Let f(x) = 6x2 + 5 and g(x) = 3x - 5. Find g(f(0)). A) 10 B) 75 C) 90 D) 155
1 answer:
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Answer:
the equation of the line in slope-intercept form is:
Step-by-step explanation:
First start by finding the slope of the segment that joins those two points using the general formula for the slope of the segments between two points and
on the plane:
Then for our case, calling (-4, 6) = and (-8, 10) =
, we have:
Now, knowing this, we can find the equation of the line by using the "point-slope" form of a line [of slope "m" and going through the point that tells us:
We will be then using the found slope (-1) and for example one of the given points: (-4 , 6), thus:
Answer:
The probability of the sample mean foot length less than 23 cm is 0.120
Step-by-step explanation:
* Lets explain the information in the problem
- The eighth-graders asked to measure the length of their right foot at
the beginning of the school year, as part of a science project
- The foot length is approximately Normally distributed, with a mean of
23.4 cm
∴ μ = 23.4 cm
- The standard deviation of 1.7
∴ σ = 1.7 cm
- 25 eighth-graders from this population are randomly selected
∴ n = 25
- To find the probability of the sample mean foot length less than 23
∴ The sample mean x = 23, find the standard deviation σx
- The rule to find σx is σx = σ/√n
∵ σ = 1.7 and n = 25
∴ σx = 1.7/√25 = 1.7/5 = 0.34
- Now lets find the z-score using the rule z-score = (x - μ)/σx
∵ x = 23 , μ = 23.4 , σx = 0.34
∴ z-score = (23 - 23.4)/0.34 = -1.17647 ≅ -1.18
- Use the table of the normal distribution to find P(x < 23)
- We will search in the raw of -1.1 and look to the column of 0.08
∴ P(X < 23) = 0.119 ≅ 0.120
* The probability of the sample mean foot length less than 23 cm is 0.120
