Answer:
1/3 c flour
Step-by-step explanation:
divide 2/3 in half because you're going from 2 dozen to 1 dozen
2/3 ÷ 2 equals 2/3 x 1/2 which equals 1/3
Answer:
5.54 miles
Step-by-step explanation:
1. Assume she runs up to a point that is x miles to the east of the coral reef:
distance running =
distance swimming =
2. Times:
time= distance / speed
time running =
time swimming =
3. Total time
time running + time swimming:
4. Minimize time
The minimum time is when the derivative of the function of time is zero.
Find the derivative of T(x), using rule of the sum, the derivative of the sum is the sum of the derivatives, and the chain rule:
Solve for x:
5. Distance the visitor should run to minimize the time
Hence, the visitor should run 5.54 miles.
please mark me brainliest!
Answer: Lets divide by 8. My god, those coefficients are large.
x^3 - 8x^2 + 20x - 16 = 0
Possible integral roots are: +1, -1, +2, -2, +4, -4, +8, -8
If x = 2, f(x) = 8 - 32 + 40 - 16 = 0
Hence, x-2 is a factor.
Use synthetic division to get: x^2 - 6x + 8 = (x-4)(x-2).
Therefore, there are two integral roots: +2 and +4.
Step-by-step explanation:
The -3 at the end of the equation would be the location of the lower point on the Y axis
and since the x-4 part is in between the vertical lines, that means the absolute value, which is always positive so the graph would make a V shape
so the correct graph would be D
Answer:
0.731 < p < 0.775
Step-by-step explanation:
We have a sample proportion of 753/1000 = 0.753
We need to construct a 90% confidence interval for the population proportion. Since n > 30, we use the corresponding z-value of 1.645.
See attached photo for the formulas and construction of the confidence interval.