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
Angelina_Jolie [31]
3 years ago
5

The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average ag

e in the sample was 31 years with a standard deviation of 3.8 years.The Margin of error of the 99% confidence interval for the average age of the consumers is a.1.90 years b.2.13 years c.4.10 years d.1.65 years
Mathematics
1 answer:
Lelu [443]3 years ago
8 0

Answer:

a.1.90 years

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

n = 25, \sigma = 3.8

So

M = 2.575*\frac{3.8}{\sqrt{25}} = 1.90

So the correct answer is:

a.1.90 years

You might be interested in
Answer will give brainliest
Lemur [1.5K]

Answer:

1.-202

2.4i-1

3. 195-65i

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Lata has collected 75 pennies, Lata's father says that if she arranges the pennies in 15 rows, Lata will be able to make a recta
tigry1 [53]

Answer:

Yes, Her father is correct.

Step-by-step explanation:

75/15=5 which means that there will be fifteen rows, with five pennies in each row. Since one side has 5 pennies and the other has fifteen, the sides are different and form a rectangle. To check your work, you can do 15*5 which equals 75 the rectangle of pennies should look like this:

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

4 0
3 years ago
F(x) = 3x + 2 replace f(x) with y
kirill [66]

Answer:

 -1           x - 2

f    (x) = -----------

                  3

Step-by-step explanation:

Then we have y = 3x + 2.

Next, interchange x and y, obtaining x = 3y + 2

Next, solve this result for y:  3y = x - 2; then divide both sides by 3:

y = (x-2)/3

Last, replace "y" with the inverse function label:

 -1           x - 2

f    (x) = -----------

                  3

5 0
3 years ago
A 12inch diameter pizza has 22 calories per square inch. About how many calories are in the entire pizza? Use 3.14 for pi. Selec
wlad13 [49]

Step-by-step explanation:

Diameter of pizza = 12 inch

Therefore, radius r = 6 inch

Area \: of \: entire \: pizza \\  = \pi {r}^{2}  \\  = 3.14 \times  {6}^{2}  \\  = 3.14 \times 36 \\  = 113.04 \:  {inch}^{2}  \\  \\ amount \: of \: calories \: in \: entire \: pizza \\  = area \: of \: pizza \\  \times calories \: per \: square \: inch \\  = 113.04 \times 22 \\  = 2,486.88 \\

5 0
3 years ago
Evaluate: 2^-4 =. Apex
alekssr [168]

Answer:

1/16

Step-by-step explanation:

2^-4=1/2^4=1/16

4 0
3 years ago
Other questions:
  • What is the realistic mean and median for the distribution in this boxplot
    10·1 answer
  • I've experiencing for a while but this is Finding missing angles. Please help me!!​
    15·2 answers
  • You own a bond that pays $62 in interest annually. The face value is $1,000 and the current market price is $1,034.14. The bond
    15·1 answer
  • What is the surface area
    7·1 answer
  • Find the minimum value of C=x+3y
    11·1 answer
  • Which shows all the names that apply to the figure?
    13·2 answers
  • Solve x <br><br> 6 - 12x = -54
    6·2 answers
  • 6A./25% घाटामा बेचिएको कुनै सामानलाई रु. 21,000 बढीमा बेच्न सकिएको भए 10% नाफा
    15·1 answer
  • 1. What is the measure of arc QR? *<br><br> (check screenshot)
    9·1 answer
  • Efraín es un vendedor de celulares, cada equipo cuesta 7500 pesos, el cuenta con su propia línea telefonica y tiene dos métodos
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!