Answers
9514 1404 393
Answer:
(a) 216
Step-by-step explanation:
Put 5 where n is in the formula to find the 5th term. Do the arithmetic.
a5 = (5 +1)^3 = 6^3 = 216
The 5th term is 216.
Related Questions
You want to estimate the mean hourly yield for a process that manufactures an antibiotic. You observe the process for 100 hourly periods chosen at random, with the results of 32 ounces per hour and a standard deviation of 7 ounces. Calculate the 95% margin of error (in ounces per hour). (Round your answers to three decimal places.)
Answers
Answer:
The margin of error for the 95% confidence interval is of 1.389 ounces per hour.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 100 - 1 = 99
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9842
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Then
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]M = 1.9842\frac{7}{\sqrt{100}}[/tex]
[tex]M = 1.389[/tex]
The margin of error for the 95% confidence interval is of 1.389 ounces per hour.
You walk into a store that is closing. The pants normally cost $60.00 but it is discounted 75%. They are also taking an additional 20% off. What is the total prrcentage discounted?
Answers
hbngfthjhuiuttyui
Step-by-step explanation:
yiutujhyyiiyttthhuijc
f(x)=(-3^x+12)-2 what is the domain, range, x and y intercepts and vertical and horizontal asymptotes.
Answers
range = {y|y < 10}
i don’t know the x intercept sorry but
y intercept = (0,9)
there’s no vertical asymptotes for this function
horizontal asymptote: y = -2
Tarzan leaned a 100-foot ladder against the side of a building. The
hase of the ladder is 18 feet from the base of the building. The top of
the ladder is 16 feet from the top of the building How tall, to the
narest tenth of a foot, is the building?
16
100
18
Answers
Answer:
is 16 foot a part from the building
Bailee plots two points on the coordinate grid. She put point J at (3,9) and (8,2)
Answers
Answer:
B. 8.6 units
Step-by-step explanation:
I've plotted both points on the picture below. The distance between the two points is 8.6023252670426 units, which is closest to B, 8.6 units. As a result, B is the answer to this question.
The sales tax rate on a new vehicle is
6.5%. If the vehicle is $ 12,000, then how
much will you be charged for sales tax?
Answers
Answer:
$780
Step-by-step explanation:
12,000X6.5=78,000
78,000/100=780
A shipping company charges an oversize package fee if the sum of the
dimensions of the package are more than 60 in. The length of the package you
want to send must be twice its width. What are the dimensions of a package
with maximum volume that avoids the oversize fee?
Answers
Answer: Length = 40 inches
Width = 20 inches
Step-by-step explanation:
Let the width of the package be represented by x.
Since the length of the package must be twice its width, therefore the length will be: = 2 × x = 2x
Since the sum of the dimensions equals 60 inches. This will then be:
x + 2x = 60.
3x = 60
x = 60/3
x = 20
Therefore, the width = 20 inches
Length = 2x = 2 × 20 = 40 inches
The dimensions should be 40 by 20 inches.
please answer asap! no scam links or scam comments or reported.
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
:))
Many employers screen by GPA, in addition to a variety of skills. Suppose a student is in the last semester of college and has a 2.78 GPA after 105 credit hours. If he is taking 15 credit hours in his last semester and gest a perfect 4.0 GPA, what will his overall GPA be? Round to the nearest 2 decimal places. Is it possible to get his GPA up to a 3.0 by graduation?
Answers
Answer:
um?
Step-by-step explanation:
Step-by-step explanation:
15*4 = 60 and
105 + 15 =120 and then
x/105 = 2.78
x = 291.9+60
total credit = 351.9 then
351.9/120 =2.9325
Round 2 decimal place is
2.93
130% of what number is 75.4?
Answers
Please help worth 10 points
Answers
Answer:
2.5%
Step-by-step explanation:
ahhh has to be 20 characters
I would say 50 percent
Find the value of x to make the rectangles similar.
