ZABC and ZQRS are supplementary angles.

Mathematics

2 answers:

Elenna [48]2 years ago

5 0

THEOREM:

Supplementary angle —: Two angles are called supplementary when their measures add up to 180 degrees.

ANSWER:

By supplementary angle theorem,

m∠ABC + m∠QRS = 180°
100° + m∠QRS = 180°
m∠QRS = 180° – 100°
m∠QRS = 80°

Hence, the measure of m∠QRS is 80°.

Anastasy [175]2 years ago

4 0

Answer:

dum b

Step-by-step explanation:

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This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .