The F-ratio is a measure used in statistical tests, specifically in ANOVA (Analysis of Variance) to test for differences between means of multiple groups.
a) On average, what value is expected for the F-ratio if the null hypothesis is true?
The answer is a. 1. If the null hypothesis is true, it means that there is no significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value close to 1, as the variance between the groups is not significantly different from the variance within the groups.
b) On average, what value is expected for the F-ratio if the null hypothesis is false?
The answer is d. Much greater than 1.00. If the null hypothesis is false, it means that there is a significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value much greater than 1, as the variance between the groups is significantly larger than the variance within the groups.
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helppp me pleaseee i really need it
23310
Step-by-step explanation:
I actually calculated it aka 259000×9%
Please solve for the x. Thank you
The value of x will be;
⇒ x = 35
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
In Rectangle RSTW;
⇒ RZ = 3x + 6
⇒ SW = 7x - 23
Since, By the figure we conclude that;
⇒ 2 RZ = SW
Substitute the given values, we get;
⇒ 2 RZ = SW
⇒ 2 (3x + 6) = 7x - 23
⇒ 6x + 12 = 7x - 23
⇒ 12 + 23 = 7x - 6x
⇒ 35 = x
⇒ x= 35
Thus, The value of x = 35
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A study by the department of education of a certain state was trying to determine the
mean SAT scores of the graduating high school seniors. The study found a confidence
interval for the mean score to be between 440 and 472. What is the margin of error
on the survey? Do not write on the margin of error.
Explanation:
The confidence interval spans from 440 to 472. This is a width of 472-440 = 32 units. It divides in half to get 32/2 = 16. We can think of this as the "radius" of the confidence interval, and it represents the margin of error. It's the distance from the center to either endpoint of the interval.
Side note: use the midpoint formula to determine the center.
Carlos bought 515 Euros for his holiday to Germany. He spent £ 412 to obtain these Euros. How many Euros would Carlos have obtained if he spent £500 ?
Carlos needs a total of 400 Euros for buying 500 Euros.
The total amount available with Carlos for his holiday to Germany = 515 Euros
Amount spent to obtain these 515 Euros = £ 412
As it is clear that for buying 515 Euros he spent 412 Euros.
So, we will first find the Euros spent on buying 1 Euro.
For that, we will use Unitary Method:
So, the total Euros spent for buying 1 Euro will be = (412/515) = 0.8
So, for finding the total Euros spent for obtaining 500 Euros we will simply multiply the total Euros needed by the Euro spent for buying 1 Euro.
Thar will be equal to (0.8 * 500) = 400 Euros.
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What does ∠ABC mean?
The measure of angle ABC means, vertex B lies in between A and C, whose value is to be obtained.
Explain the term angles?Whenever two straight lines as well as rays intersect at a single endpoint, an angle is created. The vertex of the an angle is the location where two points come together.
Measure or "the measure of" are indicated by the "m." Consequently, m1 and m2 stand for "the measure for angle one" and "this same measure of angle two," respectively.The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle.A closed shape with both inner and exterior angles, a triangle is created by three line segments.When the values of the remaining two angles are known, then angle sum property is utilised to determine the measure of an uncertain interior angle.Thus, the measure of angle ABC means, vertex B lies in between A and C, whose value is to be obtained.
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A teacher wants to check the typing proficiency of five students. She gives all of them the same passage to type. Which student is likely to be accurate in the typing test
Solving the question asked, we can say that it is more likely that the student uses a random finger for typing.
What is probability?Probability theory is a branch of mathematics that measures the probability that an event or statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating that the event is unlikely and 1 indicating that it is certain. Probability is a numerical representation of the likelihood or probability of a particular event occurring. Another way to express probability is a percentage from 0% to 100%, or 0 to 1. Percentage of events in the complete set that are equally likely to lead to a particular event compared to the total number of outcomes.
here,
Probabilistically, we can say that the student is using random fingers for typing. Students are more observant and therefore more likely to be accurate on typing tests.
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Complete question: A teacher wants to check the typing proficiency of five students. She gives the same passage to type to all of them. Which student is likely to be accurate at the typing test?
A) students who use one hand to type
B) the student who uses random fingers to type
C) student who types by looking at the keyboard
D) student who corrects errors by looking at the keyboard
E) student who uses macros for long words
can someone please tell which congruency do you use and how?
To prove that ΔABC is isosceles.
Properties of an isosceles triangle.An isosceles triangle is a type of triangle in which the length of its two sides, and measure of its two internal angles are equal. When a bisector of an angle is drawn to one of the internal angles of the triangle, two congruent triangles of corresponding properties are produced.
