Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given. find p(x y>2)
Answers
Answer:
[tex]P(Y = 3 | X = 2) = 0.2857[/tex]
Step-by-step explanation:
Given
The question has missing details, and it is poorly formatted.
See attachment for complete question
From the attachment, we have:
Calculate: [tex]P(Y = 3 | X = 2)[/tex]
This is calculated as:
[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]
From the attached image, we have:
[tex]P(X = 2 | Y = 3) = 0.10[/tex] i.e. column x = 2 and row y = 3
[tex]P(X = 2) = 0.05 + 0.10 + 0.20[/tex] --- i.e. we add all columns of x = 2
This gives:
[tex]P(X = 2) = 0.35[/tex]
So, we have:
[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]
[tex]P(Y = 3 | X = 2) = \frac{0.10}{0.35}[/tex]
[tex]P(Y = 3 | X = 2) = 0.2857[/tex]
Related Questions
Find the arc length of the the patial circle. Either enter an axact answer of pi or use 3.14 for pi and enter your answer as a decimal.
Answers
a shipping company charges a cost per pound plus a fixed fee to ship a package. The total cost, f(x), in dollars, of shipping x pounds is modeled by the function shown. f (x) = 4.99x + 5.75 which part of the function represents the fixed fee
Answers
Answer:
5.75
Step-by-step explanation:
Think about it like this, which number is changing with "X" ? Obviously the total f(x) and the number being multiplied by x (the slope) 4.99 so the fixed number is 5.75
What is always true about the angles of an isosceles triangle? All three angles are congruent. At least two of the angles are congruent. The vertex angle is a right angle. The vertex angle is obtuse.
Answers
Answer:
at least 2 angles are congruent
Step-by-step explanation:
isoseles triangles have two congruent opposite angles such as 70 70 40
aurora bought a book with a new five dollar bill she got one-dollar bill two quarters and a dime back how much was the book
Answers
Answer:
$3.40
Step-by-step explanation:
$5 minus $1.60 = $3.40
Find the range of the data
97,106,99,97,115,95,108,100
Answers
Answer:
20
Step-by-step explanation:
Answer: 20
Step-by-step explanation: 115-95=20
Use the area of the rectangle to find the area of the triangle
Answers
if you want to get the area of a triangle you have to multiply the base times height and than divide by 2
A= 1/2 bh
A=1/2 (7x6)
A= 1/2(42)
A= 21
and for the area of the rectangle it’s 42 since there’s no dividing
A=bh
A=7x6
A=42
A fair number cube, with numbers 1 through 6, was rolled 200 times. The number 5 was rolled 34 times. If the number cube was rolled 300 times, approximately how many times would the number 5 be rolled?
A:9
B:15
C:51
D:134
Answers
Answer:
51
Step-by-step explanation:
34/200=.17
.17×300= 51
find the value of x
help me pls!!
Answers
(2x)+(x-3)=90
2x+x-3=90
3x-3=90
3x=93
x=31
Answer:
x = 31
Step-by-step explanation:
These angles are complementary so:
2x + x - 3 = 90
3x - 3 = 90
3x = 93
x = 31
Bill was looking at 13 different colors to paint his bedroom he liked about 2/3 of the colors. about how many colors did he like
Answers
A circular pool has a diameter of 24 feet. what is the area of the pool to the nearest tenth of a square foot ?
Answers
Answer:
37.7
Step-by-step explanation:
First you would need to find the radius by dividing 24 by 2 which is 12. Then multiply the radius by pie (3.14) and the answer should be 37.68 rounded to the nearest tenth, 37.7.
the question is in the picture.
