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BaLLatris [955]
3 years ago
11

Select the correct answer from each drop-down menu. Margie is practicing for an upcoming tennis tournament. Her first serve is g

ood 20 out of 30 times on average. Margie wants to know the estimated probability that her first serve will be good at least four of the next six times she serves. How could she design a simulation for this scenario? The scenario can be simulated by rolling a six-sided die ---- times. The ----- would represent the number of Margie's good first serves. If the ------- appear in a set of outcomes one time each, it would mean that at least four of the next six first serves that Margie makes will be good. 1)2,4,6,10 ------------------------------ 2)numbers 1 to 3 numbers 1 to 4 numbers 4 to 6 numbers 2 to 4. ----------------------------- 3)numbers 0 to 1 numbers 5 to 6 numbers 4 to 6 numbers 1 to 4
Mathematics
1 answer:
gavmur [86]3 years ago
7 0

Answer:

54

Step-by-step explanation:

54 because

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Solve: -7(3+6x)=9(-5x+7)
Ivan

Answer:

x=28

Step-by-step explanation:

-7(3+6x)=9(-5x+7)

-21-42x=-45x+63

-21-42x-(-45x)=63

-21-42x+45x=63

-21+3x=63

3x=63-(-21)

3x=63+21

3x=84

x=84/3

x=28

7 0
3 years ago
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The formula for the volume of a cone is V = jarh, where V is the volume, r is the radius, and h Is the heightWhat is the volume
olga nikolaevna [1]

Given:

The radius, r=4x

The height,

h=21xy^2

To find the volume of the cone:

The volume of the cone formula is,

V=\frac{1}{3}\pi r^2h

Substitute the values of r and h in the above formula we get,

\begin{gathered} V=\frac{1}{3}\pi\times(4x)^2\times21xy^2 \\ =\frac{1}{3}\pi\times16x^2\times21xy^2 \\ =\pi\times16x^2\times7xy^2 \\ =112\pi x^3y^2 \end{gathered}

Hence, the volume of the cone is

V=112\pi x^3y^2

Thus, the correct option is option D.

7 0
1 year ago
An office manager needs to decide between two tables for the conference room. One is rectangular, 5 feet wide by 10 feet long. T
7nadin3 [17]

Answer:

The rectangular 5 x 10 table.

Step-by-step explanation:

To find which table the office manager needs to get so he can sit more people at it is decided by one factor, the perimeter. The rectangular one, which is 5 x 10 the perimeter is (5 x 2) + (10 x 2) = 10 + 20 = 30. The circular one can be calculated by the equation\pi * d where d = 8. Putting /pi x 8 in my calculator and it comes out approximately at 25.132, having a less amount of perimeter space to work with, making the rectangular table the way to go.

6 0
3 years ago
The circumference of a circle is 65?. In terms of pi, what is the area of the circle?
iVinArrow [24]

Answer:

1056.25π square units

Step-by-step explanation:

A few formulas an definitions which will help us:

(1) \pi=\frac{c}{d}, where c is the circumference of a circle and d is its diameter

(2) A=\pi r^2, where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3) d=2r \rightarrow r=\frac{d}{2}.

We can rearrange equation (1) to put d in terms of π and c, giving us (4) d = \frac{c}{\pi}, and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:

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We can now substitute c for our circumference, 65, to get our answer in terms of π:

A=\dfrac{65^2}{4\pi}=\dfrac{4225}{4\pi}=1056.25\pi

8 0
3 years ago
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Mila [183]

Answer:

333 meters per second

Step-by-step explanation:

8 0
3 years ago
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