what is the length and width of a parallelogram that is 60 meters and the width is 2 meters less than the length

Can someone plss help me with this with good explanation!!!

LekaFEV [45]

Answer:

1. What happens when air is heated or cooled? ... So air, like most other substances, expands when heated and contracts when cooled. Because there is more space between the molecules, the air is less dense than the surrounding matter and the hot air floats upward.

Step-by-step explanation:

Hope this helps

7 0

1 year ago

What is the value of x in the equation 1/2x-3/4=3/8-5/8x?

Vladimir [108]

Answer:

x = 1

Step-by-step explanation:

1/2x - 3/4 = 3/8 - 5/8x

The LCD is 8. Lets change every fraction to a denominator of 8.

4/8x - 6/8 = 3/8 - 5/8x

Now multiply both sides by 8.

4x - 6 = 3 - 5x

Add 5x to both sides. Add 6 to both sides.

9x = 9

Divide both sides by 9.

x = 1

7 0

2 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: