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Rasek [7]
2 years ago
9

(20 pts) How would I graph a slope that passes through a certain point? Is there a certain equation that could help me? Say for

example I want to graph y=x/4 but have it pass through (-1, -1/3)
Mathematics
1 answer:
Ronch [10]2 years ago
4 0

Answer:

Use point-slope form.

Step-by-step explanation:

Let us say (x1, y1) are the coordinates you want to pass through and m is the slope, you would right it like this:

y-y1=m(x-x1)

In this case, the slope is 1/4 and it passes through (-1, -1/3)

y+1/3=1/4(x+1)

If you want to simplify this, you get

y=x-1/12

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The mean spent on lottery tickets is normally distributed with a mean of $6.50 and a standard deviation of $2.25. If one custome
Natasha_Volkova [10]
First, we have to find the z scores of $4 and $9.50.
Z₁ = ($4 - $6.50)/$2.25 = -1.11
Z₂ = ($9.50 - $6.50)/$2.25 = 1.33

Then, using a z score table, we find the probability of 1.33 and -1.11, and subtract them to determine the probability in between.
0.9082 - 0.1335 = 0.7747 or 77.47%.
7 0
3 years ago
An advertiser goes to a printer and is charged $73 for 100 copies of one flyer and $82 for 400 copies of a similar flyer. Assumi
USPshnik [31]

Answer:

y = 0.03x + 70

Slope here represents the variation in the charges with the change in the number of flyers

Positive slope means that the cost is increasing with increase in number of flyers

Step-by-step explanation:

Given:

for 100 copies advertiser is charged = $73

For 400 copies advertiser is charged = $82

Now,

here the charge is a function of number of flyers

we have the general line equation for a linear relationship as:

y  = mx + c

here m is the slope

c is the constant

for the first case we have

y = $73

x = 100

thus,

73 = 100m + c ...........(1)

for the second case, we have

y = $82

x = 400

thus,

82 = 400m + c ...........(2)

subtracting (1) from (2)

    82 = 400m + c

- ( 73 = 100m + c )

==================

    9 = 300m + 0

or

m = 0.03

substituting the value of slope in equation (1)

73 = 100 × 0.03 + c

73 = 3 + c

or

c = 70

Hence,

the equation is y = 0.03x + 70

here y is amount charged and x are the number of flyers.

Slope here represents the variation in the charges with the change in the number of flyers

Positive slope means that the cost is increasing with increase in number of flyers

3 0
3 years ago
If Aditya can travel 80 km in 2 hours how many kilometres can he travel in 3 and half hours​
ivann1987 [24]

Answer:

distance covered in 2 hours = 80 km

distance covered in 1 hour = 80÷2 = 40 km

distance covered in 7/2 hours = 40 × 7/2

= 140 km

(3 1/2hours = 7/2 hours)

8 0
3 years ago
Which table represents a linear function?
Delvig [45]

Answer:

I would go with the first one.

Step-by-step explanation:

The first one is the only one that increases by the same number. In other words, its slope is constant. A linear function has a constant slope. You can tell that it increases by 1/2 every time.

6 0
3 years ago
For every 6,000 batches of 100 cards that are printed, she examines every 100th batch to make sure the logo is aligned and the m
Gennadij [26K]

Using sampling concepts, the population and the sample are given as follows:

d. population: 6,000 batches of 100 cards sample: every 100th batch.

<h3>What is sampling?</h3>

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a <u>group containing elements of a population</u>. A sample has to be representative of the population, that is, it has to involve all segments of the population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and then:

  • The population is: All New York State residents.
  • The sample is the 1000 randomly selected New York state residents.

Hence, in the situation described the population is the 6,000 batches of 100 cards, while the sample is every 100th batch, hence option d is correct.

More can be learned about sampling concepts at brainly.com/question/25122507

#SPJ1

3 0
2 years ago
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