Answer:
Draw the line segment AB = 7 cm.
Draw ray BX making an acute ∠ABX.
Along BX. mark off five points B1, B2, B3, B4 and B5. Join B2 to A.
Through B5 draw B5P || B2A, intersecting BA produced at P.
The point P so obtained is the required point which divides AB externally in the ratio 3:5.
Answer:
The correct answer is the base price is $14.50 and surcharge is $2.45 per pound.
Step-by-step explanation:
United Express charges a base price on packages weighing less than or equal to 1 pound and a surcharge for additional pounds.
Let the base price be $b and surcharge be $s.
For a 4 pound package, the customer is billed $21.85. Therefore the equation of his billing looks like b + 3s = 21.85.
For a 19 pound package, the customer is billed $58.60. Therefore the equation of his billing looks like b + 18s = 58.60.
Subtracting both the equation from each other we get 15s = 36.75
⇒ s = $2.45 and b = $14.50.
Thus the base price is $14.50.
Answer:
6.826 is greater
Step-by-step explanation:
6.826 is greater than 6.128 by 0.698
Answer:
32 randomly selected Americans must be surveyed
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
If we want to estimate 95% confidence interval for the true proportion of Americans who support Medicare-for-all in 2019 with a 0.175 margin of error, how many randomly selected Americans must be surveyed?
n randomly selected Americans must be surveyed. n is found when M = 0.175.
We have no prior estimate, so we work with the worst case scenario, which is 
.
Rounding up to the nearest whole number
32 randomly selected Americans must be surveyed
