PLEASE HELP

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juin [17]

Answer:

2 20/24

Step-by-step explanation:

divide 4/2=2

then do 5/8÷3/4=5/8×4/3=20/24

u basically inverse 3/4

2 20/24

7 0

2 years ago

On average, a person spends $240 every 3 months on their cellphone bill . What would the price for 1 month. How much would this

Elena L [17]

Answer:

$960

Step-by-step explanation:

price of one month = total expense/ number of month

= 240/3= $80

therefore persons annual expenses = 80*12= $960

3 0

2 years ago

How many ways can Mrs. Sullivan choose two

sveta [45]

In 371 ways Mrs. Sullivan choose two students from 27 to help put away calculators at the end of class

Step-by-step explanation:

let us assume that Mrs.Sullivan wants to choose 2 students from a group of 27 students

So ,in the first choice we have 27 students

In the second choice we have 26 choices

So Mrs.Sullivan has = 27 × 26 = 702 ways

But each group repeated twice,in order to avoid that we will divide the answer by 2

so we will write

= 702 ÷ 2 =<u> 351 ways</u>

<u>This method of calculation is called Combination</u>

7 0

3 years ago

9. A large electronic office product contains 2000 electronic components. Assume that the probability that each component operat

Marysya12 [62]

Answer:

97.10% probability that five or more of the original 2000 components fail during the useful life of the product.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it works correctly, or it does not. The probability of a component falling is independent from other components. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 2000, p = 1-0.995 = 0.005$

Approximate the probability that five or more of the original 2000 components fail during the useful life of the product.

We know that either less than five compoenents fail, or at least five do. The sum of the probabilities of these events is decimal 1. So

$P(X < 5) + P(X \geq 5) = 1$

We want $P(X \geq 5)$

So

$P(X \geq 5) = 1 - P(X < 5)$

In which

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

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

$P(X = 0) = C_{2000,0}.(0.005)^{0}.(0.995)^{2000} = 0.000044$

$P(X = 1) = C_{2000,1}.(0.005)^{1}.(0.995)^{1999} = 0.000445$

$P(X = 2) = C_{2000,2}.(0.005)^{2}.(0.995)^{1998} = 0.002235$

$P(X = 3) = C_{2000,3}.(0.005)^{3}.(0.995)^{1997} = 0.007480$

$P(X = 4) = C_{2000,4}.(0.005)^{4}.(0.995)^{1996} = 0.018765$

$P(X < 5) = P(X = 0) + `P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.000044 + 0.000445 + 0.002235 + 0.007480 + 0.018765 = 0.0290$

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.0290 = 0.9710$

97.10% probability that five or more of the original 2000 components fail during the useful life of the product.

4 0

3 years ago

The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $21,000.00, how much was

Salsk061 [2.6K]

Answer

$23,333

Step-by-step explanation:

100% - 10% = 90%

90% = 0.90

21000/.90 = $23,333

7 0

3 years ago