Answer:
26
Step-by-step explanation:
count the units
Answer:
on the graph every square counts as one unit, so count by ones every square you come across on that shape. so 26
Step-by-step explanation:
the shape is also a tridecagon
solve the inequality and write final solution in interval notation
Given the following inequality:
\(2\lbrack5x-(3x-4)\rbrack>2(2x+3)\)You can solve it as follows:
1. You need to distribute the negative sign on the left side of the inequality:
\(2\lbrack5x-3x+4\rbrack>2(2x+3)\)2. You can apply the Distributive Property on both sides of the inequality:
\(\begin{gathered} (2)(5x)+(2)(-3x)+(2)(4)>(2)(2x)+(2)(3) \\ 10x-6x+8>4x+6 \end{gathered}\)3. Now you can subtract this term from both sides of the inequality:
\(\begin{gathered} 10x-6x+8-(4x)>4x+6-(4x) \\ 10x-10x+8>6 \end{gathered}\)4. You can determine that:
\(8>6\text{ (True)}\)Therefore, you can conclude that all the values of "x" are solutions.
The answer is:
\((-\infty,\infty)\)What is the probability that a green
car will be chosen out of the
following collection? 12 red cars, 14 blue cars, 11 green
cars, and 20 yellow cars.
Express the answer as a reduced
fraction.
Answer:11/57
Step-by-step explanation:
Pls help!
1.) Find two ratios that are equivalent to 15/60
Possible Answers: A.) 15/20 and 30/120 B.) 20/5 and 120/30 C.) 5/20 and 45/120
D.) 5/20 and 30/120
2.) Simplify to tell whether the two ratios form a proportion.
24/48 and 12/18
Possible Answers: A.) Yes B.) No
3.) A factory can package 112 games in 14 minutes. How many games can he package per minute?
Possible Answers: A.) 28 B.) 8 C.) 98 D.) 16
4.) An infant drinks about 26 oz. of milk per day. About how many qt. of milk does the baby drink in 4 weeks?
Possible Answers: A.) 45.5 qt B.) 30 qt C.) 6.5 qt D.) 22.75 qt
5.) Solve the proportion. k/10 = 30/60
Possible Answers: A.) k = 300 B.) k = 5 C.) k = 20 D.) k = 6
1) The two equivalent ratios to 15/60 are D.) 5/20 and 30/120.
2) After simplifying the two ratios, 24/48 and 12/18, they do not form a proportion.
3) If a factory can package 112 games in 14 minutes, the number of games it can package per minute is B) 8.
4) If an infant drinks about 26 oz. of milk per day, the quantity of milk the baby drinks in 4 weeks is D.) 22.75 qt.
5) Solving the proportion, k/10 = 30/60, shows that B.) k = 5.
What are equivalent ratios?Equivalent ratios are two or more ratios that are equal or proportional to one another.
Equivalent ratios produce the same value after they are reduced to their lowest terms.
For instance, 15/60 = 0.25 or ¹/₄
Similarly, 5/20 = 0.25 or ¹/₄
And 30/120 = 0.25 or ¹/₄
2) 24/48 = 0.5 or ¹/₂
And 12/18 = 0.5 or ¹/₂
3) The total number of games packaged in 14 minutes = 112
The number of games packaged per minute = 8 (112/14)
4) Infant Milk:
1 quart = 32 oz.
1 week = 7 days
The number of ounces of milk the infant drinks per day = 26 oz.
The quantity of quarts of milk the infant can drink in 4 weeks = 22.75 quarts (26/32 x 7 x 4)
5) k/10 = 30/60
30/60 = 5/10
k = 5
Note that ratios can also be expressed as fractions, decimals, and percentages.
Thus, the two equivalent ratios too 15/60 are in Option D.
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The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fairly reliable. It gives a positive reaction in 97% of the people who have a disease. However, it erroneously gives a positive reaction for 5% of the people who do not have the disease. Consider the null hypothesis "the individual does not have the disease". What is the probability of type i error if the new blood test is used?.
The probability of a type I error is 0.022.
Given,
In the question;
It is not always possible to identify rare diseases by screening. A blood test that has been created by researchers is thought to be reasonably dependable. In 97% of those who suffer from a sickness, it produces a favorable response. However, 5% of those tested receive an incorrectly positive response because they do not have the condition.
