Use summation notation to write the series -1+2-4+8-16... for 12 terms
Answer:
The first 12 terms of the series are represented by:
[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]
Step-by-step explanation:
The summation notation for the series [tex]-1 + 2 -4 + 8 -16...[/tex] is represented by the expression [tex]f(n) = \Sigma\limits_{i = 1}^{n} [(-1)^{n} \cdot 2^{n-1}][/tex].
The first 12 terms of the series are represented by:
[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]
A national manufacturer of ball bearings is experimenting with two different processes for producing precision ball bearings. It is important that the diameters be as close as possible to an industry standard. The output from each process is sampled and the average error from the industry standard is measured in millimeters. The results are presented next.
Process A Process B
Sample mean 2.0 3.0
Standard deviation 1.0 0.5
Sample size 12 14
The researcher is interested in determining whether there is evidence that the two processes yield different average errors. The population standard deviations are unknown but are assumed equal. If What is the decision if we use 1% level of significance?
a. Fail to reject the null hypothesis and conclude the means are different.
b. Reject the null hypothesis and conclude the means are different.
c. Fail to reject the null hypothesis and conclude the means are the same.
d. Reject the null hypothesis and conclude the means are the same.
Answer:
b). Reject the null hypothesis and conclude the means are different.
Step-by-step explanation:
A hypothesis is characterized as null when the data/statistics display that there is no distinction between the particular features of the groups. As per the details provided, the decision would be to 'reject/deny the null hypothesis and deduce that the means of the processes are different.' This shows that there is no association among the variables due to the distinction in the means of the two processes and other data provided. Thus, option b is the correct answer.
Jason drove 8 4/5 miles to a subway station. He then 15 /6 miles by taxi to attend a meeting. How many total miles did he travel?
Answer:
Option A: (23 + 29/30) miles
Step-by-step explanation:
Here we just need to add two mixed numbers.
(8 + 4/5) miles and (15 + 1/6) miles.
To add these, we just separate between the whole part and the fraction part:
(8 + 4/5) miles + (15 + 1/6) miles
= (8 + 4/5 + 15 + 1/6) miles
= (8 + 15 + 4/5 + 1/6) miles
= (23 + 4/5 + 1/6) miles
Now we need to find a common multiple between 6 and 5.
So, only analyzing the fraction part of the sum, we can rewrite:
4/5 + 1/6
= 4/5*(6/6) + 1/6*(5/5)
(notice that we are multiplying both numbers by one, so we do not change the expression's value)
= (4*6)/(5*6) + (1*5)/(6*5)
= 24/30 + 5/30
So now both fractions have the same denominator.
Then, replacing that in the sum equation we get:
(23 + 4/5 + 1/6) miles = (23 + 24/30 + 5/30) miles
= (23 + 29/30) miles
Then the correct option is option A.
Classify each triangle by side length and angle measure.
Answer:
Below.
Step-by-step explanation:
1. Isosceles.
2. Scalene
3. Equilateral.
4. Right triangle.
Help guys plzzzz I’ll part you brainlist !!!!
Answer:
> is the answer because 10 × X > 80
45 basketball players participate in a tournament there are a total of 15 teams that will play write and solve an equation of number players on each team
Answer:
3
Step-by-step explanation:
45 players / 15 teams = 3 people per team
Calculate the area between the two circles, as shown if the smaller radius is 3 and the larger radius is 11
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Answer:
112π ≈ 351.9 square units
Step-by-step explanation:
Assuming the smaller circle is wholly contained within the larger circle, the difference of their areas is ...
ΔA = (π·11²) -(π·3²) = π·(121 -9) = 112π ≈ 351.9 . . . square units
__
The formula for the area of a circle is ...
A = πr²
find the length of a segment indicated. Round your answer to the nearest tenth if necessary. NO LINKS.
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Answer:
8. C) 24.2
9. A) 8.1
Step-by-step explanation:
8. The radius is shown as being 7.8 +4.3 = 12.1, so the diameter x is ...
d = 2r
x = 2(12.1) = 24.2
__
9. The unknown leg (y) of the right triangle can be found from the Pythagorean theorem.
y² +11.7² = 12.5² . . . . . the radius is half the diameter
y = √(156.25 -136.89) = √19.36 = 4.4
Then the segment of interest is ...
x + y = 12.5
x = 12.5 -4.4 = 8.1
Answer:
the length of a segment indicated.
A) lThere is a wooden storage unit inside of the garage. It is shaped like a rectangular prism
with the following dimensions: length = 3 feet, width = 5.5 feet and height = 2.5 feet.
What is the volume of the storage unit? Show your work
Question 5(Multiple Choice Worth 5 points)
(07.04 LC)What is the solution to the equation 1/4x=5?
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Answer:
x = 20
Step-by-step explanation:
Multiply both sides of the equation by 4 to make the coefficient of x be 1. This will show you the solution.
4(1/4)x = 4(5)
x = 20
plz help me this for my grade
Answer:
[tex]\text{Equation: }V=5\cdot 4\cdot 6,\\\text{Volume: }120\:\mathrm{in^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex].
Thus, we have the equation:
[tex]V=5\cdot 4\cdot 6[/tex]
Solving, we get:
[tex]V=5\cdot 4\cdot 6=\boxed{120\:\mathrm{in^3}}[/tex].
