Answer:
The probability that X is between 1.48 and 15.56 is
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.
X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.
This means that
The probability that X is between 1.48 and 15.56
This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So
X = 15.56
has a pvalue of 0.9706
X = 1.48
has a pvalue of 0.0516
0.9706 - 0.0516 = 0.919
Write out the probability notation for this question.
The probability that X is between 1.48 and 15.56 is
9514 1404 393
Answer:
- ΔDEH ~ ΔGEF
- ∠G = 89°
- ∠F = 22°
Step-by-step explanation:
17c. We cannot see the entire diagram, but based on what we can see, if we assume that segments FG and DH are parallel, then angles D and G correspond. The similarity statement is then ...
ΔDEH ~ ΔGEF
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Corresponding angles are congruent, and are listed in the same order in the similarity statement. This means we have ...
∠D ≅ ∠G = 89° . . . . answer to 17b
∠E ≅ ∠E = 69°
∠H ≅ ∠F = 22° . . . . answer to 17a
_____
<em>Additional comment</em>
The second choice listed for part 17c can be rejected simply on the basis that ΔEGH does not exist in the figure. Points G and H are not in the same triangle.
Answer:
The sixth term is -3,072
Step-by-step explanation:
Here, we want to get the 6th term
From the question, the first term is -12
the common ratio would be -12/3 = -4
So the sixth term will be;
ar^5
= 3 * (-4)^5 = -3072