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3 years ago

What is the slope-intercept equation for the line below?

Mathematics

2 answers:

PIT_PIT [208]3 years ago

8 0

Answer:

it is a very very easy sum!

Step-by-step explanation:

goooooood afternoon

Scilla [17]3 years ago

7 0

Answer:

A) y = 5/4x - 4

Step-by-step explanation:

Slope-intercept formula

y = mx + b, where m = slope, b = y-intercept

Slope formula

m = (y2 - y1)/(x2 - x1)

Given points (on the graph)

(0, -4) and (4, 1)

Slope is:

m = (1 - (-4))/(4 - 0) = 5/4

y-intercept is

-4 as per the first point

So the line is:

y = 5/4x - 4

Correct answer option is: A) y = 5/4x - 4

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Paired t-test Application (Part 1)An environmental engineer is tasked with determining whether a power plant cooling system is h

qaws [65]

Complete Question

The complete question is shown on the first and second uploaded image

Answer:

Part 1

The correct option is B

Part 11

The correct option is H

Step-by-step explanation:

From the question we are told that

The sample size is n = 15

Generally the sample mean for the input temperature is mathematically represented as

$\= x _1 = \frac{\sum x_i}{n}$

$\= x _1 = \frac{57.6 + 68.9 \cdots +60.4 }{15}$

$\= x _1 = 62.57$

Generally the sample mean for the output temperature is mathematically represented as

$\= x _2 = \frac{\sum x_i}{n}$

$\= x _2 = \frac{65.1 + 74.4 \cdots +67.3 }{15}$

$\= x _2 = 55.97$

Generally the difference between the mean of the input temperature and that of the output temperature is

$d = \= x_1 - \= x_2$

=> $d = 62.57 - 55.97$

=> $d = 6.6$

Generally the standard deviation of the difference between the input temperature and the output temperature is mathematically represented as

$s_d = \sqrt {\frac{1}{n-1 } \sum [d_i - d]^2}$

=> $s_d = \sqrt{\frac{[(57.6 - 65.1) - 6.6]^2+[(68.9 - 74.4) - 6.6]^2+ \cdots +[(68.1 - 74.7) - 6.6]^2 }{15-1} }$

=> $s_d = 1.732$

The null hypothesis is $H_o : \mu_1 -\mu_2 = 6$

The alternative hypothesis is $H_a : \mu _1 - \mu_2\ne 6$

Generally the test statistics is mathematically represented as

$t = \frac{d - 6}{ \frac{s_d}{ \sqrt{n} } }$

$t = \frac{6.6- 6}{ \frac{1.732}{ \sqrt{15} } }$

$t = 1.342$

Generally the p-value is mathematically represented as

$p-value = 2 * P(t > 1.342)$

From the student t distribution table( reference - danielsoper(dot)com(slash)statcalc(slash)calculator) at a degree of freedom of df = n-1 = 15-1 = 14

$P(t > 1.342) = t_{1.342 , 14} = 0.100478$

$p-value = 2 * 0.100478)$

$p-value = 0.201$

From the values obtained we see that the $p-value > \alpha$ hence the decision rule is fail to reject the null hypothesis

The conclusion is

The cooling system changes the temperature of the water by 6 degrees.

5 0

4 years ago

What would be the value of $150 after eight years if you earn 12 percent interest per year? $371.39 $415.96 $465.88

guajiro [1.7K]

$371.39.
Hope it helps

3 0

4 years ago

Read 2 more answers

Jack left his house and drove at 60 km/h for 5 hours to reach Spencer's house.

Aleks04 [339]

Answer:

6hrs

Step-by-step explanation:

60km x 5 = 300km distance

50km x 6 = 300km distance

7 0

4 years ago

Find the missing part of the unit rate: 21 Cards 3 Piles = [?] cards Pile

Klio2033 [76]

Answer:

Step-by-step explanation:

Given,

3 Piles = 21 cards

1 Pile = (21 ÷ 3) cards

= 7 cards.

6 0

2 years ago

Read 2 more answers

A potato launcher uses a spring that can apply a force of 20N to potato’s. He launches a 100 gram potato, what is the accelerati

shepuryov [24]

Answer:

200 m s^-2.

133.33 ms^-2.

100 m s^-2.

Step-by-step explanation:

Use Newton's Second Law of motion:

Force = mass * acceleration

The force is in Newtons so the mass must be in kilograms#

100 g = 0.1 kg. So:

20 = 0.1 * a

a = 20/ 0.1 = 200 m s^-2.

We calculate the acceleration for the 150g and 200g potato in the same way.

3 0

3 years ago