Answer:
Step-by-step explanation:
This is a test of the mean difference between 2 independent groups or populations.
Let μ1 be the mean annual bonus of Company A's employees and μ2 be the mean annual bonus of Company B's employees.
The random variable is μ1 - μ2 = difference in the mean annual bonus of Company A's employees and the mean annual bonus of Company B's employees
We would set up the hypothesis.
The null hypothesis is
H0 : μ1 ≤ μ2 H0 : μ1 - μ2 ≤ 100
The alternative hypothesis is
H1 : μ1 > μ2 H1 : μ1 - μ2 > 100
This is a right tailed test because of the inequality sign at the alternative hypothesis. We need to take samples of annual bonuses from both company's employees and find the averages. Then we would determine the test statistic as well as the p value. We would use the p value with the level of significance to make decisions
The bell curve attached below shows the normal distribution of the data.
We are looking the value of X such as the area to its left gives the probability of 0.75
We first need the z-score which we can obtain by reading from the z-table (as shown in the second picture below)
The z-score is = 0.7734
Then we use the following formula to work out X
z-score = (X - Mean) ÷ Standard Deviation
0.7734 = (X - 100) ÷ 15
0.7734×15 = X - 100
11.601 = X - 100
X = 11.601 + 100
X = 111.601 ≈ 112
Hence the third quartile is 112
4 yrs
Step-by-step explanation:
Formulae for simple interest is;
A= P (1 + rt) Whereby;
A = Total Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
r = Rate of Interest per year in decimal; r = R/100
R = Rate of Interest per year as a percent; R = r * 100
t = Time Period involved in months or years
15300 = 3200 (1 + 106.5/100 *t)
15300/3200 = 1 + 1.065t
4.78125 – 1 = 1.065t
3.78125 = 1.065t
3.78125/1.065 = t
3.55 = t
Rounded off to the nearest whole number;
= 4
Answer:
49 minutes
Step-by-step explanation:
9:50 to 10:00 is 10 minutes
plus the 39 minutes in 10:39
10 + 39 = 49
hope i helped
Answer:

Step-by-step explanation:
If you divide number 1 by number 3, you will notice that number 3 will constantly repeat at the decimal part.
So, the answer is
.