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Ierofanga [76]
4 years ago
8

A state makes license plates with five letters followed by one number with no repetitions of the letters permitted. How many dif

ferent possibilities are there
Mathematics
1 answer:
vladimir1956 [14]4 years ago
6 0

Answer:

78936000 possible selections

Step-by-step explanation:

Given

Letters = 5

Digits = 1

Required

Possible number of selection.

Since the letters can't be repeated and there are 26 alphabets.

The first letter can be any of 26

The second = 25

The third = 24

The fourth = 23

The fifth = 22

The digit can be any of 0 - 9 (10 digits).

So.

The possible number of selection is.

Number = 26 * 25 * 24 * 23 * 22 * 10

Number = 78936000

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Help please ASAP I really need this
iragen [17]

Answer: The probability that the sum is 11 given that the first cube shows a 6.

Step-by-step explanation:

By the definition of conditional probability,

If we have two probabilities A and B where A and B are dependent variable,

If we have to find the probability of occurring the event A when B is given ,

Then we find P(A/B).

Here A is the event that there is 6 in first die when we rolled two dice,

And, B is the event that the sum of the numbers shown in both die is 11,

Hence, P(A/B) shows, The probability that the sum is 11 given that the first cube shows a 6.

3 0
3 years ago
How much would 300 invested at 9 interest compounded continuously be worth after 3years
defon

Answer: 392.99


Step-by-step explanation: Starting Principal: 300

Interest Rate: 9

   

Years: 3

Then solve


8 0
3 years ago
Consider a set of 7500 scores on a national test whose score is known to be distributed normally with a mean of 510 and a standa
german
\mathbb P(X>600)=\mathbb P\left(\dfrac{X-510}{85}>\dfrac{600-510}{85}\right)=\mathbb P(Z>1.059)\approx0.145

So approximately 14.5% of the scores are higher than 600. This means in a sample of 7500, one could expect to see 0.145\times7500\approx10.86 scores above 600.
5 0
3 years ago
 The ratio of the number of cars to the number of motorcycles in a parking lot is 10:3. The ratio of the number of motorcycles t
serg [7]
I'll do this step-by-step. Note, ratios are basically division signs.

The ratio of cars to motorcycles in a parking lot is 10:3, which means there are 10 cars for every 3 motorcycles.

The ratio of motorcycles to vans is 2:3, there are 2 motorcycles for every 3 vans.

There are 30 vans, so there are 20 motorcycles, since 20 motorcycles:30 vans is equal to 2 motorcycles: 3 vans in fractions. (20 / 30 = 2 / 3)

So, the ratio of cars represented by x to the number of motorcycles, 20 can be written as x / 20 = 10 / 3. 10 / 3 is 3.333, meaning 3.333 cars per 1 motorcycle, so multiply 20 by 3.333 to get x, which is 66. There are 66 cars and 30 vans, so there are 33 more cars than vans in the parking lot. 66/20 = 10/3, both have a ratio of 3.33 when divided.

If you don't want the explanation, there are 33 more cars than vans in the parking lot.
8 0
3 years ago
Read 2 more answers
Bud is 17 years old. His friend Lou is 2/3 of 2 years less than Bud's age. How old is Lou?
Alexeev081 [22]

Answer:

15 and a half

Step-by-step explanation:

Bud=17

17-(2/3 x 2)=?        2/3=0.67%, 0.67% of 2=1.34

17- 1.34= 15.66

5 0
3 years ago
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