What is 0.24 as a fraction in lowest terms

You can write an equation in which the amount charged by bank a is equal to the amount charged by bank b. The amount bank a charges is 6 plus 0.10 for the number of checks written and the amount bank b charges is 5.20 for the number of checks written.

6+0.10x=5.20x, where x is the number of checks written

Now, you can solve for x to find the number of checks written where the two banks charge the same amounts in fees:

6=5.20x-0.10x

6=5.10x

x=6/5.10

x=1.17

According to this, the answer is that a person needs to write each month 1.17 checks for the two banks to charge the same amounts in fees.

8 0

3 years ago

At lavernes swimwear there are 6 bikini styles and 2 other types of swimsuit what percent of the swimsuit styles are bikinis?

ELEN [110]

Answer:

33.33%

Step-by-step explanation:

6 bikini styles and 2 other types

so, total types is 3

so, bikinis is only 1 of the 3, which is 1/3 or 33.33%

6 0

4 years ago

Read 2 more answers

An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers t

gregori [183]

Answer:

probability that all of the sprinklers will operate correctly in a fire: 0.0282

Step-by-step explanation:

In order to solve this question we will use Binomial probability distribution because:

In the question it is given that the sprinklers activate correctly or not independently.
The number of outcomes are two i.e. sprinklers activate correctly or not.

A binomial distribution is a probability of a success or failures outcomes in an repeated multiple or n times.

Number of outcomes of this distributions are two.

The formula is:

b(x; n, P) = $C_{n,x}*p^{x} * (1 - p)^{n-x}$

b = binomial probability also represented as P(X=x)

x =no of successes

P = probability of a success on a single trial

n = no of trials

$C_{n,x}$ is calculated as:

$C_{n,x}$ = n! / x!(n – x)!

= 10! / 10!(10-10)!

= 1

According to given question:

probability of success i.e. p = 0.7 i.e. probability of a sprinkler to activate correctly.

number of trials i.e. n = 10 as number of sprinklers are 10

To find: probability that all of the sprinklers will operate correctly in a fire

X = 10 because we have to find the probability that "all" of the sprinklers will operate correctly and there are 10 sprinklers so all 10 of them

So putting these into the formula:

P(X=x) = $C_{n,x}*p^{x} * (1 - p)^{n-x}$

= C₁₀,₁₀ * 0.7¹⁰ * (1-0.7)¹⁰⁻¹⁰

= 1 * 0.0282 * (0.3) ⁰

= 1 * 0.0282 * 1

P(X=x) = 0.0282

5 0

3 years ago