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3 years ago

5

A birthday cake is being made using a cylindrical baking pan. The radius of the pan is 4 inches, and the height is 5 inches whic

h formula represents the correct way to calculate the volume of the cake

2 answers:

Aleonysh [2.5K]3 years ago

6 0

Answer:

This formula:

Cylinder Volume = π • r² • height

Volume = PI * 4 ^2 * 5

Volume = PI * 16 * 5

Volume = 251.327412 cubic inches

Step-by-step explanation:

beks73 [17]3 years ago

6 0

Answer:

This formula:

Cylinder Volume = π • r² • height

Volume = PI * 4 ^2 * 5

Volume = PI * 16 * 5

Volume = 251.327412 cubic inches

Step-by-step explanation:

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If marching bands vary from 21 to 49 player, which numbers of players can be arranged in the greatest number of rectangles?

ANEK [815]

Hmm. a rectangle?ok then, least number of rectangles needed-6.
. . .
. . . ( rectangle)
so, 6 x 8=48(greatest multiple of 6 from between 21 and 49)
48 players are most, so 8 rectangles

5 0

3 years ago

A family is thinking about buying a new house

Rom4ik [11]

Answer:

a.) 1908.30

b.) 96373.15

c.)302491.15

unrounded answers below

Step-by-step explanation:

The amount that is to be loaned out is 380000-110000=270000

The effective montly rate is .07/12=.005833333

a.)

$270000=x(\frac{1-(1+.005833333)^{-(25*12)}}{.005833333})=1908.303833$

b.)

use what is called the prospective method (the outstanding loan balance at time n is equal to the present value of the remaining payments)

$1908.303833(\frac{1-(1+.005833333)^{-(25*12-20*12)}}{.005833333})=96373.14775$

c.)

total paid= 1908.303833*12*25=572491.1499

amount of loan: 270000

Total interest paid:

572491.1499-270000=302491.1499

3 0

3 years ago

A sample of 40 observations is selected from one population with a population standard deviation of 5. The sample mean is 102. A

marin [14]

1) This is a Two tailed Test.

2) Decision rule is; If the p-value is greater than 4% fail to reject H₀.

3) P-value = 0.00968764 and so we reject H₀

<h3>How to state the decision rule in hypothesis testing?</h3>

We are given the hypothesis as;

Null Hypothesis; H₀: m₁ = m₂

Alternative Hypothesis; H₁: m₁ ≠ m₂

1) Since the alternative hypothesis has "not equal to sign", then it is a two tailed test.

2) Since we are told to use significance level as 0.04, then we can say that the decision rule is;

If the p-value is greater than 4% fail to reject H₀.

3) Using a 2-Sample Z-Test online TI calculator gives the test statistic as;

z = 2.5868

4) From z-score calculator, p-value equals 0.00968764. This is less than 0.04 and as such the decision regarding H₀ is to reject H₀.

5) P-value = 0.00968764

Read more about decision rule in Hypothesis Testing at; brainly.com/question/17192140

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3 0

2 years ago

The population of a town increased from 5,400 to 6,000 people. What was the percent of the increase?

iren [92.7K]

Since, the population of a town increased from 5,400 to 6,000 people. We have to calculate the percent of increase.

Firstly, we will find the difference of 6000 and 5400,

6000-5400 = 600

Secondly, we will divide 600 by 5400,

So, $\frac{600}{5400}$ = 0.1111

Thirdly, we will multiply 0.1111 by 100%

= 11.11 %

Therefore, there is 11.11% increase in the population of a town.

7 0

3 years ago

Read 2 more answers

Question 2 Find the slope between the two points: (3, 20) and (5.8)

GuDViN [60]

Answer:

The slope between the two points: (3, 20) and (5, 8) is -6.

Step-by-step explanation:

Put the points in the slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

Substitute the values.

m = (8 - 20)/(5 - 3)

Subtract.

m = (-12)/2

Divide.

m = -6

8 0

2 years ago

Read 2 more answers