Answer:
0.0903
Step-by-step explanation:
Given that :
The mean = 1450
The standard deviation = 220
sample mean = 1560
P(X> 1560) = P(Z > 0.5)
P(X> 1560) = 1 - P(Z < 0.5)
From the z tables;
P(X> 1560) = 1 - 0.6915
P(X> 1560) = 0.3085
Let consider the given number of weeks = 52
Mean 
= np = 52 × 0.3085 = 16.042
The standard deviation = 
The standard deviation = 
The standard deviation = 3.3306
Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.
Then;
Pr ( Y > 20) = P( z > 20)
From z tables
P(Y > 20) 
0.0903
Answer: h=7
Step-by-step explanation:
By definition the function in vertex form is:
Where (h,k) is the vertex of the parabola.
You must group the terms that contain the same variable in the function:
Complete the square as following:
Now you must rewrite it as following:
Then:
h=7
Answer:
Step-by-step explanation:
Step 1 Answer: Yes, 3
Step 2 Answer: Yes, 5
Step 3 Answer: No
Q1 of company A = 2.5
Q3 of company A = 8
Interquatile range = (Q3 - Q1)/2 = (8 - 2.5)/2 = 5.5/2 = 2.75
Q1 of company B = 2
Q3 of company B = 5.5
Interquatile range = (5.5 - 2)/2 = 3.5/2 = 1.75
Therefore, t<span>he interquartile range for Company A employees is 2 more than the interquartile range for Company B employees.</span>
Answer: 76
Step-by-step explanation:
The angles are congruent on both sides
