Answer:
Janice converted a mixed number to the wrong improper fraction.
Step-by-step explanation:
1 batch of stew uses 1 and 2/3 lb meat
Total amount of meat used - 10 and 5/6 lb
x = number of stew batches made
To get number of batches made, divide total meat used by the amount of meat each batch requires:
x = 10 5/6 ÷ 1 2/3
convert mixed fractions to improper fractions:
x = (10x6+5)/6 ÷ (1x3+2)/3
x = 65/6 ÷ 5/3
The fraction in bold numbers is where Janice got it wrong. She changed 1 2/3 to 5/2. (From the question: 10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds = StartFraction 65 over 6 EndFraction divided by five halves). 1 2/3 converted to an improper fraction is 5/3. From this point going forward, the calculations are wrong.
Answer:
x = 16, y = 16√3
Step-by-step explanation:
x = 32/2 = 16
y = 16(√3) = 16√3
Total number of outcomes of 7 from 10 = 10*9*8 / 3*2*1 = 120
probability of each outcoe is 0.85^7* (0.15)^(3) = 0.0010819
Required probability = 120 * 0.0010819 = 0.1298
Answer: 
Step-by-step explanation:
Given
Here the given figure can be divided into two shapes i.e. rectangle and a trapezium
For rectangle ABCD Area = 
Area of trapezium CEFD Area is ![\frac{1}{2}[\text{sum of non-parallel sides}]\times[\text{distance between them}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%5Ctext%7Bsum%20of%20non-parallel%20sides%7D%5D%5Ctimes%5B%5Ctext%7Bdistance%20between%20them%7D%5D)
![\Rightarrow \frac{1}{2}\times [10+17][10]=135\ cm^2](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5B10%2B17%5D%5B10%5D%3D135%5C%20cm%5E2)
Total shaded area 
