Which statement correctly compares -9 and 2?

Answers

Answer 1

Answer:

Answer:

-9<2 is a correct comparison

Step-by-step explanation: you have to multiply the number your starting with and you will get the answer 2x=3p

i think the answer might be b

Which number(s) below belong to the solution set of the inequality? Check all that apply. 9x 117A.
12

B.
14

C.
19

D.
13

E.
6

F.
8

Answers

Question says inequality, but there was no symbol between 9x and 117.

If it were an equation, then it reads 9x=117, in which case the answer is
x=117/9=13.

If it were 9x>=117, then all choices 13 or greater qualify.

If it were 9x<=117, then all choices 13 or less qualify.

Solve for x: 3x − 24 = 81
57/3
105/3
57
105

Answers

To solve for x, we need to get all our constants on one side of the equal sign and all our variables on the other side of the equal sign.

3x - 24 = 81

3x -24 + 24 = 81 +24

3x = 81 + 24

3x = 105

3x/3 = 105 / 3

x = 105 / 3

Answer:

$x=(105)/(3)$

Step-by-step explanation:

To solve for x, we need to get all our constants on one side of the equal sign and all our variables on the other side of the equal sign.

$3x-24=81$

$3x-24+24=81+24$

$3x=81+24$

$3x=105$

$(3x)/(3)=(105)/(3)$

Therefore, the answer is: $x=(105)/(3)$

As sample size increases, which of the following is true for a t-distribution-Distribution will get taller and SD will increase
-distribution sill get taller and SD will decrease
-distribution will get shorter and SD will decrease
Distribution will get shorter and SD will increase

Answers

Answer:

Distribution will get taller and SD will decrease.

Step-by-step explanation:

Sample Size and Standard Deviation:

In a t-distribution, sample size and standard deviation are inversely related.

A larger sample size results in decreased standard deviation and a smaller sample size will result in increased standard deviation.

Sample Size and Shape of t-distribution:

As we increase the sample size, the corresponding degree of freedom increases which causes the t-distribution to like normal distribution. With a considerably larger sample size, the t-distribution and normal distribution are almost identical.

Degree of freedom = n - 1

Where n is the sample size.

The shape of the t-distribution becomes more taller and less spread out as the sample size is increased

Refer to the attached graphs, where the shape of a t-distribution is shown with respect to degrees of freedom and also t-distribution is compared with normal distribution.

We can clearly notice that as the degree of freedom increases, the shape of the t-distribution becomes taller and narrower which means more data at the center rather than at the tails.

Also notice that as the degree of freedom increases, the shape of the t-distribution approaches normal distribution.

Final answer:

In a t-distribution, as the sample size increases, the distribution becomes 'shorter', and the standard deviation decreases following the law of large numbers. The increased sample size reduces variability and introduces less deviation from the mean.

Explanation:

As the sample size increases for a t-distribution, the distribution tends to approach a normal distribution shape, which means the distribution will get 'shorter'. Additionally, the standard deviation (SD) would generally decrease as the sample size increases. This is due to the fact that when sample size increases, a smaller variability is introduced, hence less deviation from the mean.

To illustrate, imagine rolling a dice. If you roll it a few times, you may end up with quite a bit of variation. If you roll it a hundred times, however, the numbers should average out closer to the expected value (3.5 for a six-sided dice), and the standard deviation (a measure of variability) would decrease.

In conclusion, when the sample size increases, a t-distribution will get 'shorter' and SD will decrease. This concept is often referred as the law of large numbers.

Learn more about t-distribution here:

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consider the ratio of 153 per 108. write this ratio in different forms. a ratio written as a reduced fraction and as a decimal rounded to the hundredths.