The random number generation by the device is not appropriate for generating values according to the Binomial distribution with n=5 and p=0.45.
To test whether the generated values follow the expected Binomial distribution, we can use the Chi-squared goodness-of-fit test. The steps to perform this test are as follows
Define the null hypothesis and alternative hypothesis. In this case, the null hypothesis is that the generated values follow the expected Binomial distribution with n=5 and p=0.45. The alternative hypothesis is that the generated values do not follow this distribution.
Choose a significance level. In this case, the significance level is 0.05.
Calculate the expected frequencies for each category of the Binomial distribution with n=5 and p=0.45. We can use the formula for the Binomial distribution to calculate the probabilities, and then multiply them by the total number of observations to get the expected frequencies.
Expected frequency for each category = P(category) x total number of observations
Expected frequency for category 0 = P(0) x 1200 = 0.0176 x 1200 = 21.12
Expected frequency for category 1 = P(1) x 1200 = 0.1284 x 1200 = 154.08
Expected frequency for category 2 = P(2) x 1200 = 0.3574 x 1200 = 428.88
Expected frequency for category 3 = P(3) x 1200 = 0.4162 x 1200 = 499.44
Expected frequency for category 4 = P(4) x 1200 = 0.1949 x 1200 = 233.88
Expected frequency for category 5 = P(5) x 1200 = 0.0055 x 1200 = 6.6
Calculate the Chi-squared test statistic. The formula for the Chi-squared test statistic is:
Chi-squared = Σ ( (observed frequency - expected frequency)^2 / expected frequency )
where Σ is the sum over all categories. Using the expected frequencies and the observed frequencies from the table, we can calculate the Chi-squared test statistic
Chi-squared = ( (28-21.12)^2 / 21.12 ) + ( (168-154.08)^2 / 154.08 ) + ( (423-428.88)^2 / 428.88 ) + ( (459-499.44)^2 / 499.44 ) + ( (105-233.88)^2 / 233.88 ) + ( (17-6.6)^2 / 6.6 ) = 94.67
Calculate the degrees of freedom. The degrees of freedom for the Chi-squared test are equal to the number of categories minus 1. In this case, there are 6 categories, so the degrees of freedom are 5.
Calculate the P-value of the test. We can use a Chi-squared distribution table or a calculator to find the P-value for the Chi-squared test with 5 degrees of freedom and a test statistic of 94.67. The P-value is less than 0.01 (about 0.000000000000000000000000000000000000000001), so we reject the null hypothesis that the generated values follow the expected Binomial distribution with n=5 and p=0.45.
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The given question is incomplete, the complete question is:
A random number generation device is expected to generate random values according to the Binomial distribution with n=5 and p=0.45. To ensure that the device's random number generation is appropriate, 1200 recently generated random values by this device have been organized in the following table. If the Chi-squared goodness-of-fit test is used with a significance of 0.05 to test whether random values have been appropriately generated by the device, what is the P-value of the test rounded to two places after the decimal, and the decision made?
Help, right answer please :)
Answer:
d
Step-by-step explanation:
hope this helps
Answer: The answer would be D) x²-12
explanation: Values mentioned in the form of table b are not a function. Option D is correct. Given that, Four functions in the tabulated options are given we have to find the one that is not a function. What are functions? Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable. Here, From observation Function mentioned in Tables A, C and D are proper functions because each of them has a relative and corresponding value of ordinate with respect to the abscissa. While in option B one of the abscissae gives two values of the ordinates but another abscissa relates to a single value. That is why Table in B does not represent the functions. Thus, values mentioned in the form of table b is not a function. Option D is correct.
if the probability of winning a teddy bear at a carnival is 0.89 and 40 turns are taken how many teddy bears will be won
If probability of winning a teddy bear at a carnival is 0.89 and 40 turns are taken, then he should have won about 35 teddy bears.
