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
victus00 [196]
3 years ago
10

(2×1)+(4×0.1)+(7×0.001)=

Mathematics
1 answer:
Andrews [41]3 years ago
5 0
2.507



......................................
You might be interested in
Majesty Video Production Inc. wants the mean length of its advertisements to be 26 seconds. Assume the distribution of ad length
Paladinen [302]

Answer:

a) By the Central Limit Theorem, approximately normally distributed, with mean 26 and standard error 0.44.

b) s = 0.44

c) 0.84% of the sample means will be greater than 27.05 seconds

d) 98.46% of the sample means will be greater than 25.05 seconds

e) 97.62% of the sample means will be greater than 25.05 but less than 27.05 seconds

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(also called standard error) 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 = 26, \sigma = 2, n = 21, s = \frac{2}{\sqrt{21}} = 0.44

a. What can we say about the shape of the distribution of the sample mean time?

By the Central Limit Theorem, approximately normally distributed, with mean 26 and standard error 0.44.

b. What is the standard error of the mean time? (Round your answer to 2 decimal places)

s = \frac{2}{\sqrt{21}} = 0.44

c. What percent of the sample means will be greater than 27.05 seconds?

This is 1 subtracted by the pvalue of Z when X = 27.05. So

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

By the Central Limit Theorem

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

Z = \frac{27.05 - 26}{0.44}

Z = 2.39

Z = 2.39 has a pvalue of 0.9916

1 - 0.9916 = 0.0084

0.84% of the sample means will be greater than 27.05 seconds

d. What percent of the sample means will be greater than 25.05 seconds?

This is 1 subtracted by the pvalue of Z when X = 25.05. So

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

Z = \frac{25.05 - 26}{0.44}

Z = -2.16

Z = -2.16 has a pvalue of 0.0154

1 - 0.0154 = 0.9846

98.46% of the sample means will be greater than 25.05 seconds

e. What percent of the sample means will be greater than 25.05 but less than 27.05 seconds?"

This is the pvalue of Z when X = 27.05 subtracted by the pvalue of Z when X = 25.05.

X = 27.05

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

Z = \frac{27.05 - 26}{0.44}

Z = 2.39

Z = 2.39 has a pvalue of 0.9916

X = 25.05

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

Z = \frac{25.05 - 26}{0.44}

Z = -2.16

Z = -2.16 has a pvalue of 0.0154

0.9916 - 0.0154 = 0.9762

97.62% of the sample means will be greater than 25.05 but less than 27.05 seconds

8 0
3 years ago
Pls answer fast. will give brainliest (v2)
Alinara [238K]

Answer:

Account B   principle for B=400, principle for A=200

Step-by-step explanation:

4 0
3 years ago
Which is a graph for the inequality m<(or equal to)-2?
brilliants [131]

Answer:

cool

Step-by-step explanation:

5 0
3 years ago
Please i need help with 4th grade math please write the answer and shiw the solution hownto solve the problem step by step.thank
julia-pushkina [17]

Answer:

110

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Really need this todayyyyyy
Bond [772]

Answer:

Q3: x1=2+i, x2=2-i Q4: x1=-3/2+i, x2=-3/2-i

Step-by-step explanation:

x^{2} - 4x + 5 =0

( 4± \sqrt{16 - 4*1*5} ) / 2 = (

x1= 2+i

x2= 2-i

2x^{2} +6x + 5 =0

( -6 ± \sqrt{36 - 4*2*5} ) / 4 = (-6 ± \sqrt{-4} )/4= (-3 ± i)/2

x1 = -3/2 +i

x2 = -3/2 -i

7 0
3 years ago
Read 2 more answers
Other questions:
  • A pitcher's arm rotates at a speed of 7 degrees per millisecond (degrees/ms)
    14·2 answers
  • Which of the following angles, when placed in standard position, does not land in quadrant III?
    6·2 answers
  • Cedro collects state quarters he has 42 out of 50 available quarters what is 42 out of 50 as a percent
    5·1 answer
  • Instructions:Type the correct answer in each box.
    7·1 answer
  • You are getting a line-up ready for a school kickball game. You have
    7·1 answer
  • Solve for a in terms of b and c. 4a + b = 2c
    7·2 answers
  • Find the area of the shape shown<br> below.
    13·1 answer
  • As a salesperson at an electronics store, Tyler earns a base salary of $45,000 per year plus $75 for each computer he sells (x).
    10·2 answers
  • Ayudaa
    8·1 answer
  • What is the domain of f(x)=(1/4)^x?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!