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3 years ago

The lines shown below are parallel. If the green line have a slope of -3, what is the slope of the red line

Mathematics

1 answer:

abruzzese [7]3 years ago

7 0

Answer:

The slope of the red line would also be -3

Step-by-step explanation:

This is because parallel lines have the same slope. So if the lines are parallel and the green one has a slope of -3, then the red one must also have a slope of -3.

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Which of the following points lies on the graph of the function y= 2.3*?

Rainbow [258]

If the equation is $y = 2\cdot 3^x$ (2 times 3^x)

Then the answer is d. (0,2)

This is because plugging x = 0 leads to y = 2 as shown below

$y = 2\cdot 3^x\\\\y = 2\cdot 3^0\\\\y = 2\cdot 1\\\\y = 2$

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3 years ago

2) For a dinner party, Norman agrees to buy dessert for everyone. He buys cookies and brownies in a ratio of 3:5. If Norman buys

kkurt [141]

Answer:

for points

Step-by-step explanation:

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3 years ago

Which of the following is not a function?

____ [38]

Answer:D

Step-by-step explanation:

D, the X values repeat for 7.

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3 years ago

Would anyone help With these questions it's the last one I don't know how to do them 1,2,3,4,5 and 6

Shtirlitz [24]

Answer:

See below

Step-by-step explanation:

1. Use x to designate the number of hours worked.

Plumber 1 = 35(x) + 25

Plumber 2 = 40(x)

Now you need to find when these two equations are equal to each other.

35(x) + 25 = 40(x)

Solve for x.

25 = 40x - 35x

25 = 5x

5 = x

So when the service call equals 5 hours, both plumbers will charge the same amount of money.

2. Use x to designate the number of months.

Center 1 = 30x

Center 2 = 22x + 80 initiation fee

Now you need to make the two equations equal to each other and solve for x.

30x = 22x + 80

30x - 22x = 80 or 8x = 80

x = 10 months

3. Use x to designate the pounds of the package

Shipper 1 = 14 + 2x

Shipper 2 = 20 + 1.5x

Make the two equations equal to each other.

14 + 2x = 20 + 1.5x

2x - 1.5x = 20 - 14

0.5x = 6

x = 12 pounds

4. Deanna $15 using $0.75 per game. This means she can play a total of 20 games before having $0.

Lise $13 using $0.50 per game. This means she can play a total of 26 games before having $0.

So since both end up with $0, you can see that Deanna would play 20 games and Lise would play 26 games.

5. Use x to designate the call time length.

Hotel 1 = 1 + 0.80x

Hotel 2 = 2 + 0.75x

Make both equations equal to each other.

1 + 0.8x = 2 + 0.75x

0.8x - 0.75x = 2 - 1

0.05x = 1

x = 20

6. Use x to designate semesters.

Duke = 22 + 6x

Kila = 4 + 12x

22 + 6x = 4 + 12x

22 - 4 = 12x - 6x

18 = 6x

3 = x semesters

6 0

3 years ago

To estimate the mean height μ of male students on your campus,you will measure an SRS of students. You know from government data

nexus9112 [7]

Answer:

a) $\sigma = 0.167$

b) We need a sample of at least 282 young men.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

This Zscore is how many standard deviations the value of the measure X is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

(a) What standard deviation must x have so that 99.7% of allsamples give an x within one-half inch of μ?

To solve this problem, we use the 68-95-99.7 rule. This rule states that:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we want 99.7% of all samples give X within one-half inch of $\mu$ . So $X - \mu = 0.5$ must have $Z = 3$ and $X - \mu = -0.5$ must have $Z = -3$ .

$Z = \frac{X - \mu}{\sigma}$

$3 = \frac{0.5}{\sigma}$

$3\sigma = 0.5$

$\sigma = \frac{0.5}{3}$

$\sigma = 0.167$

(b) How large an SRS do you need to reduce the standard deviationof x to the value you found in part (a)?

You know from government data that heights of young men are approximately Normal with standard deviation about 2.8 inches. This means that $\sigma = 2.8$