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bezimeni [28]
3 years ago
12

What is the approximate volume of a cylinder with a diameter of 28 ft and height of 20 ft? Use 3.14 to approximate π , round to

the nearest tenth.
Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0
The answer is V= 12315.04

Volume of cylinder is V=πr2h

Radius is 14, 28/2 =14

Plug into the equation,

π(14)^2 (20)

14^2 = 196(20) = 3920

3920*3.14(pi) = 12315.04
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X=y<br> x+2y =3<br> Solve using substitution
Zielflug [23.3K]

Answer:

Therefore the Final Solution is

x = 1 and y = 1

Step-by-step explanation:

Given:

x=y                ...............Equation ( 1 )

x+2y=3         ................Equation ( 2 )

To Find:

x = ?

y = ?

Solution:

Equating Equation  ( 1 ) in Equation ( 2 ) we get

y+2y=3\\\\3y=3\\\\y=\frac{3}{3} \\\\\therefore y =1

Now Substituting y = 1 in Equation ( 1 ) we get

x =1\\\\\therefore x=1

Therefore the Final Solution is

x = 1 and y = 1

3 0
3 years ago
PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
ohaa [14]

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

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

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

7 0
3 years ago
How to factor 4x^2+24x+27​
fomenos

Answer:

(2 x + 3) (2 x + 9)

Step-by-step explanation:

Factor the following:

4 x^2 + 24 x + 27

Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):

9 (2 x + 3) + 2 x (2 x + 3)

Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):

Answer: (2 x + 3) (2 x + 9)

3 0
3 years ago
Pls help me tysm if you can!!
Mice21 [21]
The answer is 0.687.
8 0
3 years ago
Read 2 more answers
The Rangers played 40 games. They won 18 more games then they lost. How many games did they win?
maxonik [38]

9514 1404 393

Answer:

  29

Step-by-step explanation:

Let w represent the number of wins. Then the number of losses is w-18. The total number of games played is ...

  wins + losses = 40

  w + (w-18) = 40

  2w = 58

  w = 29

The Rangers won 29 games.

4 0
3 years ago
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