Answer: The friend won the round.
Step-by-step explanation:
We want to find the lowest score.
The lowest score means the smallest value.
With intergers, as the number gets farther away from zero to the left, the smaller the value is. The middle number is zero on a number line. The numbers to the left of zero are negative. The number to the write of zero are positive.
As you move to the left on the number line, the numbers get smaller. As you move to the right on a number line, the values get bigger
Since -4 is farther away from zero to the left on a number line than -3, -4 is smaller.
Hence -4 is smaller than -3. -4 is one more to the left than -3 so -4 is smaller than -3.
Hence the friend won the round.
2n + 8 ≤ 25 |subtract 8 from both sides
2n ≤ 17 |divide both sides by 2
<u>n ≤ 8.5</u>
Answer: (80% , 85%)
Step-by-step explanation:
We know that, confidence interval for population proportion is given by :-
(p-E , p+E)
, where p = sample proportion , E = Margin of error.
Given : Proportion of elementary school teachers who are female = 82%.
The article also states the maximum error of their estimate = 3%.
Then, the 90% confidence interval for the proportion of elementary school teachers who are female will be :
(82%-2% , 82%+3%)
= (80% , 85%)
Hence, the resulting 90% confidence interval for the proportion of elementary school teachers who are female = (80% , 85%)
Remember that the radicand (the area under the root sign) must be positive or zero for a radical with an even index (like the square root or fourth root, for example). This is because two numbers squared or to the fourth power, etc. cannot be negative, so there are no real solutions when the radicand is negative. We must restrict the domain of the square-root function.
If the domain has already been restricted to
, we can work backwards to add 11 to both sides. We see that
must be under the radicand, so the answer is
A.
