Line is defined by the equation 2 x + y = 4. Which shows the graph of this line?

Answers

Answer 1
Answer: Using the equation 2x + y = 4, we get the following graph.

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Vlad receives $100 for every ten telemarketing calls he makes. This is an example of a ______ schedule of reinforcement. A. variable interval B. 100/10 C. fixed ratio D. fixed interval E. variable ratio

Use the information to find the percent change.Original Amount = 1,250
Amount of Change = 618
Percent Increase =
Amount of Change
Original Amount
The percent change is about???

Answers

Answer:

49.44%

Step-by-step explanation:

1250+618=1868

percentage increase=increase×100%/original amount

p.p=618×100/1250

p.p=49.44%

Answer:

49.4%

Step-by-step explanation:

i got it right on edge:)

Two and ninety-six hundreths in decimal form

Answers

Answer: Two and ninety-six hundredths in decimal form would be 2.96!

Step-by-step explanation:

The ratio of two numbers is 5 to 3. The sum of the numbers is 16. What are the numbers? 8 and 8 9 and 7 15 and 9 10 and 6

Answers

(x)/(y)=(5)/(3)\nx+y=16\n\n(x)/(y)=(5)/(3)\nx=16-y\n\n(16-y)/(y)=(5)/(3)\n5y=3(16-y)\n5y=48-3y\n8y=48\ny=6\n\nx=16-6\nx=10

10 and 6

The ratio of the numbers is 5 : 3 and the numbers are 10 and 6.

Given data:

The first number is x and the second number is y.

The ratio of the two numbers is 5 to 3, which can be expressed as x/y = 5/3.

The sum of the numbers is 16, which can be expressed as x + y = 16.

From the ratio x/y = 5/3:

3x = 5y (equation 1)

From the sum x + y = 16:

x = 16 - y (equation 2)

Now , substitute equation 2 into equation 1 to solve for y:

3(16 - y) = 5y

48 - 3y = 5y

48 = 8y

y = 48/8

y = 6

Substituting the value of y back into equation 2:

x = 16 - y

x = 16 - 6

x = 10

Hence, the numbers are x = 10 and y = 6.

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A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecting a 10 and the coin landing on tails

Answers

Answer:

1/26

Step-by-step explanation:

There are 4 packs in a regular card deck. Hence, we have four 10s.

The probability of selecting a 10 is thus 4/52 = 1/13

The probability of getting the coin to land on its tail is 1/2.

The probability of getting a 10 and a tail flip = 1/2 * 1/13 = 1/26

A random sample of nine college students yielded the following data concerning thenumber of hours per day each student spent in using mobile phone:
5, 2, 7, 5.5, 3.5, 4, 5, 4.5, 4
Estimate the average number of hours per day spent in using mobile phone by the
college students.

Answers

The estimated average number of hours per day spent using mobile phones by college students is approximately 4.5 hours.

To calculate the mean, we sum up all the individual data points and then divide the total by the number of data points. So, in this case, the sum of the data points is:

5 + 2 + 7 + 5.5 + 3.5 + 4 + 5 + 4.5 + 4 = 40.5.

Next, we divide the sum by the number of data points (which is 9 in this case) to find the mean:

40.5 / 9 ≈ 4.5.

Therefore, the estimated average number of hours per day spent using mobile phones by college students is approximately 4.5 hours.

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Average =  Sum of numbers / Number of numbers

Average = (5 + 2 + 7 + 5.5 + 3.5 + 4 + 5 + 4.5 + 4) / 9

Average = 40.5 /9

Average = 4.5

Average = 4.5 hours.

find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. round your answer to the nearest tenth. show all your work

Answers

The answer is 374.4 yards.

There are 2 ways to calculate the area of a a regular hexagon.
It is given:
apothem: b = 10.4 yards
side: a = 12 yards

1. The direct way is to use the formula for the regular hexagon without using an apothem:
A= (3 √(3) )/(2) a^(2)
where
A - the area of the 
hexagon
a - the side of the 
hexagon

Therefore:
A= (3 √(3) )/(2) 12^(2)
A= (3 √(3) )/(2) 144
A= 374.4

2. The indirect way is to sketch the hexagon with 3 diagonals and create 6 triangles. Then, it is necessary to calculate the area of one triangle and multiply it by 6. In this triangle, apothem is actually the height.
The area of the hexagon is:
A = 6 · A₁
where:
A - the area of the hexagon,
A₁ - the area of the triangle

A_(1)= (a*h)/(2)

where
h - height of the triangle.


Since apothem (b) of the hexagon is the height (h) of the triangle, then:
A_(1)= (a*h)/(2)
A_(1)= (12*10.4)/(2)
A_(1)= 62.4

Thus, the area of one triangle is 62.4 yards.

To calculate the area of the hexagon, we will multiply it by 6:
A = 6 · A₁
A = 6 · 62.4
A = 374.4 yards

In both cases, the result is 374.4 yards.The answer is