Answer:
1. 121 π unit²
2. 143°
3. 151 unit²
Step-by-step explanation:
1.
Area of a circle is given by the formula A = πr²
where
A is the area,
r is the radius of the circle
From the given diagram, we can see that the radius is 11, hence the area will be:
The answer is 
units^2
2.
The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°
The measure of the central angle of the shaded sector is 143°
3.
Area of a sector is given by the formula 
Where
is the central angle of the sector (in our case it is 143°)
r is the radius (which is 11)
Plugging in all the info into the formula we have:
<em>rounding to the nearest whole number, it is </em>151 units^2
<span>supplement angles, sum = 180
lets x = angle
</span><span>its supplement = 180 - x
x + 17x = 180
18x = 180
x = 10
180 -10 = 170
answer
angle = 10
its </span><span>supplement = 170</span>
The function
f(x) is even
g(x) is neither even nor odd
h(x) is odd
Steps:
for an even function it holds that f(-x) = f(x):
f(-x) = (-1)^6 x^6 - (-1)^4 x^ 4 = x^6 - x^4 = f(x) => f is even
for an odd h(x) it holds that h(-x) = -h(x):
It is easy to show that g(x) does not match any of the two possibilities above.
The answer is D) 3,404
By putting the table values into the progam DESMOS, and then putting in the formula, the answer will be given- and that answer is 3,404.
Answer:
The probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.
Step-by-step explanation:
Let a set be events that have occurred be denoted as:
S = {A₁, A₂, A₃,..., Aₙ}
The Bayes' theorem states that the conditional probability of an event, say <em>A</em>ₙ given that another event, say <em>X</em> has already occurred is given by:
The disease Breast cancer is being studied among women of age 60s.
Denote the events as follows:
<em>B</em> = a women in their 60s has breast cancer
+ = the mammograms detects the breast cancer
The information provided is:
Compute the value of P (B|+) using the Bayes' theorem as follows:
Thus, the probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.
