How to write this standard form? 2y=-3x+5
2 answers:
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Answer:
80%
Step-by-step explanation:
According to the given data, the numbers 0 through 6 represent students who sent a text yesterday while the numbers 7 through 9 represent students who did not send a text yesterday.
Based on this key, we will calculate the number of students who sent the text yesterday and the number of students who did not sent the text yesterday.
The given data is: 62072, 34570, 80983, 04292, 83150, 36330, 96268, 14077, 77985, 13511
For each group we will identify how many students sent the text and how many students did not. According to the key, a number from 0 to 6 will be counted as a student who sent the text and a number from 7 to 9 will be counted as a student who did not send the text. Students who did not sent the text are made bold in the groups below.
62072: 4 students sent the text, 1 did not
34570: 4 students sent the text, 1 did not
80983: 2 students sent the text, 3 did not
04292: 4 students sent the text, 1 did not
83150: 4 students sent the text, 1 did not
36330: All 5 students sent the text
96268: 3 students sent the text, 2 did not
14077: 3 students sent the text, 2 did not
77985: 1 student sent the text, 4 did not
13511: All 5 students sent the text
We need to find the probability that 3 or more of a group of 5 students randomly selected will send a text today.
From the given groups, the number of groups where 3 or more students sent a text = 8
This represents our number of favorable or desired outcomes.
Total number of possible outcomes is the total number of groups = 10
Since, probability is defined as the ratio of number of favorable outcomes to total number of outcomes, based on the simulated data the probability that 3 or more of a group of 5 students randomly selected will send a text today will be =
Thus, based on the simulated data there is 80% probability that 3 or more of a group of 5 students randomly selected will send a text today
Ans: Option A
Explanation:
Let's solve it smartly!
Given expression:
--- (A)
Factors: (x+p)(x+q)
Condition: c<0
Now let us expand (x+p)(x+q):
=>
--- (B)
By comparing (B) with (A), we can say that:
pq = c --- (C)
Now, as the condition says, c<0, it means either p or q is negative. Both cannot be positive or both cannot be negative.
1) If p>0, q>0, it means c>0 since (+p)(+q) = (+c)(according to equation (C)). Condition is not met.
Hence, option B and D are wrong.
2) If p<0, q<0 it means c>=0 since (-p)(-q) = (+c)(according to equation (C)). Condition is not met.
Hence option C is out as well.
We are left with Option A:p<0, q>0 it means c<0 since (-p)(+q) = (-c)(according to equation (C)).
Condition is MET!
Hence,
Ans: Option A: p= -3, q= 7
Explanation:
Let's solve it smartly!
Given expression:
Factors: (x+p)(x+q)
Condition: c<0
Now let us expand (x+p)(x+q):
=>
By comparing (B) with (A), we can say that:
pq = c --- (C)
Now, as the condition says, c<0, it means either p or q is negative. Both cannot be positive or both cannot be negative.
1) If p>0, q>0, it means c>0 since (+p)(+q) = (+c)(according to equation (C)). Condition is not met.
Hence, option B and D are wrong.
2) If p<0, q<0 it means c>=0 since (-p)(-q) = (+c)(according to equation (C)). Condition is not met.
Hence option C is out as well.
We are left with Option A:p<0, q>0 it means c<0 since (-p)(+q) = (-c)(according to equation (C)).
Condition is MET!
Hence,
Ans: Option A: p= -3, q= 7