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andreyandreev [35.5K]
3 years ago
7

Write an equation for the graph. *slope intercept form*​

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
8 0

Answer:

y = 3x - 4

Step-by-step explanation:

The line crosses the y-axis at -4. The line goes 3 down and 1 left.

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What is the value of x?
lesantik [10]
50.6
\frac{x}{72.6 }  =  \frac{46.2 - 14}{46.2}
x = 32.2 \times 72.6  \div 46.2
x = 50.6


8 0
3 years ago
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.0 and 58.
Yanka [14]

Answer: 0.025

Step-by-step explanation:

Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between the interval [48.0 minutes, 58.0 minutes].

The probability density function :-

f(x)=\dfrac{1}{58-48}=\dfrac{1}{10}

Now, the probability that a given class period runs between 50.25 and 50.5 minutes is given by :-

\int^{50.5}_{50.25}\ f(x)\ dx\\\\=\int^{50.5}_{50.25}\ \dfrac{1}{10}\ dx\\\\=\dfrac{1}{10}|x|^{50.5}_{50.25}\\\\=\dfrac{1}{10}\ [50.5-50.25]=\dfrac{1}{10}\times(0.25)=0.025

Hence, the probability that a given class period runs between 50.25 and 50.5 minutes =0.025

Similarly , the probability of selecting a class that runs between 50.25 and 50.5 minutes = 0.025

5 0
3 years ago
Given a rectangular pyramid and a rectangular prism that have the same base and same height, how do their volumes compare? If th
Evgen [1.6K]

Answer:

Part 1) The volume of the prism is 3 times greater than the volume of the pyramid

Part 2) The prism would fill only one-third

Part 3) The cylinder and the cone

Step-by-step explanation:

Part 1) How do their volumes compare?

we know that

The volume of a rectangular prism is equal to

Vprism=BH

where

B is the area of the base of rectangular prism

H is the height of the prism

The volume of a rectangular pyramid is equal to

Vpyramid=\frac{1}{3}BH

where

B is the area of the base of rectangular pyramid

H is the height of the pyramid

Compare the volumes

Vprism=BH -----> equation A

Vpyramid=\frac{1}{3}BH -----> equation B

substitute equation A in equation B

Vpyramid=\frac{1}{3}Vprism

Vprism=(3)Vpyramid

The volume of the prism is 3 times greater than the volume of the pyramid

Part 2) If the pyramid was full of water, how much of the prism would it fill up?

Remember that

Vpyramid=\frac{1}{3}Vprism

therefore

The prism would fill only one-third

Part 3) Name another pair of three-dimensional objects that have a relationship similar to this

we have the cylinder and the cone

The volume of the cylinder is equal to

Vcylinder=\pi r^{2}h

The volume of the cone is equal to

Vcone=\frac{1}{3}\pi r^{2}h

Compare the volumes

Vcylinder=(3)Vcone

The volume of the cylinder is 3 times greater than the volume of the cone

3 0
4 years ago
What is the product?
Eddi Din [679]

Answer:

\boxed{2 {x}^{2}  - 8x}

Step-by-step explanation:

2x(x - 4) = (2x \times x) - (2x  \times 4) \\  \\  \:  \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = 2 {x}^{2}  - 8x

6 0
3 years ago
Read 2 more answers
In the triangle shown below, which altitude length can be found without using the Distance Formula? What is the length?
Alika [10]

Answer:

a

Step-by-step explanation:

The altitude from N to LM

N is vertically below LM, thus the units can be counted directly, that is 6 units

5 0
3 years ago
Read 2 more answers
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