<h3>
Answer: n^2 + 1</h3>
Explanation:
Imagine that you cross out the top-most square for each step of each diagram. The squares not crossed out have the following counts: 1, 4, 9
This is the sequence of perfect squares. So the rule will have us take the number n, and square it to get n^2. Then we add on the squares we crossed out earlier. This explains the "plus 1" at the end to get the answer of n^2+1
10 red marbles
Multiply the # of blue marbles by 2 (since there was TWICE as many red marbles), and you have your answer (above)
First, to set up consecutive odd or even integers you have to add 2 to the previous integer.
Let x be the first integer,
(x + 2), (x + 4), and (x + 6)
Now set up the parameters they give:
3(x + x + 2) = x + 6 - 25
Solving:
Combine like terms and distribute on the left, combine like terms on the right.
3(2x + 2) = x - 19
6x + 6 = x - 19
Subtract x from both sides and subtract 6 from both sides.
5x = -25
Divide both sides by 5
x = -5
x + 2 = -5 + 2 = -3
x + 4 = -5 + 4 = -1
x + 6 = -5 + 6 = 1
Check:
3(-5 + -3) ?=? 1 - 25
-24 ?=? -24 CORRECT
Answer:
profit=20%
Step-by-step explanation:
profit%=sp-cp/cp×100%
=1500-1250/1250×100
=250/1250×100
=20%
Answer:
Step-by-step explanation:
Let x be the normal body temperature
X is N(99, sigma)
Sample mean x bar = 98.2 and s = 0.63
Margin of error = Z critical * 0.63 = 1.95 *0.63 = 1.2285
It is safe since 1.5 <1.96 critical value of z at 95%
