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
user100 [1]
3 years ago
14

What is the main difference between multiplying fractions and dividing fractions?

Mathematics
2 answers:
Elenna [48]3 years ago
8 0
The numbers get smaller in division and larger in multiplying
Rudiy273 years ago
5 0
If you mutilply, you times the d and n together. If you divide, you have to switch the d and n around for the 2nd fraction. then you do the same thing as you mutiply.
You might be interested in
Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on pa
Debora [2.8K]

Answer:

a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

b) 0.4129 = 41.29% probability that the mean return will be less than 8%

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 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.

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.

Mean 8.7% and standard deviation 20.2%.

This means that \mu = 8.7, \sigma = 20.2

40 years:

This means that n = 40, s = \frac{20.2}{\sqrt{40}}

(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?

This is 1 subtracted by the pvalue of Z when X = 13. So

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

By the Central Limit Theorem

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

Z = \frac{13 - 8.7}{\frac{20.2}{\sqrt{40}}}

Z = 1.35

Z = 1.35 has a pvalue of 0.9115

1 - 0.9115 = 0.0885

0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

(b) What is the probability that the mean return will be less than 8%?

This is the pvalue of Z when X = 8. So

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

Z = \frac{8 - 8.7}{\frac{20.2}{\sqrt{40}}}

Z = -0.22

Z = -0.22 has a pvalue of 0.4129

0.4129 = 41.29% probability that the mean return will be less than 8%

8 0
2 years ago
There are 16 people. Each person is broken down into the colors they prefer, the shades they prefer, and the tertiary gradients
Yuki888 [10]

Answer:

There are 69120 total combinations.

Step-by-step explanation:

To find the total number of combinations, we multiply all these values. So

16 people

18 colors

12 shades

20 tertiary gradients.

How many combinations are there total?

16*18*12*20 = 69120

There are 69120 total combinations.

8 0
2 years ago
Malia is planting tomato and pepper plants in her garden each tomato plant t requires 6 square feet and each pepper plant p requ
Misha Larkins [42]

4p + 6t ≤ 150 inequality represents this situation

<h3><u>Solution:</u></h3>

Given that,

tomato plant is represented by "t"

pepper plant is represented by "p"

Malia's garden has an area of 150 square feet

Given that each tomato plant "t" requires 6 square feet of space

<em><u>So, the area required to plant "t" tomato plants</u></em>:

= t x ( Area required by 1 tomato plant)  = t x ( 6 sq ft)  = 6t

Each pepper plant p requires 4 square feet of space

<em><u>So, the area required to plant p pepper plants   </u></em>

= p x ( Area required by 1  pepper plant)   = p x ( 4 sq ft)  = 4p

Given that total area of garden = 150 square feet

area of "p" pepper plants + area of "t" tomato plants = 4p + 6t

<em><u>So, now according to the question: </u></em>

The area occupied by both plants must be less than or equal to total area of garden

Total area of both plants ≤ Total area of the garden

4p + 6t ≤ 150

Thus inequality is found

5 0
3 years ago
5x-2y=3<br> -5x+4y=9<br> Solve the system of equations
german

the answer to this system of linear equations is (3,6)

3 0
3 years ago
Triangle X Y Z is shown. Angle X Y Z is 51 degrees and angle Y Z X is 76 degrees. The length of X Z is 2.6, the length of X Y is
stepan [7]

Answer:

z=3.2\ units

Step-by-step explanation:

we know that

In the triangle XYZ

Applying the law of sines

\frac{2.6}{sin(51^o)}=\frac{z}{sin(76^o)}

solve for z

z=\frac{2.6}{sin(51^o)}sin(76^o)

z=3.2\ units

5 0
3 years ago
Read 2 more answers
Other questions:
  • Round each decimal number to the near estas integer: 11.90, 5.49, 7.09, 8.5, -2.2
    11·1 answer
  • jason is training for a marathon bike ride. His average speed increase from 3 miles per hour to 6 miles per hour in 3 months fin
    9·1 answer
  • Helpppppppp as soon as possible
    11·2 answers
  • some engines require oil to be mixed with gasoline. For every gallon used 4 ounces of oil should be added. How much gas is neede
    14·1 answer
  • For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coo
    7·1 answer
  • Greg wants to find the median of a set of 9 data items. First,he ordered the items from least to greatest. What should he do nex
    6·2 answers
  • Which ordered pairs are solutions to the equation?
    9·1 answer
  • How do we find the value of y when x = 0​
    6·1 answer
  • Help me PLEASEEEEE I need help
    6·2 answers
  • Solve the system of equations by using substitution.<br> y = 2x+ 3<br> x-y=-2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!