By using the formula for the volume of a cylinder we will see that the approximate radius must be 8.2 inches.
How to get the radius of the cylinder?
Remember that for a cylinder of radius R and height H the volume is:
[tex]V = 3.14*R^2*H[/tex]
In this case, the height is twice the radius, so we have:
H = 2R
[tex]V = 3.14*R^2*2R = 6.28*R^3[/tex]
And we know that the volume must be 3,500 in^3, now we can replace that and solve for R, we will get:
[tex]3,500 in^3 = 6.28*R^3[/tex]
[tex](3,500 in^3/6.28)^{1/3} = R = 8.2 in[/tex]
The approximate radius of the cylinder must be 8.2 inches.
If you want to learn more about cylinders you can read:
https://brainly.com/question/9554871
Each interior angle of a regular nonagon has a measure 13x+10°. What is x?
Answer:
Step-by-step explanation:
A nonagon has nine sides.
The sum of exterior angles = 360°, so each exterior angle is 360°/9 = 40°.
Each interior angle = 180°-exterior angle = 140°.
13x + 10° = 140°
x = 10°
Determine whether the equation represents direct, joint, or inverse variation. Then identify the constant.
t = 100/s
y/5 = x
p/qr = 4
C = 2πr
V = 1/3πr^2h
xy = 2/5
Find which of the following fractions is larger: 51) 2/5,1/3,1/15 A) 2/5 B) 1/3 C) 1/15
52) 3/12,2/6, 1/24 A) 3/12 B) 2/6 C) 1/24
There are 6 flavors of candy in a bag. The probability of randomly selecting strawberry is 1/4, lime is 3/16, lemon is 4/32, cherry is 1/8, and grape is 14/64. What is the probability of randomly selecting a piece of the 6th flavor?
Problem 1.(32 points) A random sample of 100 Uber rides in Chicago has on average 5.4miles per ride. Assume the distribution of the distance of Uber rides to be approximatelynormal with a standard deviation of 1.3 miles.(a) (5 points) Construct a 99% confidence interval for the average distance (in miles) ofan Uber ride. (round to one decimal place)(b) (4 points) What can we assert with 99% confidence about the possible size of our errorif we estimate the average distance of an Uber ride to be 5.4 miles
Answer:
a) CI = ( 5,1 ; 5,7 )
b) SE = 0,1
Step-by-step explanation:
a) Sample random n = 100
Mean = μ = 5,4
Standard deviation s = 1,3
CI = 99 % α = 1 % α = 0,01 α/2 = 0,005
z(c) for 0,005 is from z-table z(c) = 2,575
z(c) = ( X - μ ) /s/√n CI = μ ± z(c) * s/√n
CI = 5,4 ± 2,575* 1,3/10
CI = 5,4 ± 0,334
CI = ( 5,1 ; 5,7 )
b) SE = Standard deviation / √n
SE = 1,3 /10 SE = 0,1
We can support that with 99 % of probability our random variable will be in the CI.
(10x – 2) - (2x - 7)
O 8x + 5
O 12.2 + 5
o 12c - 9
O 83 -9
Answer:
the first one
8x+5
Step-by-step explanation:
10x-2-2x+7= 8x+5
PLEASE HELP !!!!!!!!!!!!
9514 1404 393
Explanation:
The figure will be a rectangle only if the angles between adjacent congruent sides are 90°.
__
Attached is an example of a quadrilateral with 3 congruent sides. It is not a rectangle, but could be an isosceles trapezoid if the top and bottom sides were parallel. It would be a parallelogram (rhombus) if opposite congruent sides were parallel.
Neville is making posters for a recycling project. If each poster is a rectangle that is 12.5 inches wide and 16 inches tall, what is the perimeter of one poster?
Answer:
The perimeter of one poster is 57 inches.
Step-by-step explanation:
The perimeter of a rectangle is given by:
[tex] P = 2(w + h) [/tex]
Where:
w: is the widht = 12.5 in
h: is the height = 16 in
Hence, the perimeter is:
[tex] P = 2(w + h) = 2(12.5 + 16) = 57 in [/tex]
Therefore, the perimeter of one poster is 57 inches.
I hope it helps you!
The teachers at Eastside High School were asked the number of years they have been teaching. The results are as follows.
3, 4, 9, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 9, 2, 10, 3, 10, 9, 7
Use the data to fill in the box-and-whisker plot below.
Answer:
I'm not your Slave
Step-by-step explanation:
do it yourself
85% of x is 51. Write an equation that represents the situation
Answer:
85%*x =51
Step-by-step explanation:
of means multiply
Hence,
85% times x =51
1 pts
So
Sales
SE
According to
the data given, sza
what is the
sales amount
when the
temperature is
18 degrees C?
Temperature
According to the Central Limit Theorem, which statements(s) are TRUE. There may be more than 1 correct answer. A. An increase in sample size from n = 16 to n = 25 will produce a sampling distribution for the sample means that has a smaller standard deviation. B. The larger the sample size, the more the sampling distribution of sample means will resemble a normal distribution C. The mean of the sampling distribution of sample means for samples of size n = 15 will be the same as the mean of the sampling distribution for samples of size n = 100. D. The mean of a sampling distribution of sample means is equal to the population mean divided by the square root of the sample size. E. The larger the sample size, the more the sampling distribution of sample means resembles the shape of the population.
Answer:
Options A, B and C are correct.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
From the Central Limit Theorem, we have that:
The larger the sample size, the closer to the normal distribution the distribution of sample means is.
No matter the sample size, the mean is the same.
The larger the sample size, the smaller the standard deviation.
The smaller the sample size, the larger the standard deviation.
So the correct options are:
A, B, C
solve the following equation for x: y = 2 x-5 , x + y = 4
Answer:
(3,1)
Step-by-step explanation:
Y=2x-5
x+y=4
substitute the answer for y in the first equation (2x-5) with the y in the second equation
x+(2x-5)=4
x+2x-5=4
3x-5=4
add 5 to both sides to isolate 3x
3x=9
x=3
To find y, replace x in either of the original equations and solve for y.
x+y=4
3+y=4
y=1
so, x=3, y=1
chech answer by subbing x and y values into either original equation.
y=2x-5
1=2(3)-5
1=6-5
1=1
or
x+y =4
3+1=4
4=4
uld observe for the entire population represented by the volunteers if all members of this population tasted, respectively, the yogurt with and without the added calcium. If we had used the more accurate software approximation for the degrees of freedom, how would the 90% confidence interval compare to the one constructed with the more conservative value for degrees of freedom
Answer:
hello your question is incomplete attached below is the complete question
answer : It would be narrower ( C )
Step-by-step explanation:
When The 90% confidence interval is compared to the one constructed ( i.e. one with a more conservative value for degrees of freedom ) it would be narrower and this is simply because the conservative df does not put into consideration the fractional part .
if a city with a population of 500,000 doubles in size every 64 years, what will the population be 256 years from now?
Answer:
8,000,000
Step-by-step explanation:
This is because 256 divided by 64 is 4, meaning 64 goes into 256 4 times. If 500,000 is being doubled every 64, it means that in 256 years, the population will have been doubled 4 times.
Meaning? Well...
500,000 x 2 = 1,000,000 = 64yrs
1,000,000 x 2 = 2,000,000 = 128yrs
2,000,000 x 2 = 4,000,000 = 192yrs
4,000,000 x 2 = 8,000,000 = 256yrs
This is 4 times.
so every time it's doubled, it means the sum of that number times 2.
I need help pleaseee
Answer:
H
Step-by-step explanation:
A certain test preparation course is designed to help students improve their scores on the USMLE exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 3 students' scores on the exam after completing the course:
15,20,18
Using these data, construct a 90% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal.
Answer:
The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).
Step-by-step explanation:
Average change in the sample:
[tex]M_{s} = \frac{15+20+18}{3} = 17.67[/tex]
Standard deviation of the sample:
[tex]s = \sqrt{\frac{(15-17.67)^2+(20-17.67)^2+(18-17.67)^2}{2}} = 2.52[/tex]
We have the standard deviation for the sample, so the t distribution is used.
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 = 3 - 1 = 2
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 2.92
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.92\frac{2.52}{\sqrt{3}} = 4.25[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 17.67 - 4.25 = 13.42
The upper end of the interval is the sample mean added to M. So it is 17.67 + 4.25 = 21.92
The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).
PLEASE HELP
3/4x - 7 = 3 (1/6x +1)
Solve the linear equation and determine whether it’s one solution or infinite solution or no solution
Answer:
One SolutionStep-by-step explanation:
[tex] \frac{3}{4} x - 7 = 3( \frac{1}{6} x + 1)[/tex]
[tex] = > \frac{3}{4} x - 7 = \frac{1}{2} x + 3[/tex]
[tex] = > \frac{3}{4} x - \frac{1}{2} x = 3 + 7[/tex]
[tex] = > \frac{3 - 2}{4} x = 10[/tex]
[tex] = > \frac{1}{4} x = 10[/tex]
=> x = 10 × 4
=> x = 40
Here,
The variable x whose only one value 40 will solve the equation.
Hence,
It has only one solution. (Ans)
What is the value of the following
expression when d=2?
3d + (2.d)-4
Answer:
6
Step-by-step explanation:
I used a calculator and the answer is 6
Find the 13th term of the arithmetic sequence 4x – 9, x – 16, -23 – 23,...
Answer: thumbs up
Step-by-step explanation:
If log 7 =0.845, find log (7200).
Answer:
corbet. orbet
Step-by-step explanation:
nsjebfndnjetjjcs
A record label surveyed 150 random visitors to its website to discover whether they prefer metal, rock, hip-hop, or jazz. The survey showed that 27 visitors preferred metal, 78 preferred rock, 21 voted for hip-hop, and 24 Liked jazz. If the company estimates sales of 3,000 copies a week at its online store, how many will likely be from the rock genre?* 520 1,500 2,100 1,560
Answer:
3,120
Step-by-step explanation:
Because...............
Find the value of x.
Answer:
13.8
Step-by-step explanation:
https://www.calculator.net/triangle-calculator.html
It gives you everything you need to know about the triangle
Easy question look at photo
Answer:
I would go with yes, since we know BC=UV
Step-by-step explanation:
Which of the following is the additive inverse of
1/2
Answer:
2
Step-by-step explanation:
1/2 x 2 = 1
Answer:
2
Step-by-step explanation:
beacuse 2/1 is actually 2
Urn 1 contains 3 blue tokens and 2 red tokens; urn 2 contains 2 blue tokens and 4 red tokens. All tokens are indistinguishable. You roll a die to determine which urn to choose: if you roll a 1 or 2 you choose urn 1; if you roll a 3, 4, 5, or 6 you choose urn 2. Once the urn is chosen, you draw out two tokens at random from that urn (no replacement). How many possible outcomes are possible
Answer:
RR = 0.4
RB = 0.3
BB = 0.22
BR = 0.30
Step-by-step explanation:
P( Urn 1 ) = 2/6 = 1/3
P( Urn 2 ) = 1 - 1/3 = 2/3
Urn 1 contains : 3 blue and 2 red
P( blue | urn 1 ) = 3/5 ( with replacement ) , P( blue | urn 1 ) = 3/4 ( without replacement )
P( red | urn 1 ) = 2 / 5 ( with replacement ) , P(red | urn 1 ) = 1/2 ( without replacement )
Urn 2 contains : 2 blue and 4 red
P ( blue | urn 2 ) = 1/3 ( with replacement ) , P( blue | urn 2 ) = 2/5 ( without replacement )
P ( red | urn 2 ) = 2/3 ( with replacement) , P( red | urn 2 ) = 4/5 ( without replacement )
Determine
i) Possible outcomes when two tokens are drawn from either Urn without replacement
RR = [[ ( 2/5 * 1/3 ) + ( 2/3 * 2/3 ) ] * [( 1/2 * 1/3 ) + ( 4/5 * 2/3 ) ]] = 0.4
RB = [[ (2/5 * 1/3 ) + ( 2/3 * 2/3 ) ] * [ ( 3/4 *1/3 ) + ( 2/5 * 2/3 ) ]] ≈ 0.3
BB = [[ ( 3/5 * 1/3 ) + ( 1/3 * 2/3 ) ] * [ ( 3/4 *1/3 ) + ( 2/5 * 2/3 ) ]] ≈ 0.22
BR = [[ ( 3/5 * 1/3 ) + ( 1/3 * 2/3 ) ] * [ ( 1/2 * 1/3 ) + ( 4/5 * 2/3 ) ]] ≈ 0.30
The perimeter of any polygon is the?
Choose a right answer :
a) Product of all the sides.
b) sum of the all sides.
c) sum of any two sides.
d) sum of the diagonals.
Answer:
B
Step-by-step explanation:
perimeter is the sum of all sides. it's the distance around the figure.
260 students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is shown. How many more girls prefer apple juice than boys
Answer:
We need a picture of the screen plz
Step-by-step explanation:
-6y+15= -27 what is y?
Answer:
y=7
Step-by-step explanation:
-6y= -27-15
-6y= -42
y=7
Answer:
‐6y= ‐27‐15
‐6y= ‐42
y= ‐42/‐6 minus minus sign will be cut
y=7
Stefan has a bag that contains 3 blue marbles and 5 red marbles only.What fraction of the marbles in the bag are blue?
Answer:
3/8
Step-by-step explanation:
vecause there are 8 in total and 3 of them are blue.
hope this helps