Answer:
The probability that X and Y are both positive and that their sum is less or equal to 1 0.64.
Step-by-step explanation:
It is provided that the random variables <em>X</em> and <em>Y </em>follows a standard normal distribution.
That is,
It is also provided that the variables <em>X</em> and <em>Y </em>are statistically independent of each other.
Compute the probability that X and Y are both positive and that their sum is less or equal to 1 as follows:
The mean and standard deviation of <em>X</em> + <em>Y</em> are:
The probability is:
*Use the <em>z</em>-table.
Thus, the probability that X and Y are both positive and that their sum is less or equal to 1 0.64.
Answer:
x=
3
/2
Step-by-step explanation:
12(5x−4.5)=36
(12)(5x)+(12)(−4.5)=36(Distribute)
60x+−54=36
60x−54=36
Step 2: Add 54 to both sides.
60x−54+54=36+54
60x=90
Step 3: Divide both sides by 60.
60x
60
=
90
/60
x=
3
/2
Answer:
76 sq. meters
Step-by-step explanation:
10 · 4 = 40m
2 · 6 = 12m
8 · 6 = 48/2 = 24m
40 + 12 + 24 = 76 sq. meters
Answer:
D
Step-by-step explanation:
A)
3(2) + 4(-2) = -2 2(2)-4(-2) = -8
6 - 8 = -2 4 + 8 = -8
Correct Incorrect
B)
3(6) + 4(-5) = -2 2(6) - 4(-5) = -8
18 - 20 = -2 12 + 20 = -8
Correct incorrect
C)
3(4) + 4(4) = -2
12 + 8 = -2
incorrect
D)
3(-2) + 4(1) =-2 2(-2) - 4(1) = -8
-6 + 4 = -2 -4 - 4 = -8
Correct Correct
Best way is process of elimination
Answer:
The distance covered by the second cyclist in 45 minutes is (3/4·b + 9) miles
Step-by-step explanation:
The given parameters are;
The distance between the two cyclist when they begin biking away from each other = 7 miles
The first cyclist's speed = 12 miles per hour
The second cyclist's speed = 12 + b miles per hour
Therefore, we have;
The equation for distance covered, d = Speed × Time
The distance covered by the second cyclist in 45 minutes, is given as follows;
45 minutes = 3/4 hour
= (12 + b) × 3/4 = (3/4·b + 9) miles
The distance covered by the second cyclist in 45 minutes = (3/4·b + 9) miles.