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Korolek [52]
2 years ago
7

The weights of a small box of healthy oats are normally distributed with a mean of 8.9 oz and a standard deviation of 0.1 oz. Fi

nd the probability that a randomly chosen box of healthy oats weighs more than 8.8 oz. Express the probability as a decimal.​
Mathematics
2 answers:
s2008m [1.1K]2 years ago
8 0

Answer:

) Compute the sample mean x and the sample standard deviation s.

Do NOT use a computer. You may only use +, –, ×, ÷, and on a calculator.

Show ALL work.

9

143.1

9

15.5 16.2 16.1 15.8 15.6 16.0 15.8 15.9 16.2 = = = ∑ + + + + + + + +

n

x

x

i

= 15.9.

x x 2 x x − x ( ) 2

x − x

15.5

16.2

16.1

15.8

15.6

16.0

15.8

15.9

16.2

240.25

262.44

259.21

249.64

243.36

256.00

249.64

252.81

262.44

OR

15.5

16.2

Step-by-step explanation:

Snezhnost [94]2 years ago
8 0

Answer:

The answer is 0.84.

Step-by-step explanation:

I solved it and got it all correct.

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Find the length of AB
aniked [119]
FIRST QUESTION
Given points are:
A(2, -4)  and B(6, 2)
Now,  Use the distance formula.
distance formula = \sqrt{  (x_{2}- x_{1})^{2} + ( y_{2} - y_{1} )^{2}  }
 
Now, plug the values into the formula, So,
distance  = \sqrt{  (6- 2)^{2} + ( 2 - (-4))^{2}  }
               
                = \sqrt{  (6- 2)^{2} + ( 2 +4))^{2}  }
    
                = \sqrt{  (4)^{2} + ( 6))^{2}  }
 
                = \sqrt{ 16+36}
 
                = \sqrt{52}
  
               = 2 \sqrt{13}

So, the length of AB is 2 \sqrt{13}.




<span>THIRD QUESTION
</span>Two points given are:
A(3, -2) and B(1, 1)
Also given that B is the midpoint of AC.

Let, the co-ordinates of C be C(a, b).
Now, using midpoint formula,
Midpoint = (\frac{  x_{1}+ x_{2}   }{2} , \frac{ y_{1}+ y_{2}  }{2} )
        
(1, 1)=(\frac{ 3+ a }{2} , \frac{ -2+b }{2} )


Now, equaling the ordered pair, we have,

1=\frac{ 3+ a }{2}  .............equation (1)   

1=\frac{ -2+b }{2}  ................equation (2) 

Now, taking equation (1)
1=\frac{ 3+ a }{2}

1*2=3+a

2-3=a

a=-1

Now, taking equation (2)
1=\frac{ -2+b }{2}

1*2=-2+b

2+2=b

b=4

<span>So, the co ordinates of C are (a, b) which is <u>(-1 , 4)



</u></span>
<span>SECOND QUESTION:
</span>Given equations are:
2x + 3y = 14.....................equation (1)
-4x + 2y = 4 .....................equation (2)
Taking equation (2)
-4x + 2y = 4
2y = 4 + 4x
y = (4 + 4x) / 2
y = 2 + 2x .......................equation (3)
Now, Taking equation (1)
2x + 3y = 14
Substituting the value of y from equation (3), we get,
2x + 3(2 + 2x) = 14
2x + 6 + 6x = 14
8x = 14 - 6
x = (14 - 6) / 8
x = 1

Taking equation (3)
y = 2 + 2x
Now, substituting the value of x in equation (3), we get,
y= 2 + 2 (1)
y = 2 + 2
y = 4

So, x=1 and y=4

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There you go.
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Answer:

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What types of quadrilaterals have congruent diagonals?
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Rectangle and Square
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