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Vilka [71]
2 years ago
9

Please help!! Thank you!!!!

Mathematics
2 answers:
Dmitry_Shevchenko [17]2 years ago
7 0
Sec one on your computer
Julli [10]2 years ago
5 0

Answer:

total cost = 10 • months + 100

Step-by-step explanation:

The $100 application fee is extra, only needed to pay once. The $10 per month is multiplication. $10 • the number of months.

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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
The surface area is the amount a solid can hold.<br><br> True<br> False
sveticcg [70]
This statement is false.

What you described is the volume of a solid. The surface area is the outermost layer of something or the outside part of it.
7 0
3 years ago
Read 2 more answers
(2x² + 3x + 2)-( x² - 4x - 1)
Scorpion4ik [409]

Answer:69

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Lesson 5: Lines and Triangles Geometry A Unit 4: Parallel and Perpendicular Lines
aev [14]
The Triangle Sum Theorem states that the sum of the angles of a triangle equal 180°. 
Therefore,
45° + 62° + k = 180
   107°      + k = 180
                   k  = 73°
The value of k is 73°
3 0
3 years ago
Read 2 more answers
In the following system of equations, determine whether the system has a unique
Rina8888 [55]

Answer:

the system has a unique solution

Step-by-step explanation:

Start with an equation of a line in standard form,

ax + by = c

Solve it for y to put it into the slope-intercept form:

by = -ax + c

y = -\dfrac{a}{b}x + \dfrac{c}{b}

The slope is -a/b.

Now look at your system of equations. The slope of the first equation is -a/b = -2/3. The slope of the second equation is -a/b = -6/5.

You have a system of two linear equations with two lines with different slopes, so the lines must intersect at a single point.

Answer: the system has a unique solution

5 0
3 years ago
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