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tigry1 [53]
3 years ago
9

you have $8.00 to make copies. each copy costs $0.40. write and solve an inequality that represents the number of copies you can

make?
Mathematics
1 answer:
Murrr4er [49]3 years ago
7 0

Answer:

0.40x\leq \\8

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The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident th
Aleks04 [339]

Answer:

The minimum sample size that can be taken is of 14 dogs.

Step-by-step explanation:

The formula for calculating the minimum sample size to estimate a population mean is given by:

n=\frac{z^{2}\sigma^{2}}{e^{2}}

The <u>first step</u> is obtaining the values we're going to use to replace in the formula.

Since we want to be 95% confident, 1-\alpha=0.95 \Rightarrow \alpha=0.05.

Therefore we look for the critical value z_{\alpha/2}=1.96.

Then we calculate the variance:

\sigma = 3.7 \Rightarrow \sigma^{2}=13.69

And we have that:

e=2 \Rightarrow e^{2}=4

<u>Now</u> we replace in the formula with the values we've just obtained:

n=\frac{1.96^{2}*13.69}{4}=13.1479\approx 14

Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.

6 0
3 years ago
1. Kate is 3 years older than John and 5 years younger than Carri. If John is 12 years old, how old is
Doss [256]

Answer:

20

Step-by-step explanation:

12 + 3 = 15

15+5=20

3 0
3 years ago
Read 2 more answers
Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.5 gallons of fuel. A warning light comes on when the remain
mixer [17]
His father can drive 25 days without the warning light
7 0
3 years ago
Write the algebraic expression that matches each graph ...y = ___
Dvinal [7]

Answer:

"absolute value function," y = |x|

Step-by-step explanation:

This is the graph of the "absolute value function," y = |x|.

7 0
3 years ago
Two angles are complementary.The larger angle is 30 degrees more than 4 times the smaller
gregori [183]

Answer:

Step-by-step explanation:

Remark

2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.

Givens

Let the smallest angle = x

Let the largest angle = 4x + 30

Equation

4x + 30° + x = 90°                   Combine like terms on the left

Solution

5x + 30 = 90                            Subtract 30 from both sides.

5x + 30 - 30 = 90 - 30             Combine

5x = 60                                     Divide both sides by 5

5x/5 = 60/5

x = 12

Answer

  • smallest angle = 12
  • Larger angle = 4*12 + 30 = 78

6 0
2 years ago
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