All categories

3 years ago

I need help with this problem

Mathematics

1 answer:

Lana71 [14]3 years ago

5 0

Hello!

To solve this, first isolate the problematic part, or .1313....

First, set .13333... equal to x. Then, find 10x. 10x = 1.333333.... Finally, find 100x. 100x = 13.33333...

Now, subtract 10x from 100 x.

100x - 10x = 13.33333... - 1.33333...

90x = 12

Now, divide both sides by 90.

x = 12/90

x = 2/15

Adding in the 1 again, you get 2/15 + 15/15, or 17/15.

Hope this helped!

You might be interested in

Mr. and Mrs. Carlo want to buy a new car, but they do not have enough money in their bank account to pay the entire cost after t

sweet-ann [11.9K]

The answer is B. They get a loan and pay each month, because then they have time to get the money to pay it back while still getting the car.

6 0

3 years ago

In 1898 L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data collected over 20 years to show that

attashe74 [19]

Answer:

(a) The probability of more than one death in a corps in a year is 0.1252.

(b) The probability of no deaths in a corps over 7 years is 0.0130.

Step-by-step explanation:

Let <em>X</em> = number of soldiers killed by horse kicks in 1 year.

The random variable $X\sim Poisson(\lambda = 0.62)$ .

The probability function of a Poisson distribution is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...$

(a)

Compute the probability of more than one death in a corps in a year as follows:

P (X > 1) = 1 - P (X ≤ 1)

= 1 - P (X = 0) - P (X = 1)

$=1-\frac{e^{-0.62}(0.62)^{0}}{0!}-\frac{e^{-0.62}(0.62)^{1}}{1!}\\=1-0.54335-0.33144\\=0.12521\\\approx0.1252$

Thus, the probability of more than one death in a corps in a year is 0.1252.

(b)

The average deaths over 7 year period is: $\lambda=7\times0.62=4.34$

Compute the probability of no deaths in a corps over 7 years as follows:

$P(X=0)=\frac{e^{-4.34}(4.34)^{0}}{0!}=0.01304\approx0.0130$

Thus, the probability of no deaths in a corps over 7 years is 0.0130.

6 0

3 years ago

The price of a gym membership has a one-time sign-up fee and a monthly fee. The price can be modeled by the function y = 10x + 1

monitta

15; it represents the one-time sign-up fee

The y-intercept can be found either on the graph where the line intercepts the y-axis, or b in the equation y=mx+b.

It represents the fee because it will be charged even if the number of months (x) is zero. 10 is the monthly fee because it is multiplied by x, the number of months.

8 0

3 years ago

Read 2 more answers

If 2×2=4 and 4×4=8. What is 8×8?

Oxana [17]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A new app was download 175 times in the first week. Since then the number of downloads has increased continuously by 16.5% each

julia-pushkina [17]