Answer: 
Step-by-step explanation:





You know when you divide and get a remainder. for example 4/3 is 1 1/4
Answer:
A bus travels with a constant speed of 48 miles per hour. How long will it take to travel 60 miles?
Step-by-step explanation:
Mostly it's 1.25 hours </3 Since distance = rate times , or d = rt, then we have
t = d/r = 60 miles / 48 mph = 1.25 hours = 1 hour 15 minutes
either 1 hour 15 mins or 1hour and 25 mins.
The larger number is 13 and smaller number is 4
<em><u>Solution:</u></em>
Let the larger number be "a"
Let the smaller number be "b"
<em><u>Given that larger of two numbers is twice the smaller increased by five</u></em>
larger number = twice the smaller increased by five
larger number = twice the smaller number + 5
a = 2b + 5 --- eqn 1
<em><u>Also given that three times the larger exceeds double the smaller by 31</u></em>
Here "exceeds" denotes addition and "times" denotes multiplication
"double" denotes being multiplied by 2
three times the larger number = double the smaller number + 31
3a = 2b + 31 ---- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "b"</u></em>
Substitute eqn 1 in eqn 2
3(2b + 5) = 2b + 31
6b + 15 = 2b + 31
6b - 2b = 31 - 15
4b = 16
<h3>b = 4</h3>
From eqn 1,
a = 2b + 5
a = 2(4) + 5
a = 8 + 5
<h3>a = 13</h3>
Thus the larger number is 13 and smaller number is 4
Given:
Sample size, n = 40
Sample mean, xb = $6.88
Population std. deviation, σ = $1.92 (known)
Confidence interval = 90%
Assume normal distribution for the population.
The confidence interval is
(xb + 1.645*(σ/√n), xb - 1.645*(σ/√n)
= (6.88 + (1.645*1.92)/√40, 6.88 - (1.645*1.92)/√40)
= (7.38, 6.38)
Answer: The 90% confidence interval is (7.38, 6.38)