Use the data given below to answer the following questions: 68, 63, 67, 66, 65, 87, 69, 61, 86, 82, 28

Needs to be in fraction form and simplified 3 4/5 + 4 5/6 =? 10 points

LenaWriter [7]

Answer:

259/30 or 8 19/30 depending on what format your teacher wants the answer

Step-by-step explanation:

First we can turn both mixed fractions into improper fractions and to do that we multiply the whole number by the denominator and that add that to the top number. So for 3 4/5 we would multiply 3 and 5 and than add 4 getting us to 19/5 doing the same to 4 5/6 gets us to 29/6. Now in order to add fractions we need to get a common denominator. The least common multiple of 5 and 6 is 30 so we will multiply each fraction by whatever number will give us 30 in the denomiator. for 19/5 that number is 6 so our new fraction is 114/30 and for 29/6 that number is 5 so our new number is 145/30. Now we just add the numerators and simplify. 114/30+145/30=259/30

I hope this helps and please don't hesitate to ask if there is anything still unclear!

6 0

3 years ago

-6x+5y=1 and 6x+4y=10.substitution

nexus9112 [7]

Answer:

(23/27, 11/9)

Step-by-step explanation:

Given the simultaneous equation;

-6x+5y=1..... 1

6x+4y=10.... 2

Add both equations

5y + 4y = 1+10

9y = 11

y = 11/9

Substitute y = 11/9 into 1;

From 1;

-6x+5y=1.

-6x + 5(11/9) = 1

-6x + 55/9 = 1

-6x = 1- 55/9

-6x = (9-55)/9

-6x = -46/9

x = -46/-54

x = 23/27

The solution to the system of equation is (23/27, 11/9)

8 0

3 years ago

The height of a right rectangular prism is three times the width of the base. The length of the base is twice the width.

Elena L [17]

Answer:

It is 6w3 cubic units

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Lori owes her mom $400. She pays her debt off over 40 weeks.

Serggg [28]

Answer:

10 dollars per week

Step-by-step explanation:

400 ÷ 40 is 10

3 0

4 years ago

Read 2 more answers

A certain type of thread is manufactured with a mean tensile strength of 78.3 kilograms and a standard deviation of 5.6 kilogram

azamat

Answer:

(a) The variance decreases.

(b) The variance increases.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

Then, the mean of the sample mean is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the sample mean is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

The standard deviation of sample mean is inversely proportional to the sample size, n.

So, if n increases then the standard deviation will decrease and vice-versa.

(a)

The sample size is increased from 64 to 196.

As mentioned above, if the sample size is increased then the standard deviation will decrease.

So, on increasing the value of n from 64 to 196, the standard deviation of the sample mean will decrease.

The standard deviation of the sample mean for n = 64 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{64}}=0.7$

The standard deviation of the sample mean for n = 196 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{196}}=0.4$

The standard deviation of the sample mean decreased from 0.7 to 0.4 when n is increased from 64 to 196.

Hence, the variance also decreases.

(b)

If the sample size is decreased then the standard deviation will increase.

So, on decreasing the value of n from 784 to 49, the standard deviation of the sample mean will increase.

The standard deviation of the sample mean for n = 784 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{784}}=0.2$

The standard deviation of the sample mean for n = 49 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{49}}=0.8$

The standard deviation of the sample mean increased from 0.2 to 0.8 when n is decreased from 784 to 49.

Hence, the variance also increases.

6 0

3 years ago