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2 years ago

Simplify 12 to the 16th power over 12 to the 4th power.

Mathematics

1 answer:

viva [34]2 years ago

3 0

Answer:

12 power 12

Step-by-step explanation:

Since the have the same base 16-4=12

So its 12 to the twelfth power

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An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other. What is the probability that the second

AleksAgata [21]

Answer:

<em>The probability that the second ball is red is 71%</em>

Step-by-step explanation:

<u>Probabilities</u>

We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).

The first ball can be red (R) or green (G). The probability that it's red is computed by

$\displaystyle P(R)=\frac{5}{7}$

The probability is's green is computed by

$\displaystyle P(G)=\frac{2}{7}$

If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is

$\displaystyle P(RR)=\frac{5}{7}\cdot \frac{4}{6}=\frac{10}{21}$

If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is

$\displaystyle P(GR)=\frac{2}{7}\cdot \frac{5}{6}=\frac{5}{21}$

The total probability of the second ball being red is

$\displaystyle P(XR)=\frac{10}{21}+\frac{5}{21}=\frac{5}{7}=0.71$

The probability that the second ball is red is 71%

7 0

2 years ago

The Yates family’s cell phone bill is $175 a month. How much will they pay for a year (12 months)?

alexira [117]

Answer:

The Yates phone bill will be $2100 for a year.

Step-by-step explanation:

175x12=2100

4 0

2 years ago

1-sin60÷cos60=1-Tan30÷1+Tan30

ipn [44]

Step-by-step explanation:

LHS=(1-sin60)/cos60

=(1-√3÷2)/1÷2

=2(1-√3÷2)

=2-√3

RHS=(1-tan30)/(1+tan30)

={1-(1÷√3)}/{1+(1÷√3)}

={(√3-1)/√3}/{(√3+1)/√3}

=(√3-1)/(√3+1)

={(√3-1)(√3-1)}/{(√3+1)(√3-1)}

=(3-√3-√3+1)/(3-1)

=(4-2√3)/2

=2-√3

Therefore LHS=RHS

8 0

2 years ago

Which type of debt is often unsecured?

kramer

Answer: mortgage

Step-by Step explanation :

8 0

2 years ago

What is the inverses of f(x)=4/3x+5

iren [92.7K]

Answer:

f-1(x)=3x/4 -15/4

That is the inverse

3 0

2 years ago