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2 years ago

Determine what type of model best fits the given situation:

1 answer:

3 0

If we imagine an x-axis as the time and y-axis as the temperature. The change in y is -5 when the change in x is 20. This ratio then is -5/20, or -1/4 when simplified. Because it is a constant non changing slope, the model can be described as linear.

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A mailing carton in the shape of a cube has a volume of 684 cubic inches. What is the length of one side of the carton to the ne

Liula [17]

Check the picture below.

5 0

2 years ago

What is the median of the following numbers? 1, 2, 2, 8, 9, 14

sesenic [268]

Answer: 5

Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.

Notice that our data set is already written from least to greatest.

1, 2, 2, 8, 9, 14

Notice that in this data set, there is no middle number directly because 2 and 8 fall directly in the middle. In this situation, we take the average of these two middle numbers and divide their sum by 2.

Since 2 and 8 are the numbers that appear in the middle, we add them.

2 + 8 gives us 10.

Now we divide 10 by 2 to get 5.

So the median of this data set is 5.

8 0

3 years ago

A penny is tossed and a number cube is rolled. Find probability P(tails and 3). Please select one answer.

noname [10]

Answer:

the probability is 1/12

Step-by-step explanation:

The probability, P(Tails) to get tails is equal to:

$P(Tails)=\frac{1}{2}$

Because a penny have two possible options heads or tails and tails is one option.

Additionally, the probability P(3) that the number cube get a 3 is equal to:

$P(3)=\frac{1}{6}$

Because the cube have 6 possible options and 3 is one option.

Now, the probability P(tails and 3) is calculated as a multiplication of P(tails) and P(3). then, P(tails and 3) is equal to:

P(tails and 3) $=\frac{1}{2}*\frac{1}{6}=\frac{1}{12}$

8 0

2 years ago

Read 2 more answers

Suppose that you had the following data set. 500 200 250 275 300 Suppose that the value 500 was a typo, and it was suppose to be

hodyreva [135]

Answer:

$\bar X_B = \frac{\sum_{i=1}^5 X_i}{5} =\frac{500+200+250+275+300}{5}=\frac{1525}{5}=305$

$s_B = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(500-305)^2 +(200-305)^2 +(250-305)^2 +(275-305)^2 +(300-305)^2)}{5-1}} = 115.108$

$\bar X_A = \frac{\sum_{i=1}^5 X_i}{5} =\frac{-500+200+250+275+300}{5}=\frac{525}{5}=105$

$s_A = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(-500-105)^2 +(200-105)^2 +(250-105)^2 +(275-105)^2 +(300-105)^2)}{5-1}} = 340.221$

The absolute difference is:

$Abs = |340.221-115.108|= 225.113$

If we find the % of change respect the before case we have this:

$\% Change = \frac{|340.221-115.108|}{115.108} *100 = 195.57\%$

So then is a big change.

Step-by-step explanation:

The subindex B is for the before case and the subindex A is for the after case

Before case (with 500)

For this case we have the following dataset:

500 200 250 275 300

We can calculate the mean with the following formula:

$\bar X_B = \frac{\sum_{i=1}^5 X_i}{5} =\frac{500+200+250+275+300}{5}=\frac{1525}{5}=305$

And the sample deviation with the following formula:

$s_B = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(500-305)^2 +(200-305)^2 +(250-305)^2 +(275-305)^2 +(300-305)^2)}{5-1}} = 115.108$

After case (With -500 instead of 500)

For this case we have the following dataset:

-500 200 250 275 300

We can calculate the mean with the following formula:

$\bar X_A = \frac{\sum_{i=1}^5 X_i}{5} =\frac{-500+200+250+275+300}{5}=\frac{525}{5}=105$

And the sample deviation with the following formula:

$s_A = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(-500-105)^2 +(200-105)^2 +(250-105)^2 +(275-105)^2 +(300-105)^2)}{5-1}} = 340.221$

And as we can see we have a significant change between the two values for the two cases.

The absolute difference is:

$Abs = |340.221-115.108|= 225.113$

If we find the % of change respect the before case we have this:

$\% Change = \frac{|340.221-115.108|}{115.108} *100 = 195.57\%$

So then is a big change.

8 0

3 years ago

To solve the following equation for X, which operation will you need to perform? X + 2 = 5 Question 1 options: Add 2 Subtract 2

ira [324]

Answer:

subtract 2

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers