Answer:
#11-13: 118 , 97 , 62
#7-10: 92 , 125 , 56 , 130
Step-by-step explanation:
#11. Supplementary angles (A + B = 180)
- (n + 7) + (3n - 47) = 180
- n = 55
- <ABC = 3(55) - 47 = 118 degrees
#12. Supplementary angles
- 83 + x = 180
- x = 97
- <ABC = 97 degrees
#13. Congruent angles (A = B)
- (8x - 34) = (5x +2)
- x = 12
- <DEF = 5 (12) + 2 = 62 degrees
#7. Congruent angles
- (3x +23) = 4x
- x = 23
- <ABC = 4(23) = 92 degrees
#8. Congruent angles
- 5x = (3x + 50)
- x = 25
- <MPQ = 3(25) + 50 = 125 degrees
#9. Congruent angles
- (a + 28) = 2a
- a = 28
- <MNP = (28) + 28 = 56 degrees
#10. Congruent angles
- 5y = (2y + 78)
- y = 26
- <WXZ = 5(26) = 130 degrees
I hope this helps!
Answer:
A sample of 997 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of
.
The margin of error is of:

A previous study indicates that the proportion of left-handed golfers is 8%.
This means that 
98% confidence level
So
, z is the value of Z that has a p-value of
, so
.
How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?
This is n for which M = 0.02. So






Rounding up:
A sample of 997 is needed.
Answer and Step-by-step explanation:
<u>Mandy travels more miles.</u>
We determine this by multiplying the distance from home by the number of trips.
For Mandy, she lives 10 miles away from school, and takes 9 trips. 9 times 10 is 90 miles.
For Matt, he lives 8 miles away from school, and takes 11 trips. 11 times 8 is 88 miles.
Many travels 2 more miles in total than Matt.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
Step-by-step explanation:
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Answer:
The length of each ribbon is 1.6 inches
Step-by-step explanation:
From the question, we are told that:
Kenedi has a piece of ribbon that measures 24 inches long. She cuts the ribbon into 15 equal pieces to attach to her dance costume
Hence, the expression that can be used to show how to calculate the length of each piece of ribbon is given as:
24 inches ÷ 15 pieces
= 24 ÷ 15
= 1.6 inches
Therefore, the length of each ribbon is 1.6 inches