To prove that ΔABC is isosceles, we have:
<CAD ≅ <BAD (definition of an angle bisector)
CD ≅ BD (definition of a midpoint)
AC ≅ AB (congruent sides of an isosceles)
<ACD ≅ <ABD (congruent internal angles of an isosceles)
<ADC ≅ <ADB (definition of right angle)
Therefore it can be concluded that;
ΔABC is an isosceles triangle (Angle-Side-Side theorem)
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Elijah has some candy bars he wants to give away. He will give each person 8 of a candy bar. If he has 3 2- 4 candy bars to give away, how many people will get candy? Show your thinking.
Answer:
He got 32 candy, he give each person , 3,50. or give only tree each person. and he live 8 candy.
A drawer contains 9 red socks and 11 blue socks. It is dark and you are trying to grab a matching pair. How many socks do you need to take out to be sure of a matching pair
If we pull 3 socks then there is a 100% possibility that 2 socks will be of same colour.
What is Probability ?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportional ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
The likelihood that a specific occurrence will occur. (2): the proportion of the total number of available outcomes to the number of outcomes in an exhaustive set of equally probable options that result in a certain occurrence.
There are 9 red socks and 11 blue socks
So if we find a red/blue sock in the first turn,
The second can be both blue or red so we can't be sure it will be matching or not.
At third turn any one colour of sock will match with any of the two already pulled before if they are different.
So, if we pull 3 socks then there is a 100% possibility that 2 socks will be of same colour.
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Solve: 8w + 5= 4 (2 w+1)=
Answer: No Solutions
Step-by-step explanation:
8w + 5= 4 (2 w+1)=
8w+5=(4)(2w)+(4)(1)
8w+5=8w+4
-8w -8w
5=4
-5 -5
0=-1
Which means there are No Solutions.
Answer:
8w+5=4(2w+1)
8w+5=8w+4
collect like terms
8w-8w = 4-5
0=-1
there is no solution
given that y=15-2x,copy and complete the table below giving the values of y for x=-4,0,4,8,12
How do you simplify F G?
F G cannot be simplified because it is not an equation, it is a phrase.
1. First, determine what F G is. In this case, F G is a phrase and not and equation.
2. Since F G is a phrase, it cannot be simplified.
Determining what F G is the first step to simplifying it. F G is a phrase and not an equation, so it cannot be simplified. Simplifying an equation or expression requires breaking it down into its individual parts and then combining like terms or rearranging the equation to make it simpler. However, F G is not an equation and therefore cannot be simplified.
F G cannot be simplified because it is not an equation, it is a phrase.
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How can these models be used to find the sum 2. 3 + 1. 94?
Enter your answers in the boxes.
The models show a total of 3 wholes,
tenths, and
hundredths. After regrouping 10 tenths into 1 whole, there are
wholes,
tenths, and
hundredths. Therefore, the sum of the numbers is
The sum of 2.3 and 1.94, that is 2.3 + 1.94 is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.
Therefore the answer is 4.24.
The first number, 2.3, can be broken down into 2 wholes and 3 tenths.
The second number, 1.94, can be broken down into 1 whole, 9 tenths and 4 hundredths.
To add the two numbers together, we first add the wholes: 2 + 1 = 3.
Next, we add the tenths: 3 + 9 = 12
Since we cannot have more than 9 tenths in a whole, we must regroup 12 tenths as 1 whole and 2 tenths.
We add the regrouped tenths to the number of wholes: 3 + 1 = 4
After regrouping, we have 4 whole and 2 tenths.
Now we add the hundredths: 0 + 4 = 4
Thus the sum is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.
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Is 3 3 an additive inverse?
3 and -3 are additive inverses because 3 + (-3) = 0.
Therefore, -3 is the additive inverse of 3.
Additive Inverse:
The additive reciprocal/ Inverse of a number is its inverse. When a number is added to the additive reciprocal, both numbers sum to zero. A simple rule is to change positive numbers to negative numbers and vice versa. We know that 3+ (-3) =0. So -3 is the additive reciprocal of 3, and 3 is the additive reciprocal of -3.
If the sum of two real numbers is 0, each real number is said to be the additive reciprocal of the other real number. Therefore, R + (-R) = 0. where R is a real number. R and -R are the additive reciprocals of each other. Example: 3/4 + (-3/4) = 0. where 3/4 is the additive reciprocal of -3/4 and vice versa. This is an example of the additive reciprocal of a fraction.
