. A cell phone company has three different production sites. Five percent of the cars from Site 1, 7% from Site 2, and 9% from Site 3 have been recalled due to unexpected shutdown issue. Suppose that 60% of the phones are produced at Site 1, 30% at Site 2, and 10% at Site 3. If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3 (write it up to second decimal place)
Answer:
0.15 = 15% probability that it came from Site 3
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Being recalled
Event B: Recalled from site 3.
Probability of being recalled:
5% of 60%(from site 1)
7% of 30%(from site 2)
9% of 10%(from site 3).
So
[tex]P(A) = 0.05*0.6 + 0.07*0.3 + 0.09*0.1 = 0.06[/tex]
Probability of being recalled, being from site 3.
9% of 10%.
[tex]P(A \cap B) = 0.09*0.1 = 0.009[/tex]
If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.06} = 0.15[/tex]
0.15 = 15% probability that it came from Site 3
Please help. I dont understand how to do this. Enter the coordinates of the vertices of (Ry-axis ∘ r(90°, O))(QRST).
Answer:
I think it's
Q = ( 1 , 3 )
R = ( 3 , 3 )
S = ( 0 , 2 )
T = ( -2 , 1 )
Step-by-step explanation:
please tell me if this is wrong.
Hope this helps!
please help as fast as possible
Answer:
D
Step-by-step explanation:
You can divide each side length by two to get D
Answer:
The answer is D
Step-by-step explanation:
x = sin 1/2θ, y = cos 1/2θ, −π ≤ θ ≤ π (a) Eliminate the parameter to find a Cartesian equation of the curve.
Answer:
Use the form a cos ( b x− c) + d to find the amplitude, period, phase shift, and vertical shift.
x = sin ( 1 2 θ )
y = cos ( 1 2 θ )
− π ≤ θ ≤ π ( a )
Step-by-step explanation:
PLease do all this i will give brainiest
Answer:
The cost of 10 pens is $2.25.
You would have 30 hard boiled eggs.
You will need 18 hard boil eggs for 54 scrambled.
Step-by-step explanation:
A sporting goods store sells 7 cans of tennis balls for every 3 tennis rackets. How many cans of tennis balls would be sold if 63 tennis rackets were sold?
need asap
Answer:
7×63=441
Step-by-step explanation:
441 cans of tennis
The diameter of a circle is 8 cm. Find its circumference in terms of pi
Answer:
25.13 or 8 × pi
Step-by-step explanation:
diameter × pi = circumference
Answer:
8π
Step-by-step explanation:
formula for circumference of a circle=
C=2πr, r= radius
the radius is the diameter divided by 2
radius= 8/2=4
plug into formula
C=2π4
multiply 2 and 4
C=8π
I need help ASAP please!! Giving brainliest!!!
James worked for 8 hours mowing lawns; he earned 68 dollars. How much would he
earn if he worked for 10 hours?
Answer:
$85
Step-by-step explanation:
First you do 68 divided by 8. Then you take the answer 8.5 and multiply it by 10 which equals 85. Brainliest?
The question is:
Which calculation and answer show how to convert 13/16 into a decimal
Answer:
I think the answer is D
Step-by-step explanation:
Answer is D, because if you divide 13 and 15 it gives you 0.8125
Please I need help
I will mark you brainliest
Answer:
60ft
Step-by-step explanation:
Using the formula shown a^2 + b^2 = c^2
5 ^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
Take the square root of both sides:
C = 13
What is the answer to 7(5-8x) > 147
Answer: x < -2
Step-by-step explanation:
"I think of a number, take away 1 and multiply the result by 3."
Write it in algebraically, using x as your unknown
Answer:
(x-1)3
3x-3
Step-by-step explanation:
I came up with this.
The resultant of the expression of the given phrase as take away 1 and multiply the result by 3 will be 3x - 3.
What is an expression?An expression is a combination of some mathematical symbol such as an arithmetic operator and variable that are all constrained and create an equation.
In other meaning, expression is beneficial to determine the end or root value of constraint.
For example 3x +5y
As per the given,
take away 1 = x - 1
Multiply the result by 3 = 3(x - 1)
3(x - 1) = 3x - 3
Hence "The resultant of the expression of the given phrase as take away 1 and multiply the result by 3 will be 3x - 3".
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Answer plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
10+60t≤280
60t≤280-10
60t≤270
6t≤27
2t≤9
t≤9/2
t≤4.5
t=4 hours
first subtract $10 from$280 and you get $270
270 divided by 60 = 4.5
so the answer is four and a half hours
3x+1=6x-4 solve for x
Answer:
x = 5/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
3x + 1 = 6x - 4
Step 2: Solve for x
Subtract 3x on both sides: 1 = 3x - 4Add 4 to both sides: 5 = 3xDivide 3 on both sides: 5/3 = xRewrite: x = 5/3Answer:
Exact form
x=5/3
Decimal form
x=1.6
Mixed number form
x= 1 2/3
Step-by-step explanation:
6) Solve the equation by Completing the Square. Show all the solutions.
x2 + 8x -5 = 0
13
5
ө
12
What is the length of the side opposite to angle θ
Answer: Sin θ =
Step-by-step explanation:
In the figure attached, ABC is a right angle triangle.
Sides of this triangle are AB = 12 BC = 5 and CA = 13
Angle opposite to the side having length = 12 is θ.
Now we have to calculate sin θ.
Since Sinθ =
=
Therefore, ratio which represents sinθ will be
Step-by-step explanation:
Steven earns extra money babysitting. He charges $37.00 for 4 hours and $55.50 for 6 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
Answer:
Step-by-step explanation:
3.2
One card is selected at random from a deck of cards. Determine the probability that the card selected is a card greater than 3 and less than 8.
