Let's first write down the equations which we will require to solve for this problem.
Equation No. 1 -
x km/h = y mph
Equation No. 2 -
8 km/h = 5 mph
First of all, we will make y the subject by calculating the km/h when mph = 1. We will accomplish this by dividing both sides by 5 as displayed below:
Equation No. 2 -
8 km/h = 5 mph
5 mph = 8 km/h
5 / 5 mph = 8 / 5 km/h
1 mph = 8 / 5 km/h
Through this, we have found out:
m = 8 / 5
We will use the y = mx formula in order to obtain our final equation. We will substitute the value given in the second equation into the formula.
y = mx
y = ( 8 / 5 ) x
Answer:

And replacing we got:

And for this case the standard error assuming normality would be given by:

And replacing we got:

Step-by-step explanation:
For this problem we know the following notation:
represent the sample size selected
represent the number of airplane travelers who after a flight would fly that airline again
The estimated proportion for this case would be:

And replacing we got:

And for this case the standard error assuming normality would be given by:

And replacing we got:

Answer:
We know that an isosceles triangle has 2 of its sides being equal
With R, being the midpoint of PS, we can say that
PR=RS
Noting that, with R as midpoint, we can conclude that RT is a straight line which divides angles TPR and TSR into 2 right angle triangles
Step-by-step explanation:
therefore angle at P is 45°. Angle at S also 45°
Therefore PT = TS
This is because T is 45 degrees as well as P which is also 45 degrees
angle in triangle PTS is 180 degrees
R is 90 degrees, P is 45 degrees and the whole of T is also 45 degrees(which has been split into 2)
Answer:
C
Step-by-step explanation:
y + 2x + 10 = 4x + 5
y = 4x - 2x + 5 - 10
y = 2x - 5
Answer- C
Because BD is the angle bisector, and m∠ABC=40, m∠ABD is 20.
In case you'll need to find out x and y:
3x-1=34-2x, and 3y+6=5y-18
solve: 5x=35, x=7
2y=24, y=12
(m∠ABD=3x-1=3*7-1=20, again, the answer is in this case)