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3 years ago

Find the surface area and volume of a cube with sides of 5.5 cm each.

Mathematics

1 answer:

viktelen [127]3 years ago

3 0

Surface area: 181.5
Volume: 166.4

Solution for surface area: 5.5 x 5.5 x 6
Solution for volume: 5.5 x 5.5 x 5.5

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Oxana [17]

Answer:

n=-6

Step-by-step explanation:

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3 years ago

Determine the perimeter

nordsb [41]

Answer:

139

Step-by-step explanation:

14+14+28+33+33+17 = 139

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3 years ago

Read 2 more answers

X+3.6= −4.75 Solve for x Tell what you did to find x

Drupady [299]

Answer:

x=3.85

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Step-by-step explanation:

Question:

x+3.6= −4.75

Step 1:

Subtract 3.6 from both sides of the equation

x+3.6-3.6=-4.75-3.6

Step 2:

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3 years ago

. An individual wishes to invest $5000 over the next year in two types of investment: Investment A yields 5%, and investment B y

tresset_1 [31]

Answer:

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

Step-by-step explanation:

Let

x -----> the amount invested at Investment A yields 5%

y -----> the amount invested at Investment B yields 8%

we know that

$x+y=5,000$

$x=5,000-y$ -----> equation A

$x \geq 0.25(5,000)$

$x \geq \$1,250$ -----> inequality B

$y \leq 0.50(5,000)$

$y \leq \$2,250$ -----> inequality C

$x \geq \frac{1}{2}y$ -----> inequality D

Substitute equation A in the inequality D and solve for y

$5,000-y \geq \frac{1}{2}y$

Multiply by 2 both sides

$10,000-2y \geq y$

Multiply by -1 both sides

$-10,000+2y \leq -y$

Adds y both sides

$-10,000+2y+y \leq 0$

$-10,000+3y \leq 0$

adds 10,000 both sides

$3y \leq 10,000$

Divide by 3 both sides

$y \leq \$3,333.33$ -----> inequality E

therefore

Solve for y

we have

$y \leq \$2,250$ -----> inequality C

$y \leq \$3,333.33$ -----> inequality E

The solution of inequality C and inequality E is

$y \leq \$2,250$

For y=2,250

x=5,000-y ----> x=5,000-2,250=2,750

$x \geq \$2,750$ -----> inequality F

Solve for x

we have

$x \geq \$1,250$ -----> inequality B

$x \geq \$2,750$ -----> inequality F

The solution of inequality B and inequality F is

$x \geq \$2,750$

therefore

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

7 0

3 years ago

Suppose Ted, a sociologist, is interested in comparing the amount of time that husbands and wives in the United States each spen

lidiya [134]

Answer:

1. A matched-pairs t-test is valid, despite the sample being a small representation of the population, because the sample is a simple random sample and has a distribution with a single peak.

Step-by-step explanation:

The matched-pairs test is valid, for the reasons given in choice 1. Here's why:

We do have matched pairs, not a 2-sample t-test, because each two are paired by the house they live in. Husband and wife live together: it's safe to pair them. (This rules out option 5.)

Check conditions: The sample is large enough (fulfilling the sample size condition). The sample data is fairly normal, although we don't know the population data, and the sample size is over 40, so we consider it a fairly large sample (fulfilling the nearly normal condition). We don't know about outliers, but we'll have to assume Ted doesn't have any, because they aren't mentioned.

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3 years ago