The tree diagram is constructed and attached below in the image.
First we have to make a choice out of 3 subjects, so the probability of choosing art as the first subject is 1/3.
Once we have chosen art as the first subject, we have two choices. So the probability of choosing each option now is 1/2. Thus, the probability of choosing math, science is 1/2.
The probability of choosing the projects in order of art, math, science = 1/3 x 1/2 = 1/6
Therefore, the probability that the projects are in order of art, math, science is 1/6 (one over 6). So first option gives the correct answer.
The answer is a, i dont think i want the prize tho lol
I will solve your system by substitution.<span><span>x=<span><span>3y</span>−1</span></span>;<span><span><span>5x</span>−<span>7y</span></span>=19</span></span>Step: Solve<span>x=<span><span>3y</span>−1</span></span>for x:Step: Substitute<span><span>3y</span>−1</span>forxin<span><span><span><span>5x</span>−<span>7y</span></span>=19</span>:</span><span><span><span>5x</span>−<span>7y</span></span>=19</span><span><span><span>5<span>(<span><span>3y</span>−1</span>)</span></span>−<span>7y</span></span>=19</span><span><span><span>8y</span>−5</span>=19</span>(Simplify both sides of the equation)<span><span><span><span>8y</span>−5</span>+5</span>=<span>19+5</span></span><span>(Add 5 to both sides)
</span><span><span>8y</span>=24</span><span><span><span>8y</span>8</span>=<span>248</span></span>(Divide both sides by 8)<span>y=3</span>Step: Substitute3foryin<span><span>x=<span><span>3y</span>−1</span></span>:</span><span>x=<span><span>3y</span>−1</span></span><span>x=<span><span><span>(3)</span><span>(3)</span></span>−1</span></span><span>x=8</span><span>(Simplify both sides of the equation)</span><span>
x=<span><span>8<span> and </span></span>y</span></span>=3
The answer would be 16 S'mores and the limiting reactant would be the grahams.
(This is assuming that S'mores would need 2 grahams, 1 marshmallow and 1 chocolate piece.)
Limiting reactant would be the reactant that runs out first.
Let's take your problem into account and see what we have:
48 marshallows
32 grahams (2 x 16 per pack)
45 chocolate pieces (5 x 15 pieces per bar)
Since need 2 of the grahams per S'more then the maximum yield of the grahams is 16 S'mores.
The maximum yield of marshmallows is 48.
The maximum yield of chocolate is 45.
Since you cannot make S'mores without the grahams, then you can only make 16 S'mores before the grahams run out.
Answer:
Step-by-step explanation:
A
According to the exercise we can say that the explanatory variable will be hours / weeks of study.
The response variable is GPA.
B
We definitely found that between the variables there is a weak or fragile relationship, neither negative nor positive nor linear.
C)
1.Observational study, since we observe that the only variables that will influence the results of the study are the observations of the students
2.No. This study is observational and its characteristics are not sufficient to conclude that studying more hours leads to obtaining a higher GPA.
