Answer:
the answer would be 80% just divide 16 out of 20
dr carl is a mathematics and statistics lecturer. he is interested in studying a new approach at teaching mathematics and statistics in high school. recently this new approach has been adopted. it was previously the case that the mean score for all high school students doing their end of year exam was 71, however, the population standard deviation is unknown. the scores of all students are approximately normally distributed. he thinks that, with this new teaching approach, the mean score may have increased. a random sample of 39 scores is gathered and the sample mean and standard deviation calculated. dr carl will conduct a hypothesis test using a level of significance of 0.01. select the correct null and alternative hypotheses for this test:
The test is one-tailed to the right due to the Alternate hypothesis.
In a hypothesis test, a Null hypothesis (H0) is a statement of "no effect" or "no difference," whereas the Alternate hypothesis (HA) is a statement of "some effect" or "some difference." Here are the correct null and alternative hypotheses for the given scenario: Null hypothesis: H0: μ = 71, Alternative hypothesis: HA: μ > 71 (One-tailed test) we have a one-tailed hypothesis test since the research hypothesis is directed. In a one-tailed test, we're looking for a difference in one direction only. In this case, Dr Carl thinks that there has been an improvement, so the alternative hypothesis reflects this. Therefore, the test is one-tailed to the right.
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Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town Hall.
The length of the straight line calculated between school and the fire station is equal to 4.6 miles ( nearest tenth ).
Location of town hall is 4.3 miles directly east of the middle school.
Location of fire station is 1.7 miles directly north of town hall.
To find the length of the straight line between the school and the fire station,
Apply the Pythagorean theorem,
Which states that in a right triangle the square of the length of the hypotenuse the longest side is equal to the sum of the squares of the lengths of the other two sides.
In this case, the distance between the school and Town Hall, and the distance between Town Hall and the fire station form a right triangle,
So, we can calculate the length of the hypotenuse as,
√(4.3² + 1.7²)
≈ √(18.49 + 2.89)
≈ √21.38
≈ 4.62
≈ 4.6 miles ( Rounding to the nearest tenth)
Therefore, the length of the straight line between the school and the fire station is approximately 4.6 miles.
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The above question is incomplete, the complete question is:
Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town Hall. What is the length of a straight line between the school and the fire station? Round to the nearest tenth.
A 95% confidence interval for the proportion of viewers of a certain reality television show who are over age 30 is (0.26, 0.35). The show's producers want to test the hypothesis H.: p=0.25 against H:p=0.25. Which of the following is an appropriate conclusion for them to draw? (a) Reject H, at both a = 0.01 and a =0.05. (6) Reject H, at a=0.05. (c) Fail to reject H, at a=0.05 but reject at a =0.01. (d) Reject H, at a=0.10, fail to reject for any smaller a level. (e) The producers do not have enough information to perform a test of significance.
The null hypothesis can be rejected at α = 0.01 but not at α = 0.05 level of significance. Hence the correct option is option (c)Fail to reject H, at a=0.05 but reject at a =0.01.
A 95% confidence interval for the proportion of viewers of a certain reality television show who are over age 30 is (0.26, 0.35). The show's producers want to test the hypothesis H.: p=0.25 against H:p=0.25. The appropriate conclusion that the producers can draw is that they can fail to reject H, at a=0.05 but reject at a =0.01.
Hypothesis testing is a systematic procedure for selecting the best feasible hypothesis for a particular set of data. It is a decision-making method for statistical hypothesis testing of the validity of a statement regarding a population parameter.
The following are the hypothesis statements of the problem:
Hypothesis H0: p = 0.25 (Null Hypothesis)Hypothesis Ha: p ≠ 0.25 (Alternative Hypothesis)Hypothesis testing at α = 0.05 level of significance can be performed using the following formula:
Z= (p - Po) / [Po (1 - Po)/ n]Where, Po = 0.25p = (0.26+0.35)/2 = 0.305n = (Zα/2/ E)^2 = (1.96 / 0.04)^2 = 240.1Z = (0.305 - 0.25) / [0.25 (1 - 0.25)/ 240.1] = 3.18For a two-tailed test at α = 0.05, the Z critical values are Zα/2 = ±1.96.The Z value calculated (3.18) is greater than Z critical value (1.96).
Therefore, the null hypothesis can be rejected at α = 0.01 but not at α = 0.05 level of significance. Hence the correct option is option (c)Fail to reject H, at a=0.05 but reject at a =0.01.
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______ is one of the three basic ways of explaining the results of a research investigation. Group of answer choices Comparing variable quantities Graphing relationships between variables Comparing group percentages Making precise statements about data by correlating the scores of individuals on two variables
Inferential statistics is one of the three basic ways of explaining the results of a research investigation. Group of answer choices Comparing variable quantities Graphing relationships between variables Comparing group percentages Making precise statements about data by correlating the scores of individuals on two variables.
