Supersonics Records plans to market a new record for a comeback artist nationwide. Management believes that there is a 70% chance that the new record will be a hit and, therefore, a 30% chance that the new record will be a miss. However, before resources are committed to market this new record nationwide, management will ask Mr. Deejay, a well-known authority in the music scene, to predict whether the new record will be a hit or a miss. Mr. Deejay's past predictions were quite impressive-che correctly predicted a hit record 80% of the time and incorrectly predicted a hit record only 10% of the time. Let H = The new record is actually a hit M = The new record is actually a miss DH = Mr. Deejay predicts the new record will be a hit Therefore, P(H) = 0.70 P(M) = 0.30 P(DH/H) = 0.80 P(DH/M) = 0.10 Based on these information, what is P(H and DH)? (That is, what is the probability that the new record is actually a hit (H) AND Mr. Deejay predicts the new record will be a hit (DH)?)
A. 0.56
B. 0.59
C. 0.95
D. Not enough information given to answer this question
E. None of the above
Answer:
A. 0.56
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:
We want to find [tex]P(H \cap DH)[/tex].
We can relate the numbers using [tex]A = H, B = DH[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(DH|H) = \frac{P(DH \cap H)}{P(H)}[/tex]
P(H) = 0.70 , P(DH/H) = 0.80
So
[tex]P(DH \cap H) = P(DH|H)*P(H) = 0.8*0.7 = 0.56[/tex]
The correct answer is given by option A.
cuanto es 8/9 x 15/16? porfaAa estoy en prueba
Answer:
=5/6
Step-by-step explanation:
happy to help ya :)
HELP HELP HELP!!! NUMBER 3 PLEASE!!!
Answer:
see the attachment, answers there
two numbers are in the ratio 3 is to 5 what is the ratio between the squares
You find that you receive on average about 3 pieces of junk mail per week. Find the probability that the number of pieces of junk mail you receive next week will be (a) none at all. (b) exactly four. (c) no more than two. (d) more than two g
Answer:
a) 0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.
b) 0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.
c) 0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.
d) 0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.
Step-by-step explanation:
We have only the mean, which means that we use the Poisson distribution to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
You find that you receive on average about 3 pieces of junk mail per week.
This means that [tex]\mu = 3[/tex]
(a) none at all.
This is P(X = 0).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]
0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.
(b) exactly four.
This is P(X = 4).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 4) = \frac{e^{-3}*3^{4}}{(4)!} = 0.1680[/tex]
0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.
(c) no more than two.
This is:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]
[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.224[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0498 + 0.1494 + 0.224 = 0.4232[/tex]
0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.
(d) more than two
[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.4232 = 0.5768[/tex]
0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.
According to Greg, the perfect cherry pies have a ratio of 240 cherries to 3 pies. How many cherries does Greg need to make 9 perfect cherry pies?
Answer:
720 cherries
Step-by-step explanation:
3 pies need 240 cherries so the equation would be:
3c = 240
so, c = 80
But, he needs to make 9 "perfect" pies so you make the equation:
9c = 80*9
9c = 720
So Greg needs 720 cherries to make 9 perfect cherry pies.
5. Choose the likelihood of a probability of 50 percent.
Event: November 25th will fall on a Monday
Certain
Highly likely
Less likely
Impossible
Answer:
well, highly likely. it will always fall on a monday,
Step-by-step explanation:
if you look at all of the years it has fallen on since 2010 you will see it has always fallen on monday.
f(x) = 4x - 9 step by step and put the right anwser so I can read it
1,2,3 or 4?
Look at the picture.
Thank u!
Answer:
option 2
4/7
Step-by-step explanation:
Multiply 4/3x3/7 = 12/21
now simplify 12/21 = 4/7
down the additive inverse of 4 by 7
Answer:
[tex] \color{magenta} \huge{ \boxed{answer}}[/tex]
The additive inverse of 4/7 is -4/7.hopefully help:)
Step-by-step explanation:
#CarryOnLearning3x^2 - 4X -3 discreet or continuous
Which sum is equivalent to 3/5 + 1/6?
A 6/10+2/10
B 12/30+5/30
C 18/30+5/30
D 3/11+4/11
Answer:
C 18/30+5/30
Step-by-step explanation:
Fractions scare me but I try
First we need to find the sum of 3/5 and 1/6
To do that we turn the denominators into common denominators.
[tex] \frac{18}{30} + \frac{5}{30} [/tex]
then we just add
[tex] \frac{18}{30} + \frac{5}{30} = \frac{23}{30} [/tex]
hope this makes sense
The invitations to a holiday party cost a total of $31.50 if each invitation cost $0.75 cents how many invitations were sent out
Answer:
42
Step-by-step explanation:
divide the total by the cost of each invite
Which of the following is true for a circle that has an area of approximately 113 square feet?
a
The diameter is 6 feet and the circumference is 38 square feet.
b
The radius is 6 feet and the circumference is 38 square feet.
c
The diameter is 6 feet and the circumference is 38 feet.
d
The radius is 6 feet and the circumference is 38 feet.
Answer:
radius is 6, diameter is 12, circumference is 38
Step-by-step explanation:
The area of a circle hs the following formula:
A = π*r², where r is the circle radius (distance from center to edge of circle)
So, we have A = 113 = π*r²
Divide both sides by π: 113/π = r²
Approximately: 35.97 = r²
Square-root both sides: 5.997 = r
So, the radius is about 6 feet
The circumference of a circle has the following formula:
C = π * D, where D is the diameter of the circle (distance from one side of circle to opposite side, through the center)
But the length of a diameter is just that of two radiuses. (This is obvious when the 2 radii are collinear.)
