Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.
For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability, and has variance given by:
[tex]V(X) = np(1 - p)[/tex]
In this problem:
95% pass final inspection, hence [tex]p = 0.95[/tex]120 components are inspected in one day, hence [tex]n = 120[/tex].The variance is given by:
[tex]V(X) = np(1 - p) = 120(0.95)(0.05) = 5.7[/tex]
The variance of the number that pass inspection in one day is 5.7.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
Help help bell help be math ASAP
Answer:
2x + 2 = 28
2x = 26
x = 13
Step-by-step explanation:
How do I subtract fractions? Please explain step by step to get marked!
Answer:
Explained below :)
(I tried my best, sorry if it doesn't make sense.)
Step-by-step explanation:
Example: 1/4 - 1/8= ?
1: Find the common denominator (bottom number)
2: If the common denominator is 8 then you multiply 1/4 by 2/2 to get the denominator of 8. If you needed then you can multiply the other fraction to get the same denominator.
3: Once you get multiply that then you get 2/8 -1/8.
4: Subtract the numerator (top number) 1
5: Keep the numerator (8)
6: Your answer would be 1/8
Which theme is found in this story The Lucky Ticket
Answer:
In "The Lottery Ticket", Chekhov develops the theme that the love of money can destroy one's satisfaction.
Determine if the two triangle are congruent. If they are state how you know
Answer:
aas
Step-by-step explanation:
angle angle and the middle is side
Q.
A circle has a radius of 21 cm. Then determine the area!
EASY
Hello there! :-)
The formula for finding the area of a circle is
[tex]A=\pi r^{2}[/tex]Notice that only the radius is squared.
We are given the radius of the circle: 21 cm.
We plug the value of r into the formula:
A=π(21)²A=π(441)A=1,385 cmHope this helps. Use the comment section to clarify your doubts.
Answered by
~A teen whose hobby is helping people with their homework
#LetItSnow
Good luck.
Answer:
A=1.386 cm²
Step-by-step explanation:
[tex]\sf\bf A = \pi \times r \times r[/tex]
[tex]\sf\bf = \frac{22}{7} \times 21 \times 21[/tex]
[tex]\sf\bf = \frac{22}{\cancel{7}} \times \cancel{21} \times 21[/tex]
[tex]\sf\bf = 22 \times 3 \times 21[/tex]
[tex]\sf\bf = 66 \times 21[/tex]
[tex]\sf\bf = 1.386 \: {cm}^{2}[/tex]
Which graph could potentially have a correlation coeffiecient (r value) of 0.95?
Answer:
C,
Step-by-step explanation:
A and D is incorrect because they are negative correlation
and B is incorrect because a correction of 0.95 means all values are close to each other, but B values are scattered much more that C values
so answer C
write the equation of the line which has the given slope "m" and whivh passes through the given point...
a.(2,10) and m= -4
b.(4,-4) and m=3/2
c.(0,0) and m=3/5
equation of the line which has the given slope "m" and whivh passes through the given point...
a.(2,10) and m= -4
b.(4,-4) and m=3/2
c.(0,0) and m=3/5
the a,b, and c have the same formula
I am doing Khan Academy and I'm stuck on a question that said " What is another way to make 4.65 ? "
I learned it at school but I still need help on that Question.
Answer:
[tex]\frac{465}{100}[/tex] or [tex]\frac{93}{20}[/tex]
Step-by-step explanation:
You can always just multiply the by 100/100 to get any number into a fraction form. I am not sure if this is what you were asking, but here you go. Then you can simplify to get 93/20.
An eight-person relay team completed a race in 96.8 seconds. On average, what was each runner's time?
Answer:
12.1
Step-by-step explanation:
Answer:
12.1 Seconds
Step-by-step explanation:
96.8/8=12.1
Which of the following statements correctly uses the distributive property?
-2(15 - 3) = -2(15) + (-2)(3)
7(9 - 8) = 7(9) - 8
9(-7 + 6) = 9(-7) + 9(6)
-3(12 + 5) = -3(12) - (-3)(5)
Step-by-step explanation:
9(-7 + 6) = 9(-7) + 9(6)
Hope it help !