Making precise statements about data by correlating the scores of individuals on two variables is one of the three basic ways of explaining the results of a research investigation.
This is also known as inferential statistics, which involves making predictions or generalizations about a larger population based on sample data.
The other two basic ways of explaining research results are descriptive statistics, which involves summarizing and describing the characteristics of a sample, and graphical representation, which involves using visual aids to display data and relationships between variables.
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(2.5 x 104) – (1.4 x 10')
A) 2.36 x 104
B) 2.48 x 104
C) 23.6 x 103
D) 1.1 x 101
Answer:
The answer is 246 simplified so A
Step-by-step explanation:
if a distribution of scores is shown in a bar graph, you know that the scores were measured on a(n) _________ scale of measurement.
If a distribution of scores is shown in a bar graph, it suggests that the scores were measured on an ordinal scale of measurement.
An ordinal scale is a type of measurement scale that categorizes and orders variables or data points based on their relative ranking or position. In this case, the bar graph represents the frequencies or counts of different categories or ranges of scores, indicating an ordered arrangement of the data. However, the bar graph alone does not provide information about the exact numerical differences between the scores or their precise magnitudes.
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Select the correct answer.
Which data set has the widest spread?
A.
data set A: 3, 1, 2, 6, 7, 2, 5
B.
data set B: 4, 9, 4, 5, 3, 6, 8
C.
data set C: 1, 4, 6, 5, 7, 8, 5
D.
data set D: 4, 3, 4, 7, 2, 3, 1
E.
data set E: 5, 1, 4, 2, 6, 9, 2
Answer:
E.
data set E: 5, 1, 4, 2, 6, 9, 2
Step-by-step explanation:
If f(x) = 3^x + 10 and g(x) = 2x − 4, find (ƒ+g)(x)
Answer:
3^x+12x-4
Step-by-step explanation:
(f+g)(x) = f(x) + g(x) = 3^x + 10x + 2x - 4 = 3^x + 12x - 4
When you are finding a percent of a number or price, you need to convert the percent to a
Answer:
When you are finding a percent of a number or price, you need to convert the percent to a decimal.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
if we compute a 95onfidence interval 12.65 ≤ μ ≤ 25.65 , then we can conclude that.
Based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.
A confidence interval is a range of values that provides an estimate of the true population parameter. In this case, we are interested in estimating the population mean (μ). The 95% confidence interval, as mentioned, is given as 12.65 ≤ μ ≤ 25.65.
Interpreting this confidence interval, we can say that if we were to repeat the sampling process many times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true population mean.
The confidence level chosen, 95%, represents the probability that the interval captures the true population mean. It is a measure of the confidence or certainty we have in the estimation. However, it does not guarantee that a specific interval from a particular sample contains the true population mean.
Therefore, based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.
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use function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.
However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.
Let's consider that s be the length of a side of the regular pentagon.
The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm
Also,
we have the formula for the area of a regular pentagon as:
\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)
where a is the length of a side of the pentagon.
In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.
Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)
Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.
The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.
In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.
However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.
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I can’t find answers to this question. Please help.
Answer:
Did you try looking it up
Step-by-step explanation:
sorry If I am wrong and don't forget to make me brainliest
identify the missing number 41, 48,33,40,62,55,54,?,
Answer:
47
Hope it helps
Please mark me as the brainliest
Thank you
Answer:
can I get how you solved it
A random variable X is uniformly distributed in the interval (4, 8).
(1) Find E (X).
(2): Find Var (X).
(3): What is its moment generating function?
A random variable X uniformly distributed in the interval (4, 8) has an expected value of 6, a variance of 4/3, and its moment generating function involves the antiderivative of \(e^{(tx)\).
(1) To find the expected value (E[X]) of a uniformly distributed random variable X in the interval (4, 8), we can use the formula for the expected value of a continuous random variable:
E[X] = (a + b) / 2
In this case, a = 4 and b = 8. Substituting these values into the formula, we get:
E[X] = (4 + 8) / 2
= 12 / 2
= 6
Therefore, the variance expected value of X is 6.
(2) To find the variance (Var[X]) of a uniformly distributed random variable X, we can use the formula for the variance of a continuous random variable:
Var[X] = (b - a) / 12
In this case, a = 4 and b = 8. Substituting these values into the formula, we get:
Var[X] = (8 - 4)² / 12
= 4² / 12
= 16 / 12
= 4 / 3
Therefore, the variance of X is 4/3.
