1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
-BARSIC- [3]
3 years ago
6

Solve the exponential equation. Write the exact answer with natural logarithms and then approximate the result correct to three

decimal places.
5^{1-x} =2^{x}

I was able to start it, but I somehow got log_{5}2=0, and I don't think that's right.
Mathematics
1 answer:
tester [92]3 years ago
3 0

Answer:

Fraction form: x = ln(5)/ln(10)

Decimal form: 0.69897000

please mark brainliest

You might be interested in
The process standard deviation is 0.27, and the process control is set at plus or minus one standard deviation. Units with weigh
mr_godi [17]

Answer:

a) P(X

And for the other case:

tex] P(X>10.15)[/tex]

P(X>10.15)= P(Z > \frac{10.15-10}{0.15}) = P(Z>1)=1-P(Z

So then the probability of being defective P(D) is given by:

P(D) = 0.159+0.159 = 0.318

And the expected number of defective in a sample of 1000 units are:

X= 0.318*1000= 318

b) P(X

And for the other case:

tex] P(X>10.15)[/tex]

P(X>10.15)= P(Z > \frac{10.15-10}{0.05}) = P(Z>3)=1-P(Z

So then the probability of being defective P(D) is given by:

P(D) = 0.00135+0.00135 = 0.0027

And the expected number of defective in a sample of 1000 units are:

X= 0.0027*1000= 2.7

c) For this case the advantage is that we have less items that will be classified as defective

Step-by-step explanation:

Assuming this complete question: "Motorola used the normal distribution to determine the probability of defects and the number  of defects expected in a production process. Assume a production process produces  items with a mean weight of 10 ounces. Calculate the probability of a defect and the expected  number of defects for a 1000-unit production run in the following situation.

Part a

The process standard deviation is .15, and the process control is set at plus or minus  one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces  will be classified as defects."

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(10,0.15)  

Where \mu=10 and \sigma=0.15

We can calculate the probability of being defective like this:

P(X

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

And if we replace we got:

P(X

And for the other case:

tex] P(X>10.15)[/tex]

P(X>10.15)= P(Z > \frac{10.15-10}{0.15}) = P(Z>1)=1-P(Z

So then the probability of being defective P(D) is given by:

P(D) = 0.159+0.159 = 0.318

And the expected number of defective in a sample of 1000 units are:

X= 0.318*1000= 318

Part b

Through process design improvements, the process standard deviation can be reduced to .05. Assume the process control remains the same, with weights less than 9.85 or  greater than 10.15 ounces being classified as defects.

P(X

And for the other case:

tex] P(X>10.15)[/tex]

P(X>10.15)= P(Z > \frac{10.15-10}{0.05}) = P(Z>3)=1-P(Z

So then the probability of being defective P(D) is given by:

P(D) = 0.00135+0.00135 = 0.0027

And the expected number of defective in a sample of 1000 units are:

X= 0.0027*1000= 2.7

Part c What is the advantage of reducing process variation, thereby causing process control  limits to be at a greater number of standard deviations from the mean?

For this case the advantage is that we have less items that will be classified as defective

5 0
3 years ago
This figure represents a step in a compass-and-straightedge construction. Identify the construction.
Goshia [24]
A congruent line segmeny
6 0
3 years ago
Read 2 more answers
–4b + 8c + 12 – 8b – 2c + 6
sertanlavr [38]

Answer:

-24

Step-by-step explanation:

-4-8= -12

8-2=6

12+6=18

-12b+6c+18

Greatest common factor = 6

-12/6=-2

6/6=1

18/6=3

D 6(-2b+1c+3)

-12(2)+6(-3)+18

-24+(-18)+18

-42+18= -24

-24

7 0
2 years ago
Read 2 more answers
(a) Write 6.27% as a decimal<br><br> (b) Write 0.084 as a percentage. <br><br><br> Please help! :D
IgorC [24]

Answer:

A. 0.0627

B. 8.4%

Step-by-step explanation:

You need to divide by 100 if you want to make the decimal to a percent. If you want to make a percent to a decimal then just multiply by 100.

8 0
3 years ago
Read 2 more answers
300 T(w) = 530 - w
Semmy [17]

T(110) is used to calculate the value of T when w = 110.

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Given the linear equation:

T(w) = 530 - w

Hence T(110) is used to calculate the value of T when w = 110.

Find out more on Linear equation at: brainly.com/question/13763238

6 0
2 years ago
Other questions:
  • In 4 games, Larry averaged 23 PPG (points per game). How many points does he need to score in the last game to have an average o
    7·2 answers
  • The vertices of rhombus DEFG are D(1, 4), E(4, 0), F(1, –4), and G(–2, 0).
    7·2 answers
  • Zach has 3/4 hour to play video games. it takes him 1/12 hour to set the system. each round of his
    13·2 answers
  • What is the common ratio of the geometric sequence below?<br> 70,7, 0.7,0.07, 0.007,...
    9·1 answer
  • Is the point (5,-3) on the circle defined by (x-5)^2+(y+3)^2=4
    15·1 answer
  • A clothing store determines that in order to sell x shirts, the price per shirt should be p(x)=100−x dollars. Getting x shirts f
    9·1 answer
  • Please help me I don’t understand this
    7·1 answer
  • PART A. A fruit juice recipe uses three ingredients. Two of the ingredients use a ratio of 2 ounces of pineapple juice to 5 ounc
    5·1 answer
  • 20. Travel The graph shows the costs of a hotel for one night for a
    5·1 answer
  • 8. Write the equation of the line in slope-intercept form given the following:
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!