There are 28 students in first period and 56 students in sceond period and 74 students in third period
<em><u>Solution:</u></em>
Let the number of students in first period be "x"
Let the number of students in second period be "y"
Let the number of students in third period be "z"
<em><u>There are 158 students registered for American History classes.</u></em>
Therefore,
x + y + z = 158 ---------- eqn 1
<em><u>There are twice as many students registered in second period as first period</u></em>
number of students in second period = twice of number of students in first period
y = 2x ------- eqn 2
<em><u>There are 10 less than three times as many students in third period as in first period</u></em>
number of students in third period = 3 times number of students in first period - 10
z = 3x - 10 ------ eqn 3
<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>
x + 2x + 3x - 10 = 158
6x = 168
<h3>x = 28</h3>
<em><u>Substitute x = 28 in eqn 2</u></em>
y = 2(28)
<h3>y = 56</h3>
<em><u>Substitute x = 28 in eqn 3</u></em>
z = 3(28) - 10
z = 84 - 10
<h3>z = 74</h3>
Thus there are 28 students in first period and 56 students in sceond period and 74 students in third period
Answer:
12.4 did this before
Step-by-step explanation:
B because why can’t it ! Heheehebe. She herb
Answer:
4.39% theoretical probability of this happening
Step-by-step explanation:
For each coin, there are only two possible outcomes. Either it lands on heads, or it lands on tails. The probability of a coin landing on heads is independent of other coins. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
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 combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Theoretically, a fair coin
Equally as likely to land on heads or tails, so 
10 coins:
This means that 
What is the theoretical probability of this happening?
This is P(X = 2).
4.39% theoretical probability of this happening
Answer:
Cost =$3
Amount = 8 gallons and 17 gallons
Step-by-step explanation:
Given
24 + 51
Required
Simplify to show the cost and amount of gas bought by each individual
24 + 51
[Factorize]
3(8 + 17)
The above can't be factored any further.
Since the cost of gas for both individuals is the same, we can conclude the following.
Cost = $3
This is so because it applies to both numbers in brackets
Amount of Gas = 8 gallons and 17 gallons respectively by both individuals
