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irina1246 [14]
3 years ago
12

Write the slope-intercept form of the equation with the given point and slope. Through (2,5) and m=1/2

Mathematics
1 answer:
poizon [28]3 years ago
5 0

Answer:

y=1/2x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-5=1/2(x-2)

y=1/2x-2/2+5

y=1/2x-1+5

y=1/2x+4

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

If you're satisfied with the answer, then please mark me as Brainliest. Thank you.

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A plant in the manufacturing sector is concerned about its sulfur dioxide emissions. The weekly sulfur dioxide emissions follow
egoroff_w [7]

Answer:

The correct option is b) 1.70

Step-by-step explanation:

Consider the provided information.

The weekly sulfur dioxide emissions follow a normal distribution with a mean of 1000 ppm (parts per million) and a standard deviation of 25.

Thus, μ=1000 and σ = 25

The CEO wants to know if the mean level of emissions is different from 1000.

Therefore the null and alternative hypothesis is:

H_0:\mu =1000 and H_a:\mu \neq1000

The sample size is n = 50 and \bar x=1006 ppm.

Now calculate the test statistic by using the formula: z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}

Substitute the respective values in the above formula.

z=\frac{1006-1000}{\frac{25}{\sqrt{50}}}

z=\frac{6}{\frac{25}{\sqrt{50}}}=1.697\approx 1.70

Hence, the correct option is b) 1.70

7 0
3 years ago
This is hard can I get help
Eduardwww [97]
Same as the last one you asked. 

AB + BC = AC. Just think of it like Part + Part = Whole Thing

(2x + 6) + (6x + 5) = 51

Combine like terms:
8x + 11 = 51

Subtract 11 from both sides to get the variable and its coefficient on its own:
8x = 51 - 11
8x = 40

Divide both sides by 8 to isolate the variable:
x = 5

It's asking for us to find BC so now we plug in x = 5 to the equation it gave for BC. 

6x + 5
6(5) + 5
30 + 5
35

BC is 35 units long. 
3 0
3 years ago
Find the solutions of the quadratic equation
Kazeer [188]

Step-by-step explanation:

it it can be calculated by using the quadratic formula.

X=-b+_(√b^2-4ac)/2a

5 0
3 years ago
If J is between H and K and HJ = 3(x + 2), JK = 3x -4 and KH = 44. What is the value of HJ?
Ira Lisetskai [31]
KH = 3(x + 2) + <span>3x - 4
KH = 3x + 6 + 3x - 4
KH = 6x + 2 = 44
6x = 42
x = 7
HJ = 3(x + 2)
HJ = 3(7 + 2)
HJ = 27</span>
7 0
3 years ago
What is the probability of rolling a 5 or not rolling a 5 using a regular 6-sided number cube?
Ne4ueva [31]
There are 6 different sides you can land on with a dice. So the probability of rolling any one side is 1/6. The probability of NOT rolling a 5 is the same thing as rolling anything except a 5. So that probability will be 5/6.
7 0
3 years ago
Read 2 more answers
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