The range of the population standard deviation with a 95% confidence level = 0.33 ≤ σ ≤ 0.87.
What does the population mean in terms of standard deviation?A data distribution's spread is measured by standard deviation. It calculates the average separation between each data point. Whether we consider the data to be a population unto itself or a sample of a larger population affects the formula we use to calculate standard deviation.
According to the given data:Sample data, x: {6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7}
Sample size n = 10
Applying chi-square statistics with df=n-1=9-1=8
now 95% confidence interval is given by:
= [tex]\sqrt{\frac{(n-1) S^2}{\chi_{8,0.025}^2}} < \sigma < \sqrt{\frac{(n-1) S^2}{\chi_{8,0.975}^2}}[/tex]
= [tex]\sqrt{\frac{(9-1) * 0.462^2}{17.53}} < \sigma < \sqrt{\frac{(9-1) * 0.462^2}{2.18}}[/tex]
= 0.107 ≤ σ² ≤ 0.757
= 0.33 ≤ σ ≤ 0.87
The range of the population standard deviation with a 95% confidence level = 0.33 ≤ σ ≤ 0.87.
To know more about standard deviation visit:
https://brainly.com/question/16555520
#SPJ4
I understand that the question you are looking for is:
The values listed below are waiting times (in minutes) of customers at the Jefferson Valley Bank, where customers enter a single waiting line that feeds three teller windows. Find the sample variance s2 then construct a 95% confidence interval for the population standard deviation σ. Round sample variance to three decimal places. Assume that the population has a normal distribution. Critical values should have three decimal places and confidence interval limits should have two decimal places.
6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7
Sandra's bicycle is old and rusty. Her parents won't buy her a new one unless she does more chores around the house. Sandra's dad said he will buy a new bicycle if Sandra mows the lawn, rakes the leaves, and washes the windows every weekend for 16 weeks in a row. Sandra is very motivated and does her chores for 3 weeks straight.
Which equation can Sandra use to find how many more weeks w she needs to do her chores before her parents will buy her a new bicycle?
Answer:W=16-3
Step-by-step explanation:
W is how many more weeks she has to work
she needs to work a total of 16 weeks and she has worked for 3 so far to find the total number of weeks she still needs to work she would take 16-3=13 13=W
Help me pleaseeeee!!!!!!!
Answer:
domain ( - ∞, ∞ )
Step-by-step explanation:
there is no endpoint at either end of the line and it continues forever in both directions, then
domain is ( - ∞, ∞ )
Answer:
(-infinity, +infinity)
Step-by-step explanation:
(-infinity,+infinity) because at quadrant III, the line is extending forever into negative infinity, and in quadrant IV, the line is extending forever into positive infinity
if you are riding on a ferris wheel that is 60 feet tall and it takes you 5 minutes
Answer:
0.62 feet per second
Step-by-step explanation:
A grocery store sells a bag for six oranges for 2.34 is mav spent 1.95 on oranges how many did she buy
Answer:
Mav bought 5 oranges.
Step-by-step explanation:
$2.34 ÷ 6 oranges = $0.39 ( Price per orange)
$0.39 x 5 oranges = $1.95
1. Is there a triangle with two right angles?
Answer:
A triangle can't have two right angles. If a triangle has two right angles, then the sum of its three angles will be more than the two right angles i.e. more than 180∘ which is impossible.
Answer:
No, it is not possible for a triangle to have two right angles because a triangle's angles add up to 180 degrees, and two right angles add up to 180. A triangle also has three angles, so the third angle cannot be 0 degrees.
Can somebody help me find this missing angle please.
Answer:
x = 96 degrees
Step-by-step explanation:
49 + 35 + x = 180
84 + x = 180
x = 180 - 84
x = 96 degrees
I need help. Please
.
Which of the following shows a graph of the equation above?
Can you provide more information?
