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
marishachu [46]
2 years ago
8

Question 2 Unsaved

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
5 0
Each time the value of n increases by 1, the value of an increases by a factor of 3. The 3rd choice is appropriate.

_____
When an expression like this one is written in plain text, it is appropriate (required) to put parentheses around the exponent that contains an arithmetic operation.
  an = 4·3^(n-1)

If you leave off the parentheses, the expression no longer describes a geometric sequence.
You might be interested in
I need help on B and C. Not sure how I can solve those. Can someone please help me out here? Thank you for your help!
Valentin [98]

Nice job with part A on getting those correct answers.

====================================================

Part B

  • mu = mean = 43
  • sigma = standard deviation = 3

Let's calculate the z score for the raw score x = 37

z = (x - mu)/sigma

z = (37 - 43)/3

z = -6/3

z = -2

A negative z score tells us we're below the mean. Specifically, we are exactly 2 standard deviations under the mean.

If you repeat those steps for x = 46 (not changing mu or sigma), then you should get z = 1. So we're now 1 standard deviation above the mean.

Ultimately, we want to know the area under the standard normal curve (aka z curve) from z = -2 to z = 1.

Refer to the chart below which is a breakdown of the Empirical Rule. The pink areas are within 1 standard deviation of the mean. We have two regions taking up roughly 34% of the full area under the curve, so they combine to 34+34 = 68%

Then we add on another 13.5% which is the blue area on the left (between z = -2 and z = -1)

So 13.5+68 = 81.5% of the area under the curve is between z = -2 and z = 1.

<h3>Answer: 81.5</h3>

Note: the percent sign is already taken care of for us, so there's no need to type it in. But the answer above of course means 81.5% and that answer is approximate.

====================================================

Part C

Let's find the z score for x = 34. The values of mu and sigma are the same as before.

z = (x - mu)/sigma

z = (34-43)/3

z = -9/3

z = -3

So computing P(X > 34) is the same as P(Z > -3)

Notice how adding up all of the values in the chart mentioned gets us:

2.35+13.5+34+34+13.5+2.35 = 99.7

which means 99.7% of the distribution is within 3 standard deviations of the mean. The remaining 100% - 99.7% = 0.3% is the combined area of both tails. So each tail is (0.3%)/2 = 0.15%

In short, 0.15% of the area under the curve is to the left of z = -3

Therefore, 100% - 0.15% = 99.85% of the widgets are going to have z values larger than -3, which in turn means they have values larger than 34.

<h3>Answer: 99.85</h3>

Again you don't have to worry about the percent sign. Like before, the answer is approximate.

5 0
3 years ago
Multiply (x + 14)(x + 15). What is the product?
Contact [7]

Answer:

x^2+29x+210

I hope this helps! I did this through the FOIL method. :)

5 0
3 years ago
The length of a rectangle is 5.5 feet. If the area is 44 square feet, what is the width of the rectangle, in feet?
vlabodo [156]
So area is length times width therefore
A=LW
44ft^2=5.5W
divide both sides by 5.5
44/5.5=Width=8 feet
7 0
3 years ago
Read 2 more answers
Mai and Oriya were on scooters. Mai traveled 15 meters in 6 seconds. Oriya travels 22 meters in 10 seconds. Who was moving faste
Rashid [163]
Oriya. Mai 6/15=.4 Oriya 10/22=.45
5 0
3 years ago
Use the formula for volume = ℎ to find the<br> volume of the rectangular prism shown.
Sedaia [141]

Answer: 56 / 729

Step-by-step explanation: (4 * 2 * 7) / (9^3)

3 0
2 years ago
Other questions:
  • Do parallel rays have to be coplanar?
    8·1 answer
  • How do you solve a radical equation? What are the steps in doing so?
    13·1 answer
  • [WILL MARK BRAINLIEST]
    7·1 answer
  • 99 POINT PROJECT -- ACTUALLY DO IT, DONT TELL ME HOW! 99 POINTS.
    5·1 answer
  • Write the expression without using exponents (-2y)^4
    10·2 answers
  • A tree casts a shadow that is 150 feet long. If the angle of elevation from the tip of the shadow to the top of the tree is 30°,
    13·1 answer
  • I don't understand this, can anyone tell me what the answer for this question is please?
    13·1 answer
  • I'LL GIVE YOU 35 POINTSSS HELP MEEE I NEED ASSISTANCE
    7·1 answer
  • On average, Seattle gets 38 inches of rain each year. How many centimeters of rain do they get each year?
    15·1 answer
  • A shelf holds 12 books in a row. How many ways are there to choose five books so that no two adjacent books are chosen
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!