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KengaRu [80]
3 years ago
12

If g(x) = 5x + 16; then g(-2) =

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

Answer:

6

Step-by-step explanation:

g(x)= 5x + 16

g(x)= 5(-2) + 16

g(x)= -10 + 16

g(x)= 6

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Find the midpoint of the line segment joining points A and B.<br> A(2,- 7); B(2,3)
Ad libitum [116K]

Answer: (2, -2)

Step-by-step explanation:

\left(\frac{2+2}{2}, \frac{3-7}{2} \right)=(2,-2)

8 0
1 year ago
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(Please answer ASAP) (Thank you &lt;3)<br><br> What is the relative frequency for Group A.
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⦁ In a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football. Construct a 95% confiden
fomenos

Answer:

95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

Step-by-step explanation:

We are given that in a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football.

Firstly, the pivotal quantity for 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is given by;

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

where, \hat p = proportion of adults in the United States whose favorite sport to watch is football in a sample of 1219 adults = \frac{354}{1219}

           n = sample of US adults  = 1291

           p = population proportion of adults

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5%

                                                    significance level are -1.96 & 1.96}

P(-1.96 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } < {\hat p-p} < 1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } ) = 0.95

P( \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } < p < \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } ) = 0.95

<u>95% confidence interval for p</u> = [ \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } , \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } ]

                         = [ \frac{354}{1219}-1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} } , \frac{354}{1219}+1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} } ]

                         = [0.265 , 0.316]

Therefore, 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

5 0
3 years ago
Patriciodeposits $500 in the same account that pays a 1.5% simple interest he does not withdraw any money from the account any m
olga nikolaevna [1]

Answer: $537.5

Step-by-step explanation:

$500 at 1.5% for 5 years

p x  r x t = i

500 x 0.015 x 5= 37.5

37.5+500=537.5

7 0
3 years ago
Choose the values of the range given the function below. {(-1, -3), (5,7). (8. -4), (-7, 3), (-5, 11)}​
lyudmila [28]

Answer:

the answer is 53454

Step-by-step explanation:

1+1=1

6 0
2 years ago
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