Answer:
63.62
Step-by-step explanation:
pie X r^2
Please find the square roots of the following complex number.
[tex]z = 81(\cos(\frac{4\pi}{9})+i\sin(\frac{4\pi}{9}))[/tex]
Hey there,
First, find the square root of the given equation.
[tex]\sqrt{z}=\sqrt{81(\text{cos}(\frac{4\pi}{9})+i\text{sin}(\frac{4\pi}{9})}\\=9\text{cos}\frac{1}{2}(2k\pi+(\frac{4\pi}{9}))+i\text{sin}\frac{1}{2} (2k\pi+(\frac{4\pi}{9}))[/tex]
Keep in mind that this is solved for k = 0 and 1.
Second, simplify.
[tex]=9\text{cos}(\frac{2\pi}{9})+i\text{sin}(\frac{2\pi}{9})~\text{or}~9\text{cos}(\frac{11\pi}{9})+i\text{sin}(\frac{11\pi}{9})[/tex]
Best of Luck!
Trisha and Beth are going to play a couple video games. Trisha has her favorite and beth has adifferent favorite. if 2 games are chosen at random out of the total games, what is the chance that both of their favorites are chosen?
Answer:
2/12 or 1/6
Step-by-step explanation:
12 games total
they have 2 games that are there favorite
a culture of bacteria has an initial population of 2100 bacteria and doubles every 4hours. using the formula Pt = P0 • 2 t/d, where Pt is the population after t hours, P0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 11hours, to the nearest whole number?
Answer:14127
Step-by-step explanation:
Po=2100
T=11
D=4
Pt=po•2 t/d
Pt=2100•2 11/4
Pt=14127.0598=14127
8th grade math, explain if you can please.
Answer:
I'm pretty sure that the answer is 1.76?
Step-by-step explanation:
The formula is this tho:
V=πr^2h
What is 3b-16=50? Please figure out what B is, thanks.
Answer:
b = 22
Step-by-step explanation:
3b-16=50
3b = 66
b = 22
Answer:
b = 22
Step-by-step explanation:
The first step to solve this is to get rid of -16. You can do this by adding 16 to both sides (since addition is the opposite of subtraction). You'll get 3b=66.
After you get rid of the -16, you want to isolate the variable. Because there is a coefficient/number in front of the variable, you want to divide in order to get rid of it. In order to do that, you divide both sides by 3.
3b/3 = b and 66/3 = 22
After that, you will get b = 22.
You can even check this by plugging 22 as b.
3 x 22 = 66
and 66 - 16 = 50
"Debby" is a photographer. She sells small prints for$50 and large prints for $75. How many large prints did she sell?
she didn't sold any large print that is the price on how she sells the prints
What is the interest you will pay if you borrowed $120 at 5% interest for 6 years?
Answer:
Hope this helps!
Step-by-step explanation:
We will need the loan payment formula:
That formula is really complex and we expect you to solve it.
Your monthly payment would be $1.93 per month for 6 years making the TOTAL loan cost 1.93 * 12 * 6 = 138.96
Since the principal you borrowed is $120 the total interest =
(138.96 minus 120.00) which equals $18.96
Answer:
The answer is 36
Step-by-step explanation:
120*0.05=6
6.6=36
Pls help I’ll brainlest and add extra points
Answer:
11) m<8
12) a<-64
13) f<140
14) t> or equal to 150
15) g<-18
16) y< or equal to -16
17) a> or equal to 16
Step-by-step explanation:
hope this helps
Suppose that Stephen is the quality control supervisor for a food distribution company. A shipment containing many thousands of apples has just arrived. Unknown to Stephen, 13% of the apples are damaged due to bruising, worms, or other defects. If Stephen samples 10 apples from the shipment, use the binomial distribution to estimate the probability that his sample will contain at least one damaged apple. Select the true statement.
A. Stephen can use a sample of size 10 to reliably determine if the truck load contains damaged apples.
B. Stephen could use a sample of size less than 10 to reliably determine if the truck load contains damaged apples.
C. Stephen could have used a normal approximation to determine this probability.
D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
E. Stephen should sample with replacement so that the probability is exactly binomial.
Answer:
D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
Step-by-step explanation:
We have probability of having damaged apple = 13%
= 13/100
= 0.13
Sample size n = 10
Using the binomial distribution
P(X=x) = nCx * P^x(1-P)^n-x
Probability sample will have at least one damaged apple
= P(X>=1) = 1-p(x<1)
= 1 - P(X=0)
= 1-(10C0 *P⁰(1-0.13)¹⁰
= 1 - 1(1-0.13)¹⁰
= 1 - 0.87¹⁰
= 1 - 0.2484
= 0.7516
The answer is option D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
What is 1,650,000,000 in scientific notation?