The probability of winning a teddy bear at a carnival is = 0.89, then
The probability of not winning a teddy bear is = 1 - 0.89 = 0.11,
We use binomial-distribution to calculate the probability of winning "k" teddy bears in "n" turns,
Where probability of winning (p) = 0.89,
The formula for the binomial distribution is,
⇒ P(k) = C(n,k) × p^k × (1-p)^(n-k),
The probability of winning "k" teddy bears in 40 turns is :
⇒ P(k) = C(40,k) × 0.89^k × 0.11^(40-k),
To find "expected-number" of teddy bears won, we multiply the probability of winning k teddy bears by k, and sum over all possible values of k,
⇒ E(number of teddy bears won) = \(\[ \sum_{k=0}^{40} \]\) k × P(k),
⇒ \(\[ \sum_{k=1}^{40} \]\) k × C(40,k) × 0.89^k × 0.11^(40-k),
On further solving ,
We get,
⇒ E(number of teddy bears won) ≈ 35.6,
Therefore, we expect to win about 35 teddy bears if we take 40 turns .
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What is the third term of the recursive sequence below
Given the sequence:
\(\begin{gathered} a_1=-6 \\ a_n=\frac{1}{2}a_{n-1}-n \end{gathered}\)Let's find the third term of the sequence.
To find the third term, a3, we have:
First find the second term, a2:
\(\begin{gathered} a_2=\frac{1}{2}a_{2-1}-2 \\ \\ a_2=\frac{1}{2}a_1-2 \\ \\ a_2=\frac{1}{2}(-6)-2 \\ \\ a_2=-3-2 \\ \\ a_2=-5 \end{gathered}\)The second term is -5.
To find the third term, we have:
\(\begin{gathered} a_3=\frac{1}{2}a_{3-1}-3 \\ \\ a_3=\frac{1}{2}a_2-3 \\ \\ a_3=\frac{1}{2}(-5)-3 \\ \\ a_3=-2.5-3 \\ \\ a_3=-5.5 \end{gathered}\)Therefore, the third term of the
draw the structure of 12-crown-4, a compound that is commonly used to bind certain metal ions.
The structure of 12-crown-4 is shown below.
12-Crown-4, also known as lithium ionophore V and 1,4,7,10-tetraoxacyclododecane, is a crown ether with the chemical formula C8H16O4. It is a lithium cation-specific cyclic tetramer of the chemical compound ethylene oxide.
12-crown-4 combines with alkali metal cations, similar to other crown ethers. It has a strong selectivity for the lithium cation due to the cavity diameter of 1.2–1.5.
LiClO4 can be used as a template cation in a modified Williamson ether synthesis to create 12-Crown-4:
(CH2CH2O)4 + 2 NaCl + 2 H2O = (CH2OCH2CH2Cl)2 + (CH2OH)2 + 2 NaOH
In the presence of gaseous boron trifluoride, it can also result from the cyclic oligomerization of ethylene oxide.
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please can you all figure this out and explain it easily as you can !
Answer:
y = 7/10
Step-by-step explanation:
1. Subtract 10 from both sides of the equation
2. Simplify
3. Subtract 5y from both sides of the equation
4. Simplify
5. divide both sides of the equation
6. simplify
7. solution
Which expression is equivalent to (q6)2
Answer:
q¹²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Powering]: \(\displaystyle (b^m)^n = b^{m \cdot n}\)Step-by-step explanation:
Step 1: Define
Identify
(q⁶)²
Step 2: Simplify
Exponential Rule [Powering]: q⁶⁽²⁾[Exponents] Multiply: q¹²Answer :
q¹²
step-step explanation:( q⁶)²
( use exponent rule ) multiply the exponents
q⁶ × ²
q¹²
professional scouts are timing a football player running a 40-yard dash to determine how his speed compares to other players they may want on their team. what type of analysis are the scouts using?
The scouts are using quantitative analysis.
Find the length of HJ.
