Option C, A associated samples t-test is the best method for determining the importance of the mean difference.
The weight of an individual before and after a two-day fast is the two variables in this situation.
To use the t-test on paired data, the given observations must be related. Using the variations between the two sets of data, we calculate the test statistic. The degree of freedom for this test is n 1, where n is the overall number of observations.
If the standard deviation is provided and the sample size is large, the statistical hypothesis known as the Z-test is employed to assess if the two samples' computed means are different. The T-test, in contrast, evaluates how averages from distinct data sets differ when the variance or standard deviation is unknown.
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The height of two boys are in the ratio of 4:5 the shorter boy is 80 cm what is the height of the taller boy?
Answer:
100cm
Step-by-step explanation:
The relationship between the ratio and the heights is 20. i.e 4 : 5 = 80 : 100
Hope this helps, please tag brainliest.
The height of the taller boy is 100cm.
What is ratio?Ratio, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.
Let the height of the taller boy be x cm and smaller boy be y cm.
According to the given question.
The ratio of height of the two boys is 4:5.
Since, it is obvious that 4:5 is the ratio of the height of smaller boy to the taller boy. Because k will be the ratio of proportionality then 4k will given the smaller value and 5k will give the larger value therefore, 4:5 represents the ratio of height of smaller boy to the taller boy.
\(\implies \frac{y}{x} =\frac{4}{5}\)
Also, the height of the shorter boy is 80cm.
Therefore,
\(\frac{80}{x} = \frac{4}{5}\)
\(\implies 80\times 5 = 4\times x\)
\(\implies 400 = 4\times x\)
\(\implies x = \frac{400}{4}\)
\(\implies x = 100cm\)
Hence, the height of the taller boy is 100cm.
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Find integer matrices A,B not multiples of each other such that Nul(A)=Nul(B) and Col(A)=Col(B)
Nul(A) = Nul(B) , Col(A) = Col(B) in integer matrices.
Describe matrix using an example?
A matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The entries of the matrix are the numbers, which are referred to as its elements.
In addition to many other areas of mathematics, matrices have extensive applications in the fields of engineering, physics, economics, and statistics.
The null space of any matrix A consists of all the vectors
X such that Ax = 0
And the column space of a matrix A is the span of its column vectors.
Let A = \(\left[\begin{array}{ccc}1&0&0 \\0&1&0\\0&0&1\end{array}\right]\)
Therefore, Nul(A) = {(0,0,0,w ) w∈ Z }
Col(A) = span{ (1,0,0), (0,1,0) , (0,0,1) }
By using definition of Null space of matrix and column space of matrix.
Let B = \(\left[\begin{array}{ccc}1&1&0\\0&1&0\\0&0&1\end{array}\right]\)
Nul(A) = {(0,0,0,w ) w∈ Z }
Col(A) = span{ (1,0,0), (0,1,0) , (0,0,1) }
Hence Nul(A) = Nul(B) , Col(A) = Col(B)
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Zoe downloaded a trial game to her computer. She has at most 60 free minutes to
play the game. It takes 5 minutes to set up her character, and the instructions say
each level takes 8 minutes.
How many levels L is she estimated to complete on the free trial?
Show work or explain. Write your answer as an inequality. (here are inequality symbols you can
copy and paste < > ≤ ≥)
Answer:
6 levels
Step-by-step explanation:
60 - 5 (to set up the character)
55 total minutes
8(l) = 55
L = 55/8
L = 6.875
.˙. they can finish 6 levels
In the figure below OZ perpendicular OX and OY perpendicular OW. If a= 50, what is the value of C? A.50 B.45 C.40 D.35 E.30
Answer:
A. 50
Step-by-step explanation:
a + b = 90
b = 90-50 = 40
b + c = 90
c = 90-40 = 50
1 point
If an original amount was 12 and the new amount is 18, would you describe
this as an increase or decrease? *
Answer: Increase
Step-by-step explanation: 18 is greater than 12
Guided Practice
Evaluate the formula V = \(\frac{Bh}{3}\) for B = 4 cm2 and h = 6 cm.
