Answer:
5ft
Step-by-step explanation:
8/10=0.8
4/0.8=5
Answer:
59°, 71°
Step-by-step explanation:
This is a "sum and difference" problem. All problems of this type have the same answer: the larger of the two numbers is the average of those given.
Then the larger angle is (130 +12)°/2 = 71°. The smaller is 71° -12° = 59°.
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<em>More detailed solution</em>
There are several ways to get there using equations. You can, for example, let L represent the larger number. Then L - D will be the smaller one (where D represent the difference). The sum of the two numbers (S) is ...
L + (L -D) = S
2L = S + D . . . . collect terms, add D
L = (S+D)/2 . . . the larger number is the average of the sum and difference
The long, straightforward, brute-force way to slog through the problem:
The prism is 12cm x 6cm x 9cm.
Volume of the prism = (12 x 6 x 9) = 648 cm³
Volume of each little cube = (1.5 x 1.5 x 1.5) = 3/375 cm³
Number of little cubes that fit into the prism = (648 cm³) / (3.375 cm³) = <em>
192 of them</em>
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The elegant but almost equally long way to master the problem:
The prism is 12cm x 6cm x 9cm.
If each dimension of your measuring cubie is 1.5cm,
then the prism measures
(8 cubie lengths) x (4 cubie widths) x (6 cubie heights) .
Its volume is (8 x 4 x 6) = <em>192 measuring cubies</em>.
Answer: 0.0944
Step-by-step explanation:
Given : Sample size of cars : n= 150, sample size is greater than 30 , so we use z-test.
Number of cars tested do have faulty catalytic converters =42
Then the proportion of cars have faulty catalytic converters : 
Critical value of z for 99% confidence level : 
Formula for Margin of error :


Hence, the required margin of error = 
Based on the given texts in the table about the graph of the function, the true statements are:
- The graph crosses the y-axis at (0,-15).
- The graph has a point of discontinuity at x = -2.
- The graph is increasing over the interval (4, ∞o).
- The domain of the function is all real numbers.
<h3>Which statements are true of the graph of the function?</h3>
The function, 4x - 15 shows that 15 is the y-intercept which means that the graph will cross the y-axis at (0,15).
The point of discontinuity is x = - 2 and we see this with the gap created at x < -2 and -2 ≤ x ≤ 4.
The graph is indeed increasing over the interval (4, ∞o) because any value of x that is greater than 4 will increase f(x) =
.
The domain of the function is also all real numbers as it begins at negative infinity and ends at infinity, (-∞, ∞).
Find out more on point of discontinuity at brainly.com/question/9553665.
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