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
RoseWind [281]
3 years ago
12

Write this in scientific notation: 52,739

Mathematics
2 answers:
yan [13]3 years ago
6 0
Scientific notion always has a number times 10 to the power of something.

So

5.2739 \times 10^4

Now if you had to round then it would become

5.3 \times 10^4
creativ13 [48]3 years ago
4 0
5.2739 x 10^{4} or 5.3 x 10^{4}
You might be interested in
Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.8. (Round your ans
Alenkinab [10]

Answer:

a) 0.011 = 1.1% probability that the sample mean hardness for a random sample of 17 pins is at least 51

b) 0.0001 = 0.1% probability that the sample mean hardness for a random sample of 45 pins is at least 51

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 50, \sigma = 1.8

(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 17 pins is at least 51?

Here n = 17, s = \frac{1.8}{\sqrt{17}} = 0.4366

This probability is 1 subtracted by the pvalue of Z when X = 51. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{51 - 50}{0.4366}

Z = 2.29

Z = 2.29 has a pvalue of 0.9890

1 - 0.989 = 0.011

0.011 = 1.1% probability that the sample mean hardness for a random sample of 17 pins is at least 51

(b) What is the (approximate) probability that the sample mean hardness for a random sample of 45 pins is at least 51?

Here n = 17, s = \frac{1.8}{\sqrt{45}} = 0.2683

Z = \frac{X - \mu}{s}

Z = \frac{51 - 50}{0.0.2683}

Z = 3.73

Z = 3.73 has a pvalue of 0.9999

1 - 0.9999 = 0.0001

0.0001 = 0.1% probability that the sample mean hardness for a random sample of 45 pins is at least 51

8 0
3 years ago
Find the missing exponent. Set up an equation and solve. : x^4·x^n = x^5
Assoli18 [71]
Use\ a^n\cdot a^m=a^{n+m}\\\\x^4\cdot x^n=x^5\\\\x^{4+n}=x^5\iff4+n=5\ \ \ |subtract\ 4\ from\ both\ sides\\\\\boxed{n=1}
7 0
3 years ago
How can you help this student make sense of her method? <br> ONLY ANSWER IF YOU KNOW THE ANSWER
Misha Larkins [42]

Answer: Read it to him again, and explain all the steps to him nice and slowly.

4 0
3 years ago
Add them all, please
Mamont248 [21]

Answer:

10ax - 2by + 2cz

4 0
2 years ago
Need on number 3 plz
Juli2301 [7.4K]

Answer:

Peyton: 6 years old

Matt: 24 years old

Justin: 9 years old

Step-by-step explanation:

P= Peyton   M= Matt   J= Justin

P=J-3

M=4P

J+P+M=39

4J-12=M  4J-12=39-J-P

5J-51=-P    P=J-3

5J-51=-J+3    J=9

P=9-3  P=6

M=4(6)  M=24


6 0
3 years ago
Other questions:
  • What is the length and width of this cylinder?
    12·1 answer
  • What is 8/5 written as a decimal and percent?
    6·2 answers
  • What is the probability that more than twelve loads occur during a 4-year period? (Round your answer to three decimal places.)
    10·1 answer
  • What is (2/3)m+2=(1/6)m-3
    12·1 answer
  • Slope intercept form 3x-10y=-6
    11·1 answer
  • Write an equation to represent this sentence the difference of a number n and 1.8 is 2
    14·1 answer
  • Choose the figures that are polygons​
    10·1 answer
  • Given the point (5,6) and the slope of 5, find y when x=21
    6·2 answers
  • a bicycle is on sale for 20% off the original price.if the original price of the bicycle is $240, what is the sale price?
    7·1 answer
  • The radius of a circle is 3 miles. What is the circle's area?​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!