I've attached the complete question.
Answer:
Only participant 1 is not cheating while the rest are cheating.
Because only participant 1 has a z-score that falls within the 95% confidence interval.
Step-by-step explanation:
We are given;
Mean; μ = 3.3
Standard deviation; s = 1
Participant 1: X = 4
Participant 2: X = 6
Participant 3: X = 7
Participant 4: X = 0
Z - score for participant 1:
z = (x - μ)/s
z = (4 - 3.3)/1
z = 0.7
Z-score for participant 2;
z = (6 - 3.3)/1
z = 2.7
Z-score for participant 3;
z = (7 - 3.3)/1
z = 3.7
Z-score for participant 4;
z = (0 - 3.3)/1
z = -3.3
Now from tables, the z-score value for confidence interval of 95% is between -1.96 and 1.96
Now, from all the participants z-score only participant 1 has a z-score that falls within the 95% confidence interval.
Thus, only participant 1 is not cheating while the rest are cheating.
Answer:
<em>The second choice is correct. It can be factored as:</em>
Step-by-step explanation:
<u>The Difference of Squares Method for Factoring</u>
The expression:
Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.
The condition for a binomial to be factored by using this method is that both terms must have an exact square root and they must be subtracted.
The last two choices are not valid because they are not a subtraction but an addition.
The first choice is not valid because none of the terms is a perfect square.
The second choice is correct. It can be factored as:
Answer:
1. 12x^2 +2xy
Step-by-step explanation:
1. 12x^2 +2xy
2. 21ab^2 +35ab
3. w^2+15w+ 14
4. m^2-12m+20
5. 2k^2+5k-3
6. -r^2-5r-6
7. 8y^2+26y+15
8. -2d^2-7d-5
9. (h+6)(h-4)=0
10. s^2-7s+12=0
11. -2d^2-7d-5
It has a probability of 2 out of 36 chances as there are only two ways it can happen out of 36 different combinations that can be rolled. Product means multipication also in Maths
<span>The first probability on the first roll is that Dice 1 must be a 5 and Dice 2 must be a 6 so that 5x6=30 </span>
<span>The second probability on the second roll is that Dice 1 must be 6 while Dice 2 must be 5 so that 6x5=30 </span>
<span>That is the only two ways out of 36 different combinations that can be made by rolling to Die. Therefore the probability is 2 out of 36
</span>
The answer is <em>B. 6 ÷ D</em>
