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3 years ago

Which statement comparing |−12| and |8| is true? |−12|>|8| |−12|=|8| |−12|<|8|

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

8 0

|-12|>|8|

have a great day

joja [24]3 years ago

4 0

In this question we have two absolute values which are

$|-12| \ and \ |8|$

Absolute value is always positive. That is absolute value of negative number is the positive number and absolute value of positive number is again a positive number.

So we have

$|-12| =12 \\ | 8| = 8$

And

$12>8$

So the correct option is the first option, that is ,

$|-12| > |8|$

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What is a volume, and how is it measured?

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Volume is length x width x height. It measures how much space it can hold inside of a shape.

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3 years ago

If ΔABC is dilated by a scale factor of 2 with a dilation center of A, what will be the coordinates of point B'?

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3 years ago

State whether the following variables have a positive correlation, negative correlation, or no correlation.

muminat

The types of correlation seen between positive correlation, negative correlation, or no correlation, in the variables is:

a. Height of a person and how often he or she attends religious services. - No correlation
(b.)Average property tax in a school district and salary of teachers - Positive correlation
(c.)Weight of a person and shoe size. - Positive correlation

<h3>What is the correlation between property taxes and teacher salaries?</h3>

One of the main sources of funding for school districts is the property tax charged. This means that increased property taxes will lead to more money being available for teacher salaries which might then increase. There is therefore a positive correlation between the two.

The same is true for the weight of a person and shoe size. This is because the heavier a person is, the larger their shoe size according to research.

There is however no correlation between the height of a person and their attendance of religious services.

Find out more on positive correlation at brainly.com/question/17180881

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11 months ago

Biologists were studying the proportions of cats that had spotted markings on their fur in two populations of cats, C and F. An

alexandr1967 [171]

Answer:

If the proportions of all cats with spotted markings is the same for both populations, the probability of observing a sample difference of at least 0.62 is 0.01.

Step-by-step explanation:

p-value is the probability of observing a result which is at least as extreme as we calculated in our actual workings, assuming the Null hypothesis to be true.

The calculate p-value is 0.01. In the question statement we are given that the alternate hypothesis is:

"Population Proportions are not equal"

Since, Null and Alternate Hypothesis are negations of each other, the Null Hypothesis would be:

"Population Proportions are equal"

We assume the null hypothesis to be true, perform the tests on the sample and obtain a result.

The results we obtained is:

The sample difference is 0.62

Fitting all this data, in the definition of p value tell us that:

The probability of obtaining a sample difference of atleast 0.62 is 0.01, if the population proportions are same.

This matches with the option B. Therefore, the correct answer is:

If the proportions of all cats with spotted markings is the same for both populations, the probability of observing a sample difference of at least 0.62 is 0.01.

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3 years ago

4.48 Same observation, difference sample size: Suppose you conduct a hypothesis test based on a sample where the sample size is

Lemur [1.5K]

Answer:

P-value is lesser in the case when n = 500.

Step-by-step explanation:

The formula for z-test statistic can be written as

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

here, μ = mean

σ= standard deviation, n= sample size, x= variable.

From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.

We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.

Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.

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3 years ago

Which statement comparing ​ |−12| ​ and ​ |8| ​ is true? ​ |−12|>|8| ​ ​ |−12|=|8| ​ |−12|<|8|

Which statement comparing |−12| and |8| is true? |−12|>|8| |−12|=|8| |−12|<|8|