Answer:
x=1
Step-by-step explanation:
2(x + 1) + 4 = 8
2x+2+4=8
2x+6=8
2x+6-6=8-6
2x=2
x=1
Sorry I just wanted freee pointed
Answer:
P(x< 18) = 0.986
Step-by-step explanation:
Step 1: find the z-score using the formula, z = (x - µ)/σ
Where,
x = randomly chosen values = 18
µ = mean = 7
σ = standard deviation = 5
Proportion of the population that is less than 18 = P(x < 18)
Plug in the values into z = (x - µ)/σ, to get z-score.
z = (18 - 7)/5
z = 11/5 = 2.2
Step 2: Find P(x< 18) = P (z<2.2) using z-table.
The probability that corresponds with z-score calculated is 0.986.
Therefore,
P(x< 18) = 0.986
Answer:
98.596
Step-by-step explanation:
formula - v=π2×h
(3.14)2×10=
The measurements are:<span>
b</span>₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches<span>
Let x = length of base and leg
The formula for perimeter of isosceles trapezoid is P = b₁ + b₂ + 2(leg)</span><span>
Where: b = base
<span> P = b</span>₁ +
b₂ + 2(leg)</span><span>
<span> 28 = 3x + 5x + 2(x)</span>
<span> 28 = 8x + 2x</span>
28/10 = 10x/10
<span> 2.8 = x</span>
Now, substitute the values:
<span> P = b</span>₁ +
b₂ + 2(leg)</span><span>
<span> 28 = 3(2.8) + 5(2.8) + 2(2.8)</span>
28 = 8.4 + 14 + 5.6
28 = 28
Hence the measurements are:
b₁ =
8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂<span> =
2.8 inches</span></span>
