All categories

4 years ago

(-3/7) divided by (-1 1/14)hurry!

Mathematics

1 answer:

7nadin3 [17]4 years ago

8 0

Answer:

$\frac{45}{98}$

Step-by-step explanation:

We have $-\frac{3}{7} /(-1 \frac{1}{14} )$

The first thing that we can do is to remove the mixed number

$-\frac{3}{7} /(-\frac{15}{14} )$

When you divide by a fraction, you can instead multiply by the reciprocal, which is that same fraction flipped upside down.

$-\frac{3}{7} *(-\frac{15}{14} )$

Now, we can multiply across the top and the bottom

$\frac{45}{98}$

You might be interested in

A bag contains tiles. 3 tiles of red, 6 tiles of green, 3 tiles are blue. A tile will be randomly selected from the bag. What is

ruslelena [56]

Answer:

The probability is 0.5 tiles will be green

Step-by-step explanation:

Hope this helps

7 0

3 years ago

Which comparison statement is true? A. 7.24 < 7.240 B. 7.24 > 7.240 C. 7.24 = 7.240

KIM [24]

The answer is c they are equal to each other because the zero does not add anything to that number it is a place holder.

8 0

3 years ago

Read 2 more answers

$22.00+$14.00= <br> answer this

Zigmanuir [339]

Answer:

$36

Step-by-step explanation:

22+14=36

6 0

3 years ago

Solve the simultaneous equations y=3x+2 and y=x+6

kogti [31]

Answer:

x=2

Step-by-step explanation:

y=3x+2

y=x+6

Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.

Therefore, substitute into both equations as shown:

3x+2=x+6

3x-x=6-2 (bring 2 to the other side by subtracting 2 as well as x)

2x=4

2x/2=4/2 (dividing 2 on both sides to get rid off 2 in 2x)

x=2.

5 0

3 years ago

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

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