Answers
Answer:
Team 1
Step-by-step explanation:
I think it is team 1 because their whiskers go through the whole graph and team 2 only goes from 68 to 76
Answer:
team 1
Step-by-step explanation:
is 1 5/6 a rational number or a iraarational
Answers
Answer: rational number
Step-by-step explanation:
Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written
please help me fast , answer with explanation please!! I need answers for both
Answers
Answer:
(1) The angles are 81⁰, 76⁰, 23⁰ and y = 157⁰
(2) The angles are E = 122⁰, P = 40⁰, and Q = 18⁰
Step-by-step explanation:
(1)
Considering the first diagram;
(4x + 29) + (5x + 11) + (2x - 3) = 180 (sum of angles in a triangle)
collect like terms together;
(4x + 5x + 2x) + ( 29 + 11 - 3) = 180
11x + 37 = 180
11x = 180 - 37
11x = 143
x = 143 / 11
x = 13
The angles of this triangle are calculated as follows;
4x + 29 = (4 x 13) + 29 = 81⁰
5x + 11 = (5 x 13) + 11 = 76⁰
2x - 3 = ( 2 x 13) - 3 = 23⁰
y⁰ + (2x - 3) = 180 (sum of angles on a straight line)
y⁰ + 23⁰ = 180
y⁰ = 180 - 23
y = 157⁰
(2)
Considering the second triangle;
(15m + 17) + (7m - 9) + (4m - 10) = 180 (sum of angles in a triangle)
(15m + 7m + 4m) + (17 - 9 - 10) = 180
26m - 2 = 180
26m = 180 + 2
26m = 182
m = 182 / 26
m = 7
The angles of this second triangle are calculated as follows;
E: 15m + 17 = (15 x 7) + 17 = 122⁰
P: 7m - 9 = (7 x 7) - 9 = 40⁰
Q: 4m - 10 = ( 4 x 7) - 10 = 18⁰
Given that a does not equal +-b and a^2-b^2/a+b=12, find a-b.
PLEASE HELP NEED ASAPPPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
Answers
Answer:
Step-by-step explanation:
Given that a does not equal +-b and a^2-b^2/a+b=12, find a-b.
PLEASE HELP NEED ASAPPPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
8.2 % of what number is $2.13?
Answers
Answer:
Step-by-step explanation:
174
Answer:
i believe its 26
Step-by-step explanation:
please mark brainliest if right
What are the median mode and range of 49 5 0 0 47 2 25 14
Answers
Mean (Average) 17.75
Median 9.5
Range 49
Mode 0, (appeared 2 times)
Geometric Mean 0
Largest 49
Smallest 0
Sum 142
hope this helps
By the way, these are the numbers you provided just in case you forgot anything, these are the ones I answered for.
49, 5, 0, 0, 47, 2, 25, 14
Area & Surface Area:Question 10
What is the area of the right triangle shown in the image?
7 4 Select one:
A. 22 units?
B. 11 units
C. 14 units
D. 28 units
Answers
Answer:
D
Step-by-step explanation:
Solve for x using
cross multiplication.
x =
3x
4
2x + 7
5
x = [?]
Answers
Answer:
1.8 + 0.75
Step-by-step explanation:
1.80
+0.75
= 2.55
I think. :)
what is 4/5 + 1/3 i am just checking for my maths test
Answers
Answer:
Exact Form:
17/15
Decimal Form:
1.1333333.....
Mixed Number Form:
1 2/15
Answer:
17 / 15
Step-by-step explanation:
LCM of 3 and 5 is 15.
4 / 5
= ( 4 / 5 ) x ( 3 / 3 )
= 12 / 15
1 / 3
= ( 1 / 3 ) x ( 5 / 5 )
= 5 / 15
( 4 / 5 ) + ( 1 / 3 )
= ( 12 / 15 ) + ( 5 / 15 )
= ( 12 + 5 ) / 15
= 17 / 15
Need help
1. 15% of what number is 6?
2. 25 is 10% of what number
3. 49 is 35% of what number
4. What is 310% of 65
Thanks
Answers
Answer:
1. 40
2. 40
3. 140
4. 210.5
I tried, hope this helps :)
According to the graph on your graphing tool, what is true about f(x)= x^4-4x^2+x/-2x^4+18x^2
Answers
Answer:
I can't see the options, so i will find all the asymptotes.
We have the function:
[tex]f(x) = \frac{x^4 - 4*x^2 + x}{-2*x^4 + 18*x^2}[/tex]
First, we can graph this using a graphing tool, the graph can be seen below.
In the graph, we can see that when we approach x = 0 from the left, f(x) goes to negative infinity, while if we approach x = 0 from the right, f(x) goes to infinity.
