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Mila
16 days ago
15

Find the quotient: –1019÷(−57). a: 7095 B: 1419 c : 1419 d : 7095

Mathematics
1 answer:
tester [8.8K]16 days ago
4 0

Answer:

Quotient = 17

Step-by-step explanation:

Given

\frac{-1019}{-57}

Required

Calculate the quotient

\frac{-1019}{-57}

Begin by dividing both the numerator and denominator by -1

\frac{1019}{57}

The quotient represents the integer result of two values;

\frac{1019}{57} = 17.8771929825

Since we are interested in the integer portion only;

Quotient = 17

None of the available options satisfactorily address the problem

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The correct answer is:

She can ascertain that while there exists an association between the variables, a correlation does not exist, and causation cannot be established.

Explanation:

Due to the arch shape of her graph, it indicates that as one variable varies, the other also changes. This indicates an association exists between these variables.

Nonetheless, given that the graph does not follow a linear pattern, no correlation can be claimed. As there is no correlation, causation cannot be determined.

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Fill in the blanks. a. A​ relative-frequency distribution is to a variable as a​ __________ distribution is to a random variable
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Answer:

a. A relative-frequency distribution relates to a variable just as a _____probability_____ distribution relates to a random variable. b. A relative-frequency histogram pertains to a variable similarly to how a _____probability_____ histogram pertains to a random variable.

Step-by-step explanation:

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1 month ago
A shipment of 20 similar laptop computers to a retail outlet contains 3 that are defective. If a school makes a random purchase
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Answer:

Step-by-step explanation:

The total count of laptops, N = 20

Defective laptops, n = 3

The school is purchasing 2 laptops

Case 1:

Both purchased laptops are non-defective

Probability of selecting 2 non-defective laptops

The count of non-defective laptops equals 20 - 3 = 17

Overall laptop count = 20

Probability, P = 17/20 = 0.85

Case 2:

One laptop is found defective

The probability of choosing 1 defective and 1 non-defective laptop

P' = 3/20 x 17/19 = 0.134

Case 3:

Both laptops are defective

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P'' =

4 0
3 days ago
Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large un
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Answer: 0.1289

Step-by-step explanation:

Given: The proportion of students absent on Mondays at a large university.: p=0.15

Sample size: n=12

Mean: \mu=np=12\times0.15=1.8

Standard deviation = \sigma=\sqrt{np(1-p)}

\Rightarrow\ \sigma=\sqrt{12(0.15)(1-0.15)}=1.23693168769\approx1.2369

Let x represent a binomial variable.

Referencing the standard normal distribution table,

P(x=4)=P(x\leq4)-P(x\leq3) (1)

Z score for normal distribution:-

z=\dfrac{x-\mu}{\sigma}

For x=4

z=\dfrac{4-1.8}{1.2369}\approx1.78

For x=3

z=\dfrac{3-1.8}{1.2369}\approx0.97

Thus, from (1)

P(x=4)=P(z\leq1.78)-P(z\leq0.97)\\\\=0.962462-0.8339768\approx0.1289

Consequently, the likelihood of four students being absent = 0.1289

3 0
23 days ago
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