Answer:
A. 0.33496 = 33.496% probability that one out of the next four cars needs oil.
B. 0.19635 = 19.635% probability that two out of the next eight cars needs oil.
C. 0.01437 = 1.437% probability that 10 out of the next 40 cars needs oil.
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either their car needs to have oil added, or it does not. The probability of a customer having a car needing oil addition is independent of any other customer. This 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.
One out of 8 cars needs to have oil added.
This means that [tex]p = \frac{1}{8} = 0.125[/tex]
A. One out of the next four cars needs oil.
This is [tex]P(X = 1)[/tex] when [tex]n = 4[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{4,1}.(0.125)^{1}.(0.875)^{3} = 0.33496[/tex]
0.33496 = 33.496% probability that one out of the next four cars needs oil.
B. Two out of the next eight cars needs oil.
This is [tex]P(X = 2)[/tex] when [tex]n = 8[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{8,2}.(0.125)^{2}.(0.875)^{6} = 0.19635[/tex]
0.19635 = 19.635% probability that two out of the next eight cars needs oil.
C. 10 out of the next 40 cars needs oil.
This is [tex]P(X = 10)[/tex] when [tex]n = 40[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{40,10}.(0.125)^{10}.(0.875)^{30} = 0.01437[/tex]
0.01437 = 1.437% probability that 10 out of the next 40 cars needs oil.
help please need asap
Answer:
4.5
Step-by-step explanation:
4 * 1.5 = 6
3* 1.5 = 4.5
A. 92%
B. 29%
C. 23%
D. 100%
Branliest to correct answer explain how you solved please
[tex]\huge\mathfrak\blue{answer}[/tex]
[tex]c) \: 23\%[/tex]
Let's figure out how many pieces of candy there is in total:
10 + 12 + 6 = 28
In total, there are 28 pieces of candy.
Let's find the probability that a piece is sour:
[tex] \frac{10}{28} = \frac{5}{14} [/tex]
The probability of pulling a sour piece out of the bag is 5/14.
This means that the probability that the candy pulled is not sour is 9/15 (or simplified 3/5)
To find the probability that the first candy picked out is sour AND the second candy picked is not sour we have to multiply the probabilities of both:
[tex] \frac{5}{14} * \frac{3}{5} = 0.229 = 23\%[/tex]
[tex]\huge\sf\blue{thank \: you}[/tex]
(Brainliest would be appreciated :))
please help me i really need help please please please
I NEED HELP WITH THIS QUESTION!!!!
9514 1404 393
Answer:
see attached
(x, y) = (8, 4)
Step-by-step explanation:
The relations given in the problem statement let you write two equations. One for the number of shots, and one for the number of points. The variables x and y are defined in the problem statement.
x + y = 12 . . . . . total number of shots
x + 2y = 16 . . . . total number of points
__
These equations are easily plotted by considering their x- and y-intercepts. The x-intercepts of the equations are found when y=0, so are 12 and 16, respectively.
The y-intercepts are found when x=0, so are 12 and 8, respectively. The two lines are shown in the attached. The first is blue; the second is red. Their point of intersection at (x, y) = (8, 4) is circled.
the number of free throws Angel made was 8the number of 2-point shots Angel made was 4Answer:
the answer is (x, y) = (8, 4)
Please help quickly what's the answer Ill give u brainlest
Richard deposits $193.67 every month into his mortgage. At the end of 30 years, he has a balance of $120,182.07. What interest has accrued (been earned) over 30 years?
Answer:
$50,460.87 of interest has been accrued.
Step-by-step explanation:
Richard deposits $193.67 every month into his mortgage.
Each year as 12 months. So after 30 years he will have deposited:
$193.67*12*30 = $69,721.2
At the end of 30 years, he has a balance of $120,182.07. What interest has accrued (been earned) over 30 years?
Interest is total subtracted by deposits. So
120,182.07 - 69,721.2 = $50,460.87
$50,460.87 of interest has been accrued.
help?? i will mark the correct answer brainlest!!