Solve the following equation for aa. Be sure to take into account whether a letter is capitalized or not.
d=
d=
\,\,Ma-N^3a
Ma−N
3
a
Answer:
a = [tex]\frac{d}{M-N^3}[/tex]
Step-by-step explanation:
d = Ma - N³a ← factor out a from each term on the right side
d = a(M - N³) ← isolate a by dividing both sides by M - N³ )
[tex]\frac{d}{M-N^3}[/tex] = a
Which expression is equivalent to the quantity five raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power?
The equivalent expression is 5^(4) * 3^(-10)
What is an equivalent expression?Equivalent expressions are expressions having the same solution but different arrangement
Two expressions are said to be equivalent if they have the same value of solution irrespective of the variable(s) in them.
Now, let's represent the expression;
( 5^-2 × 3^5 )^-2
We simply by multiply the exponential value by the
5^-2(-2) × 3^5(-2)
5^4 × 3^- 10
Hence, the equivalent expression is 5^(4) * 3^(-10)
Learn more about equivalent expressions here:
https://brainly.com/question/24734894
#SPJ1
Emmett made sand art bottles to sell at his school's craft fair. He wanted to use 9 different colors of sand. So, he bought 1 pound of each color. Then, he filled as many 6-ounce bottles as he could. How many sand art bottles did Emmett make?
The number of bottles will be 24 bottles.
How to calculate the value?It should be noted that 1 pound = 16 ounces.
Since he bought 1 pound of each color, the total pounds will be:
= 1 × 9 = 9 pounds.
The number of sand art will be:
= 9 pounds / 6 ounce
= (9 × 16) / 6
= 24 bottles
Learn more about ounce on:
brainly.com/question/14953687
#SPJ1
Please Help:
Here are the statistics for the high temperatures in a city during October:
mean of 65.3 degrees Fahrenheit
median of 63.5 degrees Fahrenheit
standard deviation of 9.3 degrees Fahrenheit
IQR of 7.1 degrees Fahrenheit
Recall that the temperature C, measured in degrees Celsius, is related to the temperature F, measured in degrees Fahrenheit, by C=5/9(F−32).
a. Describe how the value of each statistic changes when 32 is subtracted from the temperature in degrees Fahrenheit.
b. Describe how the value of each statistic further changes when the new values are multiplied by 5/9.
c. Describe how to find the value of each statistic when the temperature is measured in degrees Celsius.
Answer:
a. Describe how the value of each statistic changes when 32 is subtracted from the temperature in degrees Fahrenheit.
a) The mean will change and other quantities remain same.
b) The mean, standard deviation and IQR change.
c) The standard deviation and IQR change.
a. When 32 is subtracted from the temperature in degrees Fahrenheit:
The mean would change by subtracting 32 from the original mean of 65.3.The median would remain the same since subtracting a constant value does not affect the relative order of the data points.The standard deviation would remain the same since it is a measure of dispersion and does not depend on the shift of the data.The IQR would remain the same since it is based on the order statistics (including the median) and is not affected by a constant shift.b. When the new values (obtained after subtracting 32) are multiplied by 5/9:
The mean would change by multiplying the new mean by 5/9.The median would remain the same since scaling by a constant value does not affect the relative order of the data points.The standard deviation would change by multiplying the new standard deviation by 5/9 since it is a measure of dispersion and scales with the data.The IQR would change by multiplying the new IQR by 5/9 since it is based on the order statistics and scales with the data.c. To find the value of each statistic when the temperature is measured in degrees Celsius:
The mean and median would remain the same since the Celsius scale and Fahrenheit scale have a linear relationship, and shifting or scaling the data does not affect their relative values.The standard deviation would change by multiplying the new standard deviation by 5/9 since it scales with the data.The IQR would change by multiplying the new IQR by 5/9 since it scales with the data.Learn more about IQR here:
https://brainly.com/question/31207390
#SPJ4
a match box has length x cm, width x +1 cm and height 3 cm. express its surface area as a function of x
Answer:
2x² + 14x + 6
Step-by-step explanation:
A match box is in the shape of a right rectangular prism so we can use the formula for the surface area of such a solid
A=2(wl+hl+hw)
where l = length, w=width and h = height
Substituting l = x, w = x+1 and height = 3 we get
wl = x(x + 1) = x² + x
hl = 3x
hw = 3(x + 1) = 3x + 3
So A = 2( x² + x + 3x + 3x + 3)
A = 2(x² + 7x + 3)
A = 2x² + 14x + 6
a. show one pair of corresponding points and two pairs of corresponding sides in the original and it’s copy.
