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mixer [17]
3 years ago
7

20000 students took a standardized math test. The scores on the test are normally distributed, with a mean score of 85 and a sta

ndard deviation of 5. About how many students scored between 90 and 95?
Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0

Answer: 2718

Step-by-step explanation:

Given: Mean score = 85

Standard deviation = 5

Let x be the score of a random student that follows normal distribution.

Then, the probability that a student scored between 90 and 95 will be

P(90< x < 95)\\\\=P(\dfrac{90-85}{5}

The number of students scored between 90 and 95 = 0.1359 x (Total students)

= 0.1359 (20000)

= 2718

Hence, The number of students scored between 90 and 95 = 2718

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Step-by-step explanation:

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4 0
3 years ago
I need help with this math problem please
Sindrei [870]

Answer:

  • 65 -3x = 55 -2.5x
  • 20 periods
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Step-by-step explanation:

The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...

  65 -3x

The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...

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The equation that can be used to find x that makes the values equal is ...

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The solution can be found by adding 3x-55 to both sides of this equation.

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Multiplying by 2 gives ...

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After 20 30-day periods. the cards will have the same value.

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The value after 20 periods is ...

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6 0
3 years ago
A cone with base area 16 pi square and height 9 feet
alekssr [168]
Area of cone = 1/3 base area x height
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8 0
3 years ago
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Answer:

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4 0
2 years ago
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olasank [31]
First we are going to express both equation in terms of  y to compare their slopes:
For our first equation:
-x=1-y
-x-1=-y
y=x+1
For our second equation:
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y=x+3
So now we have our system of equations in terms of y:
\left \{ {{y=x+1} \atop {y=x+3}} \right.
Notice that the slope, the coefficient of x, in both equations is the same: 1, and if tow linear equations have the same slope, they are parallel.

We can conclude that we can classify the system of equations as parallel.
3 0
3 years ago
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