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sdas [7]
2 years ago
11

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Mathematics
1 answer:
Gelneren [198K]2 years ago
8 0

Answer:

Steps To Find The Distance Between Two Planes

Write equations in standard format for both planes.

Learn if the two planes are parallel.

Identify the coefficients a, b, c, and d from one plane equation.

Find a point (x1, y1, z1) in the other plane.

Substitute for a, b, c, d, x1, y1 and z1 into the distance formula.

Step-by-step explanation:

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Math SAT: Suppose the national mean SAT score in mathematics was 510. In a random sample of 50 graduates from Stevens High, the
sukhopar [10]

Answer:

Mean SAT score for Stevens High graduates are not the same as the national average.    

Step-by-step explanation:

We are given the following information in question:

Population mean, μ = 510

Sample mean, \bar{x} = 501

Sample size, n = 50

Alpha, α = 0.10

Sample standard deviation, s = 30

First, we design the null and the alternate hypothesis

H_{0}: \mu = 510\\H_A: \mu \neq 510

We use Two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n-1}} } Putting all the values, we have,

t_{stat} = \displaystyle\frac{501 - 510}{\frac{30}{\sqrt{49}} } = -2.1 Now,

t_{critical} \text{ at 0.10 level of significance, 49 degree of freedom } = \pm 1.6765 Since,              

t_{stat} < t_{critical}

We reject the null hypothesis and fail to accept it.

We accept the alternate hypothesis and mean SAT score for Stevens High graduates are not the same as the national average.

3 0
3 years ago
What is the unit distance, Rounded to the nearest hundredth, between the points (-5, 2) and (3, 7)?
Lostsunrise [7]

Answer:

Distance=9.43 units

Step-by-step explanation:

When you have two coordinates and you need to find the distance between them, you can use the distance formula.

D=sqrt(7-2)^2+(3-(-5))^2

D=sqrt(5^2+8^2)

D=sqrt(25+64)

D=sqrt89

D=9.43, rounded to the nearest hundredth.

Therefore, your distance would be 9.43 units.

I hope this helped! Have a good rest of your day~

3 0
3 years ago
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Aleonysh [2.5K]

Answer:

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Step-by-step explanation:

5 0
2 years ago
What is the differnce between (-4)-6
EastWind [94]

Answer:

24

Step-by-step explanation:

(-4) -6? well it equals 24 because a negative plus a negative equals a positive.

Hope my answer has helped you! If not i'm sorry.

6 0
2 years ago
Jon has $45.00. He plans to spend 4/5 of his money on sports equipment. How much will he spend
stich3 [128]
He will spend 80% of his money
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