The 95% confidence interval for the population standard deviation σ, based on a random sample of 15 crates with a mean weight of 165.2 pounds and a standard deviation of 10.4 pounds, is approximately (7.991, 18.292) pounds.
To construct a confidence interval for the population standard deviation σ, we can use the chi-square distribution. The formula for the confidence interval is given as:
Lower Limit = (n - 1) * s^2 / χ^2(α/2, n-1)
Upper Limit = (n - 1) * s^2 / χ^2(1 - α/2, n-1)
Where n is the sample size, s is the sample standard deviation, χ^2(α/2, n-1) represents the chi-square value at α/2 with n-1 degrees of freedom, and χ^2(1 - α/2, n-1) represents the chi-square value at 1 - α/2 with n-1 degrees of freedom.
Given the sample size of 15, sample standard deviation of 10.4 pounds, and a desired confidence level of 95% (α = 0.05), we can find the appropriate chi-square values and calculate the lower and upper limits of the confidence interval.
By substituting the values into the formula, we find that the lower limit is approximately 7.991 pounds and the upper limit is approximately 18.292 pounds. This means we can be 95% confident that the population standard deviation falls within this range.
Constructing confidence intervals helps us estimate the range in which the true population parameter lies, providing valuable information for decision-making and further analysis.
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Complete question:
Construct a 95% confidence interval for the population standard deviatation\sigmaof a random sample of 15 crates which have a mean weight of 165.2 pounds and a standard deviation of 10.4 pounds. Assume the population is normally distributed.
Adela paid $54.60 for 4 tickets at the skating rink. Calculate the unit rate per ticket.
Answer: $13.65 per ticket
Step-by-step explanation:
54.6/4
What is the slope of the line segment with endpoints (‒4, 3) and (6, ‒2)?
Answer:
m = -5 / 10 = -1 / 2 = -0.5
Step-by-step explanation:
what is z=xy solve for y
Z = xy
To solve for y, divide both sides by x.
Y = z/x
Answer:
\(\underline{z = xy} \\ \boxed{ y = \frac{z}{x} }\)
y=z/x is the right answer.What is the answer in---- increase the difference between 456.674 and 234.458 by 345.856?
Answer:
Step-by-step explanation:
To increase the difference between 456.674 and 234.458 by 345.856, we follow the following steps :
Step 1: Subtract 456.674 from 234.458 and,
Step 2: Add 345.856 to the result.
so, 456.674 - 234.458 = 222.216
222.216 + 345.856 = 568.072
Therefore, the increased difference between 456.674 and 234.458 by 345.856 is 568.072
Find an equation of the line through (3,6) and parallel to y = 4x - 7.
Answer:
\(y=4x-6\)
Step-by-step explanation:
Okay, to do this we must understand what parallel means.
parallel means that that one line will NEVER touch the other. In order for this to happen they must be increasing (or decreasing) by the SAME rate. I.e the slope of your line must be the same as the lin in question thus our equation looks like,
\(y=4x+c\).
Now lets find \(c\).
To do this, plug the point (3,6) into the equation
6=4(3)+C
6=12+C
-6=C
Thus now that we know C, our equaiton is
\(y=4x-6\)
Answer:
y = 4 x - 6
Step-by-step explanation:
We have to know that,
If two lines are parallel the slopes of the two lines are equal but not the y - intercept.
In the equation,
y = m x + c
m ⇒ slope
c ⇒ y - intercept.
According to the question,
the equation they have given is,
y = 4x - 7
We have already find the slope of the new line.
That is,
m = slope = 4 (because the 2 lines are parallel)
Now we have to find y - intercept.
Let us find now.
( 3 , 6 ) ⇔ ( x , y )
y = m x + c
6 = 4 × 3 + c
6 = 12 + c
6 - 12 = c
-6 = c
There fore, the equation of the new line is,
y = m x + c
y = 4 x - 6
Hope this helps you :-)
Let me know if you have any other questions :-)
a%b when a=2 and b=1/2
Answer:
0.01
Step-by-step explanation:
A coat that usually costs $120.00 is marked 1/3 off. What is the sale price of the coat?
