Becky invests £5000 for 2 years in a bank account.
1 answer:
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Answer:
See explanation
Step-by-step explanation:
Let x be the number of hours per week Nando is brisk walking and y be the number of hours per week Nando is biking at a moderate pace.
For the first month, he needs to exercise at most five hours per week, then
Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.
Biking at a moderate pace burns about 700 calories per hour, then it burns 700y calories per y hours.
Nando must burn at least 2,000 calories per week, so
You get the system of two inequalities:
The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.
Answer:
12
Step-by-step explanation:
In this question, there are two variables: the number of mangoes(y) bought and the number of oranges bought(x).
Let's say the man have z money, mangoes price is z and the oranges price is
z. The equation for money and number of mangoes and oranges will be:
money = mango price * mangoes bought + orange price * orange bought
z= z * x +
z *y
1= x +
y
-y=
x -1
y= -1.5x + 30
y= 30 - 1.5x
If he want equal number of mango and orange, that mean y=x. The calculation will be:
y= 30 - 1.5x
x= 30 - 1.5x
x+ 1.5x = 30
2.5x= 30
x= = 12
Answer:
0.1151 = 11.51% probability of completing the project over 20 days.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Expected completion time of the project = 22 days.
Variance of project completion time = 2.77
This means that
What is the probability of completing the project over 20 days?
This is the p-value of Z when X = 20, so:
has a p-value of 0.1151.
0.1151 = 11.51% probability of completing the project over 20 days.