to solve for the dimensions (x+7)(x+2)=66,
we can first use the foiling method to simplify the left side.
x^2 + 2x + 7x + 14 = 66
x^2 + 9x + 14 = 66
now, subtract 66 from both sides.
x^2 + 9x - 52 = 0
now, split this into two parentheses.
(x + 13)(x - 4)
since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.
To find perimeter, add all four sides.
6 x 3 is 18. y is equal to 4. 18 minus 4 is 14. The answer is 14.
Answer:
we will fail to reject the null hypothesis and conclude that there's insufficient evidence to support the claim that the percentage is actually more than the reported percentage
Step-by-step explanation:
We are given;
Population proportion; p = 30% = 0.3
Sample proportion; p^ = 37% = 0.37
Sample size; n = 100
Let's define the hypotheses;
Null hypothesis; H0: p ≤ 0.3
Alternative hypothesis; Ha: p > 0.3
Formula for the test statistic is;
z = (p^ - p)/√(p(1 - p)/n)
Thus;
z = (0.37 - 0.3)/√(0.3(1 - 0.3)/100)
z = 0.07/0.04582575695
z = 1.53
From z-distribution table, at z=1.53 we have;
p-value = 1 - 0.9370 = 0.063
This p-value is greater than the significance level of 0.02 and thus we will fail to reject the null hypothesis and conclude that there's insufficient evidence to support the claim that the percentage is actually more than the reported percentage