You have three figures here: a parallelogram, a rectangle, and a trapezoid.
area of a parallelogram =bh
area of a parallelogram =18 x 16
area of a parallelogram =288 ft²
area of a rectangle= wl
area of a rectangle= 17 x 56
area of a rectangle= 952 ft²
area of a trapezoid= base1 +base2/2 *h
area of a trapezoid=21+38/2 *16
area of a trapezoid= 59/2 *16
area of a trapezoid= 29.5 *16
area of a trapezoid=472ft²
The last step is to add all three areas together.
288 ft² + 952 ft² + 472 ft² = 1712ft²
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❖ AB: 8 units (add -6 + -2 = -8 so 8 units)
BC: 4 units (add -2 + -2 = -4 so 4 units)
CD: 8 units (add -2 + -6 = -8 so 8 units)
AD: 12 units (add -6 + -6 = -12 so 12 units)
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Answer:
a bell shape
Step-by-step explanation:
Answer:
x > 8
Explanation:
−2x + 12 < −4
[<em> Subtract 12 from both sides </em>]
−2x + 12 − 12 < −4 − 12
−2x < −16
[ <em>Divide both sides by -2 </em>]
-2x / -2 < -16 / -2
x > 8
Answer:
Probability that next week's show will have between 30 and 37 million viewers is 0.2248.
Step-by-step explanation:
We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.
<em>Let X = number of viewers for the American Idol television show</em>
So, X ~ N()
Now, the z score probability distribution is given by;
Z = ~ N(0,1)
where, = population mean = 26 million
= standard deviation = 8 million
So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X 30)
P(X < 37) = P( < ) = P(Z < 1.38) = 0.91621
P(X 30) = P( ) = P(Z 0.50) = 0.69146
<em>Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248</em>
Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.