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german
3 years ago
5

A box has dimensions of 2.6 cm x 3.5 cm x 5.1 cm. What is the volume of the box in cubic centimeters?

Mathematics
1 answer:
aivan3 [116]3 years ago
3 0

Answer:

46.4 cm3

Step-by-step explanation:

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The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents t
Gekata [30.6K]

Answer:

A. 7 in.

Step-by-step explanation:

We have been given that the perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle.

We know that perimeter of rectangle is 2 times the sum of width and length of rectangle.

\text{Perimeter}=2(l+w)

\text{16 in}=2(l+w)

\frac{\text{16 in}}{2}=\frac{2(l+w)}{2}

\text{8 in}=l+w

To be a rectangle length cannot be 8 as length and width of the rectangle is 8 inches.

Therefore, 7 inches the possible value for the length of the rectangle.

5 0
2 years ago
if in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99%
Dahasolnce [82]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The lifetime (in hours) of a 60-watt light bulb is a random variable that has a Normal distribution with σ = 30 hours. A random sample of 25 bulbs put on test produced a sample mean lifetime of = 1038 hours.

If in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99% confidence, how many randomly selected 60-watt light bulbs should be tested to achieve this result?

Given Information:

standard deviation = σ = 30 hours

confidence level = 99%

Margin of error = 6 hours

Required Information:

sample size = n = ?

Answer:

sample size = n ≈ 165

Step-by-step explanation:

We know that margin of error is given by

Margin of error = z*(σ/√n)

Where z is the corresponding confidence level score, σ is the standard deviation and n is the sample size

√n = z*σ/Margin of error

squaring both sides

n = (z*σ/Margin of error)²

For 99% confidence level the z-score is 2.576

n = (2.576*30/6)²

n = 164.73

since number of bulbs cannot be in fraction so rounding off yields

n ≈ 165

Therefore, a sample size of 165 bulbs is needed to ensure a margin of error not greater than 6 hours.

3 0
3 years ago
Convert 0.00049 to scientific Notation
BartSMP [9]
I think its 4.9 x 10-4
7 0
2 years ago
Read 2 more answers
Multiply each polynomial <br><br> (x + 5)(x+4)<br><br> teach me step by step
lara [203]

Answer: x^2 + 9x + 20

Step-by-step explanation:

Foil Method: (a + b) (c + d) = ac + ad + bc + bd

Lets say:

a = x

b = 5

c = x

d = 4

Plugging in the numbers: xx + 4x + 5x + 5*4

Combine like terms:

xx = x^2

4x + 5x = 9x

5 * 4 = 20

You're then left with: x^2 + 9x + 20

6 0
3 years ago
After taking the first exam, 15 of the students dropped the class. The value 15 describes _____ .
Bess [88]

Answer:

After taking the first exam, 15 of the students dropped the class. The value 15 describes a characteristic of a population - first choice.

3 0
3 years ago
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