Answer: 149
Step-by-step explanation:
out of 80 students, 20 said that they prefers cats, then the relative frequency is:
p =20/80 = 0.25
then, out of the 597 students a estimate of:
N = 0.25*597 = 149.25 like cats
We should round it down so we have a whole number, then we have a estimate of 149 students.
<span>A market economy is an economic system where the prices of goods are and economic decisions are based on the collective interactions of the individual people in the economy and the businesses present. The goal of a market economy may be described as wanting to limit the government involvement in economic decisions.Hope this helps. Let me know if you need additional help!</span>
Answer:
53°
Step-by-step explanation:
Let m∠BCA = 'x'
Because it states that quadrilateral ABCD is a rectangle (sorry, forgot to say that in my image), that means that angles ∠ABC, ∠BCD, ∠CDA and ∠DAB are all right angles. That also means that all those angles are 90°.
Since ∠ACD is a portion of ∠BCD, (37° is a portion of 90°), and we're looking for the complement of ∠ACD, all we have to do is subtract 37° from 90°.
90 - 37 = 53
Hence, the answer is 53°
The correct answer is D.
This is because a converse statement switches the places of the hypothesis and conclusion.
Answer:
81π
Step-by-step explanation:
-The sum of central angles in a circle add up to 360°.
-Let x be the area of the circle.
-Given the area of a 120° is 27π, the circles area can be calculated as:

Hence, the area of the circle is 81π