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.
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
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
two numbers are in the ratio 3 is to 5 what is the ratio between the squares
A small bucket holds 75% as much as a large bucket.If the small holds 36 units,how much does the large hold?
Answer:
48
Explanation:
36÷75=
0.48
The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly of the workers interviewed are union members
Answer:
The probability that exaclt x of the members are union members from the n interviewed is given by:
[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]
Step-by-step explanation:
For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution 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.
About 96% of all workers employed by the university belong to the workers' union.
This means that [tex]p = 0.96[/tex]
What is the probability that exactly of the workers interviewed are union members
We want probability of x, from n workers interviewed. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]
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
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...
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 .
The following system of inequalities shows the relationship between two numbers, where the value of x is less than the value of y,
and both numbers are integers.
Which solution is valid within the context of the situation?
Answer:
(-1,5)
Step-by-step explanation:
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.
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)
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
3x^2 - 4X -3 discreet or continuous
You are at a restaurant and the check comes to a total of $20. If you want to leave a 20% tip, how much total money should you pay, to the nearest cent?
Answer:
the total tip should be $24.00
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 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
solve each equation.
Answer:
1. D. 7, -13
2. A. no solution
3. C. 5, -9
Step-by-step explanation:
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.
f(x) = 4x - 9 step by step and put the right anwser so I can read it
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
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:
#CarryOnLearningAccording 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.
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.
cuanto es 8/9 x 15/16? porfaAa estoy en prueba
Answer:
=5/6
Step-by-step explanation:
happy to help ya :)
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
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%
I Question 7 (2 of 13)
Find area of shaded region. Round to the nearest tenth.
50 cm
radius: 20 cm
80 cm
Enter your answer by clicking the bubbles.
HELP HELP HELP!!! NUMBER 3 PLEASE!!!
Answer:
see the attachment, answers there
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: