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4 years ago

Please Help!!!!!!!! Only Circled Questions!!!!!!!!!!! Show all Steps

Mathematics

1 answer:

Fudgin [204]4 years ago

8 0

Hello!

I'll solve the first two questions for you and show you how to do them step by step!

4.

We must use a certain formula to find the volume of a cylinder. The formula is:

V = pi * r^2 * h

We already have that information!

Pi = approximately 3.14

Radius = 7.5 in

Height = 3.6 in

Substitute:

(Make sure ro solve it step by step, rather than do it all at once)

V = 3.14 * 7.5^2 * 3.6

V = 176.625 × 3.6

V = 635.85

Rounded to the nearest cubic unit, the volume of this cylinder is 636 inches cubed.

**Don't forget to write a small 3 above inches to indicate that it is cubed!

5.

Aha! This time they haven't given you the radius, but the diameter.

Since the radius is half of the diameter, we must divide the diameter by 2 to find it.

r = d ÷ 2

r = 28 ÷ 2

r = 14 cm

Like the previous question, we have enough information to solve this! We'll use the same formula to calculate the volume of this cylinder.

V = pi * r^2 * h

Pi = Approximately 3.14

Radius = 14 cm

Height = 5 cm

Substitute:

V = 3.14 * 14^2 * 5

V = 615.44 * 5

V = 3,077.2 cm cubed

Rounded to the nearest cubic unit, the volume of this cylinder would be 3,077 centimetres cubed.

REMINDERS:

Use the SAME formula for all of the other questions regarding volume of a cylinder. The formula fof volume is:

V = pi * r^2 * h

Make sure you write the small 3 above it!

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8. A well-balanced stock market portfolio will often experience an exponential growth. A

serious [3.7K]

Answer:

D) $896,053

Step-by-step explanation:

6 0

4 years ago

What is all of this Identify ALL sets of parallel and perpendicular lines in this image.

Tamiku [17]

Parallel lines are lines that run side-by-side without touching or intersecting!

Perpendicular lines intersect/cross and can also make 90° angles (those little green boxes in the picture) in their corners!

Sets of parallel lines:

CD and EF

Sets of perpendicular lines:

CD and AB
EF and AB

5 0

3 years ago

At a new exhibit in the museum of science, people are asked to choose between 90 or 120 random draws from a machine. The machine

Serga [27]

Answer:

There is a probability of P₉₀=0.09853 of winning the prize with a 90-balls sample.

There is a probability of P₁₂₀=0.0853 of winning the prize with a 120-balls sample.

Step-by-step explanation:

In this problem, the balls that are removed are then replaced in the total, so the probability of obtaining a green ball is constant and is equal to:

$P_g=\frac{93}{93+65}= 0.5886$

This type of sampling should be analyzed with the binomial distribution, but given the sample size, it is convenient to use the approximation to a normal distribution.

The parameters of the normal distribution are:

$\mu=P_g*n=0.5886*90=52.9746\\\\\sigma=\sqrt{np(1-p)}=\sqrt{90*0.5886*(1-0.5886)} =4.6684$

To win the prize it is needed at least 65% of green balls in the sample, which means there have to be at least 59 green balls in the sample:

$0.65*90=58.5$

To calculate the probability of getting 59 or more green balls, we have to calculate the z-value

$z=\frac{x-\mu}{\sigma}=\frac{59-52.9746}{4.6684}= 1.29$

Then, the probability can be look up with the z-value in a normal distribution table:

$P(X \geq 59)=P(z\geq 1.29)=0.09853$

There is a probability of P=0.09853 of winning the prize with a 90-balls sample.

When the sample is of 120 balls, we have to recalculate the parameters.

Normal distribution

$\mu=P_g*n=0.5886*120=70.6320\\\\\sigma=\sqrt{np(1-p)}=\sqrt{120*0.5886*(1-0.5886)} =5.3905$

To win the prize it is needed at least 65% of green balls in the sample, which means there have to be at least 78 green balls in the sample:

$0.65*120=78$

To calculate the probability of getting 78 or more green balls, we have to calculate the z-value

$z=\frac{x-\mu}{\sigma}=\frac{78-70.6320}{5.3905}=1.37$

Then, the probability can be look up with the z-value in a normal distribution table:

$P(X \geq 78 )=P(z\geq 1.37)=0.0853$

There is a probability of P=0.0853 of winning the prize with a 120-balls sample.

8 0

3 years ago

Which of the following is the standard form of 36 / 24

RSB [31]

Answer:

15 x 10^-1

Step-by-step explanation:

36÷24=1.5

In this case I'm considering 15 as the base of my standard form.

To make 15 a 1.5, you'll have to move from right to left one unit and on the number line moving from the right to left gives you a negative number of units moved

8 0

3 years ago

Starting at 1:00 p.M. The temperature changes negative 4 degrees per hour. How will it take to reach negative 1 degree? At one t

lbvjy [14]

I think 130 degrees

5 0

4 years ago