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2 years ago

6

a park bench is located 16 3/4 feet due north of an elm tree. a fountain is located 9 1/2 feet due south of the same elm tree. w

hats is the distance in feet between the park bench and the fountain?

1 answer:

Tju [1.3M]2 years ago

4 0

26 1/4 ft between the park bench and fountain

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-3- 9n +5n-2 combining like terms?

shtirl [24]

Answer:

the answer is on photomath

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3 years ago

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Samuel used 1/5 of an ounce of butter to make 1/15 of a pound of jelly. How many ounces of butter are needed to make a pound of

vredina [299]

Set up ratio problem

.2 oz butter / (1/15) lb jelly = x / 1 lb jelly

Then cross multiply the stuff opposite each other in the fractions... set it up as a multiplication problem

.2 × 1 = (1/15) × x

.2 = (1/15)x

Multiply both sides of equation by 15 to clear out the (1/15) fraction and get x

x = 3

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3 years ago

A test consists of 10 true/false questions. To pass the test a student must answer at least 88 questions correctly. If a student

Zanzabum

Answer:

The probability that the student is going to pass the test is 0.0545

Step-by-step explanation:

The variable that says the number of correct questions follows a Binomial distribution, because there are n identical and independent events with a probability p of success and a probability 1-p of fail. So, the probability of get x questions correct is:

$P(x)=\frac{n!}{x!(n-x)!} *p^{x} *(1-p)^{n-x}$

Where n is equal to 10 questions and p is the probability of get a correct answers, so p is equal to 1/2

Then, if the student pass the test with at least 8 questions correct, the probability P of that is:

P = P(8) + P(9) + P(10)

$P=(\frac{10!}{8!(10-8)!}*0.5^{8}*(0.5)^{10-8})+(\frac{10!}{9!(10-9)!} *0.5^{9} *(0.5)^{10-9})+(\frac{10!}{10!(10-10)!} *0.5^{10} *(0.5)^{10-10})$

P = 0.0439 + 0.0097 + 0.0009

P = 0.0545

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3 years ago

2 people are going to share 5kg of chocolate. How many kilograms of chocolate should each person get

jasenka [17]

Answer:

2.5 kg per person

Step-by-step explanation:

Take the amount of chocolate and divide by the number of people

5 kg /2

2.5 kg per person

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3 years ago

If a research team increases the sample size for a study, the power of their statistical tests will:

Viktor [21]

Answer: c) increase

Step-by-step explanation:

A sample is a finite subset of the entire population on which research statistical test regarding his/ her objective .

As the sample size increases it comes closer to the population size, and so converge to a better result of researcher's analysis.

It means the size of the sample is proportional to the power of their statistical tests.

∴ As the size of the sample increases the power of statistical test increases.

Hence, If a research team increases the sample size for a study, the power of their statistical tests will <u>increases</u>.

Therefore , the correct answer is : c) increase

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2 years ago