If the sample size of population is 24 then the number of degrees of freedom for reading the t value is 23 which is option c.
Given sample size of 24,mean 23.
We have to determine the number of degrees of freedom which will be used to find the critical values of t.
Degree of freedom is the number of values in the final calculation of a statistic that are free to vary means that can change their values in the formula of calculating t.
t=(X-μ)/s/\(\sqrt{n}\)
where X is sample mean ,
μ is hypothsised population mean
s is sample standard deviation
n is sample size.
Degree of freedom=n-1
In this question n is 24 so the degree of freedom =24-1=23.
Hence the number of degrees of freedom for reading the t value is 23.
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prodigy question of perimiter
The number of length of 4 feet they need is 8.
How to find the number of length required for fencing?He wants to fence around there garden that measures 8 feet by 8 feet.
The store sells fencing in length of 4 feet's.
Therefore,
perimeter of the garden = 4l
where
l = side lengthThe perimeter of a shape is the sum of the whole side.
Hence,
perimeter of the garden = 4 × 8
perimeter of the garden = 32 feet
Therefore,
number of length required = 32 / 4
number of length required = 8
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Find the distance d(p1 p2) between the points p1 and p2. P1 = (2.3,1.3) P2 = (-0.7,1.1)
Answer:
d(p1,p2)=√9.04 units.
Explanation:
The distance between two points is calculated using the formula:
\($$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} $$\)Given the two points:
\(\begin{gathered} (x_1,y_1)=P_1(2.3,1.3) \\ \left(x_2,y_2\right)=P_2\left(-0.7,1.1\right) \end{gathered}\)Substitute into the formula given above:
\(\begin{gathered} d=\sqrt{(-0.7-2.3)^2+(1.1-1.3)^2} \\ =\sqrt{(-3)^2+(-0.2)^2} \\ =\sqrt{9.04}\text{ units} \end{gathered}\)The distance between points p and p2 is √9.04 units.
the measure of an angle is 166 degrees. what is the measure of of its supplementary angle?
Answer:
14°
Step-by-step explanation:
Supplementary angles add up to 180° so subtract 166 from 180.
what number is in between 76 and 80
The number that is in between 76 and 80 is 78.
Help me please I don't know it
Answer:
65
Step-by-step explanation:
Method 1(Algebra):
m - 14 = 51
Add 14 to both sides of the equation.
m - 14 + 14 = 51 + 14
Combine like terms.
m = 65
Method 2:
m - 14 = 51
Move negative fourteen(- 14) to the other side of the equation. Because we moved it, it is now positive fourteen( + 14)
m = 51 + 14
Combine like terms.
m = 65
May someone tell me if I’m correct cause I think I’m right but I need to double check with someone thanks
Answer: Proportional
Step-by-step explanation: Any table that starts with (0,0), it means it’s proportional!
A marathon is 26.2 miles long. There is a water station every 114 miles along the race route and at the finish line. How many water stations are needed for this marathon?
Answer: 21 water stations
Step-by-step explanation:
From the question, we are informed that a marathon is 26.2 miles long and that there is a water station every 1 1/4miles along the race route and at the finish line.
To get the number of water stations that are needed for this marathon, we divide 26.2 miles by 1 1/4miles. This will be:
= 26.2miles/1 1/4 miles
= 26.2 miles/1.25 miles
= 20.96
= 21 water stations
help me find the graph for this please
hope this helps you ( ´◡‿ゝ◡`)
The owner of a bike shop would like to analyze the sales data to determine if the
business is growing, declining, or remaining flat. The owner has the following data:
Sales Revenue Last Year =$125,000
Sales Revenue Current Year = $150,000
What is the Sales Growth?
NEED ANSWER AS A PERCENTAGE
Answer: 20%
Step-by-step explanation:
150,000 - 125,000 = 25,000
20 percent of 125,000 = 25k
10-7+12 dived (2^3-6) hope you can answer
Answer:
The answer is 7.5
a particle moves from aa to dd in (figure 1) while experiencing force f⃗ =(3i^ 5j^)nf→=(3i^ 5j^)n. Part A: How much work does the force do if the particle follows path ABD?
Part B: How much work does the force do if the particle follows path ACD?
Part C: How much work does the force do if the particle follows path AD?
Part D: Is this a conservative force (Yes or No)
The work done along path ABD is 8L. the work done along path ACD is 8M. the work done along path AD is 8N. the work done varies depending on the path taken, we can conclude that the given force\(\vec{f} = 3\hat{i} + 5\hat{j}\)
To calculate the work done by a force along a path, we use the formula:
Work = ∫(F⃗ ⋅ dr⃗)
where F⃗ is the force vector, dr⃗ is the displacement vector along the path, and the dot product (⋅) represents the scalar dot product.
Given the force vector\(\vec{f} = 3\hat{i} + 5\hat{j}\) (in newtons), we can proceed to calculate the work done along each path:
Part A: Path ABD
In this path, the displacement vector dr⃗ is along the line segment AB and has a magnitude of |dr⃗| = AB. Let's assume AB has a length of L.
