Answer:If y = 7 what is the value of x would be 7
Step-by-step explanation:
Our data looks like:
3,3,4,4,5,5,5,6,7,8
The median, true to its name is the middle number of the set of data.
The median in this case in in between 5 and 5. Average it out (5+5)/2 = 5.
Your answer should be 5. Hope this helps!
Answer: 90% decrease
Step-by-step explanation: First determine whether the number is increasing or decreasing. Since it changes from 2,000 to 200, it's going down so it's decreasing.
Now to find the percent decrease, we divide the
amount of change by the original number.
The <em>amount of change</em> is the difference between the two numbers
which in this case is 2,000 - 200 and the original number is 2,000.
.
2,000 - 200 is 1,800.
So we're left with 1,800/2,000 and dividing
2,000 into 1,800 gives us 0.9.
Remember however that our problem is
asking for a <em>percent</em>, not a decimal.
So we need to write 0.9 as a percent and we can do
that by multiplying it by 100 and adding the percent sign.
So 0.9 becomes 90%.
So when a number changes from 2,000 to 200,
it has decreased by 90%.
Answer:
71.3°
Step-by-step explanation:
A building 62 feet tall casts a shadow 21 meters long . At what angle is the sun shining on the building?
We solve this question using the Trigonometric function of Tangent
tan x = Opposite/Adjacent
Where
Opposite = 62ft
Adjacent = 21 ft
x = Angle
Hence,
tan x = 62/21
x = arc tan (62/21)
x = 71.288262125°
Approximately = 71.3°
The matrix equation that can be solved to find all the respective costs is;
![\left[\begin{array}{ccc}2&3&50\\4&6&100\\2&5&80\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}51\\90\\78\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%2650%5C%5C4%266%26100%5C%5C2%265%2680%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D51%5C%5C90%5C%5C78%5Cend%7Barray%7D%5Cright%5D)
<h3>How to create matrix equations?</h3>
Let cost of admission for children be x.
Let cost of admission for adults be y.
Let cost of admission for carnival tickets be z.
Thus, we have the simultaneous equation as;
2x + 3y + 50z = 51
4x + 6y + 100z = 90
2x + 5y + 80z = 78
Thus, writing this in matrix form gives;
![\left[\begin{array}{ccc}2&3&50\\4&6&100\\2&5&80\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}51\\90\\78\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%2650%5C%5C4%266%26100%5C%5C2%265%2680%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D51%5C%5C90%5C%5C78%5Cend%7Barray%7D%5Cright%5D)
Read more about Matrix Equations at; brainly.com/question/11989522
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