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2 years ago

Question 11 of 25

Mathematics

1 answer:

Greeley [361]2 years ago

4 0

Answer:

Step-by-step explanation:

first multiply both sides by 12

collect like terms

x/12×12+3×12<=7×12

x+36<=84

x<=84-36

x<=48

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Simply<br> 7p2 x 3p<br> 14p4

vivado [14]

Answer:

${ \tt{ = \frac{7 {p}^{2} \times 3p}{14 {p}^{4} } }} \\ = { \tt{ \frac{21 {p}^{3} }{14 {p}^{4} } }} \\ = { \tt{1.5 {p}^{ - 1} }}$

6 0

2 years ago

In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes

ale4655 [162]

Answer:

The sample mean is $\bar{x}=14.371$ min.

The sample standard deviation is $\sigma = 18.889$ min.

Step-by-step explanation:

We have the following data set:

$\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}$

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.

The formula for the mean of a sample is

$\bar{x} = \frac{{\sum}x}{n}$

where, $n$ is the number of values in the data set.

$\bar{x}=\frac{0.15+0.82+0.81+1.44+2.7+3.28+4+4.7+4.96+6.49+7.25+8.03+8.4+12.15+31.89+32.47+33.79+36.80+72.92}{19}\\\\\bar{x}=14.371$

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }$

The mean of a sample is $\bar{x}=14.371$ .

Create the below table.

Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 6422.0982$

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} } = \sqrt{ \frac{ 6422.0982 }{ 19 - 1} } \approx 18.889$

7 0

2 years ago

If ABC company make 95 million a year how much money would it make in 9 days

faust18 [17]

1. Divide 95 million by the amount of days in a year

95 million divided by 365 = $260273.97

$260273.97 is made in a day.

Multiply it by 9.

So, 260273.97 x 9 = $2342465.75

$2342465.75 is made in 9 days.

5 0

2 years ago

3/12 - 1/3 =<br> Please answer

Alecsey [184]

Answer:

-0.0833

Step-by-step explanation:

7 0

3 years ago

Lewis needs 1/8 quart of paint to cover 10 square yards. How many square yards can he paint with 4 quarts of paint?

nalin [4]

Answer:

Lewis can paint 320 square yards.

Step-by-step explanation:

1 quart covers 80 square yards

8 x 10=80

4 quarts covers 320 square yards

80 x 4=320

4 0

2 years ago