9:6 is the ratio of tickets he has to the tickets he has used.
Answer:
The answer is 1st point, 1/2×22.0×23.1
Step-by-step explanation:
You can let XY be the base and XZ be the height of the triangle. Then, by using the formula of the area of triangle, A=1/2×base×height to find the expression.
Calculate the value of z and its probability, since with this we can know how likely it is that this will happen.
We have that the mean (m) is equal to 8.3, the standard deviation (sd) 1.2 and the sample size (n) = 15
They ask us for P (x =7.2)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (7.2 - 8.3) / (1.2 / (15 ^ (1/2))
z = -3.55
With the normal distribution table (attached), we have that at that value the approximate probability is:
P (z = -3.55) = 0.0001
The probability is 0.01 %
This affirms that the students do not sleep what the study says because the probability of this happening according to the survey is almost nil.
Answer:
x=3
Step-by-step explanation:
Simplifying
2(6x + 9 + -3x) = 5x + 21
Reorder the terms:
2(9 + 6x + -3x) = 5x + 21
Combine like terms: 6x + -3x = 3x
2(9 + 3x) = 5x + 21
(9 * 2 + 3x * 2) = 5x + 21
(18 + 6x) = 5x + 21
Reorder the terms:
18 + 6x = 21 + 5x
Solving
18 + 6x = 21 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
18 + 6x + -5x = 21 + 5x + -5x
Combine like terms: 6x + -5x = 1x
18 + 1x = 21 + 5x + -5x
Combine like terms: 5x + -5x = 0
18 + 1x = 21 + 0
18 + 1x = 21
Add '-18' to each side of the equation.
18 + -18 + 1x = 21 + -18
Combine like terms: 18 + -18 = 0
0 + 1x = 21 + -18
1x = 21 + -18
Combine like terms: 21 + -18 = 3
1x = 3
Divide each side by '1'.
x = 3
Answer: I am going to die of boredom too
Step-by-step explanation: have an awesome amazing day