Answer:
P(A and B) = 0.12
Step-by-step explanation:
Conditional Probability
Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event A has occurred, then the probability that event B occurs is given by:
[tex]{\displaystyle P(B\mid A)={\frac {P(B\cap A)}{P(A)}}}[/tex]
Where [tex]P(B\cap A)[/tex] is the probability that both events occur and P(A) is the probability that A occurs.
We are given P(A)=0.6, P(B\mid A)=0.2, and it's required to find P(B\cap A). Solving for the required variable:
[tex]P(B\cap A)=P(B\mid A)*P(A)[/tex]
[tex]P(B\cap A)=0.2*0.6=0.12[/tex]
P(A and B) = 0.12
A bouncy ball is dropped such that the height of its first bounce is 6 feet and each successive bounce is 72% of the previous bounce's height. What would be the height of the 6th bounce of the ball? Round to the nearest tenth (if necessary).
Answer:1.2
Step-by-step explanation:
The height of the 6th bounce of the ball will be 1.2 feet.
What is geometric sequence?
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
What is the formula for finding the nth term of geometric sequence?The nth term of the geometric sequence is given by
[tex]T_{n} =ar^{n-1}[/tex]
Where,
[tex]T_{n}[/tex] is the nth term.
r is the common ratio
a is the first term
According to the given question.
During the first bounce, height of the ball from the ground, a = 6 feet
And, the each successive bounce is 72% of the previous bounce's height.
So,
During the second bounce, the height of ball from the ground
= 72% of 6
= [tex]\frac{72}{100} (6)[/tex]
= 0.72 × 6
= 4.32 feet
During the third bounce, the height of ball from the ground
= 72% of 4.32
= [tex]\frac{72}{100} (4.32)[/tex]
= 3.11 feet
Like this we will obtain a geometric sequence 6, 4.32, 3.11, 2.23,...
And the common ratio of the geometric sequence is 0.72
Therefore,
The sixth term of the geometric sequence is given by
[tex]T_{6} = 6(0.72)^{6-1}[/tex]
[tex]T_{6} =6(0.72)^{5}[/tex]
[tex]T_{6} = 6 (0.193)[/tex]
[tex]T_{6} = 1.16 feet[/tex]
[tex]T_{6} = 1.2[/tex] feet
Hence, the height of the 6th bounce of the ball will be 1.2 feet.
Find out more information about geometric sequence here:
https://brainly.com/question/11266123
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Which method can be used to solve 11\times13?11×13?
The method that would be used to solve 11\times 13 is Multiplication So it would be: 11 x 13 which would equal to 143.
In math times means: Multiplication.
What value for x satisfies the equation below? 12(x-2)+3x=13(x+12)+10x
Answer: Exact Form: x = − 45 /2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Please help....................
Answer:
B = 31°
a = 18.9
b = 11.3
Step-by-step explanation:
✔️B = 180° - (90° + 59°) (sum of triangle)
B = 31°
✔️Use trigonometric ratio to find a:
Reference angle = 59°
Side opposite to reference angle = a
Hypotenuse = 22
Thus,
Sin 59 = a/22
Multiply both sides by 22
22*sin 59 = a
18.9 = a
a = 18.9 (nearest tenth)
✔️Use trigonometric ratio to find a:
Reference angle = B = 31°
Side opposite to reference angle = b
Hypotenuse = 22
Thus,
Sin 31 = b/22
Multiply both sides by 22
22*sin 31 = b
11.3 = b
b = 11.3 (nearest tenth)
4.012+ S equals 5.313
Answer:
S= 1.301
Step-by-step explanation:
5.313-4.012=S
The truck costs $ 9,068 including a 19% port tax. If the selling price is reduced by 20%. Find out the new car price before tax is added.
