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

Answers

Answer 1

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.


Related Questions

In a survey a bunch of students were asked to name their favorite elective class. There were 15 students who chose "other". How many students participated?

Answers

other = 20 students which equals 25 percent, because math and english sum to 75 percent. if 25* 4 is 100, then you can do 20*4 to get 80, which is how many students participated

SOMEONE PLEASE GIVE ME THE CORRECT ANSWER AND ILL MARK BRAINLY

Answers

Answer:

The answer is 60 minutes.

Step-by-step explanation:

12 * 5 = 60

15 * 4 = 60

10 * 6 = 60

A bag of sugar contains 420g. A
special offer packet contains an extra
15%. Work out how much extra sugar
is in the special offer packet.

Answers

Answer:

63g extra

Step-by-step explanation:

420 x 0.15 =63 g

What is 4^2 - (3.1 + 6.4) + 4.5 pls show ur work

Answers

4^ 2-(3.1+6.4)+4.5

16 − ( 3.1 + 6.4 ) + 4.5

16 − 9.5 + 4.5

6.5 + 4.5

= 11
Answer: 11
How:
4^2 - (3.1 + 6.4) + 4.5
16 - 9.5 + 4.5
6.5 + 4.5
= 11

A drone is flying at kilometers per hour at a constant altitude of km above a straight road. The drone pilot uses radar to determine that an oncoming motorcycle is at a distance of exactly kilometers from the drone, and that this distance is decreasing at kph. Find the speed of the motorcycle. Note: Round to the nearest hundredth. Hint: At the end, remember to consider that the drone is moving towards the motorcycle at kph. Speed cannot be negative. Note: Round to the nearest tenth.

Answers

Answer:

Hello your question is poorly written attached below is the complete question

answer : 166.41 kph

Step-by-step explanation:

Given data :

Drone speed = 180 kph

Altitude of drone  = 1 km

distance of motorcycle from drone = 2 km

distance of motorcycle decreases at  200 kph

calculate the speed in kph of the motorcycle

attached below is a detailed solution of the problem

Daniel puts some wheat flour into an empty bowl. Then he add 2/3 cup rye flour to make a total of 2 5/12 cups of flour. How much wheat flour is in the bowl.

Answers

Answer:

1 3/4 cups of wheat flour is in the bowl

Step-by-step explanation:

x + 2/3 = 2 5/12

First, convert the 2/3 to 12ths by multiplying numerator and denominator by 4 = 8/12

Then convert the 2 5/12 to an improper fraction 29/12

x + 8/12 = 29/12

subtract 8/12 from both sides

x = 21/12 = 1 9/12 = 1 3/4

The volume of a right rectangular prism can be found by using the product 9(4)(1.1). Which expression could also be used to determine the volume of this prism?
O 11(9)(4)
O 9(4) + 1
0 32(11)
O 9 + 4 + 11

plss help fast ​

Answers

Answer:The answer is A)11(9)(4)

Step-by-step explanation:

If you have 9(4)(11) then is would be the one that look just like it but the number are moved like 11(9)(4)

Answer:

The Answer is 11 (9 + 4)

40% of the trees are 300 trees. How many trees are 20%?​

Answers

Answer:

150 trees

Step-by-step explanation:

If 40% of the trees is 300, you'd expect that 20% (half the percentage) is also half the trees.

Answer:

150 trees

Step-by-step explanation:

40 % / 2 = 20%

300 / 2 = 150 trees

please this is overdue​

Answers

Answer:

area is 15 square units

16 units for perimeter

Step-by-step explanation:

perimeter refers to the sum of all of the sides

if the width of this rectangle is 3 squres, and the length of the square is 5 squares then

3+3+5+5 = 16 units for perimeter

for area = length x width

since length = 5 and width = 3 then

5x3=15

so area is 15 square units

There are 156 people taking a boating safety course. The ratio of adults to students is 9 to 4. How many adults are taking the course?

Answers

108 adults and 48 students.

Consider a savings account earning annual compound interest with no additional deposits or withdrawals made after the initial deposit. The balance in the account after x years can be modeled by the function s(x) = 2.000(1.045) Which statement is the best interpretation of one of the values in this function? A) The initial balance of the account is $2,000. B) The balance in the account at the end of one year is $2,000. The initial balance of the account increases at a rate of 104.5% each year. D) The initial balance of the account decreases at a rate of 4 5% each year.​

Answers

Answer:

The initial balance of the account is $2,000.

Step-by-step explanation:

I took the test on usa test prep

Answer:The initial balance of the account is $2,000.

f(x) = abx, where a = initial value, b = change factor, and x = time period.

¿Qué porcentaje de niños prefieren la materia de español? Considera  que los 9 alumnos son igual al 100 %?​

Answers

Answer:

hold yo ablo espanol

Step-by-step explanation:

why is angle 3 congruent to angle 2​

Answers

Answer:

because it is intersecting I think

Step-by-step explanation:

What type of angles are ∠4 and ∠6?

I’ll mark brainiest

Answers

Answer:

angle 4 and angle 6 are ALTERNATE INTERIOR angles

Answer:

alternate interior

Step-by-step explanation:

hope it helps ;)

6 3/4"
What is 6 divided by 3/4

Answers

Answer:

8

Step-by-step explanation:

6÷[tex]\frac{3}{4}[/tex]

To make it easier, let's write 6 as a fraction.