The null hypothesis is given as "the individual does not have the disease".
We have to find the probability of type l error if the new blood test is used;
Here,
A: The individual does not have the disease
B: The individual does have the disease
We know that,
Type I Error is rejecting the true null hypothesis
Then, probability;
P (Type I Error) = P(Positive reaction to an individual who does not have the disease) = 0.022
Hence, The probability of a type I error is 0.022.
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the critical ratio is the ratio of the due date to the time it takes to perform a job. a. true b. false
The correct option is B that is The ratio of a task's due date to its completion time is known as the crucial ratio is false.
Given that,
The ratio of a task's due date to its completion time is known as the crucial ratio.
We have to prove is the statement is true or false.
We know that,
CR stands for Critical Ratio refers to the rule of dispatching which determine the priority index number through dividing the time to due date which remained through expected elapsed time in order to complete the job.
This ratio is used in work priority sequencing waiting for processing at work center. It is established by formals due date divided by the aggregate shop remaining time. The ratio less than 1 are behind, greater than 1 are ahead as well as ratio of 1 is on schedule.
The formula is as:
CR stands for "Time Left Until Due Date / Remaining Processing Time."
Therefore, the correct option is B that is The ratio of a task's due date to its completion time is known as the crucial ratio is false.
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Solving equations using elimination or substitution y = -8x2x + 4y = 0
We need to solve the following system of equations:
\(\begin{gathered} y=-8x \\ 2x+4y=0 \end{gathered}\)We can use the substitution method. The first equation gives us an expression of y dependent on x. We can take the second equation and replace y by that expression so we obtain an equation with only one variable:
\(\begin{gathered} 2x+4y=0 \\ 2x+4\cdot(-8x)=0 \\ 2x-32x=0 \\ (2-32)x=0 \\ -30x=0 \end{gathered}\)Then we divide both sides by -30:
\(\begin{gathered} \frac{-30x}{-30}=\frac{0}{-30} \\ x=0 \end{gathered}\)So we have found that x=0. We use this value in the expression of y:
\(y=-8x=-8\cdot0=0\)So we have x=0 and y=0.
AnswerThen the answer is (0,0).
which combination of factors will increase the chances of rejecting the null hypothesis?
Answer:
Increased sample size Larger effect size Lower variability One-tailed test
Step-by-step explanation:
The following combination of factors can increase the chances of rejecting the null hypothesis:
Decreased significance level (alpha): By choosing a lower significance level, such as 0.01 instead of 0.05, you make it more difficult for the results to be considered statistically significant, thereby increasing the chances of rejecting the null hypothesis.
Increased sample size: With a larger sample size, the test has more power to detect smaller effects or differences. This increased power can lead to rejecting the null hypothesis more often.
Larger effect size: If the effect or difference between groups being studied is larger, it becomes easier to detect and may lead to rejecting the null hypothesis.
Lower variability: If the data points in the sample are less spread out or have lower variability, it can increase the chances of rejecting the null hypothesis as the effect or difference becomes more evident.
One-tailed test: Conducting a one-tailed test instead of a two-tailed test can increase the chances of rejecting the null hypothesis. One-tailed tests focus on detecting a significant effect in one specific direction, whereas two-tailed tests consider the possibility of a significant effect in either direction.
It is important to note that these factors should be considered within the context of the specific hypothesis being tested and the statistical analysis being used. Additionally, the goal should be to design studies and analyze data in a way that ensures reliable and valid results rather than solely focusing on rejecting the null hypothesis.
