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trasher [3.6K]
2 years ago
11

Find the slope of the line that passes through (8, 6) and (2, 7).

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
6 0
Vas happenin!!

Slope form - y2-y1/x2-x1

7-6/ 2-8

1/-6

Your slope is -6x


Hope this helps

-Zayn Malik
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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
Solve for points. identify the vertex and indicate whether it is max or min.
Keith_Richards [23]

Answer:

min at (3, 0 )

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = (x - 3)² = x² - 6x + 9 ← in standard form

with a = 1 and b = - 6 , then

x_{vertex} = - \frac{-6}{2} = 3

substitute x = 3 into the equation for corresponding value of y

y = (3 - 3)² = 0² = 0

vertex = (3, 0 )

• if a > 0 then vertex is minimum

• if a < 0 then vertex is maximum

here a = 1 > 0 then (3, 0 ) is a minimum

4 0
1 year ago
Three witches were making a brew and needed to triple there recipe the original recipe called for 1 and 1/3 cups of bug splatter
sesenic [268]

Answer:

Bug splatter needed: 4 cups

Sardines needed: 1 and 2/4 cups or 1 and 1/2 cups

Dirty dish water needed: 2 cups

Step-by-step explanation:

1 and 1/3 cups x 3 = 4 cups

2/4 cups x 3 = 1 and 2/4 or 1 and 1/2 cups

2/3 cups x 3 = 2 cups

4 0
2 years ago
A train left Apex at 3 P.M. and traveled for 1 hour and 30 minutes. It stopped for fuel for 15 minutes, and then continued towar
julia-pushkina [17]
Left at 3 p.m
traveled 1 hr 30 min......now its 4:30 p.m.
stopped for 15 min....now its 4:45 p.m.
continued for 2 hrs 10 min....now its 6:55 p.m

so the train arrived at 6:55 p.m.
6 0
3 years ago
Solve.
horrorfan [7]
.hello : 
<span>2d−e=7....(1)
d+e=5.....(2)
(1)+(2) : 3d=12
d=4
subsct in (2) : 
4+e=5
e=1
conclusion : 
</span><span>The solution is (4, 1).</span><span>

</span>
4 0
3 years ago
Read 2 more answers
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