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____ [38]
4 years ago
14

Consider a normally distributed data set with a mean of 154 and a standard deviation of 9.8. If one of the observed values is 17

6, what is the z score?
Mathematics
1 answer:
Arturiano [62]4 years ago
8 0
The z-score is calculated as (x - m) / s, where x is the actual score, m is the mean, and s is the standard deviation. In this case, x = 176, m = 154, and s = 9.8. Therefore z can be calculated as: z = (176 - 154) / 9.8 = 2.245, and the z-score of 2.245 means that 176 is 2.245 standard deviations above the mean.
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PLEASE HELP ASAP
svet-max [94.6K]

Answer:

1) 3x² - 15x + 18

2) y-intercept: 18

Zeros: 2 and 3

3) 12x ; (x - 6)²

4) 16x² - 81; (4x - 9)(4x + 9)

Step-by-step explanation:

3x² - 15x + 18

3(x² - 5x + 6)

3[x² - 2x - 3x + 6]

3[x(x - 2) - 3(x - 2)]

3(x - 2)(x - 3)

x - 2 = 0

x = 2

x - 3 = 0

x = 3

Zeros: 2 and 3

y-intercept: at x = 0

3(0-2)(0-3) = 18

x² - 2(x)(b) + 6²

b = 6

2x(6) = 12x

(x - 6)²

16x² - 81

(4x)² - 9²

(4x - 9)(4x + 9)

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4 years ago
What is the answer to this problem triangle
Elza [17]

If both triangles ABE = CBD then <C = <A

Hope it helps.

4 0
3 years ago
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The product of the roots of the equation x2 + x=2 is:<br> 0-2<br> 01
gregori [183]

Answer:

-2

Step-by-step explanation:

x^2 + x=2

Subtract 2 from each side

x^2 + x-2=2-2

x^2 + x-2=0

Factor

What 2 numbers multiply to -2 and add to 1

2*-1 = -2

2+-1 =1

(x-1)(x+2)=0

Using the zero product property

x-1 = 0  x+2 = 0

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Product of the roots

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3 years ago
The perimeter of a triangle is 19 cm. If the lengh of the longest side is twice
aliya0001 [1]

If the  perimeter of a triangle is 19 cm. The lengths of 3 sides is: a = 8, b = 7, c = 4.

<h3>Parimeter</h3>

Let a = longest

Let b= shortest

Let c= third side

a = 2c

a = (b+ c) - 3

a + 3 = b + c

Using three variables to solve the expression for perimeter

Perimeter= 19 cm

a+ b + c = 19

a + (a + 3) = 19

2a + 3 = 19

2a= 16

Divide both side by 2a

a=16/2

a = 8

a = 2c

8 = 2c  

c=8/2

c = 4

a + b + c= 19

8 + b + 4 = 19

12 + b = 19

b=19-12

b = 7

Hence,

a = 8, b = 7, c = 4

Therefore If the  perimeter of a triangle is 19 cm. The lengths of 3 sides is: a = 8, b = 7, c = 4.

The complete question is:

Perimeter of triangle is 19cm. If the length of the longest side is twice that of the shortest side and 3 less than the sum of the lengths of the 2 sides find lengths of 3 sides.

Learn more about perimeter here:brainly.com/question/19819849

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Answer:

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4 years ago
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