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Dominik [7]
3 years ago
13

Scores on a biology final exam are normally distributed with a mean of 220 and a standard deviation of 16. Determine the percent

age of samples of size 4 that will have mean scores within 12 points of the population mean score of 220. Round your answer to two decimal places.
Mathematics
1 answer:
IrinaK [193]3 years ago
6 0

Answer:

86.64%

Step-by-step explanation:

Mean (μ) = 220

σ= 16

n= 4

mean score(X) = 220 -12

= 208

Using central limit theorem which says that for a sample of size (n), the standard error is

standard deviation /√n

= 16/√4

= 16/2

= 8

Standard error = 8

Using Z score

Z = (μ - x) / standard error

Z= (220 -208)/8

Z= 12/8

Z= 1.5

From the table, Z = 1.5 = 0.4332

Since the normal distribution curve is symmetrical, we have

0.4332*2

= 0.8664

Percentage = 0.8664*100

= 86.64%

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Answer:

  dy/dx = y/(2x)

Step-by-step explanation:

The product formula can be used, along with the power rule.

  d(uv) = du·v +u·dv

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  d(y^2/x) = d(18)

  2y·dy/x -y^2/x^2·dx = 0

  2x·dy -y·dx = 0 . . . . . . . . multiply by x^2/y

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6 0
3 years ago
In the expression 2a + 5 + a -14 + 3b which ones are the constants​
Finger [1]

Answer:

5

Step-by-step explanation:

Constant= # without variable

5 0
3 years ago
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PLEASE ANSWER + BRAINLIEST!!!
ozzi

Answer:

C is correct

Step-by-step explanation:

Given: System of linear inequality

y

y\geq 2x+3

First we will draw the graph of system of equation and then see the correct option.

Equation 1: y

We will make the table.

 x :  -2    0     2

 y :   1     0    -1

Test Point: (0,4)

0<-2 ( False )

Shaded area away from (0,4)

Equation 2:y\geq 2x+3

We will make the table.

 x :  -2    0     2

 y :  -1     3    7

Test Point: (0,4)

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Shaded area towards (0,4)

Please see attachment for graph.

Hence, C is common shaded area (region)

8 0
3 years ago
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The Math Club is selling shirts to raise money for a Pi Day Convention. Short sleeve shirts are $5 and long sleeved shirts are $
Sladkaya [172]
<h2>Answer:</h2>

# short sleeved shirts sold  is 50

# long sleeved shirts sold 35

<h2>Step-by-step explanation:</h2>

First, you need to set up the equation.

(5x)+10*(85-x)=600

5x+850-10x=600

-5x+850=600

-5x=600-850

-5x=-250

x=50


After you solve the equation, you know, that 50 short sleeve t-shirts were sold. Now, you need to find out how many long sleeved t-shirts were sold. 85-50=35. Now you know, that there were 35 long sleeved t-shirt sold.

You can now check your answers. 50*5 + 35*10=600

That is correct.

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