Interesting ? Your schedule seems very filling, I guess. What are we supposed to do with it?
Answer:
a) margin of error ME = 5.77
b) Margin of error becomes smaller
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
x+/-ME
Where margin of error ME = zr/√n
a)
Given that;
Mean = x
Standard deviation r = 25
Number of samples n = 72
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
ME = 1.96(25/√72)
ME = 1.96(2.946278254943)
ME = 5.774705379690
ME = 5.77
b)
For n = 89
ME = 1.96(25/√89)
ME = 1.96(2.649994700015)
ME = 5.193989612031
ME = 5.19
5.19 is smaller than 5.77 in a) above. So,
Margin of error becomes smaller
Answer:
Jumper, y = 172
Shirt, x = - 105
Step-by-step explanation:
Let :
Shirt = x
Jumper = y
5x + 4y = 163 - - (1)
3x + 2y = 29 - - - (2)
Multiply (1) by 3 and (2) by 5
15x + 12y = 489 - - - (3)
15x + 10y = 145 - - - (4)
Subtract :
12y - 10y = 489 - 145
2y = 344
y = 344 / 2
y = 172
Put y = 172 in (3)
15x + 12(172) = 489
15x + 2064 = 489
15x = 489 - 2064
15x = - 1575
x = - 105
The values ;
Jumper, y = 172
Shirt, x = - 105
We weren't supposed to obtain a negative value, kindly check if the parameters given are correct.
Answer: The number is: "2 " .
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Explanation:
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Write the expression; which is an equation, as follows:
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" 4x <span>− 12 = 2(-x) " ; in which "x" represents "the number for which we shall solve" .
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Note:
If the "number" = "x" ; the "opposite of the number" = " -x " ;
</span>___________________________________________
Rewrite as: " 4x <span>− 12 = -2x " ;
</span>_____________________________________________
→ Add "12" ; & add "2x" ; to EACH SIDE of the equation:
4x − 12 + 12 + 2x = -2x + 12 + 2x ;
to get: 6x = 12 ;
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Now, divide each side of the equation by "6" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
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6x / 6 = 12 / 6 ;
to get: x = 2 .
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Answer: The number is: "2 " .
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Let us check our answer, by plugging in "2" for "x" in our original equation:
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→ " 4x − 12 = 2(-x) " ;
Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;
→ " 4(2) − 12 = ? 2(-2) ??
→ 8 − 12 = ? -4 ? ;
→ -4 = ? -4 ?? Yes!
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C: 12/35a^3
2 multiplied by 6 is 12.
5 multiplied by 7 is 35.
a^1+a^2=a^3.
