Angelica is working with function machines. She has the two machines at shown at the right. She wants to put them in order so th

Response:

Step-by-step explanation:

Assuming there are 100 sour candies, thus-  

since 26% of the candies are grape, it follows that 26% of 100 candies means we have 26 grape candies

Consequently, the remaining candies that are not grape amount to 100-26 = 74

Applying the multiplication principle:

P(A ∩ B) = P(A)/ P(B|A)  

 Initially, there are 26 grape candies, therefore the probability of selecting the first grape candy =  26C1 = 26

 After choosing the first one, we put the selected grape candy back, so there are still 100 candies total P(B|A) = 100C3 = 100 x 99 x 98 x 97!/3! X 97!

= 50 x 33 x 98

Thus, the probability becomes 1/ 50 x 33 x 98 x 26

Response:

5.8%

Detailed reasoning:

For the business,

retail space rental = $2400

wages = $1800

utilities = $480

Total operating cost = $4680

However,

retail space rent decreased by 5%, which results in;

5% of $2400 = 0.05 x $2400 = $125

The new rental amount for retail space = $2400 - $125

                                             = $2275

wages were lowered by 6%, calculated as;

6% of $1800 = 0.06 x $1800 = $108

The revised wages = $1800 - $108

                           = $1620

Utilities experienced a 7% increase, calculated as;

7% of $480 = 0.07 x $480 = $33.6

The adjusted utilities cost = $480 + $33.6

                                               = $513.6

New total operating costs = $2275 + $1620 + $513.6

                             = $4408.6

The percentage change in monthly expenses = x 100%

x 100%                                    = 5.8%

Hello from MrBillDoesMath!

Answer:

-52. None of the alternatives presented is accurate

Discussion:

Based on standard mathematical operations, none of the given solutions is correct. The calculation results in

2*3 + 4- 62 =                => * before + and -

(2*3) + 4 - 62=             => 2*3 = 6

6 + 4 -62 =                   => 6 + 4 = 10

10 - 62 =

-52

Thank you,

MrB

Answer: 56/81

Step-by-step explanation:

refer to the attached document