A company did a survey of 200 of their employees. Of the employees surveyed, 50 were female. They asked employees if they prefer to come in to work earlier than 8 a. m. (E), at 8 a. m. (A), or later than 8 a. m. (L).

From the survey, the company found that the probability of randomly choosing an employee that is both a male and prefers to come in to work earlier than 8 a. m. is 0.15, the probability of randomly choosing an employee that is both a female and prefers to come in to work at 8 a. m. is 0.06, and the probability of randomly choosing an employee that prefers to come in to work at 8 a. m. is 0.48. They also know that of the employees surveyed, 45 of them prefer to come in to work earlier than 8 a. m.

Complete the relative frequency table below so that it will match the situation.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

mnkjn

step-by-step explanation: