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likoan [24]
3 years ago
5

Can someone explain the answer to this problem? Answer: 6 in.

Mathematics
1 answer:
lana [24]3 years ago
7 0
24 cubes, each 8 cubic inches, meaning each 2 inches on a side.  So the dimensions must be even to fit cubes exactly.  Our box with 9 inches is really only effectively 8 inches because that extra inch doesn't help us fit another cube.  

So our total volume:

24 \times 8 = (8)(4)h

h=6 inches minimum


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In a class of 28 students, 11 have a brother and 9 have a sister. There are 2 students
Westkost [7]

Answer:

\displaystyle P(A\mid B)=\frac{2}{11}

Step-by-step explanation:

<u>Conditional Probability</u>

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event B has occurred, then the probability that event A occurs is given by:

{\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}}

Where P(A\cap B) is the probability that both events occur and P(B) is the probability that B occurs.

Let's define events A and B for the question. There are 11 students that have a brother and 9 that have a sister. Two of those students have a brother and a sister.

We are given the fact that the selected student has a brother: this is the event that has already occurred, thus:

B = A student has a brother

A = A student has a sister

The probability that a student has a brother is:

\displaystyle P(B)=\frac{11}{28}

The probability that the student has a brother and a sister is:

\displaystyle P(A\cap B)=\frac{2}{28}

Thus, the conditional probability is:

{\displaystyle P(A\mid B)={\frac {\frac{2}{28}}{\frac{11}{28}}}}

Simplifying:

\mathbf{\displaystyle P(A\mid B)=\frac{2}{11}}

4 0
3 years ago
Solve 4x + 11 = k for x.
steposvetlana [31]

Answer:

Step-by-step explanation:

Simplifying

4x + 11 = k

Reorder the terms:

11 + 4x = k

Solving

11 + 4x = k

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.

11 + -11 + 4x = -11 + k

Combine like terms: 11 + -11 = 0

0 + 4x = -11 + k

4x = -11 + k

Divide each side by '4'.

x = -2.75 + 0.25k

Simplifying

x = -2.75 + 0.25k

4 0
3 years ago
Please help I need this done quick
koban [17]

Step-by-step explanation:

f(x) = y ( true statement)

y = -1/5x + 3

To find the inverse of any given function we switch the X and Y

X = -1/5y + 3

isolate y so:

x-3 = -1/5y

Multiply both sides by -5

-5(x-3) = y

-5x + 15 = y

4 0
4 years ago
If I have an 18% employee discount on a $69.99 item what is the price
Valentin [98]
The price would be $12.60 because 69.99 x 0.18 = 12.60
8 0
4 years ago
Read 2 more answers
Solve:<br> (1 1/3) 24 = 32<br> b: 875 + 61/2=<br> 1/2x + 31/2y=<br> 91/5x +91/5= <br> Please help me
In-s [12.5K]

Answer:

875 + 61/2= 1811/2

1/2x + 31/2y= y + 31x/2xy

91/5x +91/5= 91 + 91x/5

Step-by-step explanation:

I did not understood the question but I hope thet was the Answer

3 0
3 years ago
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