(3) The moment generating function (MGF) of a random variable X is given by:
M(t) = E[\(e^{(tX)\)]
For a uniformly distributed random variable X in the interval (4, 8), we can calculate its moment generating function as follows:
M(t) = E[\(e^{(tX)\)] = ∫[a,b] (1 / (b - a)) * \(e^{(tx)\) dx
Substituting a = 4 and b = 8, we have:
M(t) = ∫[4,8] (1 / (8 - 4)) * \(e^{(tx)\)dx
= (1 / 4) * ∫[4,8] \(e^{(tx)\) dx
To evaluate this integral, we need to calculate the antiderivative of \(e^{(tx)\). The result will be a function of t.
Therefore, A random variable X uniformly distributed in the interval (4, 8) has an expected value of 6, a variance of 4/3, and its moment generating function involves the antiderivative of \(e^{(tx)\)
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: 1. Two equilateral triangles are always similar. 2. The diagonals of a rhombus are perpendicular to each other. 3. For any event, 0
Both the given statements are true
1. Two equilateral triangles are always similar: True.
An equilateral triangle is a triangle in which all three sides are equal. Since two equilateral triangles have the same shape and size, they are always similar. Similarity means that the corresponding angles are equal, and the corresponding sides are in proportion.
2. The diagonals of a rhombus are perpendicular to each other: True.
In a rhombus, opposite sides are parallel, and all sides have equal length. The diagonals of a rhombus bisect each other at right angles, which means they are perpendicular to each other. This property holds true for all rhombuses, regardless of their size or orientation.
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Given question is incomplete, the complete question is below
State true or false
1. Two equilateral triangles are always similar.
2. The diagonals of a rhombus are perpendicular to each other.
how to do this equation y=2x-10 and 2y=x-8
Answer:
y=2x-10
2y=x-8
since the second equation equals 2y and the first is y that means the first equation times 2 equals the other one
4x-20=x-8
-x
3x-20=-8
+20
3x=12
x=4
then lets just plug it in
2y=4-8
simplefy
2y=-4
y=-2
(4,-2)
Hope This Helps!!!
PLEASE HELP GIVING BRAINLIEST
Answer:
see explanation
Step-by-step explanation:
x and x - 20 are adjacent angles and are supplementary , thus
x + x - 20 = 180
2x - 20 = 180 ( add 20 to both sides )
2x = 200 ( divide both sides by 2 )
x = 100
x - 20 = 100 - 20 = 80
------------------------------------------------------------
11x - 2 and 75 are corresponding angles and are congruent, thus
11x - 2 = 75 ( add 2 to both sides )
11x = 77 ( divide both sides by 11 )
x = 7
11x - 2 = 11(7) - 2 = 77 - 2 = 75
pie charts are most effective with ten or fewer slices.
Answer:
True
Step-by-step explanation:
When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.
Which FAR Part 77 imaginary surface has slopes that may range from 20:1 to 50:1?
The primary surface
The horizontal surface
The approach surface
The conical surface
The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.
The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.
Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.
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the event that consists of all outcomes that are contained in one event or a second event is the: a. complement b. intersection c. union d. condition
The combination of two events consisting of all outcomes that are contained in one event or a second event is:
The Union
The correct option is (c)
The union sets are the sets containing all elements that are in A or in B (possibly both). We write the (A ∪ B)
The event A occurs the outcome is contained in A. For any two events A and B, we define the new event A ∪ B, called the union of events A and B. It also says that: The combination of two events consisting of all outcomes that are contained in one event or a second event is: The Union
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The given question is incomplete, complete question is:
The combination of two events consisting of all outcomes that are contained in one event or a second event is :
a. complement b. intersection c. union d. condition
Simplify the equation
please help im lost
The simplification of the given equation gives the value of 't' as 0.0368.
Explain the logarithm function?When viewed as an exponential form, the logarithm of every number N is the exponent for which the base of a logarithm should be raised in order to reach the value of N.For the given equation,
580 = 500(1 + 0.03/4)∧4t
Divide booth side by
(1 + 0.03/4)∧4t = 1.16
Simplify the left term.
(1.0075)∧4t = 1.16
Taking log both side.
㏑ (1.0075)∧4t = ㏑ 1.16
Applying the power rule of log.
4t x (1.0075) = ㏑ 1.16
t = ㏑ 1.16/(4 x 1.0075)
Simplify the result.
t = ㏑ 1.16/4.03
t = 0.0368
Thus, the simplification of the given equation gives the value of 't' as 0.0368.
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How do I multiply 24 times 18
Answer:
432
Step-by-step explanation:
The multiplication of number 24 times 18 gives the result 432.
To multiply 24 by 18, you can follow the standard multiplication algorithm:
24
x 18
-----
192 (24 multiplied by 8)
240 (24 multiplied by 10)
-----
432 (The final product)
Therefore, 24 multiplied by 18 equals 432.
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A home is purchased for $60,000 in 2001 and sold for $225,000 in 2021. Plot this on a graph. Then draw 2 lines, 1 mapping a linear relationship, and the other mapping an exponential one.
