Answer:
Step-by-step explanation:
θ = 2π/9 radians
arc length = rθ = 8π/9 units
area of sector = πr²/9 = 16π/9 square units
keiko has bought 36pounds of dog food, she feed the dog 3/4 pound of food each meal. how many meals would this last
Answer:
48 meals
Step-by-step explanation:
36lbs ÷ 3/4lbs = 48
***************************
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
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:
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.
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
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
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
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.
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
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.
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Which of the following is the correct way to state the similarity between these two figures?
A.) ABCDE ~ YXVZW
B.) ABCDE ~ VWXYZ
C.) ABCDE ~ VZWYX
D.) ABCDE ~ ZWYXV
Answer:
ABCDE is similar to the ZWYXV
The sum of a number times 8 and 23 is at most 26.
Use the variable b for the unknown number
Answer:
b ≤ 3/8
Step-by-step explanation:
Let the unknown number be b.
Translating the word problem into an algebraic expression, we have;
8b + 23 ≤ 26
Rearranging the equation, we have;
8b ≤ 26 - 23
8b ≤ 3
Dividing both sides by 8, we have;
b ≤ 3/8
NO LINKS PLEASE HELP ME
Answer
angle 5 = 31°
Step-by-step explanation:
Answer:
31 degrees
Step-by-step explanation:
Angles 1, 5, and 6 combine to form a straight line, which is 180 degrees, so add 56 and 93 and subtract that from 180
what is the value of k if - 2/3(k - 6) = 3/2(k+6)
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: -30/13
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
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
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
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.
Angel and Kellie each have the same amount of money in their wallet. Angel buys two juice drinks and receives $1.10 in change after she pays. Kellie buys 1 juice drink and receives $3.05 in change after she pays. Which equation shows how to find the cost of a juice drink, j?
Answer:
y= 2x+1.10
y=x+3.05
Step-by-step explanation:
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
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
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
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!
2. A student measured the mass of an object
to be 56 g, but the actual mass was 53 g.
What is the absolute error?
Quickkkkkk
The absolute Error is 5.66%.
What is absolute Error?The discrepancy between a quantity's measured or inferred value and its actual value is known as the absolute error.
The absolute error is insufficient because it provides no information about the significance of the error. An inaccuracy of a few centimetres when estimating the kilometres between cities is insignificant and unimportant. A measurement mistake of a few centimetres when measuring tiny machine parts is a highly important defect. Although both inaccuracies are in the centimetre range, the second one is more serious than the first.
Given:
Actual Mass = 53g
and, Measure mass= 56 g
So, Absolute Error = | 56- 53 / 56| x 100
Absolute Error = |3 / 56| x 100
Absolute Error = 0.056603 x 100
Absolute Error = 5.66%
Hence, the absolute Error is 5.66%.
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A graduate student conducted a study of field mice in rural Kansas. The student obtained a sample of 100 field mice and recorded the weight, in grams, of each mouse. The mean and standard deviation of the recorded weights are 35 grams and 2.4 grams, respectively. After the measurements were taken, it was discovered that the scale was not calibrated correctly. The student adjusted the 100 measurements by subtracting 3 grams from each measurement. What are the values of the mean and standard deviation of the corrected measurements
Subtracting 3 from all measurements, it is found that:
The mean will decrease by 3.The standard deviation will remain constant.What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.From this, we have that:
When 3 is subtracted from all measures, the sum of all observations will be subtracted by 3 x 100 = 300, hence the mean will decrease by 3.The mean decreases by 3, as does each observation, hence the sum of the differences squared between each observation and the mean remains constant, as does the standard deviation.More can be learned about the standard deviation of a data-set at https://brainly.com/question/12180602
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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.
Find the value of x.
Plsss help
Answer:
x=6
Step-by-step explanation:
7x+5+13x-8+11x-3=180
31x-6=180
31x=186
x=186÷31
x=6
I wrote the wrong answer so I erased it
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.
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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
What is 1,650,000,000 in scientific notation?
Answer:
[tex]1.65*10^{2}[/tex]
Step-by-step explanation:
