Answer:
21.75m
Step-by-step explanation:
14.5×150 =2175cm
1m =100cm
to convert into m divide 2175 by 100
=21.75m
Answer:
a. Best estimate for the mean family size for the population of all families in a country is 16.3571428571
b. 95% confidence interval for the estimate is 16.3571428571±0.7106240840. That is between 15.6465187731 and 17.0677669411
c. The sample is unlikely to be very representative of all families in a country.
Step-by-step explanation:
a. mean family size for the population of all families in a country can be estimated as sample mean, and calculated as:
≈ 16.3571428571
b. 95% confidence interval for the estimate can be calculated using the equation CI=M±
where
- M is the mean estimate (16.3571428571)
- t is the corresponding statistic in the 95% confidence level and with 14 degrees of freedom (2.160)
- s is the standard deviation of the sample (1.2309777100)
- N is the sample size (14)
s can be calculated as square root of mean squared differences from the sample mean.
Thus 95% CI=16.3571428571±
≈ 16.3571428571±0.7106240840
The sample is unlikely to be very representative of all families in a country because as the sample data increases, estimate will improve.
The number of hours needed for the company to break even happens when


, rearranging to make the equation 'zero' on LHS


, divide each term by 5

, factorise

, equate each factor to zero

and

We choose the positive value of

Hence, the number of hours needed to break even is
Rule for 1 is the rule for 1 is 14 times 3.5^x and it is exponential
The second one is is also exponential and the rule is 32 times .25^x and the last one is is linear and the rule is 5x+-4
The answers will be:
- (4, 5)
- remain constant and increase
- g(x) exceeds the value of f(x)
<h3>What is Slope and curve?</h3>
a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).
b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).
c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:
f(8) = 4·8 +3 = 35
g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35
g(8) > f(8)
d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).
To know more about Slope follow
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