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
inna [77]
3 years ago
14

A and b are positive integers and a–b = 3. Evaluate the following:

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0

1/27

1/27

125

Step-by-step explanation:

Given that,

a - b = 3

9^(1/2b) /3^a = 3^(2/2b) /3^a

= 3^b/3^a

= 3^(b-a)

= 3^(-3)

= 27^(-1)

= 1/27

27^(1/3b) /9^(1/2a) = 3^(3/3b) /3^(2/2a)

= 3^b/3^a

= 3^(b-a)

= 3^(-3)

= 27^(-1)

= 1/27

125^(1/3a) /25^(1/2b) = 5^(3/3a) /5^(2/2b)

= 5^a/5^b

= 5^(a- b)

= 5^3

= 125

You might be interested in
What is the simplified form of -(x-4)<br><br> -x-4<br> -x+4<br> X+4<br> X-4<br><br> Show your work
Sphinxa [80]

Answer:

Step-by-step explanation:

X-4

7 0
3 years ago
Help answer this plz
Sphinxa [80]
X=-1 is the answer. Hope that helps!
8 0
3 years ago
Read 2 more answers
PLEASE HELP QUICKLY
andreev551 [17]

Answer:

He ran one mile in 20 minutes

Step-by-step explanation:

4 0
3 years ago
A circle has a diameter of 18in is 1 in approximately 2.5 cm is what is a diameter in centimeters
sergejj [24]

Answer:

Answer: 45

Step-by-step explanation:

Well it seems like your answer would follow along with is:

`18x2.5=45

Hope this helps good sir!

3 0
3 years ago
Suppose the weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams. The weights
user100 [1]

Answer:

a) 0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.

b) The weight that 80% of the apples exceed is of 78.28g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams.

This means that \mu = 85, \sigma = 8

a. Find the probability a randomly chosen apple exceeds 100 g in weight.

This is 1 subtracted by the p-value of Z when X = 100. So

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

Z = \frac{100 - 85}{8}

Z = 1.875

Z = 1.875 has a p-value of 0.9697

1 - 0.9696 = 0.0304

0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.

b. What weight do 80% of the apples exceed?

This is the 100 - 80 = 20th percentile, which is X when Z has a p-value of 0.2, so X when Z = -0.84.

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

-0.84 = \frac{X- 85}{8}

X - 85 = -0.84*8

X = 78.28

The weight that 80% of the apples exceed is of 78.28g.

5 0
3 years ago
Other questions:
  • Someone help me with this one?
    5·2 answers
  • Pamela is shopping for bottled water at the supermarket. Which is the best buy?
    11·2 answers
  • Yolanda closed on a 20 year home loan for $83,000. she chooses to buy only 1 point at closing. by buying a point at her closing,
    10·2 answers
  • What is 4 divide by 2
    10·1 answer
  • 4 − (x + 2) &lt; −3(x + 4)
    8·1 answer
  • HELPPPPPPPPP A cylinder has a radius of 24 m and a height of 9 m. What is the exact volume of the cylinder? Question 1 options:
    12·2 answers
  • A cell phone company offers service for a flat rate of 20$ per month,plus 3 cents a minute. Which expression could represent the
    9·1 answer
  • Anyone able to help?
    13·1 answer
  • OK LAST ONE PLEASEEEEE
    14·1 answer
  • 10 dictionare si 2 truse de stiinte costa 550 lei 10 dictionare si 5 truse de stiinte costa 1150 lei cat costa un dictionar ? ca
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!