Answer: Our required proportion of the forecasts are correct is 89%.
Step-by-step explanation:
Since we have given that
Percentage of rainy days she correctly predicts that it will rain = 80%
Percentage of non rainy days, she correctly predicts that it will not rain = 90%
Percentage of rainy days = 10%
Percentage of non rainy days = 90%
So, Probability of forecasts are correct is given by
P(rainy day).P(correctly predicted) + P(non rainy day) .P(correctly predicted)
Hence, our required proportion of the forecasts are correct is 89%.
Answer:
Step-by-step explanation:
The answer is option D
Answer:
Yes, they are equal in the values (in radians):
π/4, 5π/4
If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included
Step-by-step explanation:
Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).
The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.
If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.
Answer:
y=17
and 4y = 68
Step-by-step explanation:
4y +112 = 180 ( b/c it's linear pair)
4y =180-112 ( subtract 112 on both side)
4y= 68
y = 68/4 ( divide 4 on both side)
y= 17