You are testing a claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds. You

Answer:

Tina's overall average speed for the journey is 56 km/h.

Step-by-step explanation:

Sean's travel time from Town A to Town B is 4 hours.

Sean's average speed is 70 km/h.

Using the motion equation, s = ut + 0.5 at², we can find:
Time, t = 4 hours.

Initial speed, u = 70 km/hr.

Acceleration, a = 0 m/s².

Replacing the variables:

      s = ut + 0.5 at²

      s = 70 x 4 + 0.5 x 0 x 4²

      s = 280 km

The distance from Town A to Town B is 280 km.

Tina's travel time exceeds Sean's by 1 hour.

Tina's time to travel from Town A to Town B is 4 + 1 = 5 hours.

Again applying the motion equation, s = ut + 0.5 at²:

Time, t = 5 hours.

Distance, s = 280 km.

Acceleration, a = 0 m/s².

Putting in values:

      s = ut + 0.5 at²

      280 = u x 5 + 0.5 x 0 x 5²

      u = 56 km/hr.

Tina's overall average speed is thus 56 km/h.

Answer:

The equivalent expression for the provided complex fraction is

Step-by-step explanation:

To simplify the complex fraction, calculating the numerator and denominator individually is effective.

Numerator:

Denominator:

Resolving the complex fraction:

Common terms in the numerator and denominator will cancel out (Cross multiplication):

Answer:

Step-by-step explanation:

The standard vertex form for a parabola is given by,

where,

(h, k) signifies the vertex of the parabola.

The function presented is,

This represents the vertex form of the given function.