Answer:
x=7/30
Step-by-step explanation:
3/10-1/15
Answer:
(B) 0.057
Step-by-step explanation:
The 95% confidence interval is (0.028, 0.086). The formula for the confidence interval is μ ± e where μ is the mean and e is the margin of error.
Therefore the confidence interval is (μ - e , μ + e).
That is μ - e = 0.028 and μ + e = 0.086
To get the point estimate which is the mean, we sum the two proportions and divide it by two.
Therefore point estimate (μ) = (0.028 + 0.086) / 2 = 0.057
The vertex is at (4, -49) and the axis of symmetry is at x= 4.
To find the vertex of this equation, use this method:

a=2
b=-16
This will help get your x value and the axis of symmetry. To find the y value of the vertex, insert the x value, 4 to get your y value, -49.
<u>Part A
</u><u />To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case,

and

equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about
3 gallons.
<u>Part B
</u><u /><u />To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.
Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.

Now, we can simply add our numerators.

We know that he needs

gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

Using that logic, we can see that the painter needs exactly
gallons of paint.
I’m pretty sure the answer is 16, I’m very sorry if this is incorrect.