Answer:
Helena gave the answer as (7y²z + 6yz²- 5 - 3yz² + 2) which is equivalent to (7y²z + 3yz² - 3).
Step-by-step explanation:
Misha's group was asked to write an expression equivalent to
7y²z + 3yz² - 3
When Mr. Chen checked their answers, he found only one to be correct.
And she was Helena.
Helena gave the answer as (7y²z + 6yz²- 5 - 3yz² + 2) which is equivalent to (7y²z + 3yz² - 3).
Because, (7y²z + 6yz²- 5 - 3yz² + 2)
= 7y²z + (6yz² - 3yz²) - (5 - 2)
= 7y²z + 3yz² - 3 (Answer)
Answer:
25 wooden boards
Step-by-step explanation:
Given that:
Width of wooden board = 6 inches
Number of boards required to build a fence of 150 inches long if there are no gaps :
The lenght of fence / width of wooden board
= 150 inches / 6 inches
= 25 wooden boards
Answer:
P(X < 80) = 0.89435.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
P(X < 80)
This is the pvalue of Z when X = 80. So
has a pvalue of 0.89435.
So
P(X < 80) = 0.89435.
Answer:
(9,6)
Step-by-step explanation:
You just take one of the (x,y) pairs and switch the numbers with each other so it's like (y,x)
4.5% of 545 is 24.525, rounding to the nearest thousandth 24.53. (545 + 24.53 = $569.53
