Answer:
The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 4500 - 98.7 = 4401.3 gallons
The upper end of the interval is the sample mean added to M. So it is 4500 + 98.7 = 4598.7 gallons
The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.
Δ YX Z And Δ VUW are SIMILAR because all their respective angles are congruent:
∠ y = 90°; ∠ v = 90°
∠ x = 67°; ∠ u = 67°
∠ z = 23°; ∠ w = 23°
Two triangles are similar if their related angles are congruent (answer B)
Answer:
b
Step-by-step explanation:
go with that and you may win at this multiply question
Answer: the actual length and width of the room is 24ft by 36ft
Step-by-step explanation:
The scale on the architectural plans for a new house is 1 in. equals 4 ft. This means that every 1 inch on the on the architectural plan represents 4 feet on the actual building.
Therefore, if the length of the room as measured on the drawing is 6 inches, the actual length of the room will be
6 × 4 = 24 feet
Also, if the width of the room as measured on the drawing is 9 inches, the actual width of the room will be
9 × 4 = 36 feet
Im assuming the base of the triangle is 4cm. The volume is
.
If the dimensions are tripled, the base is 12, the height is 24, and the length is 18. The volume is
, which is 27 times bigger.
If you are increasing each side by a factor of x, you are multiplying the original by
