Answer:
Step-by-step explanation:
12.
the formula for the volume of a cone is V=1/3hπr²
549.5 = 1/3(21)(3.14)(x)^2
549.5 = 7(3.14)(x)^2
549.5 = 21.98(x)^2
549.5 = 21.98(x)^2
divide by 21.98 on both sides
25 = (x)^2
sqrt 25 = sqrt x^2
5 = x
13.
the formula for the volume of a sphere is V=4/3πr^3
v=4/3(3.14)9^3
v=4/3(3.14)729
v=(4.186)729
v=3052.08
14.
the formula for the volume of a sphere is V=4/3πr^3
523=4/3(3.14)r^3
523=4/3(3.14)r^3
523=(4.186)r^3
divide by 4.186 on both sides
124.92=r^3
cube root on both sides
4.998=r
round
5=r
<em><u>Please mark brainliest this took me a while</u></em>
Answer:
153 times
Step-by-step explanation:
We have to flip the coin in order to obtain a 95.8% confidence interval of width of at most .14
Width = 0.14
ME = 
ME = 
ME = 

use p = 0.5
z at 95.8% is 1.727(using calculator)





So, Option B is true
Hence we have to flip 153 times the coin in order to obtain a 95.8% confidence interval of width of at most .14 for the probability of flipping a head
Answer: Choice B
(-2, 5)
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Explanation:
The original system is

Multiply both sides of the second equation by 3. Doing so leads to this updated system of equations

Now add straight down
The x terms add to -4x+3x = -1x = -x
The y terms add to 3y+(-3y) = 0y = 0
The terms on the right hand sides add to 23+(-21) = 2
We end up with the equation -x = 2 which solves to x = -2
Now use this to find y. You can pick any equation with x,y in it
----------------
-4x+3y = 23
-4(-2)+3y = 23
8+3y = 23
3y = 23-8
3y = 15
y = 15/3
y = 5
Or
x-y = -7
-2-y = -7
-y = -7+2
y = -5
y = 5
Either way, we get the same y value.
So that's why the solution is (x,y) = (-2, 5)
The quotient means divide.....the difference means subtract
the quotient of 5 and the difference of a number and 3..
5 / (x - 3) <== ur expression
the product means multiply....decreased means subtract
the product of a number and 20 decreased by 11..
20x - 11 <== ur expression
the difference means subtract
the difference of 30 and a number, multiplied by 2
2(30 - x) <== ur expression