Answer:
these shapes are congruent, because they have the same shape and the angles are the same
Step-by-step explanation:
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City C (42 and 66 are the two modes they are the most frequent numbers both appearing 3 times)
Answer:
95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C
Step-by-step explanation:
The confidence interval for a proportion is given as [p +/- margin of error (E)]
p is sample proportion = 870/1,100 = 0.791
n is sample size = 1,100
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (z) at 5% significance level is 1.96.
E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024
Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767
Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815
95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.
Answer:
Equation: 5.5x = 168.5
Solution: 30 shirts
Step-by-step explanation:
First, create the equation where x is the number of shirts.
Since each shirt is $5.50, the cost of the shirts will be 5.50x
Set this equal to 168.50, since that is how much money Kareendeep has.
So, the equation will be 5.5x = 168.5
Now, solve this for x, the number of shirts she can buy:
5.5x = 168.5
Divide each side by 5.5
x = 30.6
Since we can only have a whole number of shirts, she can only buy 30 shirts.
So, the answer is 30 shirts.
