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2 years ago

Urgent:

Mathematics

1 answer:

rjkz [21]2 years ago

5 0

Step-by-step explanation:

<h3>Given:</h3>

CM ⊥ AB
∠3 = ∠4

<h3>To prove: </h3>

△AMC ≅ △BMC

<h3>Solution:</h3>

∠ACM≅∠BCM - given

<u>CM⊥AB - given, therefore</u>

∠AMC = 90° and ∠BMC = 90°

∠AMC ≅ ∠BMC

Side CM is common, therefore is congruent to itself

<u>So we have congruent two angles and a side between them on triangles AMC and BMC:</u>

△AMC ≅ △BMC as per ASA congruency theorem

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3 years ago

For what value of x is the rational expression below undefined?

Blizzard [7]

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The expression is undefined for any x that makes the denominator 0. This leads to solving a quadratic equation:

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3 years ago

Read 2 more answers

Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi

ziro4ka [17]

Answer:

If the weight is higher than 5.8886 gr would be considered significantly high

If the weight is lower than 5.6121 gr would be considered significantly low

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(5.75241,0.06281)$

Where $\mu=5.75241$ and $\sigma=0.06281$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

For the case when z =-2 we can do this:

$-2 = \frac{X-5.75241}{0.06281}$

And if we solve for X we got:

$X = 5.75241 -2*0.06281 =5.6121$

And for the other case when Z=2 we have:

$2 = \frac{X-5.75241}{0.06281}$

And if we solve for X we got:

$X = 5.75241 +2*0.06281 =5.8886$

If the weight is higher than 5.8886 gr would be considered significantly high

If the weight is lower than 5.6121 gr would be considered significantly low

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Aaron made a $400 purchase using his credit card. The credit card has a simple interest rate of 12% each year. How much will Aar

melisa1 [442]

Answer: 448 dollars

=============================================

Work Shown:

P = 400 is the balance

r = 0.12 is the decimal form of the interest rate

t = 1 is the number of years

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Add this onto the balance of 400 dollars and the total amount Aaron owes is P+i = 400+48 = 448 dollars.

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2 years ago