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evablogger [386]
2 years ago
12

Given that G(x) = 5/2x - 7/2 what is x if G(x) = 39

Mathematics
2 answers:
Evgen [1.6K]2 years ago
4 0

If G(x) = 39, then

5/2x - 7/2 = 39

Multiplying both sides by 2, we get

5x - 7 = 78

5x = 78 + 7

5x = 85

x = 17

I hope this answer helps!

Solnce55 [7]2 years ago
4 0

Answer:

x=17

Step-by-step explanation:

Given that G(x)=5/2x-7/2

Given that G(x)=39

Which is 39=5/2x-7/2

Multiply through by 2

39×2=(5/2x)2 - (7/2)2

78=5x -7

5x=78+7=85.

x=85/5

x=17.

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Which is the simplified form of the expression ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript nega
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Answer:

The option "StartFraction 1 Over 3 Superscript 8" is correct

That is \frac{1}{3^8} is correct answer

Therefore [(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2=\frac{1}{3^8}

Step-by-step explanation:

Given expression is ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared

The given expression can be written as

[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2

To find the simplified form of the given expression :

[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2

=(2^{-2})^{-3}(3^4)^{-3}\times (2^{-3})^2(3^2)^2 ( using the property (ab)^m=a^m.b^m )

=(2^6)(3^{-12})\times (2^{-6})(3^4) ( using the property (a^m)^n=a^{mn}

=(2^6)(2^{-6})(3^{-12})(3^4) ( combining the like powers )

=2^{6-6}3^{-12+4} ( using the property a^m.a^n=a^{m+n} )

=2^03^{-8}

=\frac{1}{3^8} ( using the property a^{-m}=\frac{1}{a^m} )

Therefore [(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2=\frac{1}{3^8}

Therefore option "StartFraction 1 Over 3 Superscript 8" is correct

That is \frac{1}{3^8} is correct answer

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<h3>The probability that it rains at most 2 days</h3>

The given parameters are:

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The probability that it rains at most 2 days is represented as:

P(x ≤ 2) = P(0) + P(1) + P(2)

Each probability is calculated as:

P(x) = ^nC_x * p^x * (1 - p)^{n - x}

So, we have:

P(0) = ^7C_0 * (92\%)^0 * (1 - 92\%)^{7 - 0} = 0.00000002097

P(1) = ^7C_1 * (92\%)^1 * (1 - 92\%)^{7 - 1} = 0.00000168821

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P(x ≤ 2) =0.00000002097 + 0.00000168821 + 0.00005824315

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Hence, the probability that it rains at most 2 days is 0.00005995233

<h3>The mean</h3>

This is calculated as:

Mean = np

So, we have:

Mean = 7 * 92%

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Hence, the mean is 6.44

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This is calculated as:

σ = √np(1 - p)

So, we have:

σ = √7 * 92%(1 - 92%)

Evaluate

σ = 0.718

Hence, the standard deviation is 0.718

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We have:

σ = 0.718

Square both sides

σ² = 0.718²

Evaluate

σ² = 0.516

This represents the variance

Hence, the variance is 0.516

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