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
omeli [17]
3 years ago
12

Which of the following expressions is correctly written in scientific notation?

Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer: D is correctly written in scientific notation.

Step-by-step explanation:

The base has to be between 1 and 10.

A has a base of 16.4 which is greater than 9.

B is not even in scientific because the base it being raise to an exponent

C has 0.71 as base which is less that.

You might be interested in
What is the integral of -3x^3
Sati [7]
\int -3x^3\, dx=-3\int x^3 \, dx=-3\cdot\dfrac{x^4}{4}+C=\dfrac{3x^4}{4}+C
6 0
3 years ago
The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, included the question, "Ho
vitfil [10]

Answer:

Therefore, the sampling distribution of \bar{x} is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.

The 95% interval estimate of the population mean \mu is

LCL = 7.431 hours to UCL = 10.569 hours

Step-by-step explanation:

Let X be the number of hours a legal professional works on a typical workday. Imagine that X is normally distributed with a known standard deviation of 12.6.

The population standard deviation is  

\sigma = 12.6 \: hours

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

The sample size is

n = 250

The sample mean is  

\bar{x} = 9 \: hours  

Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.

The population mean would be the same as the sample mean that is

 \mu = \bar{x} = 9 \: hours

The sample standard deviation would be  

$ s = {\frac{\sigma}{\sqrt{n} }  $

Where   is the population standard deviation and n is the sample size.

$ s = {\frac{12.6}{\sqrt{250} }  $

s = 0.7969 \: hours

Therefore, the sampling distribution of \bar{x} is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.

The population mean confidence interval is given by

\text {confidence interval} = \mu \pm MoE\\\\

Where the margin of error is given by

$ MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $ \\\\

Where n is the sampling size, s is the sample standard deviation and  is the t-score corresponding to a 95% confidence level.

The t-score corresponding to a 95% confidence level is

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

Degree of freedom = n - 1 = 250 - 1 = 249

From the t-table at α = 0.025 and DoF = 249

t-score = 1.9695

MoE = t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\\\MoE = 1.9695\cdot \frac{12.6}{\sqrt{250} } \\\\MoE = 1.9695\cdot 0.7969\\\\MoE = 1.569\\\\

So the required 95% confidence interval is

\text {confidence interval} = \mu \pm MoE\\\\\text {confidence interval} = 9 \pm 1.569\\\\\text {LCI } = 9 - 1.569 = 7.431\\\\\text {UCI } = 9 + 1.569 = 10.569

The 95% interval estimate of the population mean \mu is

LCL = 7.431 hours to UCL = 10.569 hours

8 0
3 years ago
It should take 5.22 minutes to clean a shower. You have 5 showers that need to be cleaned. How many minutes should it take for y
Pavlova-9 [17]
It will take 26.1 minutes because 5.22x5 is equal to 26.1
8 0
3 years ago
Equivalent fractions to 1/3
pochemuha
= 2/6 = 3/9 = 12/36 = 24/72 
5 0
3 years ago
A cab charges the following fare for each trip.
Sphinxa [80]

Answer:

32.25

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Two friends practice taekwondo in the same class. The age of the older friend is three times that of the younger. The sum of the
    12·1 answer
  • The slope of the graph of the equation y=2x-2 is 2. what is the y intercept?
    15·1 answer
  • What is the probability of drawing a 6 or a king,​
    6·1 answer
  • Show how you can use distributive property to rewrite and find (32×6)+(32×4)
    7·1 answer
  • Ben's favorite deli says the average serving time is 12 minutes. Ben notices that the wait time at the deli varies at different
    14·2 answers
  • a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. The
    9·1 answer
  • Calra caught the follwing fish in lake George : 24,trout 41, sunfish 12,perch and 23, blue gills if Calra cathes another fish th
    14·1 answer
  • You open a savings account and deposit $1,000. After 1 year of earning continuously compounded interest.
    12·1 answer
  • Help please! this thing hard!!
    10·1 answer
  • URGENT! CORRECT ANSWER WILL RECEIVE BRAINLIEST
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!