Answer:
√
17 , 4.23 , 9/2
Step-by-step explanation:
√
17 = 4.12310562
... (about 4.1)
9/2 = 4.5
<u>Question 8</u>
a^2 + 7a + 12
= (a+3)(a+4)
When factorising a quadratic, the product of the two factors should equal the constant term (12), and the sum of the two factors should equal the linear term (7). To find the two factors, list out the factors of 12 (1x12, 2x6, 3x4) and identify the pair that adds up to 7 (3+4).
An alternative method if you get stuck during your exam would be to solve it algebraically using the quadratic formula and then write it in the factorised form.
a = (-7 +or- sqrt(7^2 - 4(1)(12)) / 2(1)
= (-7 +or- sqrt(1))/2
= -3 or -4
These factors are the negative of the values that would go in the brackets when written in factorised form, as when a = -3 the factor (a+3) would equal 0. (If it were positive 3 instead, then in the factorised form it would be a-3).
<u>Question 10</u>
-3(x - y)/9 + (4x - 7y)/2 - (x + y)/18
Rewrite each fraction with a common denominator so you can combine the fractions into one.
= -6(x - y)/18 + 9(4x - 7y)/18 - (x + y)/18
= (-6(x - y) + 9(4x - 7y) - (x + y)) /18
Expand the brackets and collect like terms.
= (-6x + 6y + 36x - 63y - x - y)/18
= (29x - 58y)/18
= 29/18 x - 29/9 y
1500 people subscribed Sunday edition and 250 people subscribed only sunday edition.
<u>Solution:</u>
Given, A survey of 2500 subscribers to a certain news paper revealed that 2250 people subscribe to the daily morning edition
And 1250 subscribe to both the daily and the sunday editions.
We have to find how many subscribe to the Sunday edition? how many subscribe to the Sunday edition only?
Let x denote the number who subscribe to the Sunday edition.
Then the addition rule with overlap tells us that
Those who subscribe daily edition + those who subscribe sunday edition - those who subscribe both daily and sunday edition = total subscribers in survey
2250 + x – 1250 = 2500
1000 + x = 2500
x = 1500
so, 1500 subscribe to the Sunday edition and 1500 – 1250 = 250 subscribe to the Sunday edition only.
Hence, 1500 people subscribed Sunday edition and 250 people subscribed only sunday edition.
17 quarts is greater. 4 gallons is equal to 16 quarts, right?
So 17 quarts would be greater than 4 gallons or 4.25 gallons
17 QUARTS IS GREATER.
Answer:
First blank - A)Total Number of Possible Outcomes
Second blank - B)Number of Winners
Step-by-step explanation:
The exact question is as follows :
We know that,
Probability of an event is equals to Total number of Favorable outcomes divided by Total number of outcomes
So,
P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes
As we have to predict the Number of winners of a game
So,
P(Number of winner) = Number of winners ÷ Total number of Contestants
∴ we get
P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes
= Number of winners ÷ Total number of Contestants
