A dance studio is offering a ballroom dancing class. In order for the class to be held, a minimum of 20 people must sign up to t
ake the class. The studio ballroom can accommodate up to 60 people at a time. Which inequality graph models the number of individuals that can be in the class?
1 answer:
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Answer:
Step-by-step explanation:
Given that,
The radius of the cone, r = 8 cm
The height of the cone, h = 16 cm
We need to find the volume of the cone. The formula for the volume of the cone is given by :
So, the volume of the cone is equal to .
Answer:
915 in²
Step-by-step explanation:
The area of the rectangle :
Length = 32 inches
Width = 25 - (10+10) = 25 - 20 = 5 inches
Area of rectangle = Length * width
Area = 32 * 5 = 160 in²
Area of triangle :
Base = 25 inches
Height = (46 - 32) inches = 14 inches
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 25 * 14 = 175 in²
Total area = (160 + 175)in² = 335 in²
Total area of cardboard :
50 inches * 25 inches = 1250 in²
Amount of cardboard not used :
(1250 - 335) in² = 915 in²
Answer:
(a) The 29th percentile for the number of chocolate chips in a bag is 1198.65.
(b) The number of chocolate chips in a bag that make up the middle 95% of bags are [1146, 1380].
(c) The inter-quartile range of the number of chocolate chips in a bag of chocolate chip cookies is 157.83.
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of chocolate chips in a bag of chocolate chip cookies.
The random variable <em>X</em> is normally distributed with mean, <em>μ </em>= 1263 and a standard deviation, <em>σ </em>= 117.
(a)
Compute the 29th percentile for the number of chocolate chips in a bag as follows:
P (X < x) = 0.29
⇒ P (Z < z) = 0.29
The value of <em>z</em> for the above probability is, <em>z</em> = -0.55.
Compute the value of <em>x</em> as follows:
Thus, the 29th percentile for the number of chocolate chips in a bag is 1198.65.
(b)
According to the Empirical rule 95% of the normally distributed data lies within 2 standard deviations of the mean.
P (μ - σ < X < μ + σ) = 0.95
P (1263 - 117 < X < 1263 + 117) = 0.95
P (1146 < X < 1380) = 0.95
Thus, the number of chocolate chips in a bag that make up the middle 95% of bags are [1146, 1380].
(c)
The inter-quartile range of the normal distribution is:
IQR = 1.349 <em>σ</em>
Compute the inter-quartile range of the number of chocolate chips in a bag of chocolate chip cookies as follows:
IQR = 1.349 <em>σ</em>
= 1.349 × 117
= 157.833
Thus, the inter-quartile range of the number of chocolate chips in a bag of chocolate chip cookies is 157.83.