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dezoksy [38]
3 years ago
15

On the first day of school, Mr. Vilani gave his third- grade students 5 new words to spell. On each day of school after that, he

gave the students 3 new words to spell. In the first 20 days of school, how many new words had he given the students to spell?
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0
So, the best way to solve this problem is by creating a equation for which we can substitute any number of days. For this problem that equation would be W=5+3(t-1)
W=number of words
T=time or number of days
-1= This is here because we are already accounting for the first day of school so we need to have 1 less day than the number of days they have been in school.
So in 20 days the students had received
5+3(19) or 62words.
Answer: 62 words
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Step-by-step explanation:

We are given that the breaking strength of its most popular porcelain tile is normally distributed with a mean of 400 pounds per square inch and a the standard deviation of 12.5 pounds per square inch.

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SO, X ~ Normal(\mu=400,\sigma^{2}=12.5^{2})

The z score probability distribution for normal distribution is given by;

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where, \mu = mean breaking strength of porcelain tile = 400 pounds per square inch

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Now, probability that the popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch is given by = P(X > 412.5)

        P(X > 412.5) = P( \frac{X-\mu}{\sigma} > \frac{412.5-400}{12.5} ) = P(Z > 1) = 1 - P(Z \leq 1)

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Step-by-step explanation:

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