Find the distance between points (3,6) and (9,2)

Omg please help if you can giving extra points

solniwko [45]

<h3>Answer: 285, choice A</h3>

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Explanation:

x = number of attendees

y = cost

If you increase the number of attendees (x) by 15, then the cost (y) goes up by 105. We see this by subtracting the values

30 - 15 = 15

495 - 390 = 105

Divide the change in cost over the change in people. So we have 105/15 = 7

The 7 represents the unit rate, which is the amount of money it costs for one person. Each time we add a person, it costs $7. So we can say "it costs 7 dollars per person"

At 7 dollars per person, 15 people will be charged 15*7 = 105. However, the table shows $390 is the actual cost. So 390 - 105 = 285 is the base cost

Or you can use the second column. If we had 30 people, then 7*30 = 210 is the cost without the base cost added on. The table shows 495, so 495-210 = 285 which is the same answer as before.

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Alternative method

This method involves more equations and algebra

First use the slope formula. You can use any two points from the table. I'm going to use (15, 390) and (30, 495)

m = slope

m = (y2-y1)/(x2-x1)

m = (495-390)/(30-15)

m = (105)/(15)

m = 7 <<--- this is the unit rate, aka cost per person

Use the slope and one of the points to find the y intercept

y = mx+b

y = 7x+b

390 = 7(15)+b

390 = 105+b

105+b = 390

b = 390-105

b = 285 <<-- this is the y intercept, aka base cost

The base cost is the price you pay to get in the door. This cost stays the same no matter how many people are in your party. The equation would be y = 7x+285. Note how plugging in x = 15 leads to y = 390. At the same time, plugging in x = 30 leads to y = 495.

6 0

3 years ago

Questions 33-36 I don’t know how to find the answer and I need help on how I can find the answer

bulgar [2K]

The answer is 90, 25, 155, 115 respectively

4 0

3 years ago

Find the number if : 5/9 of it is 90

Naddik [55]

Answer:

5/9 of 90 = (5/9)(90) = 50

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

ms green tell you that a right triangle has a hypotenuse of 13 and a leg of 5 . She asks you to find the other leg of the triang

Montano1993 [528]

Answer:

$\large \boxed{12}$

Step-by-step explanation:

We can apply Pythagoras' Theorem.

$\begin{array}{rcc}a^{2} & = & b^{2} + c^{2}\\13^{2}& = & 5^{2} + c^{2}\\169& = & 25 + c^{2}\\c^{2}& = & 144\\c & = & \sqrt{144}\\& = & \mathbf{12}\\\end{array}\\\text{The other leg of the triangle is $\large \boxed{\mathbf{12}}$}$

8 0

3 years ago

A doctor is measuring the mean systolic blood pressure of female students at a large college. Systolic blood pressure is known t

Nana76 [90]

Answer:

The correct option is (b).

Step-by-step explanation:

The (1 - α)% confidence interval for population mean (μ) is:

$CI=\bar x\pm z_{\alpha/2}\times\frac{SD}{\sqrt{n}}$

The confidence interval for population mean can be computed using either the z-interval or t-interval.

The t-interval is used if the following conditions are satisfied:

The population standard deviation is not known
The sample size is large enough
The population from which the sample is selected is normally distributed.

For computing a (1 - α)% confidence interval for population mean , it is necessary for the population to normally distributed if the sample selected is small, i.e.n < 30, because only then the sampling distribution of sample mean will be approximated by the normal distribution.

In this case the sample size is, n = 28 < 30.

Also it is provided that the systolic blood pressure is known to have a skewed distribution.

Since the sample is small and the population is not normally distributed, the sampling distribution of sample mean will not be approximated by the normal distribution.

Thus, no conclusion can be drawn from the 90% confidence interval for the mean systolic blood pressure.

The correct option is (b).

5 0

2 years ago