The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long. Any washers that do not meet this requirement must be discarded. What percentage of washers will the factory have to discard
Answer:
32%
Step-by-step explanation:
Let x be the mean of the values and σ their standard deviation.
Since the minimum value of the diameter of the washers is 1.53 mm, then
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+
x + σ = 1.65 mm
2x = 3.18
x = 3.18/2
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
-
x + σ = 1.65 mm
-2σ = -0.12
σ = -0.12/-2
σ = 0.06 mm
Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%
This question is based on the percentage. Thus, 32% of washers will the factory have to discard.
Given:
The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.
We need to determined the percentage of washers will the factory have to discard.
According to question,
Let x be the mean and σ be their standard deviation.
The minimum value of the diameter of the washers is 1.53 mm.
Then,
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+ x + σ = 1.65 mm
⇒ 2x = 3.18
We get,
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
- x + σ = 1.65 mm
⇒ -2σ = -0.12
We get,
σ = 0.06 mm
Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.
And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.
Thus, 32% of washers will the factory have to discard.
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A carpenter is measuring a cabinet to
ensure the sides create a right angle.
Determine whether the triangle is a right
triangle
Answer:
It is a right angle triangle.
Step-by-step explanation:
Use the pythagoras theorem. c^2 = a^2 + b^2.
5^2 = 4^2 + 3^2
25 = 16 + 9
25 = 25
What is the resulting cross section if the cheesecake was sliced parallel to its points?
Answer:
Step-by-step explanation:
??What is parallel to a point?
If the cut is parallel to the cut-off point, the cross-section is a rectangle.
Conrad paid $52.26 for a pair of shoes. Michelle paid $3.89 more for a pair of shoes than Conrad paid for his.
Answer:
$60.30
Step-by-step explanation:
Answer:
The answer is $52.26 this is a trick question if you were finding how much Michael pay it will be $56.15
brainliest?
First one to answer this gets BRAINLIEST no cap. (Look at the pic)
Answer:
36.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The formula to solve this is a+b)/2*h
4+5=9
9/2=4.5
4.5*8= 36
(7x^2- 3y)^2 simplify
Answer:
49x^4-42x^2 y+9y^2
Step-by-step explanation:
Answer:
49x^4-42x^2 y+9y^2
Step-by-step explanation:
Thelma and Louise ordered take - out from Belle Taco . Thelma ordered 2 tacos and 1 burrito and paid $ 3.79 . Louise ordered 2 burritos and 1 taco and paid . \$4.58
Answer:
A taco cost $1 while a burrito cost $1.79
Step-by-step explanation:
This may be computed as a set of simultaneous equations
Thelma ordered 2 tacos and 1 burrito and paid $ 3.79
let the cost of a taco be t and a burrito b then
2t + b = 3.79
Louise ordered 2 burritos and 1 taco and paid . \$4.58
t + 2b = 4.58
solve both equations simultaneously
multiply the first by 2
4t + 2b = 7.58
t + 2b = 4.58
subtract 2 from 1
3t = 3
t = 1
t + 2b = 4.58
1 + 2b = 4.58
2b = 4.58 - 1
2b = 3.58
Divide both sides by 2
b = 1.79
A taco cost $1 while a burrito cost $1.79
Which equation is true for the value x = 15?
Answer:
2x-15=15
where x=15
2(15)-15=15
30-15=15
Answer:
2x-15=15
where x=15
2(15)-15=15
30-15=15
i need help what is the area of this composite figure
Answer:
Lol
Step-by-step explanation:
Answer:
104 ft^2
Step-by-step explanation:
5 1/3 + (2 2/3 + 1 1/3)
Please help I will give brainliest
Answer:
A.
Step-by-step explanation:
Rectangle: Length * Width
—> 12 * 2 = 24
Triangle: Base * Height * 1/2
—> 12 * 2 * 1/2 = 12
Matches answer A.
A rectangular garden has an area of 63ft2. The length of the garden is 2 feet more than the width. Find the length and the width of the garden.
Answers:
L = 64
W= 62
Explanation:
help please!!!
given that a^b=x, what is a^b+2?
thanks!! <33
Answer:
xa^2
Step-by-step explanation:
I thought about it for a bit and came up with this:
if you expand a^(b+2) it becomes a^b * a^2
so replace a^b with x.
xa^2
Value of x
Give reasons
Answer:
50 degrees
Step-by-step explanation:
7. A garden contains 284 flowers, each of which is either red or yellow. There
are 5 beds of yellow flowers and 4 beds of red flowers. There are 40 yellow
flowers in each yellow flower bed. If r represents the number of red flowers in
each red flower bed, what equation could you use to represent the number of
red and yellow flowers?
Answer:
284=5(40)+4r
Step-by-step explanation:
Check all that apply?
Answer:
B AND D
Step-by-step explanation:
Please find the square root. Round your answer to the nearest tenth.
√81.4 =
0Answer: 9.0
Step-by-step explanation:
.
lol please help !!!!!!!
Help math eh at t were rhehh
nicholas wants to buy a cd for $200 that earns 3% apr and is compounded quarterly. the cd matures in 5 years. his interest earned will not be reinvested in the cd.what will nicholas total interest be at the date of maturation?
Answer: 30
Step-by-step explanation:
Answer:
the correct answer is $1.50 for me
Step-by-step explanation:
st took the quiz and got this question correct, hope this helps!
Plz tell me if I am correct
Answer:
Yep good job!!!
What is the correct order of operations? *
PEMDAS
O MDPASE
ASPEMD
PASEMD
HELPPPPPPP
Answer:
PAMDAS
Step-by-step explanation:
PEMDAS
hope it helps !
h(x) = -3x + 1 g(x) = 4x + 3 Find h(g(x))
Answer:
-12x -8
Step-by-step explanation:
Substitute g(x) into h(x) so h(4x + 3) = -3(4x +3) + 1 = -12x - 9 + 1 = -12x -8
Find the value of k that makes the function continuous
Answer:
13/3
OR
4.33333
Step-by-step explanation:
For this function to be continuous, the second function must have the value of the limit as x approaches 3 of the first function.
To find [tex]\lim_{x \to 3} \frac{2x^2-3-15}{x-3}[/tex] we have to factor the top of the fraction
2x^2 - 3 -15
2x^2 - 18
2* (x^2 - 9)
2 * (x + 3) (x - 3)
this is perfect because this cancels out the x - 3 on the bottom
so the function become f(x) = 2 * (x + 3)
When 3 is plugged in it becomes 2 * (3 + 3) = 2 * 6 = 12
Now if you plug in 3 to the second function and make it equal to 12, you can find the value of k.
k*(3) - 1 = 12
k*3 = 13
k = 13/3
k = 4.33
PLS HELP I WILL GIVE BRAINLYEST
Answer:
hey
Step-by-step explanation:
pls help me then i help u
WILL MARK! Please help:)
Find x so that this quadrilateral is a parallelogram.
Answer:
46
Step-by-step explanation:
Answer:
46 bc the angles across from each other are the same in a parallelogram
URGENT PLZ HELP
Solve for x. Assume that lines which appear to be diameters are actual diameters.
Answer:
Step-by-step explanation:
This is a central angel so the degree of the angle is equal to the degree of the arc which is 111.
X+114=111
add negative -114 to each side to get X alone.
-114+X+114= 111+-114
X=-3 . Answer negative 3
hey so i need help on my khan so please please please help
Answer:
Step-by-step explanation:
WILL GIVE BRAINLEST This list gives the areas of different garden plots in square meters.
5.5, 6.5, 6.0, 6.0, 6.5, 6.0, 6.5, 7.0, 5.5, 6.5, 5.5, 6.0, 7.0, 5.5, 5.5, 6.5, 6.0, 6.5, 6.5, 6.0, 7.0
Create a line plot to display the data.
To create a line plot, hover over each number on the number line. Then, click and drag up to plot the data.
Answer:
Step-by-step explanation: Let me help
Answer:
i go k 12 i im taking the test rn
Step-by-step explanation:
5.5 6.0 6.5 7.0
3
7
6
5
PLEASE PLEASE HELP!!
Answer:
m <1 = 64
m<2= 26
Step-by-step explanation:
the angle is 90 degree
therefore, <1 + <2 = 90
(x+51) + (2x) = 90
3x +51 = 90
3x = 39
x = 13