We have room temperature water in a bucket. Adding 1 liter of hot water raises the temperature of the entire bucket by a certain amount. Then add another liter of cold water. Opposite temperature water in the bucket will cancel out, resulting in a bucket of room temperature water. The same rules apply when taking the additive reciprocal of a number. The additive inverse property applies to both real and complex numbers.
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What is the inverse of 12?
The inverse of 12 as calculated by the given data is found to be 1/12.
The inverse can be found by finding its reciprocal the number ,
inverse of 1 = 1 / 12
There are two types of inverse , additive inverse and multiplicative inverse .
The additive inverse can be found by finding the negative of the number. The multiplicative inverse, often known as the reciprocal, is another inverse of a number.
The multiplicative inverse, often known as the reciprocal, is another inverse of a number. The product of a reciprocal multiplied by the original number is always 1.
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In ΔDEF, f = 5 cm, m∠E=79° and m∠F=75°. Find the length of d, to the nearest 10th of a centimeter.
Using sine and cosine rule, the length of d in the triangle is equal to 4.5cm
What is Sine RuleThe sine rule is a mathematical formula used to calculate the lengths of the sides and angles of any triangle when given two angles and one side or two sides and one angle. It is also known as the law of sines.
To find the length of d, we have to find the length of E.
Using sine rule;
f / sin F = e / sin E
5 / sin 75 = e / sin 79
e = 5sin79 / sin 75
e = 5.7cm
To find the length of d, we have to find the angle D by using the sum of angle theorem.
m∠ E + m∠ F + m∠ D = 180°
79 + 75 + m∠ D = 180
m∠ D = 180 - 154
m∠ D = 26°
Using cosine rule
d² = e² + f² - 2efCosD
d² = 5.7² + 5² - 2(5.7)(5)cos26
d² = 20.615598
d = √20.615598
d = 4.5cm
The length of side d is 4.5cm
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A et of 3 card, pelling the word ADD, are placed face down on the table. Determine P(D, D) if two card are randomly elected with replacement. One third
two third
two ixth
four ninth
The probability of the two cards being D and D, P(D, D), is 4/9. The correct option is: 4/9.
What is probability?A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.
Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.
Calculating probability of selecting a card:
From the question, we are to determine the probability of selecting two cards with D and D
From the formula for probability, we have that
P(D) = Number of favorable outcomes to D / Total number of possible outcomes
From the given information,
Number of favorable outcomes to D = 2
Number of possible outcomes = 3
Thus,
P(D) = 2/3
Then,
The probability of selecting two cards that have D and D with replacement is
P(D, D) = P(D) × P(D)
P(D, D) = 2/3 × 2/3
P(D, D) = 4/9
Hence, the probability is 4/9.
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To serve 1 person at a restaurant it takes 10 minutes. To serve 5 people at a restaurant it takes 18 minutes. How many minutes will it take to serve 8 people
Help with a bit of math??
Answer:
b.x=30
c.x=21
Step-by-step explanation:
Work out the value of (6.31 x 10^5)+(2.6 x 10^4)
Give your answer in standard form
The answer in standard form is given by 65.7 ×10⁴
What is the Standard Form of a Number?A standard form of a number in Maths is basically mentioned for the representation of large numbers or small numbers. We use exponents to represent such numbers in standard form.
Given here: (6.31 x 10⁵)+(2.6 x 10⁴)
Simplifying the equation further we get
(6.31 x 10⁵)+(2.6 x 10⁴)= 63.1×10⁴+2.6×10⁴
=65.7×10⁴
Hence, The answer in standard form is given by 65.7 ×10⁴
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Which techniques can be used to evaluate the expression 12. 75÷1. 5? Select all that apply.
The division technique can be used to evaluate the given expression
12.75÷1. 5
The division formula is used for splitting a number into equal parts. Symbols that we use to indicate division are (÷) and (/).
“p divided by q” can be written as: (p÷q) or (p/q).
The method of verification can be expressed as:
Dividend = (Divisor × Quotient) + Remainder.
The given equation is:12.75÷1.5
We'll first write the above decimal numbers in fractional form.
12.75÷1.5
1275/100÷15/10
2. Now we'll divide it further.
⇒1275/100÷15/10
⇒1275/100×15/10
⇒1275/10×15
⇒225/10×3
⇒88/10
3. And finally, we'll write our quotient in decimal form.
⇒88/10
⇒8.8
ㅤ
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Find the midpoints of the line segment
Fine the distance between each pair of the points
Answer: #18 is (1/2,0)
#19 (0,-1)
#20 5
#21 8√2 or 11.313708498985
Step-by-step explanation:
A correlation coefficient of is the amount of the variance in the dependent variable unexplained by the levels of the independent variable alleged to produce the effect under study. A correlation coefficient of 0.3 leaves what percent of the variance in the dependent variable unexplained by the independent variable
The percent of the variance in the dependent variable unexplained by the independent variable is 81%
What does correlation coefficient mean?A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively correlated, the value either rises or falls together.
