Astudy investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. on average, when surveyed regarding job satisfaction, teachers give a score of 3.3 out of 5 with a standard deviation of 0.6. when the authors of the study interviewed 40 teachers who supplemented with their own materials, they found 3.5 to be the mean. the authors wanted to know if the group of teachers that could choose supplementary curriculum had a higher level of job satisfaction. they used a significance level of 1%. which of the following statements is valid based on the results of the test?
the data shows that teachers allowed to choose supplementary curriculum for classes are more satisfied with their jobs.
the data shows that teachers who were assigned all curricular resources for classes are more satisfied with their jobs.
the data shows that there is no difference in job satisfaction between the two groups of teachers.
the data shows that the authors cannot make a determination either way with this data.
a +3c = 19
a =7 and c = 4
let a = price of one adult
c = price of one child
we know one adult and one child = 11
mrs smith and 3 children spent 19
a +3c = 19
we have 2 equations and 2 unknowns
a +3c = 19
multiply the first equation by -1 so we can eliminate a
2c = 8
divide by 2
2c/2 = 8/2
each child equals 4 dollars
now we need to find a
a + c= 11
a+4 = 11
subtract 4 from each side
a+4-4 = 11-4
a = 7
the adult is 7
this is a division so the exponents are subtracted:
3^-6 / 3 ^-4
option (4) is correct.
given expression 4p - 8 is equivalent to 4(p - 2)
we are given an expression 4p - 8 .
we have to find an equivalent expression from the given options.
equivalent expressions are those expression that are different in looking but both have same value as the given expression.
consider 4p - 8
4p-8 can be written as 4p - 4 × 2
taking 4 common from both the terms, we get,
⇒ 4 (p - 2)
thus, given expression 4p - 8 is equivalent to 4(p - 2)
thus, option (4) is correct.