What is the area of a rectangle whose length is 78 feet and width is 26 feet?
1 answer:
You might be interested in
Answer:
Probability that the sample mean would be less than 23,013 dollars is 0.2358.
Step-by-step explanation:
We are given that the mean per capita income is 23,037 dollars per annum with a variance of 149,769.
Also, a sample of 134 persons is randomly selected.
Firstly, Let = sample mean
The z-score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean per capita income = 23,037 dollars p.a.
= standard deviation =
=
= 387 dollars p.a
n = sample of persons = 134
So, probability that the sample mean would be less than 23,013 dollars is given by = P( < 23,013 dollars)
P( < 23,013) = P(
<
) = P(Z < -0.72) = 1 - P(Z
0.72)
= 1 - 0.7642 = 0.2358
The above probability is calculated using the z-score table.
<em>Therefore, probability that the sample mean would be less than 23013 dollars if a sample of 134 persons is randomly selected is 0.2358.</em>
Answer:
<em>She will be paid $1,350</em>
Step-by-step explanation:
<u>Linear Modeling</u>
Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format:
y=mx+b, where m and b are constants.
The payments for a salesperson will be linearly modeled. There are two known points: When the sales were $16,000, the payment was $1,600. This makes the point (16,000;1,600).
We also know when the sales were $12,000, the payment was $1,400. The point is (12,000;1,400)
Let's use the points to find the values of m and b.
Using (16,000;1,600):
1,600=m*16,000+b
Using (12,000;1,400):
1,400=m*12,000+b
Subtracting both equations:
200=16,000m-12,000m
200=4,000m
Solving:
m=200/4,000=0.05
Using the first equation and the value of m:
1,600=0.05*16,000+b
1,600=800+b
Solving:
b=800
The equation is now complete:
y=0.05x+800
She sold $11,000 this month, so the payment is:
Y=550+800=1,350
She will be paid $1,350