Answer:
If it is a six-sided die then it has the probability of 1/6 or .16
Step-by-step explanation:
Directly proportional, both increase/decrease, Multiple k(constant you needed to solve for)..
Inversely --one increases as the other decreases, increase the denominator & fraction gets smaller.... So
Problem:
Dirextly to X (× by X)
Inversely to Y, (÷ by Y)
Z= k X/Y
Solve, working backwards: Z =5 becomes
5 = k (X) ÷ (Y). And
X=15 and Y =9 becomes
5= k(15)/(9). Undo ÷9, ×9 both sides
45= k(15). Now undo ×15 by ÷15 both sides
45/15 = 3. So k=3, (also called your constant of variation)....and your Equation/Proportion becomes...
Z = 3X/Y
Use the new #s.... X=23, Y=14
Z= 3×23÷14 = 69/14. If they want spirochete answer divide and round to corresponding # if decimals
Answer:
here ya go!
Step-by-step explanation:
First thing, there is a typo in all your answers: there is no way you can get 14 as a product of the numbers of the spinner's sectors, but rather 36.
After this premise, the correct answer is A) If the product of the spins is 2, pale lilac will be used. If the product is 4, mellow sage will be used. If the product is 12, seafoam blue will be used. If the product is 1, 6 or 36, totally taupe will be used.
Explanation:
You have a spinner with 4 sectors that is spinned twice. Therefore, the possible outcomes are 4 × 4 = 16 pairs of numbers:
(1, 1) (1, 2) (1, 2) (1, 6)
(2, 1) (2, 2) (2, 2) (2, 6)
(2, 1) (2, 2) (2, 2) (2, <span>6)
</span>(6, 1) (6, 2) (6, 2) (6, <span>6)
The possible products are then,
1 2 2 6
2 4 4 12
2 4 4 12
6 12 12 36
Hence, we have:
1 possible product of 1;
4 </span><span>possible products of 2;
4</span><span> possible products of 4;
</span><span>2 possible product of 6;
</span><span>4 possible products of 12;
</span><span>1 possible product of 36.
Since the paint colors are 4, to make a fair decision, each color should be matched with 16 </span>÷ 4 = 4 total possible outcomes: the products 2, 4 and 12 each have 4 possible outcomes, the products 1, 6 and 36 together have 4 possible outcomes.
Therefore, a fair decision is taken if we match:
product 2 - color 1
product 4 - color 2
product 12 - color 3
products 1, 6 and 36 - color 4.
Hence, the only correct option is A)
-308° and 412° because 52-360 is -308 and 52+360 is 412
