This season, the probability that the Yankees will win a game is 0.51 and the probability that the Yankees will score 5 or more runs in a game is 0.56. The probability that the Yankees win and score 5 or more runs is 0.4. What is the probability that the Yankees would score 5 or more runs when they lose the game? Round your answer to the nearest thousandth.
Answers
The probability that the Yankees would score 5 or more runs when they lose the game is approximately 0.327, rounded to the nearest thousandth.
To find the probability that the Yankees would score 5 or more runs when they lose the game, we can use the concept of conditional probability.
Let's define the events:
A = Yankees win the game
B = Yankees score 5 or more runs
We are given the following probabilities:
P(A) = 0.51 (probability that Yankees win a game)
P(B) = 0.56 (probability that Yankees score 5 or more runs)
P(A ∩ B) = 0.4 (probability that Yankees win and score 5 or more runs)
We can use the formula for conditional probability:
P(B|A') = P(B ∩ A') / P(A')
Where A' represents the complement of event A (Yankees losing the game).
First, let's calculate the complement of event A:
P(A') = 1 - P(A)
P(A') = 1 - 0.51
P(A') = 0.49
Next, let's calculate the intersection of events B and A':
P(B ∩ A') = P(B) - P(A ∩ B)
P(B ∩ A') = 0.56 - 0.4
P(B ∩ A') = 0.16
Now, we can calculate the conditional probability:
P(B|A') = P(B ∩ A') / P(A')
P(B|A') = 0.16 / 0.49
P(B|A') ≈ 0.327
Therefore, the probability that the Yankees would score 5 or more runs when they lose the game is approximately 0.327, rounded to the nearest thousandth.
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Related Questions
Please help physics due in 30 mins!!!!
Answers
The work done is 3750 Joules on the box.
What is the recipe for work completed?To quantitatively express this concept, the work W is equal to the force f times the distance d, or W = fd. If the force is applied at an angle to the displacement, the work is W = fd cos.t.
The equation W = F * d * cos(theta), where W is the work done, F is the force applied, d is the displacement of the item, and theta is the angle between the force and displacement vectors, can be used to solve this problem.
The force in this instance is 500 N, and the distance is provided as 15 m, and the 60 degree angle between the vectors of force and displacement.
So, by changing these numbers in the equation, we obtain:
W = 500 N x 15 m x cos (60 degrees)
We can simplify this to: Applying the trigonometric identity cos(60 degrees) = 1/2
W = (500 N) * (15 m) * (1/2)
W = 3750 J.
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1- Prove the following for a matrix \( A \) \[ |A|=\prod_{i=1}^{n} \lambda_{i} \]
Answers
The equation for the determinant of A can be written as follows:|A| = λ1λ2…λn∏i=1nλi|A| = λ1λ2…λnThis shows that the determinant of A is equal to the product of its eigenvalues, λ1, λ2, …, λn. Hence, det(x1, x2, …, xn) = ∏i=1nλi.
The proof of the following for a matrix A;|A|=∏i=1nλi|A|=∏i=1nλi, can be explained as follows: We assume that A is a square matrix with n rows and n columns.
Suppose λ1, λ2, …, λn are the eigenvalues of the matrix A. According to the definition of the eigenvalue and eigenvector, the eigenvalue λi satisfies the following equation; Ax=λixwhere λi is the eigenvalue, x is the eigenvector and A is the matrix.
Using this equation, we can write the determinant of the matrix A as follows:|A| = det(A) = det(λi xi) = λi1det(x1, x2, …, xn)λin|A| = det(A) = det(λi xi) = λi1det(x1, x2, …, xn)λin
Where det(x1, x2, …, xn) represents the determinant of the matrix whose columns are x1, x2, …, xn. The determinant of a matrix is the product of its eigenvalues.
Hence, det(x1, x2, …, xn) = ∏i=1nλi.
The equation for the determinant of A can be written as follows:|A| = λ1λ2…λn∏i=1nλi|A| = λ1λ2…λnThis shows that the determinant of A is equal to the product of its eigenvalues, λ1, λ2, …, λn.
