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Inessa [10]
3 years ago
9

Olivia places her pet frog on a line to observe the frog’s motion. The line is divided into sections that measure 1 centimeter e

ach. The frog begins at 0, moves 18 centimeters forward, moves 6 centimeters backward, and then 12 centimeters backward.
What is the frog’s displacement?
Mathematics
1 answer:
zvonat [6]3 years ago
4 0

Answer: 0

Explanation: Displacement is how far something or someone is from the starting point, in this case, the frog, so it moves 18F then 6B then 12B, so 0+18-6-12=0.

Hope this helps! :)

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Evaluate each expression
Leto [7]

Answer:

what expressions?

Step-by-step explanation:


6 0
3 years ago
I need to know how to graph and use a table to solve for y=3x+0
olga nikolaevna [1]

Answer:

Step-by-step explanation:

On a table, you'd have two columns: one for your input(x) and one for your output(y). If given an x value, put it into the equation to solve for y, and if you have a y value, put it into the equation for x. You can also come up with your own x values and put them into the equation if you need to create a table from scratch I'm not sure what you're asking but this will help you fill in a table. Here's and example for this equation.

X              Y

1                3

2               6

3               9

Graphs are pretty simple. Just find a value on the x-axis (horizontal), find the point on the line above or below this value, and look at what number it is for the y value. You can do this backwards if you need to find y when given x.

5 0
3 years ago
A study reported that the average age of menarche of girls entering the first year class of a small American private college in
Verizon [17]

Answer:

Null hypothesis: \mu = 11.89

Alternative hypothesis: \mu \neq 11.89

And we want to test this with a confidence interval:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

After conduct the interval of 95% for the true mean we got: (11.59, 13.31)

And for this case the confidence interval contains the value of 11.89, so then we have enough evidence to FAIL to reject the null hypothesis at 5% of significance that the true mean is 11.89.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=12.98 represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n=30 represent the sample size  

Solution to the problem

For this case we want to test the following hypothesis:

Null hypothesis: \mu = 11.89

Alternative hypothesis: \mu \neq 11.89

And we want to test this with a confidence interval:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

After conduct the interval of 95% for the true mean we got: (11.59, 13.31)

And for this case the confidence interval contains the value of 11.89, so then we have enough evidence to FAIL to reject the null hypothesis at 5% of significance that the true mean is 11.89.

4 0
3 years ago
How do I graph {3,1,-1,-3}​
nalin [4]
This is very sloppy but u hope it helps
6 0
3 years ago
Help me asap please
iren [92.7K]

A(-3, -1); B(2, -1), C(2, 3)

You can read the length of AB and BC.

|AB| = 5

|BC| = 4

Use the Pythagorean theorem:

|AC|^2=5^2+4^2\\\\|AC|^2=25+16\\\\|AC|^2=41\to|AC|=\sqrt{41}\\\\|AC|\approx6.4

The perimeter:

P=|AB|+|BC|+|AC|\\\\P=5+4+6.4=15.4

7 0
3 years ago
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