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Romashka [77]
3 years ago
14

What is bigger three fourths or two thirds

Mathematics
2 answers:
kvasek [131]3 years ago
4 0
3/4 Is bigger because it takes up a greater part of the fraction. Turn it into a 100% for these simple fractions. 100 divided by 4 is 25%. 25% Times 3 is 75%. 2/3 Is 33% per third. 33% times 2 is 66%.
Tpy6a [65]3 years ago
4 0
Least common multiple of 4 and 3 = 12
4 x 3 = 12
3 x 4 = 12
3/4 = 3 x 3/4 x 3 = 9/12
2/3 = 2 x 4/3 x 4 = 8/12

9/12 (3/4) > 8/12 (2/3)

Therefore, 3/4 is bigger than 2/3

Answer: two thirds

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den301095 [7]

Answer:

2.49 mi

Step-by-step explanation:

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(16x^1/6y^-2)^3/2 / (x^-1/6y^6)^3/2

=(4^2)^3/2 (x^1/6)^3/2 (y^-2)^3/2 / (x^-1/6)^3/2(y^6)^3/2
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8 0
3 years ago
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
If $315 is invested at an interest rate of 3% per year and is compounded continuously, how much will the investment be worth in
irina [24]

Answer:

\$412.64

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=9\ years\\ P=\$315\\ r=0.03  

substitute in the formula above  

A=\$315(e)^{0.03*9}=\$412.64

3 0
3 years ago
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