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saw5 [17]
3 years ago
11

What does the notation f prime of x mean?

Mathematics
1 answer:
EleoNora [17]3 years ago
8 0
F ' (x) represents the derivative of a function. Primarily used in calculus, the derivative is the rate of change on a nonlinear system. 
If you recall from linear algebra, lines have a slope, as they have a constant rate of change (and the slope was defined as 'm' in y=mx+b). 
Curved systems (like parabola and other complex functions) have varying rates of change, requiring the use of the derivative of a function.
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Write -1/9 + 10x - 2x^3 + x^5 - x ^4 in standard form
matrenka [14]
X^5 - x^4 - 2x^3 + 10x - 1/9 is the standard form
5 0
3 years ago
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Can someone help me with this I just need the equation.
murzikaleks [220]

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5 0
3 years ago
An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.
MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years,  there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is \frac{21}{3000000}==0.000007.

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by q.

q=7\times 10^{-6}=0.000007.

So, the probability of survive, p=1-q

\Rightarrow p=1-7\times 10^{-6}=0.999993.

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

=\binom(n,r)p^rq^{n-r}

=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}

=(0.999993)^{48}=0.999664 (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total n skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

0.9=\binom {n }{r} p^rq^{n-r}

Here, r=n.

\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}

\Rightarrow 0.9=p^n

\Rightarrow 0.9=(0.999993)^n

\Rightarrow \ln(0.9)=n\ln(0.999993) [ taking \log_e both sides]

\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}

\Rightarrow n=15051.45

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0
3 years ago
Please Help
Delicious77 [7]
First you want to get h alone so you divide 2<span>π</span>r by s so your answer would be
h=S/2πr


6 0
3 years ago
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What is the value of x?<br> x+10<br> 105
sashaice [31]
X+10=105
105-10=95=x
x = 95
6 0
3 years ago
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