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4 years ago

8

Which logarithmic equation is equivalent to 3^2 = 9?

2 answers:

AlladinOne [14]4 years ago

6 0

Answer:

For edge it's the first option.

Step-by-step explanation:

2= log3 9

Troyanec [42]4 years ago

5 0

Log3 9 = 2 will be answer

For the given expression, 3^2 = 9, <span>log3 9 = 2 will be the logarithmic equation.

As according to formulas of logarithm,
if, logx y = n
then x^n = y

so using this formula,
</span>log3 9 = 2 will be the logarithmic equation of <span>the given expression, 3^2 = 9</span>

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In a recent survey in a Statistics class, it was determined that only 70% of the students attend class on Fridays. From past dat

pishuonlain [190]

Answer:

a) 67.6% of students is expected to pass the course

b) 0.9112 = 91.12% probability that he/she attended classes on Fridays

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

a. What percentage of students is expected to pass the course?

88% of 70%(attended class)

20% of 100 - 70 = 30%(did not attend class). So

$p = 0.88*0.7 + 0.2*0.3 = 0.676$

0.676*100% = 67.6%

67.6% of students is expected to pass the course.

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

Here, we use conditional probability:

Event A: Passed the course

Event B: Attended classes on Fridays.

67.6% of students is expected to pass the course.

This means that $P(A) = 0.676$

Probability that passed and attended classes on Friday.

88% of 70%

This means that:

$P(A \cap B) = 0.88*0.7 = 0.616$

Then

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.616}{0.676} = 0.9112$

0.9112 = 91.12% probability that he/she attended classes on Fridays

5 0

3 years ago

Help me with question 2

Viefleur [7K]

Answer:

2,0.333,13,20

Step-by-step explanation:

3 0

3 years ago

3/5n+15=10+2/5n what is n

Nutka1998 [239]

$\textsf{Hey there!}$

$\mathsf{\dfrac{3}{5}n +15=10+\dfrac{2}{5}n}$

$\mathsf{\bf{SUBTRACT}\ \mathsf{by\ \dfrac{2}{5}n\ from\ both\ of\ your\ sides}}$

$\mathsf{Like: \dfrac{3}{5}n+15-\dfrac{2}{5}n=\dfrac{2}{5}n+10-\dfrac{2}{5}n}$

$\mathsf{\bf{CANCEL: \dfrac{3}{5}+\dfrac{2}{5}}}\textsf{out\ because that gives you\ 1}$

$\textsf{Solve\ the set we have left over}$

$\mathsf{Our\ new\ equation\ becomes: \dfrac{1}{5}n+15=10}$

$\mathsf{\bf{SUBTRACT}}\textsf{ by 15 on both of your sides}$

$\mathsf{\dfrac{1}{5}n+15-15=10-15}$

$\mathsf{Cancel\ out: 15-15\ because\ that\gives\ you\ 0 }$

$\mathsf{Keep: 10-15\ because\ it\ helps\ us\ solve\ for\ your\ n }$

$\mathsf{10-15=-5}$

$\mathsf{New\ equation: \dfrac{1}{5}n=-5}$

$\mathsf{\bf{MULTIPLY}\mathsf{\ both\ sides\ by\ 5}}$

$\mathsf{\dfrac{1}{5}n\times5=5\times-5}$

$\mathsf{Cancel\ out\ \dfrac{1}{5}\times5 \ because \ it \ gives \ us \ 1}$ $\mathsf{Keep: 5\times -5\ because\ it\gives\ us\ the\ value\ of\ your\ n}$

$\mathsf{n =5\times-5}\\\mathsf{5\times-5 = -25}$

$\textsf{Thus, \underline{\bf{n = -25}}}\checkmark$

$\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\boxed{\bf{n =-25}}}}}}\checkmark$

$\textsf{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

7 0

3 years ago

4 x 5 - (2² - 2) =? <br> (18 ÷ 3) + (3² - 7) =?

OverLord2011 [107]

4x5-(2 (2) - 2 ) = 14
(18/ 3) + (3 (2) - 7) 8

7 0

3 years ago

Convert the following to scientific notation: 5050

ozzi

Answer:

5.05*10³

Step-by-step explanation:

<em>Put the decimal after the first digit and drop the zeroes. To find the exponent count the number of places from the decimal to the end of the number.</em>

5050 = 5.05 *1000 = 5.05*10³

5 0

3 years ago