Answer:
The answer is "1.555"
Step-by-step explanation:
In the given question choices were not defined som the correct answer to this question can be defined as follows:
Given:
The value of z* for 88% confidence interval are:
Answer:
135
Step-by-step explanation:
The supplement of an angle is 80° less than three times the measure of the complement of the angle find the measure of the supplement of the angle
Two Angles are Supplementary when they add up to 180 degrees.
Two Angles are Complementary when they add up to 90 degrees
Let the angle = x
Supplement of the angle = y
The supplement of an angle is 80° less than three times the measure of the complement of the angle find the measure of the supplement of the angle
x - 180 = 3(x - 90)
x - 180 = 3x - 270
Collect like terms
3x - x = 270 - 180
2x = 90
x = 90/2
x = 45
x+ y = 180
45 + y = 180
y = 180 -45
y = 135
We make two sets of equations: x + y = 106 and 0.05x + 0.25y = 13.70. I will solve by substitution. Subtract "x" from both sides of x + y = 106 to convert it to slope intercept form, so y = 106 - x. Substitute y = 106 - x into 0.05x + 0.25y = 13.70, so 0.05x + 0.25(106 - x) = 13.70. Solve for 0.05x + 0.25(106 - x) = 13.70, so 26.5 - 0.2x = 13.7, then x = 64. Substitute 64 into x + y = 106, so 64 + y = 106, then y = 42. There is 64 nickels and 42 quarters.
The expression that represents the volume of the given cone, in cubic units is 2/3 πx³.
<h3>How to calculate the volume of the cone?</h3>
The volume of a cone with radius 'r' and slant height 'h' is
V = 1/3 π r² h
Unit: cubic units
<h3>Calculation:</h3>
The given cone has radius r = x and height h = 2x
Then, the volume of the cone is calculated by
V = 1/3 π r² h
= 1/3 π x² (2x)
= 2/3 π x³ cubic units
Therefore, the volume of the given cone is V = 2/3 π x³ cubic units.
So, option A is correct.
Learn more about the volume of a cone here:
brainly.com/question/13677400
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Disclaimer: The given question on the portal is incomplete. Here is the complete question.
Question: What expression represents the volume of the cone, in cubic units?
A) 2/3 πx³
B) 4/3 πx²
C) 2πx³
D) 4πx³
Answer:
90 percent
Step-by-step explanation:
