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Dmitry [639]
3 years ago
11

14 is equal that -14?

Mathematics
1 answer:
snow_lady [41]3 years ago
8 0
Yea is equal but, it is the opposite of 14 plus and 14 minus
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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
How do I find the value of X
sesenic [268]
You could either:
a) Use the Pythagorean Theorem
b) Use Sine/Cosine/Tangent Inverse to find one of the angles, and then use that angle to find x.
5 0
3 years ago
Read 2 more answers
Keisha needs to save $331. To earn money she plans to babysit and charge $11 per hour. Write two estimates Keisha could use to d
Maru [420]
M=11h, let M=331
so 331/11=h
4 0
3 years ago
Read 2 more answers
Geometry help greatly needed, check photo for more information! &lt;3
vlabodo [156]

Answer:

\huge\boxed{\sf x = 55\°}

Step-by-step explanation:

When a quadrilateral is inscribed in a circle, the opposite angles of it add up to 180 degrees.

Here,

∠DCB + ∠DAB = 180 (Opposite angles of a quad inscribed in a circle.)

<u>Given that:</u> ∠DCB = 135° and ∠DAB = x

135 + x = 180

Subtract 135 to both sides

x = 180 - 135

x = 55°

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
8 0
2 years ago
You are saving to buy a bicycle; so far you save 55.00. the bicycle costs 199.00. you earn 9.00 per hour at your job. which ineq
Ray Of Light [21]

Answer:

You need to work 16 more hours to buy a bicycle.

Step-by-step explanation:

199(the cost of the bike) - 55(already have) = 144

144 ÷ 9(earn per hour) = 16

5 0
3 years ago
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