Answer:
The answer is D
Step-by-step explanation:
Because the whole length is 29.1 so you would subtract the part you have which is 16.8 so 29.1-16.8=12.3
how many cups of granulated sugar in a 5 pound bag
There are approximately 11.25 cups of granulated sugar in a 5 pound bag.
To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.
First, we multiply the number of pounds (5) by the conversion factor:
5 pounds * 2.25 cups/pound = 11.25 cups
Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.
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There are 8 times as many males as females on the maths course at university. What fraction of the course are female? Give your answer in its simplest form.
Answer:
⅑
Step-by-step explanation:
Let m represents number of males, and f represents number of females taking the maths course.
Given that number of males (m) taking the maths course is 8 times as much as number of females (f), total number of students taking the maths course (T).
Thus we can represent the information above with the following:
m = no. of males
f = no. of females
T = Total
m = 8f
T = m + f
Thus,
Total = 8f + f = 9f
==>The fraction of the course that are females = No. of females (f) ÷ Total no. of students (T)
= f/9f
Fraction of females in simplified form would be ⅑
its in the file below
According to the information we can infer that Dora's conclusion may be incorrect because the information provided only states that the number of people who spent time reading falls within specific ranges (0-2 hours, 2-4 hours, and 2-10 hours), but it does not give a specific count for those who spent at least 4 hours. Therefore, Dora's assumption that "most people spent at least 4 hours a week reading" is not supported by the given data.
How to calculate the range of the time that Dora's friends spent reading?The range of the time spent reading cannot be determined from the information provided because the ranges are overlapping. For example, a person who spent exactly 2 hours reading could fall into both the first range (0-2 hours) and the second range (2-4 hours). Without more specific data or non-overlapping ranges, it is not possible to determine the exact range of time spent reading.
To estimate the mean time spent reading by Dora's friends, we can calculate the midpoint of each range and use it as an approximate value. The midpoint for the first range (0-2 hours) is 1 hour, for the second range (2-4 hours) is 3 hours, and for the third range (2-10 hours) is 6 hours. We can then calculate the estimated mean by taking the weighted average of these midpoints using the respective number of people as weights.
Estimated mean = [(4 * 1) + (5 * 3) + (11 * 6)] / (4 + 5 + 11) = 4.53 hours (approximately)
So, an estimate of the mean time spent reading by Dora's friends is approximately 4.53 hours.
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Find the Value of X in simplest radical form and Find the measure of angle A.
Answer:
A = 30°
x = 9·√3
Step-by-step explanation:
Part A
In the drawing, we are given;
The radius of the circle with center at point S = SA = 18
ΔAHA is a right triangle
One of the leg length of ΔASH = 9
The length of the hypotenuse side of ΔASH, AS = 18 The radius of the circle with center at the point 'S'
By Pythagoras's theorem, the length of the (radius) side, AS = √(SH² + AH²)
∴ AH = √(AS² - SH²)
AH = √(18² - 9²) = √(243) = 9·√3
AH = 9·√3
By circle theorem, SH bisects the line AH extended to the circumference of the circle
SH bisects the line with length AH + x
∴ AH = x
x = AH = 9·√3
x = 9·√3
Part B
By trigonometric ratios, we have;
\(sin\angle A = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}\)
\(\therefore sin\angle A = \dfrac{9}{18} = \dfrac{1}{2}\)
∠A = arcsine (1/2) = 30°
Angle A = 30°
find the length of the curve of x(t)=2t3,y(t)=4t2 2, for t∈[0,1].
The length of the curve for t∈[0,1] is 4/9. To find the length of the curve defined by x(t)=\(2t^3\) and y(t)=\(4t^2\)+2, we need to use the arc length formula:
L = ∫√\((dx/dt)^2 + (dy/dt)^2\) dt from t=0 to t=1.
