Answer:
<h2>The answer is 15cm</h2>Step-by-step explanation:
Let b be the length of the second parallel side
Area of a trapezium is given by
where
h is the height
a and b are the parallel sides
From the question
Area = 230 cm²
height = 20cm
one of parallel side / a = 8 cm
Substitute the values into the above formula and solve for b
That's
Reduce the fraction with 2
That's
Expand the terms
That's
Divide both sides by 10
We have the final answer as
<h3>b = 15cm</h3>Hope this helps you
Answer:
Step-by-step explanation:
Given:
If there is a coefficient in front of a or
, that means it becomes an exponent.
Simplify the exponent.
When there is addition between two logarithms or natural logarithms, it means they multiply together.
Answer:
And we can find this probability with this difference:
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 amount of cofee shops of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference: