Answer:
90 degree Clockwise Rotation
Step-by-step explanation:
Look at the figure and its points. When you rotate the paper clockwise, you will see that D'E'F is in the same position as DEF.
Answer:
<h3><u>x = ⁴¹⁄₅ or 8.2</u></h3>
Explanation:
5x - 8y = 33
y = 1
<em>Insert 1 for 'y' in the equation</em>
5x - 8(1) = 33
<em>Remove parenthesis: (a) = a</em>
5x - 8 · 1 = 33
<em>Multiply 8 · 1: 8</em>
5x - 8 = 33
<em>Add 8 to both sides</em>
5x - 8 + 8 = 33 + 8
Simplify
5x = 41
<em>Divide both sides by 5</em>
5x / 5 = 41 / 5
x = ⁴¹⁄₅
<em>Turn the fraction into a decimal</em>
x = 8.2
It produces 500 per hour and those are divided into 50 piece bundles. so if we divide by 50 we will see how many bundles.
500/50 = 10.
it says that he does 10 bundles an hour and we found it makes 10 bundles per hour so it will take him the exact amount of hours that they run to load.the bundles.
it runs 3 shifts that are 4 hours. so to get the hours we can multiply 3 shifts by 4 hours
3 * 4 = 12 hours
if it did not.match we.could have kept going like this
so 10 bundles per hour for 12 hours is
10 * 12 = 120 bundles
he runs 10 bundles in an hour so we can divide the total by the amount per hour and gwr.how long it takes
120 / 10 = 12 hours
Answer: 1
Step-by-step explanation:
substitute x with 0 in the polynomial so we get,
-3^x
= -3^0
= 1 ( because any number raised to 0 is 1)
Hope it helps:)
Answer:
B. The difference of the medians is about one-fourth the interquartile range of either data set
Step-by-step explanation:
Given the heights of preschool boys in cms
105.1 104.8 101.3 87 86.7 95 93.8 92.1 92.4 100
Arrange them in ascending order
86.7 87 92.1 92.4 93.8 95 100 101.3 104.8 105.1
Median = 93.8: Q1 = 87:Q3=101.3
IQR = Q3-Q1 = 4.3
Given the heights of preschool girls in cms
85.2 90.3 99.6 98.6 97.5 101.7 102.9 89.4 107 92
Arrange them in ascending order
85.2 89.4 90.3 92 97.5 98.6 99.6 101.7 102.9 107
Median = 97.5: Q1 = 89.4:Q3=101.7
IQR = 4.2
Differnce in the medians = 3.7
Diff in IQR = 0.1
B. The difference of the medians is about one-fourth the interquartile range of either data set because
0.4 = 4(0.1)