A business assistant must leave more than $50 in the supply account. There is $200 in the account. The assistant needs to order
2 answers:
Answer: 14
Step-by-step explanation:
Given: The total balance in the account = $200
Also the business assistant must leave more than $50 in the supply account.
Therefore, the maximum amount he can use to order boxes= ..(1)
Since the assistant needs to order x boxes of pens.
Cost of each box = $10.50
Therefore, cost of x boxes=10.50 x
From (1), we have the inequality
Hence, the business assistant can buy maximum 14 boxes of pens.
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Hey, there, Brooklyn! For the first problem, set up a proportion. Think of the line that separates the numerator and denominator is the word 'per'. If it's 0.75 yd per costume, then your fraction is . If she buys 6 yards, simply multiply
, which is 4.5. However, making 4.5 costumes doesn't sound too possible, does it? It's better to just say she can make 4 costumes.
Now let's look at the second problem. If just one side has a length of , then that means there must be another side with the same length, as it is a rectangle we're talking about here. That means we should multiply the known length by two and subtract it from the perimeter like this:
Remember the PEMDAS method. Distribute the 2;
Now combine like terms:
--> 6x + 12y
Now we have an answer, but it's not the right one. You see, this is the length of both of the unknown lengths. To get the right answer, divide this by 2. The other side is units long. Hope this helped.
Answer:
C = 75 in
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be 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.
Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in.
This means that
Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team.
This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975, so X when Z = 1.96.
Rounded to the nearest inch,
C = 75 in