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Vadim26 [7]
3 years ago
9

Evaluate.

Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
5 0

Answer:

-58

Step-by-step explanation:

-|123+(-1)|/2-(-3)

-|122|/2-(-3)

-122/2-(-3)

-61-(-3)

-58

nataly862011 [7]3 years ago
3 0
-58 because l123+(-1) is 122. 122 divided by 2 is 61. 61 - 3 = 58.
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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

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(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)}

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3 0
3 years ago
Which of these is an exponential parent function?  A. f(x) = 2^x – 3  B. f(x) = 2^x + 2  C. f(x) = 2^x  D. f(x) = 2^x + 1/3
anygoal [31]

An exponential parent function is the option C. f(x)= 2^{x}, from the given options.

What do you mean by exponential parent function?

The formula for their parent function is y = b^{x}, where b is any non zero constant. Below is a graph of the parent function, y = e^{x}, which demonstrates that it will never equal 0. And at y = 1 when x = 0, y crosses the y-axis.

According to options in the given question,

We have the option below in the given question:

A. f(x) = 2^x – 3 

B. f(x) = 2^x + 2 

C. f(x) = 2^x 

D. f(x) = 2^x + 1/3

We know from the above definition that the option C. is the right answer to the given question.

Therefore, the exponential parent function is f(x)= 2^{x}.

To learn more about exponential parent function, visit:

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4 0
1 year ago
A rectangle has an area of 40 sq units , then length is 6 units greater than the width
devlian [24]

Answer:

A=L*W

Let w be width

L=(w+6)

40=(w+6)*w

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w^{2} +6w-40=0

w^{2}+10w-4w-40=0  

w(w+10)-4(w+10)=0

(w-4)(w+10)=0

w=4

Length= 10 units

Width=4 units

Step-by-step explanation:

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3 years ago
Conver the equation y=2 to polar form. Then solve the resulting equation for r. <br> Thanks :)
maksim [4K]
This is something to memorize

y = r*sin(theta)

so if y = 2, then 

2 = r*sin(theta)

Divide both sides by sin(theta) to get

r = 2/sin(theta)
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3 years ago
The equation y ̂=844.697x^2+3723.485x-13,650 models the annual profits of a new business, where x is the number of years since t
julsineya [31]
The answer is $37,923

<span>y = 844.697x^2 + 3723.485x - 13,650
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y - the annual profit

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y = 54,060.608 + 16,137.88
y = 37,922.728 ≈ 37,923
5 0
3 years ago
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