Answer:
0.1902 = 19.02% probability of returning a shipment
Step-by-step explanation:
For each alternator, there are only two possible outcomes. Either it is defective, or it is not. The probability of an alternator being defective is independent of any other alternator, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
1.5% of the alternators will not perform up to specifications.
This means that [tex]p = 0.015[/tex]
Shipment of 100 alternators
This means that [tex]n = 100[/tex]
What is the probability of returning a shipment?
Probability of more than 2 defective, which is:
[tex]P(X > 2) = 1 - P(X \leq 2)[/tex]
In which
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.015)^{0}.(0.985)^{100} = 0.2206[tex]
[tex]P(X = 1) = C_{100,1}.(0.015)^{1}.(0.985)^{99} = 0.3360[/tex]
[tex]P(X = 2) = C_{100,2}.(0.015)^{2}.(0.985)^{98} = 0.2532[/tex]
Then
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2206 + 0.3360 + 0.2532 = 0.8098[/tex]
Then
[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.8098 = 0.1902[/tex]
0.1902 = 19.02% probability of returning a shipment
help no links or any other stuff please
Answer:
z = 2.2
Step-by-step explanation:
[tex]-\frac{z}{0.5} + 1.4 = -3\\\\-\frac{z \times 10}{0.5 \times 10} + 1.4 = -3\\\\-2z + 1.4 = -3\\\\-2z = -3 - 1.4\\\\-2z = -4.4\\\\z = \frac{-4.4}{-2}\\\\z = 2.2[/tex]
Which of the following represents the factorization of the trinomial below?
x2 - 17x+ 30
A. (x-3)(x-10)
B. (x-2)(x+15)
C. (x-2)(x-15)
D. (x-3)(x +10)
What should my answer be?
Write the equivalent of the fraction using a dominator of 35 4/14
Answer:
10/35
Step-by-step explanation:
4*2.5=10
14*2.5=35
4/14=10/35
64 is what percent of 80
Answer:
80%
Step-by-step explanation:
x : 100 = 64 : 80
x = (100 * 64)/80 = 80%
Answer:
80%
Step-by-step explanation:
Is means equals and of means multiply
64 = P * 80
Divide each side by 80
64/80 = P
.8 = P
Change to percent form by multiplying by 100
80% = P
(4-i)-(3-i) in standard form
Answer:
ifeywifheb
Step-by-step explanation:
hkefewib
Five less than Greg's age is less than 23
Answer:
Greg is 28.
Step-by-step explanation:
Greg's age is y.
y - 5 = 23
y - 5 + 5 = 23 + 5
y = 28
WILL GIVE BRAINLIST! PUT THESE NUMBERS ON THE PLOT
Answer:
"fair" srry im only in 8th so im d.u.m
Step-by-step explanation:
1 . ( m →(N v Q)) →((M→N) v (M→Q))
2.((T v U) → V) → (T → (U → V))
. ( m →(N v Q)) →((M→N) v (M→Q))
2.((T v U) → V) → (T → (U → V)) wut tyhe hell is this
Identify the relationship between the graphs of these two equations. y = 5/6x + 5 y = 5/6x - 1
parallel
perpendicular
neither
Answer:
parallel
Step-by-step explanation:
the slope of each line is 5/6 which means the lines are parallel
Can someone please answer this question for me with explanation bc im kinda having a hard time
Answer:
Step-by-step explanation:
First we find out the area of circle, and then subtract the area of triangle from it to find the area of the shaded region
Area of Circle
Here, r=radius
area of circle= π×r²
= π × 5² (radius=half of diameter)
= 25π
= 78.54cm²
Area of Triangle
Here, b=base, h=height
area of triangle = [tex]\frac{1}{2\\}[/tex]×b×h
= [tex]\frac{1}{2}[/tex]×8×6
= 24cm²
Area of shaded region= area of circle - area of triangle
= 78.54 - 24
= 54.54
≈ 54.5cm² [Ans]
Which is an equation for the line that passes through (0, 2) and (-2, 0)?
Answer:
Step-by-step explanation:
(0,2). y=mx+b or 2=-2 × 0+b, or solving for b: b=2-(-2)(0).
Answer:
the required equqtion is x-y=2
Write the following expression in standard place-value form.
Answer:
3408
Step-by-step explanation:
Find the Area of the Shaded Region.
Round to the nearest tenth if necessary.
14 cm
25 cm
11 cm
Answer:
[tex]Shaded = 212.5cm^2[/tex]
Step-by-step explanation:
Given
See attachment
Required
The shaded region
First, calculate the area of the complete rectangle
[tex]Area =Length * Width[/tex]
[tex]Area = 14cm * 25cm[/tex]
[tex]Area = 350cm^2[/tex]
Next, calculate the area of the triangle
[tex]Area = \frac{1}{2} * Base * Height[/tex]
[tex]Area = \frac{1}{2} *25cm * 11cm[/tex]
[tex]Area = 137.5cm^2[/tex]
Subtract the area to calculate the shaded region area
[tex]Shaded = 350cm^2 - 137.5cm^2[/tex]
[tex]Shaded = 212.5cm^2[/tex]
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
The fence around a circular garden is 18 feet long.What is the area of the garden to the nearest square foot?Use 3.14 for pi.
Type the answer in the box
________ square feet
What is the decimal multiplier to increase by 4.3%?
Answer:
1.043
Step-by-step explanation:
Decimal multiplier to increase by x% is computed as:-
100% + x%
The decimal multiplier to increase by 4.3% would be
100% +4.3% = 104.3%
To remove% we divide the number by 100, so the number will become
Hence, The decimal multiplier to increase by 4.3% = 1.043
Please Mark as Brainliest
Hope this Helps
Choose the pair of sets which is equivalent.
