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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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How many seconds are in 10 hours
enot [183]
There are 60 seconds in a minute.

There are 60 minutes in an hour.

This means that there'd be 600 minutes in 10 hours.

And if there are 60 seconds in a minute, there are 600 x 60 seconds in 600 minutes.

600 x 60 = 600 x 10 x 6 = 6000 x 6 = 36000

So we know that there are 36000 seconds in 10 hours.
5 0
3 years ago
Read 2 more answers
Coffee beans worth $ 10.50 $10.50 per pound are to be mixed with coffee beans worth $ 13.00 $13.00 per pound to make 50 50 pound
MAVERICK [17]

Answer: 30 pounds of coffee beans worth $10.50 per pound was used.

20 pounds of coffee beans worth $13.00 per pound was used.

Step-by-step explanation:

Let x represent the number of coffee beans worth $10.50 per pound that should be mixed.

Let y represent the number of coffee beans worth $13.00 per pound that should be mixed.

50 pounds of beans worth $11.50 per pound is to be made. The total cost of the mixture would be

50 × 11.5 = 575

This means that

10.5x + 13y = 575 - - - - - - - 1

The total number of pounds of each type of coffee used is 50. This means that

x + y = 50

Substituting x = 50 - y into equation 1, it becomes.

10.5(50 - y) + 13y = 575

525 - 10.5y + 13y = 575

- 10.5y + 13y = 575 - 525

2.5y = 50

y = 50/2.5 = 20

x = 50 - 20= 30

6 0
3 years ago
What does 1 5/6 × 2 equal
kotykmax [81]
Make it a improper fraction first.
11/6 * 2 = 22/6
Which is 3 2/3
4 0
3 years ago
Read 2 more answers
Length of the median CP
ehidna [41]

Given:

ΔABC \sim ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}

$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}

Do cross multiplication.

$\Rightarrow 12(2x+8)=16(3x-12)

$\Rightarrow 24x+96=48x-192

Add 192 on both sides.

$\Rightarrow 24x+96+192=48x-192+192

$\Rightarrow 24x+288=48x

Subtract 24x from both sides.

$\Rightarrow 24x+288- 24x=48x- 24x

$\Rightarrow 288=24x

Divide by 24 on both sides.

⇒ 12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

     = 36 - 12

     = 24

The length of median CP is 24.

7 0
3 years ago
John is five years older than his sister. The product of their present ages is 150.
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Took 3 of us in grade 10 but johns present age is 77.5 and his sister is 72.5
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