Answer:
Step-by-step explanation:
To understand the situations we must do a Venn diagram:
The total of people asked is 3400. Then,
a) For People who enjoyed vanilla but not chocolate or mint, seeing the diagram of Venn, we can deduce the equations:

b) For people who did not enjoy chocolate, vanilla or mint:
Plug in numbers. if originally, it was V=1/2 * 1 * 1 * 2=1
<span>tripling the dimensions would be V=1/2 * 3 * 3 * 6=27 </span>
<span>it would be 27 times larger. this could also be found by 3^3, just as doubling would render 2^3
</span>
6 divided by 1.89= 3.17 so you can say she bought 3 bottles of fruit juice
Answer: Randomly assign the 1,200 students to <u>6 equal-sized</u> groups. Then select one of the groups and place their names in the bin. Randomly select the winner from the bin.
Step-by-step explanation:
First, let us see how many bins we will need in total.
1,200 students / 200 notecards per bin = 6 bins
Now, the first two options do not give all students a fair chance of winning. They are not our answer.
The last two have a different number of groups. Looking at the calculation we did earlier, we will need 6 equal-sized groups. This means our answer is the last option.
Answer:
look at the horizontal line in the picture. the degree measure of any line is 180° given there's a perpendicular ray through that horizontal line it's therfore split into two sides both with angle measure of 90°.
given f is 71° then g can be found knowing that both g and f must add to 90°. 71+g=90. g=19°
now look at f again. f and d are what's known as vertical angles and that means that they're angle measures are congruent. therfore the measure of d is 71° d=71°
Finally to find e we notice that angle d and e form a straight line which means both angles measures must add to 180°. therefore e can be found by computing d+e=180
aunaitituitmg our information we know 71+e=180 then e must equal 109° e=109°