First question seems incomplete :
Answer:
40 ways
Step-by-step explanation:
Question B:
Number of boys = 6
Number of girls = 4
Number of people in committee = 3
Number of ways of selecting committee with atleast 2 girls :
We either have :
(2 girls 1 boy) or (3girls 0 boy)
(4C2 * 6C1) + (4C3 * 6C0)
nCr = n! ÷ (n-r)!r!
4C2 = 4! ÷ 2!2! = 6
6C1 = 6! ÷ 5!1! = 6
4C3 = 4! ÷ 1!3! = 4
6C0 = 6! ÷ 6!0! = 1
(6 * 6) + (4 * 1)
36 + 4
= 40 ways
Answer: 48/10
Step-by-step explanation: 65/10 - 17/10 = 48/10 also known as 4 8/10
Answer:
a) 
With:


b) 

c) 

d) 


Step-by-step explanation:
For this case we know the following propoertis for the random variable X

We select a sample size of n = 81
Part a
Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

With:


Part b
We want this probability:

We can use the z score formula given by:

And if we find the z score for 89 we got:


Part c

We can use the z score formula given by:

And if we find the z score for 75.65 we got:


Part d
We want this probability:

We find the z scores:



Answer:
Step-by-step explanation:
There are an infinite number of possible solutions.
here's a few
(1 - 4i) + (-12 + 4i)
(-5.5 + 2i) + (-5.5 + i)
(-24 - 27i) + (13 + 30i)
Answer:
-0.55 + 0.53a
Step-by-step explanation:
-0.55 – 0.47a + a
To find an expression equivalent to this, we must simplify the equation to a reasonable extent;
-0.55 – 0.47a + a
= -0.55 + 0.53a
= 0.53a - 0.55
The expression equivalent to the given one is -0.55 + 0.53a or 0.53a - 0.55