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Genrish500
2 months ago
7

1:

Mathematics
1 answer:
PIT_PIT [12.4K]2 months ago
8 0

Answer:

For the first day: 45x + 20y = 875

For the second day: 25x + 40y = 775

Price of an adult ticket: $15

Detailed breakdown:

Refer to the attached document. (:

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Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town
PIT_PIT [12445]

Answer:

2.1 miles

Step-by-step explanation:

Refer to the attached illustration (you need to include all the mentioned locations and the distances between them),

enabling us to create a right triangle between the school and the hospital with side measures of: 1.7 and 1.2 miles

and the green line represents the direct path from the school to the hospital; thus, applying the Pythagorean theorem will yield the result:

\sqrt{1.7^2+1.2^2}\\=\sqrt{2.89+1.44}\\=\sqrt{4.33} \\ =2.081

When rounded to the nearest tenth:

2.1 miles

4 0
2 months ago
A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent h
babunello [11817]

Answer:

C and D

Step-by-step explanation:

6 0
2 months ago
Read 2 more answers
According to a survey by Bankrate, of adults in the United States save nothing for retirement (CNBC website). Suppose that adult
tester [12383]

Complete Question

The complete question appears in the first uploaded image

Answer:

a) Yes, selecting 15 corresponds to a binomial experiment

b)

c)

d) P(r = 15) = 3.2768 *10^{-11}

Step-by-step explanation:

Regarding question a:

For an experiment to qualify as binomial

the trials have to be independent

each trial must yield one of two possible outcomes

Given that the selection of 15 individuals is random, we ascertain that the trials are independent and the outcomes are “either the individual saves for retirement or does not save for retirement.”

Therefore, we conclude that the selection of 15 people at random is indeed a binomial experiment.

In question b:

The probability that all selected adults do not save for retirement is mathematically modeled as

P(r = n) = ^nC_r * p^r * q^{n-r}

Here C signifies combination

r = 15 implies all selected adults

n refers to the population size equating to 15

From the problem, p = 0.20

and q can be calculated as

=>

=> q = 1 - p

Thus

P(r = 15) = ^{15}C_{15} * p^{15} * q^{15-15}

P(r = 15) = 3.2768 *10^{-11} Regarding question c:

The probability that exactly five of the selected adults do not save for retirement is mathematically modeled as

P(r = 5) = ^{15} C_5 * (0.20)^5 * (0.80)^{15}

P(r = 5) = 0.1032

In relation to question d:

The probability that at least one of the selected adults opts not to save for retirement can be mathematically expressed as

P(r \ge 1 ) = 1 - P (r = 0 )

P(r \ge 1 ) = 1 - [ ^{15} C _ 0 * (0.20)^{0} * (0.80 )^{15}]

P(r \ge 1 ) = 1 - 0.0352

P(r \ge 1 ) = 0.9648

4 0
2 months ago
Justin wants to buy plants for his property, and he can afford to spend at most $480. The local nursery sells holly bushes for $
lawyer [12517]

Answer: 10 holly bushes and 12 bayberry shrubs

Step-by-step explanation: use your brain or a calculator to figure out the cost of each type of plant and then total them up

3 0
3 months ago
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