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Finger [1]
3 years ago
5

What is the slope-intercept from of the equation y+18=2(x-1)

Mathematics
1 answer:
7nadin3 [17]3 years ago
4 0

Answer:

y = 2x - 20

Step-by-step explanation:

Simplfy 2 (x-1)

y + 18= 2x - 2

move all terms contain "y" to the left side

y = 2x - 20

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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
A triangle has an area of 38.4 cm2. The
lisov135 [29]

Answer:

6cm

Step-by-step explanation:

A = \frac{h_b b}{2}

38.4 = \frac{12.8_b b}{2}

b = 2\frac{A}{h_b}

b = 2\frac{38.4}{12.8} = 6

8 0
3 years ago
What is (x - 2) ( x - 2) = 0 in standard form
Morgarella [4.7K]

Answer:

x² -4x +4

Step-by-step explanation:

(x-2)(x-2)

x²-2x -2x +4

x² -4x +4

6 0
3 years ago
Use these clues to guess the mystery number. It is an odd number. It is greater than 142. It is less than 156. Rounded to the ne
Marianna [84]
Could be 154. 154 rounded to nearest ten= 150, rounded to nearest 100= 200
8 0
3 years ago
Read 2 more answers
A race track is made from two straights and two semicircles. The straights are 80m long. The race track has a total perimeter of
Dmitriy789 [7]

Answer:

76.4 m

Step-by-step explanation:

The race track has two straights and two semi circles.

Each straight is 80m

total perimeter for the straights is 80 * 2 = 160m

two semi circles which creates a full circle

perimeter of a full circle = \pi d

NB : (d) is the diameter

therefore we can find the value of the diameter

400 = 160 + \pi d

400- 160 = \pid

240 = \pid

d = 240/\pi

d = 76.394.....

<u>d = 76.4 m</u>

3 0
3 years ago
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