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Genrish500 [490]
3 years ago
10

X is an integer Write down all the solutions of inequality 3<2x +1 < 13

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0

Answer:

1<x<6

Step-by-step explanation:

subtract 1 from every side: 2<2x<12

divide 2 every side: 1<x<6

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Suppose that two teams play a series of games that ends when one of them has won ???? games. Also suppose that each game played
Musya8 [376]

Answer:

(a) E(X) = -2p² + 2p + 2; d²/dp² E(X) at p = 1/2 is less than 0

(b) 6p⁴ - 12p³ + 3p² + 3p + 3; d²/dp² E(X) at p = 1/2 is less than 0

Step-by-step explanation:

(a) when i = 2, the expected number of played games will be:

E(X) = 2[p² + (1-p)²] + 3[2p² (1-p) + 2p(1-p)²] = 2[p²+1-2p+p²] + 3[2p²-2p³+2p(1-2p+p²)] = 2[2p²-2p+1] + 3[2p² - 2p³+2p-4p²+2p³] =  4p²-4p+2-6p²+6p = -2p²+2p+2.

If p = 1/2, then:

d²/dp² E(X) = d/dp (-4p + 2) = -4 which is less than 0. Therefore, the E(X) is maximized.

(b) when i = 3;

E(X) = 3[p³ + (1-p)³] + 4[3p³(1-p) + 3p(1-p)³] + 5[6p³(1-p)² + 6p²(1-p)³]

Simplification and rearrangement lead to:

E(X) = 6p⁴-12p³+3p²+3p+3

if p = 1/2, then:

d²/dp² E(X) at p = 1/2 = d/dp (24p³-36p²+6p+3) = 72p²-72p+6 = 72(1/2)² - 72(1/2) +6 = 18 - 36 +8 = -10

Therefore, E(X) is maximized.

6 0
3 years ago
Can you plz answer this for 10pt
Harrizon [31]
Round to the nearest thousands

8,276 = 8,000
2,451 = 2,000

8,000 + 2,000 = 10,000

answer
Maya traveled by plane about 10.000 miles
7 0
3 years ago
In a survey of 248 people, 156 are married, 70 are self-employed, and 25 percent of those who are married are self-employed. If
MatroZZZ [7]

Answer:

The probability of selecting a  person which is  self-employed but not married equals 1/8.

Step-by-step explanation:

Here, the given survey says:

Total number of people surveyed = 248

Number of people married = 156

The number of people are self employed = 70

Now, 25% of people who are married are SELF EMPLOYED.

Now, calculating 25% of 156 , we get:

\frac{25}{100} \times 156 = 39

⇒ out of total 156 married people, 39 are self employed.

So, number of  self employed people but  not married

= Self employed people - Self employed people PLUS  married

=  70  -  39   =  31.

So, the probability that the person selected will be self-employed but not married = \frac{\textrm{The total number of people self-employed but not married}}{\textrm{Total Number of people}} =  \frac{31}{248}  = \frac{1}{8}

Hence The probability of selecting a  person which is  self-employed but not married equals 1/8.

7 0
3 years ago
If f ( x ) = 2x + 2 and g ( 1 ) = 3x – 1, find (f/g) (2)
schepotkina [342]

Answer:

  • 6/5 or 1.2

Step-by-step explanation:

<u>Given functions:</u>

  • f (x) = 2x + 2
  • g (x) = 3x – 1

<u>To find:</u>

  • (f/g) (2)

<u>Solution</u>

  • (f/g)(x) = f(x)/g(x) = (2x + 2) / (3x - 1)
  • (f/g)(2) = (2*2 + 2) / (3*2 -  1) = 6/5 = 1.2
6 0
3 years ago
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Answer: how much does a haircut cost

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