Answer:
120
Step-by-step explanation:
length time width time height
6 times 4 times 5
would be you equation the 120 would be your volume
Please help me find 'x' your help would be much appreciated
-Thanks
Answer:
x=25.
Step-by-step explanation:
We know because of corresponding angles, the sum of the angle adjacent to (2x-5) and (2x-5) is 180 degrees
2x-5+5x+10=180
7x+5=180
7x=175
x=25
someone please help!! will reward brainliest!
Add 7 to both sides seems like the best next step.
If not then add 9.
Tell me if i'm wrong
Answer:
Add 7 to both sides
I think that's the answer
Which statement is the best reason that the author includes conversations with the dog in the book Travels with Charley? A. It shows that a dog really is a man’s best friend. B. This dog is unusually responsive to people. C. It presents an alternative way for the author to show his thoughts. D. The author cannot find any people to talk to.
Answer its b because im right
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Does the commutative property work for subtraction and division?
no
yes
Answer:
NO!
Step-by-step explanation:
:-p
Options are:
80
45
90
100
=>x+45+45=180°
=>x+90=180°
=>x=180°-90°
=>x=90°
WILL
GIVE
BRAINLIST
...
..
MATH
Answer:
+213
Because its above sea level it means positive but if it is below sea level it is negative.
Help set up the equation :D the answer in the answer box is wrong
Solve for x in this equation: 3/4+ |5-x| = 13/4
Answer:
x = 2.5 or 7.5
Step-by-step explanation:
Subtract 3/4.
|5 -x| = 10/4 = 2.5
This resolves to two equations:
5 -x = 2.5 ⇒ x = 5 -2.5 = 2.55 -x = -2.5 ⇒ x = 5 +2.5 = 7.5The solutions are x = 2.5 or 7.5.
Solve for p.
p + 36 = 73
p =
Answer:
p=37
Step-by-step explanation:
to get p by its self, you would do:
p+36=73
-36=-36
p=37
Answer:
37
Step-by-step explanation:
Gordon types 2,508 words in 38 minutes. Find the unit rate. Gordon types words per minute.
Answer:
66 words per minute
Step-by-step explanation:
In 38 minutes , words that can be typed by Gordon = 2508 words
In 1 minute, words that can be typed by Gordon = 2508/38
= 66 words
Therefore Gordon types 66 words per minute.
hope it helps :)
Answer:
66
Step-by-step explanation:
To find the unit rate you would need to find how many words Gordon can type in one minute. To do that, all you need to do is divide 2,508 by 38 (which would get you 66 words). If you set up a proportion to solve this it would look somewhat like 2,508/28 = 66/1.
~ ~
HURRYYYYYYYY
If x 3 = -27, then what is x?
-9
-3
3
9
Answer:
Step-by-step explanation:
x/3=—27/3
Therfore, x=-9
A
Donnie is packing for a
camping trip. He plans to bring 2 pairs
of shorts and 4 t-shirts. How many
different outfit combinations can he
make?
(No links please :D)
Answer:
8
Step-by-step explanation:
4x2=8
OKK PLEASE HELP if correct will give brainliest help and 5 star pls help by 1230 pt
A researcher wishes to test whether the mean of a normally distributed population is greater than 1.06 at the 5% significance level. Based upon 22 independent observations, she observes a sample mean of 1.77 and a sample standard deviation of 0.84. Determine the critical value of the test rounded to the nearest hundredth. (Rounding counts!).
Answer:
t- critical value =1.721
Step-by-step explanation:
Given
Sample size =n=22
Degree of freedom = sample size -1 = 22-1 =21
The significance level is 5%. This indicates that the test is right tailed.
The alpha value = 0.05
For given right tailed test, with value of alpha = 0.05 and degree of freedom = 21, the t- critical value =1.721
5. What is the value of 8 in the unit circle below?
30°
600
b.
45°
d.
90°
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Answer:
θ = 60°
Step-by-step explanation:
The angle is more than 45° and less than 90°. The only viable choice is ...
θ = 60°
__
We can only read the x-coordinate of the point on the terminal ray. It is 1/2, which is the cosine of 60°. The angle must be 60°.
what is the best estimate for 5 and 382?
a. 900
b. 500
c. 2,000
d. 3,000
Answer:
I think choose b. 500
Samantha is comparing scooter prices with two different DC scooter companies. With the UBER scooters, the equation c = 1.80m gives the relationship between m, the number of minutes per ride, and the total cost, in dollars. With the LYET scooters, the cost of 5 minutes is $3.75 and the cost of 10 minutes is $7.50. If Samantha rides for 12 minutes, how much money would she save by renting the less expensive scooter? Explain your reasoning.
Answer:
yes!
Step-by-step explanation:
5 fractions with denominator of 1 between 0 and 1/14
Answer:
Are there options to choose from?
Step-by-step explanation:
URGENT NEED HELP CLICK TO SEE
Answer:
D
Step-by-step explanation:
Can I have Brainliest? I hope this helped and have a nice day!!!
Work:
64 / 2 = 32
3/4 / 2 = 3/8
3/4 = 6/8
6/8 / 2 = 3/8
Final answer 32 3/8