Ok well you would use pathagorean there so A2+B2=C2
Answer:
{
x
∣
x
>
1
} or x
∈
(
1
,
∞
)
Step-by-step explanation:
2
x
+
3
>
7
⇒
2
x
>
4
(subtract 3 from both sides)
2
x
+
3
>
7
⇒
x
>
2
(divide both sides by 2)
2
x
+
9
>
11
⇒ 2
x
>
2
(subtract 9 from both sides)
2
x
+
9
>
11
⇒
x
>
1
(divide both sides by 2)
if an x
-value is greater than 2, it will automatically be greater than 1. Thus, the solution set for 2
x+
3
>
7 is a subset of the one for 2
x
+
9
>11
.That means, all we need to do here is list the solution set for 2
x
+
9
>
11
, and we're done.
The solution set we need is simply "all x such that x is greater than 1", or {
x
∣
x
>
1
}
or
x
∈
(
1
,
∞
)
The area of the square in terms of x is 16x² - 8x + 1
Step-by-step explanation:
The formula of the area of a square is A = L², where L is the
length of its side
∵ The length of a side of a square is 4x - 1
∴ L = (4x - 1)
∵ The area of the square is A = L²
∴ A = (4x - 1)²
To solve bracket power 2
- Find (1st term)²
- Find (1st term × 2nd term × 2)
- Find (2nd term)²
- Add all the answers
The first term is 4x and the second term is -1
∵ (4x)² = 16x²
∵ (4x)(-1)(2) = -8x
∵ (-1)² = 1
∴ (4x -1)² = 16x² + -8x + 1
∴ (4x -1)² = 16x² - 8x + 1
∴ A = 16x² - 8x + 1
The area of the square in terms of x is 16x² - 8x + 1
Learn more:
You can learn more about the area of figures in brainly.com/question/4599754
#LearnwithBrainly
Answer:
a) Figure attached
b)
c)
d)
Step-by-step explanation:
2 hr = 120 min
2hr 20 min = 120+20 = 140 min
Let X the random variable that represent "flight time". And we know that the distribution of X is given by:
For this case the density function for A is given by:
And for other case
Part a
For this case we can see the figure attached. We see that the probability density function is defined between 120 and 140 minutes.
Part b
The arrival time is 2hr 5 min = 125 min. So then 5 minutes leate means 130 min
For this case we want to find this probability:
And we can use the cumulative distribution function for X given by:
And if we use this formula we got:
Part c
For this case more than 10 minutes late means 125 +10 = 135 min or more, so we want this probability:
And using the complement rule we have:
Part d
The expected value for the uniform distribution is given by:
Answer: 9.30918
Step-by-step explanation: