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3 years ago

11. Mis the midpoint of QR. Q is at (-8, 2) and M is at (4, -3). Find the coordinates of the endpoint R.

Mathematics

1 answer:

tamaranim1 [39]3 years ago

8 0

Answer:

R(16,-8)

Step-by-step explanation:

if (x1,y1) and (x2,y2) are coordinates of two points and (x,y) the coordinate of midpoint.

then x=(x1+x2)/2

and y=(y1+y2)/2

let coordinates of R are (x,y)

4=(-8+x)/2

8=-8+x

x=8+8=16

-3=(2+y)/2

-6=2+y

y=-6-2=-8

so R is (16,-8)

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Let the sample size of leg strengths to be 7 and the sample mean and sample standard deviation be 630 watts and 32 watts, respec

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Answer:

a. There is_<u><em>sufficient</em></u> evidence that the leg

C. 0.010 < P-value < 0.025

b. Power of test = 1- β=0.2066

c. So the sample size is 88

Step-by-step explanation:

We formulate the null and alternative hypotheses as

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Here n= 7 and significance level ∝= 0.005

Critical value for a right tailed test with 6 df is 1.9432

Sample Standard deviation = s= 32

Sample size= n= 7

Sample Mean =x`= 630

Degrees of freedom = df = n-1= 7-1= 6

The test statistic used here is

Z = x- x`/ s/√n

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Z= 2.4797= 2.48

P- value = 0.0023890 > ∝ reject the null hypothesis.

so it lies between 0.010 < P-value < 0.025

b) Power of test if true strength is 610 watts.

For a right tailed test value of z is = ± 1.645

P (type II error) β= P (Z< Z∝-x- x`/ s/√n)

Z = x- x`/ s/√n

Z= 610-630 / 32 / √7

Z=0.826

P (type II error) β= P (Z< 1.645-0.826)

= P (Z> 0.818)

= 0.7933

Power of test = 1- β=0.2066

(c)

true mean = 610

hypothesis mean = 600

standard deviation= 32

power = β=0.9

Z∝= 1.645

Zβ= 1.282

Sample size needed

n=( (Z∝ +Zβ )*s/ SE)²

n= ((1.645+1.282) 32/ 10)²

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A bird was perched on a tree at a height of 15 feet. The bird then saw food on a branch below and dropped down 61/3 feet. What i

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11. Mis the midpoint of QR. Q is at (-8, 2) and M is at (4, -3). Find the coordinates of the endpoint R.​

11. Mis the midpoint of QR. Q is at (-8, 2) and M is at (4, -3). Find the coordinates of the endpoint R.