Citizen registration and voting varies by age and gender. The following data is based on registration and voting results from the Current Population Survey following the 2012 election. A survey was conducted of adults eligible to vote. The respondents were asked in they registered to vote. The data below are based on a total sample of 849. . We will focus on the proportion registered to vote for ages 18 to 24 compared with those 25 to 34. . The expectation is that registration is lower for the younger age group, so express the difference as P(25 to 34)- P(18 to 24) . We will do a one-tailed test. Use an alpha level of 05 unless otherwise instructed. The data are given below. Age Registered Not Registered Total 18 to 24 58 51 109 25 to 34 93 47 140 35 to 44 96 39 135 45 to 54 116 42 158 55 to 6 112 33 145 65 to 74 73 19 92 75 and over 55 15 70 Total 603 245 849 What is the Pooled Variance for this Hypothesis Test? Usc 4 decimal places and the proper rules of rounding. D Question 15 3 pts Small Sample Difference of Means Test. Each year Forbes puts out data on the top college and universities in the U.S. The following is a sample from the top 300 institutions in 2015. The test we will look at is the difference in the average 6-year graduation rates of private and public schools. The das given below. We will assume equal variances. Note: I used the variances for all my calculations 6-Year Graduation Rates by Private and Public Top Universities Private Public Private Public Mean 78.053 77.588 Leaf Leaf Median 76.000 79.000 51 51 648889 61.000 67.000 Min Max 617889 710234 95.000 93.000 71002568 Variance 96.830 67.132 812445 Std Dev 7.840 8.193 91135 81012345 9|13 101 12.607 101 CV Count 19 17 If a priori, we thought private schools should have a higher 6-year average graduation rate than public schools, the conclusion of the hypothesis test for this problem would be to reject the null hypothesis at alpha.
The difference between the proportion registered to vote for ages 18 to 24 compared with those 25 to 34 is P(25 to 34)- P(18 to 24). We will do a one-tailed test. Use an alpha level of 05 unless otherwise instructed.
Data is given below:
Age Registered Not Registered Total 18 to 2458510925 to 34934714035 to 44963945 to 541164215855 to 61123314565 to 747319275 and over 551570 Total 603245849 Pooled Variance for this Hypothesis Test:
The formula for pooled variance is given by;
${S_p}^2=\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{(n_1+n_2-2)}$
Where, n1 and n2 are the sample sizes for the 1st and 2nd samples, S1² and S2² are the variances for the 1st and 2nd samples respectively.
Substituting the values in the above formula, we get; ${S_p}^2=\frac{(109-1)S_1^2+(140-1)S_2^2}{(109+140-2)}$
For the Age group 18 to 24, Sample size (n1) = 109, Variance (S1²) = 0.4978.
For the Age group 25 to 34, Sample size (n2) = 140, Variance (S2²) = 0.5696.
Substituting the values, we get; ${S_p}^2=\frac{(108)(0.4978)+(139)(0.5696)}{(247)}$${S_p}^2=\frac{54.8424+79.12944}{247}$${S_p}^2=\frac{133.97184}{247}$Sp² = 0.5423 (approx.).Therefore, the Pooled Variance for this Hypothesis Test is 0.5423 (approx.). Now, considering the second part of the question; If a priori, we thought private schools should have a higher 6-year average graduation rate than public schools, the conclusion of the hypothesis test for this problem would be to reject the null hypothesis at alpha. The answer is 'alpha.'Therefore, the conclusion of the hypothesis test for this problem would be to reject the null hypothesis at alpha.
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1. Which of the following conversions is possible?
O Feet to Miles
O Pounds to Inches
O Grams to Centimeters
0 Meters to Liters
Answer: feet to miles
Step-by-step explanation:
Answer:
feet to miles
Step-by-step explanation:
feet to miles is the possible conversion
because the rest are two different type of measurements
So, I'm trying to solve this question but I can't quite jog my mind, A little help here maybe > Forest City has ordered 36 maple trees and 54 dogwood trees to be planted in groups in a city park. Each group will have the same number of maple trees and dogwood trees.
By finding common factors, we conclude that we can divide the trees in 6 or in 9 parts, but not in 8.
Can the trees be planted in 6, 8, or 9 parts?We know that each of these parts needs to have the same number of each type of trees.
So we need to see if 6, 8, or 9, are common factors between 36 and 54.
First:
6*6 = 36
9*4 = 36
So 9 and 6 are factors of 36.
And 9*6 = 54
So 9 and 6 are factors of 54.
(8 is not a factor of neither)
So 9 and 6 are common factors between 36 and 54.
Then we can divide the trees in 6 or in 9 parts, but not in 8.
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factorise 4px-3my-2pm-6xy
Answer:
E
Step-by-step explanation:
NO
Suppose Capital One is advertising a 60-month, 5.54% APR motorcycle loan. If you need to borrow $7,200 to purchase your dream Harley-Davidson, what will be your monthly payment? (Note: Be careful not to round any intermediate steps less than six decimal places.)
Your monthly payment will be $ . (Round to the nearest cent.)
Your monthly payment for the 60-month, 5.54% APR motorcycle loan to purchase your dream Harley-Davidson will be $136.88.
