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ExtremeBDS [4]
3 years ago
12

║║║║The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2

+ 5x = 300. What are the measures of the width and the length?║║║
Mathematics
1 answer:
lbvjy [14]3 years ago
3 0
So given l = x+5 and w = x

area represented by equation x^2 +5x = 300

x^2 +5x -300 =0

(x+20)(x-15)=0

x+20 =0
x = -20

x-15=0
x=15

so from these result the width of rectangle equal 15 inches and the length of rectangle equal 20 inches 
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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
Somebody please help me it’s due at 11:59
MakcuM [25]

Answer:

1.24 would be the best option for your question

4 0
2 years ago
K I don't feel like doing this either so.
frutty [35]

Answer: 68 minutes or 1 hour and 8 minutes spent in all putting up the fence

Step-by-step explanation:

(4/5) x 60 = 48 minutes

4/5 is the same as 0.8, which is what you get when you divide four by 5

So, 0.8 x 60 = 48 is also acceptable

Then,

(1/3) x 60 = 20 minutes

1/3 is the same as 0.333333333333, which is what you get when you divided 1 by 3

So, 0.33333(and so on) x 60 = 20

- Typically, you can round 0.3333333 down to something like 0.333 which should give you a similar answer

Then, as it asks you for how much time he spent in all, you add those two together

48 minutes + 20 minutes = 68 minutes  OR 1 hour and 8 minutes (There is sixty minutes in 1 hour, so subtract the 60 from 68 and then you have 8 minutes left, thus 1 hour and 60 minutes)

3 0
2 years ago
PLEASE HELP.
Scorpion4ik [409]

Answer:

200,000 i don't know apologies if it's wrong

Step-by-step explanation:

100,000*.20*10

200,000*10

200,000

3 0
2 years ago
If angle 1 = 10x + 4 and angle 2 = 5x – 4, find angle 2<br> a.)56<br> b.)78<br> c.)12<br> d.)65
Semenov [28]
Angle 1 and 2 are supplementary angles, meaning they must add up to 180°. You can tell this because they share a side and together, their other side forms a straight line (and straight lines are 180<span>°).

Knowing this, you can make an equation to solve for x:
Angle 1 + Angle 2 = 180</span><span>°
</span>10x + 4 + 5x – 4 = 180°
15x = 180°
x = 12°

Knowing x = 12°, you can plug the value of x into the equation for angle 2 to find its measurement:
<span>Angle 2 = 5x – 4
</span>Angle 2 = 5(12°) - 4
Angle 2 = 56°

--------

Answer: A) 56°
8 0
3 years ago
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