Answers
Answer:
½√2
Step-by-step explanation:
∑ₙ₌₀°° (-1)ⁿ π²ⁿ / (4²ⁿ (2n)!)
∑ₙ₌₀°° (-1)ⁿ (π/4)²ⁿ / (2n)!
Using the Taylor expansion for cos x:
cos (π/4)
½√2
Related Questions
Find the measures of Angles A,B, and C
Answers
Answer:
A = 102 B = 78 C = 56
Step-by-step explanation:
All three sides of a triangle added up equals 180.
So 41 + 37 + A = 180
A = 102
A straight line = 180 degrees.
One measurement is 102, so the other is 78.
You now know B is 78, and that 3 angles equal 180.
46 + 78 + c = 180
c= 56
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.) x −41 −27 −8 −3 P(X = x) 0.29 0.35 0.21 0.15
Answers
Answer:
a) Mean is -23.47
b) Variance is 206.59
c) standard deviation is 14.37
Step-by-step explanation:
Given that;
x −41 −27 −8 −3
P(X = x) 0.29 0.35 0.21 0.15
X.P -11.89 -9.45 -1.68 -0.45
a) mean
Mean = ∑X.P = -11.89 + -9.45 + -1.68 + -0.45
Mean = -23.47
b) the variance
E(x²) = ∑x²P(X=x)
= (−41²×0.29) + (−27²×0.35) + (−8²×0.21) + (−3²×0.15)
= 487.49 + 255.15 + 13.44 + 1.35
= 757.43
So
Var(X) = E(x²) - [∑X.P]²
Var(X) = 757.43 - [-23.47]²
= 757.43 - 550.8409
= 206.5891 ≈ 206.59
Therefore Variance is 206.59
c) standard deviation
standard deviation SD(X) = √Var(X)
SD(X) = √206.5891
= 14.3732 ≈ 14.37
Therefore standard deviation is 14.37
which equation is equivalent?
Answers
Answer:
C
Step-by-step explanation:
3*2x=6x
3*-4=-12
4x+6x=10x
I will give brainliest :)
Write an equation to represent the following situation.
You go to Montgomery's and have $10 to spend.
Drinks cost $2, a bag of chips costs $1, and a pack of
gum costs $0.50. If you buy four bags of chips, how
many drinks can you buy?
•4 + 2x = 10
•2x + 1 = 10
•4 + 2x = 0.50
•1+ 2+ 4 = 10
Answers
Answer:
4 + 2x = 10
x = 3
Step-by-step explanation:
so you can buy 3 drinks
PLEASE HELP PLEASE i really need help
Answers
Answer:
The constant of proportionality is 6 because 6x2=12 6x4=24 6x6=36 and it keep going
Step-by-step explanation:
Frank’s Pizzeria has a champion pizza eater named Sandy who can eat 61⁄2 slices in 2 minutes. Kelly’s Pizzeria has a champion pizza eater named James who can eat 3 slices in 11⁄2 minutes. Who can eat more pizza in 1 minute?
Use a number line to show the difference between the amounts of pizza eaten by the two competitors in one minute.
pls help i really need this answer
Answers
Using number line, the difference in the amount of Pizza they ate is 0.75
What is the difference between the amounts of pizza eaten by the two competitors in a minute?To compare the amounts of pizza eaten by Sandy and James in 1 minute, we need to first calculate how many slices they eat in 1 minute.
Sandy can eat 6.5 slices in 2 minutes, which means she can eat 6.5/2 = 3.25 slices in 1 minute.
James can eat 3 slices in 1.5 minutes, which means he can eat 3/(1.5/2) = 4 slices in 1 minute.
Therefore, James can eat more pizza in 1 minute than Sandy.
To show the difference on a number line, we can mark 3.25 and 4 on the line, and subtract 3.25 from 4 to get the difference:
0 1 2 3 4
|---------|---------|---------|---------|
Sandy: 3.25
James: 4
Difference: 0.75
So the difference between the amounts of pizza eaten by James and Sandy in 1 minute is 0.75 slices.
Learn more on number line here;
https://brainly.com/question/12399107
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(8.2k - 6) - (4.5 - 9k)
Answers
Answer: -5.3k-6
Step-by-step explanation: I dont know if its correct but this is what i got (i hope this helps:)
105 people must be split into 3 equal groups. How many people in each group?
