Answer:
∠B = 52°
Step-by-step explanation:
Since we know that the sum of all inner angles of the triangle equal to 180°, then we can make the following equation,
5x + 3x + 2x + 20 = 180
10x = 180 - 20
10x = 160
x = 160 / 10
x = 16
Since we know that ∠B = (2x + 20)°, we can calculate the following
∠B = (2x + 20)°
∠B = (2(16) + 20)°
∠B = (32 + 20)°
∠B = 52°
Answer: I think A
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
The question is incomplete due to the probability distribution table, investigating you can find it so I will attach it.
Having the table, we need to find the mean of the probability distribution, which is defined as the sum of the product of probability and value of random distribution, that is:
M = Sum (xi) * P (xi)
We replace:
M = 0.5 * 0.07 + 1 * 0.2 + 1.5 * 0.46 + 2 * 0.2 + 2.5 * 0.07
M = 1.5
Therefore, the mean of the given table is 1.5
On day 3, the chart meets up at the same point, so on that day they will have had the same number left.
Step-by-step explanation:
Answer: The equation is y = 0.25/(x - 4) + 3
Step-by-step explanation:
If we have a function y = f(x)
A compression means that we multiply the function by a factor smaller than 1.
Then the vertical compression by a factor of 0.25 is:
y = 0.25*f(x)
a translation by A units to the right, means that we need to valuate the function in x - A.
So now we have:
y = 0.25*f(x - 4)
A translation in the y-axis means that we need to add a constant to the equation, then if we tralate it by 3 units up, we have:
y = 0.25*f(x - A) + 3
Then, if f(x) = 1/x
Our new equation is:
y = 0.25/(x - 4) + 3
