Find the coordinates of p so that p partitions the segment ab in the ration 3: 4 if a(-9,9) and b(5,-2)

So contrary to what you may believe, 3:4 is not 3/4 here, but rather "3 equal parts to 4 equal parts", which is a total of 7 equal parts. In short, the question is asking you to put point P 3/7 of the way from A to B (or 4/7 of the way from B to A, but we will do the prior.)

So firstly, how far apart is -9 from 5 (the x-coordinates)? That would be 14 units. Multiply 3/7 by 14:

Next, how far apart is 9 from -2 (the y-coordinates)? That would be 11 units. Multiply 3/7 by 11.

Now, since from -9 to 5 you are increasing, add 6 to -9:

-3 is P's x-coordinate.

Next, since from 9 to -2 you are decreasing, subtract 33/7 from 9.

30/7, or 4 2/7 is P's y-coordinate.

Putting it together, P's coordinate is (-3, 30/7).

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;