A liquid contains 0.25 mg of a substance per milliliter. How many grams of the substance will 3.5 L contain?
1 answer:
Answer:
3.5 of the liquid will contain 0.875g of the substance.
Step-by-step explanation:
The problem states that a liquid contains 0.25 mg of a substance per milliliter. And asks how many grams of the substance will 3.5 L contain.
First step: Conversion of 3.5L to ml
Each liter has 1000ml. So:
1L - 1,000mL
3.5L - xmL
x = 1,000*3.5
x = 3,500mL
Second step: How many miligrams are there in 3,500mL?
The problem states that each ml of the liquid contains 0.25mg of a substance. So
1ml - 0.25mg
3,500 mL - xmg
x = 3,500*0.25
x = 875mg
Final step: Conversion of 875mg to g.
Each g has 1000 mg. So
1g - 1000mg
xg - 875mg
1000x = 875
x = 0.875g
3.5 of the liquid will contain 0.875g of the substance.
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Answer:
a) There is a 18.73% probability that exactly two students use credit cards because of the rewards program.
b) There is a 71.62% probability that more than two students use credit cards because of the rewards program.
c) There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.
Step-by-step explanation:
There are only two possible outcomes. Either the student use credit cards because of the rewards program, or they use for other reason. So, we can solve this problem by the binomial distribution.
Binomial probability
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And is the probability of X happening.
In this problem, we have that:
10 student are sampled, so
34% of college students say they use credit cards because of the rewards program, so
(a) exactly two
This is P(X = 2).
There is a 18.73% probability that exactly two students use credit cards because of the rewards program.
(b) more than two
This is .
Either a value is larger than two, or it is smaller of equal. The sum of the decimal probabilities must be 1. So:
In which
So
There is a 71.62% probability that more than two students use credit cards because of the rewards program.
(c) between two and five inclusive
This is:
There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.
Answer:
Option B -
Step-by-step explanation:
Given : Expression
To find : Expand each expression ?
Solution :
Using logarithmic properties,
and
Here, A=4y^5 and B=x^2
Using logarithmic property,
Therefore, option B is correct.