At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 m
1 answer:
Answer:
95% of the customers have to wait between 10 minutes and 26 minutes
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 18 minutes
Standard Deviation, σ = 4 minute
We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.
Empirical Formula:
- Almost all the data lies within three standard deviation from the mean for a normally distributed data.
- About 68% of data lies within one standard deviation from the mean.
- About 95% of data lies within two standard deviations of the mean.
- About 99.7% of data lies within three standard deviation of the mean.
Now, we can write:
Thus, by empirical formula, 95% of the data lies within two standard deviations of the mean.
Thus, 95% of the customers have to wait between 10 minutes and 26 minutes
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Answer:
<h2>The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.</h2>Step-by-step explanation:
According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.
To find the equation, we just need to find the slope, using two points (0,0) and (2,40).
Therefore, the equation is , which shows a direct proportion between variables.
Now, in 24 hours, it would travel
It would travel 480 miles.
Therefore, the right answer is the second choice.
Answer:
Which statements about the relationship between the two triangles below are true
- Angle C is congruent to angle S (true)
- Angle D is congruent to angle T (true)
- Triangle D C A is similar to triangle T S R (true)
The rest are false.
Complete question;
Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D is 60 degrees and angle A is 74.9 degrees. Triangle R S T. Angle R is 74.9 degrees and angle S is 45.1 degrees.
- Angle C is congruent to angle T
- Angle C is congruent to angle S
- Angle D is congruent to angle T
- Triangle D C A is congruent to triangle T S R
- Triangle D C A is similar to triangle T S R
- Triangle C A D is similar to triangle T R S
- Triangle C A D is congruent to triangle T R S
Step-by-step explanation:
See attached image for more information;
Angle C = 180 - (60+74.9) = 45.1°
Angle T = 180 - (74.9+45.1) = 60°
Therefore;
Angle C = Angle S = 45.1°
Angle D = Angle T = 60°
And
Triangle D C A is similar to triangle T S R
(Note the order of the letters)
The two triangles are not congruent because the length of their sides are not the same.
