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Tamiku [17]
3 years ago
11

the dimensions shown are an approximation using these dimensions which is the approximate area of abc

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0
What are the dimensions shown?
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Which expressions are equivalent to -6n + (-12) + 4n?
creativ13 [48]
The answer is A. 4(n 3) - 6n
6 0
3 years ago
Damon makes 20 cups of lemonade by mixing lemon juice and water. The ratio of lemon juice to water is shown in the tape diagram.
Effectus [21]

Answer:  4 cup

Step-by-step explanation:

Here, the total number of cups in lemonade = 20 cups

In which some are cup of lemon juice and some are cups of water.

And, the ratio of cups of lemon juice and water in one lemonade = 1 : 4

Let the cups of lemon juice in one lemonade = 1 x

And, The cups of water in one lemonade = 4 x

Where x is any number.

Thus, 1 x + 4 x = 20

⇒ 5 x = 20

⇒ x = 20/5 = 4

Thus, Damon uses 4 cup of lemon juice in one lemonade.

6 0
3 years ago
Read 2 more answers
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
The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is-3
sasho [114]
A. y= 2x - 3 and y= -2x - 3
4 0
3 years ago
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Which expressions are equivalent to the one below?? 36^x/6^x
Keith_Richards [23]
It would be six because they are like terms.

5 0
3 years ago
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