Answer:
x=12
Step-by-step explanation:
since they are similar triangle .Use these ratios
9/6=x+9/14
do cross multiplication
6(x+9)=14*9
6x+54=126
6x=126-54
x=72/6
x=12
well, if m = 1, let's see, then f(x) = √(mx) = √(1x) = √x
and then g(x) = m√x = 1√x = √x
well, if both equations are equal, then their ranges are also equal.
now, if m = "any positive real number"
f(x) = √(mx) = √m √x will yield some value over the y-axis
g(x) = m√x will yield some range over the y-axis, however, "m" is a larger value than "√m".
what that means is that so long "m" is a positive real number, the ranges of f(x) and g(x) will be the same over an infinite range on the y-axis, even though g(x) is moving faster than f(x), f(x) is moving slower because √m makes a stretch transformation which is smaller than one "m" does.
Answer:
For this case we can find the critical value with the significance level 
and if we find in the right tail of the z distribution we got:
The statistic is given by:
(1)
Replacing we got:
Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27
Step-by-step explanation:
We have the following dataset given:
represent the households consisted of one person
represent the sample size
estimated proportion of households consisted of one person
We want to test the following hypothesis:
Null hypothesis: 
Alternative hypothesis: 
And for this case we can find the critical value with the significance level and if we find in the right tail of the z distribution we got:
The statistic is given by:
(1)
Replacing we got:
Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27
Answer:
Option (3)
Step-by-step explanation:
Joe has a ruler which has markings for each millimeter, so the least measurement which Joe can do is in millimeter.
Since, 10 mm = 1 cm
Therefore, 1 mm = 0.1 cm
This rule states that Joe can measure a length or distance in nearest tenth of a cm only.
If length of a box = 13.67 cm,
So Joe can measure it as 13.7 cm approximately.
Therefore, Option (3) will be the answer.
