Option D. 96 is the correct answer.
Explanation:
Let the higher grade be = x
Let the lower grade be = y
As given, The difference of the two grades is 16
or
.... (1)
The sum of one-eighth of the higher grade and one-half of the lower grade is 52.
... (2)
Putting the value of x=16+y in equation (2)






As x=16+y
x=16+80 = 96
Hence, higher grade is 96.
Short answer = false
Remark
If it is a right triangle, it will obey the Pythagorean Equation. a^2 + b^2 = c^2. Let's see if it does.
Equation
a^2 + b^2= c^2
c must be the longest line. (Hypotenuse)
Givens
a = 24
b = 17
c = 40
Sub and Solve
a^2 + b^2 = c^2
17^2 + 24^2 = c^2 [We'll see if this comes out to 40]
289 + 576 = c^2
865 = c^2 which is no where near what 40^2 equals. 40^2 = 1600
Short answer False
Square root of 865 = (865)^1/2 = 29.4
Answer:
P(X=3) = 0.2013
Step-by-step explanation:
After taking and tagging the first 20 birds, then we have a proportion of 20% of tagged birds within the population, that is


Supposing that the probability (0.20) of capturing a bird <em>remains constant</em>, we may resolve it as it follows:
Capturing 10 birds can be considered as a binomial experiment with a success probability p = 0.2
Let,
be the expression of the binomial distribution, for our case we have:
p=0.2
x = 3
n=10
Then,


Therefore, the probability that exactly 3 of the 10 birds in the new sample were previously tagged is 20.13%
<span>Step 1: Identify the variables.
Step 2: Add/Subtract whole numbers so they're all on one side.
Step 3: Add/Subtract Variables so they're all on one side.
Step 4: Multiply /Divide to get the variable by itself.
<span>Step 5: Check your work.</span></span>