All categories

3 years ago

Segments proofs. B is the midpoint of AC Prove 2bc=AB

Mathematics

1 answer:

Umnica [9.8K]3 years ago

4 0

Answer:

B is the midpoint of AC because <AB and <BC have the same measurement.

You might be interested in

The lengths of bolts in a batch are distributed normally with a mean of 3 cm and a standard

ValentinkaMS [17]

Answer:

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 3 cm and a standard deviation of 0.04 cm.

This means that $\mu = 3, \sigma = 0.04$

What is the probability that a bolt has a length greater than 2.96 cm?

This is 1 subtracted by the p-value of Z when X = 2.96. So

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

$Z = \frac{2.96 - 3}{0.04}$

$Z = -1$

$Z = -1$ has a p-value of 0.1587.

1 - 0.1587 = 0.8413

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%7B%7D%5E%7B2%7D%20-%204%20%7D%7B%20%5Csqrt%7Bx%20%7B%7D%5E%7B2%7D%20-%206x%2

Nimfa-mama [501]

First of all, we can observe that

$x^2-6x+9 = (x-3)^2$

So the expression becomes

$\dfrac{x^2-4}{\sqrt{(x-3)^2}} = \dfrac{x^2-4}{|x-3|}$

This means that the expression is defined for every $x\neq 3$

Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

$x^2-4 \geq 0 \iff x\leq -2 \lor x\geq 2$

Since we can't accept 3 as an answer, the actual solution set is

$(-\infty,-2] \cup [2,3) \cup (3,\infty)$

7 0

2 years ago

Misha Larkins [42]

Answer:

It's 130.66, D

Step-by-step explanation:

:)) yw

8 0

3 years ago

Read 2 more answers

Vicki puts 10 books on a shelf.The 10 books take up 28 centimeters.What is the mean (average) thickness of her books?= 2.8 cmThe

babymother [125]

So each book is an average of 2.8 cm
so 120 divided by each book=number of books
120/2.8=42.85
round down since you can't fit .85 of a book on a shelf
the answer is 42 books

4 0

2 years ago

Tom plans to save twice as much next month as he did during the months he saved over $30 a month. How much will Tom save next mo

postnew [5]

Answer: i think it is A tell me if i am wrong!

Step-by-step explanation:

3 0

2 years ago