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klemol [59]
3 years ago
7

The area of a rectangle is 440 square inches. The length of the rectangle is 29 inches more than its width. What is the length o

f the rectangle?
Mathematics
1 answer:
Andreyy893 years ago
3 0
The length of regtangle is 40 inches
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Find the confidence interval with a 90% level of confidence. In October 2010, Gallup Poll asked 510 randomly sampled adults the
ratelena [41]

Answer:

90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].

Step-by-step explanation:

We are given that in October 2010, Gallup Poll asked 510 randomly sampled adults the question, "Generally speaking, do you believe the death penalty is applied fairly or unfairly in this country today?"

Of these, 58% answered "fairly", 36% said "unfairly" and 7% said they didn't know.

Firstly, the Pivotal quantity for 90% confidence interval for the population proportion is given by;

                              P.Q. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion who answered death penalty "fair" = 58%

           n = sample of adults = 510

           p = population percentage

<em>Here for constructing 90% confidence interval we have used One-sample z test for proportions.</em>

<u>So, 90% confidence interval for the population percentage, p is ;</u>

P(-1.645 < N(0,1) < 1.645) = 0.90  {As the critical value of z at 5% level

                                                   of significance are -1.645 & 1.645}  

P(-1.645 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.645) = 0.90

P( -1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \hat p-p < 1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.90

P( \hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.90

<u>90% confidence interval for p</u> = [\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ,\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }]

             = [ 0.58-1.645 \times {\sqrt{\frac{0.58(1-0.58)}{510} } } , 0.58+1.645 \times {\sqrt{\frac{0.58(1-0.58)}{510} } } ]

             = [0.544 , 0.616]

Therefore, 90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].

6 0
3 years ago
Please help! You don’t have to show work
Ad libitum [116K]

Answer:

It is Number 1 A

Step-by-step explanation:

3 0
3 years ago
Lena has $2800 dollars in her account and makes automatic $700 monthly payments on a cell phone bill. Use a table to find when a
nataly862011 [7]

Answer:

Well you can't go thur a month because $700 by 12 months is $8400.

Step-by-step explanation:

700 x 12 = 8400

8400 - 2800 = -5600

So you would be negitative.

3 0
3 years ago
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What is the solution to the system of equations represented by these two lines?
zepelin [54]
The solution is (3,2) cause both of the lines intersect at one point (which is a solution),and that point is (3,2) :)
3 0
3 years ago
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Help me out please!!!!!!!
Dimas [21]

Answer: The missing side is 6mm.

Step-by-step explanation: For 18mm to drop to 12mm, it dropped 6mm. Therefore, the missing side was 12mm, and if you drop 6mm, you get 6mm.

3 0
3 years ago
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