Answer:
the answer is 445.5
Step-by-step explanation:
what I did was divide 50 by 495 and got 9.9 then since it took 45 minutes every 50 square feet of floor i multiplied 45 x 9.9 and got 445.5
Answer:
Now we can calculate the p value. Since is a bilateral test the p value would be:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Step-by-step explanation:
Information given
n=900 represent the random sample selected
estimated proportion of residents favored annexation
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing the data given we got:
Now we can calculate the p value. Since is a bilateral test the p value would be:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Answer:
the right triangles are B,C,D
0.26 < 0.4
Reason: 0.26 is less than 0.4 which also can be written as 0.40.
The "mouth" points to the bigger number.
Answer:
AD = 2.4
Step-by-step explanation:
All of the triangles in this figure are similar, so their corresponding sides have the same ratios.
The short side of ΔABD is 3/5 of the hypotenuse, which is 4.
AD/AB = CA/CB . . . . = short side/hypotenuse
AD = AB(CA/CB) = 4(3/5) = 2.4
The length of AD is 2.4 units.
_____
You can also go at this in terms of area.
A = 1/2bh = 1/2(3)(4) = 1/2(5)(AD) ⇒ AD = 12/5 = 2.4