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)
Answer:
Option C) a positive correlation.
Step-by-step explanation:
We are given the following in the question:
" People who tend to score low on one variable tend to score low on another variable."
Correlation:
- Correlation is a technique that help us to find or define a linear relationship between two variables.
- It is a measure of linear relationship between two quantities.
- A positive correlation means that an increase in one quantity leads to an increase in another quantity or decrease in one quantity leads to decrease in another quantity.
- A negative correlation means with increase in one quantity the other quantity decreases.
- +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
Since, for the given case with decrease in one variable other also decreases, thus, it is an example of positive correlation. Thus, the correlation coefficient cannot be less than or equal to zero.
Thus, the correct answer is
Option C) a positive correlation.
The sum= +.
The + of 8 * a number (let number=n) and 2.
8n+2
8 is being multiplied by a number n, and then added to 2.
I hope this helps!
~kaikers
Convert the percentage into a decimal:
Set up a proportion using the hours Andrea worked, and the percentage compared to Carmen's workload:
The numerator will represent the hours worked, and the denominator will represent the percentage when compared to Carmen's workload.
Cross multiply the fractions:
Divide both sides by 0.45 to get x by itself:
Carmen worked
20.56 hours last week.
