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sergey [27]
3 years ago
11

We are setting up virtual shopping tasks on an online survey. In each shopping task, we can only show up to 20 products on the s

creen. There are 80 products in total that we want to test. How many shopping tasks do we need to show so that on average, each product is shown 3 times throughout all the shopping tasks? Assume all products are selected randomly and have an equal chance of being selected.
Mathematics
1 answer:
aleksley [76]3 years ago
7 0

Answer:

Step-by-step explanation:80divide by 20=4

4multiply by 3=12

Answere=12

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Haley's car gets at least 18 miles per gallon. She is planning a trip that is 200 miles.
maxonik [38]

Answer:

11\ gallons

Step-by-step explanation:

we know that

Haley's car gets at least 18 miles per gallon

so

by proportion

Find the minimum number of gallons she'll need for a trip that is 200 miles

\frac{1}{18}\frac{gallon}{miles} =\frac{x}{200}\frac{gallon}{miles}\\ \\x=200/18\\ \\x= 11.11\ gallons

7 0
3 years ago
Read 2 more answers
A formal garden at the Biltmore Estate has a large, circular fish pool with a 72-foot radius. What is the distance around the ou
QveST [7]

Answer:

  452.4 ft

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = 2πr . . . where r is the radius

Filling in the given number, we find the circumference to be ...

  C = 2π(72 ft) = 144π ft ≈ 452.4 ft

The distance around the outside edge is about 452.4 feet.

4 0
3 years ago
Two trains travel a 160 km track each day. The express travels 10 km h^-1 faster and take 30 minutes less time than the normal t
aniked [119]
Let s = the speed of the slower train in km/hrs+10 = the speed of the faster train in km/hrLet t = time in hrs for the slower train to go 160 kmt-5 = time in hrs for faster train to go 160 km---------------Slower train:(1)
160=s.t

Faster train:(2) 160=(s+10) .(t-.5)From (1)(1) t=160/s
use the relations given in following screenshot and then use quadratic equation.

4 0
4 years ago
One sample of n = 10 scores has a mean of M = 8, and a second sample of n = 5 scores has a mean of M = 2. If the two samples are
schepotkina [342]

Answer:

The mean for the combined sample = 6.

Step-by-step explanation:

We have been given that one sample of n = 10 scores has a mean of M = 8.

So the sum of 10 scores for 1st sample will be: 10\times 8=80

We are also told that second sample of n = 5 scores has a mean of M = 2.

So the sum of 5 scores for 2nd sample will be: 5\times 2=10

When the both samples are combined, so total points will be: 80+10=90 and total scores will be 10+5=15.

\text {Mean for the combined sample}=\frac{\text{Total points of both data sets}}{\text{Total scores of both data sets}}

\text {Mean for the combined sample}=\frac{90}{15}

\text {Mean for the combined sample}=6

Therefore, the mean for the combined sample will be 6.


6 0
3 years ago
On the first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $6
denis-greek [22]

<u>ANSWER:</u>

The price of senior citizen ticket is $4 and price of child ticket is $7.

<u>SOLUTION: </u>

Given, first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75.  

The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets.  

We need to find what is the price each of one senior citizen tickets and one child tickets.

Let, the price of senior citizen ticket be "x" and price of child ticket be "y"

Then according to the given information,

3x + 9y = 75

x + 3y = 25  [by cancelling the common term 3.

x = 25 – 3y ---- (1)

And, 8x + 5y = 67 ---- (2)

Substitute (1) in (2)

8(25 – 3y) + 5y = 67

200 – 24y + 5y = 67

5y – 24y = 67 – 200

-19y = -133

y = \frac{133}{19}

y = 7

Now substitute y value in (1)

x = 25 – 3(7)

x = 25 – 21  = 4

Hence, the price of senior citizen ticket is $4 and price of child ticket is $7.

4 0
3 years ago
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