How do I solve the equation x/5 + 13 = 25

Answers

Answer 1
Answer:

Answer:

(60)/(5)  + 13 = 25 \n 12 + 13 = 25

Step-by-step explanation:

25 =  (x)/(5)  + 13 \n 25 - 13 =  (x)/(5) \n 12 =  (x)/(5 )  \n 12 * 5 = x \n 60 = x

Answer 2
Answer:

Answer:

x=60

Step-by-step explanation:

Move all terms not containing  x  to the right side of the equation.

Subtract  13from both sides of the equation.

x/5=25-13

Subtract  13  from  25.

x/5=12

Multiply both sides of the equation by  5.

5*x/5=5*12

Simplify both sides of the equation.

Cancel the common factor of  5.

x=5*12

Multiply  5  by  12.

x=60

Hope this helped!!

Have a great day!!


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Suppose that a random sample of size 36 is to be selected from a population with mean 50 and standard deviation 7. What is the approximate probability that will be within 0.5 of the population mean?
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If the mean of 5 positive integers is 15, what is the maximum possible difference between the largest and the smallest of these 5 numbers?

Answers

Answer:

64

Step-by-step explanation:

If the mean is 15, the sum of 5 numbers is:

  • 5*15 = 75

Minimum value for the first four numbers would be:

  • 1, 2, 3, 4

Then the fifth number is:

  • 75 - (1+2+3+4) = 75 - 10 = 65

So the maximum difference is:

  • 65 - 1 = 64

The table shows the​ number, expressed in​ millions, of citizens who moved in​ 2004, categorized by where they moved and whether they were an owner or a renter. find the​ probability, expressed as a decimal rounded to the nearest number of people in a certain country who moved in​ 2004, in millions moved to same region moved to different region moved to different country owner 11.6 11.6 2.7 2.7 0.4 0.4 renter 18.7 18.7 4.5 4.5 1.0 1.0 ​hundredth, that a randomly selected citizen who moved in 2004 was a person who moved to a different region to a different region. ​

Answers

The table is attached.
You need to find the probability, expressed as a decimal rounded to the nearest hundredth, that a randomly selected citizen who moved in 2004 was a person who moved to a different region.

What you need to calculate is the empirical probability: the number of success over the total number of outcomes.

People who moved to a different region = 2.7 + 4.5 = 7.2 millions
People who moved in 2004 =
11.6 + 2.7 + 0.4 + 18.7 + 4.5 + 1.0 = 38.9 millions

P = 
People who moved to a different region / People who moved in 2004
   = 7.2 millions / 38.9 millions = 0.18508997

Therefore, 
the probability that a randomly selected citizen who moved in 2004 was a person who moved to a different region is P = 0.19

Answer:

Step-by-step explanation:

0.19

Assume that females have pulse rates that are normally distributed with a mean of 74.0 beats per minute and a standard deviation of 12.5 beats per minutes. If 16 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute.

Answers

Answer: 0.9726

Step-by-step explanation:

Given :  Females have pulse rates that are normally distributed with a mean of 74.0 beats per minute and a standard deviation of 12.5 beats per minutes.

i.e. \mu=74 and \sigma=12.5

Let x is a random variable to represent the pulse rates.

Formula : z=(x-\mu)/((\sigma)/(√(n)))

For n= 16 , the probability that her pulse rate is less than 80 beats per minute will be :-

P(x<80)=P((x-\mu)/((\sigma)/(√(n)))<(80-74)/((12.5)/(√(16))))\n\n=P(z<(6)/((12.5)/(4)))\n\n=P(z<(24)/(12.5))\n\n=P(z<1.92)=0.9726\ \ [\text{By using z-table.}]

Hence, the required probability = 0.9726

Final answer:

The probability that a randomly selected female's pulse rate is less than 80 beats per minute, given a mean pulse rate of 74.0 and standard deviation of 12.5 beats per minute, is approximately 0.6844, or 68.44%.

Explanation:

This question pertains to the topic of normal distribution in statistics. We know that the average or mean pulse rate for females is 74.0 beats per minute, with a standard deviation of 12.5 beats per minute. We also know that the pulse rate we want to find the probability for is less than 80 beats per minute.

In these situations, we use the formula for the z-score, which is Z = (X - μ) / σ, where X is the value, we're interested in, μ is the mean, and σ is the standard deviation.

Using this formula, we find Z = (80 - 74) / 12.5 = 0.48. After finding the z-score, we can look at the standard normal distribution table to get the probability. The value for Z = 0.48 on the Z table is approximately 0.6844. Therefore, the probability that a randomly selected female's pulse rate is less than 80 beats per minute is approximately 0.6844, or 68.44%.

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Suppose you were exploring the hypothesis that there is a relationship between parents’ and children’s party identification. Would we be correct in inferring that such a relationship also exists in the population? Explain your answer. What is the probability that any relationship we found is due to pure chance?

Answers

Answer:

No

It could be purely due to chance.

Step-by-step explanation:

A population is defined as the whole group which has the same characteristics. For example a population of the college belongs to the same college . But a sample may be an element of a population.

So it is not necessary for a population to have the same characteristics as the sample.

But it is essential for the sample to have at least one same characteristics as the population.

So we would not be correct in inferring that such a relationship also exists in the population.

It is a hypothesis which can be true or false due to certain conditions or limitations as the case maybe.

For example in a population of smokers some may be in the habit of taking cocaine. But a sample of cocaine users does not mean the whole population uses it.

It could be purely due to chance if we find out that there is a relationship between parents’ and children’s party identification in the population.

Given that a point of measure is 3m away from a tree, and the top of the tree is at a 60 degree angle from the ground,find the height of the tree.

Answers

So there is a right triangle.

The tree hight over the distance from the tree is equal to the tangent of the angle.

h / 3 = tan(60)

h / 3 = √(3)

h = 3√(3)

Final answer:

To find the height of the tree, we can use trigonometry and the tangent function. The height of the tree is approximately 5.2 meters.

Explanation:

To find the height of the tree, we can use trigonometry. We have a right triangle formed by the tree, the point of measure, and the ground. The distance from the point of measure to the tree is the adjacent side, and the height of the tree is the opposite side. We can use the tangent function to find the height:

tan(60°) = height/3m

height = 3m * tan(60°) = 3m * √3 ≈ 5.2m

Therefore, the height of the tree is approximately 5.2 meters.

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Please help ASAP! Thank you!

Answers

Omg I need help ASAP TOO Twinzies