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.
Learn more about expectation here:
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Answer:
a
Step-by-step explanation:
on edge 22
Which side of triangle XYZ is the longest?
A. overline XY
B. overline XZ
C. overline YZ
D. Cannot be determine
Answer:
B)XZ
Used a calculator and just took this quiz
Answer:
B
Step-by-step explanation:
m < y = 180 degrees - 60 degrees - 43 degrees = 77 degrees
77 > 60 > 43
xz > yz > xy
XZ is the longest side. So the answer is B
What side lengths should be used to model a rectangle with an area of x2 3x – 10 square units? x – 5 and x 2 x – 2 and x 5 x and x 3 x 3 and x – 10
The dimension of the rectangle is (x + 5) and (x – 2). Then the correct option is B.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The area of the rectangle is x² + 3x – 10.
On factorization, we have
x² + 3x – 10
x² + 5x –2x – 10
x (x + 5) –2 (x + 5)
(x + 5) (x – 2)
We know that the area of a rectangle is given as
Area = Length × Width
x² + 3x – 10 = (x + 5)(x – 2)
On comparing, we have
The dimension of the rectangle is (x + 5) and (x – 2). Then the correct option is B.
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:
see picture
Step-by-step explanation:
GIVING BRAINLIEST 100 points
Answer:
A) 4n+30=95
B) 95-30=65 4n=65 65/4=16.25 or 17 weeks to save a little more than $95
C) the least number of weeks would be 17 since it says a whole week
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.
Answer:
i dont know
Step-by-step explanation:
i need an explanation please
===================================================
Explanation:
The [tex]n^2[/tex] terms cancel out because
[tex]n^2 + (-n^2) = n^2 - n^2 = 0n^2 = 0[/tex]
The n terms combine to
5n + (-3n) = 5n - 3n = 2n
Lastly, the constants combine to
-6 + 4 = -2
Overall we have 2n - 2 as the simplified result.
HELP PLEASE ASAP!!!!!!!!!!!!!!!!!!
Answer:
(3, 5)
Step-by-step explanation:
Answer:
(3, 5)
explanation:
solve for x:
5x-10=-3x+14
5x + 3x = 14 + 10
8x = 24
x = 3
solve for y:
y = 5x -10
y = 5(3) - 10
y = 5
In (x, y) form → (3, 5)
round off 6 337 927 to 3 significant figures
Answer:6340000
Step-by-step explanation:
3. Maria signed up for a lawn service. She was
charged an initial fee of $75 plus $18 for every
application. How many applications did she
get with $525?
Step-by-step explanation:
525 - 75 = 450
18 for ever one
equals to 450
18x = 450
450÷18 = x
450 ÷ 18 is
comment and i will check
please put brainest
NEED HELP ASAP EASY 10 to 20 POINTS
Given :
Find the gcf of the first two terms and the GCF of the last two terms for the polynomial.[tex] \qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} + 3p + 6[/tex]
Solution :
The first two terms of the polynomials are :
[tex]\qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} [/tex]
[tex]\qquad \longrightarrow \sf \: 5p {}^{2} (p + 2)[/tex]
Therefore,
Their Greatest common factor is 5p² .⠀
The last two terms of the polynomials are :
[tex]\qquad \longrightarrow \sf \: 3p + 6[/tex]
[tex]\qquad \longrightarrow \sf \: 3(p + 2)[/tex]
Therefore,
Their Greatest common factor is 3 .in rectangle QRST , QS = 5x-31 and RT= 2x+11. Find the lengths of the diagonals of QRST
Answer:
11.7
Step-by-step explanation:
I just solved and added them all-
in triangle cde find ec
Step-by-step explanation:
EF/EC = FG/CD
12/EC = 20/45
12 = 20/45 EC
12×45/20 = EC
27 = EC
EC = 27
What is a1 if a6 = 35 and a9 = 8
Answer:
the answer is 80
Step-by-step explanation:
it wrote the problem down on paper and did the math and i got 80
what is the value of \sqrt{21} rounded to the nearest tenth
Answer:
4.5
explanation:
4.5 x 5(This number is not exactly important, but is used as an example)
Is extremely close to the true square root of 21.
That is 4.58257569495584 unrounded.
Need help on this question ASAP pleasee
Answer:
c
Step-by-step explanation:
vertical translation down two units
HELP Please
I really need the answer
Step-by-step explanation:
a full circle has 360°.
so, since each individual result is represented by an amount of degrees, the total sum of all results must be 360°.
labour = 360 - 136 - 34 - 54 - 14 = 122°
the fraction 122/360 represents the 183 votes for labour.
122/360 = 183
the fraction 1/1 = 1 then represents the total number of votes in the whole system.
61/180 = 183
1/180 = 3
1 = 3×180 = 540
540 pupils voted altogether.
By selling a jacket for Rs 729, Sunanda lost 10 %. What was the cost price of the
jacket?
Answer:
810
Step-by-step explanation:
SP = 729, LOSS = 10.1
[tex]loss \: = \frac{(cp - sp)}{cp} \times 100 \\ \\ 10 = ( \frac{cp - 729}{cp} ) \times 100[/tex]
10 CP = CP x 100 - 729 x 100
729 x 100 = 90 CP
[tex]cp = \frac{729 \times 100}{90} = 810 [/tex]
Cost Price,
$810
Write the equaition in slope-intercept form of the line through (6,9) and (-12,-3)
See pic attached ..,,,
Answer:
hey buddy
do u rember me its me manisha
what does this equal to?
Answer:
x = 14
y = 7
z = 22
Step-by-step explanation:
x = # of cucumbers
y = # zucchini
z = # tomatoes
x + y + z = 43
2y = x or y = x/2
x + 8 = z
x + x/2 + x + 8 = 43
2x + x/2 = 35
4x + x = 70
5x = 70
x = 14
2y = 14
y = 7
14 + 8 = z
z = 22
Check if these variables are right:
14 + 7 + 22 = 43 ✔️
whats 4n = 880.4's solution??
Answer:
n = 220.1
Step-by-step explanation:
4n = 880.4n = 880.4 ÷ 4n = 220.1the value of n is 220.1
4.
Ten participants in a health study each ran a distance of 1 mile. The pulse rates of the participants were recorded before and after the run. The pre-run and post-run pulse rates, in pulses per minute (ppm), are shown in the table below.
Based on the data in the table, which statement is true?
The data given on the table about the ten participants in the health study shows that B. The post-run mean and median are the same value.
What is the post run mean?This can be found as:
= (87 + 95 + 96 + 101 + 110 + 104 + 100 + 101 + 90 + 96) / 10
= 98
What is the post run median?First order the pulses from smallest to largest:
= 87, 90, 95, 96, 96, 100, 101, 101, 104, 110
The two digits in the middle are:
96 and 100
The median will be:
= (96 + 100) / 10
= 98
In conclusion, option B is correct.
Find out more on the median at https://brainly.com/question/396397.
in simple terms, how do u factor a polynomial by distribution? for example " 36a^2 + 24a?
Answer:
6a (6a + 4)
Step-by-step explanation:
What is the highest number that goes both into 36 and 24? That is 6. What else do they have in common? The letter a
So 6a(6a + 4)
what percent of 250 is 182?
Answer:
182 is 72.8% of 250
The Smiths bought an apartment for $65,000. Assuming the value will appreciate at most 3% a year, how much will the apartment be in 4 years?
Answer:
$73158.07
Step-by-step explanation:
The way to get this is realize that appreciate by 3% means that the value will go up 3% each year. in order to do this we must multiply 65000 by 1.03 4 times. 65000 times 1.03 times 1.03 times 1.03 times 1.03 = 73158.07.
please mark me as brainlyest
Answer: $73,157.50
Step-by-step explanation:
Given: bought price of apartment(p) = $75000, rate of appreciation(r) = 4.3% and time(t) = 7 years
We know the compound interest/appreciation formula is:
S=p(1+r/100)^t
[tex]\begin{aligned}S &=\$ 65000\left(1+\frac{3}{100}\right)^{4} \\&=\$ 65000\left(\frac{100+3}{100}\right)^{4} \\&=\$ 65000\left(\frac{103}{100}\right)^{4} \\&=\$ 65000\times 1.1255 \\&=\$ 73,157.50\end{aligned}[/tex]
Therefore, the apartment will be worth about $73,157.50 in 4 years
Solve this:
Profit and Loss
ʘ‿ʘ
Answer:
181.44
Step-by-step explanation:
In term of Rajan
CP= Rs 180
P= 20%
So,
P = 20*180/100
= Rs 36
SP=CP + P
=Rs 216
In term of Sajan
CP= Rs 216
loss=20%
l = 20*216/100
= Rs 43.2
SP= CP - l
= Rs 172.8
In term of Nirajan
CP= 172.8
P = 5%
P = 5*172.8/100
= Rs 8.64
so,
SP=CP + P
=172.8 + 8.64
= Rs 181.44
Some boats were traveling up and down a river. A satellite recorded the movements of several boats.
A motor boat traveled -3.4 miles per hour for 0.75 hours. How far did it go? miles
A tugboat traveled -1.5 miles in 0.3 hours. What was its velocity? miles per hour
Answer:
3a) 2.55 miles
3b) -5 mi/h
Step-by-step explanation:
3a)
In this problem, we want to know the distance travelled by the boat.
For a boat in uniform motion (=constant speed), the distance travelled can be written as
d=vtd=vt
where:
d is the distance travelled
v is the speed
t is the time
For the motor boat in this problem, we have:
v = 3.4 mi/h (we ignore the negative sign, because it only refers to the direction, but here we are considering the speed, which is a scalar and has no direction)
t = 0.75 h is the time
Therefore, the distance travelled is
D= (3.4)(0.75 = 2.55 miles
3b)
The velocity of an object is the ratio between its displacement (change in position) and time taken.
Since velocity is a vector, it has both a magnitude and a direction: so in this case, we also have to consider the sign when expressing the velocity.
The velocity is given by:
v=\frac{d}{t}v=
t
d
where
d is the displacement
t is the time taken
For the tugboat in this problem,
d = -1.5 mi is the displacement
t = 0.3 h is the time taken
So, its velocity is
v=\frac{-1.5}{0.3}=-5 mi/hv=
0.3
−1.5
= -5 mi/h
And the negative sign indicates that the boat is moving in the negative direction.
Factor the expression 4x2-100
(4x-5)(x+20)
(2x+5)(2x-20)
4(x-5)(x+5)
(2x-5)(2x+20)
A lifeguard fills a pool with water at a constant rate. After 12 hour, 13 of the pool is filled. At this rate, what fraction of the pool is filled per hour?.
At the considered rate the fraction of pool that is filled per hour is 13/12
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
For the considered case, we can take time spent as difference of independent variable, and the amount of pools filled as the corresponding difference of the dependent variable.
in 12 hour time interval total 13 pools were filled.
That means
Rate of filling the pool is 13 pools per 12 hours or [tex]\dfrac{13}{12}[/tex] pools per hour.
Thus, at the considered rate the fraction of pool that is filled per hour is 13/12
Learn more about rate of change here:
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what is the remainder of 4.75?????
Answer:
I think its the 75
Step-by-step explanation:
hope this helps
Identify the shape and solve for X
(will give Brainliest)
PLEASE HELP
Answer:
see explanation
Step-by-step explanation:
the figure has 4 congruent sides and 4 right angles and is therefore a square, then
8x - 15 = 3x + 11 ( subtract 3x from both sides )
5x - 15 = 11 ( add 15 to both sides )
5x = 26 ( divide both sides by 5 )
x = 5.2
Answer:
It's a square
x = 26/5
Step-by-step explanation:
Well, since all the sides are equal (shown by the 3 lines in the sides) and all the angles are 90 degrees (show by the little squares in the corners), I believe the shape is a square.
Because the sides are equal, you would set up the equation by making the two expressions equal to each other:
3x + 11 = 8x - 15
The next step is to get the variable (x) on only one of the sides. You can do this by subtracting 3x from both sides or by subtracting 8x from both sides. I will subtract 3x here just so the new number can be positive, but either will work.
3x + 11 = 8x - 15
-3x -3x
0 + 11 = 5x - 15
Now, you isolate the x by adding 15 to both sides. Remember, whatever you do to one side, you must also do it to the other side of the equal sign.
11 = 5x - 15
+15 +15
26 = 5x
Lastly, get rid of the number in front of the x so that x is alone on a side of the equal sign. You do this by dividing both sides by 5.
x = 26/5
Now, you can either make this into a mixed number or a decimal or keep it how it is. I hope this helps :]
61280 divide by 72 I do not know how to get this answer please help
Answer:
851.1
Step-by-step explanation:
It would be 851.1