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2 years ago

9

A homeowner uses a $10 bill to pay a neighbor for cutting his lawn. The

1 answer:

timama [110]2 years ago

7 0

Answer:

c

Step-by-step explanation:

It has a constant value.

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The manager of a paint supply store wants to estimate the actual amount of paint contained in 1-gallon cans purchased from a na

lorasvet [3.4K]

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= $\frac{z*s}{\sqrt{N} }$ 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= $\frac{1.96*0.02}{\sqrt{50} }$ ≈0.0055

95% confidence interval is 0.998±0.0055

90% confidence interval can be calculated similary, only z statistic is 1.64.

ME= $\frac{1.64*0.02}{\sqrt{50} }$ ≈0.0046

90% confidence interval is 0.998±0.0046

8 0

2 years ago

Tonia and Trinny are twins.Their friends give them identical cakes for their birthday.Tonia eats 1/8 of her cake and Trinny eats

Licemer1 [7]

Answer: 7 over 24 I think so! Sorry I didn’t reduce

Step-by-step explanation:

5 0

2 years ago

How did the temperature change if: at first it decreased by 10 % and then decreased by 30% ?

MAVERICK [17]

Answer:

Decreased by 40%!

Step-by-step explanation:

At first it goes down by 10%, then 30%, so you just add them together and get decreased by 40%.

8 0

2 years ago

Read 2 more answers

The table shows the percent of successful unmanned missions to Mars by each country or agency to the nearest tenth of a percent.

suter [353]

Answer:

C.) <u>India, the European Space Agency, and Other launched a total of 4.5 percent of the successful missions.</u>

<u></u>

<u>EDGE2021</u>

4 0

2 years ago

A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen

Sergeu [11.5K]

Answer: Cost of each hot dog and bratwursts would be $1.1 and $1.35 each.

Step-by-step explanation:

Since we have given that

Cost of each dozen hot dogs be 'x'.

Cost of each dozen bratwursts be 'y'.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $316.20.

So, the equation would be

$8x+13y=\$316.20$

.The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $375.00.

So, the equation would be

$10x+15y=\$375.00\\\\2x+3y=\$75$

So, the equations becomes

$8x+13y=316.20--------------(2)\\\\(2x+3y=75)\times 4\\\\\implies 8x+12y=300------------(1)$

So, by elimination method, we get that

$8x+13y=316.20\\\\(-)8x+(-)12y=(-)300\\\\--------------\\y=\$16.20$

Put the value of y in the eq(1), we get that

$2x+3y=75\\\\2x+3(16.20)=75\\\\2x+48.6=75\\\\2x=75-48.60\\\\2x=26.4\\\\x=\dfrac{26.4}{2}\\\\x=\$13.2$

Hence, the cost of hot dogs would be $\dfrac{13.2}{12}=\$1.1$

And the cost of bratwursts would be $\dfrac{16.2}{12}=\$1.35$

4 0

2 years ago