All categories

3 years ago

Plzzzzzzzzzzzzzzzzzzzzz help show your work - 9/2+-8/13

Mathematics

2 answers:

Veronika [31]3 years ago

6 0

Answer:

Step-by-step explanation:

Find common denominator of 2 & 13 = 26

Find equivalent fraction with common denominator

$\frac{-9}{2}+\frac{-8}{13}=\frac{-9*13}{2*13}+\frac{-8*2}{13*2}\\\\=\frac{-117}{26}+\frac{(-16)}{26}\\\\=\frac{-117-16}{26}\\\\=\frac{-133}{26}\\\\=-5\frac{3}{26}$

S_A_V [24]3 years ago

3 0

Answer:

-133/26

Step-by-step explanation:

-9/2 + -8/13

First find a common domintor.

26 will be a common domintor.

2 × 13=26 so multiply -9 by 13= -117

13×2=26 so multiply -8 by 2= -16

-117/26 + -16/26 = -133/26

You might be interested in

Can someone please help me with this expression?

Anton [14]

the answer to this question is

1220703125

7 0

3 years ago

5. The superintendent of the local school district claims that the children in her district are brighter, on average, than the g

anygoal [31]

Answer:

We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

105, 109, 115, 112, 124, 115, 103, 110, 125, 99

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1117}{10} = 111.7$

Sum of squares of differences = 642.1

$S.D = \sqrt{\frac{642.1}{49}} = 8.44$

We are given the following in the question:

Population mean, μ = 106

Sample mean, $\bar{x}$ = 111.7

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 8.44

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 106\\H_A: \mu > 106$

We use one-tailed(right) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135$

Now,

$t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = 1.833$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

4 0

3 years ago

What is the average of pi

Oksanka [162]

The average of pi is 3.14 and is an irrational #

5 0

3 years ago

Paula's house is assessed at $213,000, and her property tax rate is 2.9%. How

NARA [144]

Answer:A

Step-by-step explanation:

She is taxed at a rate of 2.9%, so each year she is taxed 213000 * 2.9% . calculating this, we find that every year, she must pay 6177 in taxes. However, we need the amount in a month, so we divide by 12, to get 6177/12= 514.75, or A

3 0

3 years ago

Read 2 more answers

Two triangular roofs are similar. The ratio of the corresponding sides of these roofs is 2:3. If the altitude of the smaller roo

schepotkina [342]

Answer: 6.75 feet

Step-by-step explanation:

Since, the ratio of the side of the similar triangle = 2 : 3

Thus, by the property of similar triangle,

The ratio of the altitudes of the triangle = 2 : 3

Let the altitude of smaller triangle = 2 x

And, the altitude of larger triangle = 3 x

Where x is any number.

According to the question,

2 x = 4.5

x = 2.25

Therefore, the altitude of larger triangle = 3 × 2.25 = 6.75 feet

5 0

3 years ago