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2 years ago

38. Which equation represents the data in the table?

Mathematics

2 answers:

sergejj [24]2 years ago

6 0

Answer:

C. y = 2x -4

Step-by-step explanation:

We can use the points (0, -4) and (2, 0).

y = mx + b (m is slope, b is y-intercept)

m = delta y / delta x

m = 4 / 2

m = 2

y = 2x + b

We can plug in (2, 0):

0 = 4 + b

b = -4

y = 2x - 4

bazaltina [42]2 years ago

3 0

Answer:

C. y = 2x - 4

Step-by-step explanation:

In this problem, you can use two equations. The equation for slope. y₂-y₁ ÷x₂-x₁ = rise÷run otherwise simplified to m. Next, you need the linear equation, y=mx+b. Where you can directly input the m from the equation for slope. You can use the two points (3,2) and (2,0). 2-0÷3-2 = 2÷1 or 2. 2=m. Putting 2 into the next equation (y=mx+b) you now have y=2x+b.

Next use a point like (2,0) and input the x and y into the equation. (0)=2(2)+b.

0=4+b

-4 -4

-4=b

The equation is now. y=2x-4.

You might be interested in

What is the slope intercept form of an equation that goes through (-3,-5) and slope is 3/7

svet-max [94.6K]

Answer:

Step-by-step explanation:

Point slope form: y−7=34(x−3)

Slope intercept form: y=34x+194..or..y=34x+434

Explanation:

Since you have one point and the slope, you can use the point slope formula, then solve for y to get the slope intercept form, so that you can determine the y-intercept (b). Then you can graph the resulting equation.

Point slope formula

y−y1=m(x−x1), where x1,y1=(3,7), and m=34 is the slope.

Substitute the given values into the formula.

7 0

3 years ago

A small regional carrier accepted 16 reservations for a particular flight with 12 seats. 8 reservations went to regular customer

wolverine [178]

Answer:

a) 32.04% probability that overbooking occurs.

b) 40.79% probability that the flight has empty seats.

Step-by-step explanation:

For each booked passenger, there are only two possible outcomes. Either they arrive for the flight, or they do not arrive. The probability of a passenger arriving is independent of other passengers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Our variable of interest are the 8 reservations that went for the passengers with a 48% probability of arriving.

This means that $n = 8, p = 0.48$

A) Find the probability that overbooking occurs.

12 seats, 8 of which are already occupied. So overbooking occurs if more than 4 of the reservated arrive.

$P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)$

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

$P(X = 5) = C_{8,5}.(0.48)^{5}.(0.52)^{3} = 0.2006$

$P(X = 6) = C_{8,6}.(0.48)^{6}.(0.52)^{2} = 0.0926$

$P(X = 7) = C_{8,7}.(0.48)^{7}.(0.52)^{7} = 0.0244$

$P(X = 8) = C_{8,5}.(0.48)^{8}.(0.52)^{0} = 0.0028$

$P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.2006 + 0.0926 + 0.0244 + 0.0028 = 0.3204$

32.04% probability that overbooking occurs.

B) Find the probability that the flight has empty seats.

Less than 4 of the booked passengers arrive.

To make it easier, i will use

$P(X < 4) = 1 - (P(X = 4) + P(X > 4))$

From a), P(X > 4) = 0.3204

$P(X = 4) = C_{8,4}.(0.48)^{4}.(0.52)^{4} = 0.2717$

$P(X < 4) = 1 - (P(X = 4) + P(X > 4)) = 1 - (0.2717 + 0.3204) = 1 - 0.5921 = 0.4079$

40.79% probability that the flight has empty seats.

4 0

2 years ago

How do I put (1352)⋅(1251)=1562652=117 into a fraction?

Dominik [7]

Answer:1.625=158

Step-by-step explanation:

Answer:

1.625=158

Showing the work

Rewrite the decimal number as a fraction with 1 in the denominator

1.625=1.6251

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000

1.6251×10001000=16251000

Find the Greatest Common Factor (GCF) of 1625 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 125,

1625÷1251000÷125=138

Simplify the improper fraction,

=158

In conclusion,

1.625=158

6 0

2 years ago

I need Help ASAP I will give you brainlest and plus 5 stars ✨✨and plus thanks and 50 points EVeryONe need help this is due today

otez555 [7]

Answer:

IT IS THE LAST ONE

I did this a long time ago

5 0

2 years ago

A dictionary is opened to a random page; the probability that the page is numbered 103.

Goryan [66]

Answer:

Melissa has a student dictionary on her desk. Her dictionary contains 99 pages. In this dictionary, more words start with the letter "S" than any other letter, occupying 11 full pages.

If she opens up the dictionary at random, what is the probability that the page contains words starting with "S"?

8 0

1 year ago