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2 years ago

Which table represents a linear function

Mathematics

1 answer:

Slav-nsk [51]2 years ago

6 0

Answer:

Option 1

Step-by-step explanation:

Option 1 is the correct answer, because a linear function goes up on the x and y axes by the same amount. In this case, the x-coordinates increase by 1, and the y-coordinates increase by 4.

You might be interested in

Which expression is equivalent to( 9x^2+2x-7)(-4)

Masteriza [31]

Answer:

I'm pretty sure its B. (9x2+2x-7)(x)+(9x2+2x-7)(-4)

Because its just splitting up the (x-4) and if you add the answers together then you get the same answer as the original

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

kicyunya [14]

Answer:

8.69% probability that at least 285 rooms will be occupied.

Step-by-step explanation:

For each booked hotel room, there are only two possible outcomes. Either there is a cancelation, or there is not. So we use concepts of the binomial probability distribution to solve this question.

However, we are working with a big sample. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

A popular resort hotel has 300 rooms and is usually fully booked. This means that $n = 300$

About 7% of the time a reservation is canceled before the 6:00 p.m. deadline with no pen-alty. What is the probability that at least 285 rooms will be occupied?

Here a success is a reservation not being canceled. There is a 7% probability that a reservation is canceled, and a 100 - 7 = 93% probability that a reservation is not canceled, that is, a room is occupied. So we use $p = 0.93$

Approximating the binomial to the normal.

$E(X) = np = 300*0.93 = 279$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{300*0.93*0.07} = 4.42$

The probability that at least 285 rooms will be occupied is 1 subtracted by the pvalue of Z when X = 285. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{285- 279}{4.42}$

$Z = 1.36$

$Z = 1.36$ has a pvalue of 0.9131.

So there is a 1-0.9131 = 0.0869 = 8.69% probability that at least 285 rooms will be occupied.

8 0

3 years ago

PLEASE PLEASE PLEASE HELP. :(

mart [117]

Integers are like -4,-3,-2,-1,0,1,2,3,4 etc

√49=7, integer

-3⁰=-(3⁰)=-(1)=-1, integer

1.2 times 10⁻²=1.2/100=0.012, not an integer

18/3=6, integer

answer is 3rd one

7 0

3 years ago

Consider the quadratic function: f(x) = -(x+4)(x-1)

Nataliya [291]

Step-by-step explanation:

okay I think you can solve this question

4 0

3 years ago

??? Anyone know how to answer this question

True [87]

Answer: 35 additional teachers are needed

-------------------------------------------------
-------------------------------------------------

Explanation:

We have 2470 students and the ratio of students to teachers is 26:1. This means that for every teacher, there are 26 students. Put another way, we can set up this ratio

2470/x = 26/1

where x is the number of teachers. Cross multiply and solve for x

2470/x = 26/1
2470*1 = 26*x
2470 = 26x
26x = 2470
26x/26 = 2470/26
x = 95

So we have 95 teachers currently

-------------

Let y be the new number of teachers needed to bring the ratio down to 19:1

Using a similar idea as done above, we would have this ratio

2470/y = 19/1

Let's solve for y
2470/y = 19/1
2470*1 = 19*y
2470 = 19y
19y = 2470
19y/19 = 2470/19
y = 130

So we'll need 130 teachers to have the ratio be 19:1

The difference of the values is y - x = 130 - 95 = 35, which is the final answer. This is the additional amount of teachers needed.

5 0

3 years ago

Which table represents a linear function​

Which table represents a linear function