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Kruka [31]
4 years ago
11

What theorem shows that GTY=GUX?

Mathematics
1 answer:
wlad13 [49]4 years ago
6 0

Answer:SAS

Step-by-step explanation:

The line show congruent line which means two sides. Since it has vertical angles it has a angle.

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Bill invested $4000 at 6%
stiks02 [169]

We have to find the,

Accumulated amount at end of 12 years.

The formula we use,

→ A = P(1+r)^t

It is given that,

→ P = $4000

→ t = 12 years

Then r will be,

→ 6%

→ 6/100

→ 0.06

Then the total amount is,

→ P(1+r)^t

→ 4000 × (1 + 0.06)^12

→ 8048.79

Thus, $ 8048.79 is the amount.

8 0
4 years ago
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When 9^2/3 is written in simplest radicsl form, which value remains under the radical? 3 6 9 27
finlep [7]

\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 9^{\frac{2}{3}}\implies (3^2)^{\frac{2}{3}}\implies 3^{2\cdot \frac{2}{3}}\implies 3^{\frac{4}{3}}\implies \sqrt[3]{3^4}\implies \sqrt[3]{3^3\cdot 3^1}\implies 3\sqrt[3]{\stackrel{\textit{this one}}{3}}

7 0
3 years ago
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Simplify 3(6-3)+3/3^2-3
Leto [7]
The answer is 19/3. Hope this helps!
4 0
4 years ago
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What is the domain of the function?
amid [387]

Answer:

The domain is all real numbers.

Step-by-step explanation:

For each value of x, there is at least one value of y.

I hope I've helped you.

4 0
4 years ago
olice response time to an emergency call is the difference between the time the call is first received by the dispatcher and the
yan [13]

Answer:

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

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 7.2 minutes and a standard deviation of 2.1 minutes.

This means that \mu = 7.2, \sigma = 2.1

For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes.

This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3.

X = 9

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

Z = \frac{9 - 7.2}{2.1}

Z = 0.86

Z = 0.86 has a pvalue of 0.8051

X = 3

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

Z = \frac{3 - 7.2}{2.1}

Z = -2

Z = -2 has a pvalue of 0.0228

0.8051 - 0.0228 = 0.7823

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

4 0
3 years ago
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