Let Robs weekly allowances be X
he spent half f it n candy so he spent X/2
he gardened for $7 extra and at the end he had $12
so to calculate his weekly allowances, we will develop the following equation
X/2 +7=12
X/2=12-7
X/2=5
X=5x2
X=10
Rob's weekly allowance is $10
Answer:
a = -11, 17.
Step-by-step explanation:
-7 = |a-3| / -2
Multiply both sides by -2:
|a - 3| = 14
So a - 3 = 14
Giving a = 17
or
a - 3 =- -14
giving a = -11.
Checking these values:
-7 = |17-3| / -2 = 14/-2 = -7
- so a = 17 is a solution.
-7 = |-11-3| / -2 = 14/-2 = -7
so a = -11 is also a solution.
Answer:
a. 55.56%
b. 44.44%
c. 3.33%
d. 33.33%
Step-by-step explanation:
total supply = 180
a. In the first factory the total number obtained = 100
probability that the chosen part is from the first
= 100/180
= 0.5556
= 55.56%
b. In the second factory total = 80
probability that the chosen part is from the second
= 80/180
= 0.4444
= 44.44%
c. probability that part chosen at random from 180 is defective
= 2% * 0.5556 + 5% * 0.4444
= 0.02*0.5556 + 0.05*0.4444
= 0.011112 + 0.0222
= 0.03331
= 3.33%
d. probability it came rom the first factory if it is defective
= 
= 
= 0.33357
= 33.33%
A) Use the trigonometric function and ratio cos(x) = A/H. (Adjacent/Hypotenuse)
1. cos(x) = 135/H
2. H*cos(16°) = 135
3. H = 135/cos(16°)
***Make sure calculator is in degree mode***
4. H = 140.44 ft (rounded to two decimal places)
________
b) Use the function and ratio tan(x) = O/A (Opposite/Adjacent)
1. tan(x) = O/A
2. tan(16°) = O/135
3. 135*tan(16°) = O
4. O = 38.71 ft (two decimal places)
Good luck!
Pick 2 points on ur line and use the slope formula : (y2 - y1) / (x2 - x1)
(y2 - y1) / (x2 - x1)
(-9,0)....x1 = -9 and y1 = 0
(0,6).... x2 = 0 and y2 = 6
now sub
slope = (6 - 0) / (0 - (-9) = 6/(0 + 9) = 6 / 9 = 2/3 <==
ur y intercept is where ur line crosses the y axis...and that would be (0,6)....or just 6 <==