Answer: 13 is the first one and the second one is 15
Step-by-step explanation:
The percent-of-sales method for computing uncollectible accounts:
Two methods, A and B, are available for teaching a certain industrial skill. The failure rate is 30% for method A and 10% for method B. Method B is more expensive, however, and hence is used only 20% of the time. (Method A is used the other 80% of the time.) A worker is taught the skill by one of the two methods, but he fails to learn it correctly. What is the probability that he was taught by using method A
Answer:
Probability that he was taught by using method A is 14/17
Step-by-step explanation:
Following probabilities are given -
P (F|A) = 0.2
P (F|B) = 0.1
P (A) = 0.7
P (B) = 0.3
Now, P(A|F) = { P (F|A)* P(A)}/{{ P (F|A)* P(A)} + P (F|B)* P(B)}}
P(A|F) = (0.2*0.7)/( (0.2*0.7)+(0.1*0.3)) = 14/17
Identify the x- and y-intercepts for y = 9 – x2.
The x-intercept and the y-intercept are ±3 and 9 respectively
Intercept of a functionThe x-intercept of a function is the point where y = 0
Given the function y = 9 - x^2
0 = 9 -x^2
x^2 = ±9
x = -3 and 3
The y-intercept of a function is the point where x = 0
Given the function y = 9 - x^2
y = 9 -0^2
y = 9
Hence the x-intercept and the y-intercept are ±3 and 9 respectively
Learn more on intercept here; https://brainly.com/question/1884491
#SPJ1
solve for the equation
5= g/8
g=? g equals
the simple interest earned from a deposit after 5 years is 8,500. if the interest rate is 8% per annum, how much was deposited?
Answer:
Your answer is in the photo attached
Determine the ordered pair of the y-intercept of the function below:
y= x2 + 4x – 8
Answer: If you want to graph it this is ez (0, -8)
Step-by-step explanation:
The garden staff can mow 45 lawns in 10 hours at this rate how many lawns can they mow in 6 hours
Answer:
b
Step-by-step explanation:
Answer:
27 lawns.
Step-by-step explanation:
45÷10
4.5
So every hour they mow 4.5 lawns.
Now do 4.5 • 6
So 27 lawns
Hope this helps
Please help I’ll mark you as brainliest if correct
Answer:
Option 4 is correct
x° + 126° = 180° and value of x is 54°
Step-by-step explanation:
Here, In a given Triangle two sides are equal i.e., Isosceles Triangle.
We know that, in a triangle the sum of all angles Is 180°.
If two sides are equal then also two angles are also equal of that sides.
Now,
63° + 63° + x° = 180°
x° + 126° = 180°
Now, To find the value of x
x° + 126° = 180°
x° = 180° - 126°
x = 54°
Thus, The value of x is 54°
FOR VERIFICATION ONLY:-x° + 126° = 180°
54° + 126° = 180°
180° = 180°
Hence, L.H.S = R.H.S
-TheUnknownScientist
Answer:
the value x is 54
I am sure
SOMEONE PLEASE HELP ME WITH THIS QUESTION IT WOULD MEAN ALOT IM REALLY STRUGGLING
Answer:
The volunteers should be a group of 10 and meditators should be 5 groups.
Step-by-step explanation:
Mrs. Harrison records the number of vacation days employees in her department have used this year. The histogram below shows the recorded data.
Which of the following is the best measure of center for the data?
Hey! please help! i don't understand these type of questions! Please answer the question and explain how you got the answer! Thanks!
roads diverge at an angle of 70 degree. aurea walks on the first road at 4kph while marcelino on the other road at 5 kph. both start walking at the diversion point. how far are they after 3 hours?
Answer:
ggyfuae5iyrsi6rs6esyleslysyrslur
How many three letter passcodes can you make, where the first letter must be a vowel?
Answer:
app
and
ack
abc
as.s (my favorite)
add
all
i can make more im just lazy lol have a good day kind sir/madam/person
Use the given information to find the new price. Round to the nearest cent.
Original Price: $28
Discount Rate: 28%
Answer:
Step-by-step explanation:
7.84 = 8.
Answer:
Original Price: $28
Discount Rate: 28%
new price=?
we have
discount:
28% of 0riginal Price=28/100×$28=$7.84
now
new Price=original -discount price=$28-7.84=$20.16 is your answer
In AMNO, the measure of Z0=90°, the measure of ZM=13°, and OM = 9.6 feet. Find
the length of MN to the nearest tenth of a foot.
