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Sliva [168]
3 years ago
15

What are the similarities and differences between a cylinder and a prism

Mathematics
2 answers:
Natalija [7]3 years ago
8 0
Similarities: 
They are 3d
They have shapes on them
Differences
Prisms have more than 2 shapes on them
There are different kinds

Evgesh-ka [11]3 years ago
6 0
  prisms have no round sides or vertices, but a cylinder obviously has a circle base. Also for a prism, the cross-section is a polygon, while for a cylinder it is a circle.
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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305

The degrees of freedom for this sample size are:

df=n-1=50-1=49

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.01 \cdot 0.305=0.61

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95

The 95% confidence interval for the mean is (5.73, 6.95).

4 0
3 years ago
2. Determine the amount of an investment if $5,000 is
Nataliya [291]

Step-by-step explanation:

A=P(1+i)^n

=5,000(1+5%/4)^10×4

=$8,218.10

8 0
2 years ago
What is the solution to the system of equations below? y=-3x-9 and y=1/3x-39
Westkost [7]

Answer:

ddxsxssxsxsszxzxsxsxsxs

Step-by-step explanation:

d

8 0
3 years ago
4. What is the percent of 88 is 33?
IRISSAK [1]
33 = 88x
x = 33/88
x = .375 = 37.5 percent
6 0
2 years ago
three times a number is subtracted from another number and the difference is 3. The sum of the two numbers is 31. What is the sm
Aleksandr-060686 [28]

ANSWER

The smaller number is 7.

EXPLANATION

Let the numbers be x and y.

Then we have;

y-3x=3... eqn (1)

If the sum of the numbers is 3 then,

y+x=31... eqn (2)

Eqn(2) - Eqn (1)

x--3x=31-3

4x = 28

Divide both sides by 4,

x = 7

We put x=7 into the second equation,

y+7=31

y=31-7

y=24

The smaller of the two numbers is 7.

6 0
3 years ago
Read 2 more answers
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