Answer:
The 14th term is 8,192
Step-by-step explanation:
Well we can see that it is multiplying every next term by 2.
2nd term : 1*2 = 2
3rd term : 2*2 = 4
4th term : 4*2 = 8
So, we can simply carry out this process.
5th term : 8*2 = 16
6th term : 16*2 = 32
7th term : 32*2 = 64
8th term : 64*2 = 128
9th term : 128*2 = 256
10th term : 256*2 = 512
11th term : 512*2 = 1024
12th term : 1024*2 = 2048
13th term : 2048*2 = 4096
14th term : 4096*2 = 8192
The 14th term is 8,192
Answer:
8192
Step-by-step explanation:
The rate is x2. Multiplying to the 14th term gets to 8192.
hope this helps!
HELLLPPPPPPPP!!!!!!!!
An experiment consists of randomly drawing a card from a standard deck and recording its color, then rolling a die and recording its value.
The following tree diagram shows the possible outcomes.
A 2-column tree diagram: card & die. The card column has B & R. B & R each branch to the numbers 1 through 6 in the die column.
What is the probability of selecting a red card and rolling a number less than 3?
Enter your answer as a reduced fraction, like this: 3/14
The experiment of rolling the dice and selecting a card is an illustration of probabilities
The probability of selecting a red card and rolling a number less than 3 is 1/6
How to determine the probability?From the figure, we have:
Total outcomes = 12
Red card with a number less than 3 = 2
So, the probability of selecting a red card and rolling a number less than 3 is:
p = 2/12
Simplify
p = 1/6
Hence, the probability of selecting a red card and rolling a number less than 3 is 1/6
Read more about probability at:
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help please thank you!!!
Answer:
3/4 · 1/4 = 3/16
Step-by-step explanation:
We can see from the picture that
yellow is
4 boxes out of the entire group of 16 boxes, hence 4/16
OR simplified
1 horizontal strip out or 4 total same horizontal strips, hence 1/4
blue is
12 boxes out of the entire group of 16 boxes, hence 12/16
OR simplified
3 vertical strips out or 4 total vertical strips, hence 3/4
The multiplication problem is
1/4 · 3/4 = 3/16 or 3/4 · 1/4 = 3/16
The result is 3 green boxes out of all 16 boxes.
(3/16 can not be simplified)
Find the Circumference ddddddddddddddddddddddddddddd
Answer:
25.12
Step-by-step explanation:
C = π2r
C = 3.14*2*4
C = 25.12
Hope this helps :)
A vessel is in the shape of a right circular cone. The
radius of the top is 8 cm and the height is 40 cm.
Water is poured into the vessel at a rate of 20 cm /s.
Calculate the rate at which the water level is rising
when
(i) the water level is 12 cm from the vertex,
(ii) the vessel is one-quarter full.
The conic water vessel of height 40 cm and radius 8 cm filled at 20 cm^3/s gives;
The rate at which the water level is rising when the water level is 12 cm from the vertex is approximately 1.1 cm/s.When the vessel is one-quarter filled the rate at which the water level is rising is approximately 0.21 cm/s.How can the water level rate be found?The volume of the vessel, v = π•r^2•h/3
[tex] \frac{h}{r} = \frac{40}{8} = 5[/tex]
h = 5•r
Therefore;
v = π•r^2•(h)/3 = π•(h/5)^2•h/3
v = π•h^3/75
By chain rule of differentiation, we have;
[tex] \frac{dv}{dh} = \frac{dv}{dt} \times \frac{dt}{dh} [/tex]
Which gives;
[tex]π• \frac{ {h}^{2} }{25} = 20 × \frac{dt}{dh} [/tex]
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {h}^{2} }{25} } [/tex]
When the height is 12 cm from the vertex, we have;
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {12}^{2} }{25} } = 1.1 [/tex]
The rate at which the water level is rising when the water level is 12 cm from the vertex is approximately 1.1 cm/s.When the vessel is one-quarter filled, we have;
v = π•h^3/75
π•(40)^3/(75×4) = π•h^3/75
10•(40)^2 = 16,000 = h^3
h = (16,000)^(1/3) = 25 (approx)
Which gives;
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {25}^{2} }{25} } = 0.21 [/tex]
When the vessel is one-quarter filled the rate at which the water level is rising is approximately 0.21 cm/s.
