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.
Nine more than the quotient of a number and 5 is -22
Answer:
number is -155
Step-by-step explanation:
let the number equal 'x'
quotient means divide
nine more means plus 9
quotient of a number and 5 means x divided by 5
9+ x/5 = -22
now to solve for x
x/5 = -31
x = -155
Given the points (8,9) and (2,7) find the slope M=
Answer:
1/3
Step-by-step explanation:
7-9=-2
2-8=-6
2/6 is 1/3 when simplified
Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = x-4
h(x) = 3/4x
h(x) = 1/4x
Name at least 5 angles for this diagram
Congruent Angles
Vertical Angles
Adjacent Angles
Complementary Angles
Supplementary Angles
Answer and Step-by-step explanation:
Question 3.
Angle HKL is supplementary to Angle HKJ
Angle K is vertical to Angle K
Angle HKL is adjacent to Angle HKL
Angle K is congruent to Angle K
Question 4.
Angle RUS is supplementary with Angle RUV
Angle RUS is vertical to Angle VUW
Angle WUT is adjacent with Angle RUT
Angle RUS is complementary with Angle TUS
Angle WUT is congruent to Angle RUT
Angle WUS is vertical to angle VUR
#teamtrees #PAW (Plant And Water)
Someone help me with this math problem
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Linear equations.
To get value of y, we equate the equation to Zero.
hence,
4.5(6y-8.8)/3 = 0
===> 6y -8.8 = 0
===> 6y = 8.8
==> y = 8.8/6
==> y = 1.466
I need help please...............
Step-by-step explanation:
nakita ko lang po kung ayaw nyo ed don't
I really need this answer please help
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y = -16x2 + 136x + 57
Answer:
Maximum height = 346 feet
Step-by-step explanation:
Given that,
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation as follows :
[tex]y = -16x^2 + 136x + 57[/tex] .....(1)
We need to find the maximum height reached by the rocket. For maximum height,
Put dy/dt = 0
So,
[tex]\dfrac{d}{dt}( -16x^2 + 136x + 57)=0\\\\-32x+136=0\\\\x=\dfrac{136}{32}\\\\x=4.25[/tex]
No, put x = 4.25 in equation (1).
[tex]y = -16(4.25)^2 + 136(4.25)+ 57\\\\y=346\ feet[/tex]
So, the maximum height reached by the rocket is equal to 346 feet.
The students will place a 10-inch ribbon on each stalk so that they can write the year and the height of the tree on it for reference. They will plant all 50 trees.
Answer:
i can´t enter the page
Step-by-step explanation:
Which number line shows the solution to x>7?
Answer:A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
2/5 - 3/5 ? Subtracting fractions
-1/5Answer:
Step-by-step explanation:
Please can someone answer this I don’t get it!!! 5 points and Brainly:)
Answer:
the answer will be 39cm yes
the simplified form of (2^a)(2^b)(2^c) is
Answer:
Step-by-step explanation: hope this helps!
Which measure is equivalent to 4 feet 5 inches?
Answer:
53
Step-by-step explanation:
4ft x 12 = 48 in
48 in+ 5 in= 53
4 feet and inches will be equal to 53 inches .
Given,
4 feet 5 inches
Now conversion of inches to feet,
Few unit conversions,
Conversion Factors:
1 mile = 5280 feet
1 foot = 12 inches
1 inch = 2.54 cm
1 cm = 10 mm
1 second = 1 s
1 feet = 12 inches
Here we need to convert feet into inches,
So,
1 feet = 12 inches
4 feet = 48 inches
Hence the height will be,
48 inches + 5 inches = 53 inches
Learn more about conversions,
brainly.com/question/28600662
#SPJ6
There are 26 songs in a playlist. Jackson adds some more
songs to the playlist. Which equation models how many
songs a are in the playlist after Jackson adds s more songs
to the playlist?
Pls I need help with it
I will gicve you 80 points if answered correctly
Answer:
3. A = (0,-3)
B = (4,-2)
C = (-1,1)
4. A = (0,-6)
B = (4,-5)
C = (-1,-2)
Step-by-step explanation:
3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).