To calculate the monthly payment for a motorcycle loan, we can use the formula for the present value of an annuity. The formula is:
PMT = PV * r / (1 - (1 + r)^(-n))
Where:
PMT = Monthly payment
PV = Present value of the loan
r = Monthly interest rate
n = Number of months
In this case, the present value of the loan (PV) is $7,200, the monthly interest rate (r) is 5.54% divided by 12 (0.0554 / 12), and the number of months (n) is 60.
Plugging in these values into the formula, we get:
PMT = 7200 * (0.0554 / 12) / (1 - (1 + (0.0554 / 12))^(-60))
Evaluating this expression, the monthly payment comes out to be approximately $136.88.
Therefore, your monthly payment for the 60-month, 5.54% APR motorcycle loan to purchase your dream Harley-Davidson will be $136.88.
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the price of a jar of peanut butter went from $ 5.99 to $ 6.89 . what was the percent change in the price?
Using Percentage formula , The change in the price of a jar of peanut butter is 15.02%.
Percentage : It is defined as a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.
First of we need to calculate difference between initial price and final price to
get the change in price.
Initial Price of jar of peanut butter = $ 5.99
Final price of jar of peanut butter = $ 6.89
Change in price of a jar of peanut butter = final price of jar of peanuts butter - initial price of jar of peanuts butter
= $ 6.89 - $ 5.99 = $ 0.9.
Percent change in price = ((Change in Price)/(initial price))× 100
percent change = (0.9/5.99)× 100 = 15.02
Hence, 15.02% is the change in price of a jar of peanuts butter.
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HELP
Identify a pair of parallel lines in the given figure.
OA) s and t
OB) p and r
OC) s and a
OD) q and t
Answer:
A) s and t.
Step-by-step explanation:
just trust me. Plus lines s and t are the only pair of lines that don't touch each other and can go on forever not touching each other.
Write a function called count characters that counts the number of times each character appears in a user-supplied string s
This output shows the counts of each character in the string "hello world". The letter 'l' appears 3 times, the letter 'o' appears 2 times, and so on.
Here's an example Python function called count_characters that counts the number of times each character appears in a user-supplied string s:
def count_characters(s):
Given a string s, returns a dictionary containing the count of each character in the string.
char_count = {}
for char in s:
if char in char_count:
char_count[char] += 1
else
char_count[char] = 1
return char_count
This function creates an empty dictionary called char_count to store the counts of each character. It then loops through each character in the string s and checks if it's already in the char_count dictionary. If it is, it increments the count for that character. If it's not, it adds the character to the dictionary with a count of 1. Finally, the function returns the char_count dictionary.
You can call this function like this:
string = "hello world"
char_count = count_characters(string)
print(char_count)
Output:
python
{'h': 1, 'e': 1, 'l': 3, 'o': 2, ' ': 1, 'w': 1, 'r': 1, 'd': 1}
This output shows the counts of each character in the string "hello world". The letter 'l' appears 3 times, the letter 'o' appears 2 times, and so on.
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Find a polynomial function f of degree 4 whose coefficients are real numbers that has the zeros 1, 1, and -3-i. 3х+4. Q2. The function f(x)= is one-to-one. Find its inverse functions and domain a"
The polynomial function f(x) can be expressed as f(x) = (x - 1)(x - 1)(x - (-3 - i))(x - (-3 + i)). The function f(x) = 3x + 4 is not one-to-one. To find its inverse function, we can interchange x and y and solve for y. The inverse function of f(x) = 3x + 4 is f^(-1)(x) = (x - 4)/3. The domain of the inverse function is the range of the original function, which is all real numbers.
To find a polynomial function f(x) of degree 4 with real coefficients and the given zeros 1, 1, and -3-i, we consider that complex zeros come in conjugate pairs. Since we have -3-i as a zero, its conjugate -3+i is also a zero. Therefore, the polynomial function can be expressed as f(x) = (x - 1)(x - 1)(x - (-3 - i))(x - (-3 + i)).
Regarding the function f(x) = 3x + 4, it is not one-to-one because it fails the horizontal line test, meaning that multiple values of x can produce the same output. To find its inverse function, we interchange x and y, resulting in x = 3y + 4. Solving for y gives us y = (x - 4)/3, which is the inverse function denoted as f^(-1)(x). The domain of the inverse function is the range of the original function, which is all real numbers.
