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Katena32 [7]
2 years ago
8

Write the equation of a line that passes through ( 4, 6), and has a slope of 1/3

Mathematics
1 answer:
nlexa [21]2 years ago
3 0

Answer:

y = 1/3x + 14/3

Step-by-step explanation:

y = mx + b

we know the slope, so the equation would be --> y = 1/3x + b

Now we plug in the coordinates of the given point (4, 6) the line goes through, and solve for b:

y = 1/3x + b

6 = 1/3(4) + b

6 = 4/3 + b

-4/3   -4/3

----------------

14/3 = b

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For a given population of high school seniors, the Scholastic Aptitude Test (SAT) in mathematics has a mean score of 500 with a
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Answer:

The probability that a randomly selected high school senior's score on mathematics part of SAT will be

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(b)between 450 and 675 is 0.6514

Step-by-step explanation:

Mean of Sat =\mu = 500

Standard deviation = \sigma = 100

We will use z score over here

 What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be

(a) more than 675?

P(X>675)

Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}

Z=1.75

P(X>675)=1-P(X<675)=1-0.9599=0.0401

b)between 450 and 675?

P(450<X<675)

At x = 675

Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}

Z=1.75

At x = 450

Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}

Z=-0.5

P(450<X<675)=0.9599-0.3085=0.6514

Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

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2 years ago
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Step-by-step explanation:

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