b.what scale factor takes the original polygon to its smaller copy?
Answer:
1/4
Step-by-step explanation:
Let x = the scale factor
4x = 1 Divide both sides by 4
x = 1/4
what is the equation of the line that passes through the points (-8,1) and (7,1)
Answer:
y = 1
Step-by-step explanation:
the equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through
the line passes through (- 8, 1 ) and (7, 1 )
both with y- coordinates of 1 , then
y = 1 ← is the equation of the line
Bob's Gift Shop sold 300 cards for Mother's Day. One salesman, Kaj, sold 4% of the
cards sold for Mother's Day. How many cards did Kaj sell?
Divide/scale down to solve for the missing percent.
cards
4
percent
300
100
Answer:12
Step-by-step explanation: 300 times 0.04 (4%) is 12
Need help with this question ASAP please and youu??
Answer: (8, 8)
Step-by-step explanation:
y>x-7, y<=2x-8
1: 5>12-7
5>5 ==> Not true
2: 3>12-7
3>5 ==> Not true
3: -10>-6-7
-10>-13
-10<=2(-6)-8
-10<=-12-8
-10<=-20 ==> Not true
4: 8>8-7
8>1 ==> True
8<=2(8)-8
8<=16-8
8<=8 ==> True ==> (8, 8)
HELP ASAP!!!
Solve for m in the following equation.
4m/3= 8
m= 10
m= 6
m= 2
m= 96
You buy three more than twice as many pounds of apples as bananas. If you bought seven pounds of apples, how many pounds of bananas did you buy?
What is the correct equation and solution for this problem?
3p – 2 = 7; p = 3 pounds
2p – 3 = 7; p = 5 pounds
3p + 2 = 7; p = 3 pounds
2p + 3 = 7; p = 2 pounds
Thank you!!
The value of the unknown variable, m in the equation 4m / 3 = 8 is 6. option B
How to solve for unknown in an equation?4m / 3 = 8
cross product4m = 8 × 3
4m = 24
divide both sides by 4m = 24/4
m = 6
let
pounds of apple = apounds of bananas = bthree more than twice as many pounds of apples as bananas.
a = 2b + 3
If you bought seven pounds of apples, how many pounds of bananas did you buy?
b = 7 pounds
a = 2b + 3
7 = 2b + 3
7 - 3 = 2b
4 = 2b
b = 4/2
b = 2 pounds
So therefore, the correct equation and solution for this problem is 2p + 3 = 7; p = 2 pounds. option D
Read more on equation:
https://brainly.com/question/18800361
#SPJ1
please help math 30 points
Answer:
144.288
Step-by-step explanation:
yes because I just took the tes
which pair of numbers have a greatest common factor of 3? select each correct answer. 3 and 9 3 and 9 18 and 15 18 and 15 15 and 20 15 and 20 6 and 9
The pair of numbers that have the greatest common factor of 3 are:
6 and 9
18 and 15
3 and 9
What is greatest common factor?The biggest number, which is the variable of at least two number is known as the Best Normal Element (GCF). It is the biggest number (factor) that partition them bringing about a Characteristic number. When every one of the elements of the number are found, there are not many variables which are normal in both.
The factors of 6 and 9 are:
6 ⇒ 1, 2, 3 and 6
9 ⇒ 1, 3, 9
The greatest common factor here is therefore 3.
