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r-ruslan [8.4K]
2 years ago
6

Of the 20 people in the store, 6 are from out-of-state. What percent of the people are from out-of-state?

Mathematics
1 answer:
MAXImum [283]2 years ago
6 0

Step-by-step explanation:

Let’s set up a proportion.

6/20=x\100 (percent is always out of 100. set parts and wholes equal)

x=30

30 percent of the people are from out of state.

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The weight for crates of apples is normally distributed with a mean weight of 34.6 pounds and a standard deviation of 2.8 pounds
Tatiana [17]

Answer:

42.22% probability that the weight is between 31 and 35 pounds

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 problem, we have that:

\mu = 34.6, \sigma = 2.8

What is the probability that the weight is between 31 and 35 pounds

This is the pvalue of Z when X = 35 subtracted by the pvalue of Z when X = 31. So

X = 35

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

Z = \frac{35 - 34.6}{2.8}

Z = 0.14

Z = 0.14 has a pvalue of 0.5557

X = 31

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

Z = \frac{31 - 34.6}{2.8}

Z = -1.11

Z = -1.11 has a pvalue of 0.1335

0.5557 - 0.1335 = 0.4222

42.22% probability that the weight is between 31 and 35 pounds

6 0
2 years ago
Simplify <br> (4x2 − 8x + 16)/4
Novay_Z [31]
4x-4this is the awnser
4 0
3 years ago
Read 2 more answers
What is the value of 3ab + 5b - 6 when a = -1 and b = 3?<br><br> 0<br> 6<br> 18<br> 24
Andru [333]

Answer:

the answer is 0

all work is shown

3 0
3 years ago
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A population numbers 19,000 organisms initially and grows by 4.8% each year. Suppose P represents population and t represents th
V125BC [204]

Answer:

The exponential model for the population is P(t) = 19000e^{0.048t}

Step-by-step explanation:

The exponential model for the population has the following format:

P(t) = P(0)e^{rt}

In which P(0) is the initial population and r is the growth rate, as a decimal.

A population numbers 19,000 organisms initially and grows by 4.8% each year.

This means that P(0) = 19000, r = 0.048

So

P(t) = P(0)e^{rt}

P(t) = 19000e^{0.048t}

The exponential model for the population is P(t) = 19000e^{0.048t}

8 0
2 years ago
Please answer this ASAP. The question is down below. Thank you!
Sonja [21]

Answer:

y = .5x^2 -2x -5

Step-by-step explanation:

Well we can start by seeing if the parabola is the same width by comparing it to its parent function ( y = x^2 )

In y = x^2 the 2nd lowest point is just up 1 and right 1 away from the vertex.

This is not true for our parabola.

So we can widen it by to the desidered width by making the x^2 into a .5x^2.

So far we’ve got y = .5x^2

Now the parabola y intercept is at -5.

So we can add a -5 into the equation making it.

y = .5x^2 - 5

Now for the x value.

So we can find the x value by seeing how far away the parabola is from from the y axis.

So the x value is -2x.

So the full equation is y = .5x^2 -2x -5

Look at the image below to compare.

7 0
3 years ago
Read 2 more answers
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