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3 years ago

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The system of equations y=2x-1 and y=-1/4x+3 is shown on the graph below. What is a reasonable estimate for the solution?

1 answer:

statuscvo [17]3 years ago

4 0

Answer:

Something close to (1.8,2.6)

Step-by-step explanation:

y=2x-1

y=-1/4 x+3

Since y=2x-1 and y=-1/4 x +3 then 2x-1=-1/4 x +3.

I'm going to multiply both sides by 4 to get rid of the fraction:

8x-4=-x+12

Add x on both sides:

9x-4=12

Add 4 on both sides:

9x=16

Divide both sides by 9:

x=16/9 is approximately 1.8 when put into calculator.

Now if x=16/9 and y=2x-1, then y=2(16/9)-1=32/9-1=32/9-9/9=(32-9)/9=23/9.

y=23/9 is approximately 2.6 when put into calculator.

So we are looking for an ordered pair pretty close to (1.8,2.6).

The graph is shown to you so I will put one here as well:

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A restaurant has an electronic system that randomly selects customers when they pay for their meal to

polet [3.4K]

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

For each customer, 10% probability of receiving a coupon, thus $p = 0.1$ .
2 customers are selected, thus $n = 2$

The probability that <u>neither receives a coupon is P(X = 0)</u>, thus:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.1)^{0}.(0.9)^{2} = 0.81$

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

A similar problem is given at brainly.com/question/25326823

7 0

2 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

nikitadnepr [17]

Answer:

The answer should be 45

Step-by-step explanation:

To get the whole are you would have to multiply the lenght with the Width and then take that answer and multiply it with the height

<u>BUT</u>

because you want the surface area, it would be just the lenght and width

15x3=45

so 45 is your answer.

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2 years ago

Mary can read 10 pages in 20 minutes how fast can she read

Zanzabum

Answer:

Mary can read one page per two minutes.

Step-by-step explanation:

20 divided by 10 equals two

4 0

3 years ago

Read 2 more answers

Help please, an explanation would be greatly appricatated.

Nataly_w [17]

Answer:

x = -5

Step-by-step explanation:

In both questions you want to get the x alone.

1.

-3x + (-6) = 9

First you want to add 6 to both sides so you'll be left with:

-3x = 15

Next, you want to divide both sides by -3 and you'll get:

x = -5

2.

-4x + (-12) = 8

You want to do the same thing as the first one so you'll add 12 to both sides:

-4x = 20

Then, you will divide both sides by -4 and get:

x = -5

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2 years ago

Read 2 more answers

Can inverse operations that undo Another operation

ohaa [14]

Answer:

yes they can

Step-by-step explanation:

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2 years ago