The factors of 18 and 15 are:
18 ⇒ 1, 2, 3, 6, 9 and 18
15 ⇒ 1, 3, 5, and 15
Greatest common factor is also 3
The factors of 3 and 9 are:
3 ⇒ 1 and 3
9 ⇒ 1, 3, 9
Greatest common factor here is also 3.
Learn more about greatest common factor, refer:
https://brainly.com/question/4802873
#SPJ4
Which is an example of the associative property?
–5 + 7 = 7 + (–5)
–(18 + 3) = –18 + (–3)
(–8 + 10) + 4 = –8 + (10 + 4)
–17 + 0 = –17
–5 + 7 = 7 + (–5) is an example of the associative property. Option A
This is further explained below.
What is associative property?Generally, The associative property is a rule in mathematics that states that the product of a multiplication problem does not depend on the method in which the elements that are being multiplied do not vary.
In conclusion, Even if the numbers on each side of the equal sign are written in the opposite direction, adding -5 to 7 still results in the same answer: 7 plus (-5).
Read more about associative property
https://brainly.com/question/5637942
#SPJ1
What two numbers are missing from this factor tree for the prime factorization of 252
Answer:
the prime factorization of 252 is. 252 = 2 × 2 × 3 × 3 × 7 = 22 × 32 × 7.
The 2 missing numbers are not given, so I'm unsure about the 2 missing numbers.
Step-by-step explanation:
hope this helps :)
Answer:
Step-by-step explanation:
Definitions
Prime number: A whole number greater than 1 that cannot be made by multiplying other whole numbers.
Prime Factorization: Prime numbers that multiply together to make the original number.
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, ...
To find which prime numbers multiply together to make 252, begin by dividing 252 by the first prime number, 2:
⇒ 252 ÷ 2 = 126
As 126 is not a prime number, we need to divide again.
⇒ 126 ÷ 2 = 63
As 63 is not a prime number, and 63 is not divisible by 2, try dividing it by the next prime number, 3:
⇒ 63 ÷ 3 = 21
As 63 is not a prime number, divide again.
⇒ 21 ÷ 3 = 7
As 7 is a prime number, we can stop.
Therefore, 252 is the product of:
⇒ 252 = 2 × 2 × 3 × 3 × 7
As 2 and 3 appear twice, we can write these using exponents:
⇒ 252 = 2² × 3² × 7
You find a job that pays $14.25/hr working 25 hours per
week. How much will you make in 4 weeks?
Answer:
$1425
Step-by-step explanation:
To find how much money you would make, we would first have to multiply the number of weeks worked by how many hours you work per week.
4 · 25 = 100
What this tells us is that in 4 weeks, you worked 100 hours in total. Now we can multiply total hours worked by how much you are paid per hour to get our answer.
14.25 · 100 = 1425
A restaurant manger surveyed a random sample of costumers to determine which drink they prefer. Fourteen chose tea and 36 chose soda. Based on the results ,how many of the 275 customers can be expected to prefer soda?
198 of the 275 customers can be expected to prefer soda
A restaurant manger surveyed a random sample of costumers to determine which drink they prefer. Fourteen chose tea and 36 chose soda.
Based on the results , we have to find how many of the 275 customers can be expected to prefer soda?
