The probability that the Yankees would score fewer than 5 runs when they win the game is 0.32.
Let the events be A: Yankees win a game
B: Yankees score 5 or more runs
C: Yankees lose a game
D: Yankees score fewer than 5 runs
We are given the following probabilities:
P(A) = 0.56 (probability of winning)
P(B) = 0.46 (probability of scoring 5 or more runs)
P(C and D) = 0.32 (probability of losing and scoring fewer than 5 runs)
We want to find the probability of scoring fewer than 5 runs when they win the game, which is P(D|A).
We can use Bayes' theorem to find this probability:
P(D|A) = P(A and D) / P(A)
Using the definition of conditional probability:
P(D|A) = P(D and A) / P(A)
We know that P(D and C) = P(C and D), as both events represent the same outcome.
Using the fact that the sum of the probabilities of mutually exclusive events is equal to 1:
P(D and C) + P(B and C) = 1
Rearranging the equation:
P(D and C) = 1 - P(B and C)
Now, let's find P(D and A):
P(D and A) = P(D and A and C) + P(D and A and not C)
P(D and A) = P(D and A and C) + 0
P(D and A) = P(C and D and A)
Substituting the probabilities we have:
P(D|A) = P(C and D) / P(A)
P(D|A) = P(C and D) / P(C and D) + P(B and C)
P(D|A) = 0.32 / (0.32 + P(B and C))
We need to find P(B and C), which we can calculate using the given probabilities:
P(B and C) = P(C and B)
P(B and C) = P(C) - P(C and D)
P(B and C) = 1 - P(C and D)
P(B and C) = 1 - 0.32
P(B and C) = 0.68
Now we can substitute this value into the equation:
P(D|A) = 0.32 / (0.32 + 0.68)
P(D|A) = 0.32 / 1
P(D|A) = 0.32
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A book consists of 264 pages . Parul had read 3/4 of the book till yesterday . How many more pages she has to read?
Step-by-step explanation:
1/4 of the book = 66 pages
1/2 of the book = 132 pages
3/4 of the book = 132 + 66 = 198 pages
Answer:
66 pagesStep-by-step explanation:
Total pages = 264
No of page read =\( \frac{3}{4} \)( total pages)
\( = \frac{3}{4} \times 264\)
Reduce the numbers with GCF 4
\( = 3 \times 66\)
Calculate the product
\( = 198 \: pages\)
Parul read 198 pages of the book till yesterday.
Again,
No.of pages to be read :
Total pages - No.of pages read
= 264 - 198
= 66 pages.
Thus, She has to read 66 pages more.
Hope this helps...
Good luck on your assignment..
find the area of the parallelogram 15 cm 8 cm
Answer:
120
Step-by-step explanation:
15 ⋅ 8 = 120
Answer:
Step-by-step explanation:
The area of a parallelogram is the product of the base and height.
A=bh
A=15(8)
A=120cm^2
find the vector parametrization ????(????) of the line that passes through the points (2,5,3) and (6,9,6). (give your answer in the form ⟨∗,∗,∗⟩. express numbers in exact form. use symbolic notation and fractions where needed.
The vector parametrization for the equation of line passing through points (2,5,3) and (6,9,6) is: r(t)= (2i + 5j + 3k) + μ(6i + 9j + 6K).
WE know that parameterization of the a curve is provided by each vector-valued function.
Since the pair of equations x = x (t) and y = y (t) that express the coordinates of a point along a curve in terms of such a parameter is known as a parameterization of a curve.
Given passing points:
(2,5,3) and (6,9,6)
In vector form;
Let vector a = 2i + 5j + 3k
Let vector b = 6i + 9j + 6K
Let μ be any constant.
Then, using the vector parametrization:
The equation of line in vector form for the given points is;
r(t)= a + μb
r(t)= (2i + 5j + 3k) + μ(6i + 9j + 6K)
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Correct question:
Find the vector parametrization for equation of the line that passes through the points (2,5,3) and (6,9,6). (Give your answer in the form 〈∗,∗,∗〉. Express numbers in exact form. Use symbolic notation and fractions where needed.)
r(t)=?
The mean number of years Americans work before retiring is 34. Which of the following will be a Type I error? (A) We conclude that the mean is 34 years when it really is not 34 years. (B) We conclude that the mean is 34 years when it really is 34 years. (C) We conclude that the mean is not 34 years when it really is 34 years. (D) We conclude that the mean is not 34 years when it really is not 34 years.
