Answer:
_
Step-by-step explanation:
Answer:
10 and 18
Step-by-step explanation:
a + 2b = 46
A + 2(b+8) = 46
b + 2b + 16 = 46
3b+ 16 = 46
3b = 30
b = 10
That’s the first number.
b is 10 so a is 10+8 = 18 because it’s 8 more then the other number.
b + 2a = 46
(10) + 2(18) = 46
10 + 36 = 46
46 = 46
Re-arranging the numbers;
13.0, 13.5, 13.6, 14.1, 14.8, 15.8, 19.1, 21.6, 26.0, 30.8
Mean, x_bar = (13.0+13.5+13.6+14.1+14.8+15.8+19.1+21.6+26.0+30.8)/10 = 18.23
Standard deviation, sigma = Sqrt [{(13-18.23)^2+(13.5-18.23)^2+(13.6-18.23)^2+(14.1-18.23)^2+(14.8-18.23)^2+(15.8-18.23)^2+(19.1-18.23)^2+(21.6-18.23)^2+(26-18.23)^2+(30.8-18.23)^2}/10] = Sqrt [{27.3529+22.3729+21.4369+17.0569+11.7649+5.9049+0.7569+11.3569+60.3729+158.0049}/10] = Sqrt [336.381/10] = 5.8
Therefore,
x_bar = 18.23
sigma = 5.8
At 99% confidence, Z = 2.58
Confidence interval = x_bar +/- Z*sigma/Sqrt (n) = 18.23+/- 2.58*5.8/Sqrt (10) = 18.23+/-4.73 = [(18.23-4.73), (18.23+4.73)] = [13.5,22.96]
Answer:
4 feet.
Step-by-step explanation:
Please consider the complete question.
Angela makes a pillow in the shape of a wedge to use for watching tv. The pillow is filled with 12 cubic feet of fluffy material. The base is 3 ft, the height is 2 ft. What is the length measure?
We know that a wedge is in form of triangular prism, so the volume of wedge will be equal to volume of triangular prism.
Upon substituting our given values in above formula, we will get:
Therefore, the length of the pillow is 4 feet.
Answer:
solved the solution incorrectly and graphic their solution correctly.
Step-by-step explanation:
this is because if 4x + 1<= -4
the next step will be to subtract 1 from both sides.
BUT if their solution is x<= 2, they objectively graphed it correctly
