Answer:
a. 47
b. 87
c. 127
Step-by-step explanation:
Assume a total of 4 exams ( first 3 plus a final)
Let final score be X,
Hence, average score = (85 + 71 + 77 + x) / 4 = (233 + x) / 4
a) to get a C, the average score must be 70
70 = (233 + x) / 4
(233 + x) = 70 (4) = 280
x = 280 - 233 = 47 (Ans)
b) to get a B, the average score must be 80
80 = (233 + x) / 4
(233 + x) = 80 (4) = 320
x = 320 - 233 = 87 (Ans)
c) to get a A, the average score must be 90
90 = (233 + x) / 4
(233 + x) = 90 (4) = 360
x = 360 - 233 = 127 (Ans)
Answer:
Option c.
Step-by-step explanation:
Using the normal curve to approximate a sampling distribution:
For a sample size n and a proportion n, the normal curve can be used if:
and 
Option a:


So option a cannot be used.
Option b:


So option b cannot be used.
Option c:


So option c can be used, and is the answer
Option d:


So option d cannot be used.
The answer is given by option c.
Answer:
6 in * 4 in * 2 in
Step-by-step explanation:
Given the following data;
Volume of rectangular prism = 48 in³
To find its possible dimensions;
Volume of rectangular prism = length * breadth * height
48 = length * breadth * height
From the given options, option B is most likely to be its dimensions.
Where;
Length = 6 in
Breadth = 4 in
Height = 2 in
Substituting into the formula, we have;
48 in = 6 * 4 * 2
48 in = 48 in
Answer:
x=26
Step-by-step explanation:
3x +12 =90
subtract 12 from each side
3x=78
divide 3 from each side
x=26
Sphere Volume = <span>( <span>π <span>•diameter^3) / 6
</span></span></span>
Sphere Volume = 3.14159 * 18^3 / 6
Sphere Volume = 3.14159 *
<span>
<span>
<span>
5,832
</span>
/ 6
</span></span>Sphere Volume = 3.14159 *
972
Sphere Volume =
<span>
<span>
<span>
3,053.63
</span>
</span>
</span>