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blsea [12.9K]
3 years ago
14

An exam consists of 15 true-or-false questions. If a student guesses at every answer, what is the probability that he or she wil

l answer exactly 9 questions correctly? (Round your answer to three decimal places.).
Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0
<span>C(15,9) * (1/2)^9 * (1/2)^6 = 5005/32768 = .153 approx</span>
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How do I do this ? I don’t understand logarithm
ale4655 [162]

Hello from MrBillDoesMath!

Answer:

x = 19

Discussion:

Both sides are logarithms to the same base, namely 20 , which implies the expressions in x (what we are taking logarithms of) must be equal. So we need to solve

4x - 10 = 3x + 9              => subtract 3x from both sides

4x-3x - 10 = 9                 => add 10 to both sides

x = 9 + 10 = 19

Thank you,

MrB

8 0
3 years ago
Which of these strategies would eliminate a variable in the system of equations? ​8x+8y=2 8x+5y=1 ​ Add the equations. (Choice B
harkovskaia [24]

Answer:

B. Subtract the bottom equation from the top equation.

Step-by-step explanation:

When looking at the two equations:

8x + 8y = 2

8x + 5y = 1

We can easily get rid of the x variable by subtracting the two equations from each other since the terms are equivalent. This would allow us to solve for the y value, which we could plug into the an equation to solve for the x value.

7 0
3 years ago
Read 2 more answers
8.2 x 10 ^-5 in standard notation
Mars2501 [29]
8.2*10^-5 can be also written as 0.000082, in standard notation. 
Hope this helps.
5 0
3 years ago
Express x^2+4x-7 in the form (x+a)^2-b where a and b are integers
lukranit [14]

Answer:

(x + 2)^2 - 11.

Step-by-step explanation:

f(x) = x^2 + 4x - 7

Now x^2 + 4x = (x + 2)^2 - 4 so we have:

f(x) = (x + 2)^2 - 4 - 7

f(x) = (x + 2)^2 - 11.

4 0
3 years ago
The temperature in degrees Celsius can be determined using the expression 5 9 (F – 32) where F is the temperature in degrees Fah
Norma-Jean [14]

Answer:

The temperature on Celsius scale for 86 ºF is 30 ºC.

Step-by-step explanation:

Both degrees Celsius and Fahrenheit are relative scales of temperature. The relationship between degrees Fahrenheit and degrees Celsius is summarized by the equation below:

T_{C} = \frac{5}{9}\cdot (T_{F}-32) (1)

Where:

T_{F} - Temperature, measured in degrees Fahrenheit.

T_{C} - Temperature, measured in degrees Celsius.

If we know that T_{F} = 86\,^{\circ}F, then its equivalent temperature on Celsius scale is:

T_{C} = \frac{5}{9}\cdot (86-32)

T_{C} = 30\,^{\circ}C

The temperature on Celsius scale for 86 ºF is 30 ºC.

3 0
3 years ago
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