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
beks73 [17]
2 years ago
15

If f(x)=(3+x)/(x-3), what is f(a+2)?

Mathematics
1 answer:
tigry1 [53]2 years ago
3 0

Answer:

To answer items such as this, we directly substitute the a + 2 to the all the x's in the function such that,

                           f(a + 2) = (3 + a + 2) / (a + 2 - 3)

Simplifying the function generated above,

                           f(a + 2) = (5 + a) / (a - 1)

You might be interested in
The diameter of a sphere is 42 centimeters. find the surface area to the nearest tenth
Mademuasel [1]
A ~ 5541.77cm squared
8 0
3 years ago
4j + 4j − 6j − j = 12 <br> Solve for J
kherson [118]
J equals 12...........
3 0
3 years ago
Read 2 more answers
Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed with a mean of 67.7 grams an
Alexxx [7]

Answer:

<u>a. s.e. = 0.338</u>

<u>b. The  probability of finding a random slice of pizza with a mass of less than 67.2 grams is 0.5871 or 58.71%</u>

<u>c. The probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams is 0.0694 or 6.94%</u>

d. <u>The sample mean of 62.75 would represent the 15th percentile</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question properly:

μ of the mass of slices of pizza for a certain brand = 67.7 grams

σ of the mass of slices of pizza for a certain brand = 2.28 grams

2. For samples of size 20 pizza slices, what is the standard deviation for the sampling distribution of the sample mean?

Let's recall that the standard deviation of the sampling distribution of the mean is called the standard error of the mean and its formula is:

μσs.e.= √σ/n, where n is the sample size.

s.e. = √2.28/20

<u>s.e. = 0.338</u>

3. What is the probability of finding a random slice of pizza with a mass of less than 67.2 grams?

Let's find the z-score for X = 67.2, this way:

z-score = (X - μ)/σ

z-score = (67.2 - 67.7)/2.28

z-score = 0.5/2.28

z-score = 0.22 (rounding to the next hundredth)

Now, using the z-table, let's find p, the probability:

p (z = 0.22) = 0.5871

<u>The  probability of finding a random slice of pizza with a mass of less than 67.2 grams is 58.71%</u>

4.  What is the probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams?

Let's use the central limit theorem to find the z-score, this way:

z-score = X - μ/s.e

z-score = 67.2 - 67.7/0.338

z-score = -0.5/0.338

z-score = - 1.48

Now, using the z-table, let's find p, the probability:

<u>p (z = -1.48) = 0.0694</u>

5. What sample mean (for a sample of size 20) would represent the bottom 15% (the 15th percentile)?

For p = 0.150, let's find the z-score:

z-score = - 2.17

z-score = X - μ/s.e

- 2.17 = (X - 67.7)/2.28

- 4.95 = X - 67.7

X = 67.7 - 4.95

X = 62.75 (rounding to the next hundredth)

<u>The sample mean of 62.75 would represent the 15th percentile</u>

7 0
3 years ago
An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an est
MrRa [10]

Answer:

<em> 85% level of the confidence interval is</em>

<em>(26.337, 26.662)</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given the size of the sample 'n' = 295

Mean of the sample x⁻ = 26.5

The Standard deviation of the Population = 2.7

85% level of the confidence interval is determined by

(x^{-} - Z_{0.15} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.15} \frac{S.D}{\sqrt{n} })

Critical value Z₀.₁₅ = 1.036

<em> 85% level of the confidence interval is determined by</em>

(x^{-} - Z_{0.15} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.15} \frac{S.D}{\sqrt{n} })

(26.9 -1.036 \frac{2.7}{\sqrt{295} } , 26.5 + 1.036 \frac{2.7}{\sqrt{295} })

( 26.5 - 0.1628 , 26.5+0.1628)

(26.3372,26.6628)

7 0
3 years ago
A die is tossed. find the odds against rolling a number greater than 1
masya89 [10]

Answer:

5/6

Step-by-step explanation:

cuz there's 6 sides and there are 5 more sides than the 1

6 0
2 years ago
Read 2 more answers
Other questions:
  • Find the value of 9 in 6493
    10·1 answer
  • 2 times 2 plus 10 plus 200 plus 56
    7·2 answers
  • What is a equivalent fraction to 5/6?
    12·1 answer
  • Find the annual simple interest rate. I=$17, P=$500, t=2 years
    7·2 answers
  • PLEASE PLEASE PLEASE The graph of g(x), shown below, resembles the graph of f(x) = x^4-x^2 but it has been changed somewhat. Whi
    15·1 answer
  • How to simplify 3(x+2)
    13·1 answer
  • This rectangle represents the base of a rectangular prism. The height of the rectangular prism is 13 ft.
    10·2 answers
  • Tim's family is visiting Emeryville. They plan to see a movie and then explore the town. The
    8·1 answer
  • 8) In square HOPE, mH = 5x. Find the value of x.<br>A. 10<br>B. 18<br>C. 70<br>D. 15
    13·1 answer
  • Samantha and mia each left julia’s house at the same time. mia walked north at 7 kilometers per hour. samantha ran west at 11 ki
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!