Answer:
10
30%
Step-by-step explanation:
In this case it would be the combination of 2 taken from 5.
That is, when n = 5 and r = 2
nCr = n! / r! * (n-r)!
replacing
5C2 = 5! / (2! * 3!)
5C2 = 10
Which means that the sample space is 10 possible combinations.
the probability that the card you draw is even is 3/5, since there are 3 even cards that exist and 5 is the total number of cards.
Now, so that both are for it would be the multiplication of the previous probability and 2/4 because an even card and a card in general have already been drawn:
(3/5) * (2/4) = 0.3
So the probability that both are even is 30%
Answer: ∆V for r = 10.1 to 10ft
∆V = 40πft^3 = 125.7ft^3
Approximate the change in the volume of a sphere When r changes from 10 ft to 10.1 ft, ΔV=_________
[v(r)=4/3Ï€r^3].
Step-by-step explanation:
Volume of a sphere is given by;
V = 4/3πr^3
Where r is the radius.
Change in Volume with respect to change in radius of a sphere is given by;
dV/dr = 4πr^2
V'(r) = 4πr^2
V'(10) = 400π
V'(10.1) - V'(10) ~= 0.1(400π) = 40π
Therefore change in Volume from r = 10 to 10.1 is
= 40πft^3
Of by direct substitution
∆V = 4/3π(R^3 - r^3)
Where R = 10.1ft and r = 10ft
∆V = 4/3π(10.1^3 - 10^3)
∆V = 40.4π ~= 40πft^3
And for R = 30ft to r = 10.1ft
∆V = 4/3π(30^3 - 10.1^3)
∆V = 34626.3πft^3
6(3x+5)
6*3x=18x
6*5=30
<u>18x+30</u> is your answer! I hope this helped! :)
In this situation, the cases are the bags or each piece of baggage.
<h3>What is a case?</h3>
In statistics, the word case is used to refer to the individual from which data is collected. For example, in a study about students' performance, the cases are each of the students.
<h3>What is the case in this situation?</h3>
Considering the administrators will need to weight and record each bag, the cases are each piece of baggage.
Note: This question is incomplete; here are the missing options:
A. Number of bags weighing more than 75 pounds.
B. Average weight of the bags.
C. Each piece of baggage.
D. The airport administrators.
Learn more about statistics in brainly.com/question/8058700
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