One leg of a right triangle measures 10 inches while the other leg measures sqrt(21) Inches . What is the length of hypotenuse ?

Mathematics

2 answers:

Sveta_85 [38]3 years ago

4 0

Answer:

$\sqrt{541} \\$ =x

Step-by-step explanation:

10^2+21^2=x^2]

100+441=x^2

541=x^2

$\sqrt{541} \\$ =x

Snezhnost [94]3 years ago

4 0

Answer:

c= 23.26 inches

Step-by-step explanation:

a^2+b^2= C^2

c=a^2+b^2=10^2+21^2=23.25941

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Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t

NeTakaya

Answer:

$\mu = 11$

$\sigma = 2.08$

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when $Z = -1.44, X = 8$ . So