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PSYCHO15rus [73]
2 years ago
15

2. Find the Perimeter AND Area of the figure below. 5 in. 6 in. 8 in. 9 in.

Mathematics
1 answer:
Katena32 [7]2 years ago
5 0
Area: 64 in.
Perimeter: 102 in.
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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
Wha is the nth term of 2 5 8 11 14
djyliett [7]
If you look at the sequence, you would observe:

5 - 2 = 3, 8 - 5 = 3, 11 - 8 = 3.

There is a common difference of 3, so the sequence is an Arithmetic Progression.

nth term of an AP =   a + (n - 1)d

where a = 1st term = 2, d = common difference = 3

nth term of an AP =   a + (n - 1)d

nth term of an AP =   2 + (n - 1)*3 = 2 + 3*n  - 3*1 = 2 + 3n - 3

=  2 - 3 + 3n

= -1 + 3n

= 3n - 1

The nth term =  3n - 1,  where n = 1, 2, 3, 4, 5,....

I hope this explains it.
5 0
3 years ago
Find x. Captionless Image 4 6 15 8
katrin [286]

Answer:

there is no picture

Step-by-step explanation:

sorry

6 0
3 years ago
Which is closer to 0 3/8 or -1/3
Anni [7]

Answer:

-1/3 is closer to 0

Step-by-step explanation:

3/8 is between 0 and -1/3. We need to determine if 3/8 is closer to -1/3 or closer to zero. Since -1/3 is smaller than 3/8, 3/8 is closer to -1/3. Since 3/8 is closer to -1/3, 3/8 rounded to the nearest -1/3 is -1/3.

3 0
3 years ago
Plz help me i will give brainliest to u and five stars and like
lianna [129]

Answer:

20 1/4 or 6 3/4

Step-by-step explanation:

depending if you multiply 4 1/2 by 4 1/2 or 4 1/2 times 1 1/2

4 0
3 years ago
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