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2 years ago

Identify the slope and y-intercept from the following equations.

Mathematics

1 answer:

Maksim231197 [3]2 years ago

8 0

Answer:

y=3x - 1

M=3

B=1

y=1/2 X - 5

M=1/2x

B=5

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Student Debt – Vermont: The average student loan debt of a U.S. college student at the end of 4 years of college is estimated to

mezya [45]

Answer:

The confidence interval is (24116.3878,24883.6122).

Step-by-step explanation:

We are given the following information in the question:

Population mean, $\mu$ = $23,500

Sample mean, $\bar{x}$ = $24,500

Sample standard deviation,s = $2,800

Sample size, n = 146

Confidence interval:

$\bar{x} \pm t_{critical}\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at}~\alpha_{0.05} = \pm 1.655436$

$24500 \pm 1.65543(\frac{2800}{\sqrt{146}} ) = 24500 \pm 383.6122 = (24116.3878,24883.6122)$

The confidence interval is (24116.3878,24883.6122).

5 0

2 years ago

What is the ratio of the intensities of an earthquake PP wave passing through the Earth and detected at two points 19 kmkm and 4

Tamiku [17]

Answer:

The ratio of the intensities is roughly 6:1.

Step-by-step explanation:

The intensity I() of an earthquake wave is given by:

$I = \frac{P}{4\pi d^{2}}$

<em>where P: is the power ans d: is the distance. </em>

Hence, the ratio of the intensities of an earthquake wave passing through the Earth and detected at two points 19 km and 46 km from the source is:

$\frac{I_{1}}{I_{2}} = \frac{P/4\pi d_{1}^{2}}{P/4\pi d_{2}^{2}}$

<em>where I₁ = P/4πd₁², d₁=19 km, I₁ = P/4πd₂² and d₂=46 km </em>

$\frac{I_{1}}{I_{2}} = \frac{d_{2}^{2}}{d_{1}^{2}}$

$\frac{I_{1}}{I_{2}} = \frac{46 km^{2}}{19 km^{2}}$

$\frac{I_{1}}{I_{2}} = 5.9:1$

Therefore, the ratio of the intensities is roughly 6:1.

I hope it helps you!

3 0

2 years ago

If the original quantity is 8 and the new quantity is ,2 what is the percent decrease?

azamat

Answer: 75%

Step-by-step explanation:

75% of 8 is 6.

8 was decreased by 6 to get 2.

8 was decreased by 75% of its initial value to get 2.

Hope this helped!

3 0

2 years ago

Read 2 more answers

A bird releases waste from a height of

shepuryov [24]

Answer:

5secs

Step-by-step explanation:

Given the equation of the height expressed ad;

h(t) = - 16t^2 + initial height

Given that initial height = 400feet

h(t) = - 16t^2 + 400

The waste will hit the ground at when h(t) = 0

substitute

0 = - 16t^2 + 400

16t^2 = 400

t² = 400/16

t² = 25

t = √25

t = 5secs

Hence it will take the easte 5secs to hit the ground

7 0

2 years ago

80% of what number is 24

pochemuha

24* 80/100 = 24*8/10 = 19.2 is the answer.

6 0

2 years ago

Read 2 more answers