Answer:
£83.70
Step-by-step explanation:
→ First step is to find the amount of hours it takes for one builder
We know it takes 5 builders 
hours so 1 builder would take 5 × which is 
hours so it takes one builder 17.5 hours to builder a wall
→ Now we know how long one work takes we need to find out the time for 2 builders
1 builder = 17.5 hours
2 builders = 17.5 ÷ 2 = 8.75 hours
So 2 builders take 8.75 hours
→ We know that each builder is paid £9.30 for each or part hour they work so
9.30 hourly pay rate × 9 hours work of work = £83.70
Each worker will be paid £83.70
Answer:
This can be solved by using the empirical rule for a normal distribution.
Step-by-step explanation:
A. The number of skateboards given is one standard deviation above the mean. Approximately 68% of the data points lie within the range plus and minus one standard deviation of the mean. Therefore the required percentage is:
68 + 16 = 84%.
B. The given number of skateboards is two standard deviations above the mean. Approximately 95% of the data points lie within the range plus and minus two standard deviations of the mean. Therefore the required percentage is:
5/2 = 2.5%
C.The given number of skateboards is one standard deviations below the mean. Therefore the required percentage is:
16%.
Answer:
16.2
Step-by-step explanation:
Tan(angle)=opposite/ adjacent
Angle= 45
Opposite side= x
Adjacent side =10
Substitute into equation: tan(45) = x/ 10
Rearrange (multiply each side by 10): 10 x tan(45) = x
Then work it out on calculator
If 1 box weighs 7.5 pounds, then we find the weight for 15 boxes with this equation:
15*7.5
Multiply:
112.5
15 boxes weight 112.5 pounds
<h3>
Answer: 112.5 square units</h3>
Work Shown:
A = area of the triangle
A = base*height/2
A = 9*7/2 = 63/2 = 31.5 ... see note1 below
B = area of rectangle
B = base*height
B = 9*3 = 27
C = area of parallelogram
C = base*height .... see note2 below
C = 9*6 = 54
If you're confused where I got the 6 from, check out the attached image below.
D = total area of the composite figure
D = A+B+C
D = 31.5 + 27 + 54
D = 112.5
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note1: The vertical component of the triangle is 9 units because this is part of the rectangle. The rectangle has opposite sides that are the same length. The parallelogram's vertical sides are 9 units long as shown by the single tickmark.
note2: a rectangle is essentially a special case of a parallelogram. In other words, a rectangle is a parallelogram with 4 right angles. So this is why the formula "area = base*height" shows up identical for both rectangles and parallelograms. Keep in mind that the height is always perpendicular to the base. You will not use the segments marked with double tickmarks.
