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sesenic [268]
3 years ago
5

What is the value of p if the line that passes through (2,-4) and (p,8) has a slope of 1/2? ​

Mathematics
1 answer:
Irina18 [472]3 years ago
6 0

Answer:

Step-by-step explanation:

(2,-4)....x1= 2 and y1 = -4

(p,8).....x2 = p and y2 = 8

slope(m) = 1/2

now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know...

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

1 / 2 = (8 - (-4) / (p - 2)

1 / 2 = (8 + 4) / (p - 2)

1/2 = 12 / (p - 2) .....now multiply both sides by (p - 2)

1/2(p - 2) = 12

1/2p - 1 = 12

1/2p = 12 + 1

1/2p = 13

p = 13 / (1/2)

p = 13 * 2/1

p = 26

so the value of p is 26

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The cost of off-campus living for U of O students is normally distributed. The Office of the Registrar estimates that on average
evablogger [386]

Answer:

H1 : μ < 1225

Step-by-step explanation:

The alternative hypothesis in carrying out a statistical test could be explained as a notion which aims to displace or rival an initial position, the null hypothesis.

When declaring an hypothesis, the statement compares the initial or population mean in the hypothesis statement and not the result or outcome of the sample statistic.

In the scenario above :

The null is of the notion that :

H0 : μ = 1225 ;

Hence, the stance of the alternative which is that the mean is lower or less will be written as :

H1 : μ < 1225

6 0
3 years ago
Write 800 as the product of its prime factors.
Alex_Xolod [135]
800|2
800|2
400|2
200|2
100|2
50|2
25|5
5|5
1

800=2^5\cdot5^2


8 0
3 years ago
Two rectangles are similar. one has a length of 10 cm and a width of 8 cm, and the other has a width of 7 cm. find the length of
Mila [183]
The directions say round to the nearest tenth so use the 8.8 cm

5 0
3 years ago
Michelle is trying to buy a car that costs $35,550, and she has saved up $20,700. She borrowed the remaining amount that she nee
Dimas [21]

Answer: $ 4,515

Step-by-step explanation:

\\The cost of the car she wanted to buy = $35,550

\\Her savings = $20,700

\\That means she needs( $35,550 - $20,700) more in order for her to buy the car.

\\Amount borrowed from the finance company  = $35,550 - $20,700

\\= $ 14,850

\\Since she now owes the financial company a total of $19,365, then the interest accrued by the loan she borrowed is given by:

\\$19,365 - $ 14,850

\\= $4,515

7 0
3 years ago
- Isabella makes $14.35 an hour at her company. Skyler, who works at the same company,
olga55 [171]

Answer:

It would be 8 years ago.

Step-by-step explanation:

-First, subtract $14.35 from $16.35, which gives you 2.

-Next, remember that $0.25 is a quarter, so how many quarters make $2?

-0.25x4 gives you a dollar, so 0.25x8 gives you 2 dollars.

Hope it helps!

7 0
2 years ago
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