Answer:2
Step-by-step explanation:
Answer:
15.15% probability that both months (different) have less than 31 days.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Also, the order of the months is not important. For example, picking July and August is the same as picking August and July. So the combinations formula is used to solve this problem
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

There are 12 months, of which February, April, June, September and November, that is, 5 of them, have less than 31 months.
Desired outcomes:
Picking 2 months from a set of 5(those with less than 31 days). So

Total outcomes:
Picking 2 months from a set of 12(all the months). So

Probability:

15.15% probability that both months (different) have less than 31 days.
if your asking for the equation, it's t + 7 < 3
Answer and Explanation:
Using trig ratios, we can express the given values of sin u and tan v as shown below
![\begin{gathered} \sin u=\frac{opposite\text{ of angle u}}{\text{hypotenuse}}=\frac{2}{5} \\ \tan v=\frac{opposite\text{ of angle v}}{\text{hypotenuse}}=\sqrt[]{21} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csin%20u%3D%5Cfrac%7Bopposite%5Ctext%7B%20of%20angle%20u%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%3D%5Cfrac%7B2%7D%7B5%7D%20%5C%5C%20%5Ctan%20v%3D%5Cfrac%7Bopposite%5Ctext%7B%20of%20angle%20v%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%3D%5Csqrt%5B%5D%7B21%7D%20%5Cend%7Bgathered%7D)
So we can go ahead and label the sides of the triangle as shown below;
We can find the value of u as shown below;

We can find v as shown below;
Answer:
x = 2
Step-by-step explanation:
The solution set can be found by dividing the inequality by the coefficient of x.
6x > 7
x > 7/6
The smallest integer greater than 7/6 is 12/6 = 2.
The smallest integer solution is x = 2.