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xz_007 [3.2K]
4 years ago
10

grace rides her bike with a constant speed of 18 km/h how long will she take to travel a distance 72 kilometers

Mathematics
1 answer:
atroni [7]4 years ago
7 0
If she rides her bike 18 km per hour
then it will take 4 hours to travel 72 km (72÷18)
the answer is 4
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The scores for a state's peace officer training test are normally distributed with a mean of 55 and a standard deviation of 12.
s344n2d4d5 [400]

Answer:

About 84% of the people have test scores that make them eligible to be interviewed

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 55, \sigma = 12

A state agency will only interview applicants with test scores of 43 or greater. About what percent of the people have test scores that make them eligible to be interviewed?

This is 1 subtracted by the pvalue of Z when X = 43. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{43 - 55}{12}

Z = -1

Z = -1 has a pvalue of 0.1587

1 - 0.1587 = 0.8413

Rounding to the nearest percent

About 84% of the people have test scores that make them eligible to be interviewed

5 0
3 years ago
55.72 how many times greater is the digit in the tens place than the digit in the ones place
Zinaida [17]
It's ten times as great ... just like 10 is ten times as great as 1.
5 0
4 years ago
What is the volume of a cylinder that is 40 inches deep and 16 inches in diameter
Rudik [331]
In a cylinder
height,h=40inches
diameter,d=16inches
radius,r=16/2
=8inches

so, by formula,

volume,v= πr^2h
=22/7*8*8*40
=8045.71 cubic inches
5 0
4 years ago
Consider the following graph of a piecewise-defined function.
netineya [11]
From the graph of peicewise-defined function, we shall obtain the answers to the questions as follows:
a] When x<-2, the value of f(x) will be f(x)=5
Answer: B:5

b] when x≥3, the value of f(x) will be f(x)=-3
Answer: <span>A: -3</span>
4 0
3 years ago
The dimensions of the swimming pool and the gym are proportional.
Paladinen [302]
<h3>The dimensions of the gym floor could be 150 feet by 120 feet</h3><h3>The dimensions of the gym floor could be 225 feet by 180 feet</h3>

<em><u>Solution:</u></em>

Given that,

The dimensions of the swimming pool and the gym are proportional

The pool is 75 feet long by 60 feet wide

To find: set of possible dimensions for the gym

To determine the possible dimensions for the gym, you would use the same number to multiply both 75 and 60

<em><u>One set of dimensions are:</u></em>

75 x 2 = 150

60 x 2 = 120

The dimensions of the gym floor could be 150 feet by 120 feet

<em><u>Other set of dimensions:</u></em>

75 x 3 = 225

60 x 3 = 180

The dimensions of the gym floor could be 225 feet by 180 feet

4 0
3 years ago
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