A.
15.3 cm3
B.
3.3 cm3
C.
12 cm3
D.
8 cm3
Answer:
D.
8 cm3
Step-by-step explanation:
V=BH/3
V=(4)(6)/3
V=(24)/3
V=8
Answer:
8cm is the answer
for gradpoint it's 8cm^3
Step-by-step explanation:
V=4•63=8 V equals the quantity 4 multiplied by 6 end of quantity divided by 3 equals 8.
The Safari-Simpson Hurricane Wind Scale estimates property damage based on a hurricane’s wind speed. how much does it take for this storm to become a category 1 hurricane? A category 3 hurricane?
The wind speed for category 1 is from 74 to 95 mph.
The wind speed for category 3 is from 111 to 129 mph.
What is windspeed?Wind speed is the speed at which air moves horizontally on the Earth's surface it is measured in miles per hour (mph), kilometers per hour (km/h), or meters per second (m/s).
We have,
The Saffir-Simpson Hurricane Wind Scale is a 5-point scale that categorizes hurricanes based on their wind speeds.
i.e
Category 1 - Winds 74-95 mph (64-82 kt)
Category 2 - Winds 96-110 mph (83-95 kt)
Category 3- Winds 111-129 mph (96-112 kt)
From the categories above.
The wind speed is needed for a storm to become a Category 1 hurricane.
= 74 mph to 95 kph
The wind speed is needed for a storm to become a Category 3 hurricane.
= 96 mph to129 mph
Thus,
For category 1, the wind speed is from 74 to 95 mph.
For category 3, the wind speed is from 111 to 129 mph.
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if two sides of a triangle measurement 8cm 12cm what is the range of the third side
Please help me answer this ASAP
Answer: 7.2
Step-by-step explanation:
\(\tan 29^{\circ}=\frac{4}{CD}\\CD \tan 29^{\circ}=4\\CD=\frac{4}{\tan 29^{\circ}} \approx {7.2}\)
The diameter of a circle is 34 meters. What is the circle's area?
Answer:
area of a circle = πr^2
So to find the area we need to know the radius. This is easy, as the radius is half of the diameter. So let's half it:
34/2 = 17m
And then substitue 17, for r:
= π(17)^2
= 289π
= 907.9202769m^2
You can round this however you like, but the best options are often either 3 significant figures, either 1 or 2 decimal places.
solve for Y (2x+2y=4)
Answer:
\(y=-x+2\)
Step-by-step explanation:
\(2x+2y=4\)
\(2y=-2x+4\) (Subtract 2x from both sides of the equation)
\(y=\frac{-2x+4}{2}\) (Divide both sides of the equation by 2 to get rid of y's coefficient)
\(y=-x+2\) (Simplify RHS)
Hope this helps!
1/4x-1/4=1/2 this is algebra
Answer:
x=3
Step-by-step explanation:
1/4x=1/2+1/4
1/4x=3/4
4*1/4x=3/4*4
x=3
For this item, select the answers from the drop-down menus A student has $43 in total to buy books that cost \$8.50 each and pens that cost $2.25 each. The student buys number books and 4 more pens the books Complete the inequality to best represent the scenario.
The inequality of the scenario is 8.50n + 9 ≤ 43
How to determine the inequality of the scenarioFrom the question, we have the following parameters that can be used in our computation:
Amount = $43
The cost of n books and 4 pens can be expressed as:
8.50n + 2.25(4)
We can simplify this expression:
8.50n + 9
We know the student has a total of $43 to spend, so we can set up an inequality:
8.50n + 9 ≤ 43
Subtracting 9 from both sides, we get:
8.50n ≤ 34
Dividing both sides by 8.50, we get:
n ≤ 4
Hence, the inequality that best represents the scenario is: n ≤ 4 or 8.50n + 9 ≤ 43
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Complete question
For this item, select the answers from the drop-down menus A student has $43 in total to buy books that cost \$8.50 each and pens that cost $2.25 each. The student buys n number of books and 4 pens
Complete the inequality to best represent the scenario.
