Answer:
x=65/14
Step-by-step explanation:
(x-10)/(x-4)=50/-6
-50/6=-25/3
(x-10)/(x-4)=-25/3
x-10=-25/3(x-4)
x-10=-25/3x+100/3
x-(-25/3x)=100/3+10
x+25/3x=130/3
28/3x=130/3
x=(130/3)/(28/3)
x=(130/3)(3/28)
x=130/28
x=65/14
Answer:
a. Mean
a. 79 points is an outlier, and the mean is most responsive to outliers.
Step-by-step explanation:
17, 14, 30, 24, 21, and 14
Let's calculate the measure of central tendency of the numbers first.
Mean = 120/6
Mean = 20
For Median
Let's arrange the numbers in ascending order
14,14,17,21,24,30
The median is 17 and 21
Median value =( 17+21)/2
Median = 38/2
Median = 19
Mode = 14.
After 79 was added.
Mean =( 120+79)/7
Mean = 199/7
28.43
For Median
14,14,17,21,24,30,79
Median= 21
Mode = 14
The value that changed the most was the mean value.
<span>56f^3 g^2 = 7fg^2(8f^2)
and
70fg^3 = 7fg^2(10g)
</span>Gcf of 56f^3 g^2 and 70fg^3 = 7fg^2
Answer:
The prices of the two stocks will be the same in 1.56 hours.
Step-by-step explanation:
The price of Stock A at 9 A.M. was $12.95 Since then, the price has been increasing at the rate of $0.12 each hour.
This means that after x hours, the value of Stock A is:
![S_{A}(x) = 12.95 + 0.12x](https://tex.z-dn.net/?f=S_%7BA%7D%28x%29%20%3D%2012.95%20%2B%200.12x)
After noon:
Noon is 3 hours after 9 AM, so
![S_{A}(3) = 12.95 + 0.12*3 = 13.31](https://tex.z-dn.net/?f=S_%7BA%7D%283%29%20%3D%2012.95%20%2B%200.12%2A3%20%3D%2013.31)
So in x hours after noon, the value is given by:
![S_{A}(x) = 13.31 + 0.12x](https://tex.z-dn.net/?f=S_%7BA%7D%28x%29%20%3D%2013.31%20%2B%200.12x)
At noon the price of Stock B was $13.70. It begins to decrease at the rate of $0.13 each hour.
This means that after x hours, the value of Stock B is:
![S_{B}(x) = 13.70 - 0.13x](https://tex.z-dn.net/?f=S_%7BB%7D%28x%29%20%3D%2013.70%20-%200.13x)
In how many hours will the prices of the two stocks be the same?
This is x for which:
![S_{A}(x) = S_{B}(x)](https://tex.z-dn.net/?f=S_%7BA%7D%28x%29%20%3D%20S_%7BB%7D%28x%29)
![13.31 + 0.12x = 13.70 - 0.13x](https://tex.z-dn.net/?f=13.31%20%2B%200.12x%20%3D%2013.70%20-%200.13x)
![0.25x = 0.39](https://tex.z-dn.net/?f=0.25x%20%3D%200.39)
![x = \frac{0.39}{0.25}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B0.39%7D%7B0.25%7D)
![x = 1.56](https://tex.z-dn.net/?f=x%20%3D%201.56)
The prices of the two stocks will be the same in 1.56 hours.
Hey there!
Let's start by finding what 1% of 210 is.
This can be done by dividing 210 by 100, since 1% is the same as 1/100 of something.
210 ÷ 100 = 2.1
To find 36%, we can multiply 2.1 by 36.
2.1 x 36 = 75.6
So, 36% of 201 is 75.6.
Hope this helps!