Answer:
$120 + -33% = $80.40
Step-by-step explanation:
Carol wants to tile her utility room. Each tile is 1 square foot. She draws the shape of her room on a grid. Each square unit on the grid represents 1 square foot. How many tiles will she need?
Answer:
1
Step-by-step explanation:
that's a very vague question
Anatoliy has a combination of 104 nickels and quarters totaling $22. which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, anatoliy has?
The system of linear equation which can be used to find the number of nickles n, and quarters q Anatoily has are n + q = 104 and 1/20(104 - q) + (1/4)q = 22there are total 20 nickels and 84 quarters Anatoily has.
According to the given question.
Total number of nickles and quarters Anatoily have is 104.
'n' represents the total numbers of nickles and 'q' represents total number of quarters. So, the linear equation which represents the given condition
⇒ n + q = 104
Since, 20nickles = 1 dollar
⇒ 1 nickle = 1/20 dollar
And, 4 quarters = 1 dollar
⇒ 1quarter = 1/4 dollar
Here, it is also given that combination of 104 nickels and quarters totaling $22.
So, we have an other linear equation $(1/20)n + $(1/4)q = $22
Form
n + q = 104
We can write
n = 104 - q
Substitute the value of n in $(1/20)n + $(1/4)q = $22
Therefore,
$1/20(104 - q) + $(1/4)q = $22
⇒ 5.2 - q/20 + q/4 = 22
⇒ 5.2 + (-q + 5q)/20 = 22
⇒ 5.2 + 4q/20 = 22
⇒ 5.2 + q/5 = 22
⇒ q/5 = 22 - 5.2
⇒ q/5 = 16.8
⇒ q = 16.8 × 5
⇒ q = 84
Therefore,
n = 104 - 84
⇒ n = 20
Hence, the system of linear equation which can be used to find the number of nickles n, and quarters q Anatoily has are n + q = 104 and 1/20(104 - q) + (1/4)q = 22there are total 20 nickels and 84 quarters Anatoily has.
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7(x + 2) = 7x + 14 i dont get this someone pls help
Answer:
7
(
x
−
2
)
−
7
x
−
14
=
0
7
(
x
−
2
)
−
7
x
−
14
=
07
(
x
−
2
)
−
7
x
−
14
=
0
Step-by-step explanation:
Answer: 0 = 0
Step-by-step explanation: i showed the steps with these screen shots
A graduate student wants to test whether a reading curriculum is better than a computerized reading lab application, by comparing the reading test scores between a group who only gets the lab and another group who only gets the curriculum. Students are assigned to one or the other reading instructional group based on their schedules: lab is in the morning, the curriculum is offered in the afternoon. What type of experimental design is this? Comparison groups Time series analysis Randomized control and experimental groups Randomized block design
Answer:
Comparison Group
Step-by-step explanation:
Answered this question for another person on Brainly :)
Answer:
Randomized control and experimental groups
A solid wood cone 12 cm in diameter and 8 cm high sells for $1.19. A second wood cone is 17 cm in diameter and 12 cm high. the fair price for this second cone rounded to the nearest cent, is
a) $2.53,
b) $3.58
c) $5.06
d) $10.75
e) $14.33
Answer:
Answer is a
Step-by-step explanation:
I think it's "A", im looking for answer as well :(
If f(x)= 2x-5, then what is the value of f(2) + f(5)
Answer:
4
Step-by-step explanation:
replace x with 2 then you get -1
Next step replace x with 5 then u get 5
Add 5 and -1. You get four.
The value of f(2) + f(5) in f(x) = 2x - 5 is 4.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, f(x)= 2x-5, therefore f(2) + f(5) can be obtained if we replace x with numerical values 2 and 5 in f(x) which is,
f(2) + f(5) = 2(2) - 5 + 2(5) - 5.
f(2) + f(5) = 4 - 5 + 10 - 5.
f(2) + f(5) = 4
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The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 309 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before days are considered premature. Round to the nearest integer as needed.)
a. The probability of a pregnancy lasting 309 days or longer is approximately 0.0035.
b. Babies born on or before 240 days are considered premature.
a. The probability of a pregnancy lasting 309 days or longer can be found by calculating the z-score and using the standard normal distribution table. First, we calculate the z-score using the formula:
z = (x - μ) / σ
where x is the desired value (309 days), μ is the mean (269 days), and σ is the standard deviation (15 days). Substituting the values, we get:
z = (309 - 269) / 15 = 40 / 15 = 2.67
Next, we look up the z-score of 2.67 in the standard normal distribution table and find the corresponding probability. The table shows that the area to the left of the z-score of 2.67 is approximately 0.9965. However, we are interested in the probability of the pregnancy lasting 309 days or longer, so we subtract this value from 1:
P(X ≥ 309) = 1 - 0.9965 = 0.0035
Therefore, the probability that a pregnancy will last 309 days or longer is approximately 0.0035.
b. To find the length that separates premature babies from those who are not premature, we need to determine the value that corresponds to the lowest 3% in the distribution. This is equivalent to finding the z-score that has an area of 0.03 to its left. We look up this z-score in the standard normal distribution table and find it to be approximately -1.88.
To find the corresponding length, we use the z-score formula:
z = (x - μ) / σ
Rearranging the formula to solve for x:
x = μ + z * σ
Substituting the values, we have:
x = 269 + (-1.88) * 15 = 269 - 28.2 = 240.8
Rounding to the nearest integer, we conclude that babies born on or before 240 days are considered premature.
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A chi-square test of independence is a one-tailed test. The reason is that Multiple Choice we are testing whether the frequencies exceed their expected values. we square the deviations, so the test statistic lies at or above zero. hypothesis tests are one-tailed tests when dealing with sample data. the chi-square distribution is positively skewed.
A chi-square test of independence is indeed a one-tailed test. The reason for this is that we are testing whether the observed frequencies of two categorical variables are significantly different from the expected frequencies.
We square the deviations between the observed and expected frequencies, and since deviations can only be positive, the test statistic always lies at or above zero. Hypothesis tests are one-tailed when dealing with sample data because we have a specific direction for our research question. In the case of a chi-square test of independence, we are interested in whether one variable is dependent on the other variable, so we have a directional hypothesis. Furthermore, the chi-square distribution is positively skewed, meaning that the majority of the distribution is on the right-hand side. This is important to consider when interpreting the results of a chi-square test.
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Factored Form:5r + 4r^4I NEED ALL THE EQUATION PLEASE
to factor we must recognize the elements in common
the r exist on both terms, so we can divide by r on each term to factor
\(undefined\)What is mean, median and mode?
4 6 7 7 9 11 13 14 15
A. Mean = 9.56 Median = 11 Mode = 7
B. Mean = 9 Median = 86 Mode = 7
C. Mean = 9.56 Median = 9 Mode = 7
D. Mean = 10.75 Median = 9 Mode = 7
Answer: A. Mean = 9.56, Median = 11, Mode = 7
Step-by-step explanation:
The mean, median and the mode for the given data is 9.56, 9, and 7 respectively.
How to find the mean, median, and mode of the data?Given data below:
4, 6, 7, 7, 9, 11, 13, 14, 15.In order to find the mean, it can be calculated by dividing a sum of all the data points with the number of data points in the data set.
The formula is:
\(\bar{M}=\dfrac{\sum M}{N}\)
\(\bar{M}=\dfrac{4+6+7+7+9+11+13+14+15}{9}\)
\(\bar{M}=\dfrac{86}{9}\)
\(\bar{M}=9.56\)
Next, we will find the median.
In order to find the median, we got to place the numbers in value order and find the middle.
So,
\(\text{Median}=9\)
Lastly, we will find the mode.
To find the mode, order the numbers lowest to highest and see which number appears the most often.
So,
\(\text{Mode}=7\)
Thus, the mean, median and the mode for the given data is 9.56, 9, and 7 respectively.
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What are 2 digit multiples of 27?
The first 20 multiples of 27 are as follows:
27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, and 540.
What are multiples?A multiple in mathematics is created by multiplying any number by an integer.
In other words, if b = na for some integer n, known as the multiplier, it can be said that b is a multiple of a given two numbers, a and b.
This is equivalent to stating that b/a is an integer if an is not zero.