This can be written as:
[tex]\lim_{x \to 0_-} f(x) = - \infty \\[/tex]
and:
[tex]\lim_{x \to 0_+} f(x) = + \infty \\[/tex]
A similar thing can be seen at x = 3, when we approach from the left f(x) goes to infinity, while if we approach from the left, f(x) goes to negative infinity.
Then:
[tex]\lim_{x \to 3_-} f(x) = \infty \\\\\lim_{x \to 3_+} f(x) = - \infty \\[/tex]
For x = -3 we can see that when we approach from the left, f(x) goes to negative infinity, while if we approach from the right, f(x) goes to infinity.
Then:
[tex]\lim_{x \to -3_-} f(x) = - \infty \\\\\lim_{x \to -3_+} f(x) = + \infty \\[/tex]
We also can see that as x goes to negative infinity or positive infinity, f(x) tends to -0.5
Then:
[tex]\lim_{x \to \infty} f(x) = -0.5 \\ \lim_{x \to -\infty} f(x) = -0.5[/tex]
So you need to check the options that match with some of the given tendencies.
Answer:
b,c,d
Step-by-step explanation:
edg 21 ^u^
which is the value of n for which 411/3 + 388= n-79 ?
Answers
I’ll give brainliest
Answers
Opposite: 90 - 58 = 32
180 - 32 = 148
Please Rate Helpful & Or Brainlyest! Hope this helped!
Answer:
oh delete my answer ;-;
Step-by-step explanation:
Can someone find the error ??
And solve it
Please this geometry
Specials right triangle
Answers
In a 30-60-90 triangle the hypotenuse is 2 times the shortest leg.
In the problem, they multiplied the shortest leg by sqrt(3)
Hypotenuse = shortest leg x 2
Hypotenuse = 7 x 2 = 14 units
Does this represent a function? Why or why not *explain*
Answers
Help me with this please
Answers
Answer:
6
Step-by-step explanation:
The question indicates that the triangles are similar. The sides of FGH are 12, 15, and 20. The measured side of MNP is 10, which is 1/2 of 20. So since NM is the shortest side, it corresponds to the shortest side of FGH, which is 12. 1/2 of 12 is 6.
Please let me know if you have questions.
The total simple interest owed on a loan of $8,000 after 60 months is $1,280.
What is the yearly interest rate on the loan? Show your work.
Answers
Simple interest is an interest added on an amount of money. The yearly interest rate is 1.05%
Simple interestSimple interest is an interest added on an amount of money. The formula for calculating amount is given as:
Amount. = Principal + Interest
8000 = 1280 + PRT
Substitute
8000 - 1280 = 1280(R)(5)
6720 = 6400R
R = 1.05
Hence the yearly interest rate is 1.05%
Learn more on interest rate here: https://brainly.com/question/25720319
#SPJ1
if an area of the rectangle below is 39 square feet, sides are x-2 and x+8 find the area of x
Answers
Answer:
x = 5.
Step-by-step explanation:
The area of a rectangle can be determined by the following formula.
A = l ⋅ w
l stands for length or the longer side.
w stands for width or the shorter side.
Now, we can plug the values we are given into the equation.
A = ( x − 2 ) ⋅ ( x + 8 )
The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.
A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16
Now, we can plug in the given value for the area.
39 = x 2 + 6 x − 16
Next, we simplify by moving all terms to one side and factor the equation.
0 = x 2 + 6 x − 55
Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.
0= ( x − 5 ) ⋅ ( x + 11 )
If the equation ultimately equals zero, either ( x − 5 ) or ( x + 11 ) or both equal zero. Therefore, we set each equal to zero to find the value of
x .
x − 5 = 0 x = 5 x + 11 = 0
x = − 11
Since x is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.
Write an equivalent expression for k + k + z + z + z
Answers
Answer:
2k + 3z
Step-by-step explanation:
k + k + z + z + z
2k + 3z
Among all rectangles that have a perimeter of 202, find the dimensions of the one whose area is largest. Write your answers as fractions
reduced to lowest terms.
Answers
Answer:
How to write by fraction? 50 1/2 by 50 1/2
Step-by-step explanation:
the maximum area for a rectangle is a square.
To find a square with p = 202, divide it by 4,
202 / 4 = 50.5
