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2 years ago

9

A fair die is rolled 360 times. Find the probability that: a) less than50 results are a 6. B) between 55 and 65 results (inclusi

ve) are a 6

1 answer:

Karolina [17]2 years ago

8 0

For this problem, you haven = 360p = 1/6q = 5/6 E[x] = np = 360*1/6 = 60SD[x] = √(npq) = √(360*1/6*5/6) = √(50) ≈ 7.07

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Which of the following statements is true only if triangles EFI and GFH are similar?

igomit [66]

Answer: Choice B

FH/FI = HG/IE

================================================

Explanation:

We're told that triangles EFI and GFH are similar. The order of the lettering is important because it tells us how the angles pair up.

E and G pair up because they are the first letters of EFI and GFH
F and F pair up as they are the second letters
I and H pair up because they are the third letters

This means

E = G
F = F
I = H

Furthermore, it means

EF corresponds to FG
FI corresponds to FH
IE corresponds to GH

Focus on the last two items of the list above. We can then form the proportion

FI/FH = IE/GH

which is the same as

FH/FI = GH/IE

when we apply the reciprocal to both sides. Since HG is the same as GH, we can then say

FH/FI = HG/IE

So basically the corresponding sides create equal ratios to form this proportion. There are many other proportions that can be formed.

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1 year ago

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A linear regression equation is calculated for a sample of n = 20 pairs of X and Y values.

Nata [24]

Answer: B) 18

Step-by-step explanation:

The degree of freedom for Standard error or df(Residual) is the sample size minus the number of estimated parameters ,.

df= n - p , where n= sample size , p = number of parameters.

According to the given problem , we have

Sample size : n=20

Number of parameters (x and y ): p= 2

Then, the df value for the standard error of estimate will be :

df= n-p =20-2=18

Thus , the df value for the standard error of estimate is 18 .

Hence, the correct answer is B) 18 .

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2 years ago

the mean height of the team is 200.3 .a new player joins and raises the mean average height to 201cm. work out the height of the

ivann1987 [24]

Question

The table shows the heights in a basketball team.

Height: 198, 199, 200, 201, 202

a.) Work out the mean height of the team. Round you answer to 1d.p.

That, I have worked out is 200.3

b.) A new player joins the team and raises the mean average height to 201cm. Work out the height of the new player.

Answer:

206 cm

Step-by-step explanation:

The sum of the fiven numbers, 198+199+200+201+202=1000

For a mean of 201, the product should be 201*6=1206

The difference of the two is equivalent to the height of the other person hence 1206-1000=206 cm

Therefore, the height is 206 cm

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1 year ago

starting on the positive x axis and moving 1/3 of the way around the circle in 3 m radius, ow far will it go?

nlexa [21]

You will move 1/3 of the circumference of the circle with a radius of 3m.

C=2πr so C/3 is:

d=2πr/3, we are told that the radius is 3m so:

d=2π3/3

d=2π m

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2 years ago

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BabaBlast [244]

Answer:

Exact form: $-5/3$

Decimal form: $-1.66$ (repeating)

Mixed number form: $-1\frac{2}{3}$

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