Answers
Answer:
452.16 inches
Step-by-step explanation:
A = pi r^2
A = 3.14 * (12)^2
A = 3.14 * 144
A = 452.16 inches
Related Questions
A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medical study is (1850, 2000). Assume the population distribution for daily calories consumed is normally distributed and that the confidence interval was based on a simple random sample of 18 observations. Calculate the sample mean, the margin of error, and the sample standard deviation based on the stated confidence interval and the given sample size. Use the t distribution in any calculations and round non-integer results to 4 decimal places.
Answers
Answer:
The sample mean is of 1925 calories.
The margin of error is of 75 calories.
The sample standard deviation is of 109.7992 calories.
Step-by-step explanation:
Sample mean:
The sample mean is the mean value of the two bounds of the confidence interval. So
[tex]M = \frac{1850 + 2000}{2} = 1925[/tex]
The sample mean is of 1925 calories.
The margin of error
Difference between the bounds and the sample mean. So
2000 - 1925 = 1925 - 1850 = 75 calories.
The margin of error is of 75 calories.
Sample standard deviation:
Here, I am going to expand on the t-distribution.
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 = 18 - 1 = 17
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898
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.
Since [tex]M = 75, T = 2.898, n = 18[/tex]
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]75 = 2.898\frac{s}{\sqrt{18}}[/tex]
[tex]s = \frac{75\sqrt{18}}{2.898}[/tex]
[tex]s = 109.7992[/tex]
The sample standard deviation is of 109.7992 calories.
Helppppppppppppppppppppp
Answers
Lainey brought a set of 22 markers for $6. What is the cost of 1 marker? Round answers to the nearest hundredths where necessary.
Answers
can somebody help me?
Answers
Answer:
15x + 7
Step-by-step explanation:
i set this up
8x + 16 + 7x -9
the next step is to combine like terms
8x + 7x = 15x
16 - 9 = 7
15x = 7
15x + 7
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $1300 and her stock in Company B was worth $4820. The stock in Company A has decreased 22% since last year and the stock in Company B has decreased 25%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answers
Answer:
24.4%
Step-by-step explanation:
LAST QUESTION I NEED! Should be easy (I don’t think the answer is 4 might be wrong if given an explanation)
Answers
Answer:
2
Step-by-step explanation:
because 2 square is 4 then that was needed for the other squares but this one is doubled
There are blue, red and yellow counters in a bag in the ratio 3:2:1. There are 6 more blue counters than red counters. How many counters are there in total?
Answers
Answer:
12
Step-by-step explanation:
im pretty sure its 12 if not im sorry
what are prime factors
Answers
Answer:
Prime Factors is a factor of a given integer which is also a prime number.
The volume of a rubber ball is 5,461 cm3. What is the radius of the ball?
Answers
Answer:
~10.92 cm
Step-by-step explanation:
V = 4/3πr^3
5,461 = 4/3πr^3
4095.75 = πr^3
1303.72 = r^3 ≈ 10.92
Has a margin of error based on my rounding to the hundreths.
A roll of quarters has a value of
$10. The expression
10 represents the amount of money in a number of rolls of quarters. What does the variable
represent?
Answers
Answer:
110
Step-by-step explanation:
help do not scam me ok I will give 40 points
Answers
Answer:
C. Preform calculations on my own and compare them to Roberto’s.
Step-by-step explanation:
His calculations do not match the line plot. He doesn’t account for every mark on the plot.
Justin cuts 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough?
Answers
Answer:
1.67 inches
Step-by-step explanation:
HOPE IT HELPS YOUU
Rashads teacher buys paperback books for her classroom library. Each book costs $6, and she spends a total of $150. Which equation models the number of books, n, she buys? A. 6n=150 B. n/6=150 C.150-n=6 D. 6•150=n
Answers
Answer:
A
Step-by-step explanation:
6n=150
pls answer i have a ton of homework
Answers
Answer:
ewqvrdvfgbt2nbvcx
Step-by-step explanation:
Answer:
the answer is 9
Step-by-step explanation:
Help plz....................
