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2 years ago

A line includes the points (8, 6) and (4, 5). What is its equation in slope-intercept form?

Mathematics

1 answer:

Pie2 years ago

7 0

Answer:

y=1/4x+4

Step-by-step explanation:

to find the slope use (y2-y1)/(x2-x1)

(5-6)/(4-8)= 1/4

1/4 is your slope

to find the b in y=mx+b, plug in 1/4 for m and choose one of the points to plug in for x and y

I will use (4, 5)

5=1/4(4)+b

5=1+b

4=b

the final equation in y=1/4x+4

hope this helps!

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charlene has eight more dollars than megan. together they have $86.00. write an equation that could be used to determine the amo

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Megan has 40 dollars sense charlene has 8 more dollars and the both have 86

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3 years ago

A multiple-choice examination has 20 questions, each with five possible answers, only one of which is correct. Suppose that one

kari74 [83]

Answer:

The probability that the student answers at least seventeen questions correctly is $8.03\times 10^{-10}$ .

Step-by-step explanation:

Let the random variable X represent the number of correctly answered questions.

It is provided all the questions have five options with only one correct option.

Then the probability of selecting the correct option is,

$P(X)=p=\frac{1}{5}=0.20$

There are n = 20 question in the exam.

It is also provided that a student taking the examination answers each of the questions with an independent random guess.

Then the random variable can be modeled by the Binomial distribution with parameters n = 20 and p = 0.20.

The probability mass function of X is:

$P(X=x)={20\choose x}\ 0.20^{x}\ (1-0.20)^{20-x};\ x =0,1,2,3...$

Compute the probability that the student answers at least seventeen questions correctly as follows:

$P(X\geq 17)=P (X=17)+P (X=18)+P (X=19)+P (X=20)$

$=\sum\limits^{20}_{x=17}{{20\choose x}\ 0.20^{x}\ (1-0.20)^{20-x}}\\\\=0.00000000077+0.000000000032+0.00000000000084+0.000000000000042\\\\=0.000000000802882\\\\=8.03\times10^{-10}$

Thus, the probability that the student answers at least seventeen questions correctly is $8.03\times 10^{-10}$ .

4 0

3 years ago

Milan rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of 74 cents for each mile d

malfutka [58]

Answer:

m = 134 miles

Step-by-step explanation:

f(m) = 16.95 + 0.92m

140.23 = 16.95 + 0.92m

0.92m = 140.23 - 16.95

0.92m = 123.28

m = 123.28/0.92

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2 years ago

Solve for m: m + 4 = 5m - 12 m = 16 m = 4 m = 3 m = -3

kolbaska11 [484]

m + 4 = 5m - 12

Subtract m from both sides.

4 = 4m - 12

Add 12 to both sides

16 = 4m

Divide both sides by 4

m = 4

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2 years ago

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photoshop1234 [79]

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3 years ago