A is known as a divisor of b when a and b are both integers and b is a multiple of a.
First 20 multiples of 27:
27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, and 540.
Therefore, the first 20 multiples of 27 are as follows:
27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, and 540.
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Correct question:
What are the first 20 multiples of 27?
help me please :)))))
Answer:
p=2/3 mn
p/n=2/3 m(
(3)p/n=2/3(3)m
3p/n=2m
3p/2n=2m/2
3p/2n=m (letter B)
Apply De Morgan's law repeatedly to each Boolean expression until the complement operations in the expression only operate on a single variable. For example, there should be no xy¯ or x+y¯ in the expression. Then apply the double complement law to any variable where the complement operation is applied twice. That is, replace x¯¯ with x.
a. 1/ x + yz + u b. 1/x(y + 2)u c. 1/(x + y)(uv + x y) d. 1/xy + yz + xz
The simplified expression using De Morgan's law are a)x'y'z'u b)x'y'u c): x'y'u and d)x'y'z'+xy'z'+xyz.
The main idea is to simplify each Boolean expression by repeatedly applying De Morgan's law until each complement operation operates on a single variable.
Then, apply the double complement law to simplify the expression further. In the end, the simplified expression should contain only AND and OR operations without any complement operators acting on multiple variables.
a. 1/ x + yz + u can be simplified using De Morgan's law to: (x'y'z')u'. Then, applying the double complement law, we get the simplified expression as: x'y'z'u.
b. 1/x(y + 2)u can be simplified using De Morgan's law to: x'(y'+2')u'. Then, applying the double complement law, we get the simplified expression as: x'y'u.
c. 1/(x + y)(uv + xy) can be simplified using De Morgan's law to: (x'y')(u' + x'y'). Then, applying the double complement law, we get the simplified expression as: x'y'u.
d. 1/xy + yz + xz can be simplified using De Morgan's law to: (x'+y')(y'+z')(x'+z'). Then, applying the double complement law, we get the simplified expression as: x'y'z'+xy'z'+xyz.
In summary, to simplify Boolean expressions, we can apply De Morgan's law repeatedly and then use the double complement law to remove complement operators acting on a single variable twice.
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how do you solve this?? please answer quick!!
Answer:
X is 10 Y is 6
Step-by-step explanation:
Find the square root of the following decimal numbers.
(b) 0.0016
The square root of the decimal number is √0.0016 = 0.04
How to find the square root of the decimal number?Here we can find the square root of the decimal number:
N = 0.0016
Notice that we can write this number as:
0.0016 = 16*10⁻⁴
Now we can take the square root of that, so we will get:
√(16*10⁻⁴)
We can distribute the square root to get:
√16*√10⁻⁴
These two are easy, we will get:
√16*√10⁻⁴ = 4*10⁻² = 0.04
That is the square root.
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what is 9-3 divied by 1/3 + 1 =
Answer:
1
Step-by-step explanation:
3 divided by 1/3 is 9, and 9-9=0
0+1=1
1
Step-by-step explanation:
Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56.
What are the odds in favor of Adam seeing a meteor in the next 10 minutes?
Answer: The odds in favor of an event happening are the ratio of the probability of the event happening to the probability of the event not happening. To find the odds in favor of an event, you can use the formula:
Odds in favor = probability of event occurring / (1 - probability of event occurring)
In this case, the event is that Adam will see a meteor in the next 10 minutes. The probability that this event will occur is 0.56. Therefore, the odds in favor of this event occurring are:
Odds in favor = 0.56 / (1 - 0.56)
= 0.56 / 0.44
= 1.27
So, the odds in favor of Adam seeing a meteor in the next 10 minutes are 1.27 to 1.
It means that Adam is 1.27 times more likely to see a meteor in the next 10 minutes than not seeing one.
Step-by-step explanation:
The odds in favor of Adam seeing a meteor in the next 10 minutes are 14 : 11
What is the end behavior of the graph of
?
Question 9 options:
as x increases, f(x) increases
as x decreases, f(x) decreases
as x increases, f(x) increases;
as x decreases, f(x) increases
as x increases, f(x) decreases;
as x decreases, f(x) increases
as x increases, f(x) decreases;
as x decreases, f(x) decreases
The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.
