Answer: 7500
Step-by-step explanation:
multiply 150 by 50
Answer:
The answer to your question is the letter A.
Step-by-step explanation:
Data
Center = (2, 3)
radius = 2
Process
1.- Find the equation of the line
(x - h)² + (y - k)² = r²
-Substitution
(x - 2)² + (y - 3)² = 2²
-Simplification
(x - 2)² + (y - 3)² = 4
-Evaluate the points in the equation
A. (4, 3)
(4 - 2)² + (3 - 3)² = 4
2² + 0 = 4
4 = 4 This point lies in the circle
B (-1, 0)
(-1 - 2)² + (0 - 3)² = 4
-3² + (-3)² = 4
9 + 9 = 4 This point is not part of the circle
C. (1, 3)
(1 - 2)² + (3 - 3)² = 4
(-1)² + (0)² = 4
1 = 4 This point is not part of the circle
D. (3, 4)
(3 - 2)² + (4 - 3)² = 4
1² + 1² = 4
2 = 4 This point is not part of the circle
So we are given the mean and the s.d.. The mean is 100 and the sd is 15 and we are trying the select a random person who has an I.Q. of over 126. So our first step is to use our z-score equation:
z = x - mean/s.d.
where x is our I.Q. we are looking for
So we plug in our numbers and we get:
126-100/15 = 1.73333
Next we look at our z-score table for our P-value and I got 0.9582
Since we are looking for a person who has an I.Q. higher than 126, we do 1 - P. So we get
1 - 0.9582 = 0.0418
Since they are asking for the probability, we multiply our P-value by 100, and we get
0.0418 * 100 = 4.18%
And our answer is
4.18% that a randomly selected person has an I.Q. above 126
Hopes this helps!
Hello! My name is Chris and I’ll be helping you with this problem.
Date: 9/27/20 Time:
Answer:
x = -1
Explanation:
Step 1: Simplify both sides of the equation.
−2(x+3)=−4(x+1)−4
(−2)(x)+(−2)(3)=(−4)(x)+(−4)(1)+−4(Distribute)
−2x+−6=−4x+−4+−4
−2x−6=(−4x)+(−4+−4)(Combine Like Terms)
−2x−6=−4x+−8
−2x−6=−4x−8
Step 2: Add 4x to both sides.
−2x−6+4x=−4x−8+4x
2x−6=−8
Step 3: Add 6 to both sides.
2x−6+6=−8+6
2x=−2
Step 4: Divide both sides by 2.
2x = -2
/2 /2
x=−1
I hope this helped answer your question! Have a great rest of your day!
Furthermore,
Chris
