Answer:
The critical value for a 98% CI is z=2.33.
The 98% confidence interval for the mean is (187.76, 194.84).
Step-by-step explanation:
We have to develop a 98% confidence interval for the mean number of minutes per day that children between the age of 6 and 18 spend watching television per day.
We know the standard deveiation of the population (σ=21.5 min.).
The sample mean is 191.3 minutes, with a sample size n=200.
The z-value for a 98% CI is z=2.33, from the table of the standard normal distribution.
The margin of error is:
With this margin of error, we can calculate the lower and upper bounds of the CI:
The 98% confidence interval for the mean is (187.76, 194.84).
Answer:
Net increment = $108
Step-by-step explanation:
Current wage rate for Brian = $45 per day
number of days Brain is working = 24
Total earning in a month = $45 x 24 = $ 1080
Total increment = 10% of $45
= 0.10 x $45 = $4.5
New wage rate for Brain = $45=$4.5= $49.5
No. of working days = 24
New earning per month = $49.4 x 24 = $1188
Total increment in the earning = $1188- $ 1080
= $108
Answer:
0.75 kilograms
Step-by-step explanation:
All you need to do is move the decimal.
Answer:
96 and 288
Step-by-step explanation:
So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).
Such order independent pairs are (1,7) and (3,5).
Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.
The differences are 6*48=288 and 2*48=96.
We have found difference without finding numbers.
Ans.: 96 and 288
p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)
Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.
Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.
Answer:
20x -22
Step-by-step explanation:
14x-7+3(2x-5)
Distribute
14x -7 +6x -15
Combine like terms
20x -22
