The best option is C. 0.0823mean = np = 48*1/4 = 12
SD = sqrt(npq) = sqrt(48 *1/4 *3/4) = 3
aplying continuity correction for using a continuous distribution for a discrete one,
"exactly 15" means 14.5 to 15.5
z1= (14.5-12)/3 = 0.833 , z2 = (15.5-12)/3 = 1.167
P(0.833 < z < 1.167) = 0.0808
The measure of the seventh <em>interior</em> angle of the heptagon is 124°. (Correct choice: C)
<h3>What is the measure of the missing interior angle in a heptagon?</h3>
Heptagons are polygons with seven sides, seven vertices, seven <em>interior</em> angles and seven <em>central</em> angles. Herein we know the value of the sum of six interior angles and we need to know the measure of the seventh <em>interior</em> angle. We can determine the measure of the seven interior angles by using the following expression:
θ = (n - 2) · 180°, where n is the number of sides of the polygon. (1)
If we know that n = 7, then sum of the internal angles in the heptagon is:
θ = (7 - 2) · 180°
θ = 900°
And the measure of the final interior angle is found by subtraction:
θ₇ = 900° - 776°
θ₇ = 124°
The measure of the seventh <em>interior</em> angle of the heptagon is 124°. (Correct choice: C)
To learn more on polygons: brainly.com/question/17756657
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Answer:
132 people bought balcony seats and 450 people bought ground seats.
Step-by-step explanation:
We want to solve the system of equations:
We can solve this by using substitution. From the second equation, we can subtract <em>b</em> from both sides:
In the first equation, we can divide both sides by five:
Substitute:
Distribute:
Simplify:
Solve for <em>b: </em>
<em />
<em />
<em />
Using the modified equation again, substitute:
Evaluate:
Therefore, 132 people bought balcony seats and 450 people bought ground seats.
Answer:
Ellen have left 56 glasses to wash.
Step-by-step explanation:
Given that:
Number of glasses to be washed = 175
Percentage of glasses Ellen washed = 68%
Number of glasses Ellen washed = 
Number of glasses Ellen washed = 119
Number of glasses left = Total glasses - Number of glasses washed
Number of glasses left = 175 - 119 = 56
Hence,
Ellen have left 56 glasses to wash.