First, let's find dx/dt and dy/dt:
dx/dt = \(6t^2\)
dy/dt = 8t
Now we can plug these into the arc length formula:
L = ∫√\((6t^2)^2\)+ \((8t)^2\) dt from t=0 to t=1
L = ∫√(\(36t^4 + 64t^2\)) dt from t=0 to t=1
L = ∫√(\(4t^2(9t^2 + 16)\)) dt from t=0 to t=1
L = 2∫√(\(9t^2\) + 16) dt from t=0 to t=1
To integrate this expression, we can use a trig substitution. Let u = (3/4)\(t^2\) and du = (3/2)t dt. Then:
L = 2∫√(9(4/3)u + 16) (2/3) du from u=0 to u=3/4
L = (4/3)∫√(12u + 48) du from u=0 to u=3/4
L = (4/3)∫√(12(u + 4)) du from u=0 to u=3/4
L = (4/3)∫2√(u + 4) du from u=0 to u=3/4
L = (8/3)[(2/3)\((u + 4)^{(3/2)}\)] from u=0 to u=3/4
L = (8/3)[(2/3)\((3/4 + 4)^{(3/2)}\) - \((2/3)(4)^{(3/2)}\)]
L = (8/3)[(2/3)\((25/4)^{(3/2)}\) - (2/3)(8)]
L = (8/3)[(25√25)/6 - 16/3]
L = (8/3)(25/6 - 16/3)
L = (8/3)(1/6)
L = 4/9
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One week a student studied for 12 hours. The next time week they only studied for 3 hours. What was the percent decrease in the amount of time the student spent studying?
Answer:
25%
Step-by-step explanation:
12 hrs = 100%
=> 3 hrs = 3 : 12 = 25%
Answer: 400%
Step-by-step explanation:
12/3 = 4
19 hundred thousandths in scientific
notation.
Ava bought a pair of shorts online for $47. She used a coupon code to get a 40% discount. The website also applied a 10% processing fee to the price after the discount. How much was the discount, in dollars and cents?
Two friends are renting a property with a monthly rent of $1,150. The total square footage is 1,225 square feet, the first bedroom is 140 square feet, and the second bedroom is 125 square feet. Determine how much the friend with the smaller bedroom will pay for rent if they split the cost based on the square footage of each bedroom. (2 points)
$540.35
$556.25
$567.95
$582.05
The proportion of rent that the friend with the smaller bedroom has to pay is 125/265. So his share of the rent is $540.35.
What is a ratio ?Suppose the distance from your house to your school is 2 miles, while the distance from your house to the nearest park is 3 miles.
Then we say that the ratio of the two distances s 2:3. To take another example suppose in today's hw, you have got 10 questions to answer, while in yesterday's hw you had 7 questions to answer. In this case we say that the ratio of the no of hw questions you have today, to the no questions you had yesterday is 10:7.
A ratio is a pair of numbers which gives the relative magnitudes of two similar quantities. A ratio of a:b is also represented by the fraction a/b.
What is a proportion ?Let us use the previous example. the ratio of the distances from your home to your school and to the nearest park is say 2:3 . Now consider the ratio of the time it takes to reach your school from your home by car to the time it takes to reach the park by car from your home. suppose this ratio a:b . Then it reasonable to assume that the two fractions a/b and 2/3 are equal, assuming the car moves at the same average speed.
This common ratio is called the proportion. we write it as follows,dist to school : dist to park : : time to school : time to park.
This is read as the distance to school IS TO distance to park AS time to school IS TO time to park.
if we write the ratios as fractions. Then they are proportional or equivalently they are the same proportion if and only if the two fractions are equal.
So The ratio of the bedroom sizes is 125 : 140.
Total rent that is to be divided between them is $1150.
if the share of the rents are a,b. then as fractions a/b = 125/140
So. a/a+b = 125/125+140 = 125/265
but a + b = 1150
So a = 125/265 (1150) = 542.452
The closest option is $540.35. So this is our answer.