Answer and I will give you brainiliest
what pairs of degree measures NOT belong to the
group?
Answer:
B. 56° and 38°
Step-by-step explanation:
The sum of each of the two angles sums up to 90° ;
A.) 13° and 77°
Sum of A ; (13 + 77)° = 90°
B.) 56° + 38°
Sum = 56° + 38° = 94°
C) 37° and 53°
Sum = 37° + 53° = 90°
D.) 42° and 48°
Sum = 42° + 48° = 90°
Hence, the pair of degree measure which does not belong is B. 56° and 38°
In the figure below, YZA and YZX are right angles, XYZ and AYZ are
congruent, and XZ = 10. What is the length of ZA ?
Answer:
10
Step-by-step explanation:
Triangles AYZ and XYZ are congrunt, therefore AZ = XZ = 10
Please help!!! Urgent ….
9514 1404 393
Answer:
ΔWZT ~ ΔWXY
Step-by-step explanation:
Angle XWY and angle ZWT are vertical angles, so congruent.
The sides on either side of those angles are proportional:
WZ/WX = WT/WY
11/22 = 10/20 = 1/2
so, we can claim similarity by the SAS Theorem.
ΔWZT ~ ΔWXY
What is the value of log E 100
Answer:
4.605170185988091
Step-by-step explanation:
ln 100 = 4.605170185988091
e^4.605170185988091 = 100
Step-by-step explanation:
100=1 log 10(1)=0
I hope this is helpful for you
having troubles solving this question
Answer:
option c is the correct answer
Answer:
c. 1/3
Step-by-step explanation: Substitute the corresponding x and y values into the slope formula, m = y2-y1/x2-x1. Then simplify the equation and you will get 1/3.
Integers help me with this question
9514 1404 393
Answer:
5196 m
Step-by-step explanation:
The difference in elevation is found by subtracting one elevation from the other. Usually, we're interested in the positive difference, so we subtract the smaller number from the larger.
5040 -(-156) = 5040 +156 = 5196
The difference in elevation is 5196 meters.
Which of the following ordered pairs is a solution to the equation 4x+6y=12? Select all that apply. Select all that apply: (−3,4) (1,3) (−6,6) (−13,10) (0,2)
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
Answer:
216
Step-by-step explanation:
outcome of one die is 1 out of 6 and if you roll 3 dices, the outcome is 216 possible outcomes because 6 times 6 times 6 is 6 cubed or 216
In ΔTUV, t = 7 inches, u = 9.4 inches and ∠V=18°. Find the area of ΔTUV, to the nearest 10th of a square inch.
Answer:
10 square inches
Step-by-step explanation:
that is the procedure above
Answer:
Area=10.167=10.2
Step-by-step explanation:
Area=1/2ab sin c
area= 1/2(7)(9.4)sin18
area = 10.167=10.2
this is for delta math
A restaurant with 25 tables has 4 tables by the window. Parties are seated randomly at the tables as they come in.
What is the probability that the first 3 parties of the night are all seated at window seats?
Answer:
50/50
Step-by-step explanation:
It's random
Which choice shows (40+10)+30 correctly rewritten using the associative property and then correctly simplified?
40 + (10 + 30) = 40 + 40 = 80
40 + 30 + 10 = 70 + 10 = 80
40 + (10 +30) = 50 + 30 =80
(10 +40) + 30 = 50 + 30 =80
When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV^1.4 = C, where C is a constant. Suppose that at a certain instant the volume is 400 cm^3 and the pressure is 80 kPa and is decreasing at a rate of 10 kPa/min. At what rate is the volume increasing at this instant?
Answer:
The volume increases at 35.71cm^3/min
Step-by-step explanation:
Given
[tex]PV^{1.4} = C[/tex]
[tex]V = 400cm^3[/tex]
[tex]P =80kPa[/tex]
[tex]\frac{dP}{dt} =-10kPa/min[/tex]
Required
Rate at which volume increases
[tex]PV^{1.4} = C[/tex] [tex]V = 400cm^3[/tex] [tex]P =80kPa[/tex]
Differentiate: [tex]PV^{1.4} = C[/tex]
[tex]P*\frac{dV^{1.4}}{dt} +V^{1.4}*\frac{dP}{dt} = \frac{d}{dt}C[/tex]
By differentiating C, we have:
[tex]P*\frac{dV^{1.4}}{dt} +V^{1.4}*\frac{dP}{dt} = 0[/tex]
Rewrite as:
[tex]P*(1.4)*V^{0.4}* \frac{dV}{dt} + V^{1.4}*\frac{dP}{dt} = 0[/tex]
Solve for [tex]\frac{dV}{dt}[/tex]
[tex]P*(1.4)*V^{0.4}* \frac{dV}{dt} =- V^{1.4}*\frac{dP}{dt}[/tex]
[tex]\frac{dV}{dt} =- \frac{V^{1.4}*\frac{dP}{dt} }{P*(1.4)*V^{0.4}}[/tex]
Substitute values
[tex]\frac{dV}{dt} =- \frac{400^{1.4}*-10 }{80*(1.4)*400^{0.4}}[/tex]
[tex]\frac{dV}{dt} =\frac{400*10 }{80*1.4}[/tex]
[tex]\frac{dV}{dt} =\frac{4000 }{112}[/tex]
[tex]\frac{dV}{dt} =35.71cm^3/min[/tex]
Plz help me solve this algebra problem
Answer:
Exact Form:
x = 2 √ 2 − 1 3 , − 2 √ 2 − 1 3
Decimal Form:
x = 2.49509379 , − 3.16176045
Step-by-step explanation:
Simplify the decimals as needed
