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3 years ago

Which equation is true for the three pairs of x- and y-values in the table?

Mathematics

1 answer:

noname [10]3 years ago

5 0

Answer:

The answer is -1 - 4x = y

Step-by-step explanation:

We have three points to check each equation

(-1 , 3) , (0 , -1) , (1 , -5)

The point (0 , -1) is the point of y-intercept, so we have only two equations have y-intercept = -1

* -1 + 4x = y and -1 - 4x = y

Now we will check both

-1 + 4(-1) = -1 + -4 = -5 not 3 then its wrong equation

-1 - 4(-1) = -1 + 4 = 3⇒ (-1 , 3)

-1 - 4(0) = -1⇒ (0 , -1)

-1 - 4(1) = -1 - 4 = -5⇒ (1 , -5)

So the equation -1 - 4x = y satisfied the three pairs

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Soil sells for 8 1/4 cents per pound. How much would you save if you bought a 100- pound sack for $7.45?

asambeis [7]

Answer:

$0.80

Step-by-step explanation:

If the 100 pounds was bought separately (of course in real life you will probably not)

= 100 pounds x $0.0825/pound

= $8.25

As you can see it will cost more than if you buy a 100 pound sack.

Cost Difference = $8.25 - $7.45 = $0.80

That means you will save $0.80 from it.

4 0

2 years ago

A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points

igomit [66]

Answer:

Step-by-step explanation:

The distance from B to C is the same as the distance from A to D. Points B and C will both have the same x-value, as do points A and D. Points B and C will have the same difference in y-values (2 -(-2) = 4) that points A and D have.

The distance from B to C is 4 units.

5 0

3 years ago

he probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1034

garri49 [273]

Answer:

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Sharks win, or they do not. The probability of the Sharks winning a game is independent of any other game. This means that the binomial probability distribution is used 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.

The probability that the San Jose Sharks will win any given game is 0.3694.

This means that $p = 0.3694$

An upcoming monthly schedule contains 12 games.

This means that $n = 12$

What is the probability that the San Jose Sharks win 9 games in the upcoming month?

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

$P(X = 9) = C_{12,9}.(0.3694)^{9}.(0.6306)^{3} = 0.0071$

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

6 0

3 years ago

If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability of getting two queens and two kings.

Bingel [31]

<u>Given</u>:

If you are dealt 4 cards from a shuffled deck of 52 cards.

We need to determine the probability of getting two queens and two kings.

<u>Probability of getting two queens and two kings:</u>

The number of ways of getting two queens is $4C_2$

The number of ways of getting two kings is $4C_2$

Total number of cases is $52C_4$

The probability of getting two queens and two kings is given by

$\text {probability}=\frac{\text {No.of fanourable cases}}{\text {Total no.of cases}}$

Substituting the values, we get;

$probability=\frac{4C_2 \cdot 4C_2}{52C_4}$

Simplifying, we get;

$probability=\frac{6 (6)}{270725}$

$probability=\frac{36}{270725}$

$probability=0.000133$

Thus, the probability of getting two queens and two kings is 0.000133

7 0

3 years ago

Mayelle earns $18,000 a year. After a raise, she earns $19,500. What is the percent of increase in pay? Round to the nearest ten

7nadin3 [17]

Answer:

8.3 %

Step-by-step explanation:

Mayelle earns $18000 per year. Mayelle earning is increased by $19500, to calculate the percentage increase in earnings, we divide the difference between earnings after increase and earnings before increase by the earnings before increase and then multiply the result by 100. The percentage increase is given by:

Increase in pay = (Earnings before increase - earnings after increase) / Earnings before increase × 100%

Increase in pay = ($19500 - $18000)/ $18000 × 100% = 8.3 %

3 0

3 years ago