According to the national institute on drug abuse, a u. s. government agency, 17.3% of 8th graders in 2010 had used marijuana at some point in their lives. a school official hopes to show the percentage is lower in his district, testing h0: p = 0.173 versus ha: p < 0.173. the health department for the district uses anonymous random sampling and finds that 10% of 80 eighth graders surveyed had used marijuana. is the sample size condition for conducting a hypothesis test for a population proportion satisfied?
a. no, because () is less than 10. because of this the sample size is too small to use the normal distribution to model the distribution of sample proportions.
b. yes, because the sample is random. it represents the 8th graders in the district.
c. yes, because () and (80)(1 ‑ 0.173) are both at least 10. this means we can use the normal distribution to model the distribution of sample proportions.
d. no, because 80 students is not enough to be representative of the students in the school district.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

answer: dead jah

step-by-step explanation:

bullet + jah= dead jah

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation:

the answer is a and d