Answer:
Hypotenuse MN = 10.54 ft (Approx.)
Step-by-step explanation:
Given:
Base OM = 9.6 ft
Angle θ = 13'
Find:
Hypotenuse MN
Computation:
Using trigonometry function
Cos θ = Base / Hypotenuse
Cos 13 = 9.6 / Hypotenuse
0.97 = 9.6 / Hypotenuse
Hypotenuse MN = 10.54 ft (Approx.)
In ΔABC, the measure of ∠C=90°, the measure of ∠A=63°, and AB = 35 feet. Find the length of CA to the nearest tenth of a foot.
Answer:
x ≈ 15.9 ft
Step-by-step explanation:
Reference angle = <A = 63°
Hypotenuse = AB = 35
Adjacent = CA = x
Apply trigonometric function CAH:
Cos A = Adj/Hyp
Plug in the values
Cos 63 = x/35
35 × cos 63 = x
15.8896675 = x
x ≈ 15.9 ft
the probability of it raining on a given day is 3/8
what is the probability of its not raining
5/8
Step-by-step explanation:
Probability of raining = 3/8
Total days= 8/8
Then probability of not raining= 8/8 - 3/8
= 5/8
Answer:
5/8.
Step-by-step explanation:
These probabilities add up to 1 so
Probability(Not Raining)
= 1 - 3/8
= 8/8- 3/8
= 5/8.
Combine the like terms to create an equivalent expression.
2q+2+9
Answer:
the answer is 2q + 11 because 2 and 9 are like terms so you can add them
Answer:
2q+11
Step-by-step explanation:
khan said so
Jesse has three one-gallon containers. The first
3
one has of a gallon of juice, the second has
gallon of juice and the third has of a gallon of juice.
How many total gallons of juice does Jesse have?
Step-by-step explanation:
Total gallons of juice = No. of containers x one gallon of juice
= 3x1
= 3 gallons of juice
Use f(x)=-2x+5 to find x when f(x)=11
Let f and g be two functions.
Given that (f ∘g)(x) = g – 1 (x) = [tex]\frac{x+1}{2} , where x ∈ℝ find an expression for f (x).
a = 10, b = 24, c = _____
Answer:
c=26
Step-by-step explanation:
By using pythagoram thoerem
c^2=a^2+b^2
c^2=(10)^2+(24)^2
c^2=100+576
c^2=676
c=sqrt(676)
c=26
c=26
Two forces of 401 newtons and 477 newtons act on a point. The resultant force is 828 newtons. Find the
angle between the two forces.
The angle between the two forces is ____°
(Round to the nearest integer as needed.)
Answer:
The answer is "[tex]39.01^{\circ}[/tex]"
Step-by-step explanation:
[tex]\to R= 828\\\\\to F_1= 401\\\\\to F_2=477\\\\\to \bold{R=\sqrt{F_1^2+F_2^2+2F_1F_2 \cos \theta}}[/tex]
[tex]828=\sqrt{401^2+477^2+2 \times 401 \times 477 \cos \theta}\\\\828=\sqrt{160801+227529+382554 \cos \theta}\\\\828=\sqrt{388330+382554 \cos \theta}\\\\[/tex]
square the above equation:
[tex](828)^2=(\sqrt{388330+382554 \cos \theta})^2\\\\[/tex]
[tex]685584 =388330+382554 \cos \theta\\\\685584 -388330=382554 \cos \theta\\\\297254=382554 \cos \theta\\\\\cos \theta=\frac{297254}{382554}\\\\\cos \theta=0.777025\\\\\theta= \cos^{-1} 0.777025\\\\\theta= 39.01^{\circ}[/tex]
PLEASE PLEASE PLEASE HELP!
9514 1404 393
Answer:
x + 3
Step-by-step explanation:
If x > 5, the quantity x+3 is always positive. The absolute value symbol does nothing in that case, so the simplified expression is ...
x + 3
Answer:
the answer is x+3
Step-by-step explanation:
:)))))