1. Stock Market:
If a stock price decreased $2 per day for four days, then the total change in value of the stock is $8. (2 x 4)
Answer: $8.
2. Evaporation:
With the given information, we can infer that if 3 inches of water in a tank decreases each week, then 15 inches of water would decrease over the course of 5 weeks. (3 x 5)
Answer: 15 inches.
3. Football:
If a football team lost 9 yards on 3 consecutive plays, then the team's total change in position is 27 yards. (9 x 3)
Answer: 27 yards.
Hope this helps! Good luck.
Answer:
88°
Step-by-step explanation:
<h3>supplementary angle are angles that add up to 180°</h3>
r+92= 180
r= 180-92
r = 88°
Answer:
9 pieces
Step-by-step explanation:
28 inches rope cut into 3-inch pieces
There is no matching answer choice, if given numbers are correct then the answer is 9 full pieces
---------
<u>Note:</u>
- The close answer choice is 8
- 28/8 = 3 1/2 or 3.5
- So if cut into 3.5 inch pieces then it is 8 full pieces
- just in case it was typo 3 instead of 3.5
Answer:
<h2>E. 22</h2>
Step-by-step explanation:
<em>Look at the picture</em>.
The lines <em>l</em> and <em>m</em> are parallel, therefore alternate interior angles are congruent.
Therefore 
Supplementary angles add up to 180°.
Therefore
<em>add 16 to both sides</em>
<em>subtract 5x from both sides</em>
We know: the sum of the triangle angle measures is 180°.
Therefore we have the equation:
These are 6 questions and 6 answers.
To find each probability we will use the definition of probability:
Probability = number of positive outcomes / number of total possible outcomes
1) <span>P(Jack or ten)
</span>
<span>Answer: 2/13 ≈ 0.12
</span>
Justification:
i) Positive outcomes: A standard deck of cards has 4 jacks and 4 tens, then those are 4 + 4 = 8 different positive outcomes.
ii) Possible outcomes: a standard deck of cards has 52 different cards, so, that is a total of 52 different possible outcomes
iii) Probability, P
P = number of positive outcomes / number of total possible outcomes
P = 8 / 52 = 2/13 ≈ 0.15
<span>
2.P(red or black)
</span>
Answer: 1
Justification:
i) Positive outcomes
Half of the cards are red and half of the cards are black, so they both add for the total of the cards = 52
ii) Possible outcomes: 52 cards
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 52 / 52 = 1
<span>
3.P(queen or club)
</span>
Answer: 4/13 ≈ 0.31
Justification:
i) Positive outcomes
There are 4 Queens.
There are 1/4 of 52 clubs = 1/4 × 52 = 13 clubs.
But you cannot add all of them, because one club is the Quenn of Clubs.
Then, the total number of different Queens and clubs is 4 + 13 - 1 = 16
ii) Possible outcomes: 52 different cards
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 16 /52 = 4 / 13 ≈ 0.31
<span>
4.P(red or ace)
</span>
Answer: 7 / 13 ≈ 0.54
Justification:
i) Positive outcomes
Half of the cards are red: 26
There are 4 aces.
Since 2 aces are red, the number of different red and aces cards is: 26 + 4 - 2 = 28
ii) Possible outcomes: 52 different outcomes
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 28 / 52 = 7 / 13 ≈ 0.54
<span>
5.P(diamond or black)
</span><span>
</span>
Answer: 1/2 = 0.5
Justification:
i) Positive outcomes
There are 52 / 4 = 13 diamonds
There are 26 black cards.
All the diamonds are black cards.
Then, the number of different diamond or black cards is 13 + 26 - 13 = 26
ii) Possible outcomes: 52 different cards.
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 26 / 52 = 1/2 = 0.5
6.P(face card or spade)
Answer: 11/26 ≈ 0.42
Justification:
i) Positive outcomes
Face cards are jacks, queens and kings. That is 3 × 4 = 12 different cards.
The spades are 13 cards.
Since, 3 of the faces are spade cards, the number of different cards of those types are 12 + 13 - 3 = 22
ii) Possible outcomes: 52 different cards
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 22 / 52 = 11 / 26 ≈ 0.42
