You spin the spinner and flip a coin. Find the probability of the compound event. The probability of spinning a prime number and flipping tails is

1/6

Step-by-step explanation:

We first begin by identifying all sample spaces

Sample space of spinner (1,2,3,4,5,6) = 6

Sample space of a coin

(head, tail ) = 2

1.The probability of spinning a prime number. All prime numbers in the sample space is 2,3,5

Pr(prime) = 3/6= 1/3

2. The probability of flipping tails is

Pr(tail) = 1/2

Hence for the compound event

The probability is = (1/3)*(1/2)

= 1/6

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: