44% of what number is 400?
2 answers:
You might be interested in
Answer:
As we can see the z score for Ferdinad is higher than the z score for Emilia so on this case we can conclude that Ferdinand was better compared with his group of reference.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Emilia case
Let X the random variable that represent the scores of a test, and we know that
Where and
The z score formula is given by:
Since Emilia made 83 points we can find the z score like this:
Ferdinand case
Let X the random variable that represent the scores of a test, and we know that
Where and
The z score formula is given by:
Since Ferdinand made 79 points we can find the z score like this:
As we can see the z score for Ferdinad is higher than the z score for Emilia so on this case we can conclude that Ferdinand was better compared with his group of reference.
Answer:
The cost of one rose bushes be $10 and the cost of shrubs $4.
Step-by-step explanation
Let us assume that the cost of rose bushes be x .
Let us assume that the cost of shrubs be y .
As given
Rob and Amy each improved their yards by planting rose bushes and shrubs.
They bought their supplies from the same store.
Rob spent $100 on 8 rose bushes and 5 shrubs.
Than the equation
8x + 5y = 100
Amy spent $112 on 8 rose bushes and 8 shrubs.
8x + 8y = 112
Than the two equation
8x + 5y = 100 and 8x + 8y = 112
Subtracting 8x + 5y = 100 from 8x + 8y = 112
8x - 8x + 8y - 5y = 112 - 100
3y = 12
y = $4
Put in the equation 8x + 5y = 100 .
8x + 5 × 4 = 100
8x + 20 = 100
8x = 100 - 20
8x = 80
x = $10
Therefore the cost of one rose bushes be $10 and the cost of shrubs $4.