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Simplify -|-5+2| !!! PLZZZ
Answer:
-3
Step-by-step explanation:
\(-|-5+2|\\\\=-|-3|\\\\=-3\)
Step-by-step explanation:
-|-5 + 2|
= -|(-3)|
= -(3)
= -3.
Will make brain list
For h(x), to find out the maximum, you would need to use this formula: \(c-(\frac{b^{2} }{4a} )\)
We are given the equation: \(h(x)=-x^{2}+4x-2\).
So, a = -1, b = 4, and c = -2. Then, substitute the numbers into the formula:
h(x)'s maximum = \(c-(\frac{b^{2} }{4a} )\)
= \((-2)-(\frac{(4)^{2} }{4(-1)} )\)
= \((-2)-(\frac{16 }{-4} )\)
= \((-2)-(-4)\)
= \(2\)
For g(x), to find out the maximum, just look at the highest point of y on the graph of the function, which is 2.
Thus, the answer you have chosen is the correct answer, which is choice 3: functions g and h have the same maximum of 2. Hope this helps :)
a contractor is adding 243 cy backfill. if each truck can hold 162 cf, how many truck loads are needed? (round up)
Approximately 41 truck loads are needed to hold it.
Given that,
A builder is 243 cy backfilling. assuming each truck has a 162 cubic feet capacity
To find : What number of truckloads are required?
The quantity of trucks required serves as an example of rates.
There are 42 trucks required.
How to calculate the quantity of trucks
The backfill's size is specified as follows: 243 CY
A vehicle may carry as much as 162 CF.
The required number of trucks is then determined as follows:
n = 243 / 162
Convert n = 243 * 27 /162 from CY to CF.
Fix n = 40.5.
n is approximately 41.
So, to hold it, roughly 41 truck loads are required.
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PLEASE THIS IS URGENTTT
The functions and their transformations are
h(x) = 2(x + 1)² - 8: a translation down by 5 unitsk(x) = 2(x + 6)² - 3: a translation left by 5 units g(x) = 2(x - 4)² - 3: a translation right by 5 unitsj(x) = 2(x + 1)² + 2: a translation up by 5 unitsHow to match the functions and the transformations?From the question, we have the following parameters that can be used in our computation:
f(x) = 2(x + 1)² - 3
A translation down by 5 units is represented as
f(x) - 5
So, we have
f(x) - 5 = 2(x + 1)² - 3 - 5
f(x) - 5 = 2(x + 1)² - 8
Rewrite as
h(x) = 2(x + 1)² - 8
A translation left by 5 units is represented as
f(x + 5)
So, we have
f(x + 5) = 2(x + 1 + 5)² - 3
f(x + 5) = 2(x + 6)² - 3
Rewrite as
k(x) = 2(x + 6)² - 3
A translation right by 5 units is represented as
f(x - 5)
So, we have
f(x - 5) = 2(x + 1 - 5)² - 3
f(x - 5) = 2(x - 4)² - 3
Rewrite as
g(x) = 2(x - 4)² - 3
A translation up by 5 units is represented as
f(x) + 5
So, we have
f(x) + 5 = 2(x + 1)² - 3 + 5
f(x) + 5 = 2(x + 1)² + 2
Rewrite as
j(x) = 2(x + 1)² + 2
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(9.8)²-10² please help
Answer:
Step-by-step explanation:
-9
The joint probability density function of x and y is given by f(x,y)=(x+y)/8 0 calculate the variance of (x+y)/2
The variance of (X + Y)/2 is 5/9. The variance of a random variable is defined as E[(X - E[X])^2], where E[X] is the expected value of the random variable.
We are given the joint probability density function of X and Y as f(x,y) = (x+y)/8 for 0 < x < 2 and 0 < y < 2.
We need to find the variance of (X + Y)/2.
Let Z = (X + Y)/2. Then, the expected value of Z is:
E[Z] = E[(X + Y)/2] = E[X]/2 + E[Y]/2
We can find E[X] and E[Y] as follows:
E[X] = ∫∫x f(x,y) dxdy = ∫∫x(x+y)/8 dxdy
= ∫0²∫0²x(x+y)/8 dydx = 2/3
Similarly, E[Y] = 2/3.
Therefore, E[Z] = 2/3.
