Answer:
because 18 times 100 is equal to 5 times x, which means that x is equal to 360
Step-by-step explanation:
18/5=x/100
Cross product
18*100=5*x
1800=5x
x=1800/5
x=360
because 18 times 100 is equal to 5 times x, which means that x is equal to 360
Answer: high test-retest reliability
Step-by-step explanation: this is because the result of the survey was thesame with the previous result, despite the space of time between when the first survey was conducted and when the second survey was conducted. There was know observable difference in result and if conducted in the next 3 months again, it will give same result, this strongly indicate that the survey has high test-retest reliability.
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.
I will attached the picture of what you are talking about here. The answer for this problem is: Yes, that they are congruent by SAS. Meaning that the triangles are congruent if their included angles and any pair of corresponding sides are equal in both triangles. In this case, the sides are both 21 cm and this will make the angle equal for both triangles, so that is why they are congruent.
The value of F(3) = 27.
Step-by-step explanation:
Step 1:
F(x) is dependent on the value of x.
So x is independent while F(x) is dependent on x i.e. the value of F(x) depends on the value of x.
Step 2:
F(x) = 
, if we have the x's value we can calculate the F(x)'s value.
Here the value of x is given as 3 so F(x) when x equals 3 can be calculated.
So F(3) = 27.
