Answer:
It is (almost certainly) the first choice, however, you omitted the actual example there. See below.
Step-by-step explanation:
A counter-example to "All rational numbers are integers" is easy to find - it is any fraction that is reduced to simplest form and its denominator (bottom part) is not 1. Examples: 2/3, 7/5, 11/13 are all not integers but rational numbers and therefore are counter-examples to the statement. The statement is thus disproven. Please check your question - there is a value with the first choice that is likely one such fraction.
The remaining 3 choices to your answer are all not applicable.
Answer:
A sample size of at least 737 specimens is required.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the width M as such

In which
is the standard deviation of the population and n is the size of the sample.
In this problem, we have that:

So:





A sample size of at least 737 specimens is required.
X = third angle
82° + 62° + x = 180°
144° + x = 180°
x = 36°
Answer:
C. 14
Step-by-step explanation:
F(x) = ∫₀²ˣ √(t³−15) dt
Use second fundamental theorem of calculus:
F'(x) = √((2x)³−15) d/dx (2x)
F'(x) = 2 √(8x³−15)
Evaluate at x=2:
F'(2) = 2 √(8×2³−15)
F'(2) = 2 √(64−15)
F'(2) = 2 √49
F'(2) = 14
Answer:
Slope: 7/3 | Y Intercept: -11
Step-by-step explanation:
To translate this equation into a slope-intercept form equation, we can subtract 14x on both sides. This leaves us with: -6y = -14x + 66.
Now, all that is preventing us from putting it into the correct from is -6, so we can simply divide -6 on both sides. Using this operation, we get: y = 14x/6 + -11. The coefficient of x in this problem stands for slope, so the slope is: 14/6 or 7/3. The constant stands for y intercept, so that is -11.
Hope you understood and do well!