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2 years ago

A team of runners is needed to run a 1/4 -mile relay race. If each runner must run

Mathematics

2 answers:

Sveta_85 [38]2 years ago

8 0

Answer:

4 runners

Step-by-step explanation:

I divided 1/4 by 1/16 and got 4 as an answer.

Hope this helps :)

(Correct me if i am wrong)

shtirl [24]2 years ago

7 0

4 runners
Hope this helps! :)

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What is the inverse of the function f(x) = x +3?

Yanka [14]

Answer:

C)h(x) = x-3

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" values, then isolate for "x".

f(x) is the y value.

y = x + 3

x = y + 3 Switch x and y

x - 3 = y Subtract 3 from both sides to isolate

y = x - 3 Change back to function of h

h(x) = x - 3

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2 years ago

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PLZ HELP ASAP!!! the choices are <br> A. 5(7 + 4)<br> B. 5(7 + 7)<br> C. 7(5 + 4)<br> D. 7(4 + 7)

Alinara [238K]

A. 5(7 + 4)
is correct

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2 years ago

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Pls answers 1-8 fast

Sladkaya [172]

1-8 is simple. Just subtract 8 from 1. so 1-8 = -7

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2 years ago

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<img src="https://tex.z-dn.net/?f=tanx%5E%7B2%7D%20-%5Cfrac%7B1%7D%7B3%7D%20%3D0" id="TexFormula1" title="tanx^{2} -\frac{1}{3}

lianna [129]

These are expression written as a function of sine, cosine and tangent. The value of x from the given function is 4.29

Trigonometry expression

These are expression written as a function of sine, cosine and tangent.

Given

tanx² - 1/3 = 0

Add 1/3 to both sides

tanx² - 1/3 + 1/3 = 0 + 1/3

tanx² = 1/3

x² = arctan(1/3)

x² = 18.44

x =4.29

Hence the value of x from the given function is 4.29

Learn more on trig function here: brainly.com/question/24349828

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A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (the Wall Street Journal, May

Strike441 [17]

The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328

<h3>How to determine the probability?</h3>

The given parameters are:

Sample size, n = 100
Population proportion, p = 82%

Start by calculating the mean:

$\mu = np$

$\mu = 100 * 82\%$

$\mu = 82$

Calculate the standard deviation:

$\sigma = \sqrt{\mu(1 - p)$

$\sigma = \sqrt{82 * (1 - 82\%)$

$\sigma = 3.84$

Within ± 0.02 of the population proportion are:

$x_{min} = 82 * (1 - 0.02) = 80.38$

$x_{max} = 82 * (1 + 0.02) = 83.64$

Calculate the z-scores at these points using:

$z = \frac{x - \mu}{\sigma}$

So, we have:

$z_1 = \frac{80.36 - 82}{3.84} = -0.43$

$z_2 = \frac{83.64 - 82}{3.84} = 0.43$

The probability is then represented as:

P(x ± 0.02) = P(-0.43 < z < 0.43)

Using the z table of probabilities, we have:

P(x ± 0.02) = 0.3328

Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328