-2x+3y=-12 2x+y=4 After adding the two equations to eliminate x you are left with 4y=-8 Solve for y: y =
2 answers:
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Answer:
Number of volleyballs bought = 8
Number of basketballs bought = 11
Step-by-step explanation:
Given that:
Total amount spent = $204.20
Let,
x be the number of volleyballs
y be the number of basketballs
According to given statement;
y = x+3 Eqn 1
8.20x+12.60y=204.20 Eqn 2
Putting value of y from Eqn 1 in Eqn 2
8.20x + 12.60(x+3) = 204.20
8.20x + 12.60x + 37.80 = 204.20
20.80x = 204.20 - 37.80
20.80x = 166.40
Dividing both sides by 20.80
Putting x=8 in Eqn 1
y = 8+3 = 11
Hence,
Number of volleyballs bought = 8
Number of basketballs bought = 11
Answer:
The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the minimum score needed to be considered for admission to Stanfords graduate school?
Top 2.5%.
So X when Z has a pvalue of 1-0.025 = 0.975. So X when Z = 1.96
The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.