Answer:
For every 1000 pairs sold, the manufacturer expect to replace 239 pairs for free.
Step-by-step explanation:
Given:
Mean (μ) = 2.2, Standard deviation(S.D) (σ) = 1.7 years and x = 1 (1 year)
Let's find the Z score.
Z = 
Now plug in the given values in the above formula, we get
Z = 
Now we have to use the z-score table.
The z-score for 0.71 is 0.2611
Since it z is negative, so we subtract 0.2611 from 0.5000
0.5000 - 0.2611 = 0.2389
Percentage = 0.2389 × 100 = 23.89%
To find replaces for 1000 pairs, we need to multiply 23.89% by 1000
= 
= 239
The cannot be in decimal, when we round off to the nearest whole, we get
239
Answer:
Step-by-step explanation:
Given the equation y=-2x+1 and given another equation y=mx+b in order for us to have no solution we must guarantee that both lines do not intersect. Recall that m is the slope of the second equation and b the y-intercept. To guarantee that both lines don't intersect, they must be parallel. To have this result, we must have that they have the same slope but different y intercept. That is take m = -2 and b any value different to +1. For example, the b = 6. So
y = -2x+6 = -2(x-3) is another equation that gives no solution to the system.
To solve this problem you must apply the proccedure shown below:
1. You have the the<span> 13.5-m fire truck ladder is leaning against a wall and the ladder makes an angle of 39 degrees 45 ' with the horizontal.
2. Then you have:
3</span>9 degrees 45'=39.75°
<span>
Sin(39.75°)=d/13.5
d=13.5x</span>Sin(39.75°)
<span> d=8.63
</span>
Answer:
Hours spent for snowboarding = 1 hour 35 minutes
Step-by-step explanation:
Total hours spent for skiing and snowboarding = 3 hours
Hours spent for skiing = 1 hours 25 minutes
How long did he spend snowboarding?
Hours spent for snowboarding = Total hours spent for skiing and snowboarding - Hours spent for skiing = 1 hours 25 minutes
= 3 hours - 1 hours 25 minutes
1 hour = 60 minutes
3 hours = 180 minutes
1 hours 25 minutes = 85 minutes
3 hours - 1 hours 25 minutes
= 180 minutes - 85 minutes
= 95 minutes
95 minutes = 1 hour 35 minutes
Hours spent for snowboarding = 1 hour 35 minutes
Sandy ran 5 ½ during the second hour.
- Total amount Sandy used to jog for 2 hours = 13 miles
- Amount Sandy used to run in the 1st hour = 7 ½
<h2>Further Explanation</h2>
Therefore the amount Sandy used to run in the 2nd hour = Total amount Sandy used to jog for 2 hours – Amount Sandy used to run in the 1st hour
= 13 – 7 ½ (and can be expressed as 7 + ½)
= 13 – (7 + ½)
= 13 – 7 – ½
= 6 – ½ (otherwise expressed as 6/1 – 1/2)
= (6 x 2) – (1 x 1) / 2
= (12) – (1) / 2
= 12 – 1 / 2
= 11/2
= 5 ½
Hence, Sandy ran 5 ½ miles during the second hour.
Based on the above expression, it is observed that there is an element of fractions in the math problem. Also, BODMAS was clearly used to derive the solution to the given question.
Recall, 13 – (7 + ½). The mathematical signs, (–) and (+) were multiplied; one of mathematics rule states that – x + = –; thus 13 – 7 – ½
Notably, fractions deal with denominators and numerators; and in these questions, with the help of BODMAS, they (6/1 – 1/2) were used to factor each other out to derive the final answer 5 ½.
LEARN MORE:
KEYWORDS:
- bodmas
- fractions
- mathematical sign
- denominators
- numerators