Answers
Answer:
35 people in each
Step-by-step explanation:
105÷3=35
Kelly is six years younger than her sister for some of their age is 34 years how old is Kelly and how old is her sister?
Answers
Answer:
If her sister is 34 then Kelly will have to be 28
Jill and Katie are making bracelets to sell at The Windmill. They determined that each bracelet would have six beads and four charms.How many bracelets can they sell if they have 80 charms? show all work
Answers
Answer:
20 bracelets
Step-by-step explanation:
Since they must use 4 charms per bracelet, 80 divided by 4 is 20 so 20 bracelets can be made.
If ABC=DEC b=48degree and E=x+4
X=
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]x + 4 = 48[/tex]
Subtract sides 4
[tex]x +4 - 4 = 48 - 4[/tex]
[tex]x = 44°[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
romona has $800 in her bank account
Answers
Um not sure what you're asking for bud you didn't finish.
Answer:
Okay?????? I don't think you finished
What is a mutual fund’s
Answers
A pool of money where investors buy shares and a fund manager invests them and gives the investor the return; the way that most Americans invest their money because of the ease. hope that helps!
For the function below, find ordered pairs for: x = -2 and x = 5 y = 9 - 4x
Answers
Answer:
(- 2, 17 ) and (5, - 11 )
Step-by-step explanation:
Given
y = 9 - 4x
Substitute the given values of x into the equation and evaluate for y
x = - 2, then
y = 9 - 4(- 2) = 9 + 8 = 17 ⇒ (- 2, 17 ) ← ordered pair
x = 5, then
y = 9 - 4(5) = 9 - 20 = - 11 ⇒ (5, - 11 ) ← ordered pair
The tensile strength of paper is modeled by a normal distribution with a mean of 35 pounds per square inch and a standard deviation of 2 pounds per square inch.
Required:
a. What is the probability that the strength of a sample is less than 38 lb/in²?
b. If the specifications require the tensile strength to exceed 30 lb/in², what proportion of the samples is scrapped?
Answers
Answer:
a) the probability that the strength of a sample is less than 38 lb/in² is approximately 0.9332
b) approximately 0.62% of the sample are scrapped
Step-by-step explanation:
a)
What is the probability that the strength of a sample is less than 38 lb/in²?
lets X rep the paper tensile strength in pounds per square inch.
the probability that the strength of the sample is less than 38 lb/in²
i.e P( X < 38 )
so assuming that X is normally distributed with u = 35 lb/in² and α = 2 lb/in²,
so the probability expression P( X < 38 ) can be standardized as
P( X < 38 ) = P( (X-35)/2 < (38-35)/2)
= P( X < 1.5 )
from the cumulative standard normal distribution table,
we find P( X < 1.5 ) = 0.9332
so
P( X < 38 ) = P( X < 1.5 )
= 0.9332
therefore the probability that the strength of a sample is less than 38 lb/in² is approximately 0.9332
b)
If the specifications require the tensile strength to exceed 30 lb/in², what proportion of the samples is scrapped?
this can be represented as P( X < 30 )
By standardization the probability expression P( X < 30 ) can be transformed as;
P( X < 30 ) = P( (X-35)/2 < (30-35)/2)
= P( z < -2.5 )
from the cumulative standard normal distribution table,
we find P( X < -2.5 ) = 0.0062
so
P( X < 30 ) = P( X < -2.5 )
= 0.0062
therefore, approximately 0.62% of the sample are scrapped
A public parking garage charges $5, plus an additional $2 per hour.
Choose the graph of the line relating parking costs to time (in hours).
Answers
Answer:
y=2x+5
Step-by-step explanation:
Answer:
you might not need the answer now, but for anyone else its a and part a is y=2x+5
Step-by-step explanation:
help lol due tonight
Answers
Answer:
Can't see your questions clearly
Step-by-step explanation:
Which of the following values are solutions to the inequality 1 < 4x-3
Answers
Answer:
x>1 (inequality form)
(1,∞)
Step-by-step explanation:
Hope this helped :)
4x+c=w make x a subject
plz help me
answer me fast
and i want answer kn step by step
Answers
Answer:
x =w-c/4
Step-by-step explanation:
solution
here,
4x+c=w
or, 4x=w-c
:.x=w- c/x
As x subject, the linear equation is x = 1/4(w -c).