The clock below shows the time ( 9:00 ) that Candace leaves for a bicycle ride. She rides for 1/2 hour.
Through how many degrees does the minute hand turn while Candace is on her ride?
what's 3 more then x is 5
FOR SAT HELPP!!!
Answer:
the answer should be x=2
Step-by-step explanation:
EDITTT!!!
x+3=5
x+3-3=5-3
x=5-3
x=2
what does it mean to be 90% confident in this problem? use the definition of confidence level. there is a 90% chance that the confidence interval contains the population mean 90% of all simple random samples of size 8 from this population will result in confidence intervals that contain the population mean the confidence interval contains 90% of all samples
Being 90% confident in a problem means that there is a 90% chance that the confidence interval calculated from a sample contains the true population mean.
In other words, if we take 100 different samples of the same size from the population and calculate a confidence interval for each sample, then we can expect that 90 of those intervals will contain the true population mean.
This is the definition of a confidence level. Therefore, we can say that there is a 90% chance that the confidence interval we have calculated includes the true population mean.
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Please help I need it!!!
AND I WILL MARK AS BRAINLY :))
Look at this shape:
Which image shows a reflection and why?
A. B. С
Answer:
A
Step-by-step explanation:
The reflection line remained and you can see that the direction changed of the shape and the vertex pointing down on the right is pointing up on the left
A swimming pool shaped like a rectangular prism measures 12 feet deep, 26 feet long, and 14 feet wide. determine the volume, v = lwh, of the pool in cubic meters. round the answer to the nearest cubic meter. (1 foot = 0.305 meter) 4,368 cubic meters 1,332 cubic meters 406 cubic meters 124 cubic meters
A swimming pool shaped like a rectangular prism has a volume of 124 cubic meters.
Rectangular prism is a three-dimensional shape that has 6 rectangle faces, 12 edges and 8 vertices.
Volume is defined as the amount of space that a three-dimensional shape occupies.
The volume of a rectangular prism can be calculated using the formula below.
V = l x w x h
where V = volume
l = length
w = width
h = height or depth
Plug in the values to the formula, multiply by the conversion factor, and solve for the volume.
V = l x w x h
V = (26 feet)(14 feet)(12 feet)(0.305 meter/foot)³
V = 124 cubic meters
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Hello can i get a little help giveing 20 points to who ever help and bralyles so yeh help
Answer:
a) n less than or equal to 21
b) n greater than or equal to 5
c) n > 3/5
Step-by-step explanation:
i hope this helps!!
Answer:
A.) n ≤ 21
B.) n ≥ 5
C.) n > 3/5
Step-by-step explanation:
For the first question it says that the number is no more than 21, so it could be equal to or less than 21
For the second question, it says that the number is at least 5, so it could be equal to or greater than 5
Finally, for the last question it says that the number is more than 3/5, so greater than would be the correct inequality symbol to use
Based on the description of the scenario, which of the variables is the dependent variable?
Answer:
We need the scenario.
Step-by-step explanation:
Generally the independent variable is the thing you are changing and the dependent variable is being changed based on the independent variable.
Ex:
y= x+1
x is the independent variable because you can put in whatever value you want in and y is the dependent variable because its value depends on what you choose for x if that makes sense. I would need you scenario to be able to tell you exactly what it is.
Answer:
For the first one test score
For the second one it's y-axis
Step-by-step explanation:
I just did the assignment
if F(x)=x-5 and G(x)=x2what is G(F(x))?
