Answer: 34
Explanation: 204 divided by 6
Answer:
5
Therefore, she must get 5 points from the last quiz to have a mean score of 4
Step-by-step explanation:
Mean is the average of a set of data, it is the sum of the data divided by the number of data.
To have a mean of 4 from 4 quizzes;
Let x represent the total;
mean = x/4
4 = x/4
x = 4 × 4 = 16
To have a mean of 4 he must have a total score of 16.
Let y represent her score in the last quiz;
16 = 4+3+4+y
16 = 11+y
y = 16-11 = 5
Therefore, she must get 5 points from the last quiz to have a mean score of 4
The volume that is left to be filled is approximately: 3,332.6 in.³
<h3>What is the Volume of a Box?</h3>
Volume of a box = (length)(width)(height)
Given the following:
Volume of the bat = 82 cubic in.
Length of box = 30 in.
Width = 18.97 in.
Height = 6 in.
The remaining volume to be filled = volume of box - volume of bat
= (30)(18.97)(6) - 82
= 3,332.6 in.³
Learn more about the volume of a box on:
brainly.com/question/14957364
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To solve the top triangle, use the sine of 45° and find the shared side length (y):
sin(45°) = y / 12
12(sin(45°) = y
y = 8.485
(The side y is opposite of the bottom triangle's 30° angle.)
Use the tangent of 30° to find the side length of x.
tan(30°) = 8.485 / x
x(tan(30°)) = 8.485
x = 8.485 / (tan(30°))
x = 14.696
The side length of x is approximately 14.696 units.