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Eva8 [605]
1 year ago
15

Question 13 options: What is the slope of the line of the graph?

Mathematics
1 answer:
Elena-2011 [213]1 year ago
3 0

Answer:

Step-by-step explanation:

To find the slope, pick any two points fromthe line.

(2,2)  & (0,-4)

x₁ = 2 & y₁ = 2

x₂ = 0 & y₂ = - 4

\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}

          \sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3

Slope = 3

At y-intercept x = 0.

From the graph, y-intercept = -4

Equation of the line: y = mx + b

y = 3x - 4

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Diano4ka-milaya [45]

9514 1404 393

Answer:

  A.  57 7/9 ft³

Step-by-step explanation:

The volume of a rectangular prism (cuboid) is the product of its dimensions.

  V = LWH

  V = (4 1/3 ft)(3 1/3 ft)(4 ft)

If you drop the fractions, this becomes ...

  V = (4 ft)(3 ft)(4 ft) = 48 ft³

You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.

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If you feel the need to compute the volume exactly, you can do so using improper fractions.

  V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³

3 0
2 years ago
1. The total area within any continuous probability distribution is equal to 1.00.
olchik [2.2K]

Answer:

1. True

2. False.

3. True.

Step-by-step explanation:

1. The total area within any continuous probability distribution is equal to 1.00: it is true because the maximum probability (value) is one (1), therefore, the total (maximum) area is also one (1).

<em>Hence, for continuous probability distribution: probability = area</em>.

2. For any continuous probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: False because it has an infinite number of possible values, which can not be counted or uncountable.

<em>Hence, it cannot be computed. </em>

3. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: True because it has a finite number of possible values, which are countable or can be counted.

<em>Hence, it can be computed. </em>

5 0
3 years ago
Diego made a scale drawing of a theater. The scale of the drawing was 1 inch : 3 feet. The
Artyom0805 [142]

Answer:

The actual stage is 42 feet long

Step-by-step explanation:

Step 1

Determine the conversion factor as shown;

1 inch in the drawing represents 3 feet in the actual drawing

To convert a measurement in inches in the drawing to an actual measurement, we use a conversion factor of 3. In the same way, to convert a measurement in feet in the actual stage to the drawing measurement in inches, we use a conversion factor of (1/3).

Step 2

Convert 14 inches in the drawing to the actual measurement of the stage as follows;

Actual stage length=drawing length×conversion factor

where;

drawing length=14 inches

conversion factor=3

replacing;

Actual stage length=(14×3)=42 feet

The actual stage is 42 feet long

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2 years ago
Identify a solution to this system of equations -4x+3y=23, x-y=-7
Komok [63]

bearing in mind that a solution to a system of equations is where their graph intersect or meets, Check the picture below.

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Answer:

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Step-by-step explanation:

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