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ycow [4]
3 years ago
15

A random sample of 120 SAT scores of students applying for merit scholarships showed an average of 1400 with a standard deviatio

n of 240. If we want to provide a 95% confidence interval for the SAT scores, the degrees of freedom for reading the critical values of the "t" value is:_________
Mathematics
1 answer:
sammy [17]3 years ago
8 0

Answer:

1.980

Step-by-step explanation:

Given that a random sample of 120 SAT scores of students applying for merit scholarships showed an average of 1400 with a standard deviation of 240

Here nothing mentioned about the distribution but sample size is very large.

Since population std deviation is not known, only sample std deviation is used.

t test will be more appropriate.

df = degrees of freedom = n-1=119

For two tailed 95% level, t critical value for 119 df would be

1.980

Using this critical value confidence interval would be formed.

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Anvisha [2.4K]

Answer: Volume is 4.19

Step-by-step explanation:

The equation for the volume of a cone is πr^2(h/3)

r = 1

h = 4

Fill in values into the equation

π(1)^2(4/3) = 4.19

6 0
2 years ago
Which is the correct formula to find the distance between two points (p,q) and (m,n)?
Dafna1 [17]

Answer:

The answer is d = √[(p - m)² + (q - n)²] ⇒ first answer

Step-by-step explanation:

* The distance between any to points (x1 , y1) , (x2 , y2) is

- d = √[square the difference of x- coordinates plus

        square the difference of y-coordinates]

∴ d = √[(x2 - x1)² + (y2 - y1)²] or

∴ d² = (x2 - x1)² + (y2 - y1)²

* x2 - x1 is the horizontal distance (h) and y2 - y1

 is the vertical distance (v)

- By using Pythagoras theorem

∴ d = √[h² + v²]

∵ The two points are (p , q) and (m , n)

- Put x1 = m and y1 = n

- Put x2 = p and y2 = q

∴ d² = (p - m)² + (q - n)²

∴ d = √[(p - m)² + (q - n)²]

∴ The answer is d = √[(p - m)² + (q - n)²] ⇒ first answer

6 0
3 years ago
Read 2 more answers
function f of x is a straight line which joins the ordered pairs negative 2.8, 16.4 and 3.5, negative 2.5. Function g of x is a
Alecsey [184]
Given the graph of the function
f(x)=-3x+8
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g(x)=(0.25)^x

-3x+8=(0.25)^x when f(x) = g(x).
This occurs at the point(s) of intersection of the graphs of the function f(x) and g(x).

From the graph, we can approximate the points of intersection of the graphs of the function f(x) and g(x) to pe points (-1.9, 13.7) and (2.7, 0).
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3 years ago
Mr. Peters needs to build a rectangular pig pin 14 4/5 meters long and 5 1/5 meters wide
Amiraneli [1.4K]

Hope this us helpful

3 0
3 years ago
Write an equation of the circle that has a diameter with endpoints (12, 3) and<br> (-18,3).
Mademuasel [1]

The equation of the circle that has a diameter with endpoints (12, 3) and(-18,3) is x² + y² + 6x - 6y - 207 = 0

<h3>Coordinates of center of circle</h3>

Since the endpoints of the diameter are (x₁, y₁) = (12,3) and (x₂, y₂) = (-18,3), the coordinates of the center of the circle are the midpoints of the diameter. So, the midpoints are

  • x = (x₁ + x₂)/2 = (12 + (-18))/2 = (12 - 18)/2 = -6/2 = -3 and
  • y = (y₁ + y₂)/2 = (3 + 3)/2 = 6/2 = 3.

So, the coordinates of the center of the circle are (-3, 3)

<h3>The radius of the circle</h3>

The radius of the circle r = √[(x₁ - h)² + (y₁ - k)²] where

  • (x₁, y₁) = coordinates of end of diameter = (12, 3) and
  • (h, k) = coordinates of center of circle = (-3, 3)

So, substituting the values of the variables into r, we have

r = √[(x₁ - h)² + (y₁ - k)²]

r = √[(12 - (-3))² + (3 - 3)²]

r = √[(12 + 3)² + 0²]

r = √[15² + 0²]

r = √15²

r = 15

<h3>The equation of the circle</h3>

The equation of a circle with center (h,k) is given by

(x - h)² + (y - k)² = r² where r = radius of circle.

Substituting the values of the variables into the equation, we have

(x - h)² + (y - k)² = r²

(x - (-3))² + (y - 3)² = 15²

(x + 3)² + (y - 3)² = 15²

x² + 6x + 9 + y² - 6y + 9 = 225

x² + 6x + y² - 6y + 9 + 9 - 225 = 0

x² + y² + 6x - 6y - 207 = 0

The equation of the circle that has a diameter with endpoints (12, 3) and(-18,3) is x² + y² + 6x - 6y - 207 = 0

Learn more about equation of a circle here:

brainly.com/question/18435467

5 0
2 years ago
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