Answer:
The required probability is 0.0155.
Step-by-step explanation:
We are given that the one-year survival rate for pancreatic cancer is 20%.
Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year.
The above situation can be represented through binomial distribution;

where, n = number of trials (samples) taken = 12 people
r = number of success = 6 survived
p = probability of success which in our question is probability of
one-year survival rate for pancreatic cancer, i.e; p = 20%
Let X = <u><em>Number of people survived one year</em></u>
So, X ~ Binom(n = 12 , p = 0.20)
Now, the probability that 6 survived one year is given by = P(X = 6)
P(X = 6) =
=
= <u>0.0155</u>
Hello! A triangle has angles that sum up to 180°. So first off, let's solve for the angle of the other triangle. 83 + 31 gives us 114. 180 - 114 is 66. So the angle for the first triangle is 66°. The opposite angle would be the same. Finding the measurement of the other triangle gives us the measurement of x, because the angles are the same. So x = 66°.
We are given the function f(x) = x + 5 in which the abscissa chosen is at x = 4w. To find the ordinate or the y-component, we replace x with 4w in the equation given. In this case, y = 4w + 5. Hence the answer to this problem is B. (4w, 4w + 5)
Answer:
<h3> The first: The easiest to solve for is x in the first equation.</h3>
Step-by-step explanation:
To get x from first equation you just need to subtract 4y from both sides.
The rest of variables needs two operations to get variable - subtracting and then dividing.
Answer:
The price of the admission is 15.
Step-by-step explanation:
From the information given, you can write the following equations:
a+3e=45 (1)
a+5e=65 (2), where:
a is the admission cost
e is the exhibition cost
First, you can solve for a in (1):
a=45-3e (3)
Second, you can replace (3) in (2):
45-3e+5e=65
45+2e=65
2e=65-45
2e=20
e=20/2
e=10
Finally, you can replace the value of e in (3):
a=45-3e
a=45-3(10)
a=45-30
a=15
According to this, the price of the admission is 15.