Answer:
x = 1
Step-by-step explanation:
Using the rules of logarithms
log
⇔ n log x
x = n ⇔ x = 
Given
3
(2x) = 3
(2x)³ = 3
(2x)³ = 2³
8x³ = 8 ( divide both sides by 8 )
x³ = 1 ( take the cube root of both sides )
x = 1
Answer:
For 90:
9 10p coins
7 10p coins and 1 20p coin
5 10p coins and 2 20 p coins
3 10p coins and 3 20p coins
For 60:
6 10p coins
4 10p coins and 1 20p coin
2 10p coins and 2 20p coins
3 20p coins
Step-by-step explanation:
Answer:
There is approximately 17% chance of a person not having a disease if he or she has tested positive.
Step-by-step explanation:
Denote the events as follows:
<em>D</em> = a person has contracted the disease.
+ = a person tests positive
- = a person tests negative
The information provided is:

Compute the missing probabilities as follows:

The Bayes' theorem states that the conditional probability of an event, say <em>A</em> provided that another event <em>B</em> has already occurred is:

Compute the probability that a random selected person does not have the infection if he or she has tested positive as follows:


So, there is approximately 17% chance of a person not having a disease if he or she has tested positive.
As the false negative rate of the test is 1%, this probability is not unusual considering the huge number of test done.
C) 2 5/16 that is the answer. Hope this helps
Answer:
Let's solve your problem step-by-step:
6 < k/9 +7
Step 1: Simplify both sides of the inequality:
6<1/9 k+7
Step 2: Flip the equation:
1/9 k+7 > 6
Step 3: Subtract 7 from both sides:
1/9 k+7 -7 > 6-7
1/9 k > - 1
Step 4: Multiply both sides by 9:
9 * (1/9) > (9) * (-1)
Answer: <u>k > − 9</u>
Step-by-step explanation:
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Hope this helps! Good luck! :)