Total number of people is 55
<u>Step-by-step explanation:</u>
Step 1:
Given ratio between boys and girls is 4:1. Let number of girls be x, so number of boys = 33 + x
⇒ 4x + x = x + 33 + x
⇒ 5x = 33 + 2x
⇒ 3x = 33
⇒ x = 11
Step 2:
Find total number of people.
33 + 2x = 33 + 22 = 55
Let us assume number of n.
The number is decreased by 15.
Decreasing by 15 means, we need to subtract 15 from that number.
So, it would be come n-15.
Now, it is said that the number would become less than 2.
So, we need to setup an inequality:
n-15 is less than 2.
<h3>n-15 < 2 : required inequality .</h3>
Adding 15 on both sides, we get
n-15+15 < 2+15
n < 17.
<h3>So, we could say the number would be less than 17.</h3>
Answer:

And using the cumulative distribution function we got:

The probability that preparation is within 2 minutes of the mean time is 0.134
Step-by-step explanation:
For this case we define the following random variable X= (minutes) for a lab assistant to prepare the equipment for a certain experiment , and the distribution for X is given by:

The cumulative distribution function is given by:

The expected value is given by:

And we want to find the following probability:

And we can find this probability on this way:

And using the cumulative distribution function we got:

The probability that preparation is within 2 minutes of the mean time is 0.134
Answer:
Part 1) The base is
and the height is
Part 2) The base is
and the height is
Step-by-step explanation:
case 1) Right isosceles triangle of the left
Let
x------> the base of the rectangle
y----> the height of the rectangle
Remember that
In a right isosceles triangle the lengths of the legs of the triangle is the same

----> equation A

-----> equation B
substitute equation B in the equation A



Find the value of x
case 2) Right isosceles triangle of the right
Let
x------> the base of the rectangle
y----> the height of the rectangle
Remember that
In a right isosceles triangle the lengths of the legs of the triangle is the same

----> equation A

-----> equation B
substitute equation B in the equation A



Find the value of y