Homework: Compound Probability (With Replacement)

erica [24]

Complete question :

The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Which box plot correctly summarizes the data?

Answer:

B

Step-by-step explanation:

BOX plots provide information about :

Minimum, Lower quartile, Median, Upper quartile and maximum value of a dataset.

Given the dataset :

24, 25, 29, 30, 31, 31, 32, 34, 34

Minimum value = 24 (Lowest value in the dataset)

First quartile (Q1) = 1/4(n+1)th term

Q1 = 1/4 * 10 = 10/4 = 2.5th term = (25+29)/2 = 27

Second quartile ; median (Q2) = 1/2(n+1)th term

Q2 = 1/2(n+1)th term = 1/2(10) = 5th = 31

Third quartile (Q3) = 3/4(n+1)th term

Q3 = 3/4(n+1)th term = 3/4(10) = 30/4 = 7.5th term = (7th +8th) term = (32 + 34) / 2 = 66/2 = 33

Maximum value = 34 (Highest value in the dataset)

First dot = minimum value

Last dot = maximum value

First line of box = QI

mid line = median

End line of box = Q3

4 0

2 years ago

Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op

Anika [276]

Answer:

The probability that the maximum speed is at most 49 km/h is 0.8340.

Step-by-step explanation:

Let the random variable X be defined as the maximum speed of a moped.

The random variable X is Normally distributed with mean, μ = 46.8 km/h and standard deviation, σ = 1.75 km/h.

To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or z-score.

The formula to convert X into z-score is:

$z=\frac{X-\mu}{\sigma}$

Compute the probability that the maximum speed is at most 49 km/h as follows:

Apply continuity correction:

P (X ≤ 49) = P (X < 49 - 0.50)

= P (X < 48.50)

$=P(\frac{X-\mu}{\sigma}$

*Use a z-table for the probability.

Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.

8 0

3 years ago

What is the equation of the graphed line written in standard form?

Dvinal [7]

The answer should be A

3 0

3 years ago

How does the graph of a inverse function

ale4655 [162]

Answer:

B

Step-by-step explanation:

y=x you can imagine by drawing graph

8 0

3 years ago

What is the minimum number of pieces of information you think you would need in order to prove that a given quadrilateral is a s

pashok25 [27]

Answer:

At least 4 numbers of information is needed

The four are highlighted below in the explanation section

Step-by-step explanation:

1. Given that the shape has four right angles and that all its sides are congruent then it's a quadrilateral

2. If two sides are consecutively congruent it is a quadrilateral shape

3. If a rhombus contains a right angle, then it’s a square shaped rhombus

4. If a quadrilateral is both a rectangle and a rhombus, then it’s a square

3 0

3 years ago