Answer:
$ 6096
Step-by-step explanation:
Let the cost of truck = x
x+19% of x = 9068
x + 0.19x = 9068
1.19 x = 9068
[tex]x = \frac{9068}{1.19}[/tex]
x = 7620.17
Reduction = 20% of 7620.17
= 0.20 * 7620.17
= $ 1524.03
New price = 7620.17 - 1524.03
= $ 6096.14
Riley doesn't want to wait that long before purchasing the refrigerator, so she decides to consider using
credit. After speaking with a store clerk, Riley learns that she qualifies for a special payment plan the
store offers. Why should Riley should consider the amount of interest associated with the payment
plan?
A. Interest decreased the cost of the new refrigerator
C.interest determines the amount of taxes Riley will Pat when she purchases the refrigerator
D.interest is the cost for borrowing money
70points!!!
Answer:
D.
Step-by-step explanation:
D is the best answer since you didn't provide a B. It's the one that makes the most sense.
Answer: I'm pretty sure it's C
Step-by-step explanation:
Most interest income is taxable as ordinary income on your federal tax return
what is 61÷207.4 again help me someone
Answer:
3.4
Step-by-step explanation:
I need help bad!!! Please help!
Answer:
Both Question (bottom right corner)
Step-by-step explanation:
Question 2 is obviously a variable because the amount of goals you can score in a game varies, one game it could be 10 then next it could be 5, But for question 1 the amount of work hours she puts in, (assuming she choses when to work and when not to) is also a variable because the amount she works varies from day to day.
Both these examples how data that varies from day to day.
Hope this helps!
A ski are offers two vacation package plans. Plan A gives one person four nights lodging and three dinners for $467. Plan B gives one person five nights lodging and four dinners for $593. Assuming that the lodging and dinner costs per night are the same for both plans, how much does one dinner cost?
Answer:
$37
Step-by-step explanation:
Plan A: 4n + 3d = 467
Plan B: 5n + 4d = 593
4n + 3d = 467
4n = 467 - 3d
4n/4 = 467/4 - 3d/4
n = 116.75 - 3/4d
5n + 4d = 593
5(116.75 - 3/4d) + 4d = 593
583.75 - 3.75d + 4d = 593
0.25d = 593 - 583.75
0.25d = 9.25
0.25d/0.25 = 9.25/0.25
d = 37
Need Answer Question Is In Photo.
Answer:
The correct answer would be bill
Step-by-step explanation:
Hope that's right! Hope it helps
Chu
Step-by-step explanation:[tex]\frac{x}{3}+4=7[/tex] (subtract 4 from both sides (4-4 and 4-7)
[tex]\frac{x}{3}=3\\[/tex] (multiply both sides by 3)
x=9
Alia has a AED 20 gift card for an online music store. All songs at the store have the same price. After Alia buys 3 songs, the balance on the card is AED 16.25. What will be the remaining balance on the card after he buys 5 more songs
Answer:
Remaining balance = AED 13.75
Step-by-step explanation:
Given that:
Amount of gift card = AED 20
Amount left after buying 3 songs = AED 16.25
Cost of 3 songs = 20 - 16.25 = AED 3.75
Cost per song = [tex]\frac{3.75}{3}[/tex]
Cost per song = AED 1.25
Cost of 5 songs = 5(1.25) = AED 6.25
Remaining balance = 20 - 6.25 = AED 13.75
Hence,
Remaining balance = AED 13.75
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!
$4x-5$ is less than 25$
Help me answer, please.
i hate math whats 5 + 5
If our school store purchased 144 mittens last year, and this year we would like to purchase 30% more than last year. How many mittens do we need to order this year?
Answer: It would be 43 mittens
Step-by-step explanation:
60% of what number is 348?
Answer:
208
Step-by-step explanation:
this is what I did. 348×.6
60% of 580 is 348 is the answer you're looking for
If you divide .6 by 348 you get 580.
To check your answer, you can do .4 (40%) multiplied by 580 to get 232
232+348=250 which is 100%
HELP MEEEEE this is so harddd. the picture is above.
Answer:
A)
Step-by-step explanation:
V=1/3([tex]\pi[/tex]r²)h
3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side
3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)
3V/(πr²)=h is the final answer so that matches A
HELP FAST!!!!!!!!!!!