A. x^2 - 5
B.x^2(x-5)
C. (x-5)^2
D. x^2 + x - 5
Answer:
C. g(f(x)) = \((x - 5)^{2}\)
Step-by-step explanation:
f(x) = x - 5
g(x) = \(x^{2}\)
g(f(x)) = \((x - 5)^{2}\)
a box contains six red light bulbs, nine blue light bulbs, and five green light bulbs. what is the probability of randomly selecting a red light bulb? (round to 2 decimal places) what is the probability of randomly selecting a blue light bulb? (round to 2 decimal places) what is the probability of randomly selecting a red light bulb or a blue light bulb? (round to 2 decimal places) what is the probability of randomly selecting a green light bulb? (round to 2 decimal places) what is the probability of randomly selecting a blue or a green light bulb? (round to 2 decimal places)
Using it's definition, the probabilities are given as follows:
Red: 0.3 = 30%.Blue: 0.45 = 45%.Red or Blue: 0.75 = 75%.Green: 0.25 = 25%.Blue or Green: 0.6 = 60%.What is a probability?The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.
The total number of bulbs in this problem is given as follows:
6 + 9 + 5 = 20.
Six of them are red, hence the probability of a red bulb is:
p = 6/20 = 0.3 = 30%.
Nine of them are blue, hence the probability of a blue bulb is:
p = 9/20 = 0.45 = 45%.
Five of them are green, hence the probability of a green bulb is:
p = 5/20 = 0.25 = 25%.
The probability of a red or blue bulb is:
p = 0.3 + 0.45 = 0.75.
The probability of a blue or green bulb is:
p = 0.45 + 0.25 = 0.6.
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A data set will always have exactly one mode.
O True O False
False. A data set may have one mode, but it is also possible for a data set to have no mode or multiple modes.
What is the mode of data?A mode of data is defined as an observation with the highest frequency among the values that appear most frequently in the given data.
If no value is repeated, the dataset has no mode. If two or more values appear with the same maximum frequency, then the dataset has multiple modes.
For example, consider the following dataset:
1, 2, 3, 3, 4, 4, 5
In this dataset, both 3 and 4 appear twice, which means that the dataset has multiple modes.
So, in general, it is not always true that a data set will have exactly one mode. It depends on the values in the dataset and their frequencies.
Therefore, the correct answer would be option (B) False.
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If the first two angles of a triangle measure 37 and 104', what is the measurement
of the third?
Answer:
Hey there!
Angles in a triangle add to 180 degrees, so we have 37+104+x=180.
Simplifying, we get 141+x=180
Subtracting 141, we get x=39.
Hope this helps :)
awnser
what is 1+1/0=x
Answer:
0
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
1 + 1/0 = x
-1
1/0 = x
x0
1 = x
Backwards PEMDAS where each thing you do backwards cancles itself out.
The Lakers have won 27 games and lost 17 games. At this rate, how many games should they win, in 82 game season?
what is the probability that you and your two friends will be chosen, but your name will be drawn first
The probability of the student's name being drawn first is 1/3.
The probability that you and your two friends will be chosen, but your name will be drawn first is 1/3.The likelihood or chance of a specific event happening is referred to as probability. The probability of an event is represented by a number between 0 and 1, with 0 indicating that the event will never occur, and 1 indicating that the event will always occur.
Probability formula the probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability (P) = number of favorable outcomes/total number of possible outcomes.Probability of the scenario The total number of people who can be picked is three, with one of them being the student.
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*PLEASE ANSWER TY* What is the volume of this prism?
Answer: B. 23.9 cm³
Step-by-step explanation:
V = AH
A (area of the triangle base): 6×3÷2=9cm²
H (height of the prism): 2.65 cm
------------------------
V = AH
V =(9) (2.65)
V = (23.85)
V= 23.85cm²
≈23.9
PLEASE I NEED THIS QUICK!!!!!
Susan wants to make pumpkin bread and zucchini bread for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her recipe for one loaf of pumpkin bread uses 2 eggs and 3 cups of flour. Her recipe for one loaf of zucchini bread uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and zucchini bread loaves for $4 each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of zucchini bread Susan bakes.
What is the objective function for the problem?
P = 15x + 16y
P = 5x + 7y
P = 5x + 4y
P = 4x + 5y
Find the equation of the line that passes through (3,2) and is perpendicular to y=1/4*x+8
Answer:
Step-by-step explanation: