Answer:
Step-by-step explanation:
a = 27
n = 20
d = -5
L20 = 27 + (n - 1)*d
L20 = 27 + (20-1)*_5
L20 = 27 + 19*-5
L20 = -68
Sum = (a + L)*n/2
Sum = (27 - 68)*20/2
Sum = -41 * 10
Sum = - 410
Answer:
The minimum number of fish each must have caught is 90 fishes
Step-by-step explanation:
The number of fishes Tisha's net can hold = 15
The number of fishes Dana's net can hold = 18
Let the total number of fishes both Tisha and Dana caught = X
15 × A = 18 × B = X
Therefore, X is the lowest common multiple (LCM) of 15 and 18 given as follows;
15 = 3 × 5
18 = 3 × 6
Therefore, the LCM of 18 and 5 = 3 × 5 × 6 = 90
Which gives, the minimum number of fish each must have caught = 90 fishes.
2, (double) 4, (double) 8 (double) 16, So 16 in week 4
2+4+8+16 = 30
A. Mr. Kent interviewed the 54 students as they are going to leave the school, it is not considered to be a random sample. It is because a random sample is when a set is taken from a population. Mr. Kent interviewed the 54 who are going to leave, meaning, he didn't take a set out of that 54, he took all of them. So it is not a random sample.
b. The question that Mr. Kent asked is considered to be a leading question, so it does not seem biased.
c. If there are 54 respondents.
51 = yes, the rest is no.
= 54 - 51 = 3
= 3 is now divided to 54 = 3/54
= giving an answer of 0.0555
= 0.0555 x 100
= 5.6%
= The percent of responses that says 'no' is 5.6%
Set up a system of equations:




x represents how many tee shirts were bought, and y represents how many long sleeve shirts were bought.
For the first equation, subtract y from both sides to get x by itself:

We'll now use substitution. Since x is equal to a value, we can substitute this value for the other equation:

Distribute the 10 to both terms in parentheses:



Combine like terms:


Subtract 90 from both sides:

Divide both sides by -3 to get y by itself:

6 long sleeve shirts were bought.
Now you have a value for y. Input this value into the first equation:

Subtract both sides by 6 to get x by itself:

3 tee shirts were bought.
The answer is B. 3 tee shirts and 6 long sleeve shirts.