Answer:
The probability is 0.33696
Step-by-step explanation:
The probability that the outcome will be heads x times is calculated using the following equation:
nCx is calculated as:
This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.
So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.
Then, the probability that the outcome will be heads at least 4 times is calculated as:
P = P(4) + P(5)
Where P(4) is:
P(4)=0.2592
And P(5) is:
P(4)=0.07776
Finally, the probability is:
P = 0.2592 + 0.07776
P = 0.33696
Answer:
The remainder is 8
Step-by-step explanation:
Let Jonah's Marble=x
If he arranges x marbles into y rows of 13 each, and there are remainders(R)
Then:
x/13=y+(R/13).....(I)
If he borrows 5 marbles from a friend, there will be no remainder. However, the number of rows y, will be increased by 1
New Total Marbles=x+5
(x+5)/13=y+1.....(ii)
x+5=13(y+1)
x=13y+13-5
x=13y+8
From (I)
x=13y+R
Comparing the values of x derived from (I) and (ii)
13y+R=13y+8
Therefore the Remainder, R= 8
Answer:
The correct choice is (0,-3)
Step-by-step explanation:
To convert from polar coordinates to rectangular coordinates, we use the parametric equations:
and 
The point given to us in polar coordinates is 
.
where 
and 
and 
and 
The correct choice is (0,-3)
1) (2i-4)-(6i+9) = 2i-4-6i-9 = -4i-13
2) (-3+8i)+(3-8i) = -3+8i+3-8i = 0+0i = 0
Answer:
10
Step-by-step explanation:
Multiplying both sides by 14
2*3=h-(2*2)
6=h-4
h=6+4
h=10
