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

, where
= Population standard deviation.
n= sample size
= Sample mean
z* = Critical z-value .
Given :
n= 49
Two-tailed critical value for 95% confidence interval = 
Then, the 95% confidence interval would be :-




Hence, the 95% confidence interval for estimating the population mean
:

Answer: The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
Let x represent the number of 3-point questions.
Let y represent the number of 5-point questions.
The maths test consists of 24 questions. This means that
x + y = 24
Each question is worth either 3 points or 5 and the test is worth 100 points. This means that
3x + 5y = 100 - - - - - - - - - - -1
Substituting x = 24 - y into equation 1, it becomes
3(24 - y) + 5y = 100
72 - 3y + 5y = 100
- 3y + 5y = 100 - 72
2y = 28
y = 28/2 = 14
Substituting y = 14 into x = 24 - y , it becomes
x = 24 - 14 = 10
Answer:
The answer is 4
Step-by-step explanation:
1/2+(-5/6)= 1 1/3
1 1/3 + 1/4= 1 7/12
The fractions are arranged in order from greatest to least.
Answer:
Step-by-step explanation:
let x = the amount of money in the second piggy back
We assume that the second piggy bank has MORE than the piggy bank with $7.31 in it:
x - 7.31 ≤ 10
<u>Solution</u>
Add 7.31 to both sides: x - 7.31 + 7.31 ≤ 10 + 7.31
⇒ x ≤ 17.31