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2 years ago

Pls, Help with the discussion essay below.

Mathematics

2 answers:

Ksivusya [100]2 years ago

7 0

Answer:

Hm, when determining the best graph you have to look at the data and the questions. let's say during softball practice my sister throws up to 60 to 79 mph and up to 0 to 6 pitches each time. You would use a bar graph to organize it. the height of your bar graph would represent the number of times you throw it. Hope that makes sense and helps.

Rudik [331]2 years ago

4 0

Answer:

I need an image of the question

Step-by-step explanation:

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Ethan pays 52.80 for some more f the boxes work out the number of boxes he buys 1 box 2.40 2 4.80 and 5 12 10 24

Slav-nsk [51]

The pricing of the boxes seems to be consistently 2.40 per box. Ethan's cost is
.. 52.80 = 2.40 * (# of boxes)
.. 52.80/2.40 = (# of boxes)
.. 22 = # of boxes

Ethan has bought 22 boxes for 52.80.

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3 years ago

A football team played A games last year. They lost B of those games. What was their winning percentage?

Alexeev081 [22]

Winning%=100[wins/(total games)]

w%=100(A-B)/A

So the way that your choice expressed that is:

(A-B)/A x 100

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3 years ago

Time spent using e-mail per session is normally distributed, with mu equals 11 minutes and sigma equals 3 minutes. Assume that

liq [111]

Answer:

a) 0.259

b) 0.297

c) 0.497

Step-by-step explanation:

To solve this problem, it is important to know the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central limit theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 11, \sigma = 3$

a. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 10.8 and 11.2 minutes?

Here we have that $n = 25, s = \frac{3}{\sqrt{25}} = 0.6$

This probability is the pvalue of Z when X = 11.2 subtracted by the pvalue of Z when X = 10.8.

X = 11.2

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{11.2 - 11}{0.6}$

$Z = 0.33$

$Z = 0.33$ has a pvalue of 0.6293.

X = 10.8

$Z = \frac{X - \mu}{s}$

$Z = \frac{10.8 - 11}{0.6}$

$Z = -0.33$

$Z = -0.33$ has a pvalue of 0.3707.

0.6293 - 0.3707 = 0.2586

0.259 probability, rounded to three decimal places.

b. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 10.5 and 11 minutes?

Subtraction of the pvalue of Z when X = 11 subtracted by the pvalue of Z when X = 10.5. So

X = 11

$Z = \frac{X - \mu}{s}$

$Z = \frac{11 - 11}{0.6}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5.

X = 10.5

$Z = \frac{X - \mu}{s}$

$Z = \frac{10.5 - 11}{0.6}$

$Z = -0.83$

$Z = -0.83$ has a pvalue of 0.2033.

0.5 - 0.2033 = 0.2967

0.297, rounded to three decimal places.

c. If you select a random sample of 100 sessions, what is the probability that the sample mean is between 10.8 and 11.2 minutes?

Here we have that $n = 100, s = \frac{3}{\sqrt{100}} = 0.3$

This probability is the pvalue of Z when X = 11.2 subtracted by the pvalue of Z when X = 10.8.

X = 11.2

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{11.2 - 11}{0.3}$

$Z = 0.67$

$Z = 0.67$ has a pvalue of 0.7486.

X = 10.8

$Z = \frac{X - \mu}{s}$

$Z = \frac{10.8 - 11}{0.3}$

$Z = -0.67$

$Z = -0.67$ has a pvalue of 0.2514.

0.7486 - 0.2514 = 0.4972

0.497, rounded to three decimal places.

5 0

3 years ago

Jackie cut a 2 yard spool into 5 equal lengths of ribbon?

lidiya [134]

5 units = 2 yd.
1 unit = 2/5
Each piece of ribbon is 2/5 yd. long.

6 0

3 years ago

(2x-1)(x+5)(3x-2) expanded and simplified

STatiana [176]

To simplify, we can use the FOIL method. That stands for first, outer, inner, last. What we do is take two factors at a time and multiply the first terms by each other, the outer terms together, etc.

Let's start with (2x-1) and (x+5)

First: 2x * x = 2x^2
Outer: 2x * 5 = 10x
Inner: -1 * x = -x
Last: -1 * 5 = -5

2x^2 + 9x - 5

Now FOIL this result with (3x - 2)

6x^3 - 4x^2 + 27x^2 - 18x - 15x + 10

Simplify:

6x^3 - 23x^2 - 33x + 10

6 0

3 years ago