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Complete Question
Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)
Answer:
0.7762
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Population mean = 6.20 bl/s
Standard deviation = 1.58 bl/s.
x = 5 bl/s
z = 5 - 6.20/1.58
z = -0.75949
The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)
Probability value from Z-Table:
P(x<5) = 0.22378
P(x>5) = 1 - P(x<5)
= 1 - 22378
= 0.77622
Approximately to 4 decimal places = 0.7762
The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762
It is not true because if you add in 0 the equation would be 8-4(0)=4(0)
4x0 = 0
so it would be 8-0=0 which doesn't add up.
Answer:
for page 1, the answer is y = x + 1
for page 2, the answer is linear
Step-by-step explanation:
Why is it y = x + 1?
It is y = x + 1 because if you look at the steps, all of them are reasonable for having a multiplication equation. Step 1 has a equation of 1 x 1, step 2 has an equation of 2 x 2, and step 3 has an equation of 3 x 3. So the relationship would be adding +1 to every step and count up from 1 - 3.
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Why is it linear?
It's linear cause the relationship between x and y is called a linear relationship because the points so plotted all lie on a single straight line.
You can find counterexamples to disprove this claim. We have positive integers that are perfect square numbers; when we take the square root of those numbers, we get an integer.
For example, the square root of 1 is 1, which is an integer. So if y = 1, then the denominator becomes an integer and thus we get a quotient of two integers (since x is also defined to be an integer), the definition of a rational number.
Example: x = 2, y = 1 ends up with 
which is rational. This goes against the claim that 
is always irrational for positive integers x and y.
Any integer y that is a perfect square will work to disprove this claim, e.g. y = 1, y = 4, y= 9, y = 16. So it is not always irrational.
Answer: My bad if I butchered any answers. It was hard to read tbh
Step-by-step explanation:
D.) You can only factor out an x here. So you'd get: 
E.) You can factor out a 3x^2y to get: 
F.) You can factor out a 3xy to get: 
G.) You can factor out a -4ab to get: 
