Answer:
x=17
The angles are Vertical.
Step-by-step explanation:
6x17 equals 102. Then subtract 12 from 102 to get 90 degrees.
6(17)-12=90 degrees
2x+5y=21, x+y=3
y=3-x
2x+5y=21
2x+5(3-x) =21
2x+15-5x=21
2x-5x+15=21
-3x+15=21
-3x=21-15
-x=6/3
-x=2
x=-2
You apply the rule to put the exponent in front, and lower it by one. But since this is a nested expression, you apply it twice:
4*(5x^3-4)^3 * 3*5x^2 =
60x^2 (5x^3-4)^3
Answer:
The 90% confidence interval of the population proportion is (0.43, 0.56).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

The information provided is:
<em>X</em> = 74
<em>n</em> = 150
Confidence level = 90%
Compute the value of sample proportion as follows:

Compute the critical value of <em>z</em> for 90% confidence level as follows:

*Use a <em>z</em>-table.
Compute the 90% confidence interval of the population proportion as follows:


Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).
Hello!
The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³
A 12 cm cone with a dome on top of it that has an 8 cm diameter
Data: (Cone)
h (height) = 12 cm
r (radius) = 4 cm (The diameter is 8 being twice the radius)
Adopting: 
V (volume) = ?
Solving: (Cone volume)




Note: Now, let's find the volume of a hemisphere.
Data: (hemisphere volume)
V (volume) = ?
r (radius) = 4 cm
Adopting: 
If: We know that the volume of a sphere is
, but we have a hemisphere, so the formula will be half the volume of the hemisphere 
Formula: (Volume of the hemisphere)

Solving:





Now, to find the total volume of the figure, add the values: (cone volume + hemisphere volume)
Volume of the figure = cone volume + hemisphere volume
Volume of the figure = 200.96 cm³ + 133.97 cm³

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I Hope this helps, greetings ... Dexteright02! =)