Answer:
A = 57.97 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = h (a + b)
where h is the perpendicular height and a, b the parallel bases
Here h = 6.2, a = 10.8 and b = 7.9, thus
A = × 6.2 × (10.8 + 7.9) = 3.1 × 18.7 = 57.97 cm²
Answer:
B. Yes, there are at least 10 people with weak bones and 10 people with strong bones in each group.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
The correct answer is:
B. Yes, there are at least 10 people with weak bones and 10 people with strong bones in each group.
ANSWER
The maximum y-value is 0.
EXPLANATION
The domain of the given absolute value function is (-∞, ∞) .
This means the function is defined for all real values of x.
The range of the function is (-∞, 0].
This can be rewritten as
This means that, the highest y-value on the gray of this absolute value function is 0.
Hence the maximum y-value of the function is 0.
The answer is:
Domain and range of trigonometric functions are already calculated, so let's discard one by one in order to find the correct answer.
The range is where the function can exist in the vertical axis when we assign values to the variable.
First:
: Incorrect, it does include 0.4 since the cosine range goes from -1 to 1 (-1 ≤ y ≤ 1)
Second:
: Incorrect, it also does include 0.4 since the cotangent range goes from is all the real numbers.
Third:
: Correct, the cosecant function is all the real numbers without the numbers included between -1 and 1 (y≤-1 or y≥1).
Fourth:
: Incorrect, the sine function range is equal to the cosine function range (-1 ≤ y ≤ 1).
I attached a pic of the csc function graphic where you can verify the answer!
Have a nice day!