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I need help with this circumference problem!! find the circumference!
Answers
Answer:
28.26
Step-by-step explanation:
calculated the formula, (C= π*r*2). also that answer is rounded but that's probably what you need :)
≈ 28.27433 is your answer
INFO: I will be using: R = D ÷ 2 (R = radius which is the line extending from the middle to the end, D is diameter).
C = π • d = π • 9 ≈ 28.27433
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
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Use the equation below to find y, if m=3 ,x=4 , and b=9
y=mx +b
Answers
Answer:
y = 21
Step-by-step explanation:
y = 3(4) + 9
= 12 + 9
= 21
in 5-8, find each reciprocal. 5/9 8 7/3 1/12
Answers
the answer
155
324
5/9 (87/3(1/12)= 155/324
There are 8 guests at lincoln's party. if each guest will be served exactly 1/4 pint of ice cream, how many pints of ice cream will he need? express your answer in simplest form.
Answers
Answer:
2 pints
Step-by-step explanation:
if you add all of it up you get 2 pints.
1/4*8 = 2 pints
Solve for x what is the length
Answers
Step by step
We can use ratio to solve this
We can see 4:5 6:x
Cross multiply
4/5 = 6/x
4x = 30
x = 7.5
Add 6 + 7.5 = 13.5 is the length
Some steps to construct an angle MNT congruent to angle PQR are listed below. Step 3 is not listed:
Step 1: Use a compass to draw an arc from point Q which intersects the side PQ at point A and the side QR at point B.
Step 2: Draw a segment NT and use the same width of the compass to draw an arc from point N which intersects the segment NT at a point X.
Step 3:
Step 4: Join points N and Y using a straightedge.
Which statement describes step 3 correctly?)
A. Adjust the width of the compass to AQ, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
B. Adjust the width of the compass to NX, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
C. Adjust the width of the compass to BQ, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
D. Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Answers
The correct statement describing step 3 is:
C. Adjust the width of the compass to BQ, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Correct option is C.
In the given construction,
step 1 involves drawing an arc from point Q to intersect the sides PQ and QR at points A and B, respectively.
Step 2 involves drawing a segment NT and using the same width of the compass to draw an arc from point N to intersect the segment NT at point X.
To continue the construction and construct an angle MNT congruent to angle PQR,
step 3 requires adjusting the width of the compass to BQ. This means the compass should be set to the distance between points B and Q. Then, from point X, an arc is drawn that intersects the arc drawn from N at a point Y.
By completing this step, the construction creates an angle MNT that is congruent to the given angle PQR.
Correct option is C.
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I need awnser asappppppppppppppppppppppppppppp
Answers
| ^2 + 6 + 1 | = 8 Solve equation using by factoring or using formulas
Answers
| x^2 + 6x+1| = 8
There are two solutions to an absolute value equation, one positive and one negative
x^2 +6x+1 =8 and x^2 +6x + 1 =-8
We have to solve both sets of equations
x^2 + 6x +1 = 8
Subtracting 8 from each side
x^2 +6x +1 -8 =0
x^2 +6x -7 =0
Factoring
What two numbers multiply to -7 and add to 6
-1 *7 = -7
-1 +7 = 6
These are the factors that we use ( -1 and 7)
( x-1) (x+7)=0
Using the zero product property
x-1 =0 x+7 =0
x=1 x=7
Now
x^2 +6x + 1 =-8
Add 8 to each side
x^2 +6x + 1+8 =0
x^2 + 6x+9 =0
Factoring
(x+3) (x+3) =0
Using the zero product property
x+3 =0 x+3 =0
x=-3
The solutions are
x=-3, x=1 , x=-7
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Answers
Answer:
1/2
0.5
50%
Step-by-step explanation:
The square is spilt into 2 equal pieces, one out of the 2 is shaded therefore 1/2 is shaded. The decimal to represent the shaded area would be 0.5, as 1 times 1/2 = 0.5. As a percent the shaded area represents 50% as 1/2 times 100 (per cent = per hundred) is equivalent to 50.
I hope this helps :0).
