Y=-2/3-5 That’s the answer change of y is down 2 change in x is 3 to the right . And the y intercept is -5
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:
John work as a security guard job <u>27 hours</u> and as a landscaper <u>33 hours</u>.
Step-by-step explanation:
Given:
John works two jobs.
As a security guard he earns $8.50 per hour and as a landscaper he earns $14 per hour.
One week John worked a total of 60 hours and earned $691.50.
Now, to find hours he work at each job.
Let the job of security guard be 
hours.
And the job of landscaper be 
hours.
So, the total hours John worked in a week:
⇒ 
............( 1 )
<em>Now, the money earned by John in a week:</em>
<em>Putting the equation ( 1 ) in the place of :</em>
⇒ 
⇒ 
<em>Moving variables on one side and the other we get:</em>
⇒ 
⇒
<em>Dividing both sides by 5.50 we get:</em>
⇒ 
<u>As a security guard job he worked 27 hours</u><u>.</u>
Putting the value of in equation ( 1 ) we get:
⇒ 
<u>As a landscaper he worked 33 hours</u>.
Therefore, John work as a security guard job 27 hours and as a landscaper 33 hours.
Y + 4x < 8
y < -4x + 8
2 points that satisfy this are (0,8) and (2,0)....and those happen to be ur x and y intercepts (where the line crosses the x and y axis)
graph...so go ahead and plot ur x and y intercepts (0,8) and (2,0).....ur slope is - 4.....so start at ur y int (0,8) and go down 4 spaces, and to the right 1...plot that point, then go down 4 spaces and to the right 1, then plot that point...keep doing this and u will have ur line...u should have crossed the x axis at (0,2)......ur line will be a dashed line since the problem has no equal sign.... the shading will go below the line because it is less then.
y - 3 > = 1/2x
y > = 1/2x + 3
2 points that satisfy this are : (0,3) and (-6,0)...ur x and y intercepts
graph : plot ur intercepts (0,3) and (-6,0)....u have a slope of 1/2...so start at ur x intercept (-6,0) and go up 1 space, and to the right 2 spaces, plot that point...then go up 1 and to the right 2, plot that point...keep doing this and u will cross the y axis at (0,3)....this line will be a solid line....the shading will go above the line.
The answer is 5.5 m.
Cube
Volume = length x width x height
Since the length, width and the height are the same in cube, the formula can be:
Volume = length^3
Let x metres be the side length of the cube.
166 = x^3
x = ∛166
x = 5.495864.....
x = 5.5 (nearest tenth)
