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IRISSAK [1]
3 years ago
14

What is the inverse of the function f(x) = 2x – 10?

Mathematics
2 answers:
VikaD [51]3 years ago
8 0
y = 2x-10 switch x and y x = x = 2y-10 then solve for y 2y = x+10 y = (½)x+5 f⁻¹(x) = (½)x+5 Hope this helps and leave a rate, thanks and brainliest to help me reach expert ;)
arsen [322]3 years ago
5 0
Your answer is f^-1(x)=5+x/2
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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
Write the fraction in lowest terms.<br> 14/37
eimsori [14]
That’s as low as it goes So that’s ur answer
14/37
5 0
3 years ago
Will mark brainliest pleassse help someone
Morgarella [4.7K]

Check the picture below.

\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=&area~of\\ &its~base\\ h=&height\\ \cline{1-2} B=&\stackrel{9\times 9}{81}\\ h=&10 \end{cases}\implies V=\cfrac{1}{3}(81)(10)\implies V=270

6 0
3 years ago
Which compound inequality could be represented by the graph? -5 4 -3 -1 0 4 0 X5 3 or x&gt;-1​
AveGali [126]

_44_3_10 4 0 ×53 ×<9 =02947</245

8 0
3 years ago
Felicity bought 3 shirts for $15 each and a pair of shoes for $25. Felicity used this equation to find x, the amount of money sh
torisob [31]

Answer:

x= 70

Step-by-step explanation:

In this question you have to use BODMAS. This indicates that you have to do the equation in the brackets first. Therefore, 3x15= 45. Then you add 25, which will give you 70.

8 0
2 years ago
Read 2 more answers
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