Answer:
The probability that a fish caught by a fisherman is between 0.25 feet and 2 feet long is 0.4375.
Step-by-step explanation:
The probability density function or p.d.f. for the length <em>x,</em> in feet, of some type of fish caught by sport fishermen is :
The probability that a fish caught by a fisherman is between 0.25 feet and 2 feet long is:
Thus, the probability that a fish caught by a fisherman is between 0.25 feet and 2 feet long is 0.4375.
Answer:
B. A(r(t)) = 25πt²
Step-by-step explanation:
Find the completed question below
The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.
Given
A(t) = πr²
r(t) = 5t
We are to evaluate the composite expression A(r(t))
A(r(t)) = A(5t)
To get A(5t), we will replace r in A(t) with 5t and simplify as shown
A(5t) = π(5t)²
A(5t) = π(25t²)
A(5t) = 25πt²
A(r(t)) = 25πt²
Hence the composite expression A(r(t)) is 25πt²
Option B is correct.
Syliva
T=72÷8=9 years
Manul
T=72÷7.25=9.9=10 years
Option A
<h2>
Answer with explanation:</h2>
As per given , we have
, n=331
Critical value for 90% Confidence interval : 
a) Confidence interval :
Hence, a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot a ord it : 
b) Margin of error : E=1.5%=0.015
Formula for sample size : 
For p =0.48 , we have
Hence, the required sample size to survey = 3002
If the original price tag of the video game is $128, to get its discounted price at 15%, that means what Leiff paid for was (100-15) = 85% of the original price.
So, the price of the video game then becomes
(0.85 x 128) = $108.80.
Since Leiff has to pay an additional 5.3% of the new price, that's (100 + 5.3) = 105.3% of the new price which is
(1.053 x 108.8) = $114.57
Adding the shipping fee for the videogame,
114.57 + 4.75 = $119.32
Thus, the total price is <span>$119.32</span>