Now, we need to find E[Z^2]:
E[Z^2] = E[(X + Y)^2/4] = E[X^2]/4 + E[Y^2]/4 + E[XY]/2
We can find E[X^2], E[Y^2], and E[XY] as follows:
E[X^2] = ∫∫x^2 f(x,y) dxdy = ∫0²∫0²x^2(x+y)/8 dydx = 2
E[Y^2] = ∫∫y^2 f(x,y) dxdy = ∫0²∫0²y^2(x+y)/8 dydx = 2
E[XY] = ∫∫xy f(x,y) dxdy = ∫0²∫0²xy(x+y)/8 dydx = 1/2
Therefore, E[Z^2] = (2/4) + (2/4) + (1/4) = 1.
Finally, we can find the variance of Z as:
Var(Z) = E[Z^2] - E[Z]^2 = 1 - (2/3)^2 = 5/9.
Therefore, the variance of (X + Y)/2 is 5/9.
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Anyone Know f(-10)= 4.5,f(-2)=4.5??? Help ASAP
The linear function of f(-10)= 4.5,f(-2)=4.5 is y = 4.5.
How to represent linear function?Linear function can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the linear function of f(-10)= 4.5, f(-2)=4.5 can be represented as follows:
Using y = mx + b
4.5 = -10m + b
4.5 = -2m + b
b = 4.5 + 10m
Hence, using substitution,
4.5 = -2m + 4.5 + 10m
4.5 - 4.5 = 8m
m = 0
Let's find b
4.5 = -10(0) + b
b = 4.5
Therefore, the linear function is y = 4.5
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A number less than twenty five
Answer:
A number less than 25 is 24 or below that.
Step-by-step explanation:
Hope this helps! Not sure if this is what you need but I hope it is
Shelby can type many words (w) in a minute (t). Which equation shows the number of words she can type in 5 minutes?
w=5t
w=t+5
w=t5
Answer:
w = 5t
Step-by-step explanation:
usually, numbers are written before the letters.
Answer:
you have your answer to this but hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
how are you
A computer generates 100 random numbers, and 100 people whose names correspond with the numbers on the list are chosen. What type of sampling was used
The type of sampling used in this scenario is called random sampling. Random sampling is a method of selecting a sample from a population in which every member of the population has an equal chance of being selected.
In this case, the computer generated 100 random numbers, which means that each number had an equal chance of being selected. Then, 100 people whose names corresponded with the numbers on the list were chosen, which means that each person whose name was on the list also had an equal chance of being selected.
Random sampling is a common method of sampling because it helps to ensure that the sample is representative of the population and reduces the risk of bias
The type of sampling used in this scenario is Simple Random Sampling. This is because each person has an equal chance of being chosen, as their selection is based on random numbers generated by the computer.
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You perform a Chi-Square test and obtain a p-value lower than 0.01. What does that mean?
Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.
If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.
The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.
In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.
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GRAPH THE SOULUTION OF t/-12 + 4 ≤ 6
USING A NUMBERLINE
HELP MEE PLEASE ASAPPP!!
The given inequality t/-12 + 4 ≤ 6 becomes t ≥ -24 on simplification and this inequality is represented on a number line in attached graph.
What is inequality?
In mathematics, an inequality is a statement of the order of a connection between two numbers or algebraic expressions: greater than, greater than or equal to, less than, or less than or equal to. Either questions or theorems can be used to express inequality problems, and both can be solved using methods similar to those used to solve equations.
Given inequality,
t/-12 + 4 ≤ 6
This inequality can be written as:
t/-12 ≤ 6 - 4
t/-12 ≤ 2
t ≥ 2(-12)
t ≥ -24
The inequality, t ≥ -24 is represented on a number line in attached graph.
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Answer:
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Step-by-step explanation:
A certain population of bacteria has an initial population of 225. the bacteria triples every hour. determine the multiplier that would allow you to predict the population of bacteria after 2 hours.
Using an exponential function, it is found that the multiplier that would allow you to predict the population of bacteria after 2 hours is of 9.
What is an exponential function?An exponential function is modeled by:
\(y = ab^x\)
In which:
a is the initial value.b is the growth rate.In this problem, the bacteria triples every hour, hence the rate of change is b = 3, and the equation is:
\(y = a(3)^x\)
Hence, after 2 hours:
\(y = a(3)^2 = 9a\)
Which means that the multiplier is of 9.
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