You've decided you want a plant for your room at the gardening store there are four different kinds of plants to look Fern Cactus and thickness and four different kinds of pots to hold the plants Clay Pot plastic pot metal pipe and wood pot if you randomly pick the plant in the pot what is the probability that you won't get a clay pot or a cactus

9/16

Step-by-step explanation:

Since it is only 2 sets of 4 coices it would be super easy to write them all out.

Plant 1 Clay

Plant 1 Plastic

Plant 1 Metal

Plant 1 Wood

Plant 2 Clay

Plant 2 Plastic

Plant 2 Metal

Plant 2 Wood

Plant 3 Clay

Plant 3 Plastic

Plant 3 Metal

Plant 3 Wood

Cactus Clay

Cactus Plastic

Cactus Metal

Cactus Wood

16 choics total, take out all with a cactus or clay pot

Plant 1 Plastic

Plant 1 Metal

Plant 1 Wood

Plant 2 Plastic

Plant 2 Metal

Plant 2 Wood

Plant 3 Plastic

Plant 3 Metal

Plant 3 Wood

9 choices left, so probability is 9/16

to do it for any number find the total number of choices again, so 16 then you subtract the number of each category you are excluding.  so there were 4 cacti and 4 clay, so subtract 8, to get 8.  Then you add back any that had both clay and cacti, which there was one, whn you had  a cactus in a clay pot, so add back 1.  This gets us 9 again.

This is called the inclusion exclusion principle.  Might want to look into this specifically.  

the answer is 45 i just did it on oddesy ware

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq