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Jobisdone [24]
3 years ago
9

Uhh i guess you just find x ..

Mathematics
1 answer:
zaharov [31]3 years ago
6 0
X = 3.5

This is because PQRS is similar to JKLM, hence RS is similar to LM.

RS is half of LM
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Step-by-step explanation:

But hi!

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The domain of a function is the set of all negative numbers. Which quadrant could the function be located in? Select two that ap
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Step-by-step explanation:

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Give three soulutions of the inequality 5x-2>7.
Alexandra [31]
5x - 2 > 7
x = 2, 3, 4, 5.
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3 years ago
Find and interpret the mean absolute deviation of the data. Round your answers to the nearest tenth. If necessary 101.5 98.7 95.
lesya692 [45]

Answer:

\bar X = 100.4

And we can calculate the deviations from each value like this:

|101.5-100.4 |=1.1

|98.7-100.4 |=1.7

|95.4-100.4 |=5.0

|92.3-100.4 |=8.1

|109.8-100.4 |=9.4

|104.7-100.4|=4.3

And the mean absolute deviation would be:

MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93

Step-by-step explanation:

For this case we have the following dataset given:

101.5 98.7 95.4 92.3 109.8 104.7

We can calculate the mean with the following formula:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = 100.4

And we can calculate the deviations from each value like this:

|101.5-100.4 |=1.1

|98.7-100.4 |=1.7

|95.4-100.4 |=5.0

|92.3-100.4 |=8.1

|109.8-100.4 |=9.4

|104.7-100.4|=4.3

And the mean absolute deviation would be:

MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93

8 0
3 years ago
There are approximately 7.7 billion humans on Earth. If the virus spreads beyond the 200-person town, how long will it be until
eimsori [14]

Answer:

25.2 weeks until everyone on the planet is infected

Step-by-step explanation:

The number of infected people after t weeks has the following format:

P(t) = P(0)(1+r)^{t}

In which P(0) is the initial number of infected people and r is the growth rate, as a decimal.

The number of infected people doubles every week

This means that P(1) = 2P(0)

So

P(t) = P(0)(1+r)^{t}

2P(0) = P(0)(1+r)

1 + r = 2

r = 1

So

P(t) = P(0)*(2)^{t}

200-person town

This means that P(0) = 200

So

P(t) = P(0)*(2)^{t}

P(t) = 200*(2)^{t}

How long will it be until everyone on the planet is infected?

This is t for which P(t) = 7700000000[/tex]

So

P(t) = 200*(2)^{t}

7700000000 = 200*(2)^{t}

2^{t} = \frac{7700000000}{200}

\log{2^{t}} = \log{\frac{7700000000}{200}}

t\log{2} = \log{\frac{7700000000}{200}}

t = \frac{\log{\frac{7700000000}{200}}}{\log{2}}

t = 25.2

25.2 weeks until everyone on the planet is infected

4 0
3 years ago
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