Answer: the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
Step-by-step explanation:
Given data;
lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min
hence, height = 1 / ( 52.0 - 50.0) = 1 / 2
now the probability that the class length is between 50.8 and 51 min = ?
P( 50.8 < X < 51 ) = base × height
= ( 51 - 50.8) × 1/2
= 0.2 × 0.5
= 0.1 ≈ 10%
therefore the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
Answer:
the answer is 176 hope this helps
Step-by-step explanation:
Answer: absolute value
Step-by-step explanation:
Sorry for my writing it’s horrible ik I’m in a hurry rn lol
Choice 1. He did not square 40, he just multiplied by 2.
Step-by-step explanation:
Step 1:
According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The hypotenuse measures c cm while the other sides are 40 cm and 9 cm each.
Step 2:
According to the Pythagorean theorem,




This is the correct solution to the given problem. Hans did not square 40, he just multiplied by 2. Which is the first option.
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis) - Parallel lines always have the same slope and different y-intercepts
<u>1) Determine the slope (m)</u>

Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides

Divide both sides by -2

Now, we can identify clearly that the slope of the given line is
since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of
as well. Plug this into
:

<u>2) Determine the y-intercept (b)</u>

Plug in the given point (-6,-8)

Add 3 to both sides to isolate b

Therefore, the y-intercept is -5. Plug this back into
:

I hope this helps!