Ask question

Ask question

All categories

2 years ago

13

Marjorie needs to calculate how much water a cylindrical tank will hold. The tank is 9 feet high and has a diameter of 5 feet. H

er work is shown below. Step 1: Step 2: Step 3: Step 4: cubic feet What error did Marjorie make when calculating the volume of the tank?

2 answers:

aniked [119]2 years ago

8 0

Answer:

The volume of the cylindrical tank is 176.625 cubic feet.

Step-by-step explanation:

Given : The tank is 9 feet high and has a diameter of 5 feet.

To find : Marjorie needs to calculate how much water a cylindrical tank will hold ?

Solution :

The volume of a cylinder is $V=\pi r^2 h$

The diameter is d=5 feet

The radius is $r=\frac{d}{2}$

$r=\frac{5}{2}=2.5$ feet.

The height is h=9 feet.

Substitute the value in the formula,

$V=3.14\times (2.5)^2\times 9$

$V=3.14\times 6.25\times 9$

$V=176.625$

The volume of the cylindrical tank is 176.625 cubic feet.

xenn [34]2 years ago

3 0

Answer:

Option B, "In step 2, she calculated 2.5 squared incorrectly."

Step-by-step explanation:

She got the formula correct, but when she multiplied 2.5 squared, she wrote 5, but the correct answer is 6.25. Thus, the correct answer is option B

Hope this helped :)

You might be interested in

Someone help me with this question!!

Zinaida [17]

Answer:

k = 6.5

Step-by-step explanation:

y = 2x + c is given. Thus, we know immediately that the slope of this line is m = 2. If (k, 10) is a point on this line, then the following must be true:

10 = 2(k) + c, and

-3 + 2(0) + c

or

10 = 2k + c

c = -3

Thus, 10 = 2k + -3 becomes 13 = 2k, so that k = 6.5

3 0

3 years ago

The probability that Ariana is on time for a given class is 69 percent. If there are 39 classes during the semester, what is the

salantis [7]

Answer:

The best estimate of the number of times out of 39 that Ariana is on time to class is 27.

Step-by-step explanation:

For each class, there are only two possible outcomes. Either Ariana is on time, or she is not. The probability of Ariana being on time for a class is independent of other classes. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The probability that Ariana is on time for a given class is 69 percent.

This means that $p = 0.69$

If there are 39 classes during the semester, what is the best estimate of the number of times out of 39 that Ariana is on time to class

This is E(X) when n = 39. So

$E(X) = np = 39*0.69 = 26.91$

Rounding

The best estimate of the number of times out of 39 that Ariana is on time to class is 27.

8 0

3 years ago

Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount

Nikolay [14]

Constant rates are used to illustrate linear functions.

The average rate of change is $9.0 per hour
The function that models the table is: $\mathbf{f(x) = 9x }$
The amount earned in 7.5 hours is $67.5

<u>(a) The average rate of change</u>

This is calculated using:

$\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}$

So, we have:

$\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}$

$\mathbf{Rate = \frac{9}{1.0}}$

$\mathbf{Rate = 9.0}$

Hence, the average rate of change is $9.0 per hour

<u>(b) A function that models the table of values</u>

Let x represent hours, and y represent the earnings.

So, we have:

$\mathbf{y =m (x - x_1) + y_1}$

Where:

m =Rate = 9.0

So, we have:

$\mathbf{y = 9(x - 2.5) + 22.5}$

Expand

$\mathbf{y = 9x - 22.5 + 22.5}$

$\mathbf{y = 9x }$

Represent as a function

$\mathbf{f(x) = 9x }$

Hence, the function that models the table is: $\mathbf{f(x) = 9x }$

<u>(c) Amount earned for 7.5 hours</u>

This means that x = 7.5

So, we have:

$\mathbf{f(7.5) = 9 \times 7.5 }$

$\mathbf{f(7.5) = 67.5}$

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

brainly.com/question/23184115

4 0

2 years ago

Find the determinant of the nxn matrix A with 5's on the diagonal, l's above the diagonal, and O's below the diagonal. det (A) =

Vilka [71]

Answer:

n times 5

Step-by-step explanation:

A matrix Anxn of this way is called an upper triangular matrix. It can be proved that the determinant of this kind of matrix is

$a_{11}+a_{22}+...+a_{nn}$

In this case, it would be 5+5+...+5 (n times) = n times 5

We are going to develop each determinant by the first column taking as pivot points the elements of the diagonal

$det\left[\begin{array}{cccc}5&a_{12}&a_{13}...&a_{1n}\\0&5&a_{23}...&a_{2n}\\...&...&...&...\\0&0&0&5\end{array}\right] =5+det\left[\begin{array}{ccc}5&a_{23}...&a_{2n}\\0&5&a_{3n}\\...&...&...\\0&0&5\end{array}\right]=5+5+...+det\left[\begin{array}{cc}5&a_{n-1,n}\\0&5\end{array}\right]=5+5+...+5+5\;(n\;times)$

6 0

3 years ago

Q.1. What is the sum of 130+125+191?<br><br> A. 335<br><br> B. 456<br><br> C. 446<br><br> D. 426

Leno4ka [110]

Answer:

Step-by-step explanation:

130 + 125 + 191 = 446, so choice (C)

Hope that helps!

6 0

2 years ago

Read 2 more answers