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djverab [1.8K]
4 years ago
13

What’s is 8.478 in expanded from

Mathematics
1 answer:
Luba_88 [7]4 years ago
8 0
8 + 0.4 + 0.07 + 0.008
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A 4-pound bag of sugar contains 454 one-teaspoon servings and costs $3.49. A batch of muffins uses 1/4 cup of sugar. How many ba
Mazyrski [523]
48/4 = 12 teaspoons per each batch

454/12 = 37.83 batches can be made

3.49/37.83 = 0.092$ per each batch
5 0
4 years ago
A chemical engineer is trying to increase the amount of the useful product in a reaction. She performs the reaction with her new
Natali5045456 [20]

Answer:

I think ur missing the actual data mate

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Aria studied the traffic trends in India. She found that the number of cars on the road increases by 10% each year. If there wer
denpristay [2]

Answer:

8,800,000cars

Step-by-step explanation:

Given the initial amount of cars = 80,000,000

If there is 10 % increase in the first year;

Increment = 10% of 80,000,000

Increment = 0.1 * 80,000,000

Increment = 8,000,000

Amount of car in year 2 = 80million + 8million = 88million

Year3;

Amount of car in year 3 = 88,000,000+(10%of88million)

Amount of car in year 3 = 88,000,000+8,800,000

Amount of car in year 3 =96,800,000

Differences in the number of cars = 96,800,000 - 88,000,000

Differences in the number of cars = 8,800,000cars

<em>Hence there are 8,800,000cars in years 3 than year 2</em>

7 0
3 years ago
based on the simulation, what is the probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to
Triss [41]

Using the binomial distribution, supposing that 0.3 of the callers have to wait more than 8 minutes to have their calls answered, it is found that there is a 0.3828 = 38.28% probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered.

For each caller, there are only two possible outcomes, either they have to wait more than 8 minutes to have their calls answered, or they do not. The probability of a caller having to wait more than 8 minutes is independent of any other caller, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 10 callers, hence n = 10
  • Suppose that 0.3 of them have to wait more than 8 minutes, hence p = 0.3

The probability that <u>at most 2</u> of the next 10 callers will have to wait more than 8 minutes is:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

Then

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

P(X = 0) = C_{10,0}.(0.3)^{0}.(0.7)^{10} = 0.0282

P(X = 1) = C_{10,1}.(0.3)^{1}.(0.7)^{9} = 0.1211

P(X = 2) = C_{10,2}.(0.3)^{2}.(0.7)^{8} = 0.2335

Then:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0282 + 0.1211 + 0.2335 = 0.3828

0.3828 = 38.28% probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered.

A similar problem is given at brainly.com/question/25537909

3 0
3 years ago
You buy 5 small candles and 2 large candles for $15. Your friend buys 6 small candles and 3 large candles for $21.
kondaur [170]

Answer:

Small candles cost 1 dollar, large candles cost 5 dollars.

Step-by-step explanation:

Let s represent small candles, L represent large candles.

You: 15 = 5s + 2L

Friend: 21 = 6s + 3L

Now you can solve for s and L, the cost of each candle type!

15 = 5s + 2L Multiply this equation by 3 -> 45 = 15s + 6L

21 = 6s + 3L Multiply this equation by 2 -> 42 = 12s + 6L

Now we have equal L's in both equations. Use elimination to get rid of L! Subtract the equations from each other.

  45 = 15s + 6L

-  42 = 12s + 6L

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

    3 = 3s + 0L

Now solve for s.

   3 = 3s

    <u>s = 1 dollar</u>

Plug s back in to get L.

15 = 5s + 2L

15 = 5(1) + 2L

15 = 5 + 2L

10 = 2L

<u>L = 5 dollars</u>

7 0
4 years ago
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