total customers x = 275
customers chose soda y= 36
customers chose tea z= 14
therefore out of 275 customer who prefer soda = (x * y)/(y+z)
Based on the given conditions, formulate: [tex]: \frac{275 * 36}{14+36} \\\\[/tex]
Calculate the product or quotient:[tex]\frac{9900}{14+36}[/tex]
Calculate the sum or difference:[tex]\frac{9900}{50}[/tex]
Cross out the common factor: [tex]198[/tex]
Hence ,198 of the 275 customers can be expected to prefer soda
learn more about of expected value here
https://brainly.com/question/22792902
#SPJ9
In which number does the digit 6 have that is 10 times as great as the value of the digit 6 in 283,691
Answer:
486,732 hope this helps
Order the values from least to greatest.88, 8 tens, 8*1/100
The order of the values from least to greatest is 8*1/ 100, 8 tens, 88
How to determine the orderTo determine the order of the values from least to greatest is to outline or arrange the value on the basis of the sizes or according to their magnitude
Given the values as;
888 tens8/ 100Note that 8 ten is simply written as
= 8 × 10 = 80
= 8/ 100 = 0. 8
= 88
From the number system, the values can be arranged as;
0. 8, 80 , 88
Thus, the order of the values from least to greatest is 8*1/ 100, 8 tens, 88
Learn more about order here:
https://brainly.com/question/12783355
#SPJ1
please help this is my last attempt
Answer:
see explanation
Step-by-step explanation:
525 divided by 1500 may be expressed in the following ways
525 ÷ 1500
[tex]\frac{525}{1500}[/tex]
1500 | |525
Answer:
See attached image
Step-by-step explanation:
I could not figure out how to do the long division symbol on the keyboard so I highlighted the answers in the attached.
Solve 5kx + 6 = 7 kx for x.
A tv show had 3.6 x 104 viewers in the first week and 4.1 x 104 viewers in the second week. determine the average number of viewers over the two weeks and write the final answer in scientific notation.
The computation shows that the average number of viewers over the two weeks will be 3.85 × 10⁴.
How to compute the value?From the information given, the tv show had 3.6 x 10⁴ viewers in the first week and 4.1 x 10⁴ viewers in the second week.
Therefore, the average number of viewers over the two weeks will be:
= (3.6 × 10⁴ + 4.1 × 10⁴)/2
= 7.7 × 10⁴/2
= 3.85 × 10⁴
Therefore, the average is 3.85 × 10⁴
Learn more about. computation on:
brainly.com/question/4658834
#SPJ1
a researcher records the repair cost for 1313 randomly selected stereos. a sample mean of $85.52$85.52 and standard deviation of $10.81$10.81 are subsequently computed. determine the 90�% confidence interval for the mean repair cost for the stereos. assume the population is approximately normal. step 1 of 2 : find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.
The mean repair cost for the stereos is (79.47, 91.56) with a 90% confidence interval.
What is the critical factor?The critical factor for a 90% confidence interval for the true mean repair cost for stereos is given by;
Critical factor = (x-μ)/(s/√n)
where, x = sample mean repair cost
s = standard deviation of a sample
n = sample of stereos
μ = critical value
We have been given that a researcher records the repair cost for 13 randomly selected stereos. a sample mean of $85.52 and a standard deviation of $10.81 are subsequently computed.
Since we don't know the population standard deviation, we used t statistics to create the 90% confidence interval in this case.
So, the 90% confidence interval for the true mean repair cost, μ is ;
⇒ P(-2.015 < t₅ < 2.015) = 0.90
{As the critical value of t at 5 degrees of freedom are -2.015 & 2.015 with P = 5%}
⇒ P(-2.015 < (x-μ)/(s/√n) < 2.015) = 0.90
⇒ P(-2.015×(s/√n) < (x-μ) < 2.015×(s/√n)) = 0.90
⇒ P(x - 2.015×(s/√n) < μ < x + 2.015×(s/√n)) = 0.90
90% confidence interval for
⇒ μ = (x - 2.015×(s/√n) , x + 2.015×(s/√n))
Here, x = $85.52, s = $10.81, and n = 13
⇒ μ = (85.52 - 2.015×(10.81/√13) , 85.52 + 2.015×(10.81/√13))
⇒ μ = (79.47, 91.56)
Hence, the mean repair cost for the stereos is (79.47, 91.56) with a 90% confidence interval.
Learn more about the critical value here:
https://brainly.com/question/15417413
#SPJ4