4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.
So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).
I hope this helped you.
4. The fourth grade went on field trip to the art museum. There are 3 classes
that have 14 students each. Each class also brought 2 teachers. If each bus
can hold 20 people, how many total buses will they need to for all the
teachers and students?
14
3
Answer: They will need 3 total buses to fit all of the teachers and students.
Step-by-step explanation: If there are 14 students and 2 teachers with each class, that is a total of 16 people. Multiply 16 by 3 and you get 48 total people going on the field trip. Divide 48 by 20 and you get 2.4, which means two buses will be filled up to the max and they will need an extra bus to fit the rest. Hence, your answer: 3 total buses.
The area of the triangle below is 23.4 square inches. What is the length of the base?
6 in is the height
Answer:
543
Step-by-step explanation:
i am smart
Can someone please tell me if this is right or what the right answer is pleaseeeeee
D.
Step-by-step explanation:
You've got it right, the entire graph goes 3 units down, and shifted 1 to the left by p(x+1).
Solving Systems of Equations using substitution
Y= -6x - 10
Y= x + 4
The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter.
Two cells are measured using this method:
Cell G: 4.21 x 10-3 centimeters
Cell H: 9.2 x 10-4 centimeters
How many times larger is the diameter of cell G than the diameter of cell H?
Write your answer in standard notation, rounding to the nearest tenth.
Answer:
Step-by-step explanation:
The answer is 6.868 10
The number of times that diameter of cell G is larger than diameter of Cell H is; 46 × 10¯¹ times
We are given;
Diameter of Cell G = 4.21 × 10^(-3) cmDiameter of Cell H = 9.2 × 10^(-4) cmNow, to find how much more larger the diameter of cell G is than diameter of cell H, we will divide the diameter of cell G by the diameter of cell H to get;
(4.21 × 10^(-3))/(9.2 × 10^(-4)) = 4.6
Thus,diameter of cell G is 4.6 times larger than diameter of Cell H
Read more about ratios at; https://brainly.com/question/2784798
Can someone help me I’ll give brainlist
guys please HELP ASAP!!!!!!!
In which of the following expressions does the number 24 fill in the blank so that the equation is true? Select all that apply.
A) 8(3 + 5) = ___ + 40
B) 12(2 + 7) = ___ + 84
C) 8(4 + 2) = ___ + 16
D) 6(3 + 4) = 18 + ___
c
blahblahblahblahblahblahblah
Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on
Solve and graph the following inequality: 4x + 5 > 13
Answer:
Option (1)
Step-by-step explanation:
Given inequality is.
4x + 5 ≥ 13
We will further solve this inequality,
(4x + 5) - 5 ≥ 13 - 5
4x ≥ 8
[tex]\frac{4x}{4}\geq \frac{8}{4}[/tex]
x ≥ 2
Therefore, on a number line solution of x will be all values of x greater than equal to 2.
Which will be represented by and arrow starting with a solid point from x = 2 directing towards numbers greater than 2.
Option (1) will be the answer.
Helppppppp I need help on this question pleaseeeeeeeeeeeeeee
Answer:
r=22
Step-by-step explanation:
Help&EXPLAIN
What is the volume of a triangular pyramid that is 6 inches tall and has a base area of 7 square inches ?
Step-by-step explanation:
answer is 14 in ^3 . hope u get it
At a local hardware store, Ms. Jones learned that 1 would cost her $.50, 12 would cost $1.00, and the price of 144 would be $1.50. What was Ms. Jones buying?
Answer:
how the heck would I know what she's buying the question itself doesn't even state that
Please help me find all the missing angles
Answer:
Look at image I attached below.
Step-by-step explanation:
Important points to memorize when finding missing angles like these:
Two angles directly across from each other, not next to, are equal. All angles that are on one side of a straight line add up to 180°, because a straight line has an angle measure of 180°.A full spin-around equals 360°. All angles in any triangle add up to 180°.When you know all these important rules, the rest is just a matter of adding and subtracting.