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3 years ago

Kelsey scored the following points in her first six basketball games:

1 answer:

6 0

1) mode > median > mean

Mean is the average of all data.
22 + 14 + 19 + 22 + 8 + 17 = 102 ÷ 6 = 17
Median is the middle value of the data arranged from lowest to highest:
8, 14, 17, 19, 22, 22 => 17 + 19 = 36 ÷ 2 = 18
Mode is the number that is repeated more often than any other number.
8, 14, 17, 19, 22, 22 => 22

22 > 18 > 17 ==>>> mode > media > mean

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5000 CL equals how many Liters

sp2606 [1]

5000 Cl equals 50 Liters

5 0

3 years ago

Consider the following. y = x2 y = 20 − x Maple Generated Plot (a) Find the area of the region by integrating with respect to x.

Hunter-Best [27]

Answer:

area = 121.5

Step-by-step explanation:

See below for a plot and the integral. We assume you are interested in the entire bounded region.

$\displaystyle\text{area}=\int_{-5}^4{(20-x-x^2)}\,dx=\left.20x-\dfrac{x^2}{2}-\dfrac{x^3}{3}\right|_{-5}^4\\\\=20(4-(-5))-\dfrac{4^2-(-5)^2}{2}-\dfrac{4^3-(-5)^3}{3}\\\\=180+\dfrac{9}{2}-63=121.5$

7 0

3 years ago

An intelligence test that has a maximum completion time of 45 minutes was recently administered to a group of 9 people. Their re

Ede4ka [16]

Answer:

a) $\bar X=39.9$

b) Median =40

c) Bimodal distribution 40,45 with a frequency of 2 for each one

Step-by-step explanation:

Part a

The statistical mean refers "to the mean or average that is used to derive the central tendency of the data in question. It is determined by adding all the data points in a population and then dividing the total by the number of points". And is defined:

$\bar X =\frac{\sum_{i=1}^n x_i}{n}$

And for this case if we apply this formula we got:

$\bar X =\frac{45+40+42+39+44+40+45+33+21}{9}=39.9$

Part b

The median is a "measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. And we have two possible cases:

1) If there is an odd number of observations, the median is the middle value. 2) If there is an even number of observations, the median is the average of the two middle values."

So if we order the dataset we got:

31,33,39,40,40,42,44,45,45

Since we have an odd number of observation n=9, the median would be just the middle value on position 5 and for this case Median =40

Part c

The mode of a set of data values is the value that appears most often. As a set of data can have more than one mode, the mode does not necessarily indicate the centre of a data set.

For this case we have a bimodal distribution and the corresponding values are 40 and 45 with a frequency of 2 for each one.

8 0

3 years ago

Tickets to a Broadway show cost $35 for adults and $10 for children. The total receipts for 1650 tickets at one performance were

Dvinal [7]

Answer:1010 adult tickets and 640 child tickets were sold

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of child tickets that were sold.

The total number of tickets sold was 1650. This means that

x + y = 1650

Tickets to a Broadway show cost $35 for adults and $10 for children. The total receipts for 1650 tickets at one performance were $41,750. This means that

35x + 10y = 41750 - - - - - - - - - -1

Substituting x = 1650 - y into equation 1, it becomes

35(1650 - y) + 10y = 41750

57750 - 35y + 10y = 41750

- 35y + 10y = 41750 - 57750

- 25y = - 16000

y = - 16000/-25

y = 640

x = 1650 - y = 1650 - 640

x = 1010

4 0

4 years ago

the length of a pond is 1700 CM breadth is 14m and height is 1000 CM if a point is half filled calculate the volume of a water i

Andre45 [30]

Answer:

1190 m^3

Step-by-step explanation:

l = 1700 cm = 17 m

b = 14 m

h = 1000 cm = 10 m

Total volume = l × b × h

= 17 × 14× 10

= 2380 m^3

since it is half filled ,

Volume is half , so,

volume of water in pond = 2380 ÷ 2

= 1190 m^3

4 0

3 years ago