Answer:
x= ![-\frac{1}{14}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B14%7D)
Step-by-step explanation:
im going to assume the 3x2 mean 3 times 2
Answer:
ST = 4
Step-by-step explanation:
If the pentagons are similar, the ratio between a pair of sides of one pentagon is the same ratio for the similar pair of sides of the second pentagon, so we have that:
XY / YZ = ST / TU
32 / 36 = (4c + 2) / (5c + 2)
8 / 9 = (4c + 2) / (5c + 2)
8*(5c + 2) = 9*(4c + 2)
40c + 16 = 36c + 18
4c = 2
c = 0.5
So the length of ST is:
ST = 4c + 2 = 4*0.5 + 2 = 4
Answer
Input= 5
Output= 120
Step-by-step explanation:
The input goes up by 1, so m=5
The output shows how many hours there are in that many days so blank=120
Answer:
Length: 9
Width: 2
Step-by-step explanation:
Area = length × width
18 = (x - 5)(x + 2)
18 = x² - 5x + 2x - 10
x² - 3x - 28 = 0
x² - 7x + 4x - 28 = 0
x(x - 7) + 4(x - 7) = 0
(x - 7)(x + 4) = 0
x = 7, -4(not possible)
Length: 7+2 = 9
Width: 7-5 = 2
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.