Answer:
3) -11 + 11
Step-by-step explanation:
-11+11=0
Answer:
-2 = x
Step-by-step explanation:
4(1-x)+3x = -2(x+1) Distribute
4 - 4x + 3x = -2x -2 Combine Like Terms (On the same sides of the equal sign)
4 -x = -2x -2 Combine Like Terms (On different sides of the equal sign)
4 = -3x - 2 Solve
6 = -3x
-2 = x
Answer:
217 ft^2
Step-by-step explanation:
Area for triangle is 1/2 bh
The b is the base and h is the height
For the base, 4 is included but we need to find the other piece for the base. so…
8 + 9 = 11 + ?
17 = 11 + ?
? = 17 - 11
? = 6
Then add 6 and 4
10
so the base of the triangle is 10. now…
10 x 7 = 70/2 = 35
The area of the triangle is 35
Now the square
8 x 7 = 56
The area of the square is 56
Finally the rectangle
9 x 14 = 126
The area of the rectangle is 126
Now add the areas for all of the shapes
35 + 56 + 126 = 217 ft^2
The area of the figure is 217 ft^2
To solve this problem, we make use of the z statistic.
The formula for the confidence interval can be calculated using the formula:
Confidence Interval = p ± MOE
where,
p is the portion of girls = 278 / 556 = 0.5
MOE is the margin of error
We calculate the margin of error using the formula:
MOE = z * sqrt[p (1 – p) / n]
From the standard distribution tables, the value of z at 99% confidence is:
z = 2.58
Therefore the MOE is:
MOE = 2.58 * sqrt[0.5 (0.5) / 556]
MOE = 0.055
Therefore the confidence interval is:
Confidence Interval = 0.5 ± 0.055
Confidence Interval = 0.445, 0.555
0.445<p<0.555
Answer:
1.pentagon 2.cross 3.hexagon 4.triangular prism 5.sphere
