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Nutka1998 [239]
3 years ago
14

Convert ln x = y to exponential form.

Mathematics
1 answer:
LuckyWell [14K]3 years ago
8 0
Answer: e^y=x

ln(x)=y

e^ln(x)=e^y

x=e^y

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Evaluate the following expression:<br> 5+7(3x+y) when x=12, y=8
timofeeve [1]
First step is 5+7(36x+8y) because you have to distribute
5 0
3 years ago
Read 2 more answers
Television networks frequently run public opinion polls on issues of concern. One network conducted a scientific poll asking a q
kobusy [5.1K]

Answer:

Option d

Step-by-step explanation:

Given that television networks frequently run public opinion polls on issues of concern. One network conducted a scientific poll asking a question concerning the approval rating of the way President Obama was handling the Iraq War. At about the same time a second network ran an online poll using a very similar question.

Observed data is

Poll              Scien      Online total

   

approve    339   385      724

disapprove 780        573     1363

                 1119        958     2087

H_0: Both scientific and online are consistent\\H_a: not consistent

(Two tailed chi square test)

Let us find out expected and chi square

Expected = row total x column total/grand total

The cell count expected in the online poll for those who approve

=\frac{724*968}{2087} \\=333.94

chi square = 7.81

Hence option d is right.

4 0
3 years ago
When studying radioactive material, a nuclear engineer found that over 365 days,
Gnom [1K]

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\lambda is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

\lambda = \frac{29742}{365} = 81.485

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0

0% probability that on a given day, 50 radioactive atoms decayed.

5 0
3 years ago
What is the answer to 1/4(-12plus4/3)
Genrish500 [490]

Answer:

Step-by-step explanation:1/4(-12+4/3)

-12+4/3=-36+4/3

1/4*-32/3=-8/3

-2.666

4 0
3 years ago
You have $3000 to enclose a rectangular piece of property with a fence. The fence costs $9 per foot. A scale drawing of the prop
son4ous [18]

Answer:

Step-by-step explanation:

C=9P

P=2(L+W)

C=18(L+W)

C=18(8(12)+7(12))

C=18(96+84)

C=18(180)

C=$3240

So you do not have enough money to enclose the property.

8 0
3 years ago
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