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Since these are supplementary angles (two angles which sum to 180°) we can say:
4x+x=180 combine like terms on left side
5x=180 divide both sides by 5
x=36°
Answer:
4.66
Step-by-step explanation:
We are given the following data
26, 26, 21, 22, 20, 25, 35
Step 1
We find the Mean
Mean = 26+ 26+ 21+ 22+20+25+ 35/7
= 175/7
= 25
Step 2
We find the Standard Deviation
The formula for Standard deviation that we would use is the Population Standard deviation, this is because the data given above is the data of the number of pounds of trash collected by each teenager
= √(x - Mean)²/n
= √(26 - 25)²+( 26 - 25)²+ (21 - 25)²+ (22 - 25)² +(20 - 25)²+(25 - 25)²+ (35 - 25)²/7
= √152/7
= √21.7142857
= 4.65985898
Approximately = 4.66
Answer:
Answers are below
Step-by-step explanation:
12) No because the scale factor is not the same between the two rectangles
13) Yes. TUV is congruent to XYZ. The scale factor is 3/4.
14) Yes. I used SAS to see whether or not the triangles were similar. PQR is congruent to UVW.
15) Yes. I used 14) Yes. I used SAS to see whether or not the triangles were similar. DGH is congruent to FEH.
Answer:
0.3907
Step-by-step explanation:
We are given that 36% of adults questioned reported that their health was excellent.
Probability of good health = 0.36
Among 11 adults randomly selected from this area, only 3 reported that their health was excellent.
Now we are supposed to find the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health.
i.e. 
Formula :
p is the probability of success i.e. p = 0.36
q = probability of failure = 1- 0.36 = 0.64
n = 11
So,
Hence the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.3907
