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dusya [7]
2 years ago
13

Nic has $9 to spend on cards. She finds friends with the same amount of money to split the cost of a set. One set costs $27. Eac

h friend gets the same number of cards. How many cards does each friend get?
Mathematics
1 answer:
Yakvenalex [24]2 years ago
3 0

Each friend gets \frac{x}{3} cards

<em><u>Solution:</u></em>

Let the number of cards in $ 27 set be "x"

Given that Nicole has $9 to spend on cards

Amount with Nicole to spend on cards = $ 9

One set costs $27

Therefore, cost of 1 set = $ 27

Each friend gets the same number of cards

She finds friends with the same amount of money to split the cost of a set

Therefore, to get total cost of 1 set which is $ 27 , we can say

$ 9 + $ 9 + $ 9 = $ 27

So 2 friends pay each $ 9 and nicole pays $ 9

Now, Number of cards each friend gets is given by

\text{ number of cards } = \frac{\text{ total number of cards }}{\text{ 3 people}} = \frac{x}{3}

Thus each friend gets \frac{x}{3} cards

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the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati
luda_lava [24]

Answer:

The standard deviation of the data set is \sigma = 12.7906.

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}

we use the following formula

                                             \sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }

Step 1: Find the mean \left( \overline{X} \right).

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

                                     Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}

Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

\sum{\left(x_i - \overline{X}\right)^2} = 1472.4

Step 4: Calculate σ using the above formula.

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906

3 0
2 years ago
Three percent of Jennie’s skin cells were burned when she escaped from a fire. If 3.7×10’(of her skin cells were burned then, ho
lora16 [44]

Answer:

The quantity of Jennie's skin cell were not burned is 119.601 × 10^{10}  .

Step-by-step explanation:

Given as :

The percentage of Jennie's skin cell were burned = 3 %

The quantity of Jennie's skin cell were burned = 3.7 × 10^{10}

Let The quantity of Jennie's skin cell were not burned = x

Let Total quantity of whole skin cell = n

<u>Now, According to question</u>

The quantity of Jennie's skin cell were burned = Total quantity of whole skin cell × percentage of Jennie's skin cell were burned

i.e 3.7 × 10^{10} = n × 3 %

Or, 3.7 × 10^{10} = n × \dfrac{3}{100}

Or, n =  3.7 × 10^{10} × \dfrac{100}{3}

Or, n = \frac{3.7\times 10^{12}}{3}

i.e n = 1.233 × 10^{12}

Or, Total quantity of whole skin cell = n = 1.233 × 10^{12}

<u>Now, Again</u>

∵ percentage of Jennie's skin cell were burned = 3 %

So, percentage of Jennie's skin cell were not burned = 100 % - 3 % = 97 %

so , The quantity of Jennie's skin cell were not burned = 97 % of Total quantity of whole skin cell

Or, x = \frac{97}{100} × n

Or, x =  \frac{97}{100} × 1.233 × 10^{12}

∴ x = 119.601 × 10^{10}

So, The quantity of Jennie's skin cell were not burned = x = 119.601 × 10^{10}

Hence,  The quantity of Jennie's skin cell were not burned is 119.601 × 10^{10}  . Answer

6 0
2 years ago
Tape travels through a tape player at a speed 0.048 meters per seconds. How long is tape that can play for 30 minutes
Vadim26 [7]
OK So this is how u do this:- 

0.048*30=1.44

Hope I helped:D 



8 0
2 years ago
Which phrase describes only a square?
denis-greek [22]

Answer:

c is correct answer for you

5 0
2 years ago
The tires of a tractor are 4.5 feet tall. How many 360-degree rotations do the tires make when the tractor travels 170 feet? Rou
slavikrds [6]
Hello! 

Ok so we have a tire 4.5ft in diameter. We want to know how many revolutions it makes in 170ft

So we have s=r*theta where s is arc length or distance traveled and r is the radius and theta is the angle in radians that it travels through, and this is what we want to know. We are given the rest so we have;

170ft=4.5ft/2 * theta so solving for theta we get 

theta=340ft/4.5ft = 75.56 radians so now we just convert radians to revolutions and we know pi=3.14rad and 2pi is one rev and to convert to degrees its radians*( 360/2pi)=deg and this reduces to 180/pi so we have;


75.56radians * 180/pi = 4329 degrees travelled through so to get revolutions we now just divide this by 360deg for total revs. So we have;

4329deg/360deg=12 revolutions

Hope this helps! Any questions please ask! Thank you so much!
5 0
2 years ago
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