Answer: 5.196152423
Step-by-step explanation: Logically considering it's a Rhombus all the sides are equal to each other. So you just need to find the area. In this case you find the area by multiplying the sin of the given angle by the square root of the given side. So, 6²×sin (60)=6²×√3/2=31.17691454. After finding the area you then have to divide the area by it's base to find the height. So, 31.17691454 ÷ 6 = 5.196152423.
I didn't round any of the numbers. Hopefully this is correct.
Sorry about the messy diagrams (never been good at creating them) and how long it took.
Answer:
(a) The value of P (X > 10) is 0.3679.
(b) The value of P (X > 20) is 0.1353.
(c) The value of P (X < 30) is 0.9502.
(d) The value of x is 30.
Step-by-step explanation:
The probability density function of an exponential distribution is:
The value of E (X) is 10.
The parameter λ is:
(a)
Compute the value of P (X > 10) as follows:
Thus, the value of P (X > 10) is 0.3679.
(b)
Compute the value of P (X > 20) as follows:
Thus, the value of P (X > 20) is 0.1353.
(c)
Compute the value of P (X < 30) as follows:
Thus, the value of P (X < 30) is 0.9502.
(d)
It is given that, P (X < x) = 0.95.
Compute the value of <em>x</em> as follows:
Take natural log on both sides.
Thus, the value of x is 30.
Answer:
The probability that the counter was blue is
Step-by-step explanation:
Number of black Counters = 5
Number of blue Counters = 4
Number of white Counters = 1
We need to write down the probability that the counter was blue.
First find Total Counters
Total Counters = Number of black Counters + Number of blue Counters + Number of white Counters
Total Counters = 5+4+1
Total Counters = 10
Now, we need to find probability that the counter taken was blue
The formula used is:
There are 4 blue counters in the back, so Favourable outcomes = 4
The probability that the counter was blue is