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gizmo_the_mogwai [7]
3 years ago
6

I have 10and4/5 of cake batter to split among 18 cupcakes. How many cups of batter will I use for each cupcake

Mathematics
2 answers:
Verdich [7]3 years ago
5 0
Information given to us:
10 4/5 total cake batter
18 cupcakes
First, we need to find the improper fraction of 10 4/5, which is 54/5. Now we can divide 54/5 by 18. Answer: every cupcake will use 3/5 cup.
gogolik [260]3 years ago
3 0

Step-by-step explanation:

10 4/5 cake powder but kinda late

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Alex and Ben shares £520 in the ratio 1:3.<br> What fractions of the £520 does Ben receive?
Arisa [49]
Ben would receive £390 while Alex would only receive £130
4 0
3 years ago
CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars
velikii [3]

Answer:

P(939.6 < X < 972.5) = 0.6469

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars.

This means that \mu = 965, \sigma = 113

Sample of 57:

This means that n = 57, s = \frac{113}{\sqrt{57}} = 14.97

Find the probability that a single randomly selected policy has a mean value between 939.6 and 972.5 dollars.

This is the pvalue of Z when X = 972.5 subtracted by the pvalue of Z when X = 939.6. So

X = 972.5

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{972.5 - 965}{14.97}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915

X = 939.6

Z = \frac{X - \mu}{s}

Z = \frac{939.6 - 965}{14.97}

Z = -1.7

Z = -1.7 has a pvalue of 0.0446

0.6915 - 0.0446 = 0.6469

So

P(939.6 < X < 972.5) = 0.6469

3 0
2 years ago
Best estimate 27x1/7
FinnZ [79.3K]
27/7 or Decimal: 3.857143
8 0
3 years ago
Hello i need help please
Usimov [2.4K]
Option B is correct
8 0
3 years ago
Read 2 more answers
The first three terms of a sequence are given. Round to the nearest thousandth (if
Mumz [18]

Answer:

\frac{3}{16}

Step-by-step explanation:

The common ratio is \frac{1}{2}

24, 12, 6, 3, \frac{3}{2}, \frac{3}{4}, \frac{3}{8}, \frac{3}{16}

so divide each term by 2

<em>plz mark m brainliest. :)</em>

6 0
3 years ago
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