Let's use our largest amount (quarter) to see how many can fit evenly into 1.74.
- 1.74/0.25 = 6.96
- The most quarters that can fit into $1.74 is 6.
---Multiply $0.25 by 6 = $1.50
---Subtract $1.50 from $1.74 = $0.24
---We need to use the rest of the coins to fill up $0.24.
Now let's use our second largest amount (dime) to see how many can fit evenly into 0.24.
- 0.24/0.10 = 2.4
- The most dimes that can fit into $0.24 is 2.
---Multiply $0.10 by 2 = $0.20
---Subtract $0.20 from $0.24 = $0.04
No nickels can fit into $0.04, because they are worth $0.05.
We can use our least amount (pennies) to fill in the $0.04 remaining.
Your answer is 6 quarters, 2 dimes, and 4 pennies.
By formula we know that:
z (x) = (x - m) / [sd / sqrt (n)]
where x is the value we want to know (6.7), m is the mean (5), sd is the standard deviation (7.1) and n is the sample size (29).
Replacing we have:
z (6.7) = (6.7 - 5) / [7.1 / sqrt (29)]
z = 1.289
If we look in the normal distribution table (attached), we have that the probability is 0.8997, therefore:
1 - 0.8897 = 0.1003
So the conditional probability of a herd sample earning at least 6.7 pounds per steer is 10.03%.
Now the hypothesis tells me:
m> 5
The probability is somewhat low, therefore, the most correct thing is to reject the hypothesis even though it is a fact that can occur.
I would go with A, but I'm not positive.
Based on the picture above,
The theorem or postulate that justifies that Angle HEF ~ angle HGE is :
A. AA similarity postulate
(s is used for equal side, that is used for congruent)
hope this helps
Answer:
See below
Step-by-step explanation:
17. 17x + 3 x=4 18. -2x + 1 / 3 x= -5
17(4) + 3 - [(2)(-5) + 1] / 3
68 + 3 - [-10 + 1] /3
71 9/3 or 3
19. 2x - 33 x=9 20. - 9x - 2 x=7
(2)(9) - 33 -(9)(7) - 2
18 - 33 -63 - 2
- 15 -65
21. 7/3x - 9 x=3 22. - [12x/5] x= -1
(7/3)(3) - 9 - [(12)( -1)/5]
7 - 9 - [ -12/5 ]
-2 2.4
23. 11x - 11 x = -11 24. (2/9)x - (9/2) x= 9
- 121 - 11 (2/9)(9) - (9/2)
-132 2 - (9/2) ( 2 can be shown as 4/2)
(4/2) - (9/2)
- 5/2 or - 2.5
25. f(x) = 0.12x + 4.52 x = 250 26. f(x) = 0.18x + 3.12 x= 175
= (0.12)(250) + 4.52 = (0.18)(175) + 3.12
= 30 + 4.52 = 31.50 + 3.12
= 34.52 = 34.62
