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erma4kov [3.2K]

3 years ago

9

Simplify.

itle="m\sqrt{p} + n\sqrt{p} - \sqrt{p}" alt="m\sqrt{p} + n\sqrt{p} - \sqrt{p}" align="absmiddle" class="latex-formula">

1 answer:

madreJ [45]3 years ago

8 0

Answer:

First option is the correct answer.

$(m + n - 1) \sqrt{p}$

Step-by-step explanation:

$m\sqrt{p} + n\sqrt{p} - \sqrt{p} \\ \\ = (m + n - 1) \sqrt{p}$

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20 points. Find the surface area of the rectangular prism.

neonofarm [45]

Answer:

60

Step-by-step explanation:

4 times 3 = 12 12 times 5 =60

7 0

3 years ago

Read 2 more answers

Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood c

Alla [95]

Answer:

a) $\hat p=\frac{148}{4167}=0.036$

b) $0.0355 - 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.030$

$0.0355 + 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.041$

Step-by-step explanation:

The sample proportion have the following distribution

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Part a

The estimated proportion for this case can be calculated like this:

$\hat p=\frac{148}{4167}=0.036$

Part b

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

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

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

Replacing we got:

$0.0355 - 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.030$

$0.0355 + 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.041$

8 0

3 years ago

Find the unit rate of 8 miles in 5 hours. <br> a. 1.6 mi/h <br> b. 2.5 mi/h <br> c. 1.5 mi/h

Alona [7]

Answer: [A]: 1.6 mi/h .
___________________________________________________________

(8/5) mi / h = (8<span> ÷ 5) mi / h = 1.6 mi / h ; which is Answer choice: [A].
</span>___________________________________________________________

3 0

3 years ago

Please help me with this :D

stellarik [79]

<h2>○=> <u>Correct option</u> :</h2>

$\color{plum}\bold{(C)}$ Diameter of circle P is the same length as the radius of circle Q.

<h3>○=> <u>Steps to derive correct option</u> :</h3>

Given :

Diameter of circle P = 26 cm

Radius of circle P :

$=\tt \frac{diameter}{2}$

$= \tt \frac{26}{2}$

$\color{plum} = \tt13 \: cm$

Thus, radius of circle P = 13 cm

Diameter of circle Q = 52 cm

Radius of circle Q :

$= \tt \frac{diameter}{2}$

$=\tt \frac{52}{2}$

$\color{plum}= \tt26 \: cm$

Thus, radius of circle Q = 26 cm

Radius of circle R = 52 cm

Diameter of circle R :

$=\tt radius \times 2$

$=\tt 52 \times 2$

$\color{plum} = \tt104 \: cm$

Thus, the diameter of circle R = 104 cm

☆ Conclusion :

▪︎Diameter of circle P is the same length as the radius of circle Q.

Therefore, the correct option is <em>(C) Diameter of circle P is the same length as the radius of circle Q.</em>

7 0

3 years ago

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Black_prince [1.1K]

Well for me part 3 would’ve been the most confusing part. Lesson one and two are more simply reading the equation and going off that in your graph and part 4 is multiplication or division. Rotations you have to have an extra step. Not sure what ur asking but I hope this helps.

3 0

3 years ago