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2 years ago

A line has a slope of 8 and crosses the y-axis at (0, 12). Express this line in slope-intercept form.

Mathematics

1 answer:

Elina [12.6K]2 years ago

6 0

Answer:

y = 8x + 12

Step-by-step explanation:

Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept.

The problem just handed you everything you need! Awesome!

Replace m with 8. Replace b with 12.

If a line crosses the y-axis at (0, b), then b is the y-intercept.

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suppose that the lifetime of a transistor is a gamma random variable x with mean of 24 weeks and standard deviation of 12 weeks.

emmainna [20.7K]

The probability that the transistor will last between 12 and 24 weeks is 0.424

X= lifetime of the transistor in weeks E(X)= 24 weeks

O,= 12 weeks

The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.

X~gamma( $\alpha ,\beta$ )

E(X)= $\alpha \beta$ $\beta$ = $12^{2}/24$ =6 weeks

V(x)= $\alpha \beta ^{2}$ $\alpha$ =24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X, $\alpha$ , $\beta$ , False)

P( $12\leq X\leq 24$ )

P( $12/6\leq G\leq 24/6$ )

P( $2\leq G\leq 4$ )

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4

4 0

1 year ago

Read 2 more answers

What is the area of this parallelogram? the perimeter is 19

Assoli18 [71]

Answer:

its 22 <3

Step-by-step explanation:

a=bh

(area = base x height)

base = 5.5

height = 4

5.5 x 4 = 22 :)

6 0

2 years ago

which of the following gives an equation of a line that passes through the point (6 over 5, -19 over 5) and is parallel to the l

victus00 [196]

One equation for this would be

$y = \frac{41}{16} x-\frac{55}{8}$

We start by finding the slope between the two points:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-\frac{-19}{5}}{-2-\frac{6}{5}}
\\
\\=(-12+\frac{19}{5}) \div (-2-\frac{6}{5})
\\
\\=(\frac{-60}{5}+\frac{19}{5}) \div (\frac{-10}{5}-\frac{6}{5})
\\
\\=\frac{-41}{5} \div \frac{-16}{5}=\frac{-41}{5} \times \frac{-5}{16}=\frac{41}{16}$

A line parallel to this one will have the same slope. We will use point-slope form to write our equation:

$y-y_1=m(x-x_1)
\\
\\y-\frac{-19}{5}=\frac{41}{16}(x-\frac{6}{5})
\\
\\y+\frac{19}{5}=\frac{41}{16}x- \frac{41}{16} \times \frac{6}{5}
\\
\\y+\frac{19}{5}=\frac{41}{16}x-\frac{246}{80}
\\
\\y+\frac{304}{80}=\frac{41}{16}x-\frac{246}{80}
\\
\\y=\frac{41}{16}x-\frac{246}{80}-\frac{304}{80}
\\
\\y=\frac{41}{16}x-\frac{550}{80}
\\
\\y=\frac{41}{16}x-\frac{55}{8}$

6 0

3 years ago

4/7 of students at a school are boys. If there are 2723 students at the school, how many are girls?

zloy xaker [14]

4/7= 0.571
2723 x 0.571= 1554

6 0

2 years ago

Read 2 more answers

Which one of the relationships described is not proportional?

ivann1987 [24]

Answer:

Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?

Step-by-step explanation:

i just did it

8 0

2 years ago

A line has a slope of 8 and crosses the y-axis at (0, 12). Express this line in slope-intercept form.​

A line has a slope of 8 and crosses the y-axis at (0, 12). Express this line in slope-intercept form.