Expand the following expression: 4 (2k + j)
2 answers:
Answer:
Step-by-step explanation:
Use the distributive property.
<u>Distributive property:</u>
⇒ A(B+C)=AB+AC
<h3>4(2k+j)</h3><u>First, multiply by expand.</u>
→ 4*2k=8k
→ 4*j=4j
<u>Rewrite the problem down.</u>
= 8k+4j
- <u>Therefore, the correct answer is 8k+4j.</u>
I hope this helps! Let me know if you have any questions.
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Answer:
At least 202.44 mm in the top 15%.
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:
How many yearly mm of rainfall would there be in the top 15%?
At least X mm.
X is the 100-15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.
At least 202.44 mm in the top 15%.