Answer:
A point is chosen at random inside the cylinder, then probability the point belongs outside of the spheres is 0.25
Step-by-step explanation:
Let's find volume of the cylinder and volume of the three spheres.
Volume of cylinder =
Volume of sphere =
Now, r =2.7
h=8.1
Find volume of each shape.
Volume of cylinder =
=59.049
Now, volume of 3 spheres =
=78.732
Now, p(E)=
So, Probability of point is chosen at random inside the cylinder which belongs outside of the spheres is
Let's simplify them
0.25
A point is chosen at random inside the cylinder, then probability the point belongs outside of the spheres is 0.25
Answer:
(x−5)(x+3)
Step-by-step explanation:
To factorise, we firstly need two brackets, each containing an x.
(x)(x)
This creates the x2 term.
Now we need to get the rest of the terms. To do this, we need two factors of −15 which will add/subtract to give us +2
The two factors that do this are −3 and 5, as −3+5=2
∴(x−3)(x+5)
You can check by expanding it out.
Answer:
1.8
Step-by-step explanation:
First, find 40% of 15:
15(0.4)
= 6
Next, find 30% of this:
6(0.3)
= 1.8
So, the answer is 1.8
The answer is D. 89 7/8 in bc of math and adding boi
Answer:
Matching the vocabulary word with its corresponding example:
1. All children who Ski and Snowboard = population (a group of items, units or subjects which is under reference of study e.g inhabitants of a region, numbers of cars in a city e.t.c)
2. The 92 children who were asked when they took their first lesson = Sample (a part or fraction of a population selected on some basis)
3. The average age that all children take their first to lesson = Parameter (the number that summarizes some characteristics of a population
4. The average age that the 92 children took their first lesson = statistic (a sample characteristic corresponding to the population parameter used when a sample is use to make inference about a population)
5. The age that children take their first listen = variable (anything that has attribute, quality or quantity that varies or a characteristic/attribute that describes a place, person or thing)
6. The list of the 92 ages that the children from the study took the first listen = data (facts that are collected together for analysis)
Step-by-step explanation:
