Ask question

Ask question

All categories

2 years ago

11

f parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie? [hint

: Place your coordinates in the blank with no parentheses and a space after the comma in the form: x, y]

1 answer:

Assoli18 [71]2 years ago

8 0

Assuming the rotation is around the origin (0,0) then A' = A. The parallelogram is in its original location

You might be interested in

Question 5. We have 5-year statistics of average amount of wheat crop (tons) harvested from 1 km2 per year, the results are as f

tino4ka555 [31]

Answer:

a) $t=\frac{524.6-550}{\frac{27.682}{\sqrt{5}}}=-2.052$

$p_v =P(t_{(4)}$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

We can say that at 5% of significance the true mean is not significantly different from 550.

b) The 95% confidence interval would be given (490.184;559.016).

We are confident at 95% that the true mean is between (490.184;559.016).

Step-by-step explanation:

Part a

Data given and notation

560, 525, 496, 543, 499

The mean and sample deviation can be calculated from the following formulas:

$\bar X =\frac{\sum_{i=1}^n x_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)}{n-1}}$

$\bar X=524.6$ represent the sample mean

$s=27.682$ represent the sample standard deviation

$n=5$ sample size

$\mu_o =550$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the population mean is equal to 550, the system of hypothesis are:

Null hypothesis: $\mu = 550$

Alternative hypothesis: $\mu \neq 550$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{524.6-550}{\frac{27.682}{\sqrt{5}}}=-2.052$

P-value

We need to calculate the degrees of freedom first given by:

$df=n-1=5-1=4$

Since is a one-side left tailed test the p value would given by:

$p_v =P(t_{(4)}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

We can say that at 5% of significance the true mean is not significantly different from 550.

Part b

The confidence interval for a proportion is given by this formula

$\bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}$

The degrees of freedom are 4 from part a

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$t_{\alpha/2}=2.78$

And replacing into the confidence interval formula we got:

$524.6 - 2.78 \frac{27.682}{\sqrt{5}}=490.184$

$524.6 + 2.78 \frac{27.682}{\sqrt{5}}=559.016$

And the 95% confidence interval would be given (490.184;559.016).

We are confident at 95% that the true mean is between (490.184;559.016).

4 0

2 years ago

YES PLS HELP WITH MY GEOMETRY

noname [10]

Answer:

(-7, 31)

Step-by-step explanation:

To solve this equation, simply plug in the numbers. For example, with -3 and -11, you simply plug them into the equation:

-11 = -5 (-3) - 4
After you solve this, you'll see the equation does not come out to -11; rather, it comes out to +11.

Repeat this with all equations, and you will see which are correct. Be careful, however, and remember which number goes into which value.

6 0

3 years ago

PLEASE HELP ME!! THIS IS DIE TODAY PLZ HELP!!

Fed [463]

Answer:

D

Step-by-step explanation:

7 x 6 = 42 divided by 2 21 + 7 x 5 = 35 divided by 2 = 17.5 + 10 x 7 = 70 = 108.5

7 0

2 years ago

Read 2 more answers

Determine the number of icecubes in 32 glases qt the rate of 20 ice cubes in 5 glases

Scrat [10]

Answer:

36 ur welcome

4 0

2 years ago

The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm. What is the volume of the

Mandarinka [93]

Answer:

875 cm^3

Step-by-step explanation:

Here, we want to calculate the volume of the pyramid.

To do this, we need to calculate the area of the base and then multiply this by the height of the pyramid in question

Mathematically since the base is a square, formula for the base area would be ;

L^2 = 5^2 = 125 cm ^2

Now

using the height to get the volume , we have 125 * 7 = 875 cm^3

8 0

2 years ago

Read 2 more answers