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3 years ago

41. Where's the bus? Sally takes the same bus to work

1 answer:

4 0

The density function of a continuous random variable X is called a uniform distribution when between the end points any two subintervals of the same length containing X have the same probability.

Mathematically,

f(x)= 1/b-a , a≤ x ≤ b

= 0 , elsewhere

She will have to 28% of the days between 2.5 and 5.3 minutes for bus.

The 70th percentile of Sally's wait is 7 minutes.

1) The percent can be found out from the area of the rectangular region where the base is in minutes.

Area = bh=1/10 (5.3-2.5)= 2.8/10= 0.28 = 28%

∫f(x)dx= ∫1/b-a (lim a→b)[x]= 1/10 (5.3-2.5)= 2.8/10= 0.28 = 28%

2) The 70th percentile can be found by using the same density function

∫f(x)dx= ∫1/b-a (lim a→b) [x]= 1/10 (7minutes)= 7/10= 0.7 = 70%

For more understanding click

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Please help and show all work.

Stels [109]

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3 years ago

Px + qy = r<br> 2px - qy = 2r<br> When solving this system of equations, x =

VladimirAG [237]

Px + qy = r
2px - qy = 2r
----------------add
3px = 3r

x = 3r/3p
x = r/p

8 0

4 years ago

Read 2 more answers

Which option below demonstrates the correct interval notation for a

Vladimir [108]

The correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.

<h3>What is interval notation?</h3>

It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close bracket the close the brackets means the value is at the close bracket also included, and open bracket means the value at the open bracket does not include.

We have:

Continuous set of all numbers between 5 and 6, including 5, but not including 6.

From the above statement we can represent the number in the interval notation:

The numbers are between 5 and 6.

(5, 6)

As it is mentioned that 5 is included and 6 is not included, then:

[5, 6)

Thus, the correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.

Learn more about the interval notation here:

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#SPJ1

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7Bx%20%2B%202%7D%20%20-%20%20%7B3%7D%5E%7Bx%7D%20%20%3D%20%20%5Cfrac%7B8%7D%7B9%

ser-zykov [4K]

$3^{x + 2}$ - $3^{x}$ = $3^{x}$ * $3^{2}$ - $3^{x}$ = 9( $3^{x}$ ) - 1( $3^{x}$ ) = 8( $3^{x}$ )

$3^{x + 2}$ - $3^{x}$ = $\frac{8}{9}$

⇒ 8( $3^{x}$ ) = $\frac{8}{9}$

⇒ $3^{x}$ = $\frac{1}{9}$ <em>multiplied both sides by 8</em>

⇒ $3^{x}$ = $\frac{1}{3^{2} }$

⇒ $3^{x}$ = 3⁻²

⇒ x = -2

Answer: x = -2

6 0

3 years ago

How to do this problem??

lorasvet [3.4K]

We know that the sum of the inner angles of any triangle is 180º

72º + (7x + 3)º + (3x + 5)º = 180º
72º + 7xº + 3º + 3xº + 5º = 180
7xº + 3xº = 180º - 72º - 3º - 5º
10xº = 100º
$x^0 = \frac{100^0}{10^0}$
$x^0 = 10\to\:\boxed{\boxed{x = 10^0}}\end{array}}\qquad\quad\checkmark$

The sum of the external angle (9y + 1)º with inner angle (3x + 5) = 180 °, <span>Replace the measure of "x" found:
</span>
(9y + 1)º + (3x + 5)º = 180º
9yº + 1º + 3xº + 5º = 180º
9yº + 1º + 3.(10)º + 5º = 180º
9yº + 1º + 30º + 5º = 180º
9yº = 180º - 1º - 30º - 5º
9yº = 144º
$y^0 = \frac{144^0}{9^0}$
$y^0 = 16\to\:\boxed{\boxed{y = 16^0}}\end{array}}\qquad\quad\checkmark$

Answer:
<span>The measures of "x" and "y" are respectively: 10º and 16º</span>

6 0

3 years ago