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Reptile [31]
3 years ago
8

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0
Consider
.. X = {1, 2, 3, 4}, x = 4
.. Y = {2, 3, 4, 5, 6}, y = 5, w = 3
The elements in X or Y (X ∪ Y) are {1, 2, 3, 4, 5, 6}, n = 6.
.. n = 6 = 4 + 5 - 3

Note that if we just add x and y, we count the common elements twice. In order to just count the common elements once, we need to subtract that count from the total of x and y.

selection B is appropriate.
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Casper has some whipping cream that is 18%, percent butterfat, and some milk that is %4, percent butterfat. He wants to make a 5
steposvetlana [31]

L represent Option A. The correct answer is that the mixture has the intended volume and has more than the intended percent of butterfat.

<h3>What is the  graph about?</h3>

Note that:

The graph shows that the point L is one that is below the blue line of the graph.

Therefore, x + y = 500

Also one need to see that:

0.18x + 0.04y = 500(0.12)

Since that cream is 18% butterfat, milk is 4% butterfat, so L is composed of of 350 ml of cream and 100 ml of milk.

Hence the total amount of butterfat for L is:

0.18 x 350 + 0.04 x 100

= 67ml.

Next, one has to calculate 12% of the volume of L :

12% of 450:

0.12 x 450 =  54ml

So, because 67 is bigger than 54, this implies that the volume of butter fat in L is more than 12 %.

Read more on mixture here:

brainly.com/question/24869423

#SPJ1

4 0
2 years ago
How many students will chos pepperoni
yawa3891 [41]
The answer will be 50%
4 0
3 years ago
Read 2 more answers
Joyce took out a small loan for $1,200. The interest on the loan was 10.5%, but she paid it off in just 18 months. How much did
jasenka [17]

Answer:

She paid back $192 in interest

Step-by-step explanation:

A = P(1+r)^n

P = $1,200

r = 10.5% = 0.105

n = 18 months = 18/12 = 1.5 years

A = 1,200(1+0.105)^1.5 = 1,200(1.105)^1.5 = 1,200×1.16 = 1,392

Amount = $1,392

Principal = $1,200

Interest = amount - principal = $1,392 - $1,200 = $192

7 0
3 years ago
A store originally purchased a refrigerator at a cost of $650.20 and marked it up 50%. After a few weeks, however, the store dis
Murrr4er [49]

Answer:

Step-by-step explanation:

Step one:

the original price of refrigerator =  $650.20

the markup/raise is 50%

the new price after the raise is

= 50/100*650.20

=0.5* 650.20

=325.1

The raise is by $325.1

The new price is $325.1+ $650.20=$975.3

Step two:

there was a discount of 70%

so =(70/100)*975.3

=0.7*975.3

=682.71

The discounted price is $682.71

The new price is 975.3-682.71

=$292.59

7 0
3 years ago
According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month. Assume
Ira Lisetskai [31]

Answer:

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month.

This means that \mu = 22

Standard deviation is 4:

This means that \sigma = 4

Sample of 36:

This means that n = 36, s = \frac{4}{sqrt{36}}

What is the probability that the sample mean is between 21 and 22?

This is the p-value of Z when X = 22 subtracted by the p-value of Z when X = 21.

X = 22

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

By the Central Limit Theorem

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

Z = \frac{22 - 22}{\frac{4}{sqrt{36}}}

Z = 0

Z = 0 has a p-value of 0.5.

X = 21

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

Z = \frac{21 - 22}{\frac{4}{sqrt{36}}}

Z = -1.5

Z = -1.5 has a p-value of 0.0668.

0.5 - 0.0668 = 0.4332

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

4 0
2 years ago
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