Twenty-two of the players said that they preferred that the games be played on Saturdays. Ivan correctly determined that the margin of error, E, of his survey using a 99% confidence interval (z*score 2.58) is approximately 18%
Ivan surveyed 49 randomly select
The slope of the line connecting two points (<em>a</em>, <em>b</em>) and (<em>c</em>, <em>d</em>) is
(<em>d</em> - <em>b</em>) / (<em>c</em> - <em>a</em>)
i.e. the change in the <em>y</em>-coordinate divided by the change in the <em>x</em>-coordinate. For a function <em>y</em> = <em>f(x)</em>, this slope is the slope of the secant line connecting the two points (<em>a</em>, <em>f(a)</em> ) and (<em>c</em>, <em>f(c)</em> ), and has a value of
(<em>f(c)</em> - <em>f(a)</em> ) / (<em>c</em> - <em>a</em>)
Here, we have
<em>f(x)</em> = <em>x</em> ²
so that
<em>f</em> (1) = 1² = 1
<em>f</em> (1.01) = 1.01² = 1.0201
Then the slope of the secant line is
(1.0201 - 1) / (1.01 - 1) = 0.0201 / 0.01 = 2.01
Given the arithmetic sequence is given by:
an=4-3(n-1)
writing the above into a straight line form we get:
an=4+3-3n
an=-3n+4
this a straight line equation with a negative slope, thus the domain will be:
(-∞,∞)
We just have to solve to get a simplified answer
we have
9y + 5 = 7 + 3y + 2y
9y +5 = 7 + 5y
9y-5y= 7-5
4y=2
so if we solve further we will not get the answer that is given in option
so option d is the write answer
Answer:
1155
Step-by-step explanation:
We need to determine 55% of 2100 now and the procedure explaining it as such
Step 1: In the given case Output Value is 2100.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 2100 = 100%.
Step 4: In the Same way, x = 55%.
Step 5: On dividing the pair of simple equations we got the equation as under
2100 = 100% (1).
x = 55% (2).
(2100%)/(x%) = 100/55
Step 6: Reciprocal of both the sides results in the following equation
x%/2100% = 55/100
Step 7: Simplifying the above obtained equation further will tell what is 55% of 2100
x = 1155%
Therefore, 55% of 2100 is 1155
