Answer:
what do u mean
Step-by-step explanation:
Derek Jeter challenges Albert Pujols to a batting battle. Each will earn 1 point for a hit other than a home run and 4 points for a home run in each round. Which player should you back given the statistics in the table below? Note that home runs are included as hits in the table. Data for Two Batters Batter At Bats Hits Home Runs Jeter 488 156 9 Pujols 448 125 26 E(Jeter) = 0. 38 and E(Pujols) = 0. 45, so back Pujols. E(Jeter) = 0. 39 and E(Pujols) = 0. 51, so back Pujols. E(Jeter) = 0. 34 and E(Pujols) = 0. 34, so it doesn’t matter who you back. E(Jeter) = 1. 22 and E(Pujols) = 0. 94, so back Jeter.
The player that should be backed is specified by: Option B: E(Jeter) = 0. 39 and E(Pujols) = 0. 51, so back Pujols.
How to find the mean (expectation) of a random variable?Supposing that the considered random variable is discrete, we get:
[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i[/tex]
where [tex]x_i; \: \: i = 1,2, ... ,n[/tex] is its n data values
and [tex]f(x_i)[/tex] is the probability of [tex]X = x_i[/tex]
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For the considered case, the scores of Pujols and Jeter are specified as:
Bats Hits Home runs
Jetter 488 156 9
Pujols 448 125 26
The points that will be earned are:
On each hit : 1 point
On each home run: 4 points
From the statistics specified , the probability of Jetter scoring hits is estimated as:
[tex]P(\text{Jetter scoring hits})=\dfrac{\text{n(hits by Jetter)}}{\text{n(total bats for Jetter)}} = \dfrac{156}{488}\\\\[/tex]
The probability of Jetter scoring home run is estimated as:
[tex]P(\text{Jetter scoring home runs})=\dfrac{\text{n(home runs by Jetter)}}{\text{n(total bats for Jetter)}} = \dfrac{9}{488}\\\\[/tex]
Therefore, we get:
E(Jetter's score) = Score for hits × hits probability by Jetter + Score for home runs × home run's probability by Jetter
E(Jetter's score) = [tex]1 \times \dfrac{156}{488} + 4 \times\dfrac{9}{488} = \dfrac{192}{488} \approx 0.39[/tex]
Similarly, from the statistics specified , the probability of Pujol scoring hits is estimated as:
[tex]P(\text{Pujols scoring hits})=\dfrac{\text{n(hits by Pujols)}}{\text{n(total bats for Pujols)}} = \dfrac{125}{448}\\\\[/tex]
The probability of Pujol scoring home run is estimated as:
[tex]P(\text{Pujols scoring home runs})=\dfrac{\text{n(home runs by Pujols)}}{\text{n(total bats for Pujols)}} = \dfrac{26}{448}\\\\[/tex]
E(Pujol's score) = Score for hits × hit's probability by Pujol + Score for home runs × home run's probability by Pujol
E(Pujol's score) = [tex]1 \times \dfrac{125}{448} + 4 \times\dfrac{26}{448} = \dfrac{229}{448} \approx 0.51[/tex]
Thus, the player that should be backed is specified by: Option B: E(Jeter) = 0. 39 and E(Pujols) = 0. 51, so back Pujols.
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Answer:
a
Step-by-step explanation:
on edge 22
I think of a number.
If I subtract 10 from my number, then square the result,
I get the same answer as
if I square my number, then subtract 10 from the result.
What is my number?
You must show an algebraic method (use letter x in your working).
+
Answer:
Answer:
x =5.5
Step-by-step explanation:
The directions say to use x for the number.
"take 10 away from"
x - 10
"then square the result"
(x - 10)^2
"I get the same answer" means the two expressions will be equal to each other.
"if I square my number"
x^2
"then subtract 10 from the result"
x^2 - 10
SET EQUAL TO EACH OTHER.
(x - 10)^2 = x^2 -10
Multiply on the left side.
x^2-20x+100 =x^2-10
subtract x^2 from both sides.