How to find the derivative???
[tex]e^{2x} = \ln(y^3)\\\\\implies e^{2x} = 3 \ln y\\\\\implies \dfrac{d}{dx} e^{2x} = 3\dfrac{d}{dx}( \ln y)\\\\\implies 2e^{2x} = 3 \cdot \dfrac 1y \cdot \dfrac{dy}{dx}\\\\\implies 3\dfrac{dy}{dx} = 2ye^{2x}\\\\\implies \dfrac{dy}{dx} = \dfrac{2y}3 e^{2x}[/tex]
GIVING BRAINLEST!
What is the location of this point?
y-axis
x-axis
5
Answer:
0,0
Step-by-step explanation:
because it is in the centre of the graph
Simplify 1.25 (-x -4)
Answer:
1.25(-xsquare - 8x + 16)
Step-by-step explanation:
pls give me brainliest
I'm not sure but I think so
Directions: Compare the sides and angles by filling in the blank with a < or > symbol.
Answer:
Number 21 is < number 23 is > number 22 is < and number 24 is >
Step-by-step explanation:
Please look for the question in the picture.
Answer:
-12.5
Step-by-step explanation:
-7x+8+11x=-42
-7x+11x=-42-8
4x=-50
x=-12.5
Hope this helped! :)
Hey There!
Question:-
[tex] \sf \: - 7x+8+11x= - 42[/tex]
We need to find the value of x.
Solution:-
[tex]\sf \longmapsto - 7x + 8 + 11x = - 42[/tex]
Combine Like terms:-
[tex]\sf \longmapsto \: ( - 7x+11x)+(8)= - 42[/tex]
On Simplification :-
[tex]\sf \longmapsto \: 4x +8 = - 42[/tex]
Subtract 8 from both sides:-
[tex]\sf \longmapsto \: 4x+8 - 8= - 42 - 8[/tex]
On Simplification:-
[tex]\sf \longmapsto \: 4x + 0 = - 42 - 8[/tex]
Note that (-) and (-) equals to (+).
[tex]\sf \longmapsto \: 4x = - 50[/tex]
Divide both sides by 4:-
[tex]\sf \longmapsto \: \dfrac{4x}{4} = \dfrac{ - 50}{4} [/tex]
On Simplification:-
[tex]\sf \longmapsto \: \dfrac{ \cancel2x}{ \cancel2} = \dfrac{ \cancel{- 50}}{ \cancel4} [/tex]
[tex]\sf \longmapsto \: x = \dfrac{ - 25}{2} [/tex]
Or in Decimal :-
[tex]\sf \longmapsto \: x = -12.5[/tex]
______________________________________
Henceforth, the value of x is :-
[tex]\boxed{\huge \red{x = - \dfrac{25}{2}}} [/tex]
In Decimal:-
[tex] \boxed{\huge\red{ x = -12.5}}[/tex]
________________________________
Please let me know if you have any questions.
~MisterBrian
a is true but f(x) is wrong need help
Answer:
f(x)=-18x^2
Step-by-step explanation:
Given:
1+Integral(f(t)/t^6, t=a..x)=6x^-3
Let's get rid of integral by differentiating both sides.
Using fundamental of calculus and power rule(integration):
0+f(x)/x^6=-18x^-4
Additive Identity property applied:
f(x)/x^6=-18x^-4
Multiply both sides by x^6:
f(x)=-18x^-4×x^6
Power rule (exponents) applied"
f(x)=-18x^2
Check:
1+Integral(-18t^2/t^6, t=a..x)=6x^-3
1+Integral(-18t^-4, t=a..x)=6x^-3
1+(-18t^-3/-3, t=a..x)=6x^-3
1+(6t^-3, t=a..x)=6x^-3
That looks great since those powers are the same on both side after integration.
Plug in limits:
1+(6x^-3-6a^-3)=6x^-3
We need 1-6a^-3=0 so that the equation holds true for all x.
