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Ierofanga [76]
2 years ago
11

SAT scores of students at an Ivy League college are distributed with a standard deviation of 250 points. Two statistics students

, Raina and Luke, want to estimate the average SAT score of students at this college as part of a class project. They want their margin of error to be no more than 25 points.(a) Raina wants to use a 90% condence interval. How large a sample should she collect?Raina should sample at least people.

Mathematics
1 answer:
Minchanka [31]2 years ago
8 0

Answer:

The sample size should be 273 students

Step-by-step explanation:

Here Raina wants to use 90% interval then

ME = z. SE

SE = s d/√n at end

ME/z   = s d/√n

n={z.sd/ME)²

Z = 1.65    =>due to  90%confidence interval

ME= 24

sd=250

putting these value in the question we get 273 students

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It represents a mosquito that flew very fast after feeding relative to all other mosquitoes.

Step-by-step explanation:

The point is unusual because the velocity of the mosquito is substantially greater than all other velocities and is probably an outlier.

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2 years ago
On a road map, the locations A, B and C are collinear. Location C divides the road from location A to B, such that AC:CB = 1:2.
koban [17]

Answer:

C. (-1,-2)

Step-by-step explanation:

Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.

Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)

So x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Substituting the values of the coordinates, we have

x = (mx₂ + nx₁)/(m + n)

3 = (1 × x₂ + 2 × 5)/(2 + 1)

3 = (x₂ + 10)/3

multiplying through by 3, we have

9 = x₂ + 10

x₂ = 9 - 10

x₂ = -1

y = (my₂ + ny₁)/(m + n)

10 = (1 × y₂ + 2 × 16)/(2 + 1)

10 = (x₂ + 32)/3

multiplying through by 3, we have

30 = y₂ + 32

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3 0
2 years ago
The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the nu
bogdanovich [222]

Answer:

Option A 50-page photo album holds 400 photographs.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

step 1

<em>Find the value of k</em>

For the point (3,24)

x=3,y=24

k=y/x

k=24/3=8

The equation is equal to

y=8x

step 2

<em>Verify each statement</em>

case A) 50-page photo album holds 400 photographs.

For x=50

substitute in the equation

y=8(50)=400 -----> is correct

case B) 80-page photo album holds 560 photographs.

For x=80

substitute in the equation

y=8(80)=640 -----> is not correct

case C) 100-page photo album holds 8,000 photographs.

For x=100

substitute in the equation

y=8(100)=800 -----> is not correct

case D) 900-page photo album holds 8,400 photographs.

For x=900

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y=8(900)=7,200 -----> is not correct

9 0
2 years ago
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Answer:

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Step-by-step explanation:

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(2av³L - 3av²uL) = 0

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Answer:

2,3 so your answer is c

Step-by-step explanation:

7 0
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