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givi [52]
3 years ago
13

Find the missing length. The triangles are similar.

Mathematics
1 answer:
olga55 [171]3 years ago
6 0

Answer:

28

Step-by-step explanation:

The ratio of the triangles is 12:15 which is equal to 4:5

Then you can use that ratio to find the ?

35 would be the 5 so 4 would be multiplyed by 7

Which is equal to 28

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so |-2| = 2
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Select the expressions that are equivalent to 7(7w).
Jet001 [13]

Answer:

answers are A and C

Step-by-step explanation:

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3 years ago
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3 years ago
Researchers wanted to determine if having a supply of sugary snacks in the bedroom is associated with obesity. The researchers a
I am Lyosha [343]

Answer:

c)

Step-by-step explanation:

The definition of an observational study is: one where researchers observe the effect of a risk factor or an intervention but they do not try to change who is exposed to the factor.

In this particular example, the researchers administered a questionnaire to 391 twelve-year-old and concluded that the body mass index of the adolescents who had a supply of sugary snacks in their bedroom was significantly higher than that of the adolescents who did not have a supply of sugary snacks in their bedroom.

This is not an observational study because the researchers actually administered a questionnaire and analyzed the results. To be an observational study the individuals would have been observed without any intervention (the questionnaire could have had an effect on the adolescents changing their habits)

7 0
3 years ago
The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals w
alukav5142 [94]

Answer:

Part 1

a. Sum of Squares, Treatment= 61

b. Sum of Squares, Error= 7.5

c. Mean Squares, Treatment = 30.5

d. Mean Squares, Error= 0.5

2. the F value lies in the rejection region > 3.6823

3. The value of the test statistic = 61

4. The p-value is < 0.00001

5. Conclusion

Since p-value < α, H0 is rejected.

6. Between x`2 and x`3

7. Fisher's Least Significant Difference value almost 0.869

8.There is a significant difference between the means

Step-by-step explanation:

Summary of Data

                       <u>   Treatments</u>

                       1             2             3                 Total

n                      6             6             6                   18

∑x                   42          57           30                  129

Mean              7            9.5           5                  7.167

<u>∑x2              298         543        152                    993</u>

<u>Sd.D       0.8944     0.5477     0.6325           2.0073</u>

ANOVA Table

<u>Source                                  SS              df                  MS </u>

Between-treatments           61              2                   30.5       F = 61

<u>Error                                     7.5           15                     0.5 </u>

<u>Total                                     6             8.5                     17 </u>

a. Sum of Squares, Treatment= 61

b. Sum of Squares, Error= 7.5

c. Mean Squares, Treatment = 30.5

d. Mean Squares, Error= 0.5

2. Using alpha= 0.05 the F value lies in the rejection region i.e F > 3.6823

x1` -x2`= 7-9.5= -2.5 Not significant as difference <3.68

x1`- x3`= 7-5= 2 Not significant as difference <3.68

x2` -x3`= 9.5-5= 4.5 Significant as difference > 3.68

3. The value of the F test statistic = 61

4. The p-value is < 0.00001

5. Conclusion

<em>Since p-value < α, H0 is rejected.</em>

6. Using alpha= .05, differences occurs between x2` and x3` as their difference is greater than 3.68

7. Fisher's Least Significant Difference value almost 0.869

Least Significant Difference= t( 0.025,15) √2s²/r s²= 0.50 r= 6 =n1=n2=n3

Least Significant Difference= 2.13 √ 2*0.50/ 6

=0.869

8.There is a significant difference between the means

x1` -x2`= 7-9.5= -2.5 Significant as difference > Least Significant Difference

x1`- x3`= 7-5= 2 Significant as difference > Least Significant Difference

x2` -x3`= 9.5-5= 4.5 Significant as difference > Least Significant Difference

6 0
3 years ago
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