Answer:
3 (z = 35)
Step-by-step explanation:
(22 + 19) + 104 + z = 180° => triangle sum theorem
41 + 104 + z = 180
145 + z = 180
145 + z - 145 = 180 - 145
z = 35
Answer:
A = 5x + 5
Step-by-step explanation:
Area of Parallelogram Formula: A = bh
Since we are given <em>b</em> = 5 and <em>h</em> = x + 1, simply plug it into the formula:
A = 5(x + 1)
A = 5x + 5
Answer:
The mean is 95 and the standard deviation is 2
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Population:
Mean 95, Standard deviation 12
Samples of size 36:
By the Central Limit Theorem,
Mean 95
Standard deviation 
Answer:
57
Step-by-step explanation:
(-12)(3)(-2)(2)-(-12+3)
Answer:

Step-by-step explanation:
The integral of a function gives you the area under the curve, the subtraction of one of the areas from the other will give you the area in between.
The limits of integration are the points where the curves intersect each other(take the curves has a system of equation and solve for x and y):


The integral will be the subtraction of the curve
and
(In the graph you can see y=3x is the upper curve):
