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kiruha [24]
3 years ago
7

Heres another questions, hope someone can help me.

Mathematics
1 answer:
sleet_krkn [62]3 years ago
3 0
2x18=36cm
you do 2cm times 18cm to get to your final answer

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Gifts are packaged in cylinders. Each cylinder is 12 cm high with a diameter of 8 cm. Calculate the volume of each cylinder. Use
andreyandreev [35.5K]

Answer:

576cm³

Step-by-step explanation:

The formula for the volumen of a cylinder is given by V = π*r²*h

We are told the diameter is 8cm (r=4cm) and the height is 12cm.

Also, to use 3 as π.

Replacing into the formula, we have:

V = 3*4²*12 = 3*16cm*12cm = 576cm³

6 0
3 years ago
Read 2 more answers
The sum of three consecutive integers is −378−378. find the three integers.
Bad White [126]
-378-378?? Ummm. I will assume you meant -378. Since the approach will be same. It shouldn't be a problem. 

1st integer: x-1
2nd integer: x
3rd integer: x+1 
Add them up: 3x=-378
x= -126
Answer: 
-127, -126, -125 

Rate High and send a personal message if you want detailed answers for free. LOL
5 0
3 years ago
Choose the correct answer below. A. The mean MPG of this type of vehicle for 95​% of all samples of the same size is contained i
garik1379 [7]

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is

The table below contains the overall miles per gallon (MPG) of a type of vehicle. Complete parts a and b below.

28, 34, 28, 20, 21, 31, 28, 24, 34, 35 , 36, 26, 25, 20

a. Construct a 95% confidence interval estimate for the population mean MPG for this type of vehicle, assuming a normal distribution.

b. Choose the correct answer below.

A. We have 95% confidence that the mean MPG of this type of vehicle for the sample is contained in the interval.

B. We have 95 ℅ confidence that the population mean MPG of this type of vehicle is contained in the interval. This is the correct answer.

C.95 % of the sample data fall between the limits of the confidence interval.Your answer is not correct.

D. The mean MPG of this type of vehicle for 95?% of all samples of the same size is contained in the interval.

Solution:

a) Mean = (28 + 34 + 28 + 20 + 21 + 31 + 28 + 24 + 34 + 35 + 36 + 26 + 25 + 20)/14 = 27.86

Standard deviation = √(summation(x - mean)²/n

n = 14

Summation(x - mean)² = (28 - 27.86)^2 + (34 - 27.86)^2 + (28 - 27.86)^2 + (20 - 27.86)^2 + (21 - 27.86)^2+ (31 - 27.86)^2 + (28 - 27.86)^2 + (24 - 27.86)^2 + (34 - 27.86)^2 + (35 - 27.86)^2 + (36 - 27.86)^2 + (26 - 27.86)^2 + (25 - 27.86)^2 + (20 - 27.86)^2 = 399.7144

Standard deviation = √(399.7144/14) = 5.34

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation = 5.34

n = number of samples = 14

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 14 - 1 = 13

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.16

Margin of error = 2.16 × 5.34/√14

= 3.08

The confidence interval is 27.86 ± 3.08

b) B. We have 95 ℅ confidence that the population mean MPG of this type of vehicle is contained in the interval.

7 0
3 years ago
What is the distance between points (2,7) and (9,9)?
KiRa [710]

Answer:

7,2

Step-by-step explanation:

   9,9

-  2,7

_______

    7,2

3 0
2 years ago
Read 2 more answers
George decided to make his picture frame 3 feet long and 5/4 feet wide. Greta decided to make a picture frame that was 9 feet lo
gayaneshka [121]
Answer:
I’m guessing it’ll be 6 feet

Step-By-Step Explanation
The 5/4 will even out so I did 9-3 to get 6
6 0
2 years ago
Read 2 more answers
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