180-70=110
so 110 is the answer
It will be 154/100. That is 1.54 meters
Answer:
PQ = 23
Step-by-step explanation:
XY is a medium trapezoidal line or midsegment of trapezoid PQRS and the formula for calculating it is:
XY = (PQ + RS) / 2 => PQ + RS = 2 · XY => PQ = 2 · XY - RS
PQ = 2 · 29 - 35 = 58 - 35 = 23
PQ = 23
God with you!!!
A rug is to fit in a room so that a border of even width is left on all four sides.
If the room is 16 feet by 25 feet and the area of the rug is 220 square feet, how wide will the border
:
Let x = the width of the border around the rug
then
(25-2x) by (16-2x) the dimensions of the rug
:
The area equation
(25-2x)*(16-2x) = 220 sq/ft
FOIL
400 - 50x - 32x + 4x^2 = 220
:
Arrange as a quadratic equation
4x^2 - 82x + 400 - 220 = 0
:
4x^2 - 82x + 180 = 0
Simplify, divide by 2
2x^2 - 41x + 90 = 0
Factor
(2x - 5)(x - 18) = 0
Two solutions
2x = 5
x = 2.5 ft
and
x = 18 ft, obviously this not the solution
;
Border will be 2.5 ft
Answer:
With a mean of 27.6 minutes, the data supports the claim that the average commute time is significantly less than 30 minutes. We reject the null hypothesis that the mean commute time in the U.S. in the year 2000 was 30 minutes.
Step-by-step explanation:
Check the attached file for a detailed explanation of the solution.
From the calculation of the test statistic, ts = - 2.738
At ts = -2.738 and df = 500 - 1 = 499, P-value = 0.0031
Since P-value is less than the significance level, the null hypothesis is rejected.