About 68% of the people will score between 85 and 115.
The values of 85 and 115 are exactly 15 points away, or 1 standard deviation, away from the mean.
According to the empirical rule, about 68% of the values in a normal distribution are within 1 standard deviation of the mean.
Okay, so let's go over multiplying negative numbers. A positive times a positive is a positive, right? But a negative times a negative is also a positive. Only a negative times a positive (or a positive times a negative) gives you a negative number. So, we know that one of our 2 numbers in this question must be negative; the other must be positive.
Let's now take a look at the factors of -147, starting with the positives. Obviously, -147 and 1 are factors: -147 * 1 = -147. What other factors of -147 are there?
What about 7? Try it: -147 / 7 = -21. So here are two factors: -21, and 7. They multiply to -147. Do they add up to -14? Let's see: -21+7 = 7+(-21) = 7-21= -14. Yup, that works!
Answer: -21 and 7
Answer:
6. 16 meters^2, 16 meters
7. 100 milimieters^2, 40 milimeters
9. 56 centimeters^2, 30 centimeters
10. 49 inches^2, 28 inches
11. 9 meters^2, 12 meters
12. 72 yards^2, 36 yards
Step-by-step explanation:
s is for a square
A=s^2
P=4s
l+w is for a rectangle
A=lw
P=2l+2w
6. A=4^2
A= 16 meters^2
P=4*4
P= 16 meters
7. A=10^2
A=100 milimieters^2
P=4*10
P= 40 milimeters
9. A=8*7
A= 56 centimeters^2
P=2(8)+2(7)
P=30 centimeters
10. A=7^2
A=49 inches^2
P=4*7
P=28 inches
11. A= 3^2
A=9 meters^2
P=4*3
P= 12 meters
12.
A=12*6
A=72 yards^2
P= 2(12)+2(6)
P= 36 yards
Let me know if you have any questions. Also, don't forget units!
Answer:
Given functions,
Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))
Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))
Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))
Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)
