2 years ago

What is the unit price for a piece of cheese if 1.24 pounds cost 11.25

Mathematics

1 answer:

Andre45 [30]2 years ago

3 0

I think it would be $9.08 per pound

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Find the expected value and the variance of the number of times one must throw a die until the outcome 1 has occurred 5 times.

Kazeer [188]

Answer: E(X) = 30; Var[X] = 180

Step-by-step explanation: This is a Bernoulli Experiment, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate Expected Value, which is the mean, in these conditions:

$E(X)=\frac{r}{p}$

r is number of times it is repeated

p is probability it happens

Solving:

$E(X)=\frac{5}{1/6}$

E(X) = 30

Variance is given by:

$Var[X]=\frac{r(1-p)}{p^{2}}$

$Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}$

$Var[X]=5.\frac{5}{6}.6^{2}$

Var[X] = 180

Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.

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2 years ago

On January 1st, Jerome concocts a rumor and tells Beth. On January 2nd, they each tell a new person. By the end of January 2nd,

Kamila [148]

The rumor is spreading to a double amount of people each time and started with only one person.
On the first day, two people knew it. 2¹ = 2
On the second day, four people knew it. 2² = 4
On the third day, eight people knew it. 2³ = 8
On the nth day, the people that will know it = 2ⁿ
Thus, on the eighth day: 2⁸ = 256 people will know it

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3 years ago

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The figure shows a square and 4 congruent isosceles triangles. If the length of leg x is 12 feet, what is the length in feet of

allsm [11]

Answer:

wher eis the

Step-by-step explanation:

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2 years ago

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I don’t get none of this work so help me please