Forbes reports that women trust recommendations from Pinterest more than recommendations from any other social network platform (Forbes website, April 10, 2012). But, does trust in Pinterest differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on Pinterest. Women Men Sample 150 170 Trust Recommendations Made on Pinterest 117 102 a. What is the point estimate of the proportion of women who trust recommendations made on Pinterest (to 2 decimals)?

The point estimate of the proportion of women who trust recommendations made on Pinterest is of 0.78.

Step-by-step explanation:

To find the point estimate of the proportion of women who trust recommendations made on Pinterest, we find the sample proportion.

In this question:

150 women

117 trust recommendations made on Pinterest.

Point estimate:

The point estimate of the proportion of women who trust recommendations made on Pinterest is of 0.78.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°