Jestio

triangle J'K'L' shown on the grid below a dilation of triangle JKL using the origin as the center of dilation:

-BARSIC- [3]

Answer: b) 3

<u>Step-by-step explanation:</u>

From K to L the y-length is 2 and the x-length is 1

From K' to L' the y-length is 6 and the x-length is 3

Therefore, J'K'L' is 3 times as large as JKL so the dilation is 3.

6 0

4 years ago

Please hurry , help please??? find the values of the variables

MArishka [77]

Answer:

x=60

Step-by-step explanation:

The angles here are alternate interior angles, this means that they are congruent. Congruent means that they are equal to each other, so to solve just set them equal! (Your variable is x so you're solving for that)

$2x=120\\x=60$

Hope this helps! :)

7 0

3 years ago

Over the past several years, the proportion of one-person households has been increasing. The Census Bureau would like to test t

bixtya [17]

Answer:

For this case we can find the critical value with the significance level $\alpha=0.05$ and if we find in the right tail of the z distribution we got:

$z_{\alpha}= 1.64$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.344 -0.27}{\sqrt{\frac{0.27(1-0.27)}{125}}}=1.86$

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27

Step-by-step explanation:

We have the following dataset given:

$X= 43$ represent the households consisted of one person

$n= 125$ represent the sample size

$\hat p= \frac{43}{125}= 0.344$ estimated proportion of households consisted of one person

We want to test the following hypothesis:

Null hypothesis: $p \leq 0.27$

Alternative hypothesis: $p>0.27$

And for this case we can find the critical value with the significance level $\alpha=0.05$ and if we find in the right tail of the z distribution we got:

$z_{\alpha}= 1.64$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.344 -0.27}{\sqrt{\frac{0.27(1-0.27)}{125}}}=1.86$

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27

5 0

3 years ago

ASAP 2 PICTURES <br>Which line is the best model for the data in the scatter plot?

Ilia_Sergeevich [38]

Answer:

D, the last graph

Step-by-step explanation:

The line of best fit should be passing through the middle and be like a symmetric line.

Best one is the option D, line passing through points (0, 3) and (5, 5), the last graph.

8 0

3 years ago

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.42 before the discount, and

guapka [62]

Answer:

77.30

Step-by-step explanation:

ur welcome

8 0

3 years ago

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