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Answer:
–90 < –32t – 10 < –58
Step-by-step explanation:
We want the velocity to be BETWEEN -90 and -58.
Whenever we need a quantity, let it be A, to be between two numbers, p and q (p is less than q), we can write it as:
p < A < q
Similarly, here we need the velocity, -32t-10 to be BETWEEN -90 and - 58 (with -90 being the smaller number). Thus we can write:
–90 < –32t – 10 < –58
This is the correct choice, 2nd choice.
Y = 3x - 7...slope here is 3 and y int is -7
3x + 9y = 9
9y = -3x + 9
y = -1/3x + 1....slope here is -1/3 and y int is 1
the slopes 3 and -1/3 are negative reciprocals of each other...therefore, ur lines are perpendicular
Answer:
Step-by-step explanation:
a) Sample statistics are used to estimate population value. Since 48% is a sample proportion, therefore, it is a sample statistic.
b) For 95% confidence level, z* = 1.96.
\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.61\pm 0.61\sqrt{\frac{0.61(1-0.61)}{1578}}=0.61\pm 0.024 \ or (0.586, 0.634).
We are 95% confident that the true proportion of US residents who think marijuana should be made legal lies between 58.6% and 63.4%.
c)
\\np=1578(0.61)=962.58
\\n(1-p)=1578(1-0.61)=615.42
Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.
d) As the lower limit of confidence interval is less than 0.5, less than 50% population is also a plausible value of true proportion. This means the statement "Majority of Americans think marijuana should be legalized" is not justified.