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anyanavicka [17]
3 years ago
12

a toy company need to package balls with a 2in radius in sets of 2. they have two options: a square prism or a cylinder. The dim

ensions are shown below
Mathematics
2 answers:
ser-zykov [4K]3 years ago
8 0

Answer:

a.the cylinder because it has about 27.5 in.3 less wasted space than the prism

Step-by-step explanation:

got it right on edge

Brut [27]3 years ago
6 0

Answer:

Step-by-step explanation:

square prism

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Step-by-step explanation:

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rice --- no of people

1 ----  3

2 ---- 6

4 ---- 12

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43 --- 129

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67% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 48 owned dogs are r
oksian1 [2.3K]

Answer:

a) Probability that exactly 29 of them are spayed or neutered = 0.074

b) Probability that at most 33 of them are spayed or neutered = 0.66

c) Probability that at least 30 of them are spayed or neutered = 0.79

d) Probability that between 28 and 33 (including 28 and 33) of them are spayed or neutered = 0.574

Step-by-step explanation:

This is a binomial distribution question

probability of having a spayed or neutered dog, p  = 0.67

probability of having a dog that is not spayed or neutered, q = 1 - 0.67

q = 0.23

sample size, n = 48

According to binomial distribution formula:

P(X=r) = nCr p^r q^{n-r}

where nCr = \frac{n!}{(n-r)! r!}

a) Probability that exactly 29 of them are spayed or neutered

P(X= 29) = 48C29 * 0.67^{29} * 0.23^{19}\\P(X=29) = 0.074

b) Probability that at most 33 of them are spayed or neutered

P(X \leq 33) =1 -  P(X > 33)\\P(X \leq 33) =1 - 0.34\\P(X \leq 33) = 0.66

c) Probability that at least 30 of them are spayed or neutered

P(X \geq 30) = 1 - P(x < 30)\\P(X \geq 30) = 1 - 0.21\\P(X \geq 30) = 0.79

d) Probability that between 28 and 33 (including 28 and 33) of them are spayed or neutered.

P(28 \leq X \leq 33) = P(X=28) + P(X=29) + P(X=30) + P(X=31) + P(X=32) + P(X=33)\\P(28 \leq X \leq 33) = 0.053 + 0.074 + 0.095 + 0.112 + 0.121 + 0.119\\P(28 \leq X \leq 33) = 0.574

8 0
3 years ago
Write a two column proof.
lbvjy [14]

Answer:

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7 0
3 years ago
Sally is counting the people and animals that live on her farm. She, her brother, and her parents together have 18 cows, 1 horse
Bas_tet [7]

Using it's concept, it is found that there is a:

  • 0.6207 = 62.07% probability of selecting a cow.
  • 0.0345 = 3.45% probability of selecting a horse.
  • 0.3448 = 34.48% probability of selecting a goat.
  • 0% probability of selecting a chicken.

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

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there is a total of 18 + 1 + 10 + 0 = 29 animals, hence:

18/29 = 0.6207.

0.6207 = 62.07% probability of selecting a cow.

1/29 = 0.0345.

0.0345 = 3.45% probability of selecting a horse.

10/29 = 0.3448.

0.3448 = 34.48% probability of selecting a goat.

0/29 = 0.

0% probability of selecting a chicken.

More can be learned about the probability concept at brainly.com/question/15536019

3 0
2 years ago
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