Answer:
115.48
Step-by-step explanation:
This shape can be split into two distinct shapes
Two halves of a semi circle, and a rectangle in between
Circle:
Putting both halves of the semi circle together will give you a full circle. The diameter of the circle is given (7m).
The area of a circle is A = π 
The radius, r, is half of the diameter, so 7 / 2 = 3.5m
A = π
A = π * 
A = 38.38
Rectangle:
The area of a rectangle is A = h b
The height, h, is known at 7m
The base, b, can be found by removing the length from the dot to the end of the semi circles. This length is the radius of the semi circles, 3.5m
Removing the radius from the total length given
18 - 3.5 - 3.5 = 11m
The base is 11m
A = h b
A = 7 * 11 = 77
Total Area = Circle area + Rectangle area
Total Area = 38.38 + 77 = 115.48
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: hourly wage of a high school student
X~N(μ;σ²)
X[bar]= $8.25
σ= $0.25
For a 95% CI for the average hourly wage for<u> 1 </u>high school student:
For this exercise you have to consider the sample size n=1
a) The margin of error of the CI is calculated as:
d= 
* σ
1-α: 0.95 ⇒ α:0.05
1-α/2:0.975
d= 1.96 * 0.25= 0.49
b)
The formula for the interval is
X[bar] ± * σ
[8.25 ± 0.49]
[7.76; 8.74]
With a 95% you'd expect the interval $[7.76; 8.74] to include the average hourly wage of one high school student in Illinois.
c)
Te calculated interval is $ [7.76; 8.74] the value $9.15 does nor fall within that acceptable range.
I hope this helps!
<em>Given: JK = 3x - 5, KL = 2x + 1
</em>
<em>The sum of the segments JK and KL will equal the length of the segment JL = 16
</em>
<em>So we can write:
</em>
<em>3x - 5 + (2x + 1) = 16 [JK + KL = JL]</em>
<em>Collect terms, solve for x:
</em>
<em>5x - 4 = 16
</em>
<em>5x = 20
</em>
<em>x = 4
</em>
<em>JK = 3x - 5 = 3*4 - 5 = 12 - 5 = 7
</em>
<em>Ans: 7</em>
Answer:
$44.021
Step-by-step explanation:
$47.98 - 8.25% = $44.021
