Answer:
The probability of observing between 43 and 64 successes=0.93132
Step-by-step explanation:
We are given that
n=100
p=0.50
We have to find the probability of observing between 43 and 64 successes.
Let X be the random variable which represent the success of population.
It follows binomial distribution .
Therefore,
Mean,
Standard deviation , 
![\sigma=\sqrt{100\times 0.50(1-0.50)]](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B100%5Ctimes%200.50%281-0.50%29%5D)
Now,
Hence, the probability of observing between 43 and 64 successes=0.93132
Answer: 
Step-by-step explanation:
To find the equation from a graphed function, you can substitute points into each equation to find the original:
A point on the graph is (2, 4). Substituting this into each equation, we get:
, which claims that 4 is equal to 30, which is incorrect.
, which claims that 4 is equal to 3/2, which is incorrect.
, which claims that 4 is equal to 4, which is correct.
We can test the third function further by taking another point on the graph, (3, 5), and substituting it into the function:
, which claims that 5 is equal to 5, which is correct.
Answer:
19.08
Step-by-step explanation:
c² = a² + b² - 2ab×cos(C)
a=10
b=22
C=60
cos(60) = 0.5
c² = 10² + 22² - 2×10×22×cos(60) =
= 100 + 484 - 20×22×0.5 = 584 - 20×11 = 584 - 220 =
= 364
c = sqrt(364) ≈ 19.08
Answer: H=12 and B=8
Looking at the problem, you are given the area, <em>a</em> , and told the h is 4 meters longer than <em>b; </em>in other words, <em>h</em>=<em>b</em>+4.
Since <em>a=</em>1/2<em>bh</em>, you can replace <em>a</em> with 48. Also, since <em>h</em> is <em>b</em>+4, you can replace that as well. You'd end up with this equation:
48=1/2b(b+4)
1. Seeing that 48 is 1/2 of <em>b,</em> you know that you have twice the value of 48, or 96. So, you can put that 96=<em>b(b+4). </em>
2.<em> </em>Now, thinking through factors of 96- 1 x 96, 2 x 48, 3 x 32, 4 x 24, 6 x 16, or 8 x 12, the only pair in which <em>h </em>is b+4 is 12 x 8.
Hope this helps,
Lacia :))
You multiple 10 by 0.08 =0.8
