<u>Answer:</u>
No, Shannon didn’t mix the correct shade
<u>Explanation:
</u>
Ratio required for the shade Red : Blue = 5 : 7
The ratio formed of Shannon must be equal to the above standard ratio
But Shannon’s ratio which was mixed for red and blue is
= Red : Blue
= 8 : 12
= 2 : 3, which is not equal to 5 : 7.
Therefore it is proved that Shannon mixing does not matches with the required mixing ratio which is 5:7.
Answer:
16%
Step-by-step explanation:
To solve this we are using the standard growth equation:
Were
is the final value after 
years
is the initial value
is the growth factor (yearly rate of appreciation in our case) in decimal form
is the time in years
We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so 
, 
, and 
.
Let's replace the values in our equation and solve for :
![\sqrt[6]{2.375} =\sqrt[6]{(1+b)^6}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B2.375%7D%20%3D%5Csqrt%5B6%5D%7B%281%2Bb%29%5E6%7D)
![1+b=\sqrt[6]{2.375}](https://tex.z-dn.net/?f=1%2Bb%3D%5Csqrt%5B6%5D%7B2.375%7D)
![b=\sqrt[6]{2.375}-1](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B6%5D%7B2.375%7D-1)
which rounds to
Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:
0.16*100% = 16%
We can conclude that the yearly appreciation rate of our gold coin is approximately 16%
Answer:
simple random sampling
Step-by-step explanation:
Answer:
x ≤ -5
Step-by-step explanation:
According to given condition:
3x + 17 ≤ 2(1 - x)
By simplifying:
3x + 17 ≤ 2 - 2x
Adding 2x - 17 on both sides we get:
3x + 2x ≤ 2 - 17
5x ≤ - 15
Dividing both sides by 5 we get:
x ≤ -5
i hope it will help you!
Answer:
\frac{13+\left(-3\right)^2+4\left(-3\right)+1-\left[-10-\left(-6\right)\right]}{\left[4+5\right]\div \left[4^2\:−\:3^2\left(4−3\right)−8\right]+12}
Step-by-step explanation:
\frac{13+\left(-3\right)^2+4\left(-3\right)+1-\left(-10-\left(-6\right)\right)}{\frac{4+5}{\left(4^2-3^2\left(4-3\right)-8\right)+12}}
