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mixas84 [53]
3 years ago
12

Suppose a furniture manufacturer ships their products to distributors in pairs (so there are two items sent in each box). The we

ights of furniture pieces vary significantly, but the manufacturer wants to make sure the weight of each package is about the same. From this information, the correlation between the weights of the two individual furniture pieces will be ______________.
Mathematics
2 answers:
Elina [12.6K]3 years ago
6 0

Answer: Negative.  


Step-by-step explanation:

Given: A furniture manufacturer ships their products to distributors in pairs (so there are two items sent in each box).

The weights of furniture pieces vary significantly, but the manufacturer wants to make sure the weight of each package is about the same.

From this information, the correlation between the weights of the two individual furniture pieces will be negative.

Because there is inverse relation between the weights of the two individual furniture pieces .When the weight of one piece goes up, the weight of the other piece goes down to maintain their package weight same i.e.constant.

nydimaria [60]3 years ago
5 0
<span>The correlation between the weight of the two individual pieces will be inversely proportional. Since each package must maintain a constant weight and it contains two pieces of furniture, when one furniture is heavy, the other must be light. Thus, the relationship of the two pieces of furniture is inversely proportional.</span>
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If an instrument measures in units of 10, then any value between which two values would be measured as 80?
enyata [817]

Answer:

The answer is 75 and 85.

Step-by-step explanation:

If the instrument measures in units of 10, then the measurement could be 5 units on either side of 80 (80 − 5 = 75, 80 + 5 = 85). Any value between 75 and 85 would be measured as 80.

4 0
3 years ago
Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born
NikAS [45]

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability of a person being in May:

May has 31 days in a year of 365. So

p = \frac{31}{365} = 0.0849

Group of 20 friends:

This means that n = 20

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

3 0
3 years ago
Help as soon as possible pleaseee
KiRa [710]

Answer:

(3x + 2)(x-4)

Step-by-step explanation:

3x² - 10x - 8 = 0

(splitting the middle term)

3x² -12x + 2x -8 = 0

3x(x-4) + 2(x-4) = 0

(3x + 2)(x-4) = 0

(3x + 2)(x-4) is the correct answer (option a)

3 0
3 years ago
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Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what
gladu [14]

Answer: Circumference of Earth= 25120 miles

Step-by-step explanation:

Given: The circumference of a circle can be found using the formula C = \pi d, where d= diameter of the circle.

Earth's diameter = 8000 miles (approx)

The circumference of circle = 3.14\times 8000  [substitute values in formula]

The circumference of circle = 25120 miles (approx)

Hence,  the circumference of Earth= 25120 miles (approx)

8 0
3 years ago
A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses:
vaieri [72.5K]

Answer:

Mean: 11.2

Median: 11

Mode: There is none

Step-by-step explanation:

mean -you add all the numbers and divide by the number of numbers

median- you arrange the data set by numerical value (increasing) and it is basically the "middle number" for example 1, 2, 3, (2 would be the "middle" number" )

mode- is the number that appears most often. in this scenario, all numbers appear the same amount of times (1) so there is no mode.

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3 years ago
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