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Oduvanchick [21]
3 years ago
8

What is f(5) if f(1)=3.5 and f(x+1)=5\2 f(x)

Mathematics
1 answer:
katen-ka-za [31]3 years ago
4 0

Answer:

f(5) = 136.71875‬

Step-by-step explanation:

f(5) if f(1)=3.5 and f(x+1)=5\2 f(x)

f(2) = (5/2)* f(1) = (5/2)* 3.5  = 8.75

f(3) = (5/3)*f(2) =(5/2) * 8.75

f(4) = (5/3)*f(3) =(5/2)*(5/2) * 8.75

f(5) = (5/3)*f(4) = (5/3)*(5/2)*(5/2) * 8.75

f(5) = (5/2)^4  * 3.5 = (625/16) * 3.5 = 136.71875‬

f(5) = 136.71875‬

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Answer:

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Step-by-step explanation:

The slope is the ratio of the vertical difference between two points to the horizontal difference. This ratio is often referred to as "rise over run."

From the point (-2, -1) to the point (2, 7), the rise is 7-(-1) = 8, and the run is 2-(-2) = 4. The ratio of these numbers is ...

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<em>Check</em>

The graph rises 2 units for a run of 1 unit, confirming this calculation.

7 0
3 years ago
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In a pizza takeout restaurant, the following probability distribution was obtained for the number of toppings ordered on a large
Elis [28]

Answer:

The random variable (number of toppings ordered on a large pizza) has a mean of 1.14 and a standard deviation of 1.04.

Step-by-step explanation:

<em>The question is incomplete:</em>

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<em>x   P(x) </em>

<em> 0   0.30 </em>

<em>1    0.40 </em>

<em>2   0.20 </em>

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<em>4   0.04</em>

The mean can be calculated as:

M=\sum p_iX_i=0.3\cdot 0+0.4\cdot 1+0.2\cdot 2+0.06\cdot 3+0.04\cdot 4\\\\M=0+0.4+0.4+0.18+0.16\\\\M=1.14

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The standard deviation is calculated as:

s=\sqrt{\sum p_i(X_i-M)^2}\\\\s=\sqrt{0.3(0-1.14)^2+0.4(1-1.14)^2+0.2(2-1.14)^2+0.06(3-1.14)^2+0.04(4-1.14)^2}\\\\s=\sqrt{0.3(-1.14)^2+0.4(-0.14)^2+0.2(0.86)^2+0.06(1.86)^2+0.04(2.86)^2}\\\\ s=\sqrt{0.3(1.2996)+0.4(0.0196)+0.2(0.7396)+0.06(3.4596)+0.04(8.1796)}\\\\s=\sqrt{0.3899+0.0078+0.1479+0.2076+0.3272}\\\\ s=\sqrt{ 1.0804 }\\\\s\approx 1.04

3 0
3 years ago
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Answer:

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Answer:

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3 years ago
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