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2 years ago

PLEASE HELPPPPP!!!! (answer in decimal)

Mathematics

1 answer:

kakasveta [241]2 years ago

4 0

Answer:

$\approx 0.482659$

Step-by-step explanation:

The experimental probability is the chance of an event happening based on data, or rather the experiment results, and not on a theoretical calculation. In essence, a theoretical calculation can be described by the following formula:

$\frac{desired}{total}$

However, the experimental probability can be described with the following formula:

$\frac{number\ of\ desired\ outcomes}{number\ of \ trials}$

The number of trials is the sum of the number of outcomes. In this case, the desired outcome is tails. Therefore, the experimental probability can be described using the following formula:

$\frac{tails}{total}$

One can also rewrite the formula as the following. This is because the total is the sum of the number of the two outcomes:

$\frac{tails}{heads+tails}$

Substitute,

$\frac{167}{167+179}$

Simplify,

$\frac{167}{346}$

Rewrite as a decimal:

$\approx 0.482659$

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Consider the function g(x) = (x-e)^3e^-(x-e). Find all critical points and points of inflection (x, g(x)) of the function g.

Elden [556K]

Answer:

The answer is " $cirtical\ points \ (x,g(x))\equiv (e,0),(e+3,\frac{27}{e^3})$ "

Step-by-step explanation:

Given:

$g(x) = (x-e)^3e^{-(x-e)}$

Find critical points:

$g(x) = (x-e)^3e^{(e-x)}$

differentiate the value with respect of x:

$\to g'(x)= (x-e)^3 \frac{d}{dx}e^{e-r} +e^{e-r} \frac{d}{dx}(x-e)^3=(x-e)^2 e^{(e-x)} [-x+e+3]$

critical points $g'(x)=0$

$\to (x-e)^2 e^{(e-x)} [e+3-x]=0\\\\\to e^{(e-x)}\neq 0 \\\\\to (x-e)^2=0\\\\ \to [e+3-x]=0\\\\\to x=e\\\\\to x=e+3\\\\\to x= e,e+3$

So,

The critical points of $(x,g(x))\equiv (e,0),(e+3,\frac{27}{e^3})$

7 0

3 years ago

If a right angled triangle has 3 sides a,b and c when a=3,b=6 ,what is the value of c?

Nataliya [291]

Answer:

c = 3√5 ≈ 6.708

Step-by-step explanation:

Use the Pythagorean Theorem because this is a right triangle.

a^2 + b^2 = c^2

3^2 + 6^2 = c^2

9 + 36 = c^2

45 = c^2

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2 years ago

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2 years ago

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A penguin walks south it completes the first 1/3 mile in 1/5 hour and continues walking at the same rate. What is the penguins s

vitfil [10]

Answer:

1.67miles/hour

Step-by-step explanation:

Speed of the penguin = Distance/Time taken

Given

Distance = 1/3 mile

Time = 1/5 hour

Substitute the given data into the speed formula;

Speed = (1/3)/(1/5)

Speed = 1/3 * 5/1

Speed = 5/3

Speed = 1.67miles/hour

Hence the penguin speed in mi/hr is 1.67mi/hr

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3 years ago

What is the y intercept of this line y+4=-4(x-2)

Alex_Xolod [135]

Y + 4 = -4 (x - 2)

Y - INTERCEPT:
y + 4 = -4 ((0) - 2)
y + 4 = -4 (-2)
y + 4 = 8
y = 4
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STANDARD FORM:
Ax + By = C
y + 4 = -4x + 8
4x + y + 4 = 8
4x + y = 4

X INTERCEPT:
(0) + 4 = -4 (x - 2)
4 = -4 (x - 2)
4 = -4x +8
-4 = -4x
x = 1
(1, 0)

PERPINDICULAR LINE:
y + (1) = (1/4) (x - (5))
y + 1 = 1/4x - 5/4
-1/4x + y + 1 = -5/4
-1/4x + y = -9/4
x - 4y = 9

X INTERCEPT OF PERPINDICULAR LINE:
x - 4(0) = 9
x - 0 = 9
x = 9
(9, 0)

PARALLEL LINE:
y + (-2) = -4 (x - (0))
y - 2 = -4x + 0
4x + y - 2 = 0
4x + y = 2

ORDERED PAIR FOR PARALLEL LINE:
4(-2) + y = 2
-8 + y = 2
y = 10
(-2, 10)

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3 years ago