Type I error is We conclude that the mean is not 34 years when it really is 34 years. The correct option to this question is C.
Rejecting the null hypothesis when it is in fact true is a Type I mistake. It entails drawing conclusions about outcomes that are statistically significant when, in fact, they were just the consequence of chance or unrelated causes.
The significance level you select (alpha or ) determines the likelihood that you will make this mistake. You determined that figure at the start of your research to determine the statistical likelihood of getting your results (p-value).
The typical significance level is 0.05 or 5%. If the null hypothesis is accurate, your results only have a 5% chance or less of occurring.
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Where does the electric field pierce the cylinder?
The electric field pierces the cylinder at the points where the field lines intersect the surface of the cylinder. The location of these intersections depends on the geometry of the cylinder and the distribution of charges.
For example, if the cylinder has a uniform charge distribution, the electric field lines will be perpendicular to the surface of the cylinder and will intersect it at every point. If the cylinder has a non-uniform charge distribution, the electric field lines may be curved and the intersections may occur at different angles.It is also possible for the electric field to pass through the center of the cylinder, which is known as the axial field.
This occurs when the charges are distributed symmetrically around the cylinder.Overall, the location of the electric field piercing the cylinder depends on the specific conditions of the system and can be determined using mathematical equations and physical principles such as Coulomb's Law and Gauss's Law.
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What is the image of (-4, 2) after a reflection over the y-axis?
Answer:
(4,2)
Step-by-step explanation:
x,y > -x, y
Perform the indicated operations. Write your answer in simplest form. 2x+3-x+4-2x^(2)+5x (x^(2)+3x-2)+(3x^(2)+2x+5) (9x^(2))/(3x) (3x-5)-(2x+2) ((x+1)(x-1))/(3(x-1)) 3x(4x^(2)-2x+6) (4x+8)/(2x+4) (x+2)^(2)
The simplified forms of the given expressions are:
1) 6x + 7 -\(2x^2\). 2) 4\(x^2\)+ 5x + 3. 3) 3x 4) x -7
5)(x + 1) / 3 6) \(12x^3 - 6x^2 + 18x\) 7) 2 8) \(x^2 + 4x + 4\)
Let's simplify each expression-
1.\(2x + 3 - x + 4 - 2x^2 + 5x\)
Simplifying the expression, we combine like terms:
\((2x - x + 5x) + (3 + 4) - 2x^2\)
\(6x + 7 - 2x^2\)
2.\((x^2 + 3x - 2) + (3x^2 + 2x + 5)\)
Simplifying the expression, we combine like terms:
\(x^2 + 3x - 2 + 3x^2 + 2x + 5\)
\((x^2 + 3x^2) + (3x + 2x) + (-2 + 5)\)
\(4x^2 + 5x + 3\)
3. \((9x^2) / (3x)\)
Simplifying the expression, we divide the numerator by the denominator:
\(9x^2 / 3x\)
\((9/3)(x^2/x)\)
3x
4. (3x - 5) - (2x + 2)
Simplifying the expression, we distribute the negative sign and combine like terms:
3x - 5 - 2x - 2
(3x - 2x) + (-5 - 2)
x - 7
5. ((x + 1)(x - 1)) / (3(x - 1))
Simplifying the expression, we cancel out the (x - 1) term:
(x + 1) / 3
6. \(3x(4x^2 - 2x + 6)\)
Simplifying the expression, we distribute 3x to each term inside the parentheses:
\(3x * 4x^2 - 3x * 2x + 3x * 6\)
\(12x^3 - 6x^2 + 18x\)
7. (4x + 8) / (2x + 4)
Simplifying the expression, we factor out 4 from the numerator and denominator:
(4(x + 2)) / (2(x + 2))
4/2 * (x + 2)/(x + 2)
2 * 1
2
8. \((x + 2)^2\)
Simplifying the expression, we expand the square:
(x + 2)(x + 2)
x(x) + x(2) + 2(x) + 2(2)
\(x^2 + 2x + 2x + 4\)
\(x^2 + 4x + 4\)
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If random variable X has a Poisson distribution with mean = 4.5, find the probability that X is more than 8. (That is, find P(X>8) (round to 4 decimal places) Can this be done in excel
The probability that X is more than 8 random variable X has a poisson distribution with mean 4.5 is 0.0017. Yes, you can find the probability that random variable X is more than 8 using an Excel formula.
