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2 years ago

The experimental probability of a coin landing on heads is 7/12, if the coin landed on tails 30 times, find the number of tosses

Mathematics

1 answer:

Maurinko [17]2 years ago

5 0

72 tosses
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Hi, need help with solving this logarithm.

vfiekz [6]

Answer:

$\log 8 - \log x + 7\log\sqrt x =\log (8x^{\frac{5}{2}})$

Step-by-step explanation:

Given

$\log 8 - \log x + 7\log\sqrt x$

Required

Express as a single expression

We have:

$\log 8 - \log x + 7\log\sqrt x$

Write 7 as an exponent

$\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log(\sqrt x)^7$

Rewrite as:

$\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log(x^{\frac{1}{2}})^7$

$\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log x^\frac{7}{2}$

Apply quotient and product rule of logarithm

$\log 8 - \log x + 7\log\sqrt x =\log (\frac{8*x^\frac{7}{2}}{x} )$

Apply law of indices

$\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{7}{2} - 1})$

Solve exponent

$\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{7-2}{2}})$

$\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{5}{2}})$

$\log 8 - \log x + 7\log\sqrt x =\log (8x^{\frac{5}{2}})$

8 0

2 years ago

What is the volume of the pyramid in the diagram? 25 cm3 75 cm3 105 cm3 135 cm3 225 cm3

DanielleElmas [232]

The answer would be A

6 0

2 years ago

Tickets for a school football game cost 1.00 if purchased before the day of the game. They cost 1.50. They cost 1.50 each if bou

cluponka [151]

Answer:

Let x = number of gate tickets, ($1.50)

Since there were 600 tickets sold, let (600-x) = the $1 tickets

1.50 tickets + $1 tickets = $700

1.5x + 1(600 - x) = 700

1.5x - x = 700 - 600

.5x = 100

x = 100/.5

x = 200 ea 1.50 tickets sold at the gate

;

Check: there were 600 - 200 = 400 ea $1 tickets sold

1.50(200) + 1(400) = $700

6 0

3 years ago

Factor the following expression.

mel-nik [20]

Answer:

the factor of 12 is 1 2 3 4 6 12 so that

-3(n+4)

5 0

1 year ago

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What

Oksana_A [137]

Using the domain concept, the restrictions on the domain of (u.v)(x) are given by:

A. u(x) ≠ 0 and v(x) ≠ 2.

<h3>What is the domain of a data-set?</h3>

The domain of a data-set is the set that contains all possible input values for the data-set.

To calculate u(x) x v(x) = (u.v)(x), we calculate the values of u and v and then multiply them, hence the restrictions for each have to be considered, which means that statement A is correct.

Summarizing, u cannot be calculated at x = 0, v cannot be calculated at x = 2, hence uv cannot be calculated for either x = 0 and x = 2.

More can be learned about the domain of a data-set at brainly.com/question/24374080

#SPJ1

3 0

2 years ago