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sergey [27]
2 years ago
13

a school district requires all graduating seniors to take a mathematics test. This year, the rest scores were approximately norm

ally distributed for the 1208 graduating seniors. This mean score on the test was a 74 and the standard deviation was 11. what percent of the graduating seniors had a test above 85? Express your answers to the nearest percent.
Mathematics
1 answer:
Klio2033 [76]2 years ago
3 0
A score of 85 would be 1 standard deviation from the mean, 74.  Using the 68-95-99.7 rule, we know that 68% of normally distributed data falls within 1 standard deviation of the mean.  This means that 100%-68% = 32% of the data is either higher or lower.  32/2 = 16% of the data will be higher than 1 standard deviation from the mean and 16% of the data will be lower than 1 standard deviation from the mean.  This means that 16% of the graduating seniors should have a score above 85%.
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The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from th
jeyben [28]
Weight = k/(distance)². Let's find the value of k when distance = earth radius:

180 = k/(3900)² → k = 180 x 3900² → k = 2,737,800,000

If he is at 325 miles ABOVE the earth, the distance becomes: 3,900+325=4,225 miles and his weight becomes:

Weight = k/(distance)² → Weight = 2,737,800,000/(4225)² = 153.37

Weight = 153.37 lb

8 0
2 years ago
In a particular city, 82% of the residents have a desktop computer, 47% have a desktop computer and a laptop computer, and 3% ha
vagabundo [1.1K]

Answer:

B) 0.57

Step-by-step explanation:

Let's define:

  • A: the home has a laptop
  • B: the home has a desktop computer.

Data

  • P(B) = 0.82
  • P(A∩B) = 0.47

We want to find the probability that a home has a laptop given that it has a  desktop computer, that is, P(A|B).

P(A|B) = P(A∩B)/P(B) = 0.47/0.82 = 0.57

3 0
2 years ago
the united states has 12,383 miles of coastline.if 0.8% of the coastline is located in georgia,about how many miles of coastline
Sever21 [200]

Answer:

825.5 miles of coastline

Step-by-step explanation:

The United States has 12383 miles of coastline.

0.8% of the coastline is in Georgia

Total number of coastline in Georgia will be

0.8% /100% x 12383

0.0667 x 12383

825.5

So there are 825.5 miles of coastline Georgia

6 0
2 years ago
An acrobat of mass m slides down a vertical rope of height h. For the first three quarter of her descent she grips the rope with
Maksim231197 [3]

Using the work-energy theorem would be best in solving this problem. The net <span>work </span>on an object causes a change in the kinetic energy of the object, based from the work-energy theorem. For this, the formula for net work = change in kinetic energy = final kinetic energy - initial kinetic energy.

 

So, first sliding distance covered 3/4 with a net force 1-5/9 = 4/9 and w (w stands for weight of acrobat) 

Therefore, work done = 4/9 * 3/4<span>
In the next step, the distance to be covered is 1/4. 
So, let the new frictional force required be X w 
Therefore, net force upward = (X - 1) w 
Thus, work to be done = (X - 1) * 1/4 w---------(2) 
Equating X = 1 + 4/3 = 7/3 </span>

<span>
<span>So, the frictional force that she must produce in the last quarter has to be 7/3 times her weight.</span></span>

7 0
2 years ago
In a relay race, the probability of the Galaxy team winning is 22%. In another unrelated relay race, the probability of the Kome
Shalnov [3]

Answer: There is probability of approximately 12% that Komets losing their race and the Galaxy winning their game.

Explanation:

Since we have given that

Probability of the Galaxy team wins = 22%

Probability of the Komets team wins = 47%

So, Probability of the Komets losing their race is given by

100-47=53\%

We need to find the probability of the Komets losing their and the Galaxy winning their game .

Let Event K : Komets losing their game

Event G : Galaxy winning their game

Since these are two independent events,

So,

P(K\cap G)=P(K).P(G)\\\\P(K\cap G)=0.22\times 0.53\\\\P(K\cap G)=0.1166=0.12=12\%

So, there is probability of 12% that Komets losing their race and the Galaxy winning their game.


3 0
2 years ago
Read 2 more answers
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