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LuckyWell [14K]
3 years ago
10

There is an ample supply of identical blocks (as shown). Each block is constructed from four 1 × 1 × 1 unit-cubes glued whole-fa

ce to whole-face. What is the greatest number of such blocks that can be packed into a box that is 6 units tall, 7 units wide, and 8 units deep without exceeding the height of the box?

Mathematics
1 answer:
andreev551 [17]3 years ago
4 0

Answer:

336

Step-by-step explanation:

The box has an area of 336. The blocks have an area of 1. Therefore 336 blocks fit into the box.

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Step-by-step explanation:

5 0
3 years ago
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A supervisor records the repair cost for 14 randomly selected refrigerators. A sample mean of $79.20 and standard deviation of $
Nitella [24]

Answer:

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

Critical value at 90% confidence = 1.645

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $79.20

Standard deviation r = $10.41

Number of samples n = 14

Confidence interval = 90%

Using the z table;

The critical value that should be used in constructing the confidence interval.

z(α=0.05) = 1.645

Critical value at 90% confidence z = 1.645

Substituting the values we have;

$79.20+/-1.645($10.42/√14)

$79.20+/-1.645($2.782189528308)

$79.20+/-$4.576701774067

$79.20+/-$4.577

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

5 0
3 years ago
Determine the value of the expression below.<br> 7^2-9<br> ----------<br> 3+2
makkiz [27]

Answer:

1. 7^2-9 = 40

3+2 = 5

40 / 5

8

3 0
3 years ago
Joe Popoff, a collection agent, collected 90% of a debt of $5,600.00 that had been overdue 90 days. This collection rate was 5%
sergey [27]
<span>You are given the debt collected by Joe Popoff with a 90% of a debt of $5,600.00 that had been overdue 90 days. This collection rate was 5% more than the average collection rate for that agent. The agent charged 25% commission. You are asked to find the net proceeds. 

Amount collected
= $5,600 * 0.90
= $5,040

Commision
= $5,040 * 0.25
= $1,260

Net Proceeds
= $5,040 - $1,260
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7 0
3 years ago
Use the distributive property to find the value of x.
noname [10]

Answer:

The value of x = 1.5

Step-by-step explanation:

Given:

-1.2(3 – x) = -1.8

To Find:

x = ?

Solution:

Distributive property:

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

For example A(B + C) = A×B + A×C

Here we have,

-1.2(3 – x) = -1.8

Applying Distributive property we get ,

-1.2×3 -1.2×-x = -1.8

∴ -3.6 +1.2x = -1.8

∴ 1.2x =3.6-1.8\\\\1.2x=1.8\\\\x=\frac{1.8}{1.2} \\\textrm{multiply numerator and denominator by 10}\\x=\frac{1.8\times 10}{1.2\times 10}\\ \\x=\frac{18}{12} \\\\\\x= 1.5

∴ x = 1.5

8 0
3 years ago
Read 2 more answers
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