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max2010maxim [7]
3 years ago
10

A calculus student takes a 20-question, multiple choice test with 5 answer choices for each question. find the mean and standard

deviation of the number of questions that he/she gets correct
Mathematics
1 answer:
mario62 [17]3 years ago
4 0
Suppose the student guesses the answers, we shall consider this a binomial probability problem of success. This implies that getting a question right is p=1/5.
The number of questions is n=20 questions.
The mean of binomial distribution is 
mean=n*p= 20*1/5=4

b] The standard deviation of a binomial distribution is given by:
σ=√(n*p*(1-p))
=√(20*0.2*0.8)
=1.79~1.8

Answer:
μ=4 ; σ=1.8
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A rectangle has a width of 46 centimeters and a perimeter of 204 centimeters. What is the rectangle’s length?
Vanyuwa [196]

Answer:

Length = 56

Step-by-step explanation:

Perimeter = Length + Length + Width + Width

Perimeter = 2L + 2W

2L + 2W = 204

2L + 2(46) = 204

2L + 92 = 204

Subtract 92 from both sides

2L = 112

Divide both sides by 2

L = 56

Length = 56

7 0
3 years ago
An investigator wants to assess whether the mean m = the weight of passengers flying on small planes exceeds the FAA guideline o
stira [4]

Answer:

H_{0}: \mu= 185 and H_{a}: \mu > 185

Step-by-step explanation:

The null hypothesis H_{0} states that a population parameter (such as the mean, the standard deviation, and so on) is equal to a hypothesized value. We can write the null hypothesis in the form H_{0}: parameter = value

In this context, the investigator's null hypothesis should be that the average total weight is no different than the reported value by the FAA. We can write it in this form H_{0}: \mu= 185.

The alternative hypothesis H_{a} states that a population parameter is smaller, greater, or different than the hypothesized value in the null hypothesis. We can write the alternative hypothesis in one of three forms

H_{a}: parameter > value\\H_{a}: parameter < value\\H_{a}: parameter \neq value

The investigator wants to know if the average weight of passengers flying on small planes exceeds the FAA guideline of the average total weight of 185 pounds. He should use H_{a}: \mu > 185 as his alternative hypothesis.

7 0
3 years ago
s = 6t² + 3t + 7, 0 ≤ t ≤ 2 Find the body's displacement and average velocity for the given time interval.
Lapatulllka [165]

Answer:

I hope I help you

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4 0
2 years ago
Question 3 Unsaved
sashaice [31]
87.4 people per square mile
3 0
2 years ago
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Solve the system: x' = (2 4 -1 6)x
sertanlavr [38]

Answer:

x=e^{8t}+c

Step-by-step explanation:

we have given x'=(24-16)x=8x

x' denotes the differenation

\frac{dx}{dt}=8x  differentiation is performed with respect to t

by variable separable method we can write  

\frac{dx}{x}=8dt

on integrating both side

lnx=8t+c

x=e^{8t}+c (property of log )

so the solution for x will be x=e^{8t}+c

6 0
3 years ago
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