Answer:
1) 0.1504
2) 0.432
Step-by-step explanation:
1) The given information are;
The proportion of the morning appointments that are with elderly patients = 60%
The number of patients in the appointments = 10 patients
The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%
The binomial probability distribution is given as follows;
= 0.000105
= 0.0016
= 0.01062
= 0.0425
The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504
2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows
= 0.432
Answer:
The factored difference is: 
Step-by-step explanation:
Difference in non factored form:
To find the difference in non-factored form, we subtract the common terms. So
Greatest common factor:
Of the exponents: Between 
and 
, it is the one with the lowest exponent, so x.
Between 14, 20 and 10:
14 - 20 - 10|2
7 - 10 - 5
So 2
The gcf is 2x, which means that the factored expression is:
The factored difference is:
Answer:
(x+4)(x-5)
Step-by-step explanation:
We can look at it by thinking of two numbers, that add up to -1 and multiply to -20. We can first do this by looking at factors of -20, which are 1, -20, -1, 20, 2, -10, -2, 10, and so on. After looking through it, we can notice that -5 and 4 added equal -1, and when multiplied equal to -20, so they work. So, we factor to (x+4)(x-5)
Answer:
y = -4x - 24
Step-by-step explanation:
Firstly, figure out the slope. To do that, plug the coordinates in the formula.
y2 - y1 / x2 -x1
= -24 - 0 / 0 - (-6)
= -4
The slope is -4/1x.
To figure out the y-intercept, you need to plug one of the coordinates into
y = -4x + b
0 = -4(-6) + b
0 = 24 +b
-24 = b
