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valkas [14]
3 years ago
10

Which of the following circles have their centers in the second quadrant? Check all that apply.

Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0
The given circles are given in standard form:
(x - xc)² + (y - yc)² = r²

The second quadrant is the one that has negative x coordinates and positive y coordinates.

This said, let's see all your options:
A) (x - 5)² + (y - 6)² = 25
xc = -(-5) = +5
yc = -(-6) = +6
C (5 , 6) is in the first quadrant.

B) (x + 1)² + (y - 7)² = 16
xc = -(+1) = -1
yc = -(-7) = +7
C (-1 , 7) is in the second quadrant.

C) (x - 4)² + (y + 3)² = 32
xc = -(-4) = +4
yc = -(+3) = -3
C (4, -3) is in the fourth quadrant.

<span> D) (x + 2)² + (y - 5)²= 9</span>
xc = -(+2) = -2
yc = -(-5) = +5
C (-2 , +5) is in the second quadrant.

Therefore, the correct answers are B and D.
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In a statistics mid-term exam graded out of 100 points, the distribution of the exam scores was bi-modal with a mean of 70 point
Mnenie [13.5K]

Answer:

Step-by-step explanation:

Assuming a normal distribution for the distribution of the points scored by students in the exam, the formula for normal distribution is expressed as

z = (x - u)/s

Where

x = points scored by students

u = mean score

s = standard deviation

From the information given,

u = 70 points

s = 10.

We want to find the probability of students scored between 40 points and 100 points. It is expressed as

P(40 lesser than x lesser than or equal to 100)

For x = 40,

z = (40 - 70)/10 =-3.0

Looking at the normal distribution table, the corresponding z score is 0.0135

For x = 100,

z = (100 - 70)/10 =3.0

Looking at the normal distribution table, the corresponding z score is 0.99865

P(40 lesser than x lesser than or equal to 100) = 0.99865 - 0.0135 = 0.98515

The percentage of students scored between 40 points and 100 points will be 0.986 × 100 = 98.4%

4 0
3 years ago
Read 2 more answers
Shiloh is 7 years older than Courtney. Shiloh's age is 13 years less than two times Courtney's age. The system below models the
Andrews [41]

I'm afraid I don't see the models you have written about although I do know the answer. (C= Courtney's age, S= Shilo's age)

Shilo is 7 years older then Courtney, which equals to C+7=S.

While at the same time Shilo is 13 years younger then twice Courtney's age. This turns into Cx2-13=S.

c+7=cx2-13. This is the equation, now lets work it out.

Add 13 on each side and you get

c+20=2c

Now we subtract c from each side and we get

20=c Therefor we have found out that Courtney is 20 years old.

Shilo being 7 years older then Courtney is 27


8 0
3 years ago
Which choices are common factors of the numerator and denominator of 18/24
Andre45 [30]
6/8, 3/4 hopes this helps
5 0
3 years ago
What is the distributive property of 4+10
IgorC [24]

Answer:

  2(2 +5)

Step-by-step explanation:

We presume you want to rewrite the expression making use of the distributive property. For that, it is helpful to find a factor common to the two terms. The GCD of 4 and 10 is 2, so we can factor that out:

  4 + 10 = 2(2 +5)

_____

Of course, you can use any factor you like. It doesn't need to be an integer.

  = (1/3)(12 +30)

  = 0.4(10 +25)

  = 4(1 +2.5)

4 0
3 years ago
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DerKrebs [107]

Answer:

<h2>12</h2><h2>Step-by-step explanation:</h2>

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