Learn more about rate of change here:
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i am stuck on this question please help me
Answer:
h = 8 units, b = 20 units
Step-by-step explanation:
h = 2 units
2 x 4 = 8
b = 5 units
5 x 4 = 20 units
Therefore, h = 8 units and b = 20 units
Hope this helps :)
find the next three terms of the sequence 2000,200,20,...and write the term to term rule.
Answer:
2, 0.2, 0.02
The first number is 2000. The term to term rule is 'divide by 10'.
Step-by-step explanation:
To calculate the next term, divide the previous term by 10:
2000 ÷ 10 = 200
200 ÷ 10 = 20
Therefore, the next three terms will be:
20 ÷ 10 = 2
2 ÷ 10 = 0.2
2 ÷ 10 = 0.02
Term to term rule
To work out the term to term rule, give the initial number of the sequence and then describe the pattern:
The first number is 2000. The term to term rule is 'divide by 10'.
Computer World ships
10 computer monitors at one time. The total mass of the shipment is
40 kilograms.
All of the monitors in the box have the same mass.
What is the mass of one of the computer monitors?
Answer:
4kg
Step-by-step explanation:
Computer World ships
10 computer monitors at one time. The total mass of the shipment is
40 kilograms.
All of the monitors in the box have the same mass.
What is the mass of one of the computer monitors?
10÷40=4kg
Answer:
4km
Step-by-step explanation:
Jade is going out for pizza with her friend.For 60 dollars how many pizzas can she buy if each pizza costs 12 dollars
Answer:
jade can by 5 pizzas
Estimate the difference.
Answer:
498. 498/6 = 83.
Step-by-step explanation:
PLS PLS PLS HELP ME!!!
Answer:
68.
Step-by-step explanation:
90-degree angles.
90 - 22 = 68.
Farm workers plant 980 beans in 35 rows. How many beans do they plant in one row
C.between which years would you guess the new stadium was built .explain your reasoning
Answer:
1996
Step-by-step explanation:
because the line chart started st 1996
What are the new coordinates of the figure above if it is rotated 90 degrees clockwise about the origin ?
A. A’(1,-3), B’(1,-7),C’(-3,-7),D’(-3,-3)
B. A’(-3,-1),B’(-7,-1), C’(-7,3) D’(-3,3)
C. A’(-3,-1),B’(-7,-1),C’(-7,3),D(-3,3)
D.A’ (1,-3),B’(1,-7),C’(3,-7),D’(3,-3)
Answer: A
Step-by-step explanation:
A board-game club meets each week at the local library. People bring different board games to play, like checkers and chess. Out of the 50 people that meet each week, 67% prefer to play checkers over chess. Construct an 83% confidence interval for the population mean of people that prefer to play checkers over chess.
Using the z-distribution, as we are working with a proportion, it is found that the 83% confidence interval is (0.5789, 0.7611).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have an 83% confidence level, hence[tex]\alpha = 0.93[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.83}{2} = 0.915[/tex], so the critical value is z = 1.37.
The other parameters are [tex]n = 50, \pi = 0.67[/tex].
Then, the bounds of the interval are given as follows:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 - 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.5789[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 + 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.7611[/tex]
The 83% confidence interval is (0.5789, 0.7611).
More can be learned about the z-distribution at https://brainly.com/question/25890103
Answer:
CI = (57.89%, 76.14%)
Step-by-step explanation:
First, solve for the 83% critical z-value (za/2). Second, solve for the margin of error. Third, solve for the confidence interval by subtracting and adding the margin of error with the sample probability of success.
The amount of time it takes for water to flow down a drainage
pipe is inversely proportional to the square of the radius of the
pipe. If a pipe of radius 1 cm can empty a sink in 22 seconds,
find the radius of the pipe that would allow the sink to drain
completely in 14 seconds.
PLEASE ANSWER FAST!
Using the proportional relationship, it is found that the radius of the pipe that would allow the sink to drain completely in 14 seconds is of 1.25 cm.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
In which k is the constant of proportionality.
If they are inverse proportional, the relationship is:
[tex]y = \frac{k}{x}[/tex]
In this problem, the amount of time is inversely proportional to the square of the radius of the pipe, hence:
[tex]t = \frac{k}{r^2}[/tex]
A pipe of radius 1 cm can empty a sink in 22 seconds, hence k = 22.
The radius for 14 seconds is:
[tex]t = \frac{k}{r^2}[/tex]
[tex]14 = \frac{22}{r^2}[/tex]
[tex]r^2 = \frac{22}{14}[/tex]
[tex]r = \sqrt{\frac{22}{14}}[/tex]
[tex]r = 1.25[/tex]
The radius of the pipe that would allow the sink to drain completely in 14 seconds is of 1.25 cm.
More can be learned about proportional relationships at https://brainly.com/question/25890103
which is larger 0.849 or 1.08
Answer:
the answer to this question is 1.08
giving brainlist please help me out
Answer:
681 m^3
Step-by-step explanation:
Winder only found part of the volume. He also needs to find the volume of the hemisphere.
I would first find the volume of the cylinder like Winder, then proceed to calculate the volume of the hemisphere, which is V = 4/3π(4^3)=27.16 m^3. The total volume inside the storage tank is 681 m^3 when rounded to the nearest cubic meter.
Spencer owns a taxi cab company. He charges customers a base fee of $5 and an extra $2 for each mile traveled. If F represents a customer's fare (in dollars) and d represents the distance traveled (in miles draw a graph representing the relationship between F and d
Answer:
Let F = customer's fare (in dollars)
Let d = distance traveled (in miles)
Given:
Base fee = $5Charge per mile = $2 per mileCreating an equation from given information:
F = 2d + 5
This is a linear equation, with slope of 2 and y-intercept of (0, 5)
**see attached graph**
Answer:
See below ↓
Step-by-step explanation:
Given :
Base fee = $5Per extra mile = $2Solving :
With F as the total customer fare and d is the distance covered the equation will be :-F = 2d + 5In terms of x and y, it can be written as :y = 2x + 5Graph is given belowSelect the correct answer.
Given the formula below, solve for x.
A.
B.
C.
D.
help me please
Answer:
C is the answer
Good luck! :)
UNIQUE
SIZE
What Does Cate Often
Call Her Twin Sister?
Answer:
a dupli-CATE
Step-by-step explanation:
HAHAHAHA OMG THIS IS ACTUALLY FUNNY
Amy earns £10.00 per hour. She gets a raise, and her new hourly rate is £11.50 What is the percentage change in her hourly rate?
Percentage Change = (new rate - old rate) / (old rate)
New Rate = 11.5
Old Rate = 10
(11.5 - 10) / 10
1.5 / 10 = 15 / 100 = 0.15 = 15%
The percentage change in her hourly rate is 15%.
Hope this helps!
Find the solution of the system of equations.
8x – 2y = -30
–9x + 4y = 18
Step-by-step explanation:
8x – 2y = -30 } ×2
16x - 4y = -60
–9x + 4y = 18
___________
7x=-42
x=-6
8(-6)-2y=-30
-2y=-18
y=9
Answer:
(-6,-9)
Step-by-step explanation:
The quickest way is to solve with elimination. Multiply the top equation by 2.
2(8x – 2y = -30)
16x-4y=-60
16x-4y=-60
–9x + 4y = 18
7x=-42
x=-6
8x – 2y = -30
8(-6) – 2y = -30
-48-2y=-30
-2y=18
y=-9
A student wants to survey the sophomore class of 200 students about whether the school should require uniforms. A
random sample of 50 sophomores is surveyed and asked whether they support the school adopting uniforms. Of
the 50 sophomores, 12 say they would favor school uniforms. Assuming the conditions for inference have been met,
what is the 90% confidence interval for the true proportion of sophomores who favor the adoption of uniforms?
0.24 +1.96
0.24(1-0.24)
200
O 0.7601.964
0.76(1 -0.76)
200
O 0.24 +1.657
0.24(1-0.24)
50
O 0.76 +1.95
0.76(1-0.76)
50
Answer: C
Step-by-step explanation:
Given:
Sample size (n) = 50
x = 12
[tex]\widehat{\mathbf{p}}=\frac{\mathbf{x}}{n}=\frac{12}{50}=0.24[/tex]
Confidence level = 90%
α = 1 − 0.90 = 0.10
α/2 = 0.05
[tex]\text { Critical value }\left(z_{c}\right)=z_{\frac{\alpha}{2}}=z_{0.05}=1.6449[/tex]
(from standard normal table)
90% Confidence interval is,
[tex]\begin{aligned}&\text { Confidence interval }=\widehat{\mathbf{p}} \pm z_{c} \times \sqrt{\frac{\hat{\mathbf{p}}(1-\hat{\mathbf{p}})}{n}} \\&\text { C. I }=0.24 \pm 1.6449 \times \sqrt{\frac{0.24(1-0.24)}{50}} \\&\text { C. I }=0.24 \pm 1.65 \times \sqrt{\frac{0.24(1-0.24)}{50}}\left\end{aligned}[/tex]
Therefore, 90% confidence interval for the true proportion of sophomores who favour the adoption of uniforms is C
if you could just tell me what I should say in the presentation, that would be great :) thx
Answer:
we're u asking for this
What is ur statistical question
Someone Help me please
Researchers randomly surveyed people at two amusement parks, Funland and Thrillville, to find out how many times they visit the park per year. Following are the data from the two surveys.
Funland: 4,1,2,1,5,6,3,2,4,3,2,6,1,3,2
Thrillville: 8,6,5,7,2,5,4,2,1,9,3,8,3,7,5,2,9,4,2,8
How many more times per year, on average, do people visit Thrillville than Funland?
On average, people visit Thrillville 2 more times per year than Funland.
AveragesTo determine how many more times per year, on average, do people visit Thrillville than Funland, the following calculation must be performed:
Funland: 4,1,2,1,5,6,3,2,4,3,2,6,1,3,2 = 4545 / 15 = 3Thrillville: 8,6,5,7,2,5,4,2,1,9,3,8,3,7,5,2,9,4,2,8 = 100100 / 20 = 55 - 3 = 2Therefore, on average, people visit Thrillville 2 more times per year than Funland.
Learn more about averages in https://brainly.com/question/2426692
Given the function g(x)=√x+4, which of the following values cannot be the domain of g?
A. X=1
B. X=2
C. X=12
D. X=-5
Answer:
D. x = -5
Step-by-step explanation:
The square root function is only defined for non-negative arguments. For the function ...
[tex]g(x)=\sqrt{x+4}[/tex]
this means we must have ...
x +4 ≥ 0
x ≥ -4 . . . . . . subtract 4 from both sides
All of the numbers on your answer choice list are more than -4 except -5.
x = -5 is not in the domain of g(x)
Mary walks to her garage. The distance to the garage as a function of time is shown in this graph
A. Mary starts 8 meters from the garage.
B. Mary walks 8 meters every 4 seconds.
C. Mary arrives at the garage after 4 seconds.
D. Mary walks at a speed of 2 meters per second.
Answer:
d
Step-by-step explanation:
so if you look at the bottom left corner you can see 1 box is the same as saying for every second someone walks its one metre.
thats not how i got the answer though.
if you look at the starting point at 8 because she was 8 meters away you need to see when she comes across her first second which after 2 meters (Goes down two squares before reaching the first second)
now technically soe of the other answers are correct too but heres how i thought about it.
A. its correct but i dont think that's what its asking you for tbh
B. This we don't know for sure. eg she could take 890 seconds walking back to her starting point we just don't know for sure.
C. This is also true but once again it's easily given to you so i dont think that's what you're being asked.
D. This is the only option where you had to do any for of working out because s=d/t so s=8/4=2m/s
7k^2=21,952
Volume of cylinders, cones, and spheres
What is the answer please
Answer:56Step-by-step explanation:7k²=21952
k²=21952/7
k²=3136
k=√3136
k=56
PLS MARK ME AS BRAINLIEST
Translate the following phrase to an expression: the difference between twenty and twice a number.
Answer:
20 - 2n
n = a number