Answer with Explanation:
Total number of members in School Club = 80 members
Number of member randomly Selected,that is sample size used (P) = 50 members
Number of members who are planning to vote for Talia = 38 members
Z Score for 95% confidence interval =1.96
it is given that Margin of Error ,E,of the poll using a 95% confidence interval=12%
Standard Deviation=4.3 (approx)
→95% confidence level for students who are planning to vote for Talia as president of the club lie between → 38 + 4.3 = 42.3 to 38 -4.3=33.7.
→So, members which will vote for Talia as president of the club lies between minimum of 33 members and maximum of 42 members.
The first package is 4 oz (1/4lb) at 79cents = 19.75 cents/oz
Second Package is 8 oz at 1.59 = 19.875 cents / oz
So the first package is cheaper per ounce.
Answer:
22/7
Step-by-step explanation:
Diameter is 2m
we know,
radius= Diameter/2
r = d/2
r = 2/2
r = 1
Now,
area of circle= πr^2
22/7 * 1^2
22/7 ....... answer
Answer: 503
Step-by-step explanation:
Penn: n = 2013
a₁ = x
r = rp
Teller n = 2013
a₁ = -x
r = rt
Sum of terms arithmetic sequence: S = (a₁ + aₙ)n/2
Spenn = (x + a₂₀₁₃).2013/2
Steller = (-x + a₂₀₁₃).2013/2
Spenn = Steller
(x + ap₂₀₁₃).2013/2 = (-x + at₂₀₁₃).2013/2
2x = at₂₀₁₃ - ap₂₀₁₃
General term of arithmetic sequence: aₙ = a₁ + (n-1)r
ap₂₀₁₃ = x + (2013-1)rp = x + 2012rp
at₂₀₁₃ = -x + (2013-1)rt = -x + 2012rt
2x = at₂₀₁₃ - ap₂₀₁₃
2x = -x + 2012rt - (x + 2012rp)
2x = -x + 2012rt - x - 2012rp
2x = -2x + 2012rt - 2012rp
4x = 2012rt - 2012rp
4x = 2012(rt-rp)
x = 2012(rt-rp)/4
x = 503(rt-rp)
As rt - rp cannot be 0, and we know that x is positive, the smallest number for (rt-rp) is 1, so the smallest number for x is 503.
Step-by-step explanation:
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