Answers
Answer:
84
Step-by-step explanation:
126/42 = 3 Find the long side proportion
28 x 3 = 84 multiply by proportion
find the interest and final payment. interest rate: 12%. previous balance: $4,800
Answers
Answer:
Equivalent representations of percent problems
Step-by-step explanation:
The price of a computer component is the tracing at a rate of 10% per year if the components cost $90 today what will it cost in three years
Answers
Answer:
$119.79
Step-by-step explanation:
Year 1:
10% of 90 is 99
Year 2:
10% of 99 is 9.9
Year 3:
10 percent of 108.9 is 10.89
108.9+10.89= 119.79
If n −−√=9
then n=
Plz help
Answers
9514 1404 393
Answer:
n = 3
Step-by-step explanation:
Any calculator, or your knowledge of multiplication tables, will tell you ...
9 = 3×3
√9 = 3
n = 3
mike ran 1/2 mile during gym class . how many feet did he run.
Answers
Mia practiced violin for 4⅛ hours per day for 5 days. How many hours did she practice?
Answers
Answer:
20 5/8
Step-by-step explanation:
convert mixed number into decimal by changing mixed number into an improper fraction then dividing
multiple by 5
boom you got your answer:p
Find the PERIMETER and AREA of each figure below
help ASPS
Find the perimeter and area 22-24 and only find the area for 25-26
Answers
Answer:
22)
[tex]2(length+breadth+h)[/tex][tex]2(5a^2b^2+3ab^2)[/tex][tex]Perimeter: 2ab^2(5a^2+31)[/tex][tex]Area:-[/tex]
[tex]5a^2b^4 *3ab^2[/tex][tex]A=15a^2b^6[/tex]-----------
23)
[tex]perimeter:-[/tex]
[tex]4m^2+3mn^2+7mn[/tex][tex]4m^2+10mn^2[/tex][tex]answer: 2m(2m+5n^2)[/tex][tex]Area:-[/tex]
[tex]\frac{1}{2}* base* height[/tex][tex]1/2*3mn^2*4m^2[/tex][tex]6mx^{2+1}n^2[/tex][tex]A=6m^3n^2[/tex]----------
24)
[tex]1/2*b*h[/tex][tex]1/2x^24m^2*8mn[/tex][tex]A=16m^3n[/tex]----------
25)
[tex]1/2*(7a^2b+11a^2b)*3ab[/tex][tex]1/2*18a^2b*3ab[/tex][tex]9a^2b*3ab[/tex][tex]A=27 a^3b^2[/tex]------------
26)
[tex]A= 9\pi (x^3y)^2[/tex]∴To calculate the perimeter , add the length of its sides.
∴To calculate the area, multiply its height by its width.
------------------------
hope it helps...
have a great day!!
An alarming number of U.S. adults are either overweight or obese. The distinction between overweight and obese is made on the basis of body mass index (BMI), expressed as weight/height2. An adult is considered overweight if the BMI is 25 or more but less than 30. An obese adult will have a BMI of 30 or greater. According to a January 2012 article in the Journal of the American Medical Association, 33.1% of the adult population in the United States is overweight and 35.7% is obese. Use this information to answer the following questions.
a. What is the probability that a randomly selected adult is either overweight or obese? (Round your answer to 3 decimal places.)
b. What is the probability that a randomly selected adult is neither overweight nor obese? (Round your answer to 3 decimal places.)
c. Are the events "overweight" and "obese" exhaustive?
A. Yes because you cannot be both overweight and obese.
B. Yes because you can be both overweight and obese.
C. No because you may either be overweight or obese.
D. No because you may be neither overweight nor obese.
Answers
Answer:
a. The probability that a randomly selected adult is either overweight or obese is:
= 68.8%.
b. The probability that a randomly selected adult is neither overweight nor obese is:
= 31.2%
c.
