1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ilya [14]
3 years ago
5

Shirley graphed the line shown on the coordinate plane

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0
But this is not a question. proof? no question mark

You might be interested in
Isaac has piece of rope that is 5 yards long.Into how many 1/2 yard pieces of rope can Isaac cut the rope
RideAnS [48]
5 divided by 1/2 equal to 10 becuase you need to find how many 1/2 rope can you get from 5
5 0
3 years ago
A particle shade of orange paint has 2 cups of yellow paint for every 3 cups of red paint on the double number line circle the v
Marat540 [252]

Answer:

Given,

2 cups of yellow paint is needed for every 3 cups of red paint to make a batch of orange paint,

So, the ratio of yellow paint and red paint in a batch of orange paint = 2 : 3

Make two number lines,

First one represents the multiple of 2 and second one represents the multiples of 3,

By the double number line ( shown below ),

It is clear that,

For 3 batches of orange paint, 6 cups of yellow paint and 9 cups of red paint are needed.

7 0
3 years ago
The average length of a field goal in the National Football League is 38.4 yards, and the s. d. is 5.4 yards. Suppose a typical
Tasya [4]

Answer:

a) The sample is larger than 30, so, by the Central Limit Theorem, the distribution of the sample means will be normally distributed with mean 38.4 and standard deviation 0.8538.

b) 0.25% probability that his average kicks is less than 36 yards

c) 0.11% probability that his average kicks is more than 41 yards

d-a) The sample is larger than 30, so, by the Central Limit Theorem, the distribution of the sample means will be normally distributed with mean 38.4 and standard deviation 1.08

d-b) 1.32% probability that his average kicks is less than 36 yards

d-c) 0.80% probability that his average kicks is more than 41 yards

Step-by-step explanation:

To solve this question, we need to understand 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 normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 38.4, \sigma = 5.4, n = 40, s = \frac{5.4}{\sqrt{40}} = 0.8538

a. What is the distribution of the sample mean? Why?

The sample is larger than 30, so, by the Central Limit Theorem, the distribution of the sample means will be normally distributed with mean 38.4 and standard deviation 0.8538.

b. What is the probability that his average kicks is less than 36 yards?

This is the pvalue of Z when X = 36. So

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

By the Central Limit Theorem

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

Z = \frac{36 - 38.4}{0.8538}

Z = -2.81

Z = -2.81 has a pvalue of 0.0025

0.25% probability that his average kicks is less than 36 yards

c. What is the probability that his average kicks is more than 41 yards?

This is 1 subtracted by the pvalue of Z when X = 41. So

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

Z = \frac{41 - 38.4}{0.8538}

Z = 3.05

Z = 3.05 has a pvalue of 0.9989

1 - 0.9989 = 0.0011

0.11% probability that his average kicks is more than 41 yards

d. If the sample size is 25 in the above problem, what will be your answer to part (a) , (b)and (c)?

Now n = 25, s = \frac{5.4}{\sqrt{25}} = 1.08

So

a)

The sample is larger than 30, so, by the Central Limit Theorem, the distribution of the sample means will be normally distributed with mean 38.4 and standard deviation 1.08

b)

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

Z = \frac{36 - 38.4}{1.08}

Z = -2.22

Z = -2.22 has a pvalue of 0.0132

1.32% probability that his average kicks is less than 36 yards

c)

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

Z = \frac{41 - 38.4}{1.08}

Z = 2.41

Z = 2.41 has a pvalue of 0.9920

1 - 0.9920 = 0.0080

0.80% probability that his average kicks is more than 41 yards

4 0
3 years ago
What is m∠C?<br><br> Round the value to the nearest degree.
Elis [28]

Answer: m\angle C=53\°

Step-by-step explanation:

For this exercise you need to use the Inverse Trigonometric function arcsine, which is defined as the inverse function of the sine.

Then, to find an angle α, this is:

\alpha =arcsin(\frac{opposite}{hypotenuse})

In this case, you can identify that:

\alpha =m\angle C\\\\opposite=AB=36\ cm\\\\hypotenuse=AC=45\ cm

Then, substituting values into \alpha =arcsin(\frac{opposite}{hypotenuse}) and evaluating, you get that the measure of the angle "C" to the nearest degree, is:

m\angle C=arcsin(\frac{36\ cm}{45\ cm})\\\\m\angle C=53\°

5 0
3 years ago
PLEASE HELP ME QUICK
Ivanshal [37]

Answer:

B

Step-by-step explanation:

1/3

4 0
3 years ago
Read 2 more answers
Other questions:
  • . In the past hour. Ace Window Factory made 13
    14·2 answers
  • What property is 1x9=9 in
    14·1 answer
  • Select the equivalent expression.
    10·1 answer
  • A square measures 8 inches on each side. What is its area rounded off to the nearest square centimeter? (Note: 1 inch ≈ 2.54 cm)
    13·2 answers
  • Twelve more than 3 times a number is more than the opposite of 11
    11·2 answers
  • How are a ruler, a yardstick, and a measuring tape the same? How are they different?
    12·2 answers
  • On a test, the number of questions Pam answered correctly was
    9·1 answer
  • Un terreno cuadrangular mide 1/4 km de un lado y 1/6 km del otro lado. El area es 1/24.
    9·1 answer
  • One flight of stairs has a slope of 3/4 , while another flight of stairs contains points (-2,3) and (14, 15). Would these be par
    10·1 answer
  • User lilyangelcserwinski does not know how to spell truly i fear
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!