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mr Goodwill [35]
3 years ago
11

The table gives sales data for a stationery store in any given two weeks. It lists the probability of the number of items purcha

sed in a single transaction and the average amount spent per transaction. Items Purchased in a Single Transaction Probability Average Amount Spent 2 0.35 $12 3 0.17 $20 4 0.33 $28 5 or more 0.15 $36 Based on the data provided, transactions with items are likely to bring in the most income during the next two-week transaction period.
Mathematics
1 answer:
netineya [11]3 years ago
7 0
From the given data:

Number of items | Probability of being purchased | Average amount spent
--------------------------------------------------------------------------------------------------
            2              |                     0.35                      |            $12
            3              <span>|                     0.17                      |            $20
</span>            4              <span>|                     0.33                      |            $28
</span>       5 or more      <span>|                     0.15                      |            $36
</span>
In a sample space of 100 items being purchased, in a day:

For 2 items: 35 (12) = 420
For 3 items: 17<span> (20) = 340
</span>For 4 items: <span>33 (28) = 924
</span>For 5 or more items: 15<span> (36) = 540
</span>
If this sample trend would go on the for the next two weeks, then the transaction with 4 items would most likely bring in the most income during the said transaction period.
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The following are the last 10 run scores Colin got in cricket: 21, 30, 10, 4, 19, 31, 5, 7, 17, 4 a) Work out Colin's mean score
Fed [463]

Answer:

a) 21+30+10+4+19+31+7+17+4=148

148 divided by 10= 14.8

b) 148+17=165

165 divided by 11= 15

Step-by-step explanation:

In math, the mean is the average of a set of numbers. To find the mean of a data set, add up all of the numbers in the set, and then divide that total by the amount of numbers in the set.

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4 years ago
What is the angle of rotation of the image?<br> A. 60°<br> B. 90<br> C. 120<br> D. 180
vlada-n [284]

Answer:

C.

Step-by-step explanation:

360/3 = 120

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3 years ago
A garage is drawn using a scale of 2 2/3 inch =6feet if the actual height is 68 ft what is the height of the garage
butalik [34]

Answer:

Step-by-step explanation:

The drawing of the garage is a smaller representation of the actual garage. A garage is drawn using a scale of 2 2/3 inch = 6feet. Let us first convert 2 2/3 inch to improper fraction. It becomes 8/3 inch.

Let us determine the unit measurement.

If 6feet = 8/3 inch,

1 foot will be 8/3 ÷ 6 = 8/3×1/6

= 8/18 inches. Therefore

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The green triangle is a dilation of the red triangle with a scale factor of s=13 and the center of dilation is at the point (4,2
Arada [10]

Given:

Scale factor s=\dfrac{1}{3}

Center of dilation = (4,2)

To find:

The coordinates of the points C' and A.

Solution:

We know that, if a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

(x,y)\to (k(x-a)+a,k(y-b)+b)

The scale factor is \dfrac{1}{3} and the center of dilation is at (4,2).

(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)            ...(i)

Suppose the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using rule (i), we get

C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)

C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)

C(-2,11)\to C'(-2+4,3+2)

C(-2,11)\to C'(2,5)

Hence, the coordinates of Point C' are C'(2,5).

Let us assume that point A is A(m,n).

Using rule (i), we get

A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)

From the given figure it is clear that the image of point A is (8,4).

A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)

On comparing both sides, we get

\dfrac{1}{3}(m-4)+4=8

\dfrac{1}{3}(m-4)=8-4

(m-4)=3(4)

m=12+4

m=16

And,

\dfrac{1}{3}(n-2)+2=4

\dfrac{1}{3}(n-2)=4-2

(n-2)=3(2)

n=6+2

n=8

Therefore, the coordinates of point A are (16,8).

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