A concrete learner is a student who learns best when various types of hands-on manipulative activities are used to illustrate abstract concepts. Researchers have long believed that 60% of all students remain concrete learners until they are between 16 and 21 years of age. Each student in a random sample of 32 students age 17 to 19 was evaluated, and it was found that 24 of the 32 were concrete learners. Would it be appropriate to use the z-test for a population proportion to test to determine if the proportion of concrete learners in this age group is less than 0.60

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

answer:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8  

so what is the problem what are they asking you to solve

step-by-step explanation:

so what is the problem what are they asking you to solve

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)