Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.9382: a. 1.8
b. 1.54
c. 2.1
d. 1.77

1.54

Step-by-step explanation:

Given that :

Z = normal random variable

Area to the left of z = 0.9382

For a random normal distribution ;

P(Z < x) = 0.9382

Using the Z table (standard normal distribution table) ;

Locating the probability value (0.9382) on the table and picking the intersecting z value both horizontally and vertically :

Horizontal value = 1.5

Vertical value = 0.04

Horizontal + vertical = (1.5 + 0.04) = 1.54

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.