Answers
Answer:
x = 136°
y = 44°
Step-by-step explanation:
x + 44° = 180° (Adjacent angles of a parallelogram)
x = 180° - 44°
x = 136°
y = 44° (Opposite angles of a parallelogram)
At an Auto Repair shop, 4 of the 16 cars received oil changes. What percent of the cars received oil changes?
Answers
Answer:
its 25 percent
Step-by-step explanation:
want an explanation cuz im happy to give you 1
A manufacturer produces two models of toy airplanes. It takes the manufacturer 20 minutes to assemble model A and 10 minutes to package it. It takes the manufacturer 25 minutes to assemble model B and 5 minutes to package it. In a given week, the total available time for assembling is 3000 minutes, and the total available time for packaging is 1200 minutes. Model A earns a profit of $10 for each unit sold and model B earns a profit of $8 for each unit sold. Assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week?
Answers
Answer:
[tex]\$1320[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the number of units of A
[tex]y[/tex] be the number of units of B
For assembling we have
[tex]20x+25y\leq 3000[/tex]
For packaging we have
[tex]10x+5y\leq 1200[/tex]
Let profits earned be [tex]Z[/tex] so
[tex]Z=10x+8y[/tex]
We have the maximize the function.
Plotting the equations we can see that the intersection points are [tex](0,120),(100,40),(120,0)[/tex]
In the question it is mentioned we have to sell both the products so [tex]x[/tex] or [tex]y[/tex] cannot be [tex]0[/tex].
So, the point of maximiztion for the function would be [tex](100,40)[/tex]
The maximum profit would be
[tex]Z=10\times 100+8\times 40\\\Rightarrow Z=1320[/tex]
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 10,800; SSTR = 4560.
Set up the ANOVA table for this problem (to 2 decimals, if necessary).
Source of Variation Sum of Squares Degrees of Freedom Mean Square F
Treatments
Error
Total
Use {Exercise 13.07} Three different methods for assem = .05 to test for any significant difference in the means for the three assembly methods.
Calculate the value of the test statistic (to 2 decimals).
The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 11
What is your conclusion?
SelectConclude not all means of the three assembly methods are equalCannot reject the assumption that the means of all three assembly methods are equal
Item 12are my calculations correct?
Answers
Given :
Number of methods, k = 3
Number of the observations, n = 30
Degrees of freedom Treatment = k - 1
= 3 - 1 = 2
Degrees of freedom for error = n - k
= 30 - 3 = 27
[tex]$SSTR = 4560, \ SST = 10800$[/tex]
[tex]$SSE = SST - SSTR$[/tex]
= 10800 - 4560
= 6240
[tex]$SSE_{treatment} = MS_{treatment } \times DF_{treatment}$[/tex]
[tex]$MS_{treatment} = \frac{4560}{2}=2280$[/tex]
[tex]$MS_{error}=\frac{SSE_{error}}{DF_{error}}$[/tex]
[tex]$=\frac{6240}{27}=231.1$[/tex]
[tex]$F=\frac{MS_{treatment}}{MS_{error}}$[/tex]
[tex]$=\frac{2280}{231.1}=9.865$[/tex]
Source variation Sum of square Degrees of freedom Mean square F
Treatment 4560 2 2280 9.8653
Error 6240 27 231.11111111
Total 10800
The critical value of F for the 0.05 sig level and df (227) is 3.354
Since the test stat > critical value of F, so we reject null hypothesis and state that there is a significant difference in the means of the three assembly methods.
Please I need help it’s an emergency
Answers
Answer:
h = 79 m
Step-by-step explanation:
The length of the string, H = 125 m
The kite forms 39° angle.
We need to find the height of the kite. Let it is h. We can find it using trigonometry i.e.
[tex]\sin\theta=\dfrac{P}{H}[/tex]
Where
P is perpendicular and H is Hypotenuse
So,
[tex]\sin\theta=\dfrac{h}{H}\\\\h=H\times \sin\theta\\\\h=125\times \sin(39)\\\\h=78.66\ m[/tex]
or
h = 79 m
So, the kite is flying at a height of 79 m.
in the following figure, the value of x is ____
Answers
Answer:
it should be 20 i hope it helps but im nt 100% sure
Step-by-step explanation:
Tina's bakery, sells cinnamon, banana, apple and blueberry muffins. Each day the bakery bakes 63 apple muffins, the apple muffins represent 42℅ of all the muffins baked each day, how many muffins are baked each day.
Answers
Ok. So if 42 % is apple, then 63 = 42%.
You can divide it by 42 to get 1%
63 / 42 = 1.5
Than times by 100 to get 100%
100% = 150.
150 Muffins per day
When a famous artist was just beginning her career, she sold a painting for $250. Her artwork has been increasing in value by 15% every year as her popularity has grown. If this rate continues, how much will the painting be worth in 10 years? Round your answer to the hundredths place if needed.
Answers
Answer:625 dollars
Step-by-step explanation:
If Elijah works between 240 and 249 hours during the summer, how much money will he earn? Write and solve two equations: one for the most amount and one for the least amount of money he could have earned.
Answers
2 1/4 divided by 6
PLS I NEED HELP ASAP
Answers
Answer:
.375 which is 3/8
Step-by-step explanation: If you meant the mixed fraction 2 1/4 divided by 6 then that is the answer! 2 1/4 =2.25 and divide it by 6 and you get 0.375
Answer:
3/8
Step-by-step explanation:
convert mixed numbers to improper fractions
21/4 = 9/4
convert element to fraction
6=6/1
9/4 divided by 6/1
apply the fraction rule (hope you're familiar)
9/4 * 1/6
cross- cancel common factor 3
3*1 = 3
4*2 = 8
multiply the numbers
3/ 4*2
3/8
. 16 is 20% of what number? Show your work and/or explain your reasoning.
Answers
Answer:
0.8
Step-by-step explanation:
.16/.2 = 0.8
check
0.8 x .2 = 0.16
Drag each tile to the correct box. Ross has a box of movies in four genres: romance, comedy, drama, and science fiction. The table gives the probability of picking a movie of each genre. Movie Genre Probability romance 0.38 comedy 0.1 science fiction 0.22 drama 0.3 As part of an experiment, Ross picks a movie at random and then replaces it. He repeats the process 200 times. Place the following events in order from the event with the lowest predicted frequency to the event with the highest predicted frequency. picking a romantic movie picking a comedy movie picking a science fiction movie picking a dramatic movie , , ,
Answers
Answer:
0.1
0.3
0.22
0.38
Step-by-step explanation:
Answer:
1ST BOX Picking a Comedy movie
2ND BOX picking a science fiction movie
3RD BOX picking a dramatic movie
LAST BOX Picking a romantic movie
Step-by-step explanation:
I took the test
Please please help help
Answers
Answer:
17 players
Step-by-step explanation:
6 people scored 2
8 people scored 3
3 people scored 4
3x = 20
What are the angle measures
Answers
Answer:
equation: 3x - 20 = 0
Step-by-step explanation:
3x = 20
add its opposite to both sides.
3x - 20 = 20 - 20
= 3x - 20 = 0
I will mark someone brainliest!
Answers
Answer:
2nd option is the correct answer
Step-by-step explanation:
Oscillating powerful magnets within wire coils.
Answer:
Step-by-step explanation:
I think it's got to be coal because the power plants always have like smoke and d is the only one that burns something
The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1,400. If the monthly interest rate is 1.3% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent.
Answers
Answer:
This answer is on quizlet
Step-by-step explanation:
Answer:3255.20
Step-by-step explanation:
First, calculate the interest using the APR in decimal form (divided by 12) and the average daily balance.
Interest =0.27612×$2,400=$55.20
Then add the interest to the unpaid balance.
Total Balance =$3,200+$55.20=$3,255.20