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Zina [86]
3 years ago
10

You have $135 and you want to give the money to 5 of your friends. You want each friend to have the same amount of money. How mu

ch money will you give each of your friends?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0

Given:

Total amount = $135

Total friends = 5

Each friend to have the same amount of money.

To find:

The money you will give each of your friends.

Solution:

We know that,

\text{Money for each friend}=\dfrac{\text{Total money}}{\text{Total number of friends}}

Substituting the given values, we get

\text{Money for each friend}=\dfrac{135}{5}

\text{Money for each friend}=27

Therefore, each friend will get $27.

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Each person will eat 2/3 of a pound of Turkey and 8 people will be at party
disa [49]
Each person will get 5.33 pound of turkey.
6 0
4 years ago
Read 2 more answers
Consider a discrete random variable x with pmf px (1) = c 3 ; px (2) = c 6 ; px (5) = c 3 and 0 otherwise, where c is a positive
PtichkaEL [24]
Looks like the PMF is supposed to be

\mathbb P(X=x)=\begin{cases}\dfrac c3&\text{for }x\in\{1,5\}\\\\\dfrac c6&\text{for }x=2\\\\0&\text{otherwise}\end{cases}

which is kinda weird, but it's not entirely clear what you meant...

Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:

\displaystyle\sum_{x\in\{1,2,5\}}\mathbb P(X=x)=\dfrac c3+\dfrac c6+\dfrac c3=\dfrac{5c}6=1\implies c=\dfrac65

Next,

\mathbb P(X>2)=\mathbb P(X=5)=\dfrac c3=\dfrac25

\mathbb E(X)=\displaystyle\sum_{x\in\{1,2,5\}}x\,\mathbb P(X=x)=\dfrac c3+\dfrac{2c}6+\dfrac{5c}3=\dfrac{7c}3=\dfrac{14}5

\mathbb V(X)=\mathbb E\bigg((X-\mathbb E(X))^2\bigg)=\mathbb E(X^2)-\mathbb E(X)^2
\mathbb E(X^2)=\displaystyle\sum_{x\in\{1,2,5\}}x^2\,\mathbb P(X=x)=\dfrac c3+\dfrac{4c}6+\dfrac{25c}3=\dfrac{28c}3=\dfrac{56}5
\implies\mathbb V(X)=\dfrac{56}5-\left(\dfrac{14}5\right)^2=\dfrac{84}{25}

If Y=X^2+1, then X^2=Y-1\implies X=\sqrt{Y-1}, where we take the positive root because we know X can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that Y can take on the values 1^2+1=2, 2^2+1=5, and 5^2+1=26. At these values of Y, we would have the same probability as we did for the respective value of X. That is,

\mathbb P(Y=y)=\begin{cases}\dfrac c3&\text{for }y=2\\\\\dfrac c6&\text{for }y=5\\\\\dfrac c3&\text{for }y=26\\\\0&\text{otherwise}\end{cases}

Part (5) is incomplete, so I'll stop here.
8 0
3 years ago
Which best explains whether or not all isosceles triangles are similar?
umka2103 [35]
The third statement is correct.
<span>
All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.


</span>
6 0
3 years ago
Find the volume of the sphere. Round your answer to the nearest tenth.
shepuryov [24]

Answer:

179.50

Step-by-step explanation:

The formula for calculating pi is as followed: 4/3·π·r³

The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.

∴V=4/3·3.14·3.5³

V=179.503333333

Round your answer to the nearest hundredth:

179.503333333 rounded to the nearest hundredth becomes 179.50

∴V=179.50

-------------------------------------------------------------------------------------------------------------

Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.

V=π.4/3·r³

V=π·57.1666666667

Round 57.1666666667: 57.17

V=57.17π

Either one would work. Hope this works.

5 0
2 years ago
Bruce has $10 in nickels and quarters. The number of nickels is 24 less than twice the number of quarters. How many does he have
STALIN [3.7K]

Answer:

no money

Step-by-step explanation:

he has $10 in change.. he has no money

5 0
3 years ago
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