Answer:
The common ratio is -2
Next three terms are 18, -36, and 72
Step-by-step explanation:
The common ratio is -2 since each consecutive term is being multiplied by -2
The next three terms are -9(-2) = 18, 18(-2) = -36, and -36(-2) = 72
Answer:
<u>The correct answer is 15.72 or 6 ∛18</u>
Step-by-step explanation:
Let's calculate the cube root of 216 * 18
∛(216 * 18)
216 = 8 * 27
8 = 2³; 27 = 3³
18 = 9 * 2 or 3² * 2
∛(8 * 27 * 18)
Simplifying:
∛(2³ * 3³ * 3² * 2)
∛(2³ * 3³ * 3² * 2)
2 * 3 ∛(3² * 2
<u>6 * 2.62 = 15.72 or 6 ∛18</u>
Answer:
A. mean=14.29
median=16
B. IQR=10
C. option 3
D. 5.91
Step-by-step explanation:
mean=sum of values/number of values=10+20+4+13+21+16+16/7=14.29
median is achieved by arranging data in increasing order and then calculating the middle value
4 10 13 16 16 20 21
The mid value is 16 so the median=16
IQR=interquartile range=3rd quartile-1st quartile=Q3-Q1=20-10=10
As n/4=7/4 is not an integer so
Q1=(n/4+1)value=(7/4+1)=2.75=2nd value=10
Q3=(3n/4+1)value=6.25=6th value=20
Standard deviation=s=sqrt(∑(x-xbar)²/n-1)=sqrt(209.43/6)=5.91
The first thing we are going to do for this case is define variables.
We have then:
x: Amount of soybean meal
320 - x: quantity of cornmeal
We now write the equation that models the problem:
![0.16x + 0.08 (320-x) = 0.09 (320) ](https://tex.z-dn.net/?f=0.16x%20%2B%200.08%20%28320-x%29%20%3D%200.09%20%28320%29%0A)
Rewriting we have:
![0.16x + 25.6 - 0.08x = 28.8 ](https://tex.z-dn.net/?f=0.16x%20%2B%2025.6%20-%200.08x%20%3D%2028.8%0A)
From here, we clear x:
![0.16x - 0.08x = 28.8 - 25.6 0.08x = 3.2 x = 3.2 / 0.08 x = 40](https://tex.z-dn.net/?f=0.16x%20-%200.08x%20%3D%2028.8%20-%2025.6%0A%0A0.08x%20%3D%203.2%0A%0Ax%20%3D%203.2%20%2F%200.08%0A%0Ax%20%3D%2040)
Then, the amount of Soybean meal is:
![x = 40 lb ](https://tex.z-dn.net/?f=x%20%3D%2040%20lb%0A)
The amount of cornmeal is:
Answer:
cornmeal: 280 lb
Soybean: 40 lb.
Answer:
![- \frac{1}{6}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B6%7D%20)
Step-by-step explanation:
![- \frac{8}{3} + \frac{5}{2} \\ - \frac{8 \times 2}{3 \times 2} + \frac{5 \times 3}{2 \times 3 } \\ - \frac{16}{6} + \frac{15}{6} \\ = - \frac{1}{6}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B8%7D%7B3%7D%20%20%2B%20%20%5Cfrac%7B5%7D%7B2%7D%20%20%5C%5C%20%20-%20%20%5Cfrac%7B8%20%5Ctimes%202%7D%7B3%20%5Ctimes%202%7D%20%20%2B%20%20%5Cfrac%7B5%20%5Ctimes%203%7D%7B2%20%5Ctimes%203%20%7D%20%20%5C%5C%20%20-%20%20%5Cfrac%7B16%7D%7B6%7D%20%20%2B%20%20%5Cfrac%7B15%7D%7B6%7D%20%20%5C%5C%20%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B6%7D%20%20)