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2 years ago

Help please? It would help a lot :)

Mathematics

1 answer:

timofeeve [1]2 years ago

3 0

6.
a. P(2 or 4) is the probability of rolling either a 2 or a 4 on the die.
P(2 or 4) is equal to P(rolling a 2) + P(rolling a 4)
1/6 + 1/6 = 2/6 = 1/3

b. P(greater than 2) is equal to P(3) + P(4) + P(5) + P(6)
1/6 + 1/6 + 1/6 + 1/6 = 4/6 = 2/3

7. The probability of getting a head is 1/2. If you toss the coin two times, there are four different possibilities. HH, TT, HT, or TH. The answer would be 1/4, you get that by multiplying 1/2 by 1/2 again.

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How to solve this?

nevsk [136]

Answer:

Answer of 17 is ㏒( $x^{2}$ +15x), Answer of 33 is x = 8 , Answer of 35 is x = ㏒10/㏒2 , Answer of 37 is x = -㏒12/㏒8 and Answer of 39 is x = 5

Step-by-step explanation:

17. ㏒x + ㏒(x+15)

Using property ㏒a + ㏒b = ㏒a×b

∴ ㏒x + ㏒(x+15)

㏒x×(x+15)

㏒( $x^{2}$ +15x)

The answer is ㏒( $x^{2}$ +15x)

33. 2^(x-5) = 8

2^(x-5) = 2^3

Using property 2^a = 2^b

Then a = b

∴x-5 = 3

x = 8

The answer is x = 8

35. 2^x = 10

Taking log on both sides gives

㏒2^x = ㏒10

x×㏒2 = ㏒10

x = ㏒10/㏒2

The answer is x = ㏒10/㏒2

37. 8^-x = 12

Taking log on both sides gives

㏒8^-x = ㏒12

-x×㏒8 = ㏒12

x = -㏒12/㏒8

The answer is x = -㏒12/㏒8

39. 5(2^3 × x) = 8

5(8×x) = 8

x = 5

The answer is x=5

5 0

3 years ago

What’s the total value of the 6 in 26,312

Orlov [11]

The total value is 6,000

5 0

3 years ago

Read 2 more answers

What value of c makes x2 − 12x + c a perfect square trinomial? −36 −24 24 36

rewona [7]

Take half of the middle coefficient.
Then square it.

-12/2 = -6

(-6)^2 = 36

c = 36

8 0

3 years ago

Read 2 more answers

A box contains 11 red chips and 4 blue chips. We perform the following two-step experiment: (1) First, a chip is selected at ran

Scilla [17]

Answer:

P(B1) = (11/15)

P(B2) = (4/15)

P(A) = (11/15)

P(B1|A) = (5/7)

P(B2|A) = (2/7)

Step-by-step explanation:

There are 11 red chips and 4 blue chips in a box. Two chips are selected one after the other at random and without replacement from the box.

B1 is the event that the chip removed from the box at the first step of the experiment is red.

B2 is the event that the chip removed from the box at the first step of the experiment is blue. A is the event that the chip selected from the box at the second step of the experiment is red.

Note that the probability of an event is the number of elements in that event divided by the Total number of elements in the sample space.

P(E) = n(E) ÷ n(S)

P(B1) = probability that the first chip selected is a red chip = (11/15)

P(B2) = probability that the first chip selected is a blue chip = (4/15)

P(A) = probability that the second chip selected is a red chip

P(A) = P(B1 n A) + P(B2 n A) (Since events B1 and B2 are mutually exclusive)

P(B1 n A) = (11/15) × (10/14) = (11/21)

P(B2 n A) = (4/15) × (11/14) = (22/105)

P(A) = (11/21) + (22/105) = (77/105) = (11/15)

P(B1|A) = probability that the first chip selected is a red chip given that the second chip selected is a red chip

The conditional probability, P(X|Y) is given mathematically as

P(X|Y) = P(X n Y) ÷ P(Y)

So, P(B1|A) = P(B1 n A) ÷ P(A)

P(B1 n A) = (11/15) × (10/14) = (11/21)

P(A) = (11/15)

P(B1|A) = (11/21) ÷ (11/15) = (15/21) = (5/7)

P(B2|A) = probability that the first chip selected is a blue chip given that the second chip selected is a red chip

P(B2|A) = P(B2 n A) ÷ P(A)

P(B2 n A) = (4/15) × (11/14) = (22/105)

P(A) = (11/15)

P(B2|A) = (22/105) ÷ (11/15) = (2/7)

Hope this Helps!!!

5 0

3 years ago

Quinzel earns $1,254 each month. His total deductions are 20% of his pay. How much is deducted from his pay each month? A. $62.7

Blababa [14]

The answer is C. 250.80

change the percent to a decimal (0.20) and multiply 1,254x0.20=250.80

6 0

3 years ago