Subtract 1 on both sides:
-6a^-3=-1
Divide both sides by-6:
a^-3=1/6
Raise both sides to -1/3 power:
a=(1/6)^(-1/3)
Negative exponent just refers to reciprocal of our base:
a=6^(1/3)
Which is an advantage of using a credit card?
A. You can make purchases when you don’t have cash
B. You don’t indulge in impulse buying
C. You don’t have to pay interest
Sammy factored the polynomial x2 + x - 6. She came up with the factors of
(x-3) and (x-2). Describe and correct the error.
Answer:
(x+3) and (x-2) are the correct factors
Step-by-step explanation:
If we expand (x-3)(x-2), we see that it equates to x²-5x+6, which is not what we want. The correct factors would be (x+3)(x-2) since the middle term's coefficient becomes 1 as 3-2=1 whereas -3-2=-5.
May has 10 sticker sheets with 8 stickers each and 15 pages with y stickers each. How many stickers does she have total.
A. (10 x 8) + (15y)
B 10 x ( 9 + 15 + y)
C. 10 + 8 + 15 + y
D, (10 x 15) + (8y)
Answer:
A
Step-by-step explanation:
Match each shape with its area formula.
square: A=s^2
triangle: A=(1/2)bh
rectangle: A=lw
parallelogram: A=bh
3. Use proportional reasoning to answer the following question.
When buying an item, discount is always taken off
before applying tax. How much does a $1200
phone cost with a 35% discount and 10% tax?
Answer:
5000
Step-by-step explanation:
I took the test so that's how I know
What is the value of x in the equation 4
.
+
2
Answer:
x=-3
Step-by-step explanation:
Simplify the ratio:
42 : 28 : 21
Please explain step by step to get marked as brainliest!
Answer:
6:4:3
Step-by-step explanation:
Use 7 to simplify
2. What conclusion can you make from each pair of true statements? State which law
logic you used.
a. If an animal is an omnivore, then it eats both plants and animals. Orangutans are omnivo
b. If an animal is a female mammal, then it produces milk. If an animal produces milk, it
nurse its young.
mammary gland
c. If a species is endangered, then it is likely to become extinct. Giant panda bears are
endangered
Answer:
tried my best!!!!!
Step-by-step explanation:
a) they eat both meat and palnts
b) it nurses its young,and feeds us beings
c) yes it is
Determine the largest integer that makes 2 - 3(x+8) > 12 - x true.
Answer:
2
Step-by-step explanation:
Because if you add 1 to 8 you get 9 then subtract 9 by 7 then and your answer is
id like 75% of my order to be 9 chocolate and the rest vanilla. how many vanilla cupcakes are there
Answer:
3 vanilla
Step-by-step explanation:
If 75% of the order equates to 9 chocolate, then the remaining of the dozen would leave three.
Unless there is more than 12 in the order. The question is vague
Which function is shown in the graph?
Answer:
k(x)=-3/4x+5
Step-by-step explanation:
Simplify the expression
-4 + 3 + 5 =
Answer:
4
Step-by-step explanation:
-4+3=-1
-1+5=4
Surface area of cone 5ft by 21ft
Answer:
417.63
Step-by-step explanation:
A self-storage center has many storage rooms that are 6 feet wide, 10 feet deep, and 12 feet high. What is the volume of the room?
Answer:
720 ft^3
Step-by-step explanation:
6 * 10 *12
v = l * w * h
6 * 10 * 12 = 720
Volume is a three-dimensional scalar quantity. The volume of the self-storage centre room is 720 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a room or box that is the shape of a rectangular prism is calculated by multiplying the length, width, and height of the prism.
Volume = Length × Width × Height
Given that the self-storage centre room's are 6 feet wide, 10 feet deep, and 12 feet high. Therefore, the dimension of the room can be written as,
Length = 10 ft
Width = 6 ft
Height = 12 ft
Now, the volume of the room can be written as,
Volume of the room = 10ft × 6ft × 12ft
= 720 ft³
Hence, the volume of the self-storage centre room is 720 ft³.
Learn more about Volume:
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