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Alex17521 [72]
3 years ago
9

How many 3-letter combinations can be made from this set if no letter can be repeated?

Mathematics
1 answer:
Wittaler [7]3 years ago
7 0

Answer:

B 120 different combinations

Step-by-step explanation:

There are 6 letters to choose from

Picking a letter for the first spot  6

Then there are 5 letters left

Picking a letter for the second spot  5

Then there are 4 letters left

Picking a letter for the second spot  4

6*5*4

= 120

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If jobs arrive every 15 seconds on average, what is the probability of waiting more than 30 seconds?
Aleksandr [31]

Answer: 0.14

Step-by-step explanation:

Given: Mean : \lambda=15\text{ per seconds}

In minutes , Mean : \lambda=4\text{ per minute}

The exponential distribution function with parameter \lambda  is given by :-

f(t)=\lambda e^{-\lambda t}, \text{ for }x\geq0

The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-

P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14

Hence, the probability of waiting more than 30 seconds = 0.14

5 0
3 years ago
point Z in nXYZ has coordinates (5,-4). nXYZ was dilated by a scale factor of 0.8 name the coordinates of the image of point V.
cluponka [151]
There is no information given about point V, so any answer will do for the question asked.

If we assume the intent is to ask about the image of point Z, then its coordinates will be 0.8 times those of point Z.
  Z' = 0.8×(5, -4)
  Z' = (0.8×5, 0.8×(-4)) = (4, -3.2)

The appropriate choice seems to be
  C (4, -3.2)
4 0
3 years ago
PLEASE HELP 10pts
Veronika [31]

Answer:

Hence the function which has the smallest minimum is: h(x)

Step-by-step explanation:

We are given function f(x) as:

  • f(x) = −4 sin(x − 0.5) + 11

We know that the minimum value attained by the sine function is -1 and the maximum value attained by sine function is 1.

so the function f(x) receives the minimum value when sine function attains the maximum value since the term of sine function is subtracted.

Hence, the minimum value of f(x) is: 11-4=7 ( when sine function is equal to 1)

  • Also we are given a table of values for function h(x) as:

x    y

−2   14

−1   9

 0   6

  1   5

 2   6

 3   9

 4   14

Hence, the minimum value attained by h(x) is 5. ( when x=1)

  • Also we are given function g(x) ; a quadratic function passing through (2,7),(3,6) and (4,7)

so, the equation will be:

g(x)=ax^2+bx+cHence on putting these coordinates we will get:

a=1,b=3 and c=7.

Hence the function g(x) is given as:

g(x)=x^2-6x+15

So,the minimum value attained by g(x) could be seen from the graph is at the point (3,6).

Hence, the minimum value attained by g(x) is 6.

Hence the function which has the smallest minimum is h(x)

6 0
3 years ago
Read 2 more answers
3 • (4 + 5) is how much more than 3 • 4 + 5 ?
IrinaK [193]

Answer:27

Step-by-step explanation:

8 0
3 years ago
LAW OF SINES??? NEED HELP.​
snow_tiger [21]

Answer:

Step-by-step explanation:

We know by the Triangle Angle-Sum Theorem that the angles of a triangle all add up to equal 180.  So we find angle B:

180 - 82 - 55 = 43

So angle B = 43.  Now we can use the Law of Sines to solve for side b:

\frac{sin(55)}{8}=\frac{sin(43)}{b}

Cross multiply to get

b sin(55) = 8 sin(43) and divide to solve for b:

b=\frac{8sin(43)}{sin(55)} so

b = 6.6605

3 0
3 years ago
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