To do so, you will need to use the POISSON.DIST() function, which is an Excel function for calculating the probability of a given number of events occurring in a fixed interval of time or space given a certain average rate of occurrence.
The syntax for this function is POISSON.DIST(x, mean, cumulative) where:
• x = 8 (the number of events you are looking for)
• mean = 4.5 (the average number of events you expect to occur)
• cumulative = TRUE (this returns the cumulative Poisson probability of all values equal to or less than x)
So, the formula you will use in Excel is =POISSON.DIST(8,4.5,TRUE) and the result will be P(X>8) = 0.0017 (rounded to 4 decimal places).
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Three more than a number j is at most 12
Answer:
j + 3 ≤ 12
Hope this helps :)
Solution, Explanation, & Check part below
Step-by-step explanation:
1. Isolate variable by doing the inverse operation which is subtracting 3 on both sides of the equation.
j + 3 ≤ 12
- 3 - 3
j ≤ 9
j can be any number that is less than 9 or equal to 9.
Check:
9 + 3 ≤ 12
12 ≤ 12
12 is equal to 12 ✓
Daniel and Edwin had a total of 500 coins. After Daniel spent 3/7 of his coins and Edwin spent 7 coins, the number of coins Daniel and Edwin had left was in the ratio 3:2.
(a) Find the number of coins Daniel had at first.
(b) All of Daniel's coins were 20-cent coins. How much money did Daniel have in the end?
Let, x and y denotes the number of coin Deniel and Edwin had first. Then we have:
x + y = 500 .....(i)
Since Daniel spent 3/7 of his coins means he has 4/7 of his coins remaining and Edwin had spent its 7 coins so he has y-7 coins are remaining. Also given the ratio of the number of coins remaining is 3:2. Hence,
(4x/7):(y-7) = 3:2
=> 8x/7 = 3y - 21
=> 8x/7 = 3( 500-x) - 21
=> 8x/7 = 1500 - 3x - 21
=> 29x = 1479*7
=> x = 357
So, the number of coins Daniel had at first is 357 coins.
Since Daniel’s remaining amount after spending some coins was 4/7 of its all coins and we know Daniel’s all coins were 20 cents coins. Hence, the money Daniel had in the end:Amount = (4/7)*357*0.20Amount = 40.8$
(a) The number of coins Daniel had at first:357
(b). The money Daniel had in the end:$40.8
Answer: Daniel had 134 coins at first.
All of Daniel's coins were 20-cent coins, he would have had 134 * 20 cents = $26.80 in the end.
Step-by-step explanation:
Let's solve the problem step by step:
(a) Let's assume Daniel had x coins at first. Edwin would have had 500 - x coins since they had a total of 500 coins.
After Daniel spent 3/7 of his coins, he would have (1 - 3/7)x = 4/7x coins left.
Edwin spent 7 coins, so he would have had (500 - x) - 7 = 493 - x coins left.
According to the given ratio, we have the equation:
(4/7x) / (493 - x) = 3/2
Cross-multiplying, we get:
2(4/7x) = 3(493 - x)
Simplifying, we have:
8/7x = 1479 - 3x
Combining like terms, we get:
11x = 1479
Dividing by 11, we find:
x = 1479/11 = 134
Therefore, Daniel had 134 coins at first.
(b) Since all of Daniel's coins were 20-cent coins, he would have had 134 * 20 cents = $26.80 in the end.
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Heyy this isn't a question on a problem or anything but I was just wondering your guys opinions
So you have a test, and it has 17 questions.
You got an 88% on it
Would you retake it again? or no?
Answer:
Do not retake the quiz that's almost an A.
32 divided by 10-8 divided by 2-3
Answer:
-3.8Step-by-step explanation:
32÷10-8÷2-332÷10-4-33.2-4-33.2-7-7.0-3.2-3.8answerThe expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.
To solve the expression "32 divided by 10-8 divided by 2-3," we follow the order of operations, which is often represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
32 divided by 10 equals 3.2.
Next, perform the second division which is 8 divided by 2 which equals 4.
Subtract the result of the second division (4) from the first division result (3.2): 3.2 - 4
= -0.8.
Finally, subtract 3 from the -0.8.
-0.8 - 3
= -3.8.
Therefore, the expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.
