The probability that the Yankees will lose when they score fewer than 5 runs is 0.821 (nearest to the thousandth).
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
Lets suppose here that:
A = event that Yankees win a gameB = event that Yankees will score ≥ 5 in a gameSuppose A' and B' are their complementary events, then we have:
A' = event that Yankees will lose a gameB' = event that Yankees will score < 5 in gameThen, by the given data, we have:
[tex]P(A) = 0.56\\P(B) = 0.61\\P(A' \cap B') = 0.32[/tex]
We've to find [tex]P(A' | B')[/tex]
Using chain rule, we have:
[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')}[/tex]
Since P(B') = 1-P(B) = 100.61 = 0.39, therefore, we get:
[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')} = \dfrac{0.32}{0.39} \\\\P(A'|B') \approx 0.821[/tex]
Thus, the probability that the Yankees will lose when they score fewer than 5 runs is 0.821
Learn more about probability here:
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The circle has a diameter of 16 inches. What is the area of the circle, rounded to the nearest square inch?
Answer: Letter B)
A=πr2
d=2r
A=1
4πd2=1
4·π·162≈201.06193
Step-by-step explanation:
Hope this Helps! : )
B
Your answer is B, your welcome.
Please help Ill give brainliest
Answer:
2. 13
4. 18
6. 14
Step-by-step explanation:
2. (5 x 2/5) = 2
20/2=10
10+3 = 13
4. (6/2+8) = 11
2 x 11 = 22
22-4 = 18
6. (8-2/2) = 7
21/3 = 7
7 + 7 = 14
Answer:
13, 18, 14
Step-by-step explanation:
which inequality represents the sum
of x and y is at most 15?
a.)x-y_>15
b.)x-y_<15
c.)x-y>15
d.)x-y<15
Answer:
x+y≤15
Step-by-step explanation:
We need to write an inequality that represents the sum of x and y is at most 15. At most in inequality is defined as less than or equal to i.e. ≤.
Sum of x and y means x+y
The inequality becomes,
x+y≤15
Hence, the correct option is (b).
The inequality which represents the sum of x and y is at most 15 is; Choice (b) x+y_<15
According to question;
We are required to determine the inequality that represents the sum of x and y is at most 15.In essence, the sum of x and y is either equal to or lesser than 15.
Therefore, the inequality is Choice B; x+y_<15
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Which is the graph of f(x) = 3^x.
the mean age of swimers for all of these teams is 10. what does a large mad tell you.eade help
Mrs jones uses 1/2 of a block of cheese to make packed lunches each day. how many days will 3 blocks of cheese last for?
Answer:
6 days
Step-by-step explanation:
Answer:
6 days
Step-by-step explanation:
1 day=1/2
2 day=1
3 day=1 and 1/2
4 day=2
5 day=2 and 1/2
6 day=3
hope this helps :)
I need help with the questions I circle only.
Answer:
3:12
4:36
Step-by-step explanation:
( pls dont report me let me kno if it wrong and i will fix it
8th grade math, please help.
9514 1404 393
Answer:
282.74 units³
Step-by-step explanation:
Put the given dimensions in the volume formula and do the arithmetic.
V = πr²h
V = 3.14159(3²)(10) ≈ 282.74 . . . units³
which inequality is true p=3.4
uhhh...p=3.4 is already simplified.
---
hope it helps???
PLEASE HELP ASAP!! After 5 years, $8,060 deposited in a savings account with simple interest had earned $3,224 in interest. What was the interest rate?
Answer:
Step-by-step explanation:
I = PRT
PRT = I
R = I/PT
R = 3224/(8060)(5)
R= 8%
Trevor is going to a baseball game next Saturday with some friends. He has $50 to spend. His ticket will cost $15 and hot dogs will cost $2.75 each.
What is the greatest number of hot dogs he can buy for himself and his friends?
A.10
B.11
C.12
D.13
Answer:
C. 12
Step-by-step explanation:
50-15=35
35÷2.75=12.7272
19. A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years, respectively.19a. Describe the shape of the sampling distribution of the sample mean in this case.19b. Find the mean and standard error of the sampling distribution of the sample mean.19c. What is the probability that the mean age exceeds 73 years
Answer:
a) Approximately normal.
b) The mean is 75 years and the standard deviation is 0.8485 years.
c) 0.9909 = 99.09% probability that the mean age exceeds 73 years
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Sample of 50 retirees
This means that [tex]n = 50[/tex]
Mean age and standard deviation are 75 and 6 years
This means that [tex]\mu = 75, \sigma = 6[/tex]
a. Describe the shape of the sampling distribution of the sample mean in this case
By the Central Limit Theorem, approximately normal.
b. Find the mean and standard error of the sampling distribution of the sample mean.
By the Central Limit Theorem, the mean is 75 and the standard error is [tex]s = \frac{6}{\sqrt{50}} = 0.8485[/tex]
c. What is the probability that the mean age exceeds 73 years?
This is 1 subtracted by the pvalue of Z when X = 73.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{73 - 75}{0.8485}[/tex]
[tex]Z = -2.36[/tex]
[tex]Z = -2.36[/tex] has a pvalue of 0.0091
1 - 0.0091 = 0.9909
0.9909 = 99.09% probability that the mean age exceeds 73 years
bir bidonun 2/7 si dolu iken içinde 4 litre su bulunuyor bidon kaç litre su alır
Answer:
The canister hold water = 14 litres
Step-by-step explanation:
Given - While 2/7 of a canister is full, it has 4 litre water in it.
To find - How many litres of water does the canister hold?
Proof -
Given that,
When is canister is [tex]\frac{2}{7}[/tex] full , Total water = 4 litre
⇒If the canister is full , Total water = 4×[tex]\frac{7}{2}[/tex] litre
= 2 × 7 = 14 litres
⇒The canister hold water = 14 litres
If y = 12 when x = 9 find, x when y = 4
Answer:3
Step-by-step explanation:
12/4=3, 9/3=3
hope it helps
At the Dream Cone ice cream shop, there are
540 ways to make an ice cream sundae
consisting of one flavor of ice cream, one
topping, and one type of syrup. If there are 9
ice cream flavors and 5 types of syrup, how
many toppings are there?
Answer:
12 toppings
Step-by-step explanation:
5*9=45
540/45=12
The number of toppings in the ice cream cone are 9.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, there are 540 ways to make an ice cream sundae consisting of one flavor of ice cream, one topping, and one type of syrup.
Let the number of toppings be x.
So, 9×5×x=540
⇒ 45x=540
⇒ x=9
Therefore, the number of toppings in the ice cream cone are 9.
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For Gianna's lemonade recipe, 8 lemons are required to make 10 cups of lemonade. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
Answer:
4 5
8 10
24 30
Step-by-step explanation:
help plssssssssssssssssssss
Answer:
The area is 28 square inches.
Step-by-step explanation:
You need to use the Pyhtagorean Theorem for this one, to find the height.
3^2 + h^2 = 5^2
9 + h^2 = 25
h^2 = 25 - 9
h^2 = 16
h = 4
The Pythagorean Theorem is basically A squared + B squared is C squared, With C always being the hypotenuse, or longest side. A and B are the base and height. You can use either A or B for either base or height, but you must use C for the hypotenuse.
Brainliest would be appreciated :)
HELP PLS WUICK! GIVING OUT BRAINLIST
Answer:
27
reason:
did it recently
Use the slope formula to find the slope of the line through the points (2,1) and (8,7)
Answer:
6/6
Step-by-step explanation:
Answer: slope = (6,6)
Step-by-step explanation:
Question 2 of 20 -
2020-2021 T-Mat
What is the area of the shape below?
6 yd
4 yd
5 yd
9 yd
Answer:30
Step-by-step explanation:
Please help me or would be greatly appreciated
9514 1404 393
Answer:
A. 40° and 40°
Step-by-step explanation:
The triangle cannot have two angles measuring 100°, so the remaining two angles must be equal to each other. This eliminates choices B and D.
The sum of angles in the triangle must be 180°. This eliminates choice C.
The two other angles must both be (180° -100°)/2 = 40°.
Jessica goes out to eat at a restaurant. The meal costs $18.40, and Jessica wants to leave a tip that is StartFraction 3 over 20 EndFraction of the cost of the meal. How much should Jessica leave for the tip?
Answer:
$20.00
Step-by-step explanation:
Answer:
20.00 trust me
Step-by-step explanation:
(3/4•8a)+(3/4•12)= 23.4, what does A mean???
Answer:
Well, a is supposed to be an unknown number. And that unknown number is supposed to multiply by 8. Now A is suppose to equal 8.4.
aha please help me...
Find the height of a right square pyramid that has a rectangular
base area of 70 square units and a volume of 140 cubic units.
OA) 2 units
OB) 6 units
OC) 1 units
OD 18 units
Answer:
Height = 6 units
Step-by-step explanation:
Recall that the volume of a pyramid is defined as:
Volume = 1/3 Base x Height
Then, in our case we have:
140 = 1/3 (70) x Height
we multiply by 3 both sides to eliminate the fraction on the right:
420 = 70 Height
divide by 70 to isolate the Height completely:
420 / 70 = Height
Therefore, the height is:
Height = 6 units
Solve the equation by completing the square.
a2 - 14a - 32 = 0
Answer:
a=16,-2
Step-by-step explanation:
Use the formula (b/2)^2 in order to create a new term. Solve for a by using this term to complete the square.
5 2/6 - 2 3/6 in simplest form
Answer:
I believe 25/ 6 is the answer
Step-by-step explanation:
and the black flaure the ima Name a possible rotation and the degree in which it turned
Answer is in the file below
tinyurl.com/wpazsebu
Find b and c so that y =
2x^2 + bx+c has vertex (0,-2)
b=
C=
Answer:
Step-by-step explanation:
SOME ONE PLS HELP ME ASAP OP THE TEACHER CALLED ON ME AND SHE SAID THAT I HAVE 5 MINS TO FIGURE THIS OUT
Answer:
a F
Step-by-step explanation:
Normally when converting to scientific notation, I would count how many digits I have to move the decimal dot to get it in between the number, in this case, 36.
If you start shifting the decimal dot to the right and count one every time you shift one digit and go all the way to between 3 and 6, you would count to 5. Since you are shifting to the right, the power of the 10 should be negative. Thus, the answer should be 3.6 × 10[tex]^{-5}[/tex] which is F.
Answer:
option A F is the answer
3.6 x 10^-5
Step-by-step explanation:
i have a tip for you,
if the number is smaller starting with 0.000....
then the exponent will be a negative number
A number greater than or equal to 41.
Answer:
42
Step-by-step explanation:
¯\_(ツ)_/¯