The total cost of the materials calculated by the worker on the notebook is $325.52
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
The total cost of materials = 7(43.75) + 2(4.69) + 9.89 = $325.52
The total cost of the materials calculated by the worker on the notebook is $325.52
Find out more on equation at: brainly.com/question/2972832
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76 kilometers per day.
Step by step
468 divided by 6 = 76
76•6=468
<h3>
Answer: 45/121</h3>
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Work Shown:
2 blue, 4 red, 5 green
2+4+5 = 11 total
P(blue) = probability of getting one blue marble
P(blue) = (number of blue)/(number total)
P(blue) = 2/11
A = P(2 blue) = (2/11)*(2/11) = 4/121
P(red) = 4/11
B = P(2 red) = (4/11)*(4/11) = 16/121
P(green) = 5/11
C = P(2 green) = (5/11)*(5/11) = 25/121
Add the values of A,B, and C to get the probability of getting two of the same color
A+B+C = 4/121+16/121+25/121 = 45/121
This is approximately equal to 0.3719 which is roughly a 37.19% chance of happening
Side note: we can add A,B, and C because they are mutually exclusive events.
Step-by-step explanation:
Let us consider the task to find the angle between vectors ES and EJ (the first letters are taken to name the vectors).
\overrightarrow{ES} = (4;4) - (4; -3) = \overrightarrow{(0; 7)}
ES
=(4;4)−(4;−3)=
(0;7)
\overrightarrow{EJ} = (-5; -4) - (4; -3) = \overrightarrow{(-9; -1)}
EJ
=(−5;−4)−(4;−3)=
(−9;−1)
cos \alpha=\frac{\overrightarrow{ES}*\overrightarrow{EJ}}{|\overrightarrow{EJ}|*|\overrightarrow{ES}|}cosα=
∣
EJ
∣∗∣
ES
∣
ES
∗
EJ
cos(a) = (0*(-9)+7*(-1)) / (7*9.055) = -0.11043;
a = 96,34°
Solution: 96 degrees.
