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Anna71 [15]
3 years ago
7

Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the ex

pression.See example 2.
- 8 + e^Inx^3
Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Answer:

x^3-8

Step-by-step explanation:

apply the inverse properties of logarithmic and exponential functions to simplify  

- 8 + e^{lnx^3}

Inverse property of log says that

e^{ln(x)=x

we apply this property in our problem. ln has same base 'e' . so ln and e gets cancelled

e^{ln(x^3)=x^3

- 8 + e^{lnx^3}

- 8 +x^3

x^3-8

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Probability.
swat32

Answer: 0.0386

Step-by-step explanation:

Given: The probability hat the frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked : p= 0.30

Sample size : n = 12

Let x = Number of contaminated chickens

Here , two outcomes for any chicken (either contaminated or not) , so it follows binomial distribution.

Binomial probability formula:

P(X=x)  = \ ^nC_x p^x(1-p)^{n-x}

The probability that the consumer will have more than 6 contaminated chickens :-

P(X>6)=P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\\\=^{12}C_6(0.3)^6(0.7)^6+^{12}C_7(0.3)^7(0.7)^5+^{12}C_8(0.3)^8(0.7)^4+^{12}C_9(0.3)^9(0.7)^3+^{12}C_{10}(0.3)^{10}(0.7)^2+^{12}C_{11}(0.3)^{11}(0.7)^1+^{12}C_0(0.3)^{12}(0.7)^0

=0.03860084306\approx0.0386<em>  (simplified)</em>

<em />

Hence, the required probability = 0.0386

5 0
3 years ago
Guys please help me out. ...
Marina CMI [18]
I can't see the photo!????????
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3 years ago
Raj gets a 1.5 mile head start and runs at a rate of 4.5 miles per hour. Jacinda's progress is represented by a graph that goes
Alexxandr [17]
From the given ordered pair representing Jacinda's progress, her speed is equal to 10 miles per hour. Letting x be the time it takes for Jacinda to catch up with Raj, the total distance Raj would travel is 
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and Jacinda's total distance is 10x. Mathematically,
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3 years ago
Find the least common multiple of 12 and 18?
Evgesh-ka [11]
36 is the correct answer
8 0
2 years ago
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elena55 [62]
The reference angle is
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7 0
3 years ago
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