Since the force f⃗ is constant and in the same direction as the displacement, the dot product f⃗ ⋅ dr⃗ simplifies to |f⃗| ⋅ |dr⃗| ⋅ cos(0°) = |f⃗| ⋅ |dr⃗| = |f⃗| ⋅ L.
Therefore, the work done along path ABD is:
Work_ABD =\(|{\vec{f}}| \cdot L = (3\hat{i} + 5\hat{j}) \cdot L = 3L + 5L = 8L\)
Part B: Path ACD
In this path, the displacement vector dr⃗ is along the line segment AC and has a magnitude of |dr⃗| = AC.
Let's assume AC has a length of M.
Similar to Part A, since the force f⃗ is constant and in the same direction as the displacement, the dot product f⃗ ⋅ dr⃗ simplifies to |f⃗| ⋅ |dr⃗| ⋅ cos(0°) = |f⃗| ⋅ |dr⃗| = |f⃗| ⋅ M.
Therefore, the work done along path ACD is:
Work_ACD = \(|{\vec{f}}| \cdot M = (3\hat{i} + 5\hat{j}) \cdot M = 3M + 5M = 8M\)
Part C: Path AD
In this path, the displacement vector dr⃗ is along the line segment AD and has a magnitude of |dr⃗| = AD. Let's assume AD has a length of N.
Similarly, the dot product f⃗ ⋅ dr⃗ simplifies to |f⃗| ⋅ |dr⃗| ⋅ cos(0°) = |f⃗| ⋅ |dr⃗| = |f⃗| ⋅ N.
Therefore, the work done along path AD is:
Work_AD = \(|{\vec{f}}| \cdot N = (3\hat{i} + 5\hat{j}) \cdot N = 3N + 5N = 8N\)
Part D: Is this a conservative force?
A force is considered conservative if the work done by the force is independent of the path taken. In other words, the work done by a conservative force only depends on the initial and final positions of the particle.
In this case, the work done along paths ABD, ACD, and AD all depend on the lengths L, M, and N, respectively. Since the work done varies depending on the path taken, we can conclude that the given force\(\vec{f} = 3\hat{i} + 5\hat{j}\)
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How can you tell if an equation has a solution or not?
You can tell if you solve the equation and get a variable equal to a number.
What is linear equation ?
A linear equation is an algebraic equation of the form y = mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
To find that a solution is all real numbers or no solution,
Combine like terms on both sides of the equation. Isolate the x term by subtracting x from both sides. You arrive at the true statement “3 = 3”. When you end up with a true statement like this, it means that the solution to the equation is “all real numbers”.
You can tell if you solve the equation and get a variable equal to a number.
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What is the slope of the line?
Answer:
y= -3/1x-3
Step-by-step explanation:
its the right answer
Please help me‼️
Question: select all the equations that can be represented by a straight line when graphed on the coordinate plane
Answer:
B, D, EStep-by-step explanation:
Straight line equation is in the form of:
ax + by = cLets verify the options:
A- no, simplified, it is 1 + xy = 9xB- yesC- no, because of y²D- yesE- yesF - no, simplified it is a quadratic equationRSM WORK HELLLPPP
|x-7|=x-7
solve the equation
PLEASE HELP
Answer: x≥7
Step-by-step explanation:
ron and amber bought a pizza. ron ate 3/10 of the pizza. amber ate 1/10 of the pizza. together,which fraction of the pizza did they eat?
Answer:
4/10 or 2/5
Step-by-step explanation:
it's simple, we add the fractions 3/10 and 1/10
since the denominators are the same we only add the top parts and leave the bottom alone.
so 3 + 1 = 4
10 10 10
A company sells soft drinks in cylinder cand with a radius of 1.3 inches and height of 4.8 inches.If the aluminum used to make the can costs$0.001 per square inch, what is the approximate cost for the company to make one can?Round to nearest tenths
data:
radius=1.3 in
height=4.8 in
aluminum
A 3-pound bag of potatoes costs $1.68. What is the unit price?
per pound
Answer:
$0.56 per pound
Step-by-step explanation:
1.68/3
Hopefully, this helped :)
Answer:
$0.56 per pound
Step-by-step explanation:
\( \frac{1.68}{3} = 0.56\)
if f(x)= 4^2+1 and g(x)x^2-5 find (f+g)(x)
Answer:
x^3+11x
Step-by-step explanation:
((4^2+1)+(x^2-5))(x)
(16x+x^3-5x)
x^3+11x
What is the walking rate in steps per minute
The data states that a brisk walk is between 100 and 130 steps per minute, a mοderate walk is between 70 and 100 steps per minute, and a leisurely walk is between 50 and 70 steps per minute.
Dοes "minute" imply "little"?When sοmething is described as minute, it is exceedingly small. It οnly takes a tiny bit. Synοnyms: miniature, small, little, and small οther wοrds fοr minute.
The number οf steps a persοn takes each minute might change depending οn their age, gender, level οf fitness, and οther factοrs. Yet the fοllοwing serves as a basic rule fοr walking rates:
100–130 steps per minute fοr a brisk walk.
70 tο 100 steps per minute during a brisk walk.
