Answer:
19.74% of temperatures are between 12.9°C and 14.9°C
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 question, we have that:
What proportion of temperatures are between 12.9°C and 14.9°C?
This is the pvalue of Z when X = 14.9 subtracted by the pvalue of Z when X = 12.9.
X = 14.9
has a pvalue of 0.2420
X = 12.9
has a pvalue of 0.0446
0.2420 - 0.0446 = 0.1974
19.74% of temperatures are between 12.9°C and 14.9°C
Answer:
53.21
Step-by-step explanation:
16.4+ 17.76+19.05
<h3>
Answer: 6</h3>
Mark the locations -6 and 0 on the number line. Note that going from -6 to 0, or vice versa, will take exactly 6 steps. Put another way, the distance between 0 and -6 is 6 units. Absolute value represents distance, so it is never negative.
We say 
Effectively, all we're doing is removing the negative sign.
Answer:
8x^6-10x^5+4x^4-5x^3-4x+5
Step-by-step explanation:
Lest distribute the expression given
this is multiply the first term (4x) with the longer expression (2x^5+x^3-1) and then, multiply the second term (-5) with the longer expression (2x^5+x^3-1).
When the above is finish, simply sum all together.
4x* (2x^5+x^3-1)= 8x^6 +4x^4-4x
-5*(2x^5+x^3-1)=-10x^5-5x^3+5
The sum of all together (respecting the coefficient they belong) is shown:
8x^6-10x^5+4x^4-5x^3-4x+5
