<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is 
We have to solve the above expression using change of base formula which is given as
Now, let us first apply logarithm for the given expression.
Then given expression turns into as, 
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
Answer:
a) The expected number of questions that are answered correctly by both A and B = 11 (7 + 4).
b) The Variance of the number of questions that are answered correctly by either A or B = 2.25.
Step-by-step explanation:
Number of questions in the examination = 10
Probability of A's answer being correct = 0.7
Probability of B's answer being correct = 0.4
The expected number of questions that are answered correctly by both A and B:
Probability of Expected
Correct Answer Value Variance
A 0.7 7 (0.7 * 10) 2.25
B 0.4 4 (0.4 * 10) 2.25
Total expected value = 11
Mean = 5.5 2.25
Answer:
12 feet
Step-by-step explanation:
The answer is options C and D
When you are checking over your work and solution, you C) want to make sure you include the correct units so that the answer makes sense in the context of the question and D) see if the answer is reasonable. For example, if I say 2(3)+1=6839, does this make sense? No, especially because the numbers in the question are small integers and could not result in such a large value.
-E :)
2x - 3 > 11 - 5x |add 3 to both sides
2x > 14 - 5x |add 5x to both sides
7x > 14 |divide both sides by 7
x > 2
x = 4
