Remember PEMDAS ( Parentheses, Exponents, Multiplication⇔ Division, Addition ⇔ Subtraction), This is the order you work expressions in.
80 - (4 - 1)³ Subtract 1 from 4
80 - (3)³ Cube 3 (3 x 3 x 3)
80 - 27 Subtract
53
Answer:
Option B: 0.4
Step-by-step explanation:
We have 20 dots.
Such that each column represents the repetitions for each proportion.
So:
0.1 -> 3 times
0.2 -> 1 time
0.3 -> 4 times
0.4 -> 6 times
0.5 -> 3 times
0.6 -> 3 times
Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.
Remember that for a set of N values:
{x₁, x₂, ..., xₙ}
The mean is:
In this case we have the set of 20 points described above, then the mean is:
Rounding to the first place after the decimal point, we get:
M = 0.4
Then the correct option is option B.
Answer:
The side length of the large square is √2 times larger than the side length of the small square.
Step-by-step explanation:
Suppose we have a small square (square 1) and a large square (square 2). The area of the large square is twice that of the small square, that is,
A₂ = 2 A₁
A₂/A₁ = 2 [1]
The area of a square is equal to the length of the side (l) raised to the second power.
A = l²
l = √A
The ratio of l₂ to l₁ is:
l₂/l₁ = √A₂ / √A₁ = √(A₂/A₁)
We can replace [1] in the previous expression.
l₂/l₁ = √2
The side length of the large square is √2 times larger than the side length of the small square.
Answer:
B is your answer
Step-by-step explanation:
The slope-intercept form of the equation of a straight line is y=mx+b, where m is the slope and b is the y-coordinate of the y-intercept.
If the given slope is -1/2, then this equation becomes y = (-1/2)x + b.
You do not say that b=1.
But if we let b=1, then the equation becomes y = (-1/2)x + 1.
