Answer:
Takeru bought 72 eggs and baked 18 soufflés .
Step-by-step explanation:
Let
e = number of eggs Takeru bought.
s = number of soufflés Takeru bought.
Then we know that Takeru bought 4 times as many eggs as he baked soufflés, therefore:

And since for every soufflés Takeru bakes he uses 3 eggs, and after backing he has 18 eggs left, we have:
<em>This says that from
eggs there are 18 eggs left after Tkeru used three eggs for each soufflé.</em>
Now we have two equations:


We put the value of e from equation (1) into equation (2) and solve for s and get:


Thus
Number of eggs Takeru bought = 72.
Number of soufflés Takeru bought = 18.
Answer: 1st one
Step-by-step explanation:
Answer:
The value that represents the 90th percentile of scores is 678.
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:

Find the value that represents the 90th percentile of scores.
This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.




The value that represents the 90th percentile of scores is 678.
The sum is the result of adding two or more numbers.
If one number is 7w and another number is 5, then the sum is
7w+5.
Answer: the algebraic expression for the word phrase the sum of 7w and 5 is 7w+5.