1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
k0ka [10]
2 years ago
8

Find the number of letters from the word MAXIMUM where two consonants cannot occur. (Permutation)​

Mathematics
1 answer:
Hunter-Best [27]2 years ago
5 0

Answer:

4!

Step-by-step explanation:

In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.

So, we have to put vowels at each even position; only then the condition will be satisfied.

We can put this in 3! ways (permutations of A, I & U).  

For odd positions we can put 3-M's & a X. Total ways is 4!/3!   (as repetitions of M).

Hence, the answer is 4!/3! x 3! = 24 ways.  

24=4!.

You might be interested in
There were 242 Cans of Soda. After 56 cans of soda Were sold.a Clerk Moved the remaining cans to A display case.the display Case
tino4ka555 [31]
The Awnser would be 20.6 rounded up to 21. The final Awnser is 21
4 0
3 years ago
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
yKpoI14uk [10]

Answer:

a) 0.5588

b) 0.9984

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 24

Standard Deviation, σ = 6.4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}        

a) P(score between 20 and 30)

P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{6.4} \leq z \leq \displaystyle\frac{30-24}{6.4}) = P(-0.62 \leq z \leq 0.94)\\\\= P(z \leq 0.94) - P(z < -0.62)\\= 0.8264 - 0.2676 = 0.5588 = 55.88\%

P(20 \leq x \leq 30) = 55.88\%

b) Sampling distribution

Sample size, n = 22

The sample will follow a normal distribution with mean 24 and standard deviation,

s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{6.4}{\sqrt{22}} =1.36

c) P(mean score of sample is between 20 and 30)

P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{1.36} \leq z \leq \displaystyle\frac{30-24}{1.36}) = P(-2.94 \leq z \leq 4.41)\\\\= P(z \leq 4.41) - P(z < -2.94)\\= 1 - 0.0016 = 0.9984 = 99.84\%

P(20 \leq x \leq 30) =99.84\%

5 0
3 years ago
50 points + brainliest
erica [24]

Answer:

8. B.

9. B.

10. B.

11. No answer choices.

Step-by-step explanation:

Yes, they are all actually B. Hope this helps!

7 0
2 years ago
Read 2 more answers
In​ 2012, a competition sponsored 301 sporting events. This was 256 more events than there were in an 1896 competition. How many
Vika [28.1K]

There were 54 sporting events in the year 1896 hosted by the competition

What is the function to determine the number of events in 1896?

The fact that events which are 301 sporting events in 2012 are 256 more than that of the events in 1896, means that the number of events in 1896 is 256 less than that of 2012

number of events in 1896=number of events in 2012-256

number of events in 2012=310

number of events in 1896=310-256

number of events in 1896=54 events

Find out more about more about number operations on:brainly.com/question/4344214

#SPJ1

4 0
1 year ago
Solve the system..???​
11Alexandr11 [23.1K]

Answer:

x = 1

y = 2

z = - 3

Step-by-step explanation:

z=-2+3x - 2y Rearrange: x + 4y3z = 18 2xy-3z9 Substitute into one of the equations:

[x+4y-3(-2+ 3x – 2y) = 18

2x-y-3(-2+3x-2y) = 9

Apply Multiplicative Distribution Law: x + 4y + 6-9x+6y=18

[2x-y+6-9x+6y=9 Rearrange unknown terms to the left side of the equation: x + 4y - 9x+6y= 18-6 2xy +6 9x+6y=9

Calculate the sum or difference:

x + 4y - 9x+6y= 12

2xy + 6-9x+6y=9

Combine like terms: -8x+10y = 12 -7x+5y+6=9 Reduce the greatest common factor on both sides of the equation: - 4x + 5y = 6 -7x + 5y + 6 = 9 Rearrange unknown terms to the left side of the equation: -4x + 5y = 6 -7x + 5y = 9-6

Subtract the two equations: -4x+5y-(-7x

+5y)= 6-(9-6)

Remove parentheses: - 4x + 5y + 7x - 5y = 6

−9+6

Cancel one variable: - 4x + 7x = 6 - 9 + 6 Combine like terms: 3x = 6 - 9 + 6

Calculate the sum or difference: 3x = 3 Divide both sides of the equation by the coef

ficient of variable: x = 3/3 Calculate the product or quotient: x = 1 Substitute into one of the equations: -4+5y = 6

Rearrange unknown terms to the left side of the equation: 5y = 6 + 4 Calculate the sum or difference: 5y = 10 Divide both sides of the equation by the coef ficient of variable: y = 10/5 Calculate the product or quotient: y = 2

The solution of the system is:

x = 1

y = 2

Substitute into one of the equations:

z = - 2 +3-2x2

Calculate the product or quotient:

z = - 2 + 3 - 4

Calculate the sum or difference:

z = 1 - 4

Calculate the sum or difference:

z = - 3 x = 1 y = 2 -3

The solution of the system is:

x = 1

y = 2

z = - 3

6 0
3 years ago
Read 2 more answers
Other questions:
  • Mrs Smith plants 5000 seeds per year. If 1/4 of them die and 1/5 lost in transport. How many plants would be left to sell
    9·1 answer
  • Jeremy moved several to earn money for camp. After he payed 17$ for gas, he had 75$ leftover to pay towards camp. Write and solv
    8·1 answer
  • I need to know how to do it in Distributive Property.
    10·1 answer
  • Plz help me I don’t get this
    12·1 answer
  • Use the distributive property to rewrite each expression. -6(r-8)
    9·2 answers
  • Help your boy out I’m not smart;)
    11·2 answers
  • What is the answer for this question?
    15·1 answer
  • Find the gradient of the line segment between the points (5,-2) and (3,-8).
    9·1 answer
  • Complete the solution set for this Inequality Use one of the symbols and one of the numbers from the choice below
    6·1 answer
  • Y = 1/2x + 4
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!