Answer:
2
Step-by-step explanation:
Which represents the solution set of the inequality 5x-9 < 21? a. x < 12/5 b. x > 12/5 c. x > 6 d. x < 6
We first need to express this problem as an equation. We'll begin with the formula for perimeter:
2L + 2W = P
Insert any known values:
2L + 2W = 176
Because the carpet is rectangular, the two longer sides are equal in length and the two shorter sides are equal in length. The width can be expressed simply as "x" inches. Insert this variable into the equation:
2L + 2x = 176
The length depends directly on the value of the width. We know from the information given in the problem that the length is equal to the value of the carpet plus 20 inches. This can be expressed using the previously determined variable of width:
L = x + 20
Insert this known value into the equation and simplify:
2(x + 20) + 2x = 176
2x + 40 + 2x = 176
40 + 4x = 176
Now solve for "x." Start by subtracting 40 from both sides of the equation:
4x = 136
Divide 4 from both sides:
x = 34
We have now proven that "x" is equal to 34. Because the width was equal to "x" inches, we have also proven that the width is equal to 34 inches. To find the value of the length, insert the known value of "x" into the equation for L and simplify:
L = x + 20
L = 34 + 20
L = 54
We have now proven that the length is equal to 54 inches.
The correct dimensions of the carpet are in bold.
I hope this helps!
Using the normal distribution, it is found that 0.13% of American women CAN NOT use the bicycles designed by this company.
<h3>
What is Normal Probability
Distribution?</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:
Z = -3
Z = -3 has a p-value of 0.0013.
0.0013 = 0.13% of American women CAN NOT use the bicycles designed by this company.
More can be learned about the normal distribution at brainly.com/question/27850813
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Answer:
What John?
Step-by-step explanation: