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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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for competition,the cheerleading team,is preparing a dance routine that must last 4 minutes,with a variation of +- 5 seconds. fi
Sonbull [250]

Ideal timeline of the dance routine = 4 minutes = 4 × 60 seconds = 240 seconds

Variation allowed in the dance routine timeline = +- 5 seconds

Let the timeline of the dance routine be T

⇒ 240 seconds - 5 seconds < T < 240 seconds + 5 seconds

⇒ 235 seconds < T < 245 seconds

⇒ \frac{235}{60} minutes < T < \frac{245}{60} minutes

⇒ 3.92 minutes < T < 4.08 minutes

So the least possible time of the dance routine can be 3.92 minutes (or 235 seconds) and the greatest possible time of the dance routine can be 4.08 minutes (or 245 seconds)

3 0
3 years ago
The perimeter of a triangle with two equal sides is 50 cm. If its base were lengthened by 3 cm and each leg were shortened by 4
Nataly [62]

Answer:

Base of the original triangle is 12 cm.

Step-by-step explanation:

Let base of triangle be x  

two equal legs  of triangles by y

therefore perimeter of triangle

                       x+y+y = 50 or x+2y =50

according to the question

 if base is x+3 and leg is y-4

then both are equal

   that is x+3 = y-4

            y-x = 7 or y =x+7

   x+2y =50

   x+2(x+7) = 50

    x+2x +14 =50

     3x +14 =50

     3x = 50 -14

      3x = 36

      x = 12

therefore base of the original  triangle is 12 cm                    

6 0
3 years ago
What is the sun of 185 and h
Ksenya-84 [330]

Answer:

185 + h

Step-by-step explanation:

Question: What is the sum of 185 and h?

Sum means the answer to an addition problem, so we need to add.

185 +  h

This expression can not be simplified any further, so 185 + h is your answer.

Hope this helps :)

3 0
3 years ago
Could someone help with this?
Citrus2011 [14]

the answer is 4 and 7                

3 0
3 years ago
A set of five distinct positive integers has a mean of $1000$ and a median of $100$. What is the largest possible integer that c
mixer [17]

Answer:

e = 4796

Step-by-step explanation:

given,

mean of five distinct positive number = 1000

median of the number = 100

100 is median means two number will be less than 100 and two number will be greater than 100.

let five number be

a , b, c, d, e

'e' should be the largest number

As 100 is median so 'c' = 100.

'a' and 'b' should be as small as possible and d should be the number nearest to 100.

As all the number are distinct so the least number be equal to 1 and 2

now d will be equal to 101 (nearest to 100)

now,

sum of the five number = 5 x 1000 = 5000

a + b + c + d + e = 5000

1 + 2 + 100 + 101 + e = 5000

e = 5000 - 204

e = 4796

hence, the largest number will be equal to e = 4796

7 0
3 years ago
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