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3 years ago

What number is 35% of 22?

2 answers:

8 0

- - To find a "what number is x% of x"
You have to first change 35% into a decimal.

35%=0.35
Now 0.35*22=7.7

Therefore your final answer is 7.7

grin007 [14]3 years ago

6 0

35(22)= 770
770/100=7.7
Hope this helps :) <3

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The lengths of 3-inch nails manufactured on a machine are normally distributed with a mean of 3.0 inches and a standard deviatio

otez555 [7]

Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

In this problem:

The mean is of 3 inches, hence $\mu = 3$ .

The standard deviation is of 0.009 inches, hence $\sigma = 0.009$ .

Nails that are more than 0.02 inches from the mean are unusable, hence:

$Z = \frac{0.02}{\sigma}$

$Z = \frac{0.02}{0.009}$

$Z = 2.22$

The proportion is P(|Z| > 2.22), which is 2 multiplied by the p-value of Z = -2.22.

Z = -2.22 has a p-value of 0.0132.

2 x 0.0132 = 0.0264

0.0264 x 100% = 2.64%

2.64% of all the nails produced by this machine are unusable.

You can learn more about the normal distribution at brainly.com/question/24663213

7 0

3 years ago

Solve the following system using a matrix. 7a - b = -1 -4a - 2b = -2

Assoli18 [71]

1. a=-1+b/7 is the right answer. First you had to add by b from both sides of equation, and it gave us, $7a-b+b=-1+b$ . And then simplify, and it gave us, $7a=-1+b$ . Divide by 7 from both sides of equation, and it gave us, $\frac{7a}{7}=-\frac{1}{7}+ \frac{b}{7}$ . Finally simplify, and it gave us the answer is a=-1+b/7 is the right answer.

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2. a=-b-1/2 is the right answer. First you had to add by 2b from both sides of equation, and it gave us, $-4a-2b+2b=-2+2b$ . And then simplify, and it gave us, $-4a=-2+2b$ . Next you can also divide by -4 from both sides of equation, and it gave us, $\frac{-4a}{-4}=-\frac{2}{-4}+\frac{2b}{-4}$ . Finally simplify, and it gave us the answer is a=-b-1/2 is the right answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie

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3 0

3 years ago

Read 2 more answers

7.4x10^-8-6.7x10^-9 please help me I don’t know the answer

postnew [5]

Answer:

Step-by-step explanation:

7.4×10^(-8) - 6.7×10^(-9) = 6.73×10^-8 is 9.05405% smaller than 7.4×10^(-8) = 7.4×10^-8

6 0

3 years ago

Match each type of vector reflection with the matrix used to achieve it

ElenaW [278]

Let us try reflecting (2,3) about x=y and across x-axis and y-axis.

If we are reflecting about y=x, that means both x,y values will be interchanged that is (2,3) will become (3,2)and this will be achieved by $\left[\begin{array}{cc}0&1\\1&0\end{array}\right]$ .

And for reflection across x-axis,y-value will be multiplied by -1.That is (2,3) becomes (2,-3) and the matrix used to achieve it is $\left[\begin{array}{cc}1&0\\0&-1\end{array}\right]$ .

For reflection across y-axis, x-value will be multiplied by -1. That is (2,3) becomes (-2,3) when reflected across y-axis. The matrix used to achieve it will have -1 in the first place that is $\left[\begin{array}{cc}-1&0\\0&1\end{array}\right]$

3 0

4 years ago

Witch expression represents the proud t of 3 and (5.4n plus 1.8

Elza [17]

I think the expression is

3t(5.4n + 1.8 )

5 0

4 years ago