Answer:
Joe is correct
Step-by-step explanation:
Given equation:

The exponent outside the bracket is a question mark and the students are trying to determine the value of the question mark.
For ease of answering, let y be the unknown number (question mark):

First, simplify the equation by applying exponent rules to either side of the equation:







Now, apply the exponent rule:

Therefore,

Finally, solve for y:



Therefore, <u>Joe is correct</u> as the unknown number is 6.
Answer:
x<-8
Step-by-step explanation:
-5x-10>30
(add 10 to both sides)
-5x-10+10>30+10
-5x>40
<
(dividing through by -1 changes the sign of the inequality from "<" to ">")
5x<-40
(dividing through by 5)
<
x<-8
Answer:
The observed tumor counts for the two populations of mice are:
Type A mice = 10 * 12 = 120 counts
Type B mice = 13 * 12 = 156 counts
Step-by-step explanation:
Since type B mice are related to type A mice and given that type A mice have tumor counts that are approximately Poisson-distributed with a mean of 12, we can then assume that the mean of type A mice tumor count rate is equal to the mean of type B mice tumor count rate.
This is because the Poisson distribution can be used to approximate the the mean and variance of unknown data (type B mice count rate) using known data (type A mice tumor count rate). And the Poisson distribution gives the probability of an occurrence within a specified time interval.
Answer:
1) incorrect
2) incorrect
Step-by-step explanation:
-2x-2x = 0 ?
-2x -2x = -4x
It will be 0 only if x = 0.
Not always true, so incorrect
x+x = x² ?
2x = x²
They will be equal if x = 0 or 2.
Not always true so incorrect