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with alpha = .01 the two-tailed critical region for a t test using a sample of n = 16 subjects would have boundaries of ____.
with alpha = .01 the two-tailed critical region for a t test using a sample of n = 16 subjects would have boundaries of -2.769 and 2.769
To calculate the critical region boundaries for a two-tailed t-test with alpha = 0.01 and n = 16 subjects, we need to use the t-distribution table. The table will give us the critical values for the given alpha level and sample size. In the t-distribution table, look up the row that corresponds to alpha = 0.01 and n = 16. This will give us the critical values, which in this case are -2.769 and 2.769. Therefore, the two-tailed critical region for a t-test using a sample of n = 16 subjects would have boundaries of -2.769 and 2.769.
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volume of a sphere(please hurry im in a test.
and can you also show the prosses of getting the anwser)
Answer:
The answer is 113.3
Step-by-step explanation:
We get this because he formula for the volume of a sphere is V = 4/3 πr³.
The radius is 7.
7^3 = 243
243*4 = 972.
So, the asnwer is 972 ft^3
Let A={1,2,n} and B={1,2,m} with m>n. Let F be the set of all functions from A to B i.e. F={f:f is a function from A to B}. (i) Calculate ∣F∣. (a) Let G be the set of all 1-to-1 functions from A to B. Calculate ∣G∣. (b) What is the probability that a randomly chosen function from A to B is 1-to 1 ?
The cardinality of set F, which represents all functions from set A to set B is one-to-one and 25%.
In this case, set A has three elements, and for each element, there are two choices in set B. Therefore, the cardinality of F is given by \(|F| = |B|^{|A|} = 2^3 = 8\). To calculate the cardinality of the set G, which represents all one-to-one (injective) functions from set A to set B, we need to consider the number of possible injections. The first element in A can be mapped to any of the two elements in B, the second element can be mapped to one of the remaining elements, and the last element can be mapped to the remaining element. Thus, the cardinality of G is given by |G| = |B|P|A| = 2P3 = 2 × 1 × 1 = 2.
The probability of choosing a random function from A to B that is one-to-one can be calculated by dividing the cardinality of the set G by the cardinality of the set F. In this case, the probability is given by |G| / |F| = 2/8 = 1/4 = 0.25.
Therefore, the probability that a randomly chosen function from A to B is one-to-one is 0.25 or 25%.
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What does the y-intercept represent in this situation? The weight of oats, in pounds, in the final mixture. The weight of hay, in pounds in the final mixture. The amount of protein the feed has if no oats are added. The amount of protein the feed has if no hay is added.
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The y-intercept in the situation given represents: C. The amount of protein the feed has if no oats are added.
What is the Y-intercept of a Linear Function?The y-intercept of a linear function is the initial value or the value of y when x equals 0.
The initial value in this situation is the amount of protein in the feed when the amount of oats added is 0.
Therefore, the y-intercept represents: C. The amount of protein the feed has if no oats are added.
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A cup of milk has 10 grams of protein. How much protein is in 2.5 cups of milk?
Answer:
25 grams of protein
Step-by-step explanation:
10 grams of protein is in 1 cup of milk.
To understand how many grams of protein are in 0.5 cups of milk, I would need to divide 10 by 2, to get 5.
There are 5 grams of protein in 0.5 cups of milk.
Now if I want to see how many grams of protein are in 2 cups of milk, I would multiply 10 by 2, to get 20.
There are 20 grams of protein in 2 cups of milk.
But, the question is asking for how much protein is in 2.5 cups of milk.
Since we know how much is in 2 cups, and 0.5, we can just add them together, because 2+0.5 is 2.5.
20+5 is 25 grams.
There are 25 grams of protein in 2.5 cups of milk.
Assignment
For which conditions is p V q false?
p is true and q is false.
p is true and q is true.
p is false and q is true.
pis false and q is false.
