Answer:
<u>Hence final answer is B: Step 2.</u>
Step-by-step explanation:
Step 1: Find the total points needed to score in six games: 96x6=576
Justification:
Product of 96 and 6 is 576 which is same number found by Brenda. So step 1 is correct.
Step 2: Find the total points scored: 92+110+85+78=365
Justification:
Sum of total points scored by Brenda is 92+110+85+78= 461.
But she got different value 365.
Hence step 2 is wrong.
<u>Hence final answer is B: Step 2.</u>
Answer:
24 years old
Step-by-step explanation:
Let the age of Blake be x and the age of Heather by y then...
x=7+y
7+x+7+y=55
Notice we are adding additional 7s because the question states "in 7 years"
Simplify the second equation...
7+x+7+y=55
14+x+y=55
Subtract 21 from both sides
x+y=41
Solve using substitution (substitute 7+y for x since x = 7+y)
7+y+y=41
Combine like terms
2y+7=41
Subtract 7 from both sides
2y=34
Divide both sides by 2
y=17
x=7+17=24
Blake is 24 years old now
The mean is 35/5=7
The variance is the average of the sum of squared differences of each element from the mean:
v=((7-7)^2+(5-7)^2+(11-7)^2+(1-7)^2+(11-7)^2)/5
v=(0+4+16+36+16)/5
v=14.4
Answer:
E) 1 and 2
Step-by-step explanation:
We are given that there are two integers (s and t) and they are factors of another integer (n). For example if s = 3 and t = 2, we can have n = 6.
Thus:
n^(st) = 6^(2*3) = 6^6 = (2^6)(3^6)
For the first condition: s^t = 3^2 is a factor of (2^6)(3^6)
For the second condition: (st)^2 = (3*2)^2 = 6^2 is a factor of 6^6
For the third condition: s+t = 3+2 = 5 is not a factor of 6^6 or (2^6)(3^6)
Therefore, only 1 and 2 are factors of n^(st)
