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katrin [286]
3 years ago
7

Your teacher pulls you aside after class and tells you that during the year, you spent 65 minutes total out of class going to th

e restroom. You
know that every time you would walk out of class, you would come back in 5 minutes. How many times total did you use the restroom pass this
year?
What equation answers this question?
Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

Answer:

a. You used the restroom 13 times this year.

b. The equation is 65 minutes divided by 5 minutes = 13 times you left class.

Step-by-step explanation:

If you used the bathroom for 65 minutes, and each visit was 5 minutes, you divide 65 / 5 to get 13.

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The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.
Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}

The probability for exponential distribution is given as:

P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}

a) P( time between the next two calls will be 54 seconds or​ less)

P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

b) P(time between the next two calls will be greater than 118.5 ​seconds)

p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

6 0
3 years ago
What is (2,3) and (4,5) in slope intercept form
scoundrel [369]

Answer:

\frac{5-3}{4-2}=\frac{2}{2}=2

slope = 2

Step-by-step explanation:

6 0
3 years ago
A study of the career paths of hotel general managers sent questionnaires to an SRS of 280 hotels belonging to major U.S. hotel
const2013 [10]

Answer and Step-by-step explanation:

we have the following data:

Point estimate = sample mean = \ bar x = 12.39

Population standard deviation = \ sigma = 3.7

Sample size = n = 177

a) the margin of error with a 90% confidence interval

α = 1 - 90%

alpha = 1 - 0.90 = 0.10

alpha / 2 = 0.05

Z \ alpha / 2 = Z0.05 = 1,645

Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)

we replace:

E = 1.645 * (3.7 / \ sqrt177)

Outcome:

E = 0.46

b) margin of error with a 99% confidence interval

α = 1-99%

alpha = 1 - 0.99 = 0.01

alpha / 2 = 0.005

Z \ alpha / 2 = Z0.005 = 2,576

Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)

we replace:

E = 2,576 * (3.7 / \ sqrt177)

Outcome:

E = 0.72

c) A larger confidence interval value will increase the margin of error.

6 0
2 years ago
Ruby bought 2 chicken wings for $4. What was the cost of the wings in dollars per wing ?
AnnZ [28]

Answer:

$8

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Which statement is true?
Veronika [31]

Answer:

B. Only 140 is an outlier

Step-by-step explanation:

To properly identify an outlier, you must first know what it is. An outlier is a number that is either a lot higher or a lot lower than the average in a set of numbers. For example, if you had a number set of 1, 3, 4, 6, and 72, you can deduce that 72 is the outlier because it's very far away compared to the other numbers in the set.

In the set that's provided, the numbers tend to range in the double digits, going up in small increments from 15 to 89. However, we can see that 140 is a lot higher than the rest of the numbers in the set, so we can assume that 140 is an outlier.

7 0
3 years ago
Read 2 more answers
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