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Viktor [21]
3 years ago
13

Angles that measure 135 degrees and 45 degrees are complementary, True or false?

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
7 0

Answer:

False

Step-by-step explanation:

Complementary angles are when either of two angles whose sum is 90°.

forsale [732]3 years ago
6 0

Answer:

FAlse

complementary angles measures 90

as 45 + 135 = 180 these are supplementary angles

Step-by-step explanation:

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Select the correct answer.
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Step-by-step explanation:

2x^2+16x-8=0

Simplify:

x^2+8x=4

Rewrite in the form (x+a)^2=b:

x^2+8x=4

Add 4^2 to both sides:

x^2+8x+4^2=4+4^2

x^2+8x+4^2=20

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3 years ago
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A charity receives 2025 contributions. Contributions are assumed to be mutually independent and identically distributed with mea
uysha [10]

Answer:

The 90th percentile for the distribution of the total contributions is $6,342,525.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

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}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums of size n, the mean is \mu*n and the standard deviation is s = \sqrt{n}*\sigma

In this question:

n = 2025, \mu = 3125*2025 = 6328125, \sigma = \sqrt{2025}*250 = 11250

The 90th percentile for the distribution of the total contributions

This is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. Then

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

1.28 = \frac{X - 6328125}{11250}

X - 6328125 = 1.28*11250

X = 6342525

The 90th percentile for the distribution of the total contributions is $6,342,525.

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Step-by-step explanation:

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