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Varvara68 [4.7K]

3 years ago

5

What is the probability of flipping a coin 8 times and getting heads 4 times? Round your answer to the nearest tenth of a percen

t.

2 answers:

klasskru [66]3 years ago

5 0

You'll have about a 50% chance of doing that. =)

Lubov Fominskaja [6]3 years ago

3 0

Answer:

27.3%

Step-by-step explanation:

apexs

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3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round

Mariana [72]

The volume of the prop is calculated to be 2,712.96 cubic inches.

<u>Step-by-step explanation:</u>

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying $\frac{1}{3}$ with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone : $V=\pi r^{2} \frac{h}{3}$ = $3.14 \times 9^{2} \times \frac{14}{3}$ = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³).

Here the radius is 9 inches. We take π as 3.14.

The volume of a full sphere = $V=\frac{4}{3} \pi r^{3}$ = $\frac{4}{3} \times 3.14 \times 9^{3}$ = 3,052.08 cubic inches.

The volume of the half-sphere = $\frac{3,052.08}{2}$ = 1,526.04 cubic inches.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.

5 0

3 years ago

Erin and her friends are taking a road trip. She has agreed to drive between hours 3 and 6 of the trip. If h represents the hour

Inessa [10]

Answer:

To the right of

To the left of

Below

(4.5,200)

Step-by-step explanation:

Got it right on Edge.

6 0

3 years ago

The price of a certain computer stock t days after it is issued for sale is p(t)=100+20t−6t^2 dollars. The price of the stock in

Elanso [62]

Answer:

0 < t < $\frac{5}{3}$

After 1.67 days the stocks would be sold out.

Step-by-step explanation:

The price of a certain computer stock after t days is modeled by

p(t) = 100 + 20t - 6t²

Now we will take the derivative of the given function and equate it to zero to find the critical points,

p'(t) = 20 - 12t = 0

t = $\frac{20}{12}$

t = $\frac{5}{3}$ days

Therefore, there are two intervals in which the given function is defined

(0, $\frac{5}{3}$ ) and ( $\frac{5}{3}$ , ∞)

For the interval (0, $\frac{5}{3}$ ),

p'(1) = 20 - 12(1) = 20

For the interval ( $\frac{5}{3}$ , ∞),

p'(2) = 20 - 12(2) = -4

Positive value of p'(t) in the interval (0, $\frac{5}{3}$ ) indicates that the function is increasing.

0 < t < $\frac{5}{3}$

Since at the point t = 1.67 days curve is showing the maximum, so the stocks should be sold after 1.67 days.

7 0

3 years ago

What is the slope of the line represented by the equation y=4/6x-3?

Finger [1]

Your sloe would be 2/3x because that fraction is rise over run so you go up two and over three positive the -3 is your intercept but he fraction simplified is your slope good luck

6 0

3 years ago

A fair coin is tossed and a single number cube is rolled. the probability of rolling a number less than 5 is ________________. t

Alik [6]

You have a 4/ 6 chance
then you have a 2/6 chance if the number is an odd number then reducing you would get
1. 2/3
2. 1/3

7 0

3 years ago