Using conditional probability, it is found that P(X⏐Y) = 0.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula 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 problem, we have that X and Y are mutually exclusive events, hence [tex]P(X \cap Y) = 0[/tex], hence:
[tex]P(X|Y) = \frac{P(X \cap Y)}{P(Y)} = \frac{0}{0.32} = 0[/tex]
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Mr. Ford will select 5 of the 120 people who tried out for a theatrical production. He will choose another 5 people to assist with the show.
How many people will he choose altogether?
Answer:
10
Step-by-step explanation:
Mr. Ford selects 5 people who tried out.
He then chooses 5 more people to assist with the show.
Together he has 5 + 5 = 10 people altogether.
4. Jenny is a babysitter and she gets paid $35
for each toddler and $20 for each after school
kid. Write an algebraic expression that
describes her situation. Hint.... You may need
two variables because she is getting paid in two
different ways.
Answer:
35t + 20k
Step-by-step explanation:
Let t = number of toddlers.
Let k = number of kids.
Her pay is
35t + 20k
Benjamin bought two pounds of strawberries for $12.80. What is the price, in dollars per ounce of strawberries?
Answer:
0.50 cent per ounces
Step-by-step explanation:
0.50 cent per ounces
What is renters insurance?
helllllllllllllllllllllp meeeeeeeeee
Answer:
protecting your personal belongings as a renter.
Step-by-step explanation:
your TVs, laptops, furniture, jewelry, etc.
well how do I get better at maths, am unable to understand no matter how hard I study
Answer:
I would do it at your own pace. Find yourself a habit that helps you focus.
Step-by-step explanation:
For some people, like me, music helps me focus. For others, utter silence is best. I would suggest that if you finding a focal point does not help that you get a tutor. You can also come up with multiple ways to study like Quizlets, videos, flashcards, podcasts, depending on what type of learner you are!
Find the circumference of the circle.
The circumference is _____
mi.
Answer:
The answer is 8 pi
Step-by-step explanation:
The formula is radius squared times pi!
I hope this helped!!
Brainliest pls helppp
Find the equation of a line passing through point A (4,6) and B (-2, 8)
3. Find the multiplicative inverse of -100
Hello.
Let's find the multiplicative inverse of -100.
In order to do that, we need to write -100 as a fraction:
[tex]\bf{\displaystyle\frac{-100}{1}[/tex]
Now, in order to find the multiplicative inverse of -100, we should flop the fraction over:
[tex]\bf{\displaystyle\frac{1}{-100}[/tex]
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
The ratio of boys in a class to girls is 3:2. If there are a total of 20 students in the class, how many students are boys?
Answer:
13.333333...
Step-by-step explanation:
divide 20 by 3/2
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 4,11,18. Find the 50th term.
Answer:
347
Step-by-step explanation:
This is Arithmetic Sequence where its common difference= 11-4 = 18-11 = 7
The Geometric Sequence General Formula = [tex]a_{n} =a_{1}+ d(n-1)[/tex]
where a1 is the 1st Term and d is the common difference
[tex]a_{50} =4+7*(50-1)=347[/tex]
Choose the correct linear equation given the slope and a point P.
m = 5/6, P = (-6,-2)
Answer:
3rd option is correct
.........................................
Answer:
option c
Step-by-step explanation:
Linear equation in slope intercept form: y = mx +b
m is slope and b is y-intercept.
m = 5/6
[tex]y=\dfrac{5}{6}x+b\\[/tex]
The point P(-6 ,-2) passes through the line. So, plugin s and y values in the above equation.
[tex]-2=\dfrac{5}{6}*(-6)+b\\\\\\-2= -5 + b\\\\-2 + 5 = b\\[/tex]
b = 3
Equation of the line:
[tex]y=\dfrac{5}{6}x+3[/tex]
A penny is in the shape of a circle.
What would you call the segment that connects the edges of the penny and passes through the center?
The
is the distance from the center of the penny to the edge of the penny.
What is the term for the distance around the edge of the penny?
Answer:
Diameter
Step-by-step explanation:
If it was from the middle to the edge it would be a radius,
but since it goes all the way across its a diameter.
Answer:
Step-by-step explanation:
The penny is a circle, the diameter is a line segment that passes directly through the center of a circle, the answer is diameter.The 2.radius is the distance from the center of the penny to the edge of the penny.3.Diameter.
ABE CDE. Find the length of altitude NE.
Answer:
a four is correct answer
Answer:
A. 4
Step-by-step explanation:
Side AE corresponds to EC, so the scale factor is 3.
12/3=4
Hope this helps :)
I’m having trouble understanding this can someone help please and thank you
Answer:
A soda costed $3.50.
Step-by-step explanation:
Step 1) We know that a slice of pizza and a soda costs $9 (from Kate's order). With a burger added (Billy's order) it would cost $13.50.
