A line passes through the points (1, 4) and (3, –4). Which is the equation of the line?

The sum of seven and the quotient of a number x and eight

salantis [7]

7 + (x/8) in written form. I hope this helps! -Dan

6 0

3 years ago

An expirement consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be 4? Expr

ExtremeBDS [4]

Answer:

$\dfrac{1}{12}$

Step-by-step explanation:

Given:

Two fair number cubes i.e. two dice consisting the numbers 1, 2, 3, 4, 5, 6 on their faces and have equal probability of each number.

The dice are rolled.

To find:

Probability of getting the sum of two numbers as 4.

Solution:

First of all, let us have a look at the total possibilities when two dice are rolled:

([1][1], [1][2], [1][3], [1][4], [1][5], [1][6],

[2][1], [2][2], [2][3], [2][4], [2][5], [2][6],

[3][1], [3][2], [3][3], [3][4], [3][5], [3][6],

[4][1], [4][2], [4][3], [4][4], [4][5], [4][6],

[5][1], [5][2], [5][3], [5][4], [5][5], [5][6],

[6][1], [6][2], [6][3], [6][4], [6][5], [6][6])

These are total 36 possible outcomes.

For getting a sum as 4:

Possible number of favorable cases are 3 (as highlighted in BOLD in above)

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Required probability is:

$\dfrac{3}{36} = \bold{\dfrac{1}{12}}$

5 0

3 years ago

Andrew is buying three different colors of tiles for his kitchen floor. he is buying 50 more purple tiles than black tiles, and

lorasvet [3.4K]

- Key -

Black tiles = x
Purple tiles = x+50
Yellow tiles = 5x

-

Total = x + x+50 + 5x = 400
⇒ 7x + 50 = 400
⇒ 7x = 400-50 = 350
⇒ x = 350/7
⇒ x = 50

Black tiles = 50
Purple tiles = 50+50 = 100
Yellow tiles = 5 x 50 = 250

4 0

4 years ago

Use the information frompart a to write an equation representing the number of colories burned each minute while bowling. Let m

Fofino [41]

Answer:

To find the number of calories burned:

Find the Metabolic Equivalent of Task (MET) value of the task.

Calculate the number of calories burned per minute. (MET x body weight in kg x 3.5) / 200.

Multiply the calories burned per minute by the number of minutes of activity.

Now, as per the question, weight is 125 pounds (lb), we will convert the weight in kilogram (kg) which is 1 lb = 0.453 kg, it means 125 lb = 56.7

Now we have to find the MET,

A metabolic equivalent (MET) value is a measurement of the energy cost of a specific physical activity for a specific period of time.

For example. A MET of 1 would be roughly equivalent to a person's energy expenditure from sitting still in a room temperature and not actively digesting food.

As per the Calorie guide value of MET for bowling is 3.9

Now the overall formula is

Calorie Burn (x) = ((MET * body weight in kg * 3.5) / 200) * (Number of minutes) m

x = ((3.9*56.7*3.5)/200) * m

Finally, x = 3.87 m represents the number of calorie burned (x) while bowling m minutes.

8 0

3 years ago

Please answer correctly !!!!!!!will mark 50 points !!!!!!!!!!!!!!!!

kirill115 [55]

This is an infinite loop display

3 0

3 years ago