In recent years the state of California issued license plates using a combination of one letter of the alphabet followed by four digits, followed by another three letters of the alphabet. How many different license plates can be issued using this configuration (without repetition)

1,808,352,000 different license plates can be issued using this configuration

Step-by-step explanation:

The order is important. For example, if the letters are EM, it is already a different plate than if the letters were ME. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

Four letters

In the alphabet, there are 26 letters. In the place, there are 4. So permutations of 4 from a set of 26.

Four digits

There are 10 digits. In the plate, there are four. So permutations of 4 from a set of 10

Total

Multiplying these values

358800*5040 = 1,808,352,000

1,808,352,000 different license plates can be issued using this configuration

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

step-by-step explanation: