The following are examples of different types of variables. which are continuous variables?
check all that apply.
a. temperature of a hot pizza.
b. telephone number.
c. number of votes for a candidate
d. speed of a race car
e. weight of an elephant

Step-by-step explanation:

A discrete variable is a variable whose value is obtained by counting, i.e. we can find a one to one correspondence with the set of natural numbers

But a continuous variable is a variable whose value is obtained by measuring infinitely continuous values example milk in a container. ... A discrete random variable X has a countable number of possible values

Hene we find that

a) Tempeature of  a hot pizza -- continuous(since between any two different temperatures there will be infinitely more temperatures)

B.  Telephone number. -- Discrete since countable

C. Number of votes for a candidate --Discrete since countable

D. Speed of a race car   -- Continuous (As speed can take decimals, etc.)

E. Weight of an elephant--(continuous)

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

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x