ounces

27392oz / 4 oz = 6848 cups

5 0

3 years ago

You have a coupon for an additional 25% off the price of any sale item at a store. The store has put robotics kit on sale for 15

insens350 [35]

Answer:

25.50 i believe

Step-by-step explanation:

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3 years ago

Please Help!! Find the Polynomial!!

grin007 [14]

Answer:

$\pi x^2-8\pi x+16\pi$

Step-by-step explanation:

To find the area of the inner circle, we need to find its radius. Here, we can write the radius as 4 - x. Now, we can use the formula $A=\pi r^2$ :

A = $\pi$ * $(4-x)^2$

We can expand the square:

A = $\pi *(16-8x+x^2)=\pi x^2-8\pi x+16\pi$

Thus, the polynomial is $\pi x^2-8\pi x+16\pi$ .

Hope this helps!

7 0

3 years ago

Read 2 more answers

Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Ex

I am Lyosha [343]

Answer:

$z = -1.53$ --- test statistic

$p = 0.1260$ --- p value

Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

$n_1 = 80$ $\bar x_1= 104$ $\sigma_1 = 8.4$

$n_2 = 70$ $\bar x_2 = 106$ $\sigma_2 = 7.6$

$H_o: \mu_1 - \mu_2 = 0$ --- Null hypothesis

$H_a: \mu_1 - \mu_2 \ne 0$ ---- Alternate hypothesis

$\alpha = 0.05$

Solving (a): The test statistic

This is calculated as:

$z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}$

So, we have:

$z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}$

$z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}$

$z = \frac{-2}{\sqrt{0.8820 + 0.8251}}$

$z = \frac{-2}{\sqrt{1.7071}}$

$z = \frac{-2}{1.3066}$

$z = -1.53$

Solving (b): The p value

This is calculated as:

$p = 2 * P(Z < z)$

So, we have:

$p = 2 * P(Z < -1.53)$

Look up the z probability in the z score table. So, the expression becomes

$p = 2 * 0.0630$

$p = 0.1260$

Solving (c): With $\alpha = 0.05$ , what is the conclusion based on the p value

We have:

$\alpha = 0.05$

In (b), we have:

$p = 0.1260$

By comparison:

$p > \alpha$

i.e.

$0.1260 > 0.05$

So, we fail to reject the null hypothesis.

4 0

2 years ago

Solve for x <br><br> can someone please help me

Fed [463]

Answer:

10

Step-by-step explanation:

The answer is because:

a^2 + b^2 = c^2

8^2 + 6^2 = x^2

64 + 36 = x^2

100 = x^2

√100 = √x^2

10 = x

4 0

3 years ago