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Simplify the expression by combining like terms
7y - 6x + 3 – 2x + 8- y
hope that helps and plss let me know if you have any questions :))
Answer:
\(\boxed{ -8x + 6y + 11}\)
Step-by-step explanation:
\(7y - 6x + 3 - 2x + 8- y\)
\(= 7y + -6x + 3 + -2x + 8 + -y\)
Combine Like Terms:
\(= 7y + -6x + 3 + -2x + 8 + -y\)
\(= (-6x + -2x) + (7y + -y) + ( 3 + 8)\)
\(= -8x + 6y + 11\)
Hope this helped you!
Someone please help me out!!
Answer:
D 3/4
Step-by-step explanation:
imagine a circle with its center in point A and going through point C.
the radius of that circle is 50 (AC).
remember, tan of an angle is sin/cos of that angle.
now rotate in our imagination that triangle to the right around point A, so that the side AB becomes the bottom base line.
now you see that 30 = sin(A)×radius = sin(A)×50
and 40 = cos(A)×radius = cos(A)×50
so, tan(A) = (sin(A)×50)/(cos(A)×50) = sin(A)/cos(A) = 30/40
= 3/4
Latoya, michael, and juan have a total of $119 in their wallets. michael has $5 more than latoya. juan has 4 times what latoya has. how much does each have
A researcher is planning to compare the effects of two different types of lights on the growth of bean plants. She expects that the means of the two groups will differ by about 1 inch and that in each group the standard deviation of plant growth will be around 1.5 inches. Consider the guideline that the anticipated SE for each experimental group should be no more than one-fourth of the anticipated difference between the two group means. How large should the sample be (for each group) in order to meet this guideline
Therefore, the sample size for each group should be 139 in order to meet the guideline.
The formula for standard error is the standard deviation of the sample divided by the square root of the sample size. The formula for the estimated difference between means is the difference between the two means.
Given the researcher anticipates that the means of the two groups will differ by about 1 inch and that in each group the standard deviation of plant growth will be around 1.5 inches.
The following conditions must be satisfied for the anticipated SE for each experimental group to be no more than one-fourth of the anticipated difference between the two group means:n = [(Zc x s) / E]^2Where: n = sample sizeZc = the critical value (the critical value for a 95% confidence level is 1.96)s = the estimated standard deviation (1.5 inches in this case)E = the anticipated SE (0.25 x 1 inch = 0.25 inches)Putting the values into the formula;n
\(= [(1.96 x 1.5) / 0.25]^2= (2.94 / 0.25)^2= 11.76^2= 138.18\)
The sample size for each group should be 138.18 or 139 to meet the guideline.
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Find the area of circle Q in terms of x
Answer:
The answer is C 100πcm^3
Which angle in ▵XYZ has the largest measure?
A. ∠X
B. ∠Y
C. ∠Z
D. Cannot be determined
Answer:
i think the answer is B
Step-by-step explanation:
because z is 3 x is also 3 y is 5 so is the largest measure
What is the difference from the origin to point A graphed on the complex plane below?
Answer:
Origin is applicable for coordinate system. Distances are measured from origin and at a particular point distances are expressed in the form of coordinates.
Step-by-step explanation:
Which two integers is 8 between
IS THIS FUNCTION, ODD, EVEN, OR NEITHER?
Answer:
Below
Step-by-step explanation:
It is not even because f(x) does not equal f(-x) for all 'x'
It is not odd because f(x) does not equal - f(x)
so it is 'neither'
What is the radius of a cone whose volume is 50 cubic units and whose height is 6 units?
Answer:
Radius = 2.8
Step-by-step explanation:
V = 1⁄3 πr² × h
50 = 1⁄3 πr² × 6
50 = 1⁄3 × 22⁄7 × r² × 6
50 = 22⁄21 × r² × 6
50 = 22⁄21 × 6 × r²
50 = 6.286 × r²
50 = 6.286r²
50/6.286 = 6.286r²/6.286
r² = 7.954
r = √7.954
r = 2.820
Other answers
Answer:
radius r = 2.82094792 m
height h = 6 m
slant height s = 6.63006389 m
volume V = 50 m3
lateral surface area L = 58.7574113 m2
base surface area B = 25 m2
total surface area A = 83.7574113 m2
Jackie wants to buy some hair ties that each cost $5.95, and a lip balm that costs $2.15. She has $20. Use the guess, check, and revise strategy to determine the solution to the inequality 5.95h + 2.15 20, where h represents the number of hair ties that Jackie can buy without exceeding her $20.