So a burger would cost $4.50:
[tex]13.50-9=4.50[/tex]
Step 2) We also know a burger and a soda costs $8. So we subtract the cost of the burger from Louis' order to find the cost of the soda:
[tex]8-4.50=3.50[/tex]
Cost of soda: [tex]\$3.50[/tex]
.
can u answer plss
and gove explanation plss
Answer:
x=[tex]\sqrt{\frac{7y+8}{5} }[/tex]
Step-by-step explanation:
Write the ratio 27 feet to 24 yards as a fraction in simplest form. (Hint: 3 feet = 1 yard.)
Answer:
9/8
27 divided by 3 = 9
24 divided by 3 = 8
I hope this helps!
The ratio in the simplest form of 27 to 24 is equal to 9:8 or 9/8.
What is ratio?When comparing two or more numbers, the phrase ratio is used in mathematics. When one quantity is related to another, it can be used to show how big or tiny it is. Division is used to compare two quantities in a ratio. The term "antecedent" in this context refers to the dividend, and "resultant" to the divisor.
From the given information in the question,
To find the simplest form, divide numerator and denominator with the same number.
Numerator = 27 feet
In simple form = 27/3 = 9
Denominator = 24 yards = 72 feet
In simple form = 72/3 = 24
= 9/24
= 3/8 is the simplest form.
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Karen runs each lap in 7 minutes. She will run more than 42 minutes today. What are the possible numbers of laps she will run today?
Use N for the number of laps she will run today.
Write your answer as an inequality solved for N.
Answer:
the answer for the question is N=6
Answer:
6 laps they will run
Step-by-step explanation:
I say 6 laps because if you do 42/7 then you will get 6 so 6 laps.
8) What is the slope of the line that passes through the points (5.-11) and (-9, 17)?
A)-2
B)
B) - 1
07
D) 2
[tex] \Large{\boxed{\sf Option \ A) \ Slope = -2 }} [/tex]
[tex] \\ [/tex]
Explanation:To find the value of the slope of the line that passes through the points (5 , -11) and (-9 , 17), we will have to use the slope formula.
[tex] \\ [/tex]
[tex] \Large{\left[ \begin{array}{c c c} \underline{\tt Slope \ formula \text{:}} \\~ \\ \tt m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2 - y_1}{x_2 - x_1}\end{array} \right] } [/tex]
Where m is the slope of the line.
[tex] \\ [/tex]
To apply the above formula, we first need to identify our values.
[tex] \sf (\underbrace{\sf 5}_{x_1} \ , \ \overbrace{\sf -11}^{y_1} ) \ \ and \ \ (\underbrace{\sf -9}_{x_2} \ , \ \overbrace{\sf 17}^{y_2} ) [/tex]
[tex] \\ [/tex]
Let's substitute these values into the formula:
[tex] \longrightarrow \sf m = \dfrac{17 - (-11)}{-9 - 5} \\ \\ \\ \longrightarrow \sf m = \dfrac{17 + 11}{-14} \\ \\ \\ \longrightarrow \sf m = \dfrac{28}{-14} \\ \\ \\ \longrightarrow \sf m = \dfrac{7 \cdot 4}{7 \cdot (-2)} \\ \\ \\ \longrightarrow \sf m = -\dfrac{4}{2} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf m = - 2}} [/tex]
[tex] \\ [/tex]
[tex] \hrulefill [/tex]
[tex] \\ [/tex]
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Gradient (m) of a Line :
[tex]\underbrace{\rm{ m = \dfrac{y_2 - y_1}{x_2-x_1}}}_{m}[/tex]
Substituting the known values ,
➱ [tex]\rm{m=\dfrac{17-(-11)}{-9-5}}[/tex]
➱ [tex]\rm{m=\dfrac{17+11}{-14}}[/tex]
➱ [tex]\rm{m=\dfrac{28}{-14}}[/tex]
➱ [tex]\rm{m=-2}[/tex]
Henceforth, Gradient = -2
kinda easy math problems
1. {1, 2, 3, 4, 5, 6}
2. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
3. {B1, B2, B3, R1, R2, R3, R4, R5, R6, R7, R8, G1, G2, G3, G4, Y1, Y2, Y3, Y4, Y5, Y6, Y7}
B for blue, R for red, G for green, Y for yellow.
4. {TT, TH, HT, HH}
T for tails and H for heads
Explanation:
sample space is all possible outcomes
1. ((--1, 2, 3, 4, 5, 6--))
2. ((--1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15--))
3. ((--B1, B2, B3, R1, R2, R3, R4, R5, R6, R7, R8, G1, G2, G3, G4, Y1, Y2, Y3, Y4, Y5, Y6, Y7--))
B for blue, R for red, G for green, Y for yellow.
4. ((--Tail tail, Tail Heads, heads tails, heads heads--))
What is the solution To the system of equations below? Need answer ASAP please
Answer:
y=2x-5
y=-x+7
answer is (4,3)
Step-by-step explanation:
brainliest pls
QUESTION ON PIC THANK YOU !
