Answer:
Width = 18, height = 3
Or
Width = 6, height = 9
Step-by-step explanation:
Complete question
( A piece of sheet metal 24 inches wide is bent to form a gutter as shown in the picture below, if the cross sectional area is 54 square inches, find the depth of the gutter).
X = width, Y = height
X - 2y = 24........ equation i
X = 24 - 2y.......... equation ii
Area = xy
54 = xy........ equation iii
Put equation ii into equation iii
54 = (24 - 2y) * y
54 = 24y - 2y²
2y² - 24y + 54 = 0........ equation iv
Solving equation iv using quadratic methods,
Factors = (y-3), (y-9)
(Y-3)(y-9) = 0
y = 3 or y = 9
Substitute y = 3 or y = 9 into equation ii
X = 24 -2(3) = 18 or x = 24 - 2(9) = 6
If Width = 18, height = 3
Or
Width = 6, height = 9
At a z-score of 1.80, the percentage of the scores that are better than yours is equal to 3.59%.
<h3>What is a z-score?</h3>
In Mathematics, a z-score is sometimes referred to as a z-value or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
<h3>How to determine the percentage?</h3>
Mathematically, the z-score of a given sample score in a normal distribution can be calculated by using this formula:
Z-score = (x - μ)/σ
Where:
- x represents the sample score.
- σ represents the standard deviation.
- μ represents the mean score.
Since a score of 85 on a test corresponds to a z-score of 1.80, the percentage of the scores that are better than yours is given by:
P(x > 85) = P(z > 1.80)
P(z > 1.80) = 0.0359
P(z > 1.80) = 3.59%.
Read more on z-scores here: brainly.com/question/26714379
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Answer: 31.7
Step-by-step explanation:
Do 16 plus 15.7 is 31.7 you added wrong.
Answer:
Step-by-step explanation:
<h2>This is an independent event probability problem , that is the first event does not affect the occurrence of the second event.</h2>
The sample space of the first die is S1= {1,2,3,4,5,6}
The sample space of the second die is S2= {1,2,3,4,5,6}
1. the probability that the first number cube shows a Four pr (4)= 
2. the probability that the second number cube shows an odd number=
odd numbers in the sample space are 1,3,5= 3
pr(odd) 
For the two event to happen the probability is = 
