54=2* 3^3
15=3*5
The smallest number having these numbers is 2*3^3*5=270.
Answer:
a. 95% confidence interval estimate for the population mean amount of paint included in a 1-gallon can is 0.998±0.0055
b. <u>No,</u> because a 1-gallon paint can containing exactly 1-gallon of paint lies <u>within</u> the 95% confidence interval.
c. Yes. The population amount of paint per can is assumed normally distributed, because confidence interval calculations assume normal distribution of the parameter.
d. 90% confidence interval is 0.998±0.0046. The answer in b. didn't change; 1-gallon paint can containing exactly 1-gallon of paint lies <u>within</u> the 90% confidence interval. The manager <u>doesn't have</u> a right to complain to the manufacturer.
Step-by-step explanation:
Confidence Interval can be calculated using M±ME where
M is the sample mean amount of paint per 1-gallon can (0.998 gallon)
ME is the margin of error from the mean
And margin of error (ME) can be calculated using the equation
ME= where
- z is the corresponding statistic in the 95% confidence level (1.96)
- s is the sample standard deviation (0.02 gallon)
- N is the sample size (50)
Then ME=≈0.0055
95% confidence interval is 0.998±0.0055
90% confidence interval can be calculated similary, only z statistic is 1.64.
ME= ≈0.0046
90% confidence interval is 0.998±0.0046
The table is:
Number of washes denoted by x: 0, 8, 12
Amount left on card denoted by y: 30, 18, 12
a.
Write an equation that shows the amount of
dollars left on the card
Solution:
18 – 30 divided by 8 – 0 = -12/8
On simplest form is -3/2
The equation is y = -3/2x + 30
b.
Explain the meaning of the negative slope above.
As the number of car washes increase,
the dollars left on the card decreases.
c.
What is the maximum value of x?
0 = -3/2x + 30
2/3 x 3/2 x = 30/1 x 2/3
Cancel 2/3 x 3/2 and reduce 30 by 3 we get
10, 10 x 2
x = 20
Answer:
just look for the LCM of 6,8,12,9 then that will be your answer
Step-by-step explanation:
1. 2+5x=4x+7
5x-4x=7-2
x=5
2. 4x-5=1+3x
4x-3x=1+5
x=6
3. 8-5x-4=-6x+6
-5x+6x=6-8+4
x=2
4. 4x+8+2x=5x-1
6x-5x=-1-8
x= -9