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3 years ago

Write and equation of the line that passes through the point (2,4) and is perpendicular tothe line hows equation is 3y-6x+3

1 answer:

5 0

First, you need to find the slope of this new line.
It is perpendicular to the given line, which means the slope of this line is the negative reciprocal of this given line, so we need to find out the slope of the equation 3y=6x+3
divide each side by 3, you'll get y=2x+1, so we know the slope is 2, which is 2/1
the slope for the new line should be -1/2, the negative reciprocal of 1/2
Next, use point-slope format to write your equation. Your point is (2,4) and your slope is -1/2, so you have
(y-4)=-1/2(x-2)
If you want to simplify it: y-4=-1/2x+1 => y=(-1/2)x+5

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For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to les

Elza [17]

Answer:

The 95% confidence interval estimate of the true population proportion of U.S. employers that were likely to require higher employee contributions for health care coverage is 0.52 +/- 0.0370

= (0.4830, 0.5570)

The margin of error M.E = 0.0370

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

p+/-z√(p(1-p)/n)

p+/-M.E

Given that;

M.E = margin of error

Proportion p = 52% = 0.52

Number of samples n = 700

Confidence interval = 95%

z value (at 95% confidence) = 1.96

Substituting the values we have;

0.52 +/- 1.96√(0.52(1-0.52)/700)

0.52 +/- 1.96(0.0189)

0.52 +/- 0.0370

( 0.4830, 0.5570)

The 95% confidence interval estimate of the true population proportion of U.S. employers that were likely to require higher employee contributions for health care coverage is 0.52 +/- 0.0370

= (0.4830, 0.5570)

The margin of error M.E = 0.0370

4 0

3 years ago

Please help finding the volume of the cylinder. Extra points and brainiest will be given.

nadya68 [22]

Answer: 141.3/3=47.1 so then 47.1x3.14=147.89400

Step-by-step explanation:

7 0

3 years ago

HELP ASAP The graph shows the relationship between time, in hours, and the population, in thousands of a culture of bacteria. y

Harrizon [31]

Answer:

I’m doing that exact question right now on a test so I just guessed

Step-by-step explanation:

3 0

4 years ago

At a certain hospital 39080 patients had their falls reported in the winter of 2004, thisrose to 42045 patients in the winter of

Natali [406]

Answer:

Percentage rise in patients from 2004 to 2014 = 7.59%

Explanation:

The number of patients in 2004 = 39080

The number of patients in 2014 = 42045

Increase in the number of patients = (The number of patients in 2014) - (The number of patients in 2004)

Rise in the number of patients = 42045 - 39080

Rise in the number of patients = 2965

$\begin{gathered} \text{Percentage rise in patients = }\frac{\text{Rise in the number of patients}}{\text{Number of patients in 2004}}\times100 \\ Percentage\text{ rise in patients = }\frac{2965}{39080}\times100 \\ \text{Percentage rise in patients = }7.59\text{ \%} \end{gathered}$

Percentage rise in patients from 2004 to 2014 = 7.59%

4 0

2 years ago

Use the remainder theorem to find the remainder for

solong [7]

Answer:

Step-by-step explanation:

The remainder theorem says when you are dividing P(x) by (x-c), then the remainder is P(c).

So we need to evaluate x^2+2x-15 for x=3.

3^2+2(3)-15

9+6-15

15-15

So the remainder is 0.

7 0

3 years ago