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Cloud [144]
3 years ago
7

Suppose you are told that a 95% confidence interval for the average price of a gallon of regular gasoline in your state is from

$3.05 to $3.92. Use the fact that the confidence interval for the mean is in the form x − E to x + E to compute the sample mean and the maximal margin of error E. (Round your answers to two decimal places.)
Mathematics
1 answer:
Cloud [144]3 years ago
8 0

Answer:

The sample mean is 3.48 and the margin of error is 0.44.

Step-by-step explanation:

We know that the confidence interval is written in the form "x − E to x + E", meaning x: sample mean or estimator, and E: margin of error.

To calculate the mean, we can calculate the average of both bounds of the confidence interval:

X=(UL-LL)/2=(3.92+3.05)/2=6.97/2=3.48

With one of the bounds, we can calculate the margin of error E

UL=X+E\\\\E=UL-X=3.92-3.48=0.44

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PLEASE ANSWER ASAP What is the solution of each proportion?
HACTEHA [7]
So first of all they are similar because they are in the same degree and the top and bottom of each one is equal, and so are the left and right. You need to set up a proportion of 10:3.12 and 5:1.2 because those are the sides that match up. They match because if you rotate the second figure to the right it would match the figure on the right. The only available answer then out of 10:3.12 and 5.12 is letter A. Hope this helps comment if you need any more help or it’s confusing.
6 0
3 years ago
Pedro has a total of 645 cents in dollar bills, dimes, and pennies. Which could be the money that he has?
Ivahew [28]

Answer:

a). The total money he has could be the first option (6 one dollar bills, 4 dimes, and 5 pennies)

b). 1,005 cents≠645 cents

c). 60,045 cents≠645 cents

d). 60,405 cents≠645 cents

Step-by-step explanation:

a). Step 1: Consider the total money for the first option

Total money=6 one dollar+4 dimes+5 pennies

where;

6 one dollar=6×1=6 dollars

1 dime=0.10 dollars,

4 dimes=(4×0.1)=0.40 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(6+0.40+0.05)=6.45 dollars

1 dollar=100 cents

6.45 dollars=(6.45×100)=645 cents

The total money he has could be the first option (6 one dollar bills, 4 dimes, and 5 pennies)

b). Step 2: Consider the total money for the second option

Total money=6 one dollar+40 dimes+5 pennies

where;

6 one dollar=6×1=6 dollars

1 dime=0.10 dollars,

40 dimes=(40×0.1)=4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(6+4+0.05)=10.05 dollars

1 dollar=100 cents

10.05 dollars=(10.05×100)=1,005 cents

1,005 cents≠645 cents

c). Step 3: Consider the total money for the third option

Total money=600 one dollar+4 dimes+5 pennies

where;

600 one dollar=600×1=600 dollars

1 dime=0.10 dollars,

4 dimes=(4×0.1)=0.4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(600+0.4+0.05)=600.45 dollars

1 dollar=100 cents

600.45 dollars=(600.45×100)=60,045 cents

60,045 cents≠645 cents

d). Step 4: Consider the total money for the fourth option

Total money=600 one dollar+40 dimes+5 pennies

where;

600 one dollar=600×1=600 dollars

1 dime=0.10 dollars,

40 dimes=(40×0.1)=4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(600+4+0.05)=604.05 dollars

1 dollar=100 cents

604.05 dollars=(604.05×100)=60,405 cents

60,405 cents≠645 cents

6 0
3 years ago
Consider the graph shown.
Slav-nsk [51]

Answer:

Slope = -1/2

Equation: -1/2x - 1

Step-by-step explanation:

6 0
4 years ago
Juan made $200 after working 10 hours. Jill made $300 in 15 hours. Who makes more money per hour?
kirill115 [55]

Answer:

A. They make the same amount

Step-by-step explanation:

You can use the cross multiplication method to find the answer:

$ hrs

200 × 10

300 15

200 × 15 = 3000

300 × 10 = 3000

8 0
3 years ago
I need help, can you help me?​
GREYUIT [131]

depends....

whats the problem or question?

3 0
3 years ago
Read 2 more answers
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