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joja [24]
3 years ago
7

Consider the function y=f(x)=3x. The values of f(1/2) and f(1/4), rounded to the nearest hundredth, are_______ and__________ , r

espectively.
Mathematics
1 answer:
puteri [66]3 years ago
3 0

Answer:

f(1/2)=1.5

f(1/4)=0.75

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To solve 1/3 divided by 9 James thinks of dividing a loaf of bread
garri49 [273]

Answer:

it would be 0.3 with bar notation

Step-by-step explanation:

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3 years ago
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Hana's height is given as 162 cm, correct to the nearest cm.
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Answer:

upper is 2 lower Po is 2 step 1 I added after what the answer is that I divide it then that's the answers

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While researching the cost of school lunches per week across the state, you use a sample size of 45 weekly lunch prices. The sta
Drupady [299]

We assume the lunch prices we observe are drawn from a normal distribution with true mean \mu and standard deviation 0.68 in dollars.


We average n=45 samples to get \bar{x}.


The standard deviation of the average (an experiment where we collect 45 samples and average them) is the square root of n times smaller than than the standard deviation of the individual samples. We'll write


\sigma = 0.68 / \sqrt{45} = 0.101


Our goal is to come up with a confidence interval (a,b) that we can be 90% sure contains \mu.


Our interval takes the form of ( \bar{x} - z \sigma, \bar{x} + z \sigma ) as \bar{x} is our best guess at the middle of the interval. We have to find the z that gives us 90% of the area of the bell in the "middle".


Since we're given the standard deviation of the true distribution we don't need a t distribution or anything like that. n=45 is big enough (more than 30 or so) that we can substitute the normal distribution for the t distribution anyway.


Usually the questioner is nice enough to ask for a 95% confidence interval, which by the 68-95-99.7 rule is plus or minus two sigma. Here it's a bit less; we have to look it up.


With the right table or computer we find z that corresponds to a probability p=.90 the integral of the unit normal from -z to z. Unfortunately these tables come in various flavors and we have to convert the probability to suit. Sometimes that's a one sided probability from zero to z. That would be an area aka probability of 0.45 from 0 to z (the "body") or a probability of 0.05 from z to infinity (the "tail"). Often the table is the integral of the bell from -infinity to positive z, so we'd have to find p=0.95 in that table. We know that the answer would be z=2 if our original p had been 95% so we expect a number a bit less than 2, a smaller number of standard deviations to include a bit less of the probability.


We find z=1.65 in the typical table has p=.95 from -infinity to z. So our 90% confidence interval is


( \bar{x} - 1.65 (.101),  \bar{x} + 1.65 (.101) )


in other words a margin of error of


\pm 1.65(.101) = \pm 0.167 dollars


That's around plus or minus 17 cents.




3 0
3 years ago
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Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. the x-inte
wariber [46]

Step-by-step explanation:

Given x intercept is 1, So (x,y) is (1,0)

When x intercept is 1 then y  value is 0

Another point on the line is (-2,3)

Two points are (1,0) and (-2,3)

Find out slope using the two given points

slope m=\frac{y_{2}-y_1}{x_2-x_1} =\frac{3-0}{-2-1} =-1\\m=-1

Use point slope formula

m=-1 and point(1,0)

y-y_{1}=m(x-x_{1})\\y-0=-1(x-1)\\y=-1x+1

Point slope equation is

y-0=-1(x-1)

Equation of the line in slope intercept form is

y=-1x+1

7 0
3 years ago
What is the solution to this equation? –0.2(x – 20) = 44 – x
Airida [17]

Answer: x = 50

Step-by-step explanation:

3 0
3 years ago
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