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2 years ago

Don claims that perpendicular lines are lines that intersect such that at least one of the angles is a right angle.

Mathematics

1 answer:

boyakko [2]2 years ago

7 0

A) Intersecting lines allow for the creation for angles with a common vertex

B) if one of the angles is a right angle, the angle the vertical to it must also be a right angle

Step-by-step explanation

C) is not true because linear pairs are supplementary not complementary because a line = 180°

B) it’s true because they are corresponding vertical angles

A) it’s true because they all have the same starting point or vertex

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Distinguish between rote and rational counting

sergejj [24]

Answer: There is a difference between rote counting and rational counting. Rote counting involves the memorization of numbers. Rational counting tells children "how many there are." For children to count rationally, they need to demonstrate one-to-one correspondence.

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1 year ago

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equ

kompoz [17]

Answer:

0.62% probability that a random sample of 16 bulbs will have an average life of less than 775 hours.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$

Normal probability distribution.

Problems of normally distributed samples can be 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.

In this problem, we have that:

$\mu = 800, \sigma = 40, n = 16, s = \frac{40}{\sqrt{16}} = 10$

Find the probability that a random sample of 16 bulbs will have an average life of less than 775 hours.

This probability is the pvalue of Z when $X = 775$ . So

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

$Z = \frac{775 - 800}{10}$

$Z = -2.5$

$Z = -2.5$ has a pvalue of 0.0062. So there is a 0.62% probability that a random sample of 16 bulbs will have an average life of less than 775 hours.

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2 years ago

Elly's room measures 78 inches by 96 inches. Sarah's room measures 66 inches by 108 inches. They want to combine their rooms. Ho

frozen [14]

Okay add 78 and 66. Then add 96 and 108. It should be 144 by 204. I know math is hard, but when you work at it you can do amazing things! I hope that helps you.

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2 years ago

Read 2 more answers

Micah and Crystal purchase two movie tickets. Tickets costs $8.50 each, drinks cost $3.50 each, and boxes of candy cost $3.00 ea

AysviL [449]

2t+2d+2c=30

2(8.50)+2(3.50)+2(3.00)=$30

t representing tickets d representing drinks c representing candy

the answer really depends on how much of each item they buy

if they bought more than 2 of each just change the 2 to the number of items bought

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2 years ago

4.14 Defective rate. A machine that produces a special type of transistor (a component of computers) has a 2% defective rate. Th

scZoUnD [109]

Answer:

Step-by-step explanation:

Given that transitor has a 2% defective rate, need to calculate the probability that the 10th transistor produced is the first with a defect.

The probability function is p(x=k) = (1-p)^(n-1) * p

p = (1-defective rate)^(n-1) * defective rate; n=10

p = (1-0.02)^9 * 0.02 = 0.98^9 * 0.02 = 0.01666

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2 years ago