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3 years ago

How is 0.025 (25 repeating) written as a fraction in simplest form?

Mathematics

2 answers:

Anna007 [38]3 years ago

8 0

Your answer is 1/40. Have a great day.

Nata [24]3 years ago

4 0

1/40 would be your answer.

Step 1: 0.025 = 25⁄1000
Step 2: Simplify 25⁄1000 = 1⁄40

I hope this helps you! Good luck. :)

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Suppose that events E and F are independent, P(E)equals=0.40.4, and P(F)equals=0.90.9. What is the Upper P left parenthesis

Dominik [7]

Answer:

The probability of E and F is 0.367236 ≅ 0.367

Step-by-step explanation:

* Lets study the meaning independent probability

- Two events are independent if the result of the second event is not

affected by the result of the first event

- If A and B are independent events, the probability of both events

is the product of the probabilities of the both events

- P (A and B) = P(A) · P(B)

* Lets solve the question

- There are two events E and F

- E and F are independent

- P(E) = 0.404

- P(F) = 0.909

∵ Events E and F are independent

- To find P(E and F) find the product of P(E) and P(F)

∴ P (E and F) = P(E) · P(F)

∵ P(E) = 0.404

∵ P(F) = 0.909

∴ P(E and F) = (0.404) · (0.909) = 0.367236 ≅ 0.367

* The probability of E and F is 0.367236 ≅ 0.367

8 0

3 years ago

$500 is invested at 6%annual interest, compounded quarterly. When will the balance double?

Setler [38]

Answer: 48 quarters or 12 years

Step-by-step explanation:

You can use the Rule of 72 to estimate the amount of time it will take for an investment to double.

It works by dividing 72 by the interest rate per period.

The rate here is 6% but this is an annual rate yet the interest is to be compounded quarterly. You need to convert this annual rate to a quarterly rate:

= 6% / 4

= 1.5% per quarter

The amount of time it will take to double is:

= 72 / 1.5

= 48 quarters

In years that would be:

= 48 / 4

= 12 years

6 0

3 years ago

On his outward journey, Ali travelled at a speed of s km/h for 2.5 hours. On his return journey, he increased his speed by 4 km/

den301095 [7]

Answer:

3.08 km/h.

Step-by-step explanation:

We know that,

$Speed=\dfrac{Distance}{Time}$

Ali traveled at a speed of s km/h for 2.5 hours.

Let d be the distance and t be the time.

$2.5=\dfrac{d}{t}$

$2.5t=d$ ...(1)

On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.

$4=\dfrac{d}{t-15}$

$4(t-15)=d$ ...(2)

From (1) and (2), we get

$4(t-15)=2.5t$

$4t-60-2.5t=0$

$1.5t=60$

$t=40$

Put t=40 in (1).

$d=2.5(40)=100$

So, t=40 and d=100.

Now,

Total distance = d + d = 100 + 100 = 200

Total time = t + t - 15 = 40 + 40 - 15 = 65

So, the average speed is

$\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}$

$\text{Average speed}=\dfrac{200}{65}$

$\text{Average speed}\approx 3.08$

Therefore, the average speed is 3.08 km/h.

3 0

4 years ago

Calculate the volume inside the hemisphere

Nuetrik [128]

Answer:

Step-by-step explanation:

hnnunuun

ununumim

mimomimumuumuu

8 0

3 years ago

Jose's Bikes rents bikes for $14 plus $3 per hour. Heather paid $38 to rent a bike. For how many hours did she rent the bike?

Nady [450]

Answer:

8 hours

Step-by-step explanation:

14 + 3x =38

-14 -14

--------------------

3x = 24

---- ----

3 3

--------------------

x = 8

4 0

3 years ago