Answer:
Step-by-step explanation:
You can solve this two ways: insert the values into point-slope form and simplify to solve for y, converting it to slope-intercept form, <em>or</em><em> </em>insert the values into slope-intercept form, solve for b, and insert b. We'll do both :)
<em><u>Point-slope form:</u></em>
Where:
is the slope
and 
are corresponding coordinate points 
Insert the given values:
Solve for y. Expand the right sie using the distributive property:
Isolate the variable. Subtract 6 from both sides, canceling out the 6 on the left:
<em>OR</em>
<em></em>
<em><u>Slope-intercept form:</u></em>
Where:
- is the slope
is the y-intercept
and 
are corresponding coordinate points
Insert the given values:
Simplify the multiplication:
Solve for b. Add 10 to both sides, canceling out the 10 on the right:
The value of b is 4. Insert the appropriate information into the equation. When using slope-intercept form, you don't plug in the coordinate points:
:Done
Okay, so let's find the actual failure rate first. 6/1000 times 100 (to give over a 100%) equals to 0.6. The actual failure rate is 0.6%. The theoretical probability is 0.2% 0.6-0.2=0.4. The difference is 0.4%.
Hope that helped!
Just divide the number of parts made by the number of hours to get parts per hour. 15 minutes is 1/4 of an hour, so we divide 360 by 0.25 hours:
The Area of the platform is 33m²
Step-by-step explanation:
As the question says, the height of vertex from the base (D from AB) is 7m whereas the height of left vertex from the base (E from AB) is 4m
Thus it means the height of the Δ DCE (DX)= 7-4 ⇒3m
Since the platform is five-sided, the figure can be broken down into constituting parts
- Parallelogram ║ABCE
- Δ DCE
Are of the figure= Area of ║ABCE+ area Δ DCE
Area of ║ABCE= breadth * height
= 6*4 ⇒24m
²
Area Δ DCE= ½*(base)(height)
Putting the value of base is 6m and height as 3m
Area Δ DCE= ½*6*3
=9m
²
Total area= 24+9= 33m
²
He spent <span>150.97 hope this helps :) have a good day</span>