Answer:
p is false and q is true
Step-by-step explanation:
bc it's equals to the right answer if u calculate
Answer:
D. P is false and Q is false
1. no members of the edwards country club are raiders fans. 2. rick is a member of the edwards country club. 3. so, rick isn't a raiders fan. in this argument, the conclusion is supported by premises.
In this argument, the conclusion is supported by premises. Hence the statement is true and is an example of deductive argument.
The conclusion that Rick isn't a Raiders fan is supported by the premises that no members of the Edwards Country Club are Raiders fans and that Rick is a member of the Edwards Country Club. This is an example of a deductive argument, where the conclusion logically follows from the premises.
Hence, to say that in this argument conclusion is supported by premises is true. The conclusion "Rick isn't a Raiders fan" is supported by the premises 1) no members of the Edwards Country Club are Raiders fans, and 2) Rick is a member of the Edwards Country Club.
Note: The question is incomplete. The complete question probably is: 1. no members of the Edwards country club are raiders fans. 2. rick is a member of the Edwards country club. 3. so, rick isn't a raiders fan. in this argument, the conclusion is supported by premises. True or false.
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
In 2001, 150 000 students were expected to enroll at the institution.
For the 2018 academic year, 468000 students are anticipated to enroll at the
How can the population size be calculated?The size of a population refers to its total number of members. The average person count per unit of area or volume is referred to as population density.
a. The formula to solve the question is as follows:
y = 123.1(1.069)x.
Hence x is the amount of time that was passed.
2001 - 1998 = 3y = 123.1 (1.069)³y
= 123.1 x 1.2216115y = 150.4
In 2001, the school is expected to have 150000 students enrolled.
b. 2018
The distinction x, or the variation between the years we are to calculate, must be considered:
x = 2018 - 1998
= 20.y = 123.1 x (1.069)²⁰y
= 123.1 x 3.798y
= 467.5468
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Write the equation of the line that passes through (3, -2) and is parallel to y= 4x+1
Answer:
it should be y=4x-14
Step-by-step explanation:
since the line is parallel to y=4x+1 than the slope should be the same but the y intercept is different. and so u put the coordinate on a graph and use the slope and coordinate to fine the equation.
Mr. Davis is packing a box with books. The box is a rectangular prism with the 2 ft 3 ft 2 ft What is the volume of the box?
Answer:
12 ft^3
Step-by-step explanation:
Given data
Dimension
Lenght= 2ft
Width= 3ft
Height= 2ft
The expression for the volume is
Volume= L*W*H
Substitute
V= 2*3*2
V= 12 ft^3
Hence the volume of the box is 12 ft^3
Which shows 34,867 rounded to the nearest hundred? O A 34,900 . B. 34.800 C. 34 500 D. 34.000
Answer:
A. 34,900
Good Luck!!
Answer:
A) 34,900
Step-by-step explanation:
When rounding to the nearest hundred, look at the TENS DIGIT of the number.
If that digit is 0, 1, 2, 3, or 4, you will round down to the previous hundred.
If that digit is 5, 6, 7, 8, or 9, you will round up to the next hundred.
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have a good dayThe isosceles triangle has a perimeter of 7.5 m.
Which equation can be used to find the value of x if the
shortest side, y, measures 2.1 m?
y
O 2x-2.1 = 7.5
O 4.2 + y = 7.5
X
O y-4.2 = 7.5
0 2.1 + 2 x = 7.5
Mart this and return
Save and Exit
Next
Submit
Answer:
Option d) 2.1 + 2x = 7.5
Step-by-step explanation:
An isosceles triangle is a triangle with two equal sides.
Perimeter of a triangle is some of all the 3 sides.
Let the equal sides be x
Let the third side be y
Therefore,
Perimeter = x + x + y
7.5 = 2x + y
7.5 = 2x + 2.1 [ given shortest side, y = 2.1m ]
i need help solving this
Answer:
slope =m = -1/5
c = -6
y = mx+c