He can cut 5 squares, by making 1 4 × 4, 2 3 × 3 and 2 2 × 2 squares.
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
Mean = 10
Sample size = 9
Standard deviation = 6
We need to find the upper and lower control limits.
so, Lower limit would be
Upper limit would be
Hence, Third option is correct.
General exponential equation
y = A(1+r)^x
where
A = initial value
r = rate increase (+) or decrease (-)
x = time period of the change
y = projected value
y = 300(1.05)^x
in this problem, x = years after 2017
we want to find an x that makes the value more than or equal to 650
650 <= 300(1.05)^x
The correct answer is choice D. If you put choice D into words, it is saying 30% (0.3) of the total is 12 minutes.
To solve this, use inverse operations.
<span><u>0.3m</u> = <u>12</u>
</span>0.3 0.3
m = 40
It will take Beck 40 minutes.
(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.
Answer: D. 41 cm
There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,
a^2+b^2 = (b+1)^2
a^2 + b^2 = b^2 + 2b +1
a^2=2b+1
So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.
b = (a^2 - 1)/2
a=3, b=(3^2-1)/2=4, c=b+1=5
a=5, b=(5^2-1)/2 =12, c = 13
a=7, b=24, c=25
a=9, b=40, c=41
a=11, b=60, c=61
a=13, b=84, c=85
It's good to be able to recognize Pythagorean Triples when we see them.
Otherwise we'd have to work the calculator:
√(9² + 40²) = √1681 = 41
