Answer:
<u>The correct answer is that a student have to score 1.41 standard deviations above the mean to be publicly recognized.</u>
Step-by-step explanation:
For answering the question, we don't know the score mean of the National Financial Capability Challenge Exam and neither the population or number of students who take the exam. The only information provided is that the public recognition in this normal distribution is only for students that scores in the top 8%. In other words for students above 92% of the population.
With this information, we can go to a Z Score Table and check that for being on the top 8% (above the 92% of any population), your result must be 1.405 standard deviations above the mean.
<u>Rounding the answer to 2 decimal places, it's 1.41 standard deviations above the mean.</u>
If we have 2 more blue pens than black pens, our blue pens can be rewritten as blue = 2 + black. Now we can set up an equation. Originally this equation would involve both blue and black, but since we only have 1 equation to set up, we can only have 1 unknown. That's why we base the number of blue pens on the number of black pens and do a substitution. So instead of blue + black = 94, we have (black + 2) + black = 94. That simplifies to 2 black + 2 = 94, and 2 black = 92. Now if we divide by 2, we get that the number of black pens is 46. If we have 2 more blue than black, the number of blue pens we have is 48. 46 + 48 = 94, so there you go!
Step-by-step explanation:
CCTV cameras in a bit more of the day I will have a great time and where is the only thing that has to do with it
Answer:
x = 6
Step-by-step explanation:
Step 1: Write equation
-4x + 6 = 3x - 36
Step 2: Solve for <em>x</em>
- Add 4x to both sides: 6 = 7x - 36
- Add 36 to both sides: 42 = 7x
- Divide both sides by 7: x = 6
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-4(6) + 6 = 3(6) - 36
-24 + 6 = 18 - 36
-18 = -18