-20x + 100 = -10
subtract 100.
-20x = -110
divide by -20
x = 11/2 or 5.5
CHECK:
(5.5-10)^2=20.25
5.5^2 - 10=20.25
The number would be equal to x =5.5
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The directions say to use x for the number means x - 10
"then square the result" means (x - 10)^2
"I get the same answer" means the two expressions will be equal to each other.
"if I square my number" means x^2
"then subtract 10 from the result" means x^2 - 10
therefore,
(x - 10)^2 = x^2 -10
Now Multiply on the left side.
x^2-20x+100 =x^2-10
Then subtract x^2 from both sides.
-20x + 100 = -10
-20x = -110
x = 11/2 or 5.5
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URGENT needs steps on how to solve this problem
Find the first 3 iterations of g(x)=3x if you have an initial value of 2. Fill in the table below with your answers.
g(2)
G^2(2)
g^3(2)
Let's see
[tex]\\ \rm\longmapsto g(2)=3(2)=6[/tex]
(2,6)[tex]\\ \rm\longmapsto g^2(2)=6^2=36[/tex]
(2,36)[tex]\\ \rm\longmapsto g^3(2)=6^3=216[/tex]
(2,216)
A right triangle has legs of length 121 cm and 134 cm.
What is the length of the hypotenuse of the right triangle?
Enter the answer, rounded to the nearest tenth, in the box.
cm
Answer:
c = 177.8
Step-by-step explanation:
121² + 134² = c²
13641 + 17956 = c²
31597 = c²
[tex] c \: = \sqrt{31579} [/tex]
A realtor has been told that 43% of homeowners in a city prefer to have a finished basement. She surveys a group of 300 homeowners randomly chosen from her client list. Describe the sampling distribution model of the proportion of homeowners in this sample who prefer a finished basement. Round to the nearest tenth
The sample who prefer a finished basement is 126 homeowners
Percentages and ratiosGiven the following parameters
The total number of people surveyed = 300 homeowners
If a realtor has been told that 43% of homeowners in a city prefer to have a finished basement, the sample of owners that prefer a finished basement is expressed as:
Sample of owners = 43% of 300
Sample of owners = 0.43 * 300
Sample of owners = 126
Hence the sample who prefer a finished basement is 126 homeowners
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factorise and divide 3^ 2 (2 ^2 − 14 + 24) ÷ 6 ( x − 4)
Answer:
i think its 21/x-4
Step-by-step explanation:
sorry if im wrong
Please help with #14 , algebra
Answer:
x=26
Step-by-step explanation:
(0.5x-3)(x-14)=120
foil then solve for x
Given f(x) = 3x-1 and g(x) = 2x-3, for which value of x does g(x)=f(2)?
Answer:
x = 4
Step-by-step explanation:
To see when g(x) = f(2)
First, find f(2)
f(2) = 3(2) - 1 = 5
Now g(x) = 2x-3 = f(2) = 5
2x - 3 = 5
Adding 3 to both sides
2x = 8
Dividing 2 on both sides
x = 4
The pattern 0, 15, 30, 45, ________, follows the "add 15" rule. Use words to describe the rule and write the next term.
Answer:
The next term in the sequence can be found by adding 15 to the previous term in the sequence.
Therefore, the next term = 45 + 15 = 60
This is a arithmetic sequence having common difference d=15
If you want next term add 15to the previous one
Like
0+15=1515+15=30Next term is
45+15=60help fast 55 points please hurry
Answer:
B
Step-by-step explanation:
There are 220 pages in carly's novel. At 4 hours, there is 80 pages left, but monica has 120
Help, I'm confused.
I need this done for because it is my last question.
Answer:
1/6 chance of it landing on a four.
Step-by-step explanation: Bro trust me
Which of the following inequalities can be used to represent a number x that is greater than -5 and less than 3?
