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2 years ago

Which of these R-values represents the weakest correlation?

Mathematics

2 answers:

shtirl [24]2 years ago

6 0

Answer:

The correct option is D.

Step-by-step explanation:

R-values represents the correlation between two variables. R-values lie from -1 to 1.

If r=-1 or closed to -1, then it represents strong negative correlation.

If r=0 or closed to 0, then it represents no correlation.

If r=1 or closed to 1, then it represents strong positive correlation.

From the given option it is clear that the number 0.3 is nearest to 0. Therefore 0.3 represents the weakest correlation and the correct option is D.

Elza [17]2 years ago

4 0

D is the answer to your question

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Mr. Hynes waters each tomato plant with a quart of water every day. How many gallons of water does he use to water 6 tomato plan

olya-2409 [2.1K]

Answer:

There are six tomato plants.
June has thirty days.
Each tomato plant requires one quart of water for thirty days.

4 quarts equals one gallon of water.

We have to convert the number of quarts into the number of gallons at the end.

Step-by-step explanation:

6 tomato plants mean six quarts of water.

Six quarts of water to be used for thirty days.

6 x 30 = 180 quarts of water

Now we have to convert the number of quarts into amounts of gallons.

We divide 180 by 4 because four quarts equal one gallon of water.

ANSWER: 45 gallons of water

4 0

2 years ago

A certain disease has an incidence rate of 0.5%. The false negative rate on a test for the disease is 5%; the false positive rat

expeople1 [14]

Using conditional probability, it is found that the probability a person who tests positive actually has the disease is 0.087 = 8.7%.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which:

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

For this problem, the events are given as follows:

Event A: Positive test.

Event B: Person has the disease.

The percentages associated with a positive test is:

95% of 0.5%(person has the disease).

5% of 99.5%(person does not have the disease).

Hence:

P(A) = 0.95 x 0.005 + 0.05 x 0.995 = 0.0545.

The probability of both a positive test and having the disease is:

$P(A \cap B) = 0.95 \times 0.005 = 0.00475$

Hence the conditional probability is:

P(B|A) = 0.00475/0.0545 = 0.087.

The probability a person who tests positive actually has the disease is 0.087 = 8.7%.

More can be learned about conditional probability at brainly.com/question/14398287

#SPJ1

3 0

1 year ago

Factor:<img src="https://tex.z-dn.net/?f=27x%5E3%2B8" id="TexFormula1" title="27x^3+8" alt="27x^3+8" align="absmiddle" class="la

irinina [24]

Answer:

(3x + 2)(9x^2 - 6x + 4)

Step-by-step explanation:

Simple Question.

27x^3 + 8 = (3x)^3 + (2)^3

You can now apply the sum of the cubes formula:

x^3 + y^3 = (x + y)(x^2 - xy + y^2),

(3x)^3 + (2)^3 = (3x + 2)(3^2x^2 - 2*3x + 2^2)

= (3x + 2)(9x^2 - 6x + 4)

Solution: (3x + 2)(9x^2 - 6x + 4)

6 0

2 years ago

You would like to determine if there is a higher incidence of smoking among women than among men in a neighborhood. Let men and

Sedaia [141]

Answer:

For this case we want to test if there is a higher incidence of smoking among women than among men in a neighborhood (alternative hypothesis). And we define p1 for men and p2 for women, so for this case the best system of hypothesis are:

Null hypothesis: $p_1- p_2 \geq 0$

Alternative hypothesis: $p_1 -p_2$

And the best option would be:

a) h0: p1-p2 ≥ 0 h1: p1-p2 < 0

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

Null hypothesis: $p_1- p_2 \geq 0$

Alternative hypothesis: $p_1 -p_2$

And the best option would be:

a) h0: p1-p2 ≥ 0 h1: p1-p2 < 0

3 0

3 years ago

Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional drag-and-drop no

andreyandreev [35.5K]

Answer:

Proportionality constant = $\frac{3}{2}$

Step-by-step explanation:

Let y ∝ x

y = kx

Here, k = proportionality constant

From the table attached,

If x = 2 and y = 3,

3 = 2k

k = $\frac{3}{2}$

If x = 4 and y = 6,

6 = 4k

k = $\frac{6}{4}$

k = $\frac{3}{2}$

Since, k = $\frac{3}{2}$ is constant in every condition, table represents the proportional relation with proportionality constant $\frac{3}{2}$ .

6 0

2 years ago