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3 years ago

Happy New Year!!

Mathematics

1 answer:

Kazeer [188]3 years ago

4 0

145÷7.25 = 20

Step-by-step explanation:

This is a simple division of numbers with decimals.

Here we have dividend ( the number to be divided) (or numerator) = 145

and divisor (the number which divides dividend) (or denominator)= 7.25

Now, in case of decimals in denominator, we add number of zeroes in numerator equal to number of digits after decimal point in denominator, and thus the decimal point gets removed. So, this gives us 14500÷725, which by simple calculation is equal to 20.

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A rectangular prism is 10 inches long, 5 inches wide, and 6 1/2 inches tall. What is the volume in cubic inches of the prism?

Angelina_Jolie [31]

Answer:

325 cubic inches

Step-by-step explanation:

10*5=50

50*6.5=325

Hope that helped! Please don't hate me if I did something wrong!

4 0

2 years ago

If 75% of x is 18 then find the value of x?

VladimirAG [237]

Set up an equation:

0.75x = 18

Divide both sides by 0.75:

x = 18/0.75

x = 24

Answer: 24

7 0

2 years ago

Read 2 more answers

You downloaded a video game to your computer.You have 60-minute free trail of the game.It takes 5 minutes to set up the game and

Lorico [155]

$6$
that is the answer to the equation of your question

6 0

2 years ago

Use a formula to find the monthly payment on a home mortgage of $84,400 at 4.884% interest for 15 years.

leonid [27]

The applicable formula is
A = P(r/12)/(1 -(1+r/12)^(-12n))
where P is the principal amount,
r is the annual interest rate (compounded monthly), and
n is the number of years.

Using the formula, we find
A = 84,400*(0.04884/12)/(1 -(1+0.04884/12)^(-12*15))
= 84,400*0.00407/(1 -1.00407^-180)
= 343.508/0.518627
≈ 662.34

The monthly payment on a mortgage of $84,400 for 15 years at 4.884% will be
$662.34

6 0

3 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

3 years ago