This equation models the height over time of a deep-water sensor. h(t) = -4.9t^2 + 29.4t + 5.9
Rewrite the function in vertex form.

h(t) =  -4.9(t - 3)^2 + 50.

Step-by-step explanation:

h(t) = -4.9t^2 + 29.4t + 5.9

h(t) =  -4.9(t^2 - 6t) + 5.9       Complete the square on t^2 - 6t:

h(t) = -4.9[ (t - 3)^2 - 9] + 5.9

h(t) = -4.9(t - 3)^2 + 44.1 + 5.9

h(t) =  -4.9(t - 3)^2 + 50

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

click to let others know, how is it

0.0

0 votes

1

report

read more on -

step-by-step explanation:

answer: what are the following choices