Asurvey asked 5,000 day cares across the country for their ratio of teachers to students. three thousand day cares responded that the ratio of teachers to students is greater than one to five.

which conclusion can be made about the population from this survey?
a.
most day cares have a teacher-to-student ratio greater than 1: 5.
b.
one-third of day cares have a teacher-to-student ratio of 1: 5.
c.
most day cares have a teacher-to-student ratio of 1: 5.
d.
sixty percent of day cares have a teacher-to-student ratio less than 1: 5.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

option (a)

step-by-step explanation:

step 1:   take 2 number whose product equal to 25..

and sum of those two number are -10

step: 2 for example here if we take 5,5 are the number,,

5*5=25

and

5+5=10

but we need -10

so if we take   -5,-5

so -5*-5=25

and -5+(-5)=-10

s0

come the equation

replace -10x by these number

like -5x -5x+25

take common

x(x-5)-5(x-5)=0

(x-5)(x-5)=0