1. sat scores were originally scaled so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100.
assuming that this scaling still applies, use a table of standard normal curve areas to find the probability that a randomly selected sat student scores
a. more than 700.
b. between 440 and 560.

a) 0.02275                

b) 0.4515

Step-by-step explanation:

Data provided in the question:

Mean = 500

Standard deviation, s = 100

Now,

a) More than 700

z score = [ X - mean ] ÷ s

= [700 - 500 ] ÷ 100

= 2

P(More than 700) = P(z > 2 )

or

P(More than 700) = 0.02275                 [ from standard z vs P table ]

b) Between 440 and 560

z score for X = 440

= [440 - 500 ] ÷ 100

= - 0.6

z score for X = 560

= [560 - 500 ] ÷ 100

= 0.6

Now,

P( Between 440 and 560 ) = P (z < 0.6 ) - P( z < -0.6 )

thus,

P( Between 440 and 560 ) = 0.7257469 - 0.2742531

= 0.4515

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.