Answer:
0.9544 or 95.44%
Step-by-step explanation:
Given: Mean= 37
Standard deviation= 6
x= 25 and 49.
Now, solving to find the percentage of daily phone calls numbering between 25 and 49.
first calculating the z-score for daily 25 phone calls.
Formula;
z-score=
z-score=
∴ z-score for daily 25 phone call is -2.
Next, calculating the z-score for daily 49 phone calls.
z-score=
z-score=
∴ z-score for daily 49 phone call is 2.
We can observe that there is change in z-score for 25 phone call and 49 phone call.
Lets use the normal distribution table to find the percentage of daily phone calls numbering between 25 and 49.
⇒ Percentage of daily phone calls numbering between 25 and 49=
⇒ Percentage of daily phone calls numbering between 25 and 49=
Using normal distribution table
⇒ Percentage of daily phone calls numbering between 25 and 49=
Hence, 0.9544 or 95.44% is the percentage of daily phone calls numbering between 25 and 49.
Answer: In the resulting equation: " a² - 12a + 32 = 0 " ;
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The "coefficient" of the "a" term is: " - 12" .
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The "constant" is: " 32 " .
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Explanation:
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Let: "a = x² + 4 " .
Given: (x² + 4)² + 32 = 12x² + 48 ;
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Factor: "12x² + 48" into " (x² + 4) " ;
"12x² + 48" = 12 (x² + 4) " ;
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Given: (x² + 4)² + 32 = 12x² + 48 ;
rewrite as; "a² + 32 = 12a " ;
Subtract "12a" from each side of the equation;
"a² + 32 - 12a = 12a - 12a ;
to get:
" a² - 12a + 32 = 0 " .
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The coefficient of the "a" term; that is:
The "coefficient" of " -12a" ; is: "- 12" .
The constant is: "32<span>" .
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So first truck transports x amount 12 times or 12x
second truck transports y amount 14 times or 14y
so difference between first and second truck=12x-14y
(note: the problem did not say that the last load of each truck was full so this might be wrong)
The equation of a circle is given as:
(x-a)^2 + (y- b)^2 = r^2 where (a, b) is the center.
(x-9)^2 = x^2 -18x + 81 - ----(i)
(y+2)^2 =y^2 + 4y +4 ------ (ii)
r^2 = 49 ------ (iii)
Adding equation (i) and (iii)
x^2 + y^2 - 18x + 4y + 85 -----(iv)
Equating equation (iv) and (iii)
<span>x^2 + y^2 - 18x + 4y + 85 = 49
Arrange the equation:
</span> <span>x^2 + y^2 - 18x + 4y + 36 = 0
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I hope this helps
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