Answer:
360/2500
Step-by-step explanation:
the blue marble is 15 times out of 50 = 15/50 reduces to 3/10
landing on tails is 24 out of 50 = 24/50 reduces to 12/25
to find the probability of both multiply together:
3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250
if you multiplied the numerator and denominator by 10 you get 360/2500.
the answer is 360/2500
You would have 78,125 dimes after the 7th study session.
Which would equal out to $7,812.50
Answer:
a)
b) 
c) 

So then we have:

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
For this case we want this probability:

Part b
For this case we want this probability:

And using the probability mass function we got:

Part c
For this case we want this probability:

And we can use the complenet rule and we got:


So then we have:

Answer:
1) 512.628865979
2) 218.581395349
3) 231.384615385
4) 3962.53333333
5) 150.004
6) 161.161290323
7) 6107.94117647
8) 13.3191489362
9) 403.136363636
10) 59.6326530612
Hope this helps a lot! <3
Answer:
y = 2x + 3.5
Step-by-step explanation:
Step 1: find the slope
8y + 4x = 64
8y = 64 - 4x
Make y the subject of the formula
y = (64 - 4x)/8
y = ( -4x + 64)/8
Separate to get slope
y = -4x/8 + 64/8
y = -x/2 + 8
Slope is the coefficient of x
m = -1/2
Note: if two lines are perpendicular to the other , it is negative reciprocal to each other
m = 2
Using the point slope form equation
y - y1 = m(x - x1)
y - y1 = 2(x - x1)
Substitute the point
( 3.5 , 0)
x1 = 3.5
y1 = 0
y - 3.5 = 2( x - 0)
open the bracket
y - 3.5 = 2x - 0
y = 2x - 0 + 3.5
y = 2x + 3.5
The equation of the line is
y = 2x + 3.5