A CD player is advertised at a price of $1200. It could be bought cash or by hire purchase. The table below shows the terms of payment.

Answer:

The quartile 3 is 0.3

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

X~Exp (0.2)

This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]

Find the quartile 3.

The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]

Since

[tex]P(X > x) = e^{-\mu x}[/tex]

[tex]e^{-5x} = 0.25[/tex]

[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]

[tex]-5x = \ln{0.25}[/tex]

[tex]x = -\frac{\ln{0.25}}{5}[/tex]

[tex]x = 0.277[/tex]

Rounding to the nearest tenth, the quartile 3 is 0.3.

Answer:

2x-15=15

where x=15

2(15)-15=15

30-15=15

Answer:

2x-15=15

where x=15

2(15)-15=15

30-15=15

Answer:

6 days

Step-by-step explanation:

Answer:

6 days

Step-by-step explanation:

1 day=1/2

2 day=1

3 day=1 and 1/2

4 day=2

5 day=2 and 1/2

6 day=3

hope this helps :)

Answer:

15

Step-by-step explanation:

x=2,z=6

2+6(4)-5-3(2)

2+24-5-6

26-11

15

x = 2 & z = 3x

0Answer: 9.0

Step-by-step explanation:

.

Answer:

16m

Step-by-step explanation:

radius is half of diameter​

Answer:

if the slope is 0, it is horizontal. and remember, m is the slope. (0)

Step-by-step explanation:

x is 9, y is 5.

slope intercept form is y=mx+b, so you plug in the numbers.

5= 0*9+5

or, 5=5

Answer:

none of those?

Step-by-step explanation:

4(-2c) = -8c

Answer:    -9c

Step-by-step explanation:

4(-2c) - c

= -8c - c

= -9c  

-9c is the answer

Answer:

13/3

OR

4.33333

Step-by-step explanation:

For this function to be continuous, the second function must have the value of the limit as x approaches 3 of the first function.

To find [tex]\lim_{x \to 3} \frac{2x^2-3-15}{x-3}[/tex] we have to factor the top of the fraction

2x^2 - 3 -15

2x^2 - 18

2* (x^2 - 9)

2 * (x + 3) (x - 3)

this is perfect because this cancels out the x - 3 on the bottom

so the function become f(x) = 2 * (x + 3)

When 3 is plugged in it becomes 2 * (3 + 3) = 2 * 6 = 12

Now if you plug in 3 to the second function and make it equal to 12, you can find the value of k.

k*(3) - 1 = 12

k*3 = 13

k = 13/3

k = 4.33

It was so easy xD

its x=1

y=12×1+7

y=-6×1+25

=19

Answer:

small is 0.018

medium is 0.016

large is 0.010

Answer:

32%

Step-by-step explanation:

Let x be the mean of the values and σ their standard deviation.

Since the minimum value of the diameter of the washers is 1.53 mm, then

x - σ = 1.53 mm  (1)

Also, the maximum value of the diameter of the washers is 1.65 mm, then

x + σ = 1.65 mm  (2)

Adding (1) and (2), we have

x - σ = 1.53 mm

+

x + σ = 1.65 mm  

2x = 3.18

x = 3.18/2

x = 1.59 mm

Subtracting (1) and (2), we have

x - σ = 1.53 mm

-

x + σ = 1.65 mm  

-2σ = -0.12

σ = -0.12/-2

σ = 0.06 mm

Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%

This question is based on the percentage. Thus, 32%  of washers will the factory have to discard.

Given:

The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.

We need to determined the percentage of washers will the factory have to discard.

According to question,

Let x be the mean and σ be their standard deviation.

The minimum value of the diameter of the washers is 1.53 mm.

Then,

x - σ = 1.53 mm  (1)

Also, the maximum value of the diameter of the washers is 1.65 mm, then

x + σ = 1.65 mm  (2)

Adding (1) and (2), we have

   x - σ = 1.53 mm  

+  x + σ = 1.65 mm  

⇒ 2x = 3.18

We get,

x = 1.59 mm

Subtracting (1) and (2), we have

 x - σ = 1.53 mm

- x + σ = 1.65 mm  

⇒ -2σ = -0.12

We get,

σ = 0.06 mm

Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.

And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.

Thus, 32%  of washers will the factory have to discard.

For more details, prefer this link:

https://brainly.com/question/13703753

Answer: 9/(1+2)

Hope it helps :)

Answer:

Expression that represents the sale price of the wedding dress is  

Solution:

Given that, the dress is on sale for 35 % off the regular price

Let the regular price of dress be "w"

To find: Expression that represents the sale price of the wedding dress

Let "s" be the sale price of wedding dress

Sale price = Regular price - discount price

Discount price is given as:

Discount price = 35 % of regular price

Discount price = 35 % of w  

Thus discount price = 0.35w

Expression for the sale price of the wedding dress:

Sale price = Regular price - discount price

s = w - 0.35

s = 0.65

s= 0.65

Thus expression that represents the sale price of the wedding dress is

s=0.56

Answer:

Step-by-step explanation:

Answer:

32 people

Step-by-step explanation:     If there are 400 people and there is 8% of that, then first convert 8% to a decimal so its easier to work with. The multiply with 400:

0.08 * 400 = 32

Answer: 32 people have green eyes

Answer:

Step-by-step explanation:

This is a central angel so the degree of the angle is equal to the degree of the arc which is 111.

X+114=111

add negative -114 to each side to get X alone.

-114+X+114= 111+-114

X=-3 .   Answer negative 3

Answer:

Step-by-step explanation:

??What is parallel to a point?

If the cut is parallel to the cut-off point, the cross-section is a rectangle.

12 13 15 15 15 16 19

mean: 15

median: 15

mode: 15

range: 7

Answer:

12, 13, 15, 15, 15, 16, 19

Step-by-step explanation:

Mean: 15

Median: 15

Mode: 15

Range: 7

Answer:

6

Step-by-step explanation:

-3 x (8 + [-10]) =

-3 x (8 - 10) =

-3 x -2 =

6

HOpe that helps!

Answer: 6

Step-by-step explanation:

finding the answer from an equation

replace the values of x and a in the equation:

(-3) * ( 8 + -10)

= (-3) * (-2)

recall :

(-) * (-) = +

hence -3 * -2

= 6

Hope this helps. Can u pls give me brainliest

Answer:

Step-by-step explanation:

Given that the:

Find the volume of the cuboid!

Volume equation =

W × H × L =

5/8 × 2/3 × 3/4 =

(5×2×3)/(8×3×4) =

30/96 =

The volume = 5/16 cubic centimetres

____________________

#IndonesianPride - kexcvi

Answer:

no, exponents are how many times the base is used, it would be 2x2x2... so on until there are 28 2s

Step-by-step explanation:

Answer:

the answer for question 2 is (D)

Answer:

it is A.2/3

Step-by-step explanation:

Answer:

$575

Step-by-step explanation

1150/2 = 575

Answer:

$1150

Step-by-step explanation:

because it is a buy one (for sale price), get one free

Answer:

-1

Step-by-step explanation:

I did it in my review

Answer:

PAMDAS

Step-by-step explanation:

PEMDAS

hope it helps !