Answer:
x=4
Step-by-step explanation:
-5(4-x)=-5x+20
We simplify the equation to the form, which is simple to understand
-5(4-x)=-5x+20
Reorder the terms in parentheses
+(-20+5x)=-5x+20
Remove unnecessary parentheses
-20+5x=-5x+20
We move all terms containing x to the left and all other terms to the right.
+5x+5x=+20+20
We simplify left and right side of the equation.
+10x=+40
We divide both sides of the equation by 10 to get x.
x=4
Answer:
73.1 inches
Step-by-step explanation:
We solve for this using z score formula.
z-score is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation.
x = unknown = randomly selected male's height
μ = 70.3 inches
σ = 4.1 inches
z = is not given but we are given its percentile which is 75
The z score for a 75th percentile = 0.674
Hence,
0.674 = x - 70.3/4.1
Cross Multiply
0.674 × 4.1 = x - 70.3
2.7634 = x - 70.3
x = 70.3 + 2.7634
x = 73.0634 inches
The height of the randomly selected male = 73.0634
Therefore, the height of the randomly selected male to the nearest tenth of an inch is 73.1 inches
Answer:
your final balance in your checking account is 498.78 dollars
Step-by-step explanation:
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Answer:
The angle measure for the bottom two angles in order for the triangle to be classified as an isosceles triangle are 30 degrees each
Explanation:
An isosceles triangle has two of its angles equal.
Given that one angle is 120 degrees, assuming the remaining angles are equal, since the sum of the angles in a triangle is 180 degrees, we have:
120 + x + x = 180
120 + 2x = 180
2x = 180 - 120 = 60
x = 60/2 = 30
Each of the remaining angles measure 30 degrees