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Agata [3.3K]
3 years ago
5

A sprinter can run 319 feet and 11 seconds find the sprinters unit rate of feet per second

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
7 0
The answer is 29 ft per second. Just divide 319 by 11
Naddik [55]3 years ago
4 0

Answer:28 feet per second

Step-by-step explanation:

Given : The distance traveled by sprinter = 319 feet

The time taken by sprinter = 11 seconds

We know that the formula to calculate the unit rate of distance per time is given by :_

r=\dfrac{\text{Distance}}{\text{Time}}\\\\\Rightarrow\ r=\dfrac{319}{11}\\\\\Rightarrow\ r=29\text{ feet per second}

Hence, the sprinters unit rate = 28 feet per second

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Suppose a shipment of 120 electronic components contains 3 defective components. to determine whether the shipment should be​ ac
Likurg_2 [28]

For this problem, the most accurate is to use combinations


Because the order in which it was selected in the components does not matter to us, we use combinations

Then the combinations are nC_r = \frac{ n! }{r! (n-r)!}

n represents the amount of things you can choose and choose r from them


You need the probability that the 3 selected components at least one are defective.

That is the same as:

(1 - probability that no component of the selection is defective).

The probability that none of the 3 selected components are defective is:

P = \frac{_{117}C_3}{_{120}C_3}


Where _{117}C_3 is the number of ways to select 3 non-defective components from 117 non-defective components and _{120}C_3 is the number of ways to select 3 components from 120.

_{117}C_3 = 260130

_{120}C_3 = 280840


So:

P = \frac{260130}{280840} = 0.927


Finally, the probability that at least one of the selected components is defective is:


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3 0
3 years ago
Find the value of x and y in the given parallelogram
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Answer:

Step-by-step explanation:

9y-4 = 50

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Step-by-step explanation:

4 0
2 years ago
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What is the additive inverse of -2 + 8i?
tatuchka [14]

Answer:

2 - 8i

Step-by-step explanation:

The additive inverse of something is basically the opposite of it. Another way to say this is that when you add the additive inverse to -2 + 8i, it will equal 0.

<u>An example:</u>

The additive inverse of 7 is -7 because not only is it the opposite, but also when you add 7 and -7, it equals 0.

<u>To solve</u>

So all you need to do is find the opposite of -2 + 8i. You can write it as:

-(-2 + 8i)  With the negative in the front because we want to find the opposite.

This then equals:

2 - 8i

You can check your answer by adding -2 + 8i and 2 - 8i to see if it equals 0:

(-2 + 8i) + (2 - 8i)  →  and it does equal 0

<u>ANSWER:</u> 2 - 8i

Hope you understand and that this helps with your question! :)

8 0
3 years ago
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