To answer this, we let x some factor that would agree or make the ratio given true. We calculate as follows:
<span>2:3:4
2x:3x:4x
2x = 12
x = 6
Therefore, the length of the longest side would be 4x = 4(6) = 24 cm, third option.</span>
Answer: 3
Step-by-step explanation:
You can answer this question by using the equation
(8+x)(7+x)=110
The x represents the width, as we do not know the area. If you simplify the equation, it becomes 56+15x+x2=110.
If you move all the terms to the left side, and rearrange it, it can become x^2+15x-54=0
This can be simplified into (x-3)(x+18)=0
This equation makes it so that x is either 3 or -18. It is not possible for a width to be -18, so the width must be 3.
Answer:
c=42
s=30
Step-by-step explanation:
Answer:
10 minutes
Step-by-step explanation:
First off, you want to figure out how many photos it prints in one minute. 36 divided by 8 is 4.5. So you should add 4.5 to 36, which makes 40.5 in 9 minutes. Add another 4.5 and you get 45 which you should add another minute. That gives you 10 minutes.
Another way is to find how many per minute which would again be 4.5. 45 divided by 4.5 is 10. So once again, 10 minutes.
Answer:
0.36427
Step-by-step explanation:
Mean = λ = 18 messages per hour
P(X = x) = (e^-λ)(λ⁻ˣ)/x!
P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)
But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)
P(15 < X < 20) = P(X < 20) - P(X ≤ 15)
These probabilities will be evaluated using a cumulative frequency calculator.
P(X < 20) = 0.65092
P(X ≤ 15) = poissoncdf(18, 15) = 0.28665
P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.
You can use the Poisson distribution calculator here
https://stattrek.com/online-calculator/poisson.aspx
