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Law Incorporation [45]
3 years ago
10

Fruit-O-Rama sells dried pineapple for $0.25 per ounce. Mags spent a total of $2.65 on pineapple. How many ounces did she buy

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
8 0

Answer:

10.6 Ounces

Step-by-step explanation:

Each ounce of dried pineapple costs $0.25

Divide $2.65 by $0.25

2.65/0.25=10.6

Mags bought 10.6 oz.

Andrei [34K]3 years ago
3 0

Answer:

2.65/.25= 10.6oz

............

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Show that if X is a geometric random variable with parameter p, then
Lubov Fominskaja [6]

Answer:

\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}

Step-by-step explanation:

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

P(X=x)=(1-p)^{x-1} p

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

X\sim Geo (1-p)

In order to find the expected value E(1/X) we need to find this sum:

E(X)=\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}

Lets consider the following series:

\sum_{k=1}^{\infty} b^{k-1}

And let's assume that this series is a power series with b a number between (0,1). If we apply integration of this series we have this:

\int_{0}^b \sum_{k=1}^{\infty} r^{k-1}=\sum_{k=1}^{\infty} \int_{0}^b r^{k-1} dt=\sum_{k=1}^{\infty} \frac{b^k}{k}   (a)

On the last step we assume that 0\leq r\leq b and \sum_{k=1}^{\infty} r^{k-1}=\frac{1}{1-r}, then the integral on the left part of equation (a) would be 1. And we have:

\int_{0}^b \frac{1}{1-r}dr=-ln(1-b)

And for the next step we have:

\sum_{k=1}^{\infty} \frac{b^{k-1}}{k}=\frac{1}{b}\sum_{k=1}^{\infty}\frac{b^k}{k}=-\frac{ln(1-b)}{b}

And with this we have the requiered proof.

And since b=1-p we have that:

\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}

4 0
3 years ago
What is 8,792 as a fraction?
Wittaler [7]

We have a number 8.792.

To write it as a fraction first count the number of decimals and call it n (which, in our case, has a value of 3). Multiply the number with 10^n to get 8792. Then divide this number by 10^n to get \frac{8792}{10^n} from here you can either simplify (if the assignment says so, then the simplified fraction is \frac{1099}{125}) or not.

Hope this helps.

6 0
3 years ago
Is 7(x+2y) the equivalent of 14x + 14y
ryzh [129]

Answer:

the expressions are not equivalent

Step-by-step explanation:

7(x+2y)    (distribute 7 into the parentheses)

= x(7) + 2y(7)

= (7x + 14y)  ≠ (14x + 14y)

hence the expressions are not equivalent

8 0
3 years ago
Are the ratios 1:2 and 7:20 equivalent?
stealth61 [152]

Answer:no

Step-by-step explanation:

3 0
3 years ago
Sketch the graph of y (x +3)2-4 and identify the axis of symmetry.
masya89 [10]

The axis of symmetry is at x = -3.


This can be found by looking at the basic form of vertex form:


y = (x - h)^2 + k


In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).


It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3

6 0
3 years ago
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