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Elden [556K]
3 years ago
5

On a map, 1 in. represents 12 mi. Two cities are 6 1/2in. apart on the map.

Mathematics
2 answers:
olasank [31]3 years ago
7 0
1 inch = 12 miles

so 6 1/2 inches (or 6.5 inches) = 6.5 * 12 = 78 miles <===
miss Akunina [59]3 years ago
5 0
Just multipy it by 12

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Describe how you can find the prime factorization of a number.
dsp73

You can use a factor tree to find the factorization of a number is to divide out prime numbers only. For example: Number 24 

24

12  2

6    2

3   2

2 is a primer number, so thats why im dividing it by that number

5 0
2 years ago
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
NEED ANSWER ASAP PLEASEEE!!
Leya [2.2K]

Answer:

ST=26

Step-by-step explanation:

RS+ST=RT

17+x+16=4x+3

x+33=4x+3

33-3=4x=x

3x=30

x=30/3

x=10

ST=x+16

ST=10+16

ST=26

7 0
3 years ago
Steve wants to buy a new car and sees $12,000 car for which the dealership will provide 8% financing because of Steve's poor cre
blsea [12.9K]

5000

Step-by-step explanation:

because u have to add

5 0
2 years ago
I need help with this
Aliun [14]

-55+13= -42

94i -12i = 82i

answer = -42+82i

4 0
2 years ago
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