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2 years ago

Select all statements that are true about the linear equation. y=−2x+4

Mathematics

1 answer:

Zolol [24]2 years ago

5 0

Answer:

Statement 3 and Statement 4 are true about linear equation is y=(-2)x+4

Step-by-step explanation:

The given linear equation is y=(-2)x+4

Now,

Statement 1: The graph of the equation is the set of all points on the coordinate plane.

No,

The graph of equation is set of points on the given equation of line.

Statement 2: The point(0,2) lies on the graph of the equation.

No,

The linear equation is y=(-2)x+4

For point (0,2)

2=(-2)0+4

2=4

FALSE, The point (0,2) does not lies on the graph of the equation.

Statement 3: The graph of the equation is the set of points that are solutions to the equation.

Yes,

The given linear equation is line and set of all point lies on the line are solution of the equation.

Statement 4: The point (1,2) lies on the the graph of the equation.

Yes,

The linear equation is y=(-2)x+4

For point (1,2)

2=(-2)1+4

2=2

TRUE, The point (1,2) lies on the graph of the equation.

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Roman55 [17]

Answer:

A:Stratified Sampling

B:Simple Random Sampling

C:Systematic Sampling

D:Cluster Sampling

E:Sampling of Convenience

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

There are four defenders on a soccer team. if this represents 20 percent of the players on the team, which equation can be used

Amiraneli [1.4K]

Given

There are four defenders on a soccer team

if this represents 20 percent of the players on the team

Find out the total number of players on the team.

To proof

As given in question

four defenders on a soccer team

this represents 20 percent of the players on the team

let the total number of players = x

First convert 20% in the decimal form

$\frac{20}{100} =0.20$

Than the equation becomes

0.20x =4

$x = \frac{4}{0.20}$

now solving the above equation

we get

x = 20

thus the total number of players on the team are 20.

Hence proved

8 0

2 years ago

Read 2 more answers

When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounc

Sholpan [36]

Answer:

Hi There!

Answer:

The hot coca mad by Eli is more chocolaty because it has more chocolate in lesser amount of water.

Because, Arjun takes quantity of chocolate = 20 mL

Choice 1.

Arjun takes quantity of water = 33 ounces

The Chocolate to Water ratio is

Chocolate : Water = 20 : 33

Dividing by 20, We get

Chocolate : Water = 1 : 1.65

Choice 2.

Arjun add 1 ml of chocolate in 1.65 ounces of water.

Eli takes quantity of chocolate = 45 mL

Eli takes quantity of water = 66 ounces

The Chocolate to Water ratio is

Chocolate : Water = 45 : 66

Dividing by 45 , we get

Chocolate : Water = 1 : 1.47

Eli add 1 ml of chocolate in 1.47 ounces of water.

So, The hot coca mad by Eli is more chocolaty because it has more chocolate in lesser amount of water.

Good Luck!

6 0

2 years ago

paloma eats 2/8 of an apple in the morning and 3/8 more in the afternoon. how much of an apple did she eat in total

marishachu [46]

Step-by-step explanation:

in this problem, we are solving for the amount of apple that Paloma eats

1. she ate 2/8 of a complete apple -hence the will be a remainder, we will find

that remainder

2. she also ate 3/8 of the remainder for lunch

3. we then proceed to calculate all apple she ate in total

$1. \frac{2}{8} *1= \frac{1}{4} \\\\1-\frac{1}{4}= \frac{4-1}{4} = \frac{3}{4}$

2 she ate 3/8 of the remaining 3/4 apple

$1. \frac{3}{8} *\frac{3}{4} = \frac{9}{32}$

3. in total she ate 1/4+ 9/32

$\frac{1}{4} +\frac{9}{32} = \frac{8+9}{32} = \frac{17}{32}$

6 0

2 years ago

A bank gets an average of 12 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that t

Alina [70]

Answer:

75.76% probability that there will be 10 or more customers at this bank in one hour.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

A bank gets an average of 12 customers per hour.

This means that $\mu = 12$

Find the probability that there will be 10 or more customers at this bank in one hour.

Either there are less than 10 customers, or there are 10 or more. The sum of the probabilities of these events is 1. Then

$P(X < 10) + P(X \geq 10) = 1$

We want $P(X \geq 10)$

Then

$P(X \geq 10) = 1 - P(X < 10)$

In which

$P(X < 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-12}*12^{0}}{(0)!} \approx 0$

$P(X = 1) = \frac{e^{-12}*12^{1}}{(1)!} = 0.0001$

$P(X = 2) = \frac{e^{-12}*12^{2}}{(2)!} = 0.0004$

$P(X = 3) = \frac{e^{-12}*12^{3}}{(3)!} = 0.0018$

$P(X = 4) = \frac{e^{-12}*12^{4}}{(4)!} = 0.0053$

$P(X = 5) = \frac{e^{-12}*12^{5}}{(5)!} = 0.0127$

$P(X = 6) = \frac{e^{-12}*12^{6}}{(6)!} = 0.0255$

$P(X = 7) = \frac{e^{-12}*12^{7}}{(7)!} = 0.0437$

$P(X = 8) = \frac{e^{-12}*12^{8}}{(8)!} = 0.0655$

$P(X = 9) = \frac{e^{-12}*12^{9}}{(9)!} = 0.0874$

$P(X < 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) = 0 + 0.0001 + 0.0004 + 0.0018 + 0.0053 + 0.0127 + 0.0255 + 0.0437 + 0.0655 + 0.0874 = 0.2424$

Then

$P(X \geq 10) = 1 - P(X < 10) = 1 - 0.2424 = 0.7576$

75.76% probability that there will be 10 or more customers at this bank in one hour.

3 0

2 years ago