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hichkok12 [17]
2 years ago
3

Flight 4581 travels daily from Pittsburgh to San Antonio. The flight is due into San Antonio at 5:07 p.m. The following list giv

es the Flight 4581 arrival time relative to 5:07 p.m. (in minutes) for a selection of 9 days. (A negative number means that the flight arrived early.) 21, 39, 37, 25, 6,-6, -4, 40, 37 Send data to Excel
(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. an integer, round your answer to one decimal place.
zero modes
(b) How man ndicate the number of mo vasluers) of the mode modes does the data set have, and what are eir values?
Mathematics
1 answer:
Whitepunk [10]2 years ago
8 0

Question:

Flight 4581 travels daily from Pittsburgh to San Antonio. The flight is due into San Antonio at 5:07 p.m. The following list gives the Flight 4581 arrival time relative to 5:07 p.m. (in minutes) for a selection of 9 days. (A negative number means that the flight arrived early.) 21, 39, 37, 25, 6,-6, -4, 40, 37 Send data to Excel

(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. an integer, round your answer to one decimal place.

b) How many modes does the data set have? and what are their values

Answer:

a) 21.2

b) Value of mode = 37

It contains just one mode

Step-by-step explanation:

Given:

x = 21, 39, 37, 25, 6,-6, -4, 40, 37

n = 9

a) Find the mean

Mean is the average value of a dataset.

Mean = Σx/n

Mean = \frac{21+39+37+25+6+(-6)+(-4)+40+37}{n}

= \frac{195}{9}

= 21.667

The question says one decimal place.

Therefore, mean = 21.7

b) The mode of a dataset is the value that appears most frequently.

We have the following datasets:

21, 39, 37, 25, 6,-6, -4, 40, 37

The value that appears most frequently here is 37.

37 appeared twice while the rest appeared just once.

Therefore the dataset contains just one mode

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<u>Solution- </u>

A researcher placed a petri dish with 32,000 bacterial cells. One hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. Another hour later, the number of cells had again halved.

This can be represented as exponential decreasing function,

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Where,

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Putting the values,

\Rightarrow y=32000(1 - 0.5)^x

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y-intercept means, where x=0, so

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The coordinate of this poin will be (0, 32000)

This means when x=0 or at the starting of the research, the number of bacteria cells was 32000.

After 3 hours, number of bacteria cells will be,

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2 years ago
Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two dis
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Two distinct roots means two real solutions for x (the parabola needs to cross the x-axis twice)

Vertex form of a quadratic equation: (h,k) is vertex

y = a(x-h)^2 + k

The x of the vertex needs to equal 3

y = a(x-3)^2 + k

In order to have two distinct roots the parabola must be (+a) upward facing with vertex below the x-axis or (-a) downward facing with vertex above the x-axis. Parabolas are symmetrical so for an easy factorable equation make "a" 1 or -1 depending on if you want the upward/downward facing one.

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2 years ago
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Red, green, and white jellybeans are combined in a ratio of 5:4:3, respectively. What is the ratio of green jelly beans to the t
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We have been given that red, green, and white jellybeans are combined in a ratio of 5:4:3 respectively. We are asked to find out the ratio of green jelly beans to the total number of jelly beans.

In order to find out  the ratio of green jelly beans to the total number of jelly beans we have to find out the total number of jelly beans.

\text{Total number of jelly beans}=5+4+3=12

Now we can find out out our desirable ratio by substituting our finding in the ratio.

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2 years ago
Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of
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Answer:

4 servings

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Yogurt in the container = 1 5/8 pounds

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= 13/3

= 4.33

To the nearest whole serving

= 4 servings

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