A horticulturist wants to improve the soil quality in a garden by adding 120 pounds of nitrogen and 54 pounds of potassium. A pack of organic fertilizer contains 2 pounds of nitrogen and 3 pounds of potassium, and a pack of inorganic fertilizer contains 6 pounds of nitrogen and 2 pounds of potassium. How many packs of each type of fertilizer does the horticulturalist need to use? (Hint Write an equation for the total amount of nitrogen (120 pounds) obtained by adding the packs of both the fertilizers and another equation for the total amount of potassium (54 pounds) obtained by adding the packs of both the fertilizers.)
A organic fertilizer: 24 packs; inorganic fertilizer: 12 packs
B. organic fertilizer: 14 packs; inorganic fertilizer: 6 packs
C organic fertilizer: 15 packs; inorganic fertilizer: 8 packs
D. organic fertilizer: 9 packs; inorganic fertilizer: 17 packs
Е. organic fertilizer: 6 packs; inorganic fertilizer: 18 packs
Answers
x and y are the packs of organic and inorganic fertilizer, respectively.
pounds of nitrogen added = 2x + 6y = 120
pounds of potassium added = 3x + 2y = 54
eliminate the y terms. subtract the first equation from 3 times the second equation.
9x + 6y = 162
-2x - 6y = -120
------------------
7x = 42
x = 6
y = 18
A reflection is a type of transformation in which a figure is: Flipped OR Turned
Answers
Answer:
flipped
Step-by-step explanation:
A reflection is a transformation representing a flip of a image. images can be reflected in a plane, line, and point. When reflecting a image/figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line.
FLIPED is the answer
hope it helps leave a like pls
If a1 = -9, and an = -6 an-1, list the first five terms of an: . {a1, a2, a3, a4, a5}
Answers
The first five terms of the sequence are {-9, 54, -324, 1944, -11664}.Hence, the first five terms of the sequence are {-9, 54, -324, 1944, -11664}.
Given that a1 = -9 and an = -6an-1 to find the first five terms of an: {a1, a2, a3, a4, a5}
We have to use the formula an = -6 an-1 to find the next terms.
The first term a1 is given to us. So, a1 = -9
We can use the formula an = -6an-1 to find the next term using a1= -9 an1 = -6 * a1 = -6 * (-9) = 54
Thus the first two terms of the sequence are {-9, 54}.
We can use the formula an = -6an-1 to find the third term an2 = -6 * an1= -6 * 54 = -324
Thus the first three terms of the sequence are {-9, 54, -324}.
We can use the formula an = -6an-1 to find the fourth term an3 = -6 * an2= -6 * (-324) = 1944
Thus the first four terms of the sequence are {-9, 54, -324, 1944}.
We can use the formula an = -6an-1 to find the fifth term an4 = -6 * an3= -6 * (1944) = -11664
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A team of 10 volunteers is visiting families in a local community to deliver canned goods. It takes one volunteer 24 hours to complete one visit. What is the capacity of the team over the course of an 8-hour workday?
Answers
1/3 of the volunteers can complete the 8-hour workday
How to determine the capacity of the team
Total number of volunteers = 10
If it takes 1 volunteer = 24 hours = 1 day
It would take x number of volunteers = 8 hours
To find 'x' , cross multiply
We have,
x * 24 hours = 8 hours * 1
24x = 8
Make 'x' the subject of formula
x = 8/ 24
x = 1/3
Therefore, 1/3 of the volunteers can complete the 8-hour workday
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Given the equation startfraction 2 x 2 over y endfraction = 4 w 2 what is the value of x? x = y w y minus 1 x = 2 y w y minus 1 x = 2 y w y minus 2 x = 4 y w 2 y minus 2
Answers
The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
According to the given question.
We have an equation
2x + 2/y = 4w + 2
Since, we have to find the value of x for the given equation
2x + 2/y = 4w + 2
Thereofore,
2x + 2/y = 4w + 2
⇒ 2(x + 1)/y = 2(2w + 1) (taking 2 common from both the sides)
⇒ (x + 1)/y = 2w + 1
⇒ (x + 1) = y(2w + 1) (multiplying both the sides by y)
⇒ x + 1 = 2yw + y
⇒ x = 2yw + y - 1 ( subtracting 1 both the sides)
Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
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how many times larger is 1 meter than 1 centimeter
Answers
There are 100 centimeters in 1 meter. Therefore, 1 meter is 100 times larger than 1 centimeter.
One meter is 100 times larger than 1 centimeter. This is because the meter and centimeter are both units of length in the metric system, with the meter being the base unit. The prefix "centi-" in centimeter denotes a factor of 1/100. Thus, 1 centimeter is 1/100th of a meter. Therefore, to find how many times larger 1 meter is than 1 centimeter, we divide the meter by the centimeter: 1 meter / 1 centimeter = (1/100) meter/centimeter = 100. Hence, 1 meter is 100 times larger than 1 centimeter in terms of length.
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Triangle PQR was dilated according to the rule DO,2(x,y)(2x,2y) to create similar triangle P'Q'Q. On a coordinate plane, (0, 0) is the center of dilation. Triangle P Q R is dilated to create triangle P Q prime Q. Triangle P Q R has points (negative 2, 2), (negative 2, 4), and (negative 1, 2). Triangle P prime Q prime Q has points (negative 4, 4), (negative 4, 8), and (negative 2, 4). Which statements are true? Select two options. ∠R corresponds to ∠P'QQ'. ∠PQR corresponds to ∠QPQ'. Segment QQ' is parallel to segment PP'. Side RQ corresponds to side QQ'. △PQR ≅ △P'Q'Q
Answers
Answer:
i second the answers 1 (∠R corresponds to ∠P'QQ') & 4 (Side RQ corresponds to side QQ')
Step-by-step explanation:
e d g e 2020
have a good day bruvs :)
Answer:
1 and 4. got it right edu2020.
Step-by-step explanation:
Triangle PQR was dilated according to the rule DO,2(x,y)(2x,2y) to create similar triangle P'Q'Q.
On a coordinate plane, (0, 0) is the center of dilation. Triangle P Q R is dilated to create triangle P Q prime Q. Triangle P Q R has points (negative 2, 2), (negative 2, 4), and (negative 1, 2). Triangle P prime Q prime Q has points (negative 4, 4), (negative 4, 8), and (negative 2, 4).
Which statements are true? Select two options.
∠R corresponds to ∠P'QQ'.
∠PQR corresponds to ∠QPQ'.
Segment QQ' is parallel to segment PP'.
Side RQ corresponds to side QQ'.
△PQR ≅ △P'Q'Q
complete each
1. 570 mL = _______________ L
2. 623 cm3 = _______________ m3
3. 38 gal. = _______________c
4. 585mL = ________________tbsp
5. 20 fl. oz. = ________________ tsp
6. 12 hrs =________________ min
Answers
Answer:
1. 570 mL = 0.57 L
2. 623 cm3 = 0.000623 m3
3. 38 gal. = 608 cups
4. 585mL = 39.5624 tbsp
5. 20 fl. oz. = 120 tsp
6. 12 hrs = 720 min
Step-by-step explanation:
1. 570 mL to L
divide the volume value by 1000, 570 / 1000 = 0.57
2. 623 cm3 to m3
divide the volume value by 623/10^6 = 0.000623
3. 38 gal. to c
1 gallon is 16 cups,
multiply the volume value by 16, 38 x 16 = 608c
4. 585mL to tbsp
for an approximate result, divide the volume value by 14.787
14.787 x 585 = 39.5624
5. 20 fl. oz. to tsp
multiply the volume value by 6, 20 x 6 = 120
6. 12 hrs to min
1 hour is 60 minutes
multiply the time value by 60
12 x 60 = 720
Giving right answer a branleist
Answers
distributive property is not use in this example and therefore you would leave the blanks empty
Bob and Latoya both drove to a baseball game at a college
stadium. Bob lives 70 miles from the stadium and Latoya lives
60 miles from it, as shown in the accompanying diagram. Bob
drove at a rate of 50 miles per hour, and Latoya drove at a rate
of 40 miles per hour. If they both left home at the same time,
who got to the stadium first?
