Answer:
50.272 in^2
Step-by-step explanation:
Step one:
Given data
Circles are described using the diameter parameter
Diameter of the circle is 8 inches
radius = 4 inche= d/2
Step two:
The area of the circle is
A= πr^2
A= 3.142*4^2
A=3.142*16
A=50.272 in^2
<span>x 2 3 4
f(x) 5.5 7 8.5 </span>
The first function is linear. When you subtract 5.5 from 7, you get 1.5 and when you subtract 7 from 8.5 you also get 1.5. That's how we know it's a linear function because there's clearly pattern. HOWEVER, if you had 5.5, 7, and 9 that would not be a linear function. Why? Because when you take away 7 from 9 you get 2. In order for it to be a linear function you have to get the same exact number when you subtract.
<span>x 0 3 6
f(x) 1 8 64</span>
The second function is exponential because when you divide you get the exact same number. 8/1 = 8 and 64/8 = 8. So this is exponential. But if you had 72 instead of 64 it would not be an exponential function because there has to be a pattern.
I hope this makes sense. Btw I had this question on my test too and this is correct.
C I think so sorry if I’m wrong
Answer:
The probability is 0.683
Step-by-step explanation:
To calculate this, we shall be needing to calculate the z-scores of both temperatures
mathematically;
z-score = (x-mean)/SD
From the question mean = 78 and SD = 5
For 73
z-score = (73-78)/5 = -5/5 = -1
For 83
z-score = (83-78)/5 = 5/5 = 1
So the probability we want to calculate is within the following range of z-scores;
P(-1 <z <1 )
Mathematically, this is same as ;
P(z<1) - P(z<-1)
Using the normal distribution table;
P(-1<z<1) = 0.68269 which is approximately 0.683
Answer:
The probability that neither is available when needed
Step-by-step explanation:
A town has 2 fire engines operating independently
Given data the probability that a specific engine is available when needed is 0.96.
Let A and B are the two events of two fire engines
given P(A and B) = 0.96 ( given two engines are independent events so you have to select A and B)
Independent events : P( A n B) = P(A) P(B)
The probability that neither is available when needed