A. What is the average rate of change
B. Which model (linear or exponential) has a higher rate of change from 2010-2021?
C. What is the approximate value of the linear model in 2008?
Answer:
a. 3.6
b Linear
c. 2.13333
Plot a graph going up vertically by amounts 30,000 would be = 1
60,.000 would be = 2, 90,000 would be = 3 etc.
225,000 would show between 7 and 8. where marks of 15/30 = 1/2 would be counted back from 240,000 to 225,000 and between 210,000 to 240,000
After mapping the x rate must be 1 for both linear and for exponential.
The average rate of change is found when 60k = 2 and 225k = 7.5 is increasing and years shown 2001 to 2021 are shown on x axis.
= 20 years
Therefore linear shows 2 when x = 1 then shows 7.5 when x = 20
20/7.5 = 2.6
Therefore, this relationship is linear because each yyy-value is 7.5/20 more than the value before it. The x value goes up by 1 each value of 0.37 for y
When the value is exponential the y value should go up by 1 and as it is 30,000 each 1 value and x =1 goes up 2 2/3 = 2.6667 for every 30.000k to every x value.
A. 2 -2 2/3 = 2.31555.. average rate of change.for exponential and between 3.5 and 3.7 = 3.6 average rate of change for linear.
B linear
C 2008 = 8 YEARS 8/20 X 2 = 0.8
0.8 X 2 2/3= 2.13333333 is the app value of the linear model 2008.
The number of employees in each industry in Seattle was recorded and rounded to the nearest
10 thousand. The results are displayed in the dot plot above. According to the dot plot, what is
the median number of employees, in thousands?
Answer:
20
Step-by-step explanation:
write a for loop that prints the integers 0 through 39, each value on a separate line.
In programming, a loop is a control structure that allows us to execute a block of code repeatedly. A for loop is a type of loop that is commonly used when we need to repeat a set of instructions for a specific number of times.
In this case, we want to print the integers 0 through 39, each value on a separate line.
Here's an example of a for loop in Python that accomplishes this:
for i in range(40):
print(i)
In this loop, the variable `i` takes on the values 0 through 39, one at a time, on each iteration of the loop. The range(40) function generates a sequence of integers from 0 to 39, which is used to control the loop.
The print() function outputs the value of `i` to the console on each iteration, followed by a newline character which creates a new line for each value.
To break this down further, the 'for' keyword initiates the loop and the `in` keyword specifies the range of values for the loop. The `range()` function generates a sequence of integers starting at 0 and ending at 39.
The `print()` function outputs each value to the console followed by a newline character which creates a new line for each value. This loop will execute a total of 40 times, printing each value on a separate line.
In summary, the for loop is a powerful and flexible tool in programming that allows us to automate repetitive tasks. In this example, we used a for loop to print the integers 0 through 39, each on a separate line, in a concise and efficient manner.
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From a temperature of -29.03° F, a solution heats up 26.5° F.
What is the resulting temperature of the solution?
Think about the situation. What operation does the situation require?
Drag a word to the box to correctly complete the statement.
Answer:
Remember, a positive and a negative while being added is always a negative outcome, so when you add -29.03 + 26.5, you get -2.53
When can parallelism make your algorithms run faster when could it make your algorithms run slower?
When an algorithm necessitates extensive sharing of instantaneous results, parallelism slows it down. Because there are multiple independent parallel processes and the right number of threads, parallelism will speed up an algorithm.
What algorithm is parallelizable?The ones with data dependencies are the most challenging. It will be exceedingly challenging, for instance, if you are dealing with a vector and the input for the computation at point n depends on the output at position n-1.
When this occurs, you must comprehend what the original algorithm is doing and take an alternative approach. For the aforementioned case, it might be a difficulty with digital signal processing including a feedback-containing digital filter. These are challenging to parallelize, but that is not the sole solution. Instead, you might use the filter and signal's fast Fourier transforms, multiply them, and then perform the inverse transform. All of these operations can be partially parallelized.
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factor to write an equivalent expression 36x-16
Answer:
\(36x - 16 = 4(9x - 4)\)
7. Suppose that Trevor takes out 1 marble, and holds on to it, then takes out 1 pointanother marble. What is the probability that both marbles will be black inthis situation?
The probability that both marbles will be black is 1/7
Here, we want to get a probability
Firstly, the total number of marbles is 3 + 4 = 7 marbles
Firstly, he takes out 1 marble
The probability that this is black will be the number of black marbles divided by the total number of marbles which is 3/7
Now, in the bag, there would be 6 marbles left and 2 black marbles
The probability of now selecting a black marble would be 2/6
Finally, the probability that both marbles will be black in the situation would be the product of this two probability
We have this as;
\(\frac{3}{7}\times\frac{2}{6}\text{ = }\frac{1}{7}\)what is the equation a line passes through the points p(2,4) q(-1,3)