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4 years ago

8

Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope

of −3. y − 6 = −3x − 3 y − 6 = −3(x + 1) y = −3x + 3 3x + y = 3

1 answer:

ad-work [718]4 years ago

4 0

Y-6=-3(x+1) is the correct point slope form

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1. 4x=3y+3, 6y= 8x+ 36.

GaryK [48]

4x=3y+3 and 6y= 8x+ 36 and y=3x-1 and y= 6- x/3

4x=3y+3 and 6y= 8x are parallel and y=3x-1 and y= 6- x/3 are perpendicular.

See the attached plot for answer.

7 0

4 years ago

52,080 divided by 15

lesya692 [45]

Answer:

3472

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Find the midpoint of the segment below and enter its coordinates as an ordered pair. If necessary, express the coordinates as fr

Vladimir [108]

The correct answer is (5/2, -7/2)

3 0

3 years ago

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

algol13

Answer:

(a) The sample size required is 2401.

(b) The sample size required is 2377.

(c) Yes, on increasing the proportion value the sample size decreased.

Step-by-step explanation:

The confidence interval for population proportion <em>p</em> is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hatp(1-\hat p)}{n}}$

The margin of error in this interval is:

$MOE=z_{\alpha/2}\sqrt{\frac{\hatp(1-\hat p)}{n}}$

The information provided is:

MOE = 0.02

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

(a)

Assume that the proportion value is 0.50.

Compute the value of <em>n</em> as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\n=\frac{1.96^{2}\times0.50(1-0.50)}{0.02^{2}}\\=2401$

Thus, the sample size required is 2401.

(b)

Given that the proportion value is 0.55.

Compute the value of <em>n</em> as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.55(1-0.55)}{n}}\\n=\frac{1.96^{2}\times0.55(1-0.55)}{0.02^{2}}\\=2376.99\\\approx2377$

Thus, the sample size required is 2377.

(c)

On increasing the proportion value the sample size decreased.

8 0

4 years ago

Choose the ratio that you would use to convert 6.1 hours to minutes.

lutik1710 [3]

Answer:

Step-by-step explanation:

Let the number of minutes in 6.1 hours be x. Remember that there are 60 minutes in one hour. Therefore,

If 60 minutes = 1 hour,

Then

x minutes = 6.1 hours

Cross multiplying, it becomes

x × 1 = 6.1 × 60 minutes

x = 6.1 × 60 minutes/1

Therefore, the correct ratio with which 6.1 hours would be multiplied is

60 minutes/1 hour

3 0

4 years ago