Answer: {3, 5, 7}
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The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input. The output values are y = 3, y = 3, y = 3, y = 5, y = 7. So we simply list these outputs without the "y=" portion. Toss out any duplicates. Only write the unique output values.
The curly braces surrounding the list of values tells us that we have a set.
Answer:
In this case, a sample was taken and an hypothesis test was done. The P-value of the test is 0.0016.
a) With this P-value, the null hypothesis will be rejected. That means it will be considered false with statistical evidence.
If the null hypothesis is true, and it is rejected, we will have what is called a Type I error (rejecting the null hypothesis when it is true).
The probability of this error depends from the significance level (the higher the significance level, the higher the probability of a Type I error).
b) This P-value is obviously smaller than any significance level. That means that the effect is statistically significant and there is evidence to reject the null hypothesis, whatever it was.
Step-by-step explanation:
Answer:
36:12. 36 is the teeth on the front socket and 12 is the teeth on the rear socket. All you need to do is simplify by finding the greatest common factor (GCF) of 36 and 12-which is 12, then divide by the GCF. This gives you 3:1. The gear ratio for the bike is 3 teeth on the front socket for every 1 teeth on the rear socket (3:1)
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Step-by-step explanation:
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#1 alright so if the ratio is 5:4 adding them together is 9 but we want 36 as the perimeter sooo
36/9=4
So multiply both the 5 and the 4 makes....
20:16
The 20 and 16 show the total side of the length Andy width so we need to divide them by two so...
(20/2):(16/2)=10:8 so the width would be 8
Check:10(2)+8(2)=20+16=36 yay on to the next one!
#2 ok let's say the length is x, that means the width would be x-5 so the perimeter of that would be 4x-10. Sooo...
4x-10=54 || 4x=54+10 || 4x=64 || x= 16
So the length is 16 while the width is 11. Let's check in case.
16(2)+11(2)=32+22=54 yup :D
The answer should be D.
The square root of two.