The probability that a student, chosen at random, does not study chemistry is 20/41.
<h3>
What is Probability?</h3>
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Here, Total number of student = 41
Student who does not study chemistry = 20
So, the probability = favorable outcome / total outcomes
P(not studying chemistry) = 20 / 41
Thus, The probability that a student, chosen at random, does not study chemistry is 20/41.
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Answer:
b
Step-by-step explanation:
the answer is b , x= 2 and y= 8, observe: 3.2+ 4.8= 6+32=38 , second ecuation 5.2-5.8= 10-40= -30
Answer:
C ![4\log_w(x^2-6)-\dfrac{1}{3}\log_w(x^2+8)](https://tex.z-dn.net/?f=4%5Clog_w%28x%5E2-6%29-%5Cdfrac%7B1%7D%7B3%7D%5Clog_w%28x%5E2%2B8%29)
Step-by-step explanation:
First use the property of logarithms
![\log _ab-\log_ac=\log_a\dfrac{b}{c}.](https://tex.z-dn.net/?f=%5Clog%20_ab-%5Clog_ac%3D%5Clog_a%5Cdfrac%7Bb%7D%7Bc%7D.)
For the given expression you get
![\log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2+8} }=\log_w(x^2-6)^4-\log_w\sqrt[3]{x^2+8}=\log_w(x^2-6)^4-\log_w(x^2+8)^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Clog_w%5Cdfrac%7B%28x%5E2-6%29%5E4%7D%7B%5Csqrt%5B3%5D%7Bx%5E2%2B8%7D%20%7D%3D%5Clog_w%28x%5E2-6%29%5E4-%5Clog_w%5Csqrt%5B3%5D%7Bx%5E2%2B8%7D%3D%5Clog_w%28x%5E2-6%29%5E4-%5Clog_w%28x%5E2%2B8%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
Now use property of logarithms
![\log_ab^k=k\log_ab.](https://tex.z-dn.net/?f=%5Clog_ab%5Ek%3Dk%5Clog_ab.)
For your simplified expression, you get
![\log_w(x^2-6)^4-\log_w(x^2+8)^{\frac{1}{3}}=4\log_w(x^2-6)-\dfrac{1}{3}\log_w(x^2+8).](https://tex.z-dn.net/?f=%5Clog_w%28x%5E2-6%29%5E4-%5Clog_w%28x%5E2%2B8%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D4%5Clog_w%28x%5E2-6%29-%5Cdfrac%7B1%7D%7B3%7D%5Clog_w%28x%5E2%2B8%29.)
Answer:
B
Step-by-step explanation:
YOu have to take out hte inches so now we have A and B. But, the inches cancel out so we get B.
Answer:
Solving the Equation would be: y= 7x-37, Finding the Function would be x= 37 over 7
Step-by-step explanation:
Function:
y-5=7(x-6)
0-5=7(x-6)
0-5=7x-42
-5=7x=42
-7x-5=-42
-7x=-42+5
-7x=-37
x=37 over 7
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Solving the Equation:
y-5=7(x-6)
y-5=7x-42
y=7x-42+5
y=7x-37
y=7x-37, x ER