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murzikaleks [220]
3 years ago
8

What is the range of the function y=x^2-5 where 0<x<10

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0
The range is the bounds on y. If 0<x<10, since this is a function that increases as x increases, the maximum y value will be by x=10 and the minimum will be by x=0.

Plugging these values of x into the function gives y=(10)^2-5=100-5=95 and y=0-5=-5

However, since x can't actually equal 0 and 10, y cannot be exactly equal to - 5 and 95. Therefore, the range is -5<y<95
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Step-by-step explanation:im not good at long answers but it should push each other away.

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A recent study compared the time spent together by single- and dual-earner couples. According to the records kept by the wives d
sergij07 [2.7K]

Answer:

There is evidence to show that  the single-earner couples on average spend more time watching television together

Step-by-step explanation:

Given that a recent study compared the time spent together by single- and dual-earner couples. According to the records kept by the wives during the study, the mean amount of time spent together watching television among the single-earner couples was 61 minutes per day, with a standard deviation of 15.5 minutes. For the dual-earner couples, the mean number of minutes spent watching television was 48.4 minutes, with a standard deviation of 18.1 minutes.

H_0: \bar x=\bar y\\H_a: \bar x > \bar y

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Let us assume sample sizes are 500 each.

Difference -12.600

Standard error 1.066

95% CI -14.6913 to -10.5087

t-statistic  -11.823

DF  998

Significance level P < 0.0001

Since p is less than alpha we reject null hypothesis.

There is evidence to show that  the single-earner couples on average spend more time watching television together

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3 years ago
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Answer:

y=.12x+30

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