A study of tutoring services at a community college shows a strong positive association between time spent in the math lab (in hours) and math exam average (as a percent). Is the following statement valid or invalid? a. Students who spend more time in the math lab tend to have higher exam averages.
b. The tutoring services in the math lab are improving student performance on math exams.
c. To improve student performance in math classes, the college should require students to attend the math lab.

A. Invalid

B. Valid

C. Valid.

Step-by-step explanation: A valid statement or argument is one in which the premise correlates with the conclusion.

It means that if all the premises are true then the conclusions from such premises must also be true. In the above statement, the first conclusion is invalid as it's conclusion does not correlates with its premise when considering the argument. Both conclusions B and C are valid as they correlates with their respective premises when considering the argument or statement made.

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.