Answer:
[tex]1.65*10^{2}[/tex]
Step-by-step explanation:
what is the value of k if - 2/3(k - 6) = 3/2(k+6)
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: -30/13
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Two students share 3/4 of a pound of peanuts. How much of a pound does each person get
Which of the following sets represents continuous data?
A. {1, 2, 3, ...)
B. (4,7)
C. {5, 13, 16, 20, 30)
D. {..., -9, -6, -3}
Answer:
option A is your answer okk
1. Alice invests $1000 at 2% interest compounded monthly over a 5 year period. Assuming no other money is deposited or withdrawn, what is the total amount of money in her account after 5 years? (Round to the nearest cent)
Answer:
$1,105.08.
Step-by-step explanation:
Given that Alice invests $ 1000 at 2% interest compounded monthly over a 5 year period, assuming no other money is deposited or withdrawn, to determine what is the total amount of money in her account after 5 years, the following calculation must be performed:
X = 1,000 (1 + 0.02 / 12) ^ 5x12
X = 1,105.08
Thus, the amount of money in her account after 5 years would be $ 1,105.08.
I need help with this!!
9514 1404 393
Answer:
C y = -5x +6
Step-by-step explanation:
It often works well to try the answer choices and see what works.
Using the first point, we find ...
A y = -1/5(-2) +6 ≠ 16
B y = 6(-2) -1/5 ≠ 16
C y = -5(-2) +6 = 16 . . . . . this equation works
D y = 6(-2) -5 ≠ 16
__
You can also go to the trouble to determine the equation. The slope can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (11 -16)/(-1 -(-2)) = -5/1 = -5 . . . . . tells you C is correct
The y-intercept can be found from ...
b = y -mx
b = 16 -(-5)(-2) = 16 -10 = 6
Then the equation is ...
y = mx + b
y = -5x +6 . . . . . matches choice C
-7/9x9/8 what is the answer
Which statement best describes the function?
O A. The function is increasing when x < 0.
B. The function is decreasing when x > 0.
C. The function is never increasing.
D. The function is always increasing.
Answer:
D. The function is always ingcreasing
In a triangle, JKL,< J measures 35 degrees and k is a right angle. What's the measure of l.
Answer:
55°
Step-by-step explanation:
180 - 35 - 90 = 55°
Answer:
55 degrees
Step-by-step explanation:
Hello There!
If you didn't know the measure of all of the angles in a triangle have a sum of 180
So to find a missing angle we subtract the two given angles from 180
We are given that one angle = 35 degrees
and another angle is a right angle
(a right angle measure 90 degrees)
Given this information we can find the missing angle of I
angle I = 180 - 90 - 35
180 - 90 - 35 = 55
so we can conclude that the measure of angle I is 55 degrees
2.
Select the correct answer.
The national apple growers organization recently released its first crop of a new apple variety. It gathered data on the weight of the new apples.
It found a population mean of 4.85 ounces and a standard deviation of 0.92. Each sample size was 500 apples. By the central limit theorem,
which interval do 99.7% of the sample means fall within?
OA.
4.81 and 4.89
OB.
4.73 and 4.97
Ос. .
4.84 and 4.86
OD
4.77 and 4.93
Answer:
B. 4.73 and 4.97
Step-by-step explanation:
To solve this question, we need to understand the Empirical Rule and the Central Limit Theorem.
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
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.
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.
Standard deviation of 0.92, sample of 500:
This means that [tex]\sigma = 0.92, n = 500, s = \frac{0.92}{\sqrt{500}} = 0.04[/tex]
By the central limit theorem, which interval do 99.7% of the sample means fall within?
Within 3 standard deviations of the mean. So
4.85 - 3*0.04 = 4.85 - 0.12 = 4.73
4.85 + 3*0.04 = 4.85 + 0.12 = 4.97
So, option B.
Answer:
4.73 and 4.97
Please give me brainliest, I really need it.
***************************
Is it right ????????
Answer:
yeah
Step-by-step explanation:
HELP ASAP !! i’ll give you the brainliest answer as long it’s correct plsss helpp
Answer:
its b, and why does everyone want brainllest
Step-by-step explanation:
Answer:
Answer option 2
Step-by-step explanation:
Tennis Replay In the year that this exercise was written, there were 879 challenges made to referee calls in professional tennis singles play. Among those challenges, 231 challenges were upheld with the call overturned. Assume that in general, 25% of the challenges are successfully upheld with the call overturned. a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231. b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high
Answer:
a. 0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.
b. 231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.
