Answer:
The measure of angle A is ![101\°](https://tex.z-dn.net/?f=101%5C%C2%B0)
Step-by-step explanation:
we know that
Applying the law of cosines
![a^{2} =b^{2}+c^{2}-2(b)(c)cos(A)](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%3Db%5E%7B2%7D%2Bc%5E%7B2%7D-2%28b%29%28c%29cos%28A%29)
substitute the values and solve for cos(A)
![31^{2} =22^{2}+18^{2}-2(22)(18)cos(A)](https://tex.z-dn.net/?f=31%5E%7B2%7D%20%3D22%5E%7B2%7D%2B18%5E%7B2%7D-2%2822%29%2818%29cos%28A%29)
![cos(A)=[22^{2}+18^{2}-31^{2}]/(2(22)(18))\\ \\cos(A)=-0.193182\\ \\A=arccos(-0.193182)=101\°](https://tex.z-dn.net/?f=cos%28A%29%3D%5B22%5E%7B2%7D%2B18%5E%7B2%7D-31%5E%7B2%7D%5D%2F%282%2822%29%2818%29%29%5C%5C%20%5C%5Ccos%28A%29%3D-0.193182%5C%5C%20%5C%5CA%3Darccos%28-0.193182%29%3D101%5C%C2%B0)
Just so you know, there's no diagram
Answer:
B. No, this distribution does not appear to be normal
Step-by-step explanation:
Hello!
To observe what shape the data takes, it is best to make a graph. For me, the best type of graph is a histogram.
The first step to take is to calculate the classmark`for each of the given temperature intervals. Each class mark will be the midpoint of each bar.
As you can see in the graphic (2nd attachment) there are no values of frequency for the interval [40-44] and the rest of the data show asymmetry skewed to the left. Just because one of the intervals doesn't have an observed frequency is enough to say that these values do not meet the requirements to have a normal distribution.
The answer is B.
I hope it helps!
Volume is a three-dimensional scalar quantity. The number of boxes that can fit in the cargo hold of the truck is 54.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the box = Volume of the cube = a³ = (2.50)³ = 15.625 ft³
The volume of cargo hold = 7.50 × 7.50 × 15 = 843.75 ft³
Now, the number of boxes that can fit in the cargo hold of the truck will be,
Number of boxes = (Volume of truck container)/(Volume of box)
= 843.75/15.625
= 54
Hence, the number of boxes that can fit in the cargo hold of the truck is 54.
Learn more about Volume:
brainly.com/question/13338592
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