Answer:
∠ DCF = 39°
Step-by-step explanation:
the secant- secant angle DCF is half the difference of the measures of the intercepted arcs, that is
∠ DCF =
(EG - DF) =
(127 - 49)° =
× 78° = 39°
Answer:

Step-by-step explanation:
<em><u>The </u></em><em><u>above</u></em><em><u> </u></em><em><u>giv</u></em><em><u>en </u></em><em><u>triangle </u></em><em><u>represents </u></em><em><u>the </u></em><em><u>unequal </u></em><em><u>lengths </u></em><em><u>of </u></em><em><u>three </u></em><em><u>sides </u></em><em><u>properties</u></em><em><u> </u></em><em><u>of </u></em><em><u>scalene </u></em><em><u>triangle</u></em>
<h3><em><u>hence,</u></em><em><u> </u></em><em><u>it's </u></em><em><u>a </u></em><em><u>scalene </u></em><em><u>triangle</u></em><em><u>♥</u></em></h3>
<em><u>Hope </u></em><em><u>this </u></em><em><u>helps </u></em><em><u>you </u></em><em><u>out!</u></em><em><u>!</u></em><em><u>!</u></em>
Answer:
a) 0.6915; b) 2.83 years
Step-by-step explanation:
For part a,
The formula for a z score is

Our mean, μ, is 3.25 and our standard deviation, σ, is 0.5.
This gives us
z = (3-3.25)/0.5 = -0.25/0.5 = -0.5
Using a z table, we see that the area under the curve to the left of this is 0.3085. However we want the area to the right; this means we subtract from 1:
1-0.3085 = 0.6915
For part b,
We look in the cells of a z table to find the value closest to 20%, or 0.2000. This is 0.2005, which corresponds with a z score of -0.84:
-0.84 = (X-3.25)/0.5
Multiply both sides by 0.5:
0.5(-0.84) = ((X-3.25)/0.5)(0.5)
-0.42 = X-3.25
Add 3.25 to each side:
-0.42+3.25 = X-3.25+3.25
X = 2.83
The advertised life would be 2.83 years.
Answer:
after school and college football season
Answer:
18.95%
Step-by-step explanation:
In this case what we must do is calculate the probability of eating a jelly treats first and then another jelly treats, being the final probability the multiplication of these events.
We know that there are 20 in total and that initially there are 9 jelly treats, so the first event is the probability:
9/20
And the second event, with one less in each, would be:
8/19
The final probability then:
9/20 * 8/19 = 0.1895
So the probability of this happening is 18.95%