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2 years ago

Find the equation of the line that is perpendicular to y=-2x-9 and contains the points (8,-4)

1 answer:

6 0

The slope of the given line is -2, and since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/2.

Substituting into point-slope form,

$y+4=\frac{1}{2}(x-8)\\\\y+4=\frac{1}{2}x-4\\\\\boxed{y=\frac{1}{2}x-8}$

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Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n equals

Alekssandra [29.7K]

Answer:

(0.767,0.833)

Step-by-step explanation:

The 95% confidence interval for population proportion p can be computed as

$p-z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }$

The z-value associated with 95% confidence level is 1.96.

whereas p=x/n

We are given that x=440 and n=550.

p=440/550=0.8

$0.8-1.96\sqrt{\frac{0.8(0.2)}{550} }$

$0.8-1.96\sqrt{\frac{0.16}{550} }$

$0.8-1.96\sqrt{0.00029 }$

$0.8-1.96(0.01706)$

$0.8-0.03343$

$0.76657$

Thus, the required confidence interval is

0.767<P<0.833 (rounded to 3 decimal places)

Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)

3 0

3 years ago

Why do you think rates are usually written as unit rates?

stellarik [79]

Coooooooooooooooooooooool

6 0

3 years ago

Read 2 more answers

PLEASE HELP ILL GIVE BRAINLIEST

cestrela7 [59]

Yea I wanna say you have the right answer

8 0

3 years ago

Georges age increased by 15 is 7 less than 3 times age how old is george

Kamila [148]

X+15 = 3x - 7 => 22 = 2x => x=11

8 0

3 years ago

2y to the power of 4 x 5y to the power of 3

Yakvenalex [24]

Answer:

(2•5y to the 7th power)

Step-by-step explanation:

Step 1: (2y to the 4th power • 5) • y to the 3rd power

Step 2: (2•5y to the 4th power) • y to the 3rd power

Step 3: 3.1 y to the 4th power multiplied by y to the 3rd power = y to the (4 + 3) power = y to the 7th power

Final answer: (2•5y to the 7th power)

6 0

3 years ago