Answer:
-5<x<3
Step-by-step explanation:
I need answer please
Answer:
4<sqrt24<5
Step-by-step explanation:
sqrt 16=4
sqrt 25= 5
16<24<25
sqrt 16< sqrt 24 < sqrt 25
Therefore 4< sqrt24 < 5
HELP ASAP I'm putting a lot of points and I'll give you brainiest
Which function has a constant additive rate of change of –1/4?
A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1).
A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1).
A two column table with five rows. The first column, x, has the entries, 20, 21, 22, 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, negative 2.5.
A two column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, negative 9. The second column, y, has the entries, 7, 11, 14, 17.
Answer:
The first coordinate plane has a constant additive rate of change of -1/4
Step-by-step explanation:
Additive rate of change is determined using the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
It must be applied to all of the coordinates given, as sometimes, answer options will have the right slope for the first few options but then change it later in the list. Remember that this is a constant rate of change; it must be the same throughout all of the coordinates.
The first coordinate plane with (-2, 2) and (2, 1) is
[tex]m=\frac{1-2}{2-(-2)} =-0.25[/tex]
so this is the answer. I encourage you to look below to see why the others are not the answer, as there are some tips throughout the rest of my response.
The second plane is a curved line, and this means that it is a function with some kind of exponent or log (judging by the shape, it is probably a quadratic function). Regardless, it will not have a constant change from point to point because of the curve. This is not the answer for those reasons.
The first table is linear (with a constant slope), so that meets the first requirement. The slope, however, is -1/2, so it is not what we are looking for. This is also not the solution.
The last table has a positive slope of 3.3, so this does not fit what we want from an answer.
Hope this helps :)
Answer:
A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1).
1071 is to be devided among 6 people equally how much in dollars is left over after each person receives there share
A right triangle has legs that are 10.1 inches and 12.2 inches long. what is the approximate length of the hypotenuse? 6.8 inches 15.8 inches 22.3 inches 125.5 inches
Answer:
about 15.8 inches
Step-by-step explanation:
Use the equation [tex]a^{2} + b^{2} = c^{2}[/tex]
Where "a" and "b" are the leg lengths and "c" is the hypotenuse.
The solution is, 15.8 inches is the approximate length of the hypotenuse.
here, we have,
given that,
A right triangle has legs that are 10.1 inches and 12.2 inches long.
We only need to apply Pythagoras theorem to solve this problem.
Pythagoras theorem state that in a right-angle triangle,
opposite² + adjacent² = hypotenuse²
From the question, the length of the leg = 10.1 inches
one of the leg, lets say adjacent = 12.2 inches
Let x be the hypotenuse of the other leg.
We can now proceed to insert our values into the formula;
opposite² + adjacent² = hypotenuse²
10.1² + 12.2² = x²
so, we get,
x² = 10.1² + 12.2²
x² = 102.01 + 148.84
x² = 250.85
Take the square root of both-side to get the value of x
√x² = √250.85
x = 15.83
x≈15.8
Therefore the approximate length of the other leg is 15.8 inches.
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I don’t get this I need help
Answer:
49 square units.Step-by-step explanation:
to calculate the area of a square multiply the width of the square by the length. Example: 7×7= 49 square units, cm, inches, exe...PS: if this is correct pls mark me brainly thanks :)
Please help, will mark brainliest :)
Find the rate of change of the function.
f(x)= -4/7x + 2/9
Answer:
-4 is rate
7 is change
Step-by-step explanation:
Take what x is multiplying and that is your rate and change.
Question 5 of 5
A math textbook has a length of 21 cm, a width of 27 cm, and a height of 4
cm. A science textbook has a length of 22 cm, a width of 28 cm, and a height
of 3.5 cm
Which textbook has a greater volume?
A. The science textbook, with a volume of 2464 cm3
Ο Ο Ο
B. The math textbook, with a volume of 2268 cm3
O C. The math textbook, with a volume of 2376 cm3
OD. The science textbook, with a volume of 2156 cm3
SUBMIT
Answer:
I would say C not to sure tho
Please please please please help me please
Answer:
ANSWER (D.
ABC Similar To DEF
ABC ∼ DEF
-
Part a: Which relationship describes <1 and <2?
Part b: What is the value of x?
Part c: What is the m22?
Answer:
x = 8
Step-by-step explanation:
Part a: <1 and <2 are alternate exterior angles because line horizontal lines are parallel
Part b: the value of x can be calculated with the following equation
7x + 15 = 10x - 9 because alternate angles has same measure
15 + 9 = 10x - 7x
24 = 3x divide both sides by 3
8 = x
Which of the following is NOT a variation of a Pythagorean identity?
The expression that is not a variation of the Pythagorean identity is the third option.
What is the Pythagorean identity?The Pythagorean identity can be written as:
[tex]sin^2(x) + cos^2(x) = 1[/tex]
For example, if we subtract cos^2(x) on both sides we get the second option:
[tex]sin^2(x) = 1 - cos^2(x)[/tex]
Which is a variation.
Now, let's divide both sides by cos^2(x).
[tex]sin^2(x)/cos^2(x) + cos^2(x)/cos^2(x) = 1/cos^2(x)\\\\tan^2(x) + 1 = sec^2(x)\\\\tan^2(x) - sec^2(x) = -1[/tex]
Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.
Concluding, the correct option is the third one.
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Which of the following is equivalent to cos 32°?
a cos 58°
b cos 68°
c sin 32°
d sin 58°
Answer: Choice D
Step-by-step explanation:
cos(32) = 0.8480480962
cos(58) = 0.5299192642
cos(68) = 0.3746065934
sin(32) = 0.5299192642
sin(58) = 0.8480480962
Cos(58) = sin(32)
Cos(32) = sin(58)
An executive hires 3 office workers from 5 applicants.
How many ways can the selection be made ?
Answer:
c(5,3)
5×4×3=60
60÷3!=10
the selection can be made in 10 ways
Find the ratio of 900m to 9km.
Really need help on this graph
Answer:
The equation on the graph is: y = -(x+1)(x-6)
Find the area of a circle with radius,
r
= 6.16m.
Give your answer rounded to 2 DP.
Answer ≈ 119.21m
Step-by-step explanation: Plugging the radius into the equation for the area of a circle equals 119.209618 which rounds to 119.21.
(π) ([tex]6.16^{2}[/tex]) = 119.209618
The number of T-shirts a basketball team orders depends on the number of players on the team. **Remember: THE OUTPUT depends on THE INPUT
The total of T-shirts is proportional to the total of players, which means 15 players = 15 t-shirts.
What is a proportion?A proportion describes the number of elements from one category compared to the number of elements in another. For example, if there are 15 boys and 15 girls in a classroom the number of girls and boys is proportional.
How are the number of t-shirts and players related?These have a proportional relationship because for every player it is expected there is a determined t-shirts number and this number can only increase if the players increase.
1 t-shirt per player:
36 players = 36 t-shirts
2 t-shirts per player:
36 players = 72 t-shirts
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There are 5 pencil-cases on the desk. Each pencil-case
contains at least 10 pencils, but not more than 14 pencils.
Which of the following could be the total number of pencils in
all 5 cases?
Answer:
Choose the numbers in the choices that are 50, 70, or any integer in between 50 and 70.
Step-by-step explanation:
Minimum number of pencils: 5 × 10 = 50
Maximum number of pencils: 5 × 14 = 70
The number of pencils ranges from 50 to 70. All integers 50, 70 and in between 50 and 70 are possible.
Choose the numbers in the choices that are 50, 70, or any integer in between 50 and 70.
Evaluate the expression for x = 3, y = 1/3 , and z = 5.
12x − 3y / 4x − z
Step-by-step explanation:
Substitute the given values into the expression;
[tex]12(3) - 3( \frac{1}{3} ) \div 4(3) - 5[/tex]
Multiply;
[tex]36 - 1 \div 12 - 5[/tex]
Solve Using PEMDAS;
[tex]36 - \frac{1}{12} - 5[/tex]
[tex]35 \frac{11}{12} - 5[/tex]
[tex]\boxed{30 \frac{11}{12} } [/tex]