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Ainat [17]
2 years ago
14

Isaac orders dried fruit from an online health food store. He pays a price per pound for the fruit, and a flat shipping fee. Thi

s table shows the total cost for different amounts of fruit ordered.What is the most reasonable domain and range for the situation?
Mathematics
1 answer:
Tasya [4]2 years ago
3 0

Answer:

Step-by-step explanation:

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The playground at a park is shaped like a trapezoid the dimensions what is the area of the playground in square feet
Maru [420]

Answer:

Area = 1560ft^2

Step-by-step explanation:

Given

See attachment for playground

Required

Determine the area

The playground is a trapezoid. So;

Area = \frac{1}{2}(Sum\ parallel\ sides) * Height

From the attachment, the parallel sides are: 68ft and 36ft

The height is: 30ft

So, the area is:

Area = \frac{1}{2}(68ft + 36ft) * 30ft

Area = \frac{1}{2}(104ft) * 30ft

Area = 52ft * 30ft

Area = 1560ft^2

5 0
3 years ago
According to New Jersey Transit, the 8:00 A.M. weekday train from Princeton to New York City has a 90% chance of arriving on tim
jonny [76]

Answer:

See explanation below.

Step-by-step explanation:

Assuming this problem: "According to New Jersey Transit, the 8:00 A.M. weekday train from Princeton to New York City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is true. Choose 6 days at random. Let W = the number of days on which the train arrives late. "

For this case we can check if the binomial model can be used checking conditions:

1) We satisfy that we have independent trials and is assumed for this case

2) We have a fixed value for the trials n =6 and for the probability p = 0.9 on each trial

3) We have bernoulli experiments on each trial since we have success or failure for each case.

So then since all the conditions are satisfied we can assume that the binomial model can be used here.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let W the random variable of interest "the number of days on which the train arrives late", on this case we now that:

W \sim Binom(n=6, p=0.9)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We can find all the possible probabilities for all the possible values of X like this:

P(X=0)=(6C0)(0.9)^0 (1-0.9)^{6-0}=1x10^{-6}

P(X=1)=(6C1)(0.9)^1 (1-0.9)^{6-1}=5.4x10^{-5}

P(X=2)=(6C2)(0.9)^2 (1-0.9)^{6-2}=0.001215

P(X=3)=(6C3)(0.9)^3 (1-0.9)^{6-3}=0.01458

P(X=4)=(6C4)(0.9)^4 (1-0.9)^{6-4}=0.0984

P(X=5)=(6C5)(0.9)^5 (1-0.9)^{6-5}=0.354

P(X=5)=(6C5)(0.9)^6 (1-0.9)^{6-6}=0.531

4 0
3 years ago
Isabel wants a coat that costs $60. She has saved $42. What fraction of the amount she needs has she saved ?
notka56 [123]
Simple.....

you have this fraction...

\frac{42}{60}

simplify...

42/6=7
and
60/7=10

Thus...\frac{7}{10}

Thus, she has saved \frac{7}{10} of the money.
8 0
2 years ago
Nelly works part-time in a shop to
zaharov [31]

Using proportions, Nelly's total pay for last week was of £220.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

From Monday to Friday, she worked 17 hours, hence:

  • For 15 hours, she was paid £8 per hour.
  • For the last 2 hours, she was paid £10 per hour.

On Saturday, she worked 5 hours, and was paid £16 per hour.

Hence her total payment is found as follows:

15 x 8 + 2 x 10 + 5 x 16 = £220.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

3 0
2 years ago
8. There are 3 water slides in the park, arranged from shortest to tallest. The
Valentin [98]

Answer:

27

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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