D. No because you may be neither overweight nor obese. The events "overweight" and "obese" are not exhaustive.
Step-by-step explanation:
Overweight adult = BMI ≥ 25 but < 30
Obese adult = BMI ≥ 30
Journal of the American Medical Association:
Overweight adult population in the United States = 33.1%
Obese adult population in the United States = 35.7%
The probability that a randomly selected adult is either overweight or obese = Percentage of overweight adult population + Percentage of obese adult population
= 33.1% + 35.7%
= 68.8%
The probability that a randomly selected adult is neither overweight nor obese = 1 - 68.8%
= 31.2%
The events "overweight" and "obese" can only be exhaustive if their combined probabilities of occurrence equals 1 or 100%.
Find the difference
Answers
Answer:
4x² - 2x + 5
Step-by-step explanation:
5x² - 1x² = 4x²
8x - 6x = 2x
2 + 3 = 5
= 4x² - 2x + 5
A recent study of 750 Internet users in Europe found that 35% of Internet users were women. What is the 95% confidence interval of the true proportion of women in Europe we use the Internet
Answers
Answer:
The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A recent study of 750 Internet users in Europe found that 35% of Internet users were women.
This means that [tex]n = 750, \pi = 0.35[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 - 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3159[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 + 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3841[/tex]
The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).
What is the volume of the following rectangular prism?
Answers
Answer:
volume = 14 2/3 units³
Step-by-step explanation:
volume = 7 1/3(2) = 14 2/3 units³
Which figure correctly shows a horizontal reflection of the illustration?
Answers
Answer:
Step-by-step explanation:
B
4. Which set is an example of like fractions?
O A. 10/10 and 5/5
O B.74 and 4
O C.2/1 and 23
OD.72 and 32
A
Answers
Also, when simplified by 2, 10/10 equals 5/5. 10:2/10:2=5/5
HELP LOOK AT THE PHOTO
Answers
[tex]\bf{Hello!}[/tex]
The answer is 140°
Because we can use exterior angle property here
Exterior angle property : It states that exterior angle is the sum of two opposite interior angles
y = 120 + 20 = 140°
Answer:
140 degrees
Step-by-step explanation:
A triangle's sum of interior angles is 180.
120+20=140
180-140=40
So X= 40.
X and Y are supplementary, so they both add up to 180.
180-40=140
Therefore, Y=140.
Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.
A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.
$49.75
$74.75
$156
$1196
Mark this and return Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.
A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.
$49.75
$74.75
$156
$1196
Mark this and return Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.
A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.
$49.75
$74.75
$156
$1196
Mark this and return Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.
A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.
Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.
A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.
$49.75
$74.75
$156
$1196
Mark this and return
$49.75
$74.75
$156
$1196
Mark this and return
$49.75
$74.75
$156
$1196
Mark this and return
Answers
Answer: $74.75
Step-by-step explanation:
Answer:
74.75 dolors i take test
Step-by-step explanation:
Solve the exponential equation: 6–2x = 62 – 3x
Answers
Answer:
the answer should be 56 :)
Step-by-step explanation:
Answer:
x=56
Step-by-step explanation:
Try to end up with only a single variable on one side.
Step 1: Add 3x to each side of the equation to keep them both equal. Example: 6-2x+3x=62-3x+3x
or
6+x=62
Step 2: Subtract 6 from both sides. Example:
6+x-6=62-6
or
x=56
Step 3: You found the answer. Hope this helps and is correct.
Eric went for a car rental for the weekend. He can choose one of two plants. The first plant has an initial fee of $44 and cost an additional $.12 per mile driven. The second plan has an initial fee of $57 and cost an additional eight cents per mile driven. For what amount of driving do the two plants cost the same?
Answers
Answer:
325
Step-by-step explanation:
.12x + 44 = .08x + 57
.04x = 13
x= 325
What is the answer for 82-(72+1)
Answers
Answer:
The answer should be 9.
Step-by-step explanation:
Can someone help me pls
Answers
Answer:
AB = 18
Step-by-step explanation:
tan 45° = 18/AB
1 = 18/AB
AB = 18