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3 years ago

What is the rate of change for 7x + 8y = 56

Mathematics

1 answer:

natali 33 [55]3 years ago

6 0

Answer:

-7/8

Step-by-step explanation:

7x+8y=56

8y=-7x+56

8y/8=(-7x+56)/8

y=(-7/8)x+7

Slope is the rate of change.

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A Rasmussen Reports survey of 1,000 US adults found that 42% believe raising the minimum wage will help the economy. Construct a

vitfil [10]

Answer:

(0.3798, 0.4602)

Step-by-step explanation:

Let p be the true proportion of US adults who believe raising the minimum wage will help the economy. A point estimate for p is $\hat{p}=0.42$ and a good aproximation (because we have a large sample) for the standard deviation of $\hat{p}$ is $\sqrt{\hat{p}(1-\hat{p})/n}=\sqrt{0.42(0.58)/1000}=0.0156$ . Therefore, a 99% confidence interval for p is given by $\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$ where $\alpha=0.01$ and $z_{\alpha/2}$ is the $\alpha/2$ th quantile of the standard normal distribution, so we have, $0.42\pm z_{0.005}0.0156$ , i.e., $0.42\pm(-2.5758)(0.0156)$ or equivalently (0.3798, 0.4602).

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3 years ago

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PtichkaEL [24]

Sorry what what is the question?

8 0

3 years ago

Read 2 more answers

Jorie leaves work 30 minutes late. She decides to make up time by taking the toll road instead of side streets. She can travel f

alexandr1967 [171]

Answer:

OPTION C

Step-by-step explanation:

We know that the toll road is 4 times faster than the side streets.

If 'x' represents the number of minutes she usually spend taking the side streets. The $\frac{1}{4} x$ represents the time she takes taking the toll road.

Also we need to create an equation to represent her total travel time, including wait time. Therefore, the equation is:

$y = \frac{1}{4}x + 30$

Therefore, the correct solution is the OPTION C.

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3 years ago

Explain how an enlargement of reduction in the dimensions of a building would cause a change in the scale factor.

Delicious77 [7]

Answer:

The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.

Step-by-step explanation:

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4 years ago

the diagonals of parallelogram ABCD intersect at point O. If segment AC is a diagonal and AO = 5, then what is AC

gavmur [86]

9514 1404 393

Answer:

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. That is, point O is the midpoint of AC. If AO = 5, then OC = 5 and AC = 5+5 = 10.

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3 years ago