Answer:
4/13
Step-by-step explanation:
Count all cards that are 4, 5, 6, and 7 (each of 4 different suits) so the number of cards that is greater than 3 and less than 8 = 4(4) = 16.
There are 52 cards in a standard deck of cards.
P(greater than 3 and less than 8)
= 16/52
= 4/13
Find the value of each variable in the parallelogram.
Answer:
u = 4; v = 18
because this is a parallelogram
=> 2u + 2 = 5u - 10
6 = v/3
<=> 3u = 12
v = 6.3
<=> u = 4
v = 18
2/a - 6 = 12
= 12
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Answer:
what's the question xjsbzbksns
Answer:
what r u asking?
Step-by-step explanation:
write the algebraic expression for: The length of a rectangle is 3 feet less than 4 times its width.
Answer:
Perimeter (P) is: 48
Problem to solve:
48=2(2x+3)+2(x)
48=4x+6+2x
48=6x+6
48-6=6x+6-6
42=6x
42/6=6x/6
7=x
Step-by-step explanation:
The length of a rectangle is 3 more than twice its width. The perimeter is 48 feet. Find the width. Hint: You did this in Module 3 Assignment 5. Now you have to write the equation and solve it.
a. 16
highlight%28b%29. 7
c. 8
d. 21
e. 24
:
Formula for the perimeter of a rectangle is: highlight%28P=2L%2B2W%29, P is perimeter, L is length, W is width.
Let Width (W) be:x
Then length (L)is: 2x+3
Write an equation of the locus of all points equidistant from the x axis and the y axis and whose coordinates have the opposite signs.
Answer:
y=-x
Step-by-step explanation:
Since the y-axis and x-axis are intersecting lines then you need to apply the locus of intersecting lines which would be the angle bisector and since the problem is asking for the opposite signs you need to make it -x instead of x.
Hope this helps
:)
The stock market dropped 220 points on Monday. It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points. What was the amount of change over those three days.
48 points gained in those 3 days.
Subtract 220 with 48, then add 96. Last step would be subtracting 220 with the amount they have now in those 3 days to find how much points the stock market gained in those 3 days.
Subtract 220-48.It‘ll be 172.
Add 172 with 96. 172+96=268.
Subtract 268 with how much points the stock market had 3 days ago. 268-220 would be 48.
The amount of change over those three days is 268 points.
Here,
The stock market dropped 220 points on Monday.
It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points.
We have to find, the amount of change over those three days.
What is amount?
The sum total of two or more quantities or sums, is called amount.
Now,
The stock market dropped 220 points on Monday.
It lost another 48 points on Tuesday.
Hence, the points after loss = 220 - 48 = 172
And, when it gained 96 points.
Then, the points after gain = 172 + 96 = 268
Hence, The amount of change over those three days is 268 points.
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Find the value of x if A, B, and C are collinear points and B is between A and C. AB=6x,BC=x−5,AC=23
Answer:
The value of x = 4 if A, B, and C are collinear points and B is between A and C.
Step-by-step explanation:
We need to find the value of x if A, B, and C are collinear points and B is between A and C.
We have AB=6x,BC=x−5,AC=23
If points are collinear and B is between A and C we can write:
AC=AB+BC
Putting values and finding value of x
[tex]AC = AB+BC\\23=6x+x-5\\23=7x-5\\7x=23+5\\7x=28\\x=\frac{28}{7}\\x=4[/tex]
The value of x = 4 if A, B, and C are collinear points and B is between A and C.
The number of seeds in watermelons from an organic farm follow a distribution that is skewed to the right with a mean of 348 seeds and a standard deviation of 149 seeds. If a farmer randomly selects 50 watermelons from this farm, what is the probability that the average number of seeds is greater than 400 ap statistics
Answer:
89
Step-by-step explanation:
Hiroshi found that 3/5 of his class prefers vanilla ice cream, 26% prefers chocolate ice cream, and 0.14 prefers strawberry ice cream. Put the numbers in order from least to greatest. Which kind of ice cream do the least number of students prefer?
help asappp!!!
Answer:
The kind of ice cream the least number of students prefer is Strawberry ice cream.
Step-by-step explanation:
We convert all given values to decimal
Hiroshi found that:
a) For vanilla ice cream
3/5 of his class prefers vanilla ice cream
3/5 to decimal = 0.6
b) For Chocolate ice cream
26% prefers chocolate ice cream
26% to decimal = 0.26
c) For strawberry ice cream
0.14 prefers strawberry ice cream
0.14 = 0.14
Arranging the numbers in order from least to greatest, we have :
0.14, 0.26 , 0.6
The kind of ice cream the least number of students prefer is Strawberry ice cream.
Latoya can plant 1/3of her garden in 2/5 hour. If she continues working at this rate, what fraction of Latoya’s garden can she plant in one hour?
Answer:
Latoya can plant 5/6 of her garden in one hour.
Step-by-step explanation:
☆We can solve using proportion!
[tex] \frac{ \frac{1}{3 } \: of \: garden }{ \frac{2}{5} \: of \: hour } = \frac{x}{1 \: hour} \\ \\ \frac{ \: \frac { 2}{5}x }{ \frac{2}{5} } = \frac{ \frac{1}{3} }{ \frac{2}{5} } \\ \\ x = \frac{5}{6} [/tex]
A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it takes 18 weeks for the factory to be at full capacity, how many weeks would it take for the factory to be at half capacity?
Answer:
9 weeks
Step-by-step explanation:
divide the full capacity by 2 to get 9 because 9 x 2 is 18 and half of the full capacity would be half capacity
What is the answer? please help
Answer:
The answere is -8 i think
Step-by-step explanation:
Answer: The answer is c
Step-by-step explanation: