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Elanso [62]
3 years ago
10

A high-speed train passes through a 5.4 km long tunnel completely in 1 minute 7.68 seconds.

Mathematics
1 answer:
xenn [34]3 years ago
3 0

Answer:

Step-by-step explanation:

Speed time= distance

Change in/h into m/s by multiplyingby 5/18

=300×5/18=83.33

Time in sec=(1×60)+7.68=67.68

83.33×67.68=5640m

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Sylvia Corporation's last trade was $29.77 and its previous quiz was $28.35. What is the percentage change in stock price?
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4. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. In a
borishaifa [10]

675 people will have score between 85 and 120

Step-by-step explanation:

Given

Mean = 100

SD = 15

If we have to find percentage of score between two values we have to find the z-score for both values and then area under the curve for both values

z-score is given by:

for a value x:

z-score = \frac{x-mean}{SD}

So,

For 85:

z-score = z_1 = \frac{85-mean}{SD}\\ = \frac{85-100}{15}\\=\frac{-15}{15}\\=-1

z-score = z_2 = \frac{120-mean}{SD}\\ = \frac{120-100}{15}\\=\frac{20}{15}\\=1.3333

Now we have to find the area under the curve for both values of z-score. z-score tables are used for this purpose.

So,

For z1 : 0.1587

For z2: 0.9082

The area between z11 and z2:

z_2-z_1 = 0.9082-0.1587=0.7495

So the probability of score between 85 and 120 is 0.7495

As the sample is of 900 people, the people with scores between 85 and 120 will be:

900*0.7495 = 674.55 people

Rounding off to nearest whole number

675 people will have score between 85 and 120

Keywords: Probability, SD

Learn more about probability at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

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