Answer:
10. 105
11. 75
12. 75
13. 105
14. 75
15. 105
Step-by-step explanation:
Notice that 75? Anything that is adjacent (has a common vertex like 75º) to the vertex is a linear pair. here is an example below:
Since there is only THAT 75, you must find the supplementary angle (adds up to 180). and remember in order to get a supplementary angle it has to be a STRAIGHT LINE and HAS TO EQUAL 180. (4, 1 in your image)
180 - 75 = 105.
and also it's also a linear pair so it reflects too which makes things a lot easier!
So, if 4 is 75 and it reflects, then that means 2 is also 75. 1 is 105 and it reflects so 3 has to be 105. and the same for the rest of the numbers.
Hope this makes sense
~R3VO
Answer:
12.3
Step-by-step explanation:
Step 1
We find the mean
The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100
Mean = Sum of terms/Number of terms
Number of terms = 10
Mean = 61 + 67 + 81 + 83 + 87 + 88 + 89 + 90 + 98 + 100/10
Mean = 844/10
Mean = 84.4
Step 2
Standard deviation
The formula for sample standard deviation =
√(x - Mean)²/n - 1
= √[(61 - 84.4)² + (67 - 84.4)² + (81 - 84.4)² + (83 - 84.4)² + (87 - 84.4)² + (88 - 84.4)² + (89 - 84.4)² + (90 - 84.4)² + (98 - 84.4)² + (100 - 84.4)²]/10 - 1
=√ 547.56 + 302.76 + 11.56 + 1.96 + 6.76 + 12.96 + 21.16 + 31.36 + 184.96 + 243.36/10 - 1
= √1364.4/9
= √151.6
= 12.31259518
Approximately to the nearest tenth = 12.3
The standard deviation = 12.3
Answer: you could do store A is $8 per hour, and thirteen $13 per day, store B can be $3 per hour, $18 per day
I'm not too confedent but I'm still happy to help!
Answer:
2x + 6y ≤ 120
Step-by-step explanation:
From the above question, we are told that: No more than 120 lb of sausage links and briskets will be cooked on the grill.
Let
x = Number of sausage links
y = Number of Briskets
The word NO MORE THAN means less than or equal to 120 lb and this word is represented by the inequality sign:
≤
Sausage links = 2 lb each
Briskets = 6 lb each
The inequality =
2lb × x + 6lb × y ≤ 120lb
2x + 6y ≤ 120
Therefore, the inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked is given as:
2x + 6y ≤ 120
