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
Leto [7]
3 years ago
5

If you throw a ball at a rectangular board that is 4 ft. by 5 ft. with a smaller 2 ft. by 2 ft. square painted in the center of

the board, what is the probability of hitting the square if you are equally likely to hit anywhere on the board?
Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0

Answer:

Step-by-step explanation:

Probability=(2*2)/(4*5)=1/5=20 %

You might be interested in
What fraction makes the equation true?<br> Enter the answer in the boxes.<br><br> 5/6x =20/24
Darina [25.2K]

Answer:

x=1

Step-by-step explanation:

To find the value of x, we have to move all the real numbers to the other side.

5/6x = 20/24

We have divide each side by 5/6. Once we do that, we get—

x = 4/4

x = 1

6 0
3 years ago
The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm197.5 cm and a standard deviation
fiasKO [112]

Answer:

a) 5.37% probability that an individual distance is greater than 210.9 cm

b) 75.80% probability that the mean for 15 randomly selected distances is greater than 196.00 cm.

c) Because the underlying distribution is normal. We only have to verify the sample size if the underlying population is not normal.

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 question, we have that:

\mu = 197.5, \sigma = 8.3

a. Find the probability that an individual distance is greater than 210.9 cm

This is 1 subtracted by the pvalue of Z when X = 210.9. So

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

Z = \frac{210.9 - 197.5}{8.3}

Z = 1.61

Z = 1.61 has a pvalue of 0.9463.

1 - 0.9463 = 0.0537

5.37% probability that an individual distance is greater than 210.9 cm.

b. Find the probability that the mean for 15 randomly selected distances is greater than 196.00 cm.

Now n = 15, s = \frac{8.3}{\sqrt{15}} = 2.14

This probability is 1 subtracted by the pvalue of Z when X = 196. Then

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

By the Central Limit Theorem

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

Z = \frac{196 - 197.5}{2.14}

Z = -0.7

Z = -0.7 has a pvalue of 0.2420.

1 - 0.2420 = 0.7580

75.80% probability that the mean for 15 randomly selected distances is greater than 196.00 cm.

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The underlying distribution(overhead reach distances of adult females) is normal, which means that the sample size requirement(being at least 30) does not apply.

5 0
3 years ago
Two poles 8m and 13m high
Brilliant_brown [7]

Answer:

13 m

Step-by-step explanation:

<u>The distance x is:</u>

x = √12² + (13 -8)² = √144 + 25 = √169 = 13 m

6 0
3 years ago
PLEASEE HELP ME!!!!
Svet_ta [14]

The angle would be 35 degrees (the complement is 90-35 = 55 degrees.)  Hope this helps!

3 0
3 years ago
Read 2 more answers
A cone is inscribed in a right square pyramid. What is the remaining volume if the
diamong [38]

Answer:

3tgfjhihvyuvyuhihhibib

4 0
2 years ago
Other questions:
  • Rosalia passed out fliers that say, “Vote for Rosalia!” She gave out 85 fliers on Monday, 66 fliers on Tuesday, and 99 fliers on
    15·1 answer
  • Can someone help me please ?? :)
    7·2 answers
  • (14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4) simplify and answer in standard form
    8·1 answer
  • Finish this simile. Use your imagination to complete the description.
    12·2 answers
  • What is the value of x please hurry
    8·2 answers
  • If the number 38,469 is rounded to the nearest thousand, how many zeros does the rounded number have?
    13·2 answers
  • Wayne walked from the car dealership to the post office and then from the post office to the garbage dump. How far did Wayne wal
    15·2 answers
  • F(x)=x^3+9x^2+23x + 15
    8·1 answer
  • Find the sum of (x+5), (-4x-2), and (2x-1)<br><br> Show your work please
    7·2 answers
  • Please help I have no one to explain this to me​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!