Answer:
52 and 45
Step-by-step explanation:
Let's call the two numbers x and y.
x+y=97
x-y=7
Let's add together the two equations:
2x=104
x=52
Since 52-y=7, y must be 45. Hope this helps!
Answer:
Two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.
Step-by-step explanation:
We are given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.65 millimeters and a standard deviation of 0.07 millimeters.
<em>Let X = diameters of bolts produced in a machine shop</em>
So, X ~ N(
)
The z score probability distribution is given by;
Z =
~ N(0,1)
where,
= population mean
= standard deviation
<u>Now, we have to find the two diameters that separate the top 4% and the bottom 4%.</u>
- Firstly, Probability that the diameter separate the top 4% is given by;
P(X > x) = 0.04
P(
>
) = 0.04
P(Z >
) = 0.04
<em>So, the critical value of x in z table which separate the top 4% is given as 1.7507, which means;</em>
= 1.7507
= 5.65 + 0.122549 = 5.77
- Secondly, Probability that the diameter separate the bottom 4% is given by;
P(X < x) = 0.04
P(
<
) = 0.04
P(Z <
) = 0.04
<em>So, the critical value of x in z table which separate the bottom 4% is given as -1.7507, which means;</em>
= -1.7507
= 5.65 - 0.122549 = 5.53
Therefore, the two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.
Answer:
1. c. Convenience Simple
2.d. Random Systematic
3.b. Cluster Stratified
4. a. Sampling Method
Step-by-step explanation:
Each sampling method is different and requires a different approach.
For example, a sample of many people will be a simple sample
However, let's consider this scenario: Pulling 50 names from the hat.
This is a random sample as each name has an equal probaibility of being chosen from the list.
Answer:
11
Step-by-step explanation:
Well since you need two halves to make a whole i did 5*2 and got 10 then added the extra 1/2 and got 11 houses
Answer:
36 square units
Step-by-step explanation: