Answer: The expected value would be -$9.022.
Step-by-step explanation:
Since we have given that
Number of throws made by basketball player = 217
Number of free throws = 357
So, ![p=\dfrac{217}{357}=0.61](https://tex.z-dn.net/?f=p%3D%5Cdfrac%7B217%7D%7B357%7D%3D0.61)
Let X be the amount he lose or win.
X can be $32 or -$21
So, it becomes,
![P(X=32)=0.61\times 0.61\times 0.61=0.226](https://tex.z-dn.net/?f=P%28X%3D32%29%3D0.61%5Ctimes%200.61%5Ctimes%200.61%3D0.226)
and
![P(X=-21)=1-0.226=0.774](https://tex.z-dn.net/?f=P%28X%3D-21%29%3D1-0.226%3D0.774)
So, the expected value would be
![E[x]=P(X=32)\times 32+P(X=-21)\times -21\\\\=0.226\times 32+0.774\times -21\\\\=-9.022](https://tex.z-dn.net/?f=E%5Bx%5D%3DP%28X%3D32%29%5Ctimes%2032%2BP%28X%3D-21%29%5Ctimes%20-21%5C%5C%5C%5C%3D0.226%5Ctimes%2032%2B0.774%5Ctimes%20-21%5C%5C%5C%5C%3D-9.022)
Hence, the expected value would be -$9.022.
Answer:
y=3
Step-by-step explanation:
-5y+8=-7
Minus 8 from each side.
-5y=-15
Divide -5 from each side.
y=3
The function ought to be represented as; m(t) = 7t + 25 where t is the number of yards that she mows.
<h3>What is a linear function?</h3>
The term linear function refers to a function that yields a straight line graph when it is plotted. Now we know that a linear function would not contain an exponent that is greater than one.
In this case, we know that the question states that she charges a base fee of $25 and $7 for every hour she mows thus the function ought to be represented as; m(t) = 7t + 25 where t is the number of yards that she mows.
Learn more about linear function:brainly.com/question/21107621
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5/10+1/10=6/10, they are equivalent since the denominator is the same :)
Answer:
dr/dR= s/(s-r)
b) taking all values positive.. the answer is INCREASING
Step-by-step explanation:
a) R= r*s/(s+r)...
making r subject of formulae ... r = R*s/(s-r)
diff of (r) wrt R= s/(s-r)...
b) from the eqt R=r*s/(s-r)
and increase in r would always lead to an increase in R.. due to the multiplication power of the numerator. also with the condition that all values are positive..