Answer:
There are (14 - 8) daisies = 6 daisies
roses / daises = 8 / 6 = 4 / 3
flowers / daises = 14 / 6 = 7 / 3
Chapter 8 Practice:
Compute the inverse Laplace transform of
[tex]F(s) = \frac{s² +1}{(s-1)(s+1)(s - 2)} [/tex]
(Cover up method)
Continue the given solution and solve for B and C :
[tex](s+1)\dfrac{s^2+1}{(s-1)(s+1)(s-2)} = (s+1)\left(-\dfrac1{s-1} + \dfrac B{s+1} + \dfrac C{s-2}\right)[/tex]
[tex]\dfrac{s^2+1}{(s-1)(s-2)} = -\dfrac{s+1}{s-1} + B + \dfrac{C(s+1)}{s-2}[/tex]
[tex]s=-1 \implies B = \dfrac13[/tex]
Similar steps lead to C = 5/3, and so
[tex]\dfrac{s^2+1}{(s-1)(s+1)(s-2)} = -\dfrac1{s-1} + \dfrac13\times\dfrac1{s+1} + \dfrac53\times\dfrac1{s-2}[/tex]
Now take the inverse transform of each term.
[tex]Y(s) = -\dfrac1{s-1} \implies y(t) = -e^t L^{-1}\left\{\dfrac1s\right\} = -e^t[/tex]
[tex]Y(s) = \dfrac13\times\dfrac1{s+1} \implies y(t) = \dfrac{e^{-t}}3 L^{-1}\left\{\dfrac1s\right\} = \dfrac{e^{-t}}3[/tex]
[tex]Y(s) = \dfrac53\times\dfrac1{s-2} \implies y(t) = \dfrac53e^{2t} L^{-1}\left\{\dfrac1s\right\} = \dfrac{5e^{2t}}3[/tex]
Then the inverse transform of F(s) is
[tex]F(s) = \dfrac{s^2+1}{(s-1)(s+1)(s-2)} \implies f(t) = -e^t + \dfrac{e^{-t}+5e^{2t}}3[/tex]
[tex]\implies f(t) = \boxed{\dfrac{5e^{3t} - 3e^{2t} + 1}{3e^t}}[/tex]
Help me plsssssss Brainless
Can you help me please.
volume: 113.1 and SA:138.23
HELP NEEEEDED ASAP!!!!!!!! Which graph represents this function?
f(x)=2x−1−−−−√
A school collected 1,008 cans of food The cans were placed in 9 boxes of each box had the same number of cans how many cans were in each box
Answer:
There are 112 cans in each box.
Step-by-step explanation:
You divide 1008 by 9, so that gives you 112.
Hope it helps!
Maple Street is 4 miles long. There is a house every 1/4 of a mile. How many houses are there on Maple Street?
There are 24 houses on Maple Street.
There are 12 houses on Maple Street.
There are 16 houses on Maple Street.
There are 20 houses on Maple Street.
Answer: There are 16 houses
Step-by-step explanation: Why? Because of the fact that every house is 1/4 house and you can multiply that by every time 1/4x4 then 1/4x4 1/4x4 and 1/4x4 and you have 16 houses.
Solve the system using substitution!
4x+4y=-2
y=-x
Worth (50 Points) If answered correctly
Solution:
Given that:
y = -x4x + 4y = -2Substitute the value of y into equation #2.
4x + 4(-x) = -24x - 4x = -20 ≠ -2Since the equation has no variable and is false, this system has no solution.
here a subtraction problem that has been solved correctly for 68-59=9 but the choices is 9+68=77 68+9=77 9+59=68 which one is the addition sentence that checks the subtraction problem
Answer:
It's probably 9+59=68
Step-by-step explanation:
=> 9+59=68
68 - 59 gives you 9
So in order to check if the problem was solved correctly you will add the answer plus the subtraction of one number in the two numbers of subtraction
which means between the options 9 + 59 equals to 68 is absolutely the correct answer
The function h(x) is a transformation of the square root parent function, f(x) = √x. What is h(x)?
A. h(x) = √x + 5
B. h(x) = √x - 5
C. h(x) = √x - 5
D. h(x) = √x + 5
Answer: A: √x+5
Step-by-step explanation:
The parent square root function is √x
Transformations to this graph come in the form y =√(x-h) +k, where h is responsible for left-right movements, and k is responsible for up down movements.
For the image, we can see that f(x) is simply the parent square root function, √x. To get h(x) from f(x), there is a translation of 5 units to the left, which can be algebraically represented by a value of h = -5. Putting this into our form, we get h(x) = √x+5, which is your answer :)
The function h(x) is after transformation is √(x + 5).
Option A is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The square root parent function is f(x) = √x, which starts from the point (0, 0) and increases as x increases.
To transform the parent function to h(x) starting from the point (-5, 0), we need to perform a horizontal translation of 5 units to the right.
This is because if we plug in x = -5 into the parent function,
We get f(-5) = √(-5), which is not a real number.
Therefore, we need to shift the function horizontally so that it starts from
x = -5.
The transformation of the square root parent function with a horizontal translation of 5 units to the right is given by the equation:
h(x) = √(x + 5)
This function starts from the point (-5, 0) and increases as x increases.
We can verify this by plugging in x = -5 to get h(-5) = √(0) = 0, which is the starting point of the function, and by observing that h(x) increases as x increases.
Thus,
The function h(x) is √(x + 5).
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