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klasskru [66]
3 years ago
13

At the city museum, child admission is $5.40 and adult admission is $8.70 . On Friday, 170 tickets were sold for a total sales o

f $1224.90 . How many adult tickets were sold that day?
Mathematics
1 answer:
Aleks [24]3 years ago
4 0
X=number of adult tickets
y=number of children tickets.
we can suggest this system of equations:

x+y=170
8.7x+5.4y=1224.90

We can solve this system of equations by substitution method:
x=170-y

8.7(170 - y)+5.4 y=1224.90
1479-8.7y+5.4y=1224.90
-3.3 y=1224.90-1479
-3.3 y=-254.1
y=(-254.1) /(-3.3)
y=77

x=170-y
x=170-77
x=93

Answer:93 adult tickts were sold that day.
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3 years ago
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
3 years ago
©<br>Find the area of a circle with radius, r = 6.53m.<br>Give your answer rounded to 2 DP.​
natita [175]

Answer:

133.96 meters squared

Step-by-step explanation:

To calculate the area of a circle, simply multiply the radius squared, by pi.

A = pi x r^2

A = pi x 6.53^2

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The area of the circle is approximately 133.96 meters squared.

Hope this helps! :)

7 0
3 years ago
Read 2 more answers
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