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Contact [7]
4 years ago
13

Tony needs to buy some pencils.Brand A has a pack of 28 pencils for 5.29 dollars. Brand B has a pack of 48 pencils for 8.47 doll

ars. Find the unit price for each brand then state which brand is the best buy based on the unit price round your answer to the nearest 10th
Mathematics
1 answer:
Shalnov [3]4 years ago
5 0

Answer: Brand A is the best buy.

Step-by-step explanation:

Brand A has a pack of 28 pencils for 5.29 dollars. This means that the unit cost of one pencil in Brand A would be

5.29/28 = 0.2$ per pencil rounded up to the nearest tenth.

Brand B has a pack of 48 pencils for 8.47 dollars. This means that the unit cost of one pencil in Brand B would be

8.47/48 = $0.8 per pencil rounded up to the nearest tenth.

Since $0.2 is lesser than $0.8, it means that Brand A is the best buy.

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The toll on a bridge is $1.00 for cars and $2.50 for trucks. In one hour, a tollbooth operator collects a total of $105 in tolls
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4 years ago
Brent claims that more students at his school prefer hot dogs over hamburgers. His friend Shaun doesn’t agree. To settle their a
photoshop1234 [79]

Answer:

  • Using conditional probabilities it can be shown that  the results are influenced by the gender.

Explanation:

To prove that the results are influenced by <em>gender</em> you can calculate both the probability of preferring hot dogs and the conditional probability of preferring a hot dog given that is a female.

If the two results are different the probability of preferring hot dog is dependent on whether the person is a female or a male.

The probability of preferring hot dogs given that is a female is stated by the problem: 34.2%.

The probability of preferring hot dogs by the whole sample is:

  • Number of males that prefer hot dogs: 184 (stated by the problem)
  • Number of females that prefer hot dogs:

         100% - 34.2% = 65.8%

         65.8% of 635 = 0.658 × 635 = 417.83 ≈ 418

  • Samples size: 542 males + 635 females = 1177

  • Probability of preferring hot dogs =

              number of students that preffer hot dogs / number of students =

              (184 + 418) / 1177 = 602 / 1177 = 0.5115 ≈ 51.2%

Thus, the probability of preferring hot dogs given that the student is a female (34.2%) is different from the probability of preferring hot dog for the whole sample, making the results dependent of the gender.

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4 years ago
ILL GIVE BRAINLIEST FOR BEST AWNSER!!!
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3 years ago
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Answer:

sin30° and cos60°

Step-by-step explanation:

We can see that we can use multiply trig identities to solve for <em>r</em>:

sin30° = r/20

r = 20sin30°

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r = 20cos60°

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3 years ago
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