Translate the following from words to an algebraic expression or equation,

An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholde

kherson [118]

Answer:

Step-by-step explanation:

Given that X is the number of months between successive payments

Cumulative distribution function of X is

$F(x) =0, x$

a) PMF of x would be

$P(x) =0, x$

b) $P(3 ≤ X ≤ 6) =0.86-0.44=0.42\\ P(4 ≤ X)=1-0.44=0.56\\P(3 < X < 6) =0.6\\P(4 < X) =1-0.48=0.52$

4 0

2 years ago

Please help me!

slava [35]

1/6·30=5
so your answer is b)5

8 0

2 years ago

Read 2 more answers

The shape of the clock is a regular dodecagon with a radius of 14cm. Centered on the clock's face is a green circle of radius 9c

faust18 [17]

The area of a dodecagon is 1/2aP
where:
a-apothem
P-perimeter

In the figure you will draw a point to any side and make a line perpendicular from a center to that side. Then if u think u can see that with only one draw of a hypotenuse can form a triangle. Then after drawing the hypotenuse which has 2 triangles, make the top angle of 1 triangle there are 30 degrees. On the down part is perpendicular and the left or the right is the 60 degrees. After that using special right triangles like the 30, 60, 90,. Then at the base of the one it bisected dived them by 2 for the 2 triangle's base. After that solve using it since the radius is 14. The apothem is 14(sqrt of 3). So after solving them the perimeter of each dodecagon is 12 sided so 14x12 is 168

A=1/2aP
A=1/2(14)(sqrt of 3)(168)
A=1176(sqrt of 3)

Thats the area of the dodecagon now the circle

A=(pi)r^2
A=(pi)(9)^2
A=81pi

Therefore the color purple is greater than the color green

8 0

2 years ago

In a box, 1/4 of the beads are red, 3/5 of the remainder are yellow, and the rest are blue. If there are 48 blue beads, how many

Andrei [34K]

Answer:

160 total beads

Step-by-step explanation:

so if 1/4 of the beads are red, then 3/4 of them are not.....so 3/4 is the remainder of beads.....and 3/5 of the remainder are yellow....so 3/5 of 3/4 =

3/5 * 3/4 = 9/20...so 9/20 are yellow.....and the rest (48) are blue.

1/4 + 9/20 = 5/20 + 9/20 = 14/20 reduces to 7/10...so 7/10 of the beads are red and yellow

so if 7/10 of the beads are red and yellow, then 3/10 are blue

3/10 of what number is 48

3/10x = 48

x = 48 * 10/3

x = 480/3

x = 160

let me check it..

1/4 are red......160 total beads.....so red beads = (1/4 * 160) = 160/4 = 40

3/5 of the remainder is yellow.....so 3/5 of (160 - 40) = 3/5(120) = 72 yellow

and then u have 48 blue...

40 + 72 + 48 = 160

so there are 160 total beads.......40 red, 72 yellow, and 48 blue <===

6 0

2 years ago

A rectangular box has a square base. The combined length of a side of the square base, and the height is 20 in. Let x be the len

aniked [119]

Answer:

a. V = (20-x) $x^{2}$ $in^{3}$

b . 1185.185 $in^{3}$

Step-by-step explanation:

Given that:

The height: 20 - x (in )
Let x be the length of a side of the base of the box (x>0)

a. Write a polynomial function in factored form modeling the volume V of the box.

As we know that, this is a rectangular box has a square base so the Volume of it is:

V = h * $x^{2}$ $in^{3}$

<=> V = (20-x) $x^{2}$ $in^{3}$

b. What is the maximum possible volume of the box?

To maximum the volume of it, we need to use first derivative of the volume.

<=> dV / Dx = -3 $x^{2}$ + 40x

Let dV / Dx = 0, we have:

-3 $x^{2}$ + 40x = 0

<=> x = 40/3

=>the height h = 20/3

So the maximum possible volume of the box is:

V = 20/3 * 40/3 *40/3

= 1185.185 $in^{3}$

7 0

2 years ago