Answer:
a)
b)
And we can use the complement rule and we got:
And replacing we got:
c)
d)
e)
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
We want this probability:
And using the probability mas function we got:
Part b
We want this probability:
And we can use the complement rule and we got:
And replacing we got:
Part c
We want this probability:
Part d
the expected value is given by:
Part e
The standard deviation is given by:
Answer:
A.
Step-by-step explanation:
Both equations are solved for y so I'm just going to substitute
the 1st y (the 2x+4) into the second equation's y.
I'm going to get everything on one side so I have 0=ax^2+bx+c.
Subtract 2x and subtract 4 on both sides:
Since the coefficient of x^2 is 1, all we have to do is find two numbers that multiply to be -6 and add up to be -1.
These numbers are -3 and 2.
So the factored form of our equation is:
This means we have x-3=0 or x+2=0.
x-3=0
Add 3 on both sides:
x=3
x+2=0
Subtract 2 on both sides:
x=-2
So now we need to find y. I'm going to choose to use the easier equation:
y=2x+4.
If x=3, then y=2(3)+4=6+4=10. The ordered pair (3,10) is a solution.
If x=-2, then y=2(-2)+4=-4+4=0. The orded pair (-2,0) is a solution.
Answer:
Upper bound for distance = 100.49. This is the highest number that you can round up to get 10.52.
Lower bound for time = 10.515 seconds. This is the lowest number that you can round up to get 10.52.
Upper bound for average speed = Upper bound for distance divided by upper bound for time.
100.49/10.5249 = 9.548 seconds.
Lower bound for average speed = Lower bound for distance divided by lower bound for time.
99.5 / 10.515 = 9.463 seconds.
Step-by-step explanation:
Hope this helps you out.
X,y = -6,6
( hope this helped )
For 20 months, Molly deposited $86.50, so she deposited a total of 86.5 * 20, namely 1730 bucks.
now, every month she deflated her account by $24.50 to pay for her singing lessons, she did that every month, namely for 20 months so she deflated the account balance by 24.5 * 20, or 490 bucks.
so, she deposited 1730 and deflated it by 490, 1730 - 490 = 1240, that's all that's left in the account.
for the Summer Camp, she spent 1/4 of that, what's a quarter of that? well is just their product, (1/4) * 1240.