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
Jobisdone [24]
3 years ago
6

4.19. A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stoc

kholders. In addition, the study determined that 75% of all American adult stockholders have some college education. Suppose 37% of all American adults have some college education. An American adult is randomly selected. a. What is the probability that the adult owns stock and has some college education
Mathematics
1 answer:
postnew [5]3 years ago
8 0

Answer:

P (S∩E)  = 0.1591

Step-by-step explanation:

Let the stockholders be donated by S then the P (s)= 0.43

Let the stockholders having some degree be donated by D then the P (d)= 0.75

Let the American having some college degree be donated by E then the

P (E)= 0.37

As the events are independent their joint probability can be found by multiplying the individual probabilities

P (S∩E)  = P(s) . P (E)= 0.43 * 0.37= 0.1591

You might be interested in
Researchers are interested in the effect of a certain nutrient on the growth rate of plant seeding. Use a hydroponics grow proce
Rashid [163]

Answer:

The 95% confidence interval for the mean would be given by (56.604;68.596)

The 99% confidence interval for the mean would be given by (53.196;72.004)

Step-by-step explanation:

1) Previous concepts

When we compute a confidence interval for the mean, we are interested on the parameter population mean, and we use the info from the sample to estimate this parameter.

2) Basic operations

The sample mean can be calculated with the following formula

\sum_{i=1}^n \frac{x_i}{n}

Using excel we can use this function to calculate the mean:

=AVERAGE(54.2,59.8,61.8,63.3,65.1,71.4)

The value obtained is \bar X=62.6

In order to find the sample deviation we can use this formula

s=\sqrt{\sum_{i=1}^n \frac{(x_i-\bar X)^2}{n-1}}

And using excel we can use this function to calculate the sample standard deviation:

=STDEV.S(54.2,59.8,61.8,63.3,65.1,71.4)

The value obtained is s=5.713

The sample size for this case is n=6, n<30 so then is better use the t distribution to calculate the margin of error. First we need to calculate the degrees of freedom, on this case df=n-1=6-1=5

The formula for the confidence interval would be given by:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

3) Part a

If we want a 95% or 0.95 of confidence, then the value for the signficance is \alpha=1-0.95=0.05, and \alpha/2=0.025, and 1-\frac{\alpha}{2}=0.975 so we can find the critical t value with the following formula in excel:

=T.INV(0.975,5)

And we got t_{\alpha/2}= 2.571

And we can replace into equation (1) and we got:

62.6 \pm 2.571\frac{5.713}{\sqrt{6}}

And using excel with the following formulas we got:

=62.6-2.571*(5.713/SQRT(6)) = 56.604

=62.6+2.571*(5.713/SQRT(6)) = 68.596

So the 95% confidence interval for the mean would be given by (56.604;68.596)

4) Part b

If we want a 99% or 0.99 of confidence, then the value for the signficance is \alpha=1-0.99=0.01, and \alpha/2=0.005, and 1-\frac{\alpha}{2}=0.995 so we can find the critical t value with the following formula in excel:

=T.INV(0.995,5)

And we got t_{\alpha/2}= 4.032

And we can replace into equation (1) and we got:

62.6 \pm 4.032\frac{5.713}{\sqrt{6}}

And using excel with the following formulas we got:

=62.6-4.032*(5.713/SQRT(6)) = 53.196

=62.6+4.032*(5.713/SQRT(6)) = 72.004

So the 99% confidence interval for the mean would be given by (53.196;72.004)

8 0
3 years ago
Acellus
mylen [45]

Answer: 90degrees

Step-by-step explanation: The question was asked in degree. So the answer should be in degree. Which leaves us with no option than 90degrees.

8 0
2 years ago
If a cone has a radius of 2 cm and a height of 10 cm, what is the volume?
BARSIC [14]

Answer:

41.89

explanation:

the formula for finding the volume of a cone would be pi x r^2 x h/3;

3.14 x 4 x 3.33333333, which equals 41.89.

hope that helps :)

5 0
3 years ago
Read 2 more answers
Put 3/8, 2/5, and 0.38 from least to greatest
Vesnalui [34]
3/8=0.375
2/5=0.4
0.38=0.38

0.375<0.38<0.4

therefore: 3/8,0.38,2/5

*Remember that you can convert fractions to decimals by dividing the numerator by the denominator! This makes it much easier to compare :)
5 0
2 years ago
Read 2 more answers
How do you slove 2/3 (9x -6) = 14
Ivanshal [37]

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2

3

(9x−6)=14

(

2

3

)(9x)+(

2

3

)(−6)=14(Distribute)

6x+−4=14

6x−4=14

Step 2: Add 4 to both sides.

6x−4+4=14+4

6x=18

Step 3: Divide both sides by 6.

6x

6

=

18

6

x = 3

5 0
2 years ago
Other questions:
  • Someone please answer this it’s due today I need help
    7·1 answer
  • Jeremy stores DVDs on a bookshelf in his living room. If the bookshelf has 6 shelves, and a maximum of 34 DVDs can fit on each s
    10·2 answers
  • Solve the inequality for u.​
    6·1 answer
  • PLEASE HELP ME I WILL MARK U AS THE BRAINIEST ANSWER!
    15·1 answer
  • Solve the equation -16x&gt;-80
    10·2 answers
  • The telephone company offers two billing plans for local calls. Plan 1 charges ​$27 per month for unlimited calls and Plan 2 cha
    14·1 answer
  • Matt and Kelly both simplified the expression (4y ​3 ​​ ) ​2 Matt claims the expression is equal to 8y 5 and Kelly claims the ex
    8·1 answer
  • Does anyone know what this is? I’m stuck.
    11·2 answers
  • Trendy Teens Instructions Click the links to open the resources below. These resources will help you complete the assignment. On
    8·2 answers
  • Rewrite 32 +68= 100 using the Commutative Law of Addition
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!