Answer: <u>11.</u>
Step-by-step explanation: All you'd have to do in order to achieve this answer is by dividing 410 by 40 which gives you the answer of 10.25. In order to fit everyone they'll need a rounded number of buses; equalling 11.
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!
We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.
If you have any questions feel free to ask away!!
Comprehension
We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.
We also know that in an isosceles angle, the base angles are equation to each other.
Now that we know what we need to know, we can setup an equation.

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.
I'll start solving now.
Solving
We can solve this by using the equation we made above and solving it with algebra.

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

We've proven that our answer is correct by double checking,
Therefore the answer is 46.5!
Cheers!
Answer:
7536 
Step-by-step explanation:
Given that:
Rate of decreasing of radius = 12 km/sec
Height of cylinder is fixed at = 2.5 km
Radius of cylinder = 40 km
To find:
The rate of change of Volume of the cylinder?
Solution:
First of all, let us have a look at the formula for volume of a cylinder.

Where
is the radius and
is the height of cylinder.
As per question statement:
= 40 km (variable)
= 2.5 (constant)

As
are constant:

Answer:
the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)
Step-by-step explanation:
since the variance S² of the batch follows a normal distribution , then for a sample n of 20 distributions , then the random variable Z:
Z= S²*(n-1)/σ²
follows a χ² ( chi-squared) distribution with (n-1) degrees of freedom
since
S² > 3.10 , σ²= 1.75 , n= 20
thus
Z > 33.65
then from χ² distribution tables:
P(Z > 33.65) = 0.02020
therefore the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)