You have 10 businesses that you are researching. 4 businesses only have an online shop option, 2 businesses are strictly store front and 4 businesses offer both an online shop and store front option. given events a and b, are the two events mutually exclusive? explain your answer. event a: selecting a store with only a website. event b: selecting a store with a store front. a)yes, the events are mutually exclusive because they have no outcomes in common. b)yes, the events are mutually exclusive because p(a) is not equal to p(b).c)no, the events are not mutually exclusive because they share the common outcome, of having both a store front and a website. d)no, the events are not mutually exclusive because they both require only selecting one store.

C

Step-by-step explanation:

If A and B are independent P(A∩ B)= P(A) P(B).

Now P(A∩ B) = 4/10

            =2/5

P(A) P(B) = 4/10  ×2/10 = 8/100 = 2/25

Therefore A and B are not independent

Since they are not equal they are not mutually exclusive

Diagram attached for further understanding

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -