Answer: 
Step-by-step solution:
Leon’s older brother’s height is 
feet
feet
Because Leon is 1/3 foot shorter than his brother,
Leon’s height = 
Convert to like fractions by multiplying numerator and denominator: multiply 3 for the first fraction and 4 for the second.
So, Leon’s height = 
feet
Therefore, Leon’s height is feet.
Answer:
The fat percentage in the blend amounts to 8%.
Step-by-step explanation:
Let
x -----> represent the fat percentage in the mix.
We understand that
The total of milk's volume times its fat percentage, added to cream's volume times its fat ratio, must match the overall mixture's volume times its fat percentage.
Keep in mind that
15% = 15/100 = 0.15
3% = 3/100 = 0.03
therefore
Now, solve for x
Convert that into a percentage
Answer:
a) The outlier is the point located at the bottom right of the graph
b) The plotted points resemble a line that has a positive gradient
c) By conducting correlation analysis, we can determine the strength of the correlation
Step-by-step explanation:
a) The problem presents a scenario where Igor, who has recently moved, is experienced but needs to retrain medically to practice in the UK
Thus, he corresponds to the outlier situated nearest to the graph's bottom right
b) According to the scatter graph, there's a direct relationship showing that as a doctor's age increases, their annual salary tends to climb as well
Referencing the graph:
Age Salary
22 £28000
26 £30000
34 £44000
38 £42000
42 £30000
42 £46000
50 £55000
The data points follow a line demonstrating the proportional increase of salary with age.
c) To reinforce this conclusion's reliability, correlation analysis should be conducted to ascertain the relationship between age and annual incomes.
Response:
The third option is correct
Step-by-step explanation:
What is the inverse of y = 7x^2 – 10?
y = ±√(x + 10) / 7
y = ±√((x + 10) / 7)
x = ±√(x / 7) + 10
y = ±√(x) / 7 ± √(10) / 7
1,680 grams
To determine this, we can set up a proportion as follows:
grams/people=grams/people
The recipe requires 480 grams for 4 individuals and we need to find how many grams (x) are necessary for 14 individuals.
480 grams/4 people=x grams/14
480/4=x/14
Now, let's isolate x, the grams necessary for 14 people. Currently, x is divided by 14, so we will multiply both sides by 14 as multiplication is the inverse of division.
14(480/4)=(x/14)14
14(480/4)=x
14*120=x
1680=x
Thus, she requires 1,680 grams of couscous to serve 14 individuals.
