7) hn) = n+1 g(n) = n³+n Find (hog)(n) n+n

Find the slope of the line in the image below.

LenKa [72]

Solution:

It should be noted:

Slope = Rise/Run

Using the formula:

Slope = Rise/Run
=> Rise = 1; Run = 2
=> Slope = 1/2

Correct option is A.

3 0

2 years ago

⦁ 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

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

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

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

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

= [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

Lisa bought stock three years ago and sold it today for a profit of $1,200. this is a _____.

goldenfox [79]

Well if you are looking for the profit margin we need how much is was when she bought it, because it doesn't say, you can't say It's a increase or a decrease, so you could say this is a investment.
But considering you put this under mathematics I assume there is more to this question you forgot to post.

8 0

3 years ago

Convert the measurements as indicated 4^1/4 ft to inches

Nadya [2.5K]

Answer:

Step-by-step explanation:

if it is (4)^(1/4) ft.

$4^{\frac{1}{4} } =(2^2)^{\frac{1}{4} }\\=2^{\frac{2}{4} }\\=\sqrt{2} ft\\=12\sqrt{2} ~inches.\\\approx 16.97 inches$

if it is (4^1)/4

then

$\frac{4^1}{4} =\frac{4}{4} =1 ~ft=12~inches$

3 0

2 years ago

I need help with 8–4 + 9 x 12

Alenkasestr [34]

Answer:

112

Step-by-step explanation:

8–4 + (9 x 12)

8–4 + 108

112

3 0

2 years ago

7) hn) = n+1 g(n) = n³+n Find (hog)(n) n+n​

7) hn) = n+1 g(n) = n³+n Find (hog)(n) n+n