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Eduardwww [97]
3 years ago
13

Select the correct answer.

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0

Answer:

v=\sqrt{\frac{E}{m}}

Step-by-step explanation:

The formula is given as:

E=mv^2

We need to solve this formula for v, that means that v to one side and let it be solved in terms of the other variables (E and m). First, we isolate v:

E=mv^2\\\frac{E}{m}=\frac{mv^2}{m}\\\frac{E}{m}=v^2

To isolate v, and eliminate the "square", we need to take square roots of both sides, that will give us v in terms of the other variables:

\frac{E}{m}=v^2\\\sqrt{\frac{E}{m}}=\sqrt{v^2}\\\sqrt{\frac{E}{m}}=v

Putting v to left side (convention), we finally have:

v=\sqrt{\frac{E}{m}}

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Nostrana [21]
For your answer x=13
5 0
3 years ago
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What are you doing step bro
faust18 [17]

owo

wouldnt be stuck if i slick you up ;)

8 0
2 years ago
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Each leg of a 45°-45°-90° triangle measures 12 cm.
vitfil [10]

Answer:

12 sqrt(2)

Step-by-step explanation:

Givens

a = 12 cm

b = 12 cm

c = ??

The triangle is isosceles with 1 right angle and 2 45 degree angles.

Formula

c^2 = a^2 + b^2

c^2 = 12^2 + 12^2

c^2 = 144 + 144

c^2 = 288

c^2 = 144 * 2

c = sqrt(144) * sqrt(2)

c = 12 * sqrt(2)

The answer isn't there. 12*sqrt(2) is the correct answer, 12sqrt(3).

Was this just a typo of some kind.

4 0
3 years ago
Suppose that insurance companies did a survey. They randomly surveyed 400 drivers and found that 320 claimed they always buckle
nirvana33 [79]

Answer:

i) ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And replacing we got:

ME= 1.96*\sqrt{\frac{0.8 (1-0.8)}{400}} =0.0392

ii) Lower = 0.8-0.0392= 0.7608

Upper = 0.8 +0.0392= 0.8392

Step-by-step explanation:

Notation and definitions

X=320 number of people that claimed always buckle up.

n=400 random sample taken

\hat p=\frac{320}{400}=0.8 estimated proportion of people that claimed always buckle up

p true population proportion of people that claimed always buckle up

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

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

Solution to the problem

Part i

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}}

The margin of error is given by:

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

And replacing we got:

ME= 1.96*\sqrt{\frac{0.8 (1-0.8)}{400}} =0.0392

Part ii

And the confidence interval would be given by:

Lower = 0.8-0.0392= 0.7608

Upper = 0.8 +0.0392= 0.8392

6 0
2 years ago
What is the recursive rule for this geometric sequence? 27,  9,  3,  1,  ... Enter your answers in the boxes.
ANEK [815]

Answer:

a_n=a_{n-1}(\frac{1}{3})\\a_1=27

Step-by-step explanation:

A recursive formula is a formula in which each term is based on the previous term.

In a geometric sequence, each term is found by multiplying the previous term by a constant.

To get from 27 to 9, then from 9 to 3, etc., we would multiply by 1/3.  This makes the common ratio 1/3.

The recursive formula for a geometric sequence is

a_n=a_{n-1}(r), where a_n represents the general term,  a_{n-1}, represents the previous term, and r represents the common ratio.

Plugging in our values, we have

a_n=a_{n-1}(r)

We also have to indicate what the first term, a₁, is.  In this sequence, it is 21.  This gives us

a_n=a_{n-1}(\frac{1}{3})\\a_1=27

8 0
3 years ago
Read 2 more answers
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