Answer:
3017.54
Step-by-step explanation:
Volume for area of circle is A = Pie ( Or in this case 3.14 ) * radius ^ 2
Plug in the numbers 3.14 * 31 ^2
31 is half the diameter or the radius
Answer = 3017.54
Answer: $12.4
Step-by-step explanation:
34.72/2.8 hours = 12.4 dollars/hr
Given:
The equations are:


To find:
The equation that show the relationship between a and c.
Solution:
We have,
...(i)
...(ii)
Equation (i) can be rewritten as:
...(iii)
From (ii) and (iii), we get



Therefore, the required equation is
.
Answer:
The probability that he answered neither of the problems correctly is 0.0625.
Step-by-step explanation:
We are given that a student ran out of time on a multiple-choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer.
Let X = <u><em>Number of problems correctly answered by a student</em></u>.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 2 problems
r = number of success = neither of the problems are correct
p = probability of success which in our question is probability that
a student answer correctly, i.e; p =
= 0.75.
So, X ~ Binom(n = 2, p = 0.75)
Now, the probability that he answered neither of the problems correctly is given by = P(X = 0)
P(X = 0) = 
= 
= <u>0.0625</u>
We have two set of solutions , (
,
+ 3 ) , ( -
+ 3 , -
+ 3).
<u>Step-by-step explanation:</u>
We have , the following equations:
and
. Let's substitute value of y in bottom equation:
⇒ 
⇒ 
⇒ 
Roots of quadratic equation are given by: a = 1, b= 1 , c = -7

⇒ 
⇒ 
⇒
which is actually x = ±
.
We know that
,
⇒ y = ±
+ 3.
We have two set of solutions , (
,
+ 3 ) , ( -
+ 3 , -
+ 3).