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ehidna [41]
3 years ago
6

The scores on a test given to all juniors in a school district are normally distributed with a mean of 72 and a standard deviati

on of 6. Find the probability that a randomly chosen junior has a score above 90. The probability of randomly choosing a junior whose score is above 90 is___%.
Mathematics
1 answer:
faust18 [17]3 years ago
8 0
30% is the correct  answer.
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What is the equation of the circle for which the points (-2,3) and (4,9) are the endpoints of one of its diameters?
topjm [15]

Answer:

Step-by-step explanation:

hello :

look this solution

3 0
3 years ago
Please help!! x = 2 - 3 cos t, y = 1 + 4 sin t in rectangular form?<br><br> thank you! :)
sukhopar [10]

Answer:

\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1

Step-by-step explanation:

x=2-3\cos(t)

y=1+4\sin(t)

Let's solve for \cos(t) in the first equation and then solve for \sin(t) in the second equation.

I will then use the following identity to get right of the parameter, t:

\cos^2(t)+\sin^2(t)=1 (Pythagorean Identity).

Let's begin with x=2-3\cos(t).

Subtract 2 on both sides:

x-2=-3\cos(t)

Divide both sides by -3:

\frac{x-2}{-3}=\cos(t)

Now time for the second equation, y=1+4\sin(t).

Subtract 1 on both sides:

y-1=4\sin(t)

Divide both sides by 4:

\frac{y-1}{4}=\sin(t)

Now let's plug it into our Pythagorean Identity:

\cos^2(t)+\sin^2(t)=1

\frac{x-2}{-3})^2+(\frac{y-1}{4})^2=1

\frac{(x-2)^2}{(-3)^2}+\frac{(y-1)^2}{4^2}=1

\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1

5 0
3 years ago
Read 2 more answers
Mark gathered data about the number of pink and red flowers that bloomed on several of his flowering shrubs. The scatter plot sh
fgiga [73]

The scatter plot showing data gathered and line of best fit is attached below :

Answer:

69

Step-by-step explanation:

Given the regression model :

y = 1.73x + 0.0924

Where,

y = number of pink flowers

x = Red flowers

Slope = 1.73

Intercept = 0.0924

The number of pink flower that are predicted to bloom on a shrub of 40 red flowers :

Put x = 40 and calculate the value of y

y = 1.73(40) + 0.0924

y = 69.2 + 0.0924

y = 69.2924

Number of pink flowers = 69

8 0
3 years ago
PLEASE HELP!! its due in 20 minutes and i dont get this
Goryan [66]

Answer:

Please see below :)

Step-by-step explanation:

The slope is just what's in front of the x!

So:

1.) slope = -1/4

2.) slope = undefined

3.) slope = -9

4.) slope = 9/2

Hope this helps!

7 0
3 years ago
Read 2 more answers
What is the value of x three times less than the value of 45−10x?
Mekhanik [1.2K]
This is the concept of algebra. The value of x three times less than the value of 45-10x will be as follows;
The value of x three times is:
3x
subtracting 45-10x we get:
3x-(45-10x)
3x+10x-45
13x-45
the answer is:
13x-45
6 0
3 years ago
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