120/4 = 30
120 x 2 = 240
240 + 30 = 270
270 grams of flour were used
Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Step-by-step explanation:
Cost of almonds per pound = $10
Cost of roasted pistachios = $12
Total amount spent = $70
Weight of nuts = 6.3
Let,
Weight of almonds = x
Weight of roasted pistachios = y
According to given statement;
x+y=6.3 Eqn 1
10x+12y=70 Eqn 2
Multiplying Eqn 1 by 10

Subtracting Eqn 3 from Eqn 2;

Dividing both sides by 2

Putting y=3.5 in Eqn 1

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Keywords: linear equations, elimination method
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Answer:
Hi
Step-by-step explanation:
Answer:
Keenan's z-score was of 0.61.
Rachel's z-score was of 0.81.
Step-by-step explanation:
Z-score:
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.
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.
This means that 
So



Keenan's z-score was of 0.61.
Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.
This means that
. So



Rachel's z-score was of 0.81.