Answer:
83 is prime
97 is prime
92 is composite - The pairs are (1,96) (2,46) (4,23)
Step-by-step explanation:
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Davis wants to pour 5 gallons of punch into ½ gallon jugs How many jugs will he need?
A. 2½
B. 5½
C. 10
D. 15
Answer:
Number of jugs = 10
Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.
Step-by-step explanation:
David has 5 gallons of punch that he wants to pour into jugs.
The capacity of 1 jug is ½ gallon.
The required number of jugs may be found as
Number of jugs = gallons of punch/capacity of jug
For the given case, we have
Gallons of punch = 5
capacity of jug (in gallons) = ½ = 0.5
So, the required number of jugs is,
Number of jugs = 5/½
Number of jugs = 5/0.5
Number of jugs = 10
Therefore, Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.
Answer:
0.0512
Step-by-step explanation:
We are told in the question that X isa Binomial variable. Hence we solve this question, using the formula for Binomial probability.
The formula for Binomial Probability = P(x) = (n!/(n - x) x!) × p^x × q ^n - x
In the above question,
x = 3
n = 5
p = probability for success = 0.2
q = probability for failures = 1 - 0.2 = 0.8
P(x) = (n!/(n - x) x!) × p^x × q ^n - x
P(3) = (5!/(5 - 3) 3!) × 0.2^3 × 0.8^5-3
P(3) =( 5!/2! × 3!) × 0.2³ × 0.8²
P(3) = 10 × 0.008 × 0.64
P(3) = 0.0512
When baking and you need to know whether you have to buy a half a gallon or a gallon:)
