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Montano1993 [528]
3 years ago
8

student id numbers at a certain university are made up of two letters, followed by four 1-digit numbers, and then another letter

(example:em3289c). how many students id numbers are possible if the numbers cannot be replaced?
Mathematics
1 answer:
Bingel [31]3 years ago
5 0

Answer:

10078

Step-by-step explanation:

26+26+26+10000= 10078

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An aged merchant of Baghdad was much respected by all who knew him. He had three sons, and it was a rule of his life to treat th
IRINA_888 [86]

Answer:

Son number 1 has 3 full, 5 half, and 3 empty barrels.

Son number 2 has 4 full, 3 half and 4 empty barrels.

Son number 3 has 3 full, 5 half, and 3 empty barrels.

Step-by-step explanation:

Let's first calculate the amount of honey we have (in barrel unit):

10*1 + 13*0.5 + 10*0 = 16.5 honey units

As the father wants to split it equally between the 3 sons, each of them should get 16.5 / 3 = 5.5 honey units

And since we have 33 barrels in total which must be split equally between the sons, each should receive 33 / 3 = 11 barrels.

Since the sons are identical, let's start by splitting each of the barrels equally. We can rearrange later to match all criteria:

3 full, 4 half, and 3 empty for each of the sons, makes it 10 barrels and 3*1 + 4*0.5 + 3*0 = 5 honey unit

For 3 sons there would be 1 full, 1 half and 1 empty barrels left

We can give 1 half barrel to the 1st son, now he has 11 barrels and 5.5 units of honey. He's good to go. we have 1 full, 1 and 1 empty barrels left.

Give the full barrel to the 2nd son, now he has 11 barrels, but 6 unit of honey. So we trade the empty barrel for a half barrel of his. So he would have 4 full, 3 half and 4 empty barrels. That accounts for 11 barrels, 4*1 + 3*0.5 + 3*0 = 5.5 barrels.

We are left with 1 half barrel, that can be given to the 3rd son, now he would have 3 full, 5 half, and 3 empty barrels. That accounts for 11 barrels and 3*1 + 5*0.5 + 3*0 = 5.5 unit of honey.

7 0
3 years ago
If P(event A) = 0.25, what is P(not event A)?
xz_007 [3.2K]

Answer:

0.75

Step-by-step explanation:

The probability of P(not event a) is equal to 1-p(event A)

3 0
3 years ago
Is the expression 5(3m+2p)-4m equivalent to the expression 13p+11m-3p?<br>Explain your answer.
Damm [24]
First I'll simplify the first one by distributing
11m + 10p
And the second
10p + 11m
Yep they're equal
5 0
3 years ago
Read 2 more answers
A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t)be the number of pigeons where t is measured in we
Pavel [41]

Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:

\frac{dP}{dt} = 1.5P

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the initial population and the population one week later, the rate of growth is given by:

k = 9/6 = 1.5.

The standard differential equation for population growth is:

\frac{dP}{dt} = kP

Hence:

\frac{dP}{dt} = 1.5P

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
2 years ago
Jason is considering two different jobs that he has been offered and he likes the atmosphere and
aniked [119]

The amount of money that Jason will receive in one year after all deductions have been taken for each company is $30,780.5 and $32562.

<h3>What is the final amount?</h3>

With the first job, he would be an apartment property manager for AMLI Company.

This job is offering Jason an hourly rate of $19. 00 an hour plus a weekly bonus of $40 for each new tenant he sets a one-year lease-up with.

The company expects Jason to work all 52 weeks of the year and 40 hours per week.

He was told he could expect to set up an average of 5 lease agreements for each week that he works.

The amount after one year will be given by an equation

Let y be the amount, x be the number of hours in a week and z be the number of the week.

y = 19x + 40z

The total number of hours in a year will be

x = 2080

Then

y = 19 × 2080 + 40 × 52

y = $ 41,600

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 41,600 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 32,160.5

The amount after the insurance will be

Amount = 32160.5 - 115 × 12

Amount = $ 30780.5

With the second job, he would work as a water treatment facility manager in Gwinnett County. He would be paid an annual salary of $46,000 a year, there are no bonuses and he gets a week off.

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 46,000 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 35,562

The amount after the insurance will be

Let the number of the worker be 10. Then

Amount = 35,562 - 10 × 12 × 25

Amount = 35562 - 3000

Amount = $32562

More about the final amount link is given below.

brainly.com/question/1980454

#SPJ1

5 0
2 years ago
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