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
We have a linear equation,
4x+c=w.
To make x a subject:
4x = w - c
x = 1/4(w -c)
Therefore, the expression is x = 1/4(w -c).
To learn more about the linear equation;
https://brainly.com/question/29739212
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72.05-29.69?????????????????
Answers
Answer:
42.36
Step-by-step explanation:
Big boi questions just use the caculator
In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00. Find the probability of winning if you pick the number 30 and it comes up on the wheel. Round your answer to 3 decimal places. Answer:
Answers
Answer:
Step-by-step explanation:
Total out come is 38
Favorable outcome is 1
Probability is 1/38 ≈ 0.026
The probability of winning if you pick the number 30, and it comes up on the wheel, will be 0.026.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00.
Then the total number of the event will be
Total event = 38 {0, 00, 1, 2, …, 36}
Then the probability of winning if you pick the number 30, and it comes up on the wheel will be
Favorable event = 1 {30}
Then the probability will be
P = 1 / 38
P = 0.026
More about the probability link is given below.
https://brainly.com/question/795909
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Bicycle club went on a six hour ride the graph below shows the relationship between the number of hours spent on the trails and the number of miles traveled which statement interprets information provided by the graph
Answers
Choose the definition for the function PLS HELP
Answers
Answer:
Which function please explain
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?
He estimated that he had about $7 worth of groceries.
He estimated that he had about $9 worth of groceries.
He estimated that he had about $10.30 worth of groceries.
He estimated that he had about $10.40 worth of groceries.
Answers
Answer:
He estimated there were about $10.40 worth of groceries
Step-by-step explanation:
You want to round the prices up to the nearest tenth and then add them all.
3.50
3.50
1.15
1.15
1.15
___
10.45
So 10.45 is closest to 10.40 and you have to remeber that this is just an estimate so it will be less because we rounded the answer up.
Hope this helps
Answer:
$9 its be heres my work
Step-by-step explanation:
Gallon of milk: $3.49
3lbs oranges: $1.14(3) = $3.42
Box of cereal: $3.46
Front end estimation is taking the number in front and the rest of the numbers coming after it will be zeroes.
Using front end estimation:
$3.49 => $3.00
$3.42 => $3.00
$3.46 => $3.00
Add all these up; Shen estimated the total cost of the groceries would be $9.00.
The most common type of harmony in the Baroque Period was:
a
Polyphony
b
Monophony
c
Homophony
*please None i will give you 12 points*
Answers
Question:
The most common type of harmony in the Baroque Period was
answer: Harmony came to be thought of as chords that laid the foundation for the melody. Major and minor as we know them today became established as keys instead of modes, and the harmonic patterns of tonality began to evolve. hmm
Polyphony is having multiple voices, harmony is how those multiple voices interact and relate to each other. Polyphony doesn't necessarily mean playing at the same time either, just the act of having multiple voices in a piece. Melodic independence and consonant treatment. so i think it is A.Polyphony
The policy of the Kauderman's pawnshop is to lend up to 30% of the value of borrower's collateral. Tommy wants to use a pair of $500 Jeans and $1,000 sunglasses as collateral for a loan. What is the maximum amount that he could borrow from Kauderman?
Answers
Answer:
30/100×$1500 = $450
Step-by-step explanation:
Tommy needs total capital of $1500 and he wants to lend 30% of loan from kaunderman, which is calculated as above.
College Algebra Half Life Problem
Recently, while digging in Chaco Canyon, New Mexico, archaeologists found corn pollen that was 4000 years old. This was evidence that Native Americans had been cultivating crops in the Southwest centuries earlier than scientists had thought.
What percent of the carbon-14 had been lost from the pollen?
(half-life of carbon-14 = 5730)
Answers
The sum of the number and three times its reciprocal is 79/10. Find the
number.
Answers
hi
so x + 3 (-x) = 79/10
x-3x = 79/10
-2x = 79/10
x = 79/10 / -2
X = 79/ 10 * -1/2
x = - 79/20
x = - 3.95
What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?
Answers
Answer:
Step-by-step explanation:
577.144
What is the value of f(0)?
A. -2
B.-1
C.0
D.1
Answers
Answer:
The answer is C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
f(0) means the graph of f(x) in which the value of the variable x in the function f is zero.. So, f(0) represents graph for zero value of x