A crate full of oranges weighed 15 lb.
1 answer:
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Answer:
Step-by-step explanation:
Given the dataset 147, 154, 156, 161, 162,
Mean is the sum of the dataset divided by the total number of dataset.
a) Mean =
b) The formula for calculating the deviation from the mean for each value is expressed as where;
Xi is value of each item
xbar is the mean = 156
Mean deviation of 147 = 147-156 = -9
Mean deviation of 154 = 154-156 = -2
Mean deviation of 156 = 156-156 = 0
Mean deviation of 161 = 161-156 = 5
Mean deviation of 162 = 162-156 = 6
c) Sum of the deviations = (-9-2+0+5+6)
= -11+11
= 0
<em>Hence the sum of deviation from the mean is 0</em>
Translating shape A by the vector means translating 1 unit right and 4 unit up to get A'(4, 7), B'(7, 7), C'(7, 5) and D'(4, 5)
Transformation is the movement of a point from its initial point to a new location. Types of transformation are<em> reflection, rotation, translation and dilation.</em>
Let us assume that the vertices of shape A is at A(3, 3), B(6, 3), C(6, 1) and D(3, 1)
Translating shape A by the vector means translating 1 unit right and 4 unit up to get A'(4, 7), B'(7, 7), C'(7, 5) and D'(4, 5)
Find out more on transformation at: brainly.com/question/4289712
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Answer:
44 hours
Step-by-step explanation:
Topic of this question: Creating and Solving Equations, Rates, and Proportions
<h2>Method 1: Creating and Solving Equations</h2>Step 1: Find the amount drilled per hour
To do this, we have to divide the amount drilled by the number of hours it took to drill and find how much is being drilled per hour.
(I know it's a mouthful)
-72ft = 24x, where x is the amount drilled per hour
-72ft ÷ 24 = x
-3ft = x
-3ft per hour
Step 2: Find how many hours it takes to drill to -132 ft
Since we know the rate of drilling per hour, we can divide the target amount by the amount drilled per hour
-132 ÷ -3 = y, where y is the number of hours it takes
44 = y
y = 44
It will take a total of 44 hours to drill to -132 ft
<h2>Method 2: Proportions</h2>We can set up a proportion like this, where we know that it takes 24 hours to drill 72 ft, but we don't know how long it takes to drill 132 feet
Cross multiply
Simplify
Divide both sides by -72
It will take a total of 44 hours to dig to -132 ft
-Chetan K