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artcher [175]
3 years ago
14

A mathematics journal has accepted 14 articles for publication. However, due to budgetary restraints only 7 articles can be publ

ished this month. How many specific ways can the journal editor assemble 7 of the 14 articles for publication?
Mathematics
2 answers:
butalik [34]3 years ago
7 0
The total number of articles is 14 and only 7 can be published. Since what is asked is the ways to assemble the 7 articles, this is a permutation problem.
14P7 = <span>17297280 ways
If order is not of concern, the problem is just a combination problem
14C7 = </span><span>3432 ways</span><span />
Alex Ar [27]3 years ago
3 0

Answer:

17,297,280

Step-by-step explanation:

Just took test, and the answer above is wrong so i wanted to help.

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Alenkasestr [34]

Answer:

\frac{5}{6}

Step-by-step explanation:

The total number of squares is 36, and only 6 of them are shaded therefore, the remaining 30 are not shaded. The probability that a randomly selected square is not shaded would therefore be:

\frac{30}{36}  =  \frac{10}{12}  \\ =   \frac{5}{6}

3 0
1 year ago
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Please help! I don't get it cause the person that was teaching it had horrible handwriting ;-;
lions [1.4K]

Answer: power of a power

Step-by-step explanation:

in the expression (x^4)^9, 4 and 9 are powers. 9 is the power of x^4, so you have to multiply 4 by 9 to get x^36. this means it's a power of a power

3 0
3 years ago
Miguel is a golfer, and he plays on the same course each week. The following table shows the probability distribution for his sc
aivan3 [116]

1) 4.55

2) Short hit

Step-by-step explanation:

1)

The table containing the score and the relative probability of each score is:

Score 3 4 5 6 7

Probability 0.15 0.40 0.25 0.15 0.05

Here we call

X = Miguel's score on the Water Hole

The expected value of a certain variable X is given by:

E(X)=\sum x_i p_i

where

x_i are all the possible values that the variable X can take

p_i is the probability that X=x_i

Therefore in this problem, the expected value of MIguel's score is given by:

E(X)=3\cdot 0.15 + 4\cdot 0.40 + 5\cdot 0.25 + 6\cdot 0.15 + 7\cdot 0.05=4.55

2)

In this problem, we call:

X = Miguel's score on the Water Hole

Here we have that:

- If the long hit is successfull, the expected value of X is

E(X)=4.2

- Instead, if the long hit fails, the expected value of X is

E(X)=5.4

Here we also know that the probability of a successfull long hit is

p(L)=0.4

Which means that the probabilty of an unsuccessfull long hit is

p(L^c)=1-p(L)=1-0.4=0.6

Therefore, the expected value of X if Miguel chooses the long hit approach is:

E(X)=p(L)\cdot 4.2 + p(L^C)\cdot 5.4 = 0.4\cdot 4.2 + 0.6\cdot 5.4 =4.92

In part 1) of the problem, we saw that the expected value for the short hit was instead

E(X)=4.55

Since the expected value for X is lower (=better) for the short hit approach, we can say that the short hit approach is better.

8 0
3 years ago
Find the value of x so that the function has the given value
True [87]

Answer:

Step-by-step explanation:

We are looking for the value of x so that the function has the given value in the following:

1) h(x) = -7x; h(x)=63

From the function given above,

If h(x) = 63, then,

h(x) = 63 = -7x

-7x = 63

Dividing the left hand side and right hand side of the equation by -7, it becomes

-7x/-7 = 63/-7

x = - 9

2) m(x) = 4x + 15; m(x)=7

From the function given above,

If m(x) = 7, then,

m(x) = 7 = 4x + 15

7 = 4x + 15

4x = 15 - 7 = 8

Dividing the left hand side and right hand side of the equation by 4, it becomes

4x/4 = 8/4

x = 2

3) q(x) = 1/2x - 3; q(x) = -4

From the function given above,

If q(x) = - 4, then,

q(x) = - 4 = 1/(2x - 3) =

Cross multiplying,

-4(2x-3) = 1

-8x +12 = 1

Collecting like terms,

-8x = 1 - 12

-8x = -11

Dividing the left hand side and right hand side of the equation by -8, it becomes

-8x/8 = -11/-8

x = 11/8

3 0
3 years ago
Can someone pls help me with this
muminat

Answer:

C f=9

Step-by-step explanation:

isolate f on one side so you subtract 5 from both sides to get 3f=27 and then divide by 3 on each side to get f=9

5 0
2 years ago
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