Answers
Answer:
Bob arrived 1 minute earlier than latoya
Step-by-step explanation:
Bob's time
= 70/50 = 1.4 hours
Latoya's time
= 60/40 = 1.5 hours
If they both left home at the same time, who got to the stadium first.
Solve
PLEASE HELP AND HURRY!
Answers
Answer:
it's -7 1/3 because since the equation is all negative you would just simply add the -5 and -2 1/3
is the sum of the integers x and y a prime number? (1)x is an even prime number. (2)y is a prime number between 10 and 20.
Answers
Based on the given information, we know that x must be 2 since it is the only even prime number. We also know that y must be either 11, 13, 17, or 19 since those are the only prime numbers between 10 and 20.
So, the sum of x and y can be 2 + 11 = 13, 2 + 13 = 15, 2 + 17 = 19, or 2 + 19 = 21.
Out of these four possible sums, only 13, 17, and 19 are prime numbers. Therefore, we can say that the sum of x and y may or may not be a prime number, depending on the specific values of x and y.
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Use the rock cycle provided
to explain how each of the
following rocks are formed:
• igneous rock
• sedimentary rock
• metamorphic rock
Answers
sedimentary rock- when pieces of rock are loosened by weathering, then transported to some basin or depression where sediment is trapped, if the sediment is buried deeply it become compacted and cemented forming the rock.
Metamorphic rock- when rocks are subjected to high heat, high pressure, hot mineral-rich fluids, or more commonly, some combination of these factors
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x - 2y = -10
Answers
Answer:
y=x+5
Step-by-step explanation:
Hope this helps! ; D
The right rectangular prisms are similar. which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.
Answers
The true statement about the right rectangular prisms include:
The angles in the smaller prism measure 90 degrees.The perimeter of the rectangular bases changes by a factor of 2.The rectangular bases changes by a factor of 4.How to illustrate the prism?It should be noted that a prism simply means a shape that has two identical shapes that face each other.
Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.
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Triangle ABC will be dilated according to the rule D Subscript F, 0.25(x,y), where point F is the center of dilation.
Answers
The coordinates of vertex A' of the image include the following: d. (1, 0).
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.
Next, we would have to dilate the coordinates of the preimage by using a scale factor of 0.25 centered at the point F (3, 1) by using the following mathematical expression:
(x, y) → (k(x - a) + a, k(y - b) + b)
For coordinate A', we have;
Coordinate A' = (-5, -3) → (0.25(-5 - 3) + 3, 0.25(-3 - 1) + 1)
Coordinate A' = (-5, -3) → (0.25(-8) + 3, 0.25(-4) + 1)
Coordinate A' = (-5, -3) → (-2 + 3, -1 + 1)
Coordinate A' = (-5, -3) → (1, 0)
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Complete Question:
Triangle ABC will be dilated according to the rule \(D_{F, 0.25(x,y)}\), where point F is the center of dilation.
What will be the coordinates of vertex A' of the image?
a. (-8,-4)
b. (-2,-1)
c. (0, 0)
d. (1, 0)
6+6+6+6 whats the answer
Answers
Answer:
24
Step-by-step explanation:
first do 6+6, which is 12,
then do 6+6, which is 12,
now do 12+12
this is 24
quick maths
23. Jeremy is two years older than Rachel. The sum of the ages of Jeremy and Rachel is less
How old could Jeremy be?
Let
Inequality:
Answers
The age of Jeremy could be less than 22 years
How to determine how old Jeremy could be?From the question, we have the following parameters that can be used in our computation:
Jeremy = Rachel - 2
Let Jeremy = x and Rachel = y
So, we have
y = y - 2
Their ages added together is less than 46
So, we have
x + y < 46
This gives
x + x + 2 < 46
So, we have
2x < 44
Divide
x < 22
Hence, Jeremy could be less than 22 years
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Question
Jeremy is two years older than Rachel. The sum of the ages of Jeremy and Rachel is less than 46
How old could Jeremy be?
4. A pizza shop has 12" pizzas with 6 slices and 16" pizzas with slices. Which pizza has bigger slices?