In Littletown, the probability that a baseball team goes to the city playoffs is
0.20. The probability that the team goes to the state playoffs given that the
team goes to the city playoffs is 0.50.
What is the probability that a randomly selected team from Littletown goes to
the city and state playoffs?
A. 0.15
B. 0.25
C. 0.10
Ο Ο
D. 0.20
SUBMIT

Answers

Answer 1

Answer:

C. 0.10

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:

Event A: Goes to the city playoffs

Event B: Goes to the state playoffs.

In Littletown, the probability that a baseball team goes to the city playoffs is 0.20.

This means that [tex]P(A) = 0.2[/tex]

The probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.50.

This means that [tex]P(B|A) = 0.5[/tex]

What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?

This is [tex]P(A \cap B)[/tex]. So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(A)*P(B|A) = 0.2*0.5 = 0.1[/tex]

The correct answer is given by option C.


Related Questions

I need help with number 9

Using the line of bets fit, about how much would you expect a kitten to weigh at 11 weeks?

Answers

Answer:

40 ounces

Step-by-step explanation:

Every week the kittens roughly gain about 5 ounces. The like was at 35 on week 10, so on week 11 it would be 40.

find the missing side of each triangle

Answers

Answer:

x=12

base ×hight=4×3=12

.

Answer:

The correct answer is 5

Reasoning:

c = √a2 + b2

= √32 + 42

= √25

= 5

Por favor ayúdenme??
A
B
C
D

Answers

Answer:

ITS B!!! AY

Step-by-step explanation:

Indicate which formula you would use to solve for the missing side B and then write your answer correct to two decimal places.Write only the formula down.. Single line text.

Answers

Answer:

44.04°

Step-by-step explanation:

We would use the Law of Sines, [tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} =\frac{sin(C)}{c} [/tex]

Applying the formula, let's find b°:

Thus:

[tex] \frac{sin(b)}{3.6} = \frac{sin(100)}{5.1} [/tex]

Cross multiply

[tex] sin(b)*5.1 = sin(100)*3.6 [/tex]

Divide both sides by 5.1

[tex] sin(b) = \frac{sin(100)*3.6}{5.1} [/tex]

[tex] sin(b) = 0.69516 [/tex]

[tex] b = sin^{-1}(0.69516) [/tex]

b = 44.0399685° ≈ 44.04° (2 decimal places)

what is the slope of line parallel to the line q?

A. 1/3
B. -3
C. -1/3
D. 3​

Answers

Answer:

C

Step-by-step explanation:

The line is negative therefore the slope will be negative.

The line goes down 1 and over 3 to get to the next even point.

-1/3 = slope

Factor −1/4 out of −1/2x−5/4y.

Answers

Answer:

srry got last one wrong

-1/4(2x + 5y)

Step-by-step explanation:

please give brainliest

Find an example of an inequality used in the real world and describe it using a number line.

Answers

Answer:

3 more than or equal to n:

<-------------3--2--1-   0   -1-2-3.------------->

Negative                            Positive

Jasmine likes to set placemats out on her dining room table. Her favorite placemats are circular. Each one has a radius of 5 inches. What is the area of ​​each placemat to the nearest tenth of a square inch?

Answers

Answer:

The answer is half of 5 to the nearest 10th

Step-by-step explanation:

Kianna's aquarium is "box-shaped" with dimensions of 5 ft by 1 ft by 8 in. What is the water capacity of her aquarium in gallons? Consider that 1 ft3 of liquid corresponds to 7.5 gallons of the liquid.

Answers

Answer:

volume of aquarium =l×b×h=5×1×8=40ft³

volume of aquarium in gallons=

40ft³×7.5gallons/ft³=300galloons

60 - 3d + 20 - 6 = 4d

Answers

60-3d + 20-6 =4d
74-3d =4d
-3d =4d -74
-7d = -74
D=74/7
7 is the answer I’m pretty sure

There are 7 girls and 3 boys in a class. Two students are to be
randomly chosen for a special project. What is the probability of
selecting a boy and a girl?

Answers

Answer:

7/15 is the probability of selecting a boy and a girl.

Step-by-step explanation:

Combination = nCr = n!/((n-r)!r!)

((7C1)(3C1))/(10C2)

= (7*3)/45

=21/45 = 7/15 the probability of selecting a boy and a girl.  

Question 7Partially correct answer. Your answer is partially correct. Try again.An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 13 of 19 repairs were successful while for shorter tears, 22 of 30 repairs were successful.(a) Is there evidence that the success rate is greater for longer tears

Answers

This question is incomplete, the complete question is;

An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 13 of 19 repairs were successful while for shorter tears, 22 of 30 repairs were successful.

a) Is there evidence that the success rate is greater for longer tears? Use alpha=0.05

Answer:

P-value = 0.6443

Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.

Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ =  [tex]p[/tex]₂

Step-by-step explanation:

Given the data in the question;

         Sample of tears greater than 25;

number of successive repairs X₁ = 13

number of repair n₁ = 19

proportion of successive repairs [tex]p[/tex]₁ = 13/19 = 0.68

q₁ = 1 -  [tex]p[/tex]₁ = 1 - 0.68 = 0.32

        Sample of tears shorter than 25;

number of successive repairs X₂ = 22

number of repair n₂ = 30

proportion of successive repairs [tex]p[/tex]₂ = 22/30 = 0.73

q₂ = 1 -  [tex]p[/tex]₂ = 1 - 0.73 = 0.27

so;

H₀ : There is no significant difference in the successive proportions;  [tex]p[/tex]₁ =  [tex]p[/tex]₂

Hₐ : The successive rate is greater for longer tears [tex]p[/tex]₁ >

Significance level ∝ = 0.05

Test Statistics

Z =  ([tex]p[/tex]₁ -

so we substitute

Z =  ( 0.68 - 0.73 / √[ (0.68 ×0.32 / 19) + ( 0.73×0.27 / 30 ) ]

Z = -0.05 / √[ 0.01802 ]

Z = -0.05 / 0.1342

Z = -0.37  

P-value for the given test, p = P( Z > -0.37 )

= 1 - P( Z ≤ - 0.37 )

= 1 - 0.35569

P-value = 0.6443

Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.

Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ =  [tex]p[/tex]₂

What symmetry is this shape?part a​

a. Reflection symmetry
b. Rotational symmetry
c. Translation symmetry
d. This figure is not symmetrical

Answers

Answer:

b. Rotational symmetry

Step-by-step explanation:

Hope it helps you in your learning process

solve the equation -3(w+12)=-16

Answers

Exact form: -20/3
Decimal form: -6.6
Mixed number form: -6 2/3

Divide. Round your answer to the nearest tenth.

Answers

the answer to your question is. 103.2

A triangle has one 40° angle and two 70° angles. Is this triangle equilateral?​

Answers

Answer:

No

Step-by-step explanation:

All angles have to be =

An ecologist is concerned that the number of toads that inhabit an area is declining. Since it is difficult to count the total number of toads exactly, a method that they use to detect the abundance of toads is to measure the time between mating calls during mating season. From a ten-year-old study, the mean time between mating calls was 1.2 seconds with a standard deviation of .3 seconds. Let X denote the random time between mating calls of these toads, and suppose X is normally distributed. The ecologist randomly selects a time between mating calls. Please compute the values up to three decimals ( ex: 0.571) Calculate the probability that the selected time is exactly 1.2 seconds

Answers

Answer:

0% probability that the selected time is exactly 1.2 seconds.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The probability of a value being equals to x is 0 in the normal distribution.

From a ten-year-old study, the mean time between mating calls was 1.2 seconds with a standard deviation of .3 seconds.

This means that [tex]\mu = 1.2, \sigma = 0.3[/tex]

Calculate the probability that the selected time is exactly 1.2 seconds?

In the normal distribution, the probability of a finding an exact value is 0. So 0% probability that the selected time is exactly 1.2 seconds.

The area of parallelogram WXYZ is approximately 45 square units.

Parallelogram W X Y Z is shown. Sides W Z and X Y are congruent. The lengths of sides W X and Z Y are 10 units. Angle W Z Y is 115 degrees.

Trigonometric area formula: Area = One-half a b sine (C)

What is the approximate perimeter of the parallelogram?

5 units
15 units
30 units
40 units

Answers

Answer:

30 units!

Step-by-step explanation:

Edge 2020, I got a 100% on the test

Answer:

30 units

Step-by-step explanation:

muah good luck guys!

The graphs of f(x), g(x) and h(x) are shown in the box above. Below that are the graphs of the reciprocal of two of the functions from the box above. Write a(x) and b(x) in terms of one of the functions listed in the box above. What do I do?

Then, sketch the reciprocal of the function that was not used in parts (a) or (b).

Answers

Answer:

As part of exploring how functions change, we can identify intervals over which ... We say that a function is increasing on an interval if the function values ... Graph of a polynomial that shows the increasing and decreasing intervals ... In this text, we will use the term local. ... As x gets large in the negative direction, the outputs.

Step-by-step explanation:

Eighteen out of every 24 people surveyed say they went to at least one movie in December. what fraction of the people surveyed went to a movie in December? ​

Answers

Answer:

3/4

Step-by-step explanation:

18/24

divide both sides by 6 to get 3/4

At the time of her​ grandson's birth, a grandmother deposits $2000 in an account that pays 6.5% compounded monthly. What will be the value of the account at the​ child's twenty-first​ birthday, assuming that no other deposits or withdrawals are made during this​ period?

Answers

Answer:

$41, 863. 50

Step-by-step explanation:

$2000 - 6.5% = $1,993.50

$1,993.50 x 21 = $41, 863. 50

1. Solve and show your work for each question.
(a) What is 0. 36 expressed as a fraction in simplest form?
(b) What is 0.36 expressed as a fraction in simplest form?
(c) What is 0.36 expressed as a fraction in simplest form?

Answers

Answer:

9/25

Step-by-step explanation:

3/10 + 6/100

3 is in the tenth place and 6 is in the hundredth place

rewrite the fractions as something over 100

so multiply the fraction 3/10 by 100; both numerator and denominator

this equals to 30/100 + 6/100

30 + 6 = 36/100

this can be simplified further by dividing 36 by 4 and dividing 100 by 4

this is equal to 9/25

I hope this helps

NEED HELP FOR HOMEWORK: Quadrilateral FGHJ was dilated with the origin as the center of dilation to create quadrilateral F' G′ H′ J′.


Which rule best represents the dilation that was applied to quadrilateral FGHJ to create quadrilateral F' G′ H′ J′?

A. (x, y) à (x - 2, y + 1)
B. (x, y) à (1.4x , 1.4y)
C. (x, y) à (x + 1, y + 2)
D. (x, y) à (5/7x, 5/7y)

Answers

Answer:

B

Step-by-step explanation:

Without even trying to figure out the solution you can tell it is b, because adding and subtracting to the x's and y's results in a translation. D is wrong because it would result in a smaller figure, so it is B

PLEASE HELP WITH THIS MATH SUM

David answered 60 questions in a test. For every correct answer, he received 4 marks. For
every incorrect answer, 7 marks were deducted from his final score. He scored 108 marks.
How many questions did David answer correctly?

Answers

Answer:

27 questions correct

Step-by-step explanation:

Well 108 marks and 4 marks for each correct,techinally you can’t subtract since 108 is the final score, and the thing was already subtracted so \divide.

108/4= 27

27 correct answers


How many questions did David answer correctly? David answered 48 questions correctly.

We’ll call the number of correct answers a, incorrect answers b.
60 questions on the test gives us:
a + b = 60
And the scoring gives us:
4a - 7b = 108

First we’ll solve for a in terms of b:
a = 60 - b
The we’ll substitute that value for a in the second equation to get a numerical value for b:

4(60 - b) - 7b = 108
240 - 4b - 7b = 108
-11b = -132
b = 12

Now we go back to the first equation and get a numerical value for a:
a = 60 -b
a = 60 - 12
a = 48

Check the math with the scoring equation:
4(48) - 7(12) =
192 - 84 = 108

Please lmk if you have any questions.

Please help, if you’re correct I’ll mark you as brainiest!!!

Answers

Answer:

B. -7.5%

Step-by-step explanation:

Original cost: 50 * $20 = $1000

Value after 1 year: $925

percent change in 1 year = (925 - 1000)/1000 * 100%

percent change = -7.5%

Answer: B. -7.5%

Please help, brainliest for correct answer

Answers

Answer:

180°

Step-by-step explanation:

the interior of every single triangle is 180°

if it doesn't add up to 180% something is wrong or it isn't a triangle

hope this helped, good luck

-cheesetoasty

At the play, sodas cost $2 and popcorn cost $3 during intermission. If your group bought a total of 18 items ar
spend $47, how many popcorns and how many sodas did you buy?

Will give brainly also no links

Answers

Answer:

7 sodas and 11 popcorns

Step-by-step explanation:

7 times 2 is 14

11 times 3 is 33

14+33= 47

They bought 18 items

What is the distance between J and K

Answers

Answer:

9 i think

Step-by-step explanation:

i don really know

What is the volume of the sphere below?
1.5
O A.
I units3
O B.
17 units 3
units3
500
3
RE
I units3

Answers

Answer:

ans is (D)500/3 π unit^3

Explanation :

Formula for volume of sphere is 4/3 π r^3 .

The volume of the sphere below is 500π/3 units³, the correct option is D.

What is the volume of sphere?

If the given sphere is of radius r units, then its volume is given as:

[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]

Suppose that radius of the considered sphere is of 'r' units.

Then, its surface area S would be:

[tex]S = 4\pi r^2 \: \rm unit^2[/tex]

We are given that;

The radius = 5

Now,

The volume of a sphere is given by the formula V = ⁴⁄₃πr³, where r is the radius of the sphere1. To find the volume of a sphere whose radius is 5 units, you need to plug in r = 5 into the formula and simplify it using arithmetic operations.

V = ⁴⁄₃πr³

V = ⁴⁄₃π(5)³

V = ⁴⁄₃π(125)

V = (4)(125)π/3

V = 500π/3

Therefore, by the volume of sphere formula the answer will be V = 500π/3 units³.

Learn more about volume of a sphere here:

https://brainly.com/question/381274

#SPJ7

pls me with this maths assignment

Answers

Answer:

56ft

Step-by-step explanation:

5+4+12+11+16+8=56

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