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Vilka [71]
3 years ago
6

How many distinguishable permutations are there for the word SCIENCE?

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
7 0

Answer:

Step-by-step explanation:

= 7*6*5*4*3*2*1 = 5040.

Step-by-step explanation:

Step-by-step explanation:

= 7*6*5*4*3*2*1 = 5040.

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There are 364 people that have to go from the airport to the hotel. One van can transport 12 people. How many vans are needed?
vladimir2022 [97]
You would need 31 Vans for everyone to be transported.
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Find the distance between the points (-3,10) and (9,-6)
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The distance between the two points would be 20

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Points A, B, and C are midpoints of the sides of right triangle DEF.
Radda [10]

Answer:

1) True 2) True 3) False 4) True

Step-by-step explanation:

In this question let's verify those options

1.Triangle A B C is inside triangle D E F. (true)

If A, B and C are midpoints of DEF then connecting those midpoints we have an interior triangle.

2. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. (true)

3. Angles D F E and A B C are right angles. (false)

These triangles are similar. And In this case, the right angles are:

E\hat{D}F\cong A\hat{C}B=90^{\circ}\\\measuredangle D=\measuredangle C=90^{\circ}

D and C are opposed to the larger side, and not F, and B

Because:\measuredangle F\cong\measuredangle B \neq90^{\circ}

4. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. (true)

Let's test this by the Pythagorean Theorem. For DE is the hypotenuse and FD and FE is their legs.

\overline{DE}=\sqrt{FD^{2}+FE^{2}}\\\overline{DE}=\sqrt{8^{2}+6^{2}}\\10= \sqrt{100}\\10=10

8 0
3 years ago
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It is known that 80% of all brand A external hard drives work in a satisfactory manner throughout the warranty period (are "succ
just olya [345]

Answer:

P (x= 5) =  0.0001

P(x=3) =  0.008699

Step-by-step explanation:

This is a binomial distribution .

Here p = 0.8  q= 1-p = 1-0.8 = 0.2

n= 15

So we find the probability for x taking different values from 0 - 15.

The formula used will be

n Cx p^x q^n-x

Suppose we want  to find the value of x= 5

P (x= 5) = 15C5*(0.2)^10*(0.8)^5 = 0.0001

P(x=3) = 15C3*(0.2)^12*(0.8)^3 =  9.54 e ^-7= 0.008699

Similarly we can find the values for all the trials from 0 -15  by substituting the values of x =0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15.

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3. Which disease is caused by bacteria found in soil that infect deep wounds?
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Tetanus is caused by toxin made by spores of bacteria
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