50–70 steps per minute during a relaxed strοll
It's impοrtant tο keep in mind that all these rates are οnly suggestiοns, and that peοple may walk at different rates. Alsο, sοme pedοmeters and fitness trackers may calculate steps differently, making it pοssible that the step cοunts are nοt tοtally accurate.
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What is the walking rate in steps per minute in a brisk walk according to Walking cadence?
How much should Josea leave for the tip?
Reminder: The total bill was $38. She wanted to leave
a 15% tip.
Answer: soo if the bill is $38
then 15% times 100 = 0.15
38.00 x 0.15 = $5.7
Step-by-step explanation:
Answer:
$5.7 as a tip
I don’t know how to find the value of x PLEASE HELP!!!
Answer:
the value of x is 8.
Step-by-step explanation:
\(x {}^{2} = 64\)
\(or \: x = \sqrt{64} \)
therefore x=8
is the answer...
Answer:
x=8
Step-by-step explanation:
\(8^{2} =64\)
8·8·8·8·8·8·8·8=64
hope this helps
good luck!!
Separate the number 39 into three parts. The
second part is three times the first part, and
the third part is three times the second part.
Answer:
Step-by-step explanation:
You can also do this without 3 variables if you find it easier:
1st part: x
2nd part: 3x
3rd part: 9x
9x + 3x + x = 39
13x = 39 combine like terms
x = 3 divide by 13.
Plug in value of x to find other two parts
In a short sentences please, Prove that the sum of two rational numbers is rational. THANK YOU!!!
The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.
How does this work?A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.
When we add two rational numbers together, we can use the following formula:
a/b + c/d = (ad + bc) / bd
where a, b, c, and d are integers and b and d are not equal to zero.
This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.
For example, if we want to add 1/2 and 2/3 together, we can use the formula above:
1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6
Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.
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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).
If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.
O DATA ANALYSIS AND PROBABILITY
Range of a data set
Ann is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.
a
X
5
The range of the data set is, 28
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The data set is,
74, 64, 90, 74, 92, 68, 71
Now, We know that;
Range of data set is calculating by subtracting the lowest value from highest value.
Hence, The range is,
⇒ Highest value - Lowest value
⇒ 92 - 64
⇒ 28
Thus, The value of range = 28
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Dr.Osborne has scheduled Anita Blanchette for a spirometry test and wants you to telephone her the day before the test to prepare her so that optimal results are obtained.
1.) What information do you give Anita before her spirometry so that the best test results can be obtained?
2.) How would you explain the rationale for the performance of this procedure?
To ensure the best test results, Anita should be provided with the following information before her spirometry:
1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.
2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.
3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.
4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.
The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.
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if DE =4X-1,EF=9 AND DE =9X-22 FIND THE VALUE OF X
Answer: 21/5
Step-by-step explanation:
I'm not sure if you wrote it right or not but
if DE = 4x-1 = 9x - 22
5x=21, x = 21/5
excel grear tire company has produced a new tire with an estimated mean lifetime mileage of 33,500 miles. management also believes that the standard deviation is 3,500 miles and that tire mileage is normally distributed. to promote the new tire, grear has offered to refund some money if the tire fails to reach 30,000 miles before the tire needs to be replaced. specifically, for tires with a lifetime below 30,000 miles, grear will refund a customer $1 per 100 miles short of 30,000. (a) for each tire sold, what is the average cost of the promotion (in $)? (use at least 1,000 trials. round your answer to two decimal places.) $ (b) what is the probability that grear will refund more than $25 for a tire? (use at least 1,000 trials. round your answer to three decimal places.)
a) The average cost of the promotion is $ 0.01 per liter
b) the probability that Greer will refund more than $25 for a liter is 0.0107.
a.
Mean lifetime mileage : $33,500
Standard deviation of mileage: $3500
Observed miles: 30,000 miles
100 miles failed $1.00
Hence :
= (33,500 – 30,000) / 3500= 1
Cost of production
100 miles = $1.00
= 1* 1 / 100
= $ 0.01 per tire
b.
P (z < 25000 - 36500/5000)
P (z < -11500/5000)
z < -2.3
Hence:
1 - 0.9893
= 0.0107
Therefore, the Probability that gear will refund more than $50.00 per tire is: 0.0107
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!!!!!!!please help!!!!!!!
if a fair six sided die is rolled twice, what is the probability it will land on 1 and then 6?
a. 1.4%
b. 2.8%
c. 0.5%
d. 8.3%
Answer: 2.8%
Step-by-step explanation: 1/6 * 1.6 = 1/36 1/36 = 0.0277 = 2.8%
Write an equation in slope intercept form for the line that is parallel to y= 2/5x-2 and passes through the point (-20,-7). Show your work (PLEASE ANSWER ASAP)
Answer:
y = 2/5x + 1
Step-by-step explanation:
If two lines are parallel, their slopes are equal
so the slope would be 2/5
if y = -7, x = -20, m = 2/5
slope-intercept form:
y = mx + b
-7 = 2/5(-20) + b
-7 = -8 + b
b = 1
then y = 2/5x + 1