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ollegr [7]
3 years ago
9

Aline has a slope of -3 and a y-intercept of 3 what is the x-intercept of the line?

Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0

Answer:

(1,0)

Step-by-step explanation:

y = -3x+3

simple, to find the x-intercept, what does x equal for y to be 0?

when x is 1, y equals 0, so the x-intercept would be at (1,0)

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The midpoint of K is M(-3, -1). One endpoint is J(-12, -11). What are the coordinates of endpoint K?
Over [174]

Answer: 2 times sqrt(181) (approximately 26.9)

Step-by-step explanation:

First, we can plot these points on a graph. Then, we’ll use the Distance Formula to calculate the distance between the two points, which is sqrt(181).


Since the problem tells us that one of our coordinates is the midpoint of K, we know that the length of the segment we just calculated is 1/2 of K. We can multiply our answer to get that K is 2 times sqrt(181).

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Which of the following is most likely the next step in the series?
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Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
yKpoI14uk [10]

Answer:

a) 0.5588

b) 0.9984

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 24

Standard Deviation, σ = 6.4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}        

a) P(score between 20 and 30)

P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{6.4} \leq z \leq \displaystyle\frac{30-24}{6.4}) = P(-0.62 \leq z \leq 0.94)\\\\= P(z \leq 0.94) - P(z < -0.62)\\= 0.8264 - 0.2676 = 0.5588 = 55.88\%

P(20 \leq x \leq 30) = 55.88\%

b) Sampling distribution

Sample size, n = 22

The sample will follow a normal distribution with mean 24 and standard deviation,

s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{6.4}{\sqrt{22}} =1.36

c) P(mean score of sample is between 20 and 30)

P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{1.36} \leq z \leq \displaystyle\frac{30-24}{1.36}) = P(-2.94 \leq z \leq 4.41)\\\\= P(z \leq 4.41) - P(z < -2.94)\\= 1 - 0.0016 = 0.9984 = 99.84\%

P(20 \leq x \leq 30) =99.84\%

5 0
3 years ago
Math 15
avanturin [10]

Answer:

  • c. 126.27 square feet

Step-by-step explanation:

<u>Area of rhombus is:</u>

  • A = pq/2, where p and q are diagonals

<u>We have:</u>

  • p = 18.3 ft
  • q = 13.8 ft

<u>The area is:</u>

  • A = 18.3*13.8/2 = 126.27 ft²

Correct choice is C

4 0
2 years ago
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