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Deffense [45]
2 years ago
9

Which card on the bottom is the statement and which 3 cards are the reasons?

Mathematics
1 answer:
kenny6666 [7]2 years ago
8 0

Answer: ↓↓↓

Step-by-step explanation:

1. EF || HG, HE || FG

2. Reflexive Property

3. Alternate Interior Angles

4. SAS

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Rena wrote all the integers from 1 to 12. <br><br> How many numbers did she write?
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Answer:

15

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3 years ago
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Independent random samples of vehicles traveling past a given point on an interstate highway have been observed on monday versus
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Hi! 

To compare this two sets of data, you need to use a t-student test:

You have the following data:

-Monday n1=16; <span>x̄1=59,4 mph; s1=3,7 mph

-Wednesday n2=20;  </span>x̄2=56,3 mph; s2=4,4 mph

You need to calculate the statistical t, and compare it with the value from tables. If the value you obtained is bigger than the tabulated one, there is a statistically significant difference between the two samples.

t= \frac{X1-X2}{ \sqrt{ \frac{(n1-1)* s1^{2}+(n2-1)* s2^{2} }{n1+n2-2}} * \sqrt{ \frac{1}{n1}+ \frac{1}{n2}} } =2,2510

To calculate the degrees of freedom you need to use the following equation:

df= \frac{ (\frac{ s1^{2}}{n1} + \frac{ s2^{2}}{n2})^{2}}{ \frac{(s1^{2}/n1)^{2}}{n1-1}+ \frac{(s2^{2}/n2)^{2}}{n2-1}}=33,89≈34

The tabulated value at 0,05 level (using two-tails, as the distribution is normal) is 2,03. https://www.danielsoper.com/statcalc/calculator.aspx?id=10

So, as the calculated value is higher than the critical tabulated one, we can conclude that the average speed for all vehicles was higher on Monday than on Wednesday.



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Step-by-step explanation:

4+35+52

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4+35x+52x

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rearrange terms

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