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3 years ago

5.76

Mathematics

1 answer:

Leto [7]3 years ago

8 0

Answer:

the correct order of these from greatest to least is. 228, 35, 5.76

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the sum of two numbers is 104. the larger is one less than twice the smaller number. find the numbers

exis [7]

Answer:

The larger number is 69 and the smaller number is 35.

Step-by-step explanation:

Find the equations. Here x will be the larger number and y will be the smaller number.

x + y = 104

x = 2y -1

Substitute:

(2y -1) + y = 104

3y = 105

y = 35

x = 2(35) - 1

x = 70 - 1

x = 69

The larger number is 69 and the smaller number is 35.

8 0

3 years ago

The probability density function of the time you arrive at a terminal (in minutes after 8:00 A.M.) is f(x) = 0.1 exp(−0.1x) for

Blababa [14]

$f_X(x)=\begin{cases}0.1e^{-0.1x}&\text{for }x>0\\0&\text{otherwise}\end{cases}$

a. 9:00 AM is the 60 minute mark:

$f_X(60)=0.1e^{-0.1\cdot60}\approx0.000248$

b. 8:15 and 8:30 AM are the 15 and 30 minute marks, respectively. The probability of arriving at some point between them is

$\displaystyle\int_{15}^{30}f_X(x)\,\mathrm dx\approx0.173$

c. The probability of arriving on any given day before 8:40 AM (the 40 minute mark) is

$\displaystyle\int_0^{40}f_X(x)\,\mathrm dx\approx0.982$

The probability of doing so for at least 2 of 5 days is

$\displaystyle\sum_{n=2}^5\binom5n(0.982)^n(1-0.982)^{5-n}\approx1$

i.e. you're virtually guaranteed to arrive within the first 40 minutes at least twice.

d. Integrate the PDF to obtain the CDF:

$F_X(x)=\displaystyle\int_{-\infty}^xf_X(t)\,\mathrm dt=\begin{cases}0&\text{for }x$

Then the desired probability is

$F_X(30)-F_X(15)\approx0.950-0.777=0.173$

7 0

3 years ago

Find the value of each variable

Alona [7]

A=3 and B=1. comment if you would like me to explain how I did it.

7 0

3 years ago

Whats 1/3rd of 422 dollars

bearhunter [10]

140.66
you divide $422 by 3 to get $140.66

5 0

3 years ago

Read 2 more answers

ASAP can somebody answer this? SCREEN SHOT OF QUESTION ATTACHED

Natasha2012 [34]

Answer:

A. $(-\infty, -4]\ or\ (2,\infty)$

Step-by-step explanation:

Given:

The inequality is given as:

$x\leq-4\ or\ x>2$

Now, consider the first inequality

$x\leq-4$

Here, 'x' is less than or equal to -4. The values that are less than -4 are -5, -6, -7... so on. The inequality used is 'less than or equal to'. This means that -4 is included in the solution. So, we use a square bracket (closed interval) at the other end.

The inequality in notation form is thus, $(-\infty,-4]$

Now, consider the other inequality $x>2$

The values of 'x' are greater than 2. The values that are greater than 2 are 3, 4, 5... and so on. Also, 2 is not included in the solution. So, we use open interval on either side.

Therefore, $x>2$ in interval notation form is $(2,\infty)$

There is a conjunction 'or' used in the inequality. Therefore, the answer is:

A. $(-\infty, -4]\ or\ (2,\infty)$

The graph on the number line is shown below.

5 0

3 years ago