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3 years ago

Find (f-g)(x) if f(x)=3x-5 and g(x)=x2-5x+4

Mathematics

1 answer:

solmaris [256]3 years ago

4 0

Answer:

Step-by-step explanation:

Hello,

$(f-g)(x)=f(x)-g(x)=3x-5-(x^2-5x+4)\\\\=3x-5-x^2+5x-4\\\\=-x^2+8x-9$

Thanks

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Express 20 cm to 400 mm in simplest form

solong [7]

Answer:

Step-by-step explanation:

36/24 or 3/2

4 0

3 years ago

The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,500 per term with a stan

Svetlanka [38]

Answer:

z=3.8196

Step-by-step explanation:

-We notice that this is a normal distribution problem.

-Given the mean is $8500, standard deviation is $1200 , and n=350, the critical z-value using alpha=0.05 is calculated as:

$z=\frac{x-\mu_o}{\sigma/\sqrt{n}}\\\\=\frac{8745-8500}{1200\sqrt{350}}\\\\\\=3.8196$

Hence, the test statitic is z=3.8196

3 0

3 years ago

An amount of $21,000 is borrowed for 10 years at 3.25% interest, compounded annually. If the loan is paid in full at the end of

Yanka [14]

The formula for total loan cost is attached.
10 years = 120 payments
MONTHLY Interest = .0325 / 12 = 0.0027083333 

total = 0.0027083333 * 21,000 * 120 / (1-(1.0027083333)-120 
total = 6,825 / (1- 0.7228448406 )
total = 6,825 / 0.2771551594 
total = 24,625.20

4 0

3 years ago

A student is considering publishing a new magazine aimed directly at owners of Japanese automobiles. He wanted to estimate the f

JulsSmile [24]

Answer:

Check Explanation

Step-by-step explanation:

a) Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

With p(japan) representing the true population proportion of US automobile that are made in Japan, the computer output 90% confidence

0.29938661 < p(japan) < 0.46984416

mean that p(japan); the true population proportion of US automobile that are made in Japan lies within the range of proportions (0.29938661, 0.46984416) with an assurance level of 90%.

b) 90% confidence mean that the true proportion may or may not be in the given range, but we are 90% certain that it does.

c) The confidence interval contradicts the politician's claim that "Half of all cars in the United States are made in Japan" because the proportion in the politician's claim, (0.50), does not lie within the range of values that our confidence interval says the true population proportion can take on; (0.29938661, 0.46984416).

0.50 lies outside of the confidence interval obtained for the true population proportion of US automobiles that are made in Japan, hence, the confidence interval contradicts the politician's claim.

Hope this Helps!!!

3 0

3 years ago

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

choli [55]

The correct answer is B :)

3 0

3 years ago