7/8 because you subtract them both by either turning them into decimals and subtracting and the
Answer:
198 is the variance for the number of defective parts made each week.
Step-by-step explanation:
We are given the following in the question:
Number of parts produced each week = 20,000
Percentage of defective parts = 1%
We have to calculate the variance for the number of defective parts made each week.
We treat defective part as a success.
P(Defective part) = 1% = 0.01
Then the number defective parts follows a binomial distribution
.
Formula for variance =
Thus, 198 is the variance for the number of defective parts made each week.
Answer:
1584/7 in² ≈ 226.3 in²
Step-by-step explanation:
Given,
- Radius R = 3 in
- Height H = 8 in
- Volume V = ?
We know that,
Volume(Cylinder) = πr²h
Substitute values,
Taking π as 22/7
- 72*22/7
- 1584/7 ≈ 226.3 in²
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
We will be using Pythagoras theorem to solve this problem. This is as this problem forms a right-angle triangle. Pythagoras theorem is the following:
a^2 + b^2 = c^2
Where c = hypotenuse of right-angle triangle
Where a and b = other two sides of right-angle triangle
To begin with, we will substitute the values from the problem into the equation. Then we will make the height of the tree the subject of the equation.
a = height of tree = ?
b = distance from the bird on the ground to the base of the tree = 8 metres
c = distance bird travelled from the ground to the top of the tree = 9 metres
a^2 + b^2 = c^2
a^2 + 8^2 = 9^2
a^2 = 9^2 - 8^2
a = square root of ( 9^2 - 8^2 )
a = square root of ( 81 - 64 )
a = square root of ( 17 )
a = 4.123...
a = 4.1 ( rounded to the nearest tenth )
FINAL ANSWER:
Therefore, the height of the tree is 4.1 metres ( rounded to the nearest tenth ).
Hope this helps! :)
Have a lovely day! <3
Answer:
5.7 units
Step-by-step explanation:
The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).
Use distance formula to calculate distance between P and R:
Let,
Plug in the values into the formula.
(to nearest tenth)
