So remember that percent means parts out of 100 so
52%=52/100=0.52
26%=26/100=0.26
'of' means multily
0.52 times x=65
divide both sides by 00.52
x=125
26% of a number is 39
0.26 times y=39
divide both sides by 0.26
y=150
x=125
y=150
y is greater
you know that becuase we know that 52% is exatly twice of 26% so therefor, if x=y then 52% of x is half of 26% of y so to compare them, we just divide the 65 number by 2 to find 26% of that number to get 65/2=32.5
32.5<39 so x is smaller number
Hi.
I'm going to tell you the process, since I don't have a calculator on me. Don't wanna risk it, lol.
We can break this shake into 2 parts: a rectangle, and a triangle.
To separate them, just calculate the area of the rectangle with 4 km & 3.5 km
Since the triangle's area is half that of the rectangle, all we need to do is divide the area of the rectangle by 2 to get the area of the triangle (it's confusing when in words, eh?)
Once you find the area of both, add them together.
This should get you the area of the shape.
I hope this helped. Once again, please let me know if there are mistakes.
The different probabilities and number of callers expected to be waiting are;
A) P(x = 3) = 0.0286
B) P(x = 13) = 0.1056
C) 8 will be waiting
D) P(x = 0) = 0.0003
E) P(x = 0) = 0.0067
<h3>How to find probability using Poisson distribution?</h3>
We are given the rate of 48 phone calls per hour.
Thus, we will use poisson's distribution formula;
P(x) = (λˣ × e^(-λ))/x!
A) Probability of receiving three calls in a 10-minute interval of time which is P(x = 3). Thus;
λ = 48 * (10/60)
λ = 8
P(x = 3) = (8³ × e⁻⁸)/3!
P(x = 3) = 0.0286
B) Probability of receiving exactly 13 calls in 15 minutes is P(x = 13). Thus;
λ = 48 * (15/60)
λ = 12
P(x = 13) = (12¹³ × e⁻¹²)/13!
P(x = 13) = 0.1056
C) No calls are currently on hold and it takes 10 minutes to complete one call. Thus;
λ = 48 * (10/60)
λ = 8
Thus, 8 will be waiting after 10 minutes.
D) Probability that no one will be waiting is;
P(x = 0) = (8⁰ × e⁻⁸)/0!
P(x = 0) = 0.0003
E) No calls being processed and it takes 5 minutes for a personal time without being interrupted by a call. Thus;
λ = 48 * (5/60)
λ = 4
P(x = 0) = (4⁰ × e⁻⁵)/0!
P(x = 0) = 0.0067
Read more about probability with poisson's distribution at; brainly.com/question/7879375
Answer:
6.71
Step-by-step explanation:
Hopefully this helps! :)