A market sells 6 cans of food for every 7 boxes of food. The market sold a total of 26 cans and boxes today. How many

What does it mean to say that two variables are positively associated?

stealth61 [152]

Answer:

Option A is correct.

Step-by-step explanation:

Correlation coefficients tell us how strongly the two variables are associated.

A positive correlation is a relation when both the variables move together in the same direction. Like if value of first increases the other also increases.

When the correlation coefficient is greater than 0, this means that both variables are correlated.

So, the answer here will be :

A. There is a linear relationship between the variables, and whenever the value of one variable increases, the value of the other variable increases.

3 0

3 years ago

your friend gives you a hint by telling you that a tank is located 10 units from the origin. tanks can be positioned only at who

Aleks [24]

Answer:

(10,0), -(10,0) (0,10) and (0.-10)

Step-by-step explanation:

7 0

3 years ago

A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of

iris [78.8K]

Answer:

The probability that the mean battery life would be greater than 533.2 minutes (in a sample of 75 batteries) is $\\ P(z>0.48) = P(x>533.2) = 0.3156$

Step-by-step explanation:

The main thing we have to take into account in this question is that we are about to find the probability of a sample mean. The distribution for sample means follows a normal distribution with mean $\\ \mu$ and standard deviation $\\ \frac{\sigma}{\sqrt{n}}$ . Mathematically

$\\ \overline{x} \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

For values of the sample $\\ n \ge 30$ , no matter the distribution the data come from.

And the variable z follows a standard normal distribution, and, as we can remember, this distribution has a mean = 0 and a standard deviation = 1. Mathematically

$\\ z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$ [1]

That is

$\\ z \sim N(0, 1)$

We have a variance of 3364. That is, a standard deviation of

$\\ \sigma^2 = 3364; \sigma = \sqrt{3364} = 58$

The population mean is

$\\ \mu = 530$

The sample size is $\\ n = 75$

The sample mean is $\\ \overline{x} = 533.2$

With all this information, we can solve the question

The probability that the mean battery life would be greater than 533.2 minutes

Using equation [1]

$\\ z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$\\ z = \frac{533.2 - 530}{\frac{58}{\sqrt{75}}}$

$\\ z = \frac{3.2}{\frac{58}{8.66025}}$

$\\ z = \frac{3.2}{6.69726}$

$\\ z = 0.47780$

With this value of z we can consult a cumulative standard normal table (or use some statistic program) to find the cumulative probability for z (and remember that this variable follows a standard normal distribution).

Most standard normal tables have values for z for only two decimals, so we can round the previous value for z as z = 0.48.

Then

$\\ P(z$

However, in the question we are asked for $\\ P(z>0.48) = P(x>533.2)$ . As well as all normal distributions, the standard normal distribution is symmetrical around the mean, and we have

$\\ P(z>0.48) = 1 - P(z$

Thus

$\\ P(z>0.48) = 1 - 0.68439$

$\\ P(z>0.48) = 0.31561$

Rounding to four decimal places, we have

$\\ P(z>0.48) = 0.3156$

So, the probability that the mean battery life would be greater than 533.2 minutes is (in a sample of 75 batteries) $\\ P(z>0.48) = P(x>533.2) = 0.3156$ .

5 0

3 years ago

Bailey bought a twin pack of gum for 2 dollars; this is 50 cents less than 2/3 the cost of a triple pack of gum. What is the pri

lesantik [10]

Answer:

The price of a triple pack of gum is $2.25.

Step-by-step explanation:

its 2am im half alseep i dont know

3 0

3 years ago

Which is the value of x? X=16 X=29 X=44 X=46

Dahasolnce [82]

Answer:

x = 16

I hope this helps!

5 0

3 years ago

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