Answer:
Gets smaller
Step-by-step explanation:
- The standard deviation is the quantification of spread of data. According to descriptive statistics the standard deviation s is given by:
s = Σ ( x - u ) / sqrt ( n )
Where, n : sample size
u : Mean value
- So we see that standard deviation (s) is inversely proportional to square root of sample size (n).
- We can see that as sample size (n) increases the standard deviation (s) decreases.
<h3>There are two answers: Choice C, Choice D</h3>
Explanation:
For any acute triangle, the center of the circle is always inside the triangle.
For any right triangle, the center of the circle is the midpoint of the hypotenuse. The hypotenuse is the diameter of the circle.
For any obtuse triangle, the center of the circle is outside the triangle.
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Let's look at the answer choices more closely
A. False. This is only true if we have a right triangle as mentioned earlier.
B. False. This describes an inscribed circle.
C. True. As stated earlier.
D. True. This is based on how the circumscribed triangle is defined. It is set up to be the circle that goes through all three vertex points of a triangle. In other words, it is the smallest circle to completely enclose the given triangle.
Answer:
a = 36°
b = 144°
Step-by-step explanation:
<h3><u>Method 1</u></h3>
Number of sides = n = 10
Sum of interior angles = (n - 2) × 180°
= (10 - 2) × 180°
= 8 × 180°
= 1440°
Interior angle = b = sum of interior angles ÷ number of sides
b = 1440 ÷ 10
b = 144°
a + b = 180° (Sum of angles in the straight line)
a + 144° = 180°
a + 144° - 144° = 180° - 144°
a = 36°
<h3><u>Method 2</u></h3>
Number of sides = 10
Exterior angle = a = 360° ÷ Number of sides
a = 360° ÷ 10
a = 36°
a + b = 180° (Sum of angles in the straight line)
36° + b = 180°
36° + b - 36° = 180° - 36°
b = 144°
Correct Question:
John works as a tutor for $12 an hour and as a waiter for $8 an hour. This month, he worked a combined total of 86 hours at his two jobs.
Let be the number of hours John worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Answer:
Total hours = 86
Let t is the hours he spent on tutoring
then (86-t) is hours spent on waiting
Let Y is the total amount in dollars which is required .
Now;
y = (tutoring hours x 12$) + (waiting hours x 8$)
Y = 12t + 8(86-t)
18- 9 choices with pancakes and 9 choices with waffles
