The path of the car and the limo are straight lines. To determine the equation of the lines of the paths, the slopes must be determined. Let m1 = slope of car m2 = slope of limo so, m1 = (7 + 7)/(5 + 2) = 2 m2 = (-5 -9)/(3+4) = -2 therefore the equations are car: 2x – y = 2(5) –(7) 2x – y = 3 Limo: 2x + y = 2(3) – 5 2x + y = 1 Solving the intersection of the equations (using a calculator) x = 1 y = -1

8 0

3 years ago

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A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66

Angelina_Jolie [31]

Answer:

0.9962

Step-by-step explanation:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

$z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score$

μ = 20.66°C, σ = 2°C

For x < Singapore temperature, i.e. x < 26

$z=\frac{x-\mu}{\sigma} =\frac{26-20.66}{2}=2.67$

From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962

4 0

3 years ago

Find the value of the expression.

igor_vitrenko [27]

Answer:

Step-by-step explanation:

((3/5 ^0)^-2)

3/5^0=0

0^-2= 0

3 0

2 years ago