To evaluate the <span>probability that in a randomly selected hour the number of watches produced is greater than 500 we proceed as follows:
z=(x-</span>μ<span>)/</span>σ
where:
x=500
μ=500
σ=100
thus
z=(500-500)/200=0
Thus:
P(x>500)=1-P(x<500)=1-P(z<0)=1-0.5=0.5
Answer: 0.5~50%
Answer:
-2
Step-by-step explanation:
Let's call the number x. The statement tells us that
x^2 - 10 = 3x, or
x^2-3x-10 = 0
Factoring:
(x-5)(x+2) = 0. Here, we see that there are two solutions: x = 5 and x = -2. So, the negative solution is x = -2.
Answer:
x = 34 degrees
Step-by-step explanation:
Each solid line and triangle add up to 180, so start from the left and slowly do your math.
180 - 112 = 68
180 - 68 - 43 = 69
180 - 69 = 111
180 - 111 - 35 = 34
x and the last angle are the same.
Answer:
Let's define the high temperature as T.
We know that:
"four times T, was more than 2*T plus 66°C"
(i assume that the temperature is in °C)
We can write this inequality as:
4*T > 2*T + 66°C
Now we just need to solve this for T.
subtracting 2*T in both sides, we get:
4*T - 2*T > 2*T + 66°C - 2*T
2*T > 66°C
Now we can divide both sides by 2:
2*T/2 > 66°C/2
T > 33°C
So T was larger than 33°C
Notice that T = 33°C is not a solution of the inequality, then we should use the symbol ( for the set notation.
Then the range of possible temperatures is:
(33°C, ...)
Where we do not have an upper limit, so we could write this as:
(33°C, ∞°C)
(ignoring the fact that ∞°C is something impossible because it means infinite energy, but for the given problem it works)