Since r = 6 feet, D = 12 feet, and the circumference C = 12 * π = 37.699, about 38 feet.
*** So the radius is about 6 feet, the diameter is about 12 feet, and the circumference is about 38 feet,
It lloks like b and d are identical. Typo. maybe?
Is 2 a solution of 4z + 12 = 4? Complete the statement.
Answer:
No im pretty sure its not a solution.
Step-by-step explanation:
See if “z” is 2 than the answer to the solution would be 20
Answer:
The solution is -2
Step-by-step explanation:
4z + 12 = 4
Subtract 12 on each side (4z + 12 - 12 = 4 - 12)
4z = -8
Divide 4 on each side (4z / 4 = -8 / 4)
z = -2
C = ?
when d = 25 m.
(C = circumference)
(d = diameter)
Answer:
12.5m
Step-by-step explanation:
I don't wanna type it lmco (laughing my cheeks off)
4. Write a fraction that is a multiple of 4/5
Answer:
multiply by any number to create a multiple
Step-by-step explanation:
4/5 = 8/10 = 12/15 = 16/20...
what is ( 5 x 1 ) + ( 5 x 1/3)
Answer:
The answer is 20/3
Step-by-step explanation:
(5 x 1 ) + ( 5 x 1/3)
5 + ( 5 × 1/3 )
5 + 5/3 = 20/3
solve each equation.
Answer:
1. D. 7, -13
2. A. no solution
3. C. 5, -9
Step-by-step explanation:
Find two positive numbers such that their product is 180 and the sum of the first number squared plus twice times the second is a minimum.
Answer:
3 and 60
Step-by-step explanation:
3 × 60 = 180
180 = 180
3² + 2(60)
= 9 + 120
= 129 minimum
what is dangerous about living for seven days on just one can of sardines?
Answer:
because you cant survive without enough food.
Step-by-step explanation:
Find the surface area of the rectangular prism.
2 in
2 in
4 in
Answer:
40 in
Step-by-step explanation:
I HAVE THE POWER OF GOD AND ANIME ON MY SIDE
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
At a sale this week, a suit is being sold for $217. This is a 38% discount from the original price. What is the original price?
Answer:
List price (original price) = $350
Discount amount ($ saved) = $133
Step-by-step explanation:
The list price is the sale price ($217) divided by the difference of 1 minus the result of the discount (38%) divided by 100.
A mixture of nuts contains 1 cup of walnuts for every 3 cups of peanuts write a linear equation that represents the relationships between penuts,x, and walnuts,y, Graph the line
Answer:
surfaces curving inward, so it makes parallel light rays curve outward or diverge. That's why concave lenses are sometimes called diverging lenses. ... The distance from the center of the lens to the focal point is, again, the focal length of the lens.
Step-by-step explanation:
Use the two-way table to answer the question.
A student surveys classmates to find out if they prefer muffins or cookies with or without nuts. The table summarizes the responses of the survey.
Part B
If a student prefers nuts, what is the approximate probability the student also prefers muffins?
O 11%
O 18%
O 31%
O 46%
Answer:
A.) 11%
Step-by-step explanation:
Step 1) There are 9 favorable outcomes but only 1 outcome is possible, so that leaves us with a fraction of: [tex]\frac{1}{9}[/tex]
Step 2) Then we need to turn this into a decimal to find the percentage:
1 ÷ 9 = 0.111111111...
Step 3) We now need to turn this into a percent:
0.11 x 100% = 11%
If the slope between the points (-5,7) and (4,x) is 1, then
what is the value of x?
9514 1404 393
Answer:
16
Step-by-step explanation:
The equation of a line with slope m=1 through the point (h, k) = (-5, 7) will be ...
y -k = m(x -h)
y -7 = x +5
y = x +12
Then for x = 4, the value of y is ...
y = 4 +12 = 16
The point is (4, x) = (4, 16), so x = 16.
Answer:
16
Step-by-step explanation:
Given that the slope of the line is 1 . And it passes through the points (-5,7) and (4,x) .We know that slope is difference of ordinate by difference of abssica . So that ,
[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies 1 =\dfrac{ 7-x}{-5-4} \\\\\implies 1 \times -9 = 7-x \\\\\implies -9 -7 = -x \\\\\implies \underline{\underline{ x = 16 }}[/tex]
Hence the required answer is 16 .
Question 1
If a coin is flipped 3 times, what is the probability that it will show all heads?
Create a tree diagram to help you answer this question.
O 1/8
O 3/8
O 1/2
1/4
Let t rep tail and h rep head
First tose= h or t
Second tose= h or t
Third tose= h or t
Counting the head and tail together
Then t= 3 and h=3
According to The formulae
3/6= 1/2
graph the parabola. Identify the vertex.
y=-5x^2
choose the correct graph below.
Answer:-5x^2
Step-by-step explanation:
Triangle EFG undergoes a dilation centered at the origin. The result is triangle E'F'G'. Which rule describes the dilation?
A) (x, y) → (2x, 2y)
B) (x, y) → (4x, 4y)
C) (x, y) → ( 1 4 x, 1 4 y)
D) (x, y) → (−4x, −4y)
Thea answer B) (x, y) → (4x, 4y)
Answer:
B
Step-by-step explanation:
i took test
Can somebody help me?