Answer:
The maximum value of the confidence interval for this set of survey results is 51.73%.
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound.
These bounds depend on the sample proportion and on the margin of error.
The lower bound is the sample proportion subtracted by the margin of error.
The upper bound is the margin of error added to the sample proportion.
In this question:
Sample proportion: 46.1%
Margin of error: 5.63%.
Maximum value is the upper bound:
46.1+5.63 = 51.73
The maximum value of the confidence interval for this set of survey results is 51.73%.
Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm. If all the scoops are evenly distributed, they would all be 3.8 cm tall.
<h3>How to find the mean value of a data set?</h3>
The mean value of the data set is the ratio of the sum of the data set's values to the number of values it has.
If the data set consists of values
x_1, x_2, ..., x_n
, then we get the mean value as:
Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm.
mean=
Therefore, If all the scoops are evenly distributed, they would all be 3.8 cm tall.
Learn more about mean;
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Answer:
x = -5/2
Step-by-step explanation:
4x+2 = -8
We are solving for x
The first step in isolating x is to subtract 2 from each side
4x+2-2 = -8-2
4x = -10
Divide each side by 4
4x/4 = -10/4
x = -10/4
Simplify the fraction
x = -5/2
The polynomial is (mx^3+3)(2x²+5x+2)-(8x^5 +20x^4)
if it is reduced to 8x^3+6x²+15x+6, so we can find the value of m
(mx^3+3)(2x²+5x+2)-(8x^5+20x^4) = <span>8x^3+6x²+15x+6
</span>2mx^5+5mx^4+2mx^3+6x²+15x+6-8x^5-20x^4=<span>8x^3+6x²+15x+6
</span>2mx^5+5mx^4+2mx^3=8x^3+6x²+15x+6-6x²-15x-6+ <span>8x^5+20x^4
</span>= 8x^5+20x^4+<span>8x^3= 4(2x^5+5x^4+2x^3)
finally
</span>m(2x^5+5x^4+2x^3)=<span>4(2x^5+5x^4+2x^3), and after simplification
</span>
C: m=4
<span>4. When the expression is factored x²-3x-18 completely,
</span>
one of its factor is x-6
<span>x²-3x-18=0
</span>D= 9-4(-18)= 81, sqrtD=9 x=3-9/2= -6/2= -3, and x=3+9 / 2= 6
so <span>x²-3x-18= (x-6)(x+6)
</span>