Answer:
She can buy 3 hair ties
Step-by-step explanation:
5.95x3 =17.85 +2.15 = 20 on the dot
write in the simplest form 5.73 - ( -3.56)
Answer:
9.28
Step-by-step explanation:
"In the formula, P3 = Dx/(R − g), the dividend is for period:
a. four.
b. two.
c. one.
d. five.
e. three."
The dividend in the formula P3 = Dx/(R - g) is for period e. three.
In the given formula P3 = Dx/(R - g), the dividend, Dx, refers to the cash flow or payment made during a specific period. The subscript "3" in P3 indicates the period of time for which the dividend is associated.
In the given formula, P3 = Dx/(R - g), the subscript 3 represents the period of time for which we are calculating the dividend.
The dividend, Dx, represents the cashflow or payment made during a specific period. In this case, the dividend is associated with period 3.
Therefore, the dividend in the formula corresponds to period e. three.
The dividend in the formula P3 = Dx/(R - g) is for period e. three
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A machine that bottles apple juice is set so that every 6th bottle gets a red label and every 9th bottle gets a blue cap . What number bottle will be the first to a red label and a blue cap?
Answer:
the Answer im pretty sure is bottle #18
Step-by-step explanation:
HURRRYYYY
Evaluate the following expression: 7 + 3b + 4b use a=3 and b=5
Answer:
222222222222224.705876
Answer:
42
Step-by-step explanation:
You would substitute B where is needs to go, 7 + 3(5) + 4(5). First multiply 3 x 5 to get 15, and then multiply 4 x 5 to get 20, 7 + 15 + 20. 7 + 15 = 22 + 20 = 42. I hope this helps.
1. Which of the following equations exemplifies the Additive Identity Property?
A) 1+(7+8)=(1+7)+8
B) 8+1=1+8
C) 33+0=33
D) 14+3=7+10
2. Which of the following equations exemplifies the Multiplicative Identity Property?
A) 9.5x1=9.5
B) 3x10=2x15
C) 3x0=0x3
D) 9(5x6)=(9x5)6
i got A for 2. but im confused on the first
1. the equation that exemplifies the additive identity property is: C. 33 + 0 = 33.
2. The equation that exemplifies the multiplicative identity property is: A. 9.5 × 1 = 9.5.
What is the Additive Identity Property?The additive identity property states that the sum of adding zero to any number will give you the same number itself.
For example, 4 + 0 = 0.
What is the Multiplicative Identity Property?The multiplicative identity property states that a number multiplied by 1 will always give you a product that is the same number itself.
For example, 4 × 1 = 4.
1. The equation, 33 + 0 = 33, shows the additive identity property, because the sum is the same number itself after 0 is added to it.
2. The equation, 9.5 × 1 = 9.5, also shows the multiplicative identity property.
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<1 and <2 form a linear pair. The measure of <1 = (2x+8) and the measure of <2 = (8x + 22). What is the measure of <1?
Answer:
Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:
measure angle 1 + measure angle 2 = 180°
Since measure of angle 2 is six more than twice the measure of angle 1, therefore:
measure angle 2 = 2 (measure angle 1) + 6
hence, substituting this into the first equation:
measure angle 1 + 2 (measure angle 1) + 6 = 180
3 (measure angle 1) = 174
measure angle 1 = 58°
Therefore,
measure angle 2 = 2 (measure angle 1) + 6
measure angle 2 = 2 (58°) + 6
measure angle 2 = 122*
a vitamin company conducted a survey study that randomly sampled 500 people and asked all 500 of them if, in the past year, they: 1) regularly took vitamin supplements and 2) how often they had been ill. the study found that there was a statistically significant lower rate of illness in those people who took vitamins than in those who did not take vitamins. the company then claimed in its commercials that taking vitamin supplements reduces illness. what is the most serious rule of critical thinking that the company is breaking by making this claim?
The serious rule of critical thinking that the company is breaking by making this claim is that correlation doesn't equal causation.
What is the most serious rule of critical thinking that the company is breaking?Based on the information given, the vitamin company conducted a survey study that randomly sampled 500 people.
It should be noted that from the research, we can see that there's lower rate of illness in the people who took vitamins than those who don't.
In this case, we can understand the relationship between the variables but it doesn't imply that medicine is negatively correlated with the disease. Therefore, this doesn't imply causation.
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