1
-1------
2
Basicly negative one whole and one and a half
Answer:
15
Step-by-step explanation:
Given that the profit equation from selling x necklaces is
P = −x2 + 35x.
To make a profit of $300, the profit P = 300 then
300 = -x2 + 35x
x2 - 35x + 300 = 0
solve by factorization
x2 - 15x - 20x + 300 = 0
x(x - 15) - 20(x - 15) = 0
(x - 15)(x - 20) = 0
x - 15 = 0 or x - 20 = 0
x = 15 or 20
Since 20 is higher, the least number of her necklaces she must sell to make a profit of $300.00 is 15
Answer:
∠A = 166°
Step-by-step explanation:
We can imagine the parallel line to the left as a shifted version of the one on the right. As we move it further left along the line the in middle (called a <em>transversal</em>), ∠B will slide closer and closer to ∠A. Eventually, the two will totally coincide, showing that ∠B ≅ ∠A. We call ∠A and ∠B <em>corresponding angles</em>, because they can be made to perfectly overlap in that way.
Since corresponding angles are congruent, their measures must be equal, so in this example, we can say that
, and since and ,
To solve for <em>x</em>, we can subtract 3x and 40° from both sides:
and divide both sides by 4:
We can now replace <em>x </em>with 18° in our expression for ∠A to find
Answer:
The 99% confidence interval for the proportion of all American adults who blame Barack Obama a great deal or a moderate amount for U.S. economic problems is (0.4894, 0.5706)..
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
99% confidence level
So , z is the value of Z that has a pvalue of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the proportion of all American adults who blame Barack Obama a great deal or a moderate amount for U.S. economic problems is (0.4894, 0.5706)..
Step-by-step explanation:
We are considering of water.
We know that each mole of a substance weights equal to the substances' molar weight.
The molar weight of water ( ) is . This value is a standard and hence can be found from charts.
∴ Number of moles of water =