What is the end behavior about?The end behavior of a function f tells us that the way that the graph function behaves at the "ends" of the x-axis.
Note that the end behavior of a function tells the trend of the graph and in this graph, f(x) -----> +∞ as x----> -∞ (as the value of x decreases the value of f(x) increases) and f(x) -----> -∞ as x----> +∞ (as the value of x increases the value of f(x) decreases).
Therefore, The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.
See full question below
What is the end behavior of the graph of f(x) = -0.25x2 - 2x + 1?
A) As x increases, f(x) increases. As x decreases, f(x) decreases.
B) As x increases, f(x) decreases. As x decreases, f(x) decreases.
C) As x increases, f(x) increases. As x decreases, f(x) increases.
D) As x increases, f(x) decreases. As x decreases, f(x) increases
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Mast 1 broadcast radio signals that can be heard within a radius of 15km.
Mast 2 broadcast radio signals that can be hear within a radius of 20km.
The difference in the areas of the signals based on the information given is 549.5km².
How to calculate the area?The formula to calculate the area of a circle will be:
= πr²
where r = radius
Mast 1 broadcast radio signals that can be heard within a radius of 15km. The area will be:
= πr²
= 3.14 × 15²
= 706.5km²
Mast 2 broadcast radio signals that can be hear within a radius of 20km. The area will be:
= πr²
= 3.14 × 20²
= 1256km²
The difference in the areas will be:
= 1256km² - 706.5km²
= 549.5km²
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Complete question
Mast 1 broadcast radio signals that can be heard within a radius of 15km.
Mast 2 broadcast radio signals that can be hear within a radius of 20km.
Calculate the difference in the areas of the signals.
.can two angles be supplementary if both of them are:, 1 acute? 2 obtuse? 3 right?
Answer:
ii) Obtuse? iii) Right? Thus, the two acute angles cannot be supplementary angles. Thus, the two obtuses angles cannot be supplementary angles.
Answer:
since acute angles obtuse angles cannot be supplementary angles Thus, right angles are supplementary angles
Jessie brought 3 1/5?cups of water on
a hike. If he drinks 2/5 cup of water
each hour, how many hours will he
have water for?
Answer:
8 hours
Step-by-step explanation:
3 1/5 cups, he drinks 2/5 cups every hour
to find the number of hours he has water for, divide the 2 numbers
3 1/5 = 16/5
16/5 divided by 2/5 is equal to 16/5 times 5/2
80/10 equals 8, so he will have water for 8 hours
how many ways to arrange 12 identical apples and five distinct oranges in a row so no two oranges are side by side?
There are 1287 different ways to arrange five different oranges and 12 different apples so that no two oranges are next to each other.
Explain the term combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the ordering of the selection is meaningless. You can choose the constituents of combos in any order. Permutations and combinations can be conflated.For the data given in the question-
There are 12 identical apples and five distinct oranges.
Arrange them such that no two oranges are side by side.
The separator method, which uses the apples as separators, was used to solve this puzzle.
_1_1_1_1_1_1_1_1_1_1_1_1_
Due to the fact that there are currently 13 empty spots,
Number of ways = ¹³C₅
¹³C₅ = 1287 ways.
Thus, there are 1287 different ways to arrange five different oranges and 12 different apples so that no two oranges are next to each other.
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The sum of an integer and 6 times the next consecutive integer is -50. Find the
value of the greater integer.
Answer:
Submit Answer
Dar
The value of the greater integer is -8.
Given,
The sum of an integer and 6 times the next consecutive integer = -50
We have to find the value of the greater integer:
Let's take x as the integer.
Next consecutive integer be (x + 1)
Now,
x + 6(x + 1) = -50
x + 6x + 6 = -50
7x + 6 = -50
7x = -50 - 6
7x = -56
x = -56/7
x = -8
The value of x is -8.
Now,
x + 1 = -8 + 1 = -7
That is,
-8 + (6 × -7) = -50
-8 -42 = -50
Here, the integers are of negative values.
So, the value of greater integer be -8.
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