[tex]6=\frac{6}{1}[/tex]

Now we get:

[tex]\frac{6}{1}[/tex]÷[tex]\frac{3}{4}[/tex]

Flip the numbers of [tex]\frac{3}{4}[/tex] and multiply instead of dividing and we get:

[tex]\frac{6}{1} *\frac{4}{3}=\frac{24}{3} =8[/tex]

Answer: 8

Step-by-step explanation:

6/1 * 3/4

cross multiply

8

Write an equation in the form y = mx + b

Answers

Answer:

y=-2x+8

Step-by-step explanation:

So I select 2 points:

(0,8) and (4,0)

so then I find the slope.

m = [tex]\frac{8-0}{0-4} \\=\frac{8}{-4} \\=\frac{2}{-1} \\=-2[/tex]

m = -2

Then the b (y-intercept) is 8, so equation is:

y=-2x+8

Hoped I helped ([P.S. I love math!)

Which value for x makes the sentence true? 1/10 + x = 1/7

Answers

Answer:

3/70

Step-by-step explanation:

change 1/10 and 1/7 so the denominator (bottom number) is the same.  1/10= 7/70 and 1/7= 10/70 so you need 3/70 to make the two numbers equal.

the perimeter of square is 48cm.its area is​

Answers

Answer:

144

Step-by-step explanation:

48cm divided by 4 sides equals to 12cm.

Area equals to 12cm times 12cm which is equal to 144 cm square

what is 1+1? pls, I need help. its for school

Answers

Answer:

its 2 :)

Step-by-step explanation:

Answer:

oh what a stiff XD

Step-by-step explanation:

ok 1+1=2 lol ❤️✌️ hey where you from I'm anmol kulkar from India

BRAINLIEST STARS

Find the area of the circle if r = 5 meters. Leave the answer in terms of pi.
A) A=100pi square meters
B) A=25pi square meters
C) A= 5pi square meters
D) A=10pi square meters

Answers

Answer:

B: A=25pi square meters

Step-by-step explanation:

Answer: 25pi square meters

Write an inequality that represents the graph below.

Answers

Answer:

x  ≤ -2

Step-by-step explanation:

The  arrow is going left meaning. It is less than -2. A closed dot means "or equal to". A open dot means" greater than/less than"(normal).

You can ask me to explain further if you need me to!! :)

I will give you brainliest whoever answers correct first !!

Answers

Answer:

34.4

Step-by-step explanation:

(54/11) --> ratio of one side of the larger triangle to the smaller one multiplied by 7 = 34.36363636... Rounding it to the nearest tenth is 34.4


Let's say we have a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow. What is the probability of picking a yellow marble, keep it, and then
picking a blue marble?

A 1/12
B 1/30
C 1/36
D 1/11


Answers

B. 1/30

Explanation: First you find the probability of picking a yellow marble, 1/6. Then you multiply the probability of picking a blue marble, 1/5 since there are now only five marbles total. Then multiply those to see what the final probability is, 1/6*1/5=1/30.

Find three consecutive numbers whose sum shall equal 45.​

Answers

Answer:

the three consecutive numbers are 14, 15, 16

Answer:

Since the consecutive numbers, so the first one is x, the next one is x+1, and so on....I hope this will help

Step-by-step explanation:

x + (x + 1) + (x + 2) = 45

x + x + 1 + x + 2 = 45

3x + 3 = 45

3x = 42

x = 14

Now that we know x = 14, let's add one to it.

x + 1 = 14 + 1 = 15.

Now we have our middle number, which is 15. You can always check your answer by adding 14 + 15 + 16 = 45. Whoo!

Help? Please lol um math is hard

Answers

Answer:

Ikr

Step-by-step explanation:

I used to be able to know what 1 + 1 but now I have no idea how to solve that

(Im jk btw lol)

Answer and explain ILL MARK BRAINLIEST I DONT UNDERSTAND

Answers

First let's reduce the feet to miles

there are 5280 feet in a mile therefore

26400 feet=5 miles

31680 feet=6 miles

Jet A(the first jet) descends 5 miles in 96 miles

Jet B(the second jet) descends 6 miles in 120 miles

We can compare these as fractions to see which is steeper. This can be viewed as slope and the origin (0,0) is the airport.

slope: 6/120=?=5/96

1/20=?=5/96

Now we know that 5/100 =1/20 so 5/96 must be bigger than 5/100 because you are dividing by a smaller number.

so 1/20<5/96

So Jet B is descending steeper than Jet A.

As for linear model, I don't exactly know what your teacher means but I think I actually used the linear model when I'm thinking of steepness as slope in the coordinate plane, I will include a picture.

In this extremely zoomed out graph, you can see the blue line is just slighly higher than the red line(slope as in explanation is way easier to tell) this could be seen as the linear model) :) Hope it helped!

PLZ HELP!!! WILL MAKE BRAINLIEST!!!!​

Answers

Answer:

205in. squared

Step-by-step explanation:

Two of the faces of the rectangular prism have a surface area of 37.5 and the other 4 have a surface area of 32.5. Adding them all together they have a surface area of 205.

Answer:

formula is S = 2(lw + lh + wh)

then you just plug in the numbers

2(7.5 x 5 + 7.5 x 6.5 + 5 x 6.5)

and solve

=237.5 in

Write 2 9/10 as an improper fraction.

pls hurry!
and pls explain how to do it

Answers

Answer:

29/10

Step-by-step explanation:

Answer:

[tex] \frac{29}{10} [/tex]

Step-by-step explanation:

[tex]2 \frac{9}{10} \\ \frac{2 \times 10 + 9}{10} [/tex]

#5
(10 pts) You are jumping on a trampoline. For one jump, your height y (in feet) above the trampoline after t seconds can
be represented by y = -16t² + 24t. How many seconds are you in the air?

Answers

Answer:

1.5 seconds

Step-by-step explanation:

i took a test with the same question

Answer:

1.5

Step-by-step explanation:

taking the test

Answer and explain please ILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

0.1x+0.25(102-x)=17.10

0.1x+25.5-0.25x=17.10

-0.15x=-8.4

x=56

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