Answer: 
Step-by-step explanation:
The confidence interval for population mean is given by :-

Given : Sample size : n= 35 , large sample (n>30)
Mean difference : 
Standard deviation : 
Significance level : 
Critical value : 
Now, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students will be :-

Hence, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students = 
Answer:
shown below.
Step-by-step explanation:
v = 150 since 180 - 30
for w we need 2y and x. the base angles of the triangle are 30 and 50 therefore x = 100. 2y = 30 because corresponding angles. ergo, w = 50
x = 100
y = 15
z = 50
Answer:
x = -64
Step-by-step explanation:
Step 1: Write out equation
9 - 3/4x = 57
Step 2: Subtract 9 on both sides
-3/4x = 48
Step 3: Multiply both sides by -4/3
x = -64
Answer:
0.538
Step-by-step explanation:
7 divided by 12 = 0.538