A farmer had some chickens and some cows. She counted 40 total heads and 126 total legs. How many cows did she have?

Important:
   The sum of the three angles inside
      every triangle is always 180°.

First, look at the left triangle alone.
Two of its angles are 46° and 58° . (46° + 58° ) = 104°
That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'.
   x = 76° .

At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
But x = 76°.
So z = (180° - 76°).    z = 104° .

Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and z = 104°.
(13° + 104°) = 117° .
That leaves (180° - 117°) = 63° for the third angle.
'y' is the third angle.
   y = 63° .

3 0

3 years ago

Read 2 more answers

Number of passengers who arrive at the platform in an Amtrack train station for the 2 pm train on a Saturday is a random variabl

Svetradugi [14.3K]

Answer:

$P(80$

And we can find this probability with this difference:

$P(-4$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-4$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the number of passengers who arrive at the platform of a population, and for this case we know the following info

Where $\mu=180$ and $\sigma=25$

We are interested on this probability

$P(80$

For this case we can assume that the random variable is normally distributed.

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(80$

And we can find this probability with this difference:

$P(-4$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-4$

5 0

3 years ago

THE GREATEST PRODUCT

Alex17521 [72]

Answer:

Step-by-step explanation:

We have the digits 34567 and must arrange them into a product with the largest possible value.

It's clear that we must place the largest digits to the left, so they represent larger numbers to multiply.

Let's try with:

7654*3=22962

765*43=32895

76*543=41268

7*6543=45801

This last combination definitely produces the largest product

Answer: 7*6543=45801

5 0

2 years ago