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Anna71 [15]
3 years ago
12

Can someone help me with these four problems, show work plzz

Mathematics
1 answer:
Vikki [24]3 years ago
6 0

1. d = rt You must isolate r, so divide by t and you get r = d/t

2. Average speed is the total distance divided by the total time. 400m/43.83s=9.1m/s (Round to the nearest tenth, says in question)

3. Same thing but with Garcia's measurements. 110m/13s=8.5m/s (Round to the nearest tenth, says in question)

4. Kenteris's Speed = 200m/20.09s=9.9552m/s (Do not round until final answer) Johnson's Speed = 200m/19.32s=10.3520m/s

10.3520m/s - 9.9552m/s = .4 m/s (Round to the nearest tenth, says in question) The difference in speed is found by simply subtracting. Johnson went .4 m/s faster on on average than Kenteris.


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Compute​ P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate thi
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Answer and Step-by-step explanation: P(X) calculated by the binomial probability formula is:

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To determine whether the normal distribution can be used to estimate this probability, both n.p and n.(1-p) must be greater than 5:

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Since both ARE greater than 5, normal distribution can be used.

To approximate:

mean = n . p = 15.9

standard deviation = \sqrt{n.p.(1-p)} = 3.34

Find the z-score:

z = \frac{x - mean}{sd} = \frac{20-15.9}{3.34} = 1.23

z-score = 0.8907

Comparing values:

0.8907 - 0.0552 = 0.8355

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The amount for the given data is found as,\rm a = 2825(1+\frac{3.9}{12} )^{12t}.The given expression is true.

<h3>What is the amount?</h3>

The complete repayment of money at the end of the period for which it was borrowed is referred to as the amount.

The given data in the problem is;

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The formula for the amount is found as;

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\rm a = 2825(1+\frac{3.9}{12} )^{12t}

Hence the given expression is true.

To learn more about the amount, refer to the link: brainly.com/question/12184047.

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