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amm1812
3 years ago
15

Condense the expression into a single logarithm and simplify. log26 - log24

Mathematics
1 answer:
podryga [215]3 years ago
7 0

Step-by-step explanation:

this is solved like this

log_{3}(6)  \:   -  log_{3}(4)  \\  =  log_{3}( \frac{6}{4} )  \\ =  log_{3}( \frac{3}{2} )  \\   = log_{3}(1.5)  \\

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Give one real life example of each correlation: positive, negative, and no correlation.
mixer [17]
In a positive correlation, both variables increase together. An example of this is a company's profit's relationship with its sales. The greater the sales, the greater the profit.
A negative correlation is where one variable decreases with increase in the other. An example is the time taken to reach somewhere and the speed traveled at. The faster you move, the less the time.
No correlation means the two variables are not related. An example of this is as you get older, it does not mean you will get better grades.
7 0
3 years ago
Read 2 more answers
Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.
Mrrafil [7]

Answer:

E(X_n)=\frac{2(n-1)}{27}

E(y)=\frac{14}{9}

Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green g=4

Number of yellow y=4

Number of white w=4

Probability of Green Followed by yellow P(GY) ball

 P(GY)=\frac{4}{9}*\frac{3}{9}

 P(GY)=\frac{4}{27}

Generally the equations for when n is even is mathematically given by

 Probability of success P(S)=\frac{4}{27}

 Probability of Failure P(F)=\frac{27-4}{27}

 Probability of Failure P(F)=\frac{23}{27}

Therefore

 E(X_n)=\frac{n}{2}*P

 E(X_n)=\frac{n}{2}*\frac{4}{27}

 E(X_n)=\frac{2n}{27}

Generally the equations for when n is odd is mathematically given by

 \frac{n-1}{2}

 E(X_n)=\frac{n-1}{2}*\frac{4}{27}

 E(X_n)=\frac{2(n-1)}{27}

b)

Probability of drawing white ball

 P(w)=\frac{2}{9}

Therefore

 E(w)=\frac{1}{p}

 E(w)=\frac{1}{\frac{2}{9}}

 E(w)=\frac{9}{2}

Therefore

 E(y)=[E(w)-1]\frac{4}{9}

 E(y)=[\frac{9}{2}-1]\frac{4}{9}

 E(y)=\frac{14}{9}

5 0
3 years ago
What number is 16% of 44 rounded to the nearest tenth show the work also and thxs
OLEGan [10]
SOLUTION:

16% of 44 = 44 × 16% OR 44 × 16 / 100 OR 44 × 0.16

16% of 44 = 7.04

16% of 44 = 7.0 ( rounded to the nearest tenth )

Hope this helps! :)
Have a lovely day! <3
7 0
3 years ago
An eraser is in the shape of a triangular prism. Its dimensions are shown in the diagram. What is surface area of the
Colt1911 [192]

Answer:

6000 square millimeters

Step-by-step explanation:

Side length of the slanting side can be calculated using the Pythagorean theorem,

L = sqrt(30^2+40^2) = 50

sufrace area of a triangular prism

= surface area of the end sections + the surface area of the three side faces

= 2*(30*40/2) + 40*(30+40+50)

= 1200 + 4800

= 6000 mm^2

4 0
3 years ago
Read 2 more answers
A car travelled 72 km in 3/4 h. If the car is travelling at a constant rate how far will the car travel in one hour?
Anvisha [2.4K]

Answer:

96 km

Step-by-step explanation:

72/3 is 24. When yo add 24 to 72 you get 96km.

3 0
3 years ago
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