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sleet_krkn [62]
3 years ago
13

A bag of balloons contains 4 red balloons, 12 green balloons, 14 yellow balloons, and 7 orange balloons. What is the probability

that a randomly selected balloon would be green or orange?
Mathematics
2 answers:
Marina86 [1]3 years ago
5 0
19/37 because you would add them all up then you would get 37 then you would add the green and orange together and get 19 so then you put that over 37 and get 19/37
Margarita [4]3 years ago
5 0
Number of total balloons =4+12+14+7=37

probability of green or orange = (green+orange)/all=(7+12)/37=0.5135=51.35%
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(x + 4) mm <br> What is the value of x according to this picture?
irinina [24]

Answer:

  x = 24

Step-by-step explanation:

The angle bisector creates proportional corresponding line segments on either side of it. That is ...

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Multiplying by 44.8, you have

  44.8 · (35/56) = x + 4

  28 = x + 4                          simplify

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3 years ago
Select two figures that have the same volume.
vova2212 [387]

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Step-by-step explanation:

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2 years ago
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Suppose that 20% of the subscribers of a cable television company watch the shopping channel at least once a week. The cable com
riadik2000 [5.3K]

Answer:

4.01% probability that the cable company will keep the shopping channel.

Step-by-step explanation:

For each subscriber, there are only two possible outcomes. Either they watch the shopping channel at least once a week, or they do not. This means that we can solve this problem using the binomial probability distribution.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 100, p = 0.20

So

E(X) = 100*0.20 = 20

\sqrt{V(X)} = \sqrt{100*0.20*0.80} = 4

The cable company has decided to keep the shopping channel if the sample proportion is greater than 0.27. What is the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20?

This probability is 1 subtracted by the pvalue of Z when X = 0.27*100 = 27. So

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

Z = \frac{27 - 20}{4}

Z = 1.75

Z = 1.75 has a pvalue of 0.9599.

So there is a 1-0.9599 = 0.0401 = 4.01% probability that the cable company will keep the shopping channel.

5 0
3 years ago
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Tpy6a [65]

Answer:

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Step-by-step explanation:

The area of a kite is given as the product of the two diagonals of the kite divided by 2.

Area of kite = (xy/2)

where x and y are the diagonals of the kite.

The sandbox cover, in shape of a kite has a width of 6 ft and a height of 4 ft.

These two dimensions are the diagonals of the kite. Hence, the area of a kite is

A = (6×4/2) = 12 ft²

Hope this Helps!!!

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Arturiano [62]

Full question attached

Answer:

Greenland offers the lowest unit rate, dollars per pound

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Therefore $1 = 5pounds/4.5= 1.11 pounds

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Therefore 1 pound= 1/1.25= $0.8

For Mother Nature

$0.95= 1 pound

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7 0
3 years ago
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