Step-by-step explanation:
For each challenge, there are only two possible outcomes. Either it was overturned, or it was not. The probability of a challenge being overturned is independent of any other challenge. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Significantly high:
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
If a value is more than 2.5 standard deviations above the mean, this value is considered significantly high.
25% of the challenges are successfully upheld with the call overturned.
This means that [tex]p = 0.25[/tex]
879 challenges
This meas that [tex]n = 879[/tex]
a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231.
This is P(X = 231). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 231) = C_{879,231}.(0.25)^{231}.(0.75)^{648} = 0.0209[/tex]
0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.
b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high
The mean is:
[tex]E(X) = np = 879*0.25 = 219.75[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{879*0.25*0.75} = 12.84[/tex]
[tex]219.75 + 2.5*12.84 = 251.85 > 231[/tex]
231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.
Find the slope of a line that passes through the following points (3,2) (5,-3)
A. 2/5
B. 5/8
C. -5/2
B. -5/8
Answer:
C
Step-by-step explanation:
Use the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (-3 - 2) / (5 - 3)
m = -5/2
e)
2 Before you calculate these answers, first estimate the
a) 30 870 ÷49
b) 221 340 ÷17
c) 100 719÷ 279
d) 75 640 ÷310
Step-by-step explanation:
1.) 630
2.) 13020
3.) 361
4.) 244
Find the slope of the line
O 1/3
O 6/2
0 -3/1
03/1
Answer:
6/2
Step-by-step explanation:
The slope of the given line is 3/1, Option D is correct.
The given line is passing through the points (1, 3) and (-1, -3)
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Plug in the values of points (1, 3) and (-1, -3) in the formula.
m= -3-3/-1-1
=-6/-2
Divide numerator and denominator by 2
We get 3
Slope of the line is 3.
To learn more on slope of line click:
https://brainly.com/question/16180119
#SPJ7
The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long. Any washers that do not meet this requirement must be discarded. What percentage of washers will the factory have to discard
Answer:
32%
Step-by-step explanation:
Let x be the mean of the values and σ their standard deviation.
Since the minimum value of the diameter of the washers is 1.53 mm, then
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+
x + σ = 1.65 mm
2x = 3.18
x = 3.18/2
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
-
x + σ = 1.65 mm
-2σ = -0.12
σ = -0.12/-2
σ = 0.06 mm
Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%
This question is based on the percentage. Thus, 32% of washers will the factory have to discard.
Given:
The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.
We need to determined the percentage of washers will the factory have to discard.
According to question,
Let x be the mean and σ be their standard deviation.
The minimum value of the diameter of the washers is 1.53 mm.
Then,
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+ x + σ = 1.65 mm
⇒ 2x = 3.18
We get,
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
- x + σ = 1.65 mm
⇒ -2σ = -0.12
We get,
σ = 0.06 mm
Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.
And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.
Thus, 32% of washers will the factory have to discard.
For more details, prefer this link:
https://brainly.com/question/13703753
PLS HELP ME
The smallest hummingbird is the Bee hummingbird. It has a mass of about 1
1
4
grams. The mass of a larger type of hummingbird is about 6 times the mass of the Bee hummingbird.
What is the mass of the larger hummingbird?
Answer:
The mass of the larger hummingbird is 7 1/2 or 15/2.
Step-by-step explanation:
Bee hummingbird = 1 1/4g
Larger hummingbird = 6x that
So,
1 1/4 x 6 = 7.5
7.5 as fraction = 7 1/2 or 15/2
Choose the function whose graph is given below.
A. y = sec X
O B. y = tan x
O C. y = CSC X
O D. y = cotx
Answer: B. y = tan x
Step-by-step explanation:
The function whose graph is show below will be tan x. Then the correct option is B.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The secant of angle x is not defined, for some value of x. Then the domain of the sec x will be
Domain = R – (2n + 1) π/2
But the graph of the sec x looks like U. Then it is incorrect.
The tangent of angle x is not defined, for some value of x. Then the domain of the tan x will be
Domain = R – (2n + 1)π/2
Then it is correct.
The co-secant of angle x is not defined, for some value of x. Then the domain of the csc x will be
Domain = R – nπ
Then it is incorrect.
The co-tangent of angle x is not defined, for some value of x. Then the domain of the cot x will be
Domain = R – nπ
Then it is incorrect.
Then the correct option is B.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ5
In the figure below, points G, H, and Jall lie on circle I.
H
Which of the following can be concluded from the figure?
Answer:
3rd option
∠JGH= 1/2∠JIH
Step-by-step explanation:
This is because of the circle theorem that states that angle at center is equal to two times the equal at circumference
