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ASHA 777 [7]
3 years ago
11

Find the distance between the points (-3, 5) and (6, -7)

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0

Hello,

6 - (-3) = 9

-7 - 5 = -12

\sqrt{9^{2} +(-12)^{2} }  = \sqrt{81 + 144}  = \sqrt{225}  = \sqrt{15^{2} }  = 15

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you are considering 2 jobs. one job pays $250 per week, plus 4.5% commission on all sales. The second job pays $1,800 per month
Hoochie [10]
The correct answer is A. Not only does $250 a week equal $1000 a month but the commission is also higher.

first job: $250wk = $1000 Month + .045 commission 
= $12000 year + .045 commission 
second job = $1800 Month + .03 commission 
= $21600 year + .03 commission 
commission based on sales of $1,000,000 

1,000,000 times .045 = $45000 
1,000,000 times .030 = $30000 

FIRST JOB: $12,000 + $45,000 = $57,000 
SECOND JOB: $21,600 + $30,000 = $51,600 

The answer is definitely A.
5 0
3 years ago
Write an algebraic expression to answer the question below. if 10 calculators cost d dollars, how much, in dollars, does each ca
kupik [55]
It should cost 8 dollars all together.
4 0
2 years ago
A Travel Weekly International Air Transport Association survey asked business travelers about the purpose for their most recent
siniylev [52]

Answer:

(a) P (p' > 0.25) = 0.

(b) P (0.15 < p' < 0.20) = 0.7784.

(c) P (133 < X < 171) = 0.2205

Step-by-step explanation:

Let <em>p</em> = proportion of business trip that were for  internal company visit.

It is provided that 19% responded that it was for an internal company visit, i.e.

<em>p</em> = 0.19.

A sample of <em>n</em> = 950 business travelers are randomly selected.

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}=p

The standard deviation of this sampling distribution of sample proportion is:

\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

Thus, the distribution of \hat p is N (<em>μ</em> = 0.19, <em>σ </em>= 0.013).

(a)

Compute the probability that more than 25% of the business travelers say that the reason for their most recent business trip was an internal company visit as follows:

P (p' > 0.25) = P (Z > 4.62) = 0

*Use a <em>z</em>-table for the probability.

Thus, the probability that more than 25% of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.

(b)

Compute the probability that between 15% and 20% of the business travelers say that the reason for their most recent business trip was an internal company visit as follows:

P (0.15 < p' < 0.20) = P (-3.08 < Z < 0.77)

                               = P (Z < 0.77) - P (Z < -3.08)

                               = 0.7794 - 0.0010

                               = 0.7784

*Use a <em>z</em>-table for the probability.

Thus, the probability that between 15% and 20% of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.7784.

(c)

Compute the proportion of <em>X</em> = 133  and <em>X</em> = 171 as follows:

p' = 133/950 = 0.14

p' = 171/950 = 0.18

Compute the value of P (0.14 < p' < 0.20) as follows:

P (0.14 < p' < 0.18) = P (-3.85< Z < -0.77)

                               = P (Z < -0.77) - P (Z < -3.85)

                               = 0.2206- 0.0001

                               = 0.2205

*Use a <em>z</em>-table for the probability.

Thus, the probability that between 133 and 171 of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.2205.

7 0
3 years ago
Solve the following system of equations graphically on the set of axes below.
eimsori [14]

Answer:

  (x, y) = (3, 5)

Step-by-step explanation:

To solve these equations graphically, you plot each one, then identify the coordinates of the point of intersection.

The first equation can be graphed using the y-intercept of -1 and the slope of 2.

The second equation has a y-intercept of 18/3 = 6, and a slope of -1/3. The x-intercept of 18 is off the chart, so the slope and intercept are a good way to plot this line, too.

__

The slope is the "rise" divided by the "run". A slope of 2 means the line goes up 2 units for each unit to the right. A slope of -1/3 means the line goes down 1 unit for each 3 units to the right.

The solution is (x, y) = (3, 5).

8 0
2 years ago
- 11/5 -2.4 1.6 15/10 - 2.25 in order from least to greatest
tatuchka [14]

Answer (least to greatest):

  1. -2.4
  2. -2.25
  3. -11/5
  4. 15/10
  5. 1.6

I hope this helps!

8 0
3 years ago
Read 2 more answers
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