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koban [17]
3 years ago
14

Two baskets contain snacks. The basket contain 12 bags of peanuts, of which 5 are reduced sodium and 8 granola bars, of which 2

are reduced sodium. If you randomly select one snack from each basket, what is the probability that both snacks are reduced sodium and 1 snack is a bag of peanuts and the other is a granola bar?
Mathematics
1 answer:
Ghella [55]3 years ago
8 0
There are a total of 20 snacks in each bag.  We consider the probability of picking a bag of peanuts with reduced sodium and then a granola bar with reduced sodium, then multiply by 2 (because we could pick them in the other order).

There is a 5/20 chance of picking a sodium-reduced bag of peanuts first, and a 2/20 chance of picking a sodium-reduced granola bar next.  Thus, the chance of picking them together in that order is 5/20*2/20=10/400, or 1/40.  Because we could pick the snacks in either order, we multiply by two, for a result of a 1/20 probability.
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sales tax was $1.76

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Answer:

p(x) = 0.85x

t(x) = 1.065x

(t o p)(x) = 0.9x

$2700

Step-by-step explanation:

If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be

p(x) = x(1 - \frac{15}{100}) = 0.85x

where x is the marked price.

Now, the function that gives the total cost with sales tax will be given by

t(x) = x(1 + \frac{6.5}{100}) = 1.065x

where x is the discounted price.

Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by

(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)

where x is the marked price.

If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),

(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)

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A new superhero movie has its first showing and there are 155 people in line to see it. If the ratio of kids to adults waiting t
lidiya [134]

The number of adults waiting to see the new superhero movie is 62.

<h3>How many adults are waiting in line?</h3>

Ratio expresses the relationship between two or more numbers. Ratio is used to compare two or more numbers. It shows the number of times that one value is contained in another value.

Looking at the ratio given in this question, we know that there are 1 1/2 (3 /2) more children than adults on the line to watch the new superhero movie.

Number of adults waiting to see the movie = (ratio that represents adults / sum of ratio) x total number of people wafting in line

Sum of ratios = 2 + 3 = 5

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To learn more about ratios, please check: brainly.com/question/25927869

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What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%
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Answer: 63%

Step-by-step explanation:

<u>First step</u>

Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.

Assume this rate is x;

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<u>Second step - Survival rate</u>

The survival rate is calculated by;

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