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3 years ago

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.

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

8 0

Answer:

the formula represent the correct way is π(4)^2 (5)

Step-by-step explanation:

The formula that represent the correct way to calculate is given below:

As we know that

Volume = πr^2 h

where

r denotes the radius i.e. 4 inches

And, h denotes the height i.e. 5 inches

Now placed these values to the above formula

So,

= π(4)^2 × 5

= 80π in^3

Hence, the formula represent the correct way is π(4)^2 (5)

aleksandrvk [35]3 years ago

5 0

Answer: the answer is D.

Step-by-step explanation:

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Write an equation that gives the proportional relationship of the graph.

melomori [17]

<h3>Answer:</h3>

C) y = 6x

<h3>Step-by-step explanation:</h3>

Pick any point. It is often convenient to use x = 1 (no marked point) or x = 10 (where y = 60).

Use these values to see which equation agrees.

A: 60 ≠ (1/6)·10

B: 60 ≠ 2·20

C: 60 = 6·10

D: 60 ≠ 12·10

____

Or, you can solve ...

... y = kx

for k, using the point values you found on the graph.

... 60 = k·10

... 60/10 = k = 6 . . . . . divide by 10

This makes the equation be ...

... y = 6x . . . . . . matches selection C

4 0

3 years ago

A researcher is 95% confident that the interval from 5.2 hours to 7.8 hours captures u = the true mean amount of time

igor_vitrenko [27]

<h3>Answer: Choice B</h3>

No, this is not a plausible value for the population mean, because 5 is not within the 95% confidence interval.

====================================================

Explanation:

The greek letter mu is the population mean. It has the symbol $\mu$ which looks like the letter 'u' but with a tail at the front or left side.

The question is asking if mu = 5 is plausible if the researcher found the 95% confidence interval to be 5.2 < mu < 7.8

We see that 5 is <u>not</u> in that interval. It's a bit to the left of 5.2

Since mu = 5 is not in the interval, it's not a plausible value for the population mean.

Have we ruled it out with 100% confidence? No. Such a thing is not possible. There's always room for (slight) error. The researcher would need to do a census to be fully confident; however, such practices are very time consuming and expensive. This is the main reason why statistics is important to try to estimate the population with a sample.

8 0

3 years ago

If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3

horrorfan [7]

Answer: The correct option is (B) 24 : 25.

Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

$\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, the ratio of the area of R to the area of S is

$\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.$

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0

3 years ago

A triangle has legs that are 7in and 24in long. How long is the hypothenuse?

SashulF [63]

Answer: 25 in

Step-by-step explanation:

<u>Due to the use of the term "hypotenuse" I will assume the triangle is a right triangle.</u>

<u></u>

According to pythagorean theorem, 7²+24²=(hypotenuse)²

49+24²= (hypotenuse)²

49+576= (hypotenuse)²

625 = (hypotenuse)²

25 = hypotenuse

Hope it helps <3 :D

6 0

3 years ago

PLEASE HELP! (1/4) - 50 POINTS -

Annette [7]

Answer:

D) 0.35

Step-by-step explanation:

The table gives the area between z=0 and the given magnitude of z. That is, the area between z = 0 and z = -0.6 is 0.23, as found in the 0.6 column of the table. Similarly, the area between z = 0 and z = 0.3 is 0.12, as found in the 0.3 column of the table.

The area between z = -0.6 and z = +0.3 is the sum of these areas:

p(-.6<z<.3) = 0.23 +0.12 = 0.35

5 0

3 years ago