Answer:
These are exactly 3 isosceles triangles
Step-by-step explanation:
Look at A, B, C.
There are exactly three isosceles triangles.
A, B, and D are isosceles triangles.
Each one has two congruent sides.
Tina is ordering pizza for a party.Peats pizza is offering a special of 4 pizza for $26. Pizza palace is selling 10 pizza for $75. If Tina need to order 40 pizza, should she order 10 orders of the 4-pizza deal or 4 orders of the 10-pizza deal?
Answer:
She should order 10 orders of the 4-pizza deal from Peat's Pizza
Step-by-step explanation:
Peat's Pizza deal:
4 x 10 = 40 | 26 x 10 = 260 | so if you choose the Peat's Pizza deal then Tina would have to pay $260.
Pizza Palace deal:
10 x 4 = 40 | 75 x 4 = 300 | so if you choose the Pizza Palace deal then Tina would have to pay $300.
Hope this helps :D
PLEASE SOMEONE I REALLY NEED HELP THIS IS DUE TODAY!!!!!!!!!!
Carla paints 34 of the fence in 1 hour. Which rates are equivalent to Carla’s rate of painting? SELECT ALL THAT APLLY.
A) 3/10 hour to complete 2/5 of the fence
B) 4/5 hour to complete 3/5 of the fence
C) 2/3 hour to complete 1/2 of the fence
D) 9/4 hour to complete 1/3 of the fence
I. A rhombus is a special type of square. II. A rectangle is a special type of rhombus. III. A trapezoid is a special type of parallelogram. Which of the above statements are true? i only iii only iii only None of the above statements are true.
Answer: I. only
--------------------------------------------------------------------------------------------------------------
Explanation :
II. False. a rectangle is a special type of rhombus since a rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal. The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.
I. True. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.
III. False. Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.
Help me pls it’s due today at 11:59
Answer:
A rotation followed by a translation
Would appreciate some help thanks
Answer:
f(8) = -9
Step-by-step explanation:
Substitute 8 in for x.
f(8) = -2(8) + 7
f(8) = -16 + 7
f(8) = -9
Wanna help a girl out
Answer: 3580.50
Step-by-step explanation:
Answer:
Step-by-step explanation:
$80.5 is the right answer.
We divide 3500 by 100 and then multiply the answer to 2.3 this my answer credits to WritingRaccoon
A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?
Answer:
Yes
Step-by-step explanation:
A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.
If a leaky faucet drips one ounce of water per minute approximately how many gallons per day is that
Answer:
Step-by-step explanation:
1hr=60mins
24hrs in a day
1hr=60oz
60oz x 24hrs =1440 oz
1440oz = 11.25gal
PLEASE MARK BRAILIEST
Samples G and H were selected from the same population of quantitative data and the mean of each sample was determined. The mean of sample G is equal to the mean of the population. Which of the following statements must be true?
I. The mean of sample H must also be equal to the population mean.
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.
a. I only
b. II only
c. III only
d. I and II
e. II and III
Answer: e. II and III
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.
Step-by-step explanation:
The point estimate simply means deriving a single value from a sample which could be used as a good or close estimate of the population from which the sample was drawn. A point estimator for the mean in the scenario above means a best guess of the mean value of the population from the sample mean.
Hence, since both sample G and H are drawn from the same population, both TG and TH which are mean of sample G and H can be used as a point estimator for the mean of the population.
However, it is does not necessarily mean that either the sample mean TG or TH must be equal to the population mean
4 p 2x + 3p 7x
Help please
Answer:
Hope this helps :O
Step-by-step explanation:
one gallon of gasoline in Buffalo New York cost $2.29 and Toronado Canada one liter of gasoline cost 91 cents there are 3.8 liters in one gallon how much does one gallon of gas cost in tornado round your answer to the nearest cent is the cost of gas crater in Buffalo or tonado how much GREATER