9 percent of the variance is explained by the independent variable if the correlation coefficient is 0.3.
The correlation coefficient is therefore represented as follows:
[tex]r = 0.3[/tex]
The explained variance is found using the following formula:
[tex]R^{2} = r^{2} \\R^{2} = (0.3)^{2} \\R^{2} = (0.3)*(0.3)\\R^{2} = 0.9[/tex]
Thus, 81% of the variance remains unexplained by variations in the independent variable.
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Help me
Please help me with both issues
Using multiplication as a mathematical operator, Kareem will 864 more cards and Nicole will get 24 more cards
What is MultiplicationMultiplication is an arithmetic operation in which a number (known as a multiplicand) is multiplied by another number (known as a multiplier) to produce a product.
In this problem, we will need to use of some mathematical operators to solve the problem
1.
He currently has 216 cards, but he needs 15 sets of cards.
1 set of card = 72 cards
Let's calculate the number of sets he currently has.
1 set of card = 72 cards
x set = 216 cards
cross multiply both sides and solve for x.
x * 72 = 216 * 1
x = 216 / 72
x = 3 sets
He currently has 3 sets of cards.
Since he wants 15 sets of cards, we will need 12 more set of cards.
The number of cards can be calculated by multiplying 12 by 72
Number of cards = 12 * 72 = 864
He needs 864 more cards.
2.
1 set of card = $27
1 set = 72 cards
But she's bringing $9 to join, we can calculate the ratio of cards she will get.
1 / 27 = x / 9
x = 9 / 27
x = 1/3
She will get 1/3 of the cards bought which will be
72 * 1/3 = 24 cards
She will get 24 cards
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A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation to complete the function table.
The volume of water in the fish tank for the given time value is 0, 5, 7, 9, 11, and 13 liters.
The equation V = 3 + 2t expresses a time function, which represents the volume of fish tank as a function of time. It means that after t time, volume V is given by the equation. In the given table. t = 0,1,2,3,4,5. Hence, the volume can be determined by substituting the value of t in the equation.
When t = 0
V = 3 + 2(0) = 3 liter
When t = 1
V = 3 + 2(1) = 5 liter
When t = 2
V = 3 + 2(2) = 7 liter
When t = 3
V = 3 + 2(3) = 9 liter
When t = 4
V = 3 + 2(4) = 11 liter
When t = 5
V = 3 + 2(5) = 13 liter
Note: The question is incomplete. The complete question probably is: A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation V = 3 + 2t to complete the function table.
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Frankie enlarged the size of a rectangle to a height of 20 cm. What is the new width if it was originally 2 cm wide and 4 cm tall
Answer: 10
Step-by-step explanation:
4 to 20 which is times by 5 so 2 times by 5 is 10
y=-5 8x+5y=-17 substitution
[tex]8x+5y=-17[/tex] when y is -5
Substitute for y with given value:
[tex]8x+5(-5)=-17[/tex]
[tex]8x-25=-17[/tex]
Add 25 to both sides:
[tex]8x-25+25=-17+25[/tex]
[tex]8x=8[/tex]
Divide both sides by 8:
[tex]\dfrac{8x}{8} =\dfrac{8}{8}[/tex]
[tex]\fbox{x = 1}[/tex]
Given (x – 7)2 = 36, select the values of x.
P is the centroid of ΔXYZ. If XU = 48, what is PU?
The value of the PU in the given triangle is 19.
What is centroid?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.
Given,
'p' is the centroid of triangle XYZ and XU is 57.
Since p is the centroid the 'U', 'V', and 'W' are the mid pint of side'YZ', 'XZ', and 'XY'
from the centroid Theorem, we can write;
XP = 2/3 * XU
plug the values 'XU' in the above equation:
XP = 2/3 *57
XP = 2*19
XP = 38
from figure:
XP + PU = XU
PU = XU - XP
Plug 'XU' and 'XP'
PU = 57 -38
PU = 19
therefore, the PU of the given triangle is 19 units.
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Complete question:
2. Rabbit Problem
When rabbits were first brought to Australia last
century, they had no natural enemies so their numbers increased
rapidly. Assume that there were 60,000 rabbits in 1865, and that by
1867 the number had increased to 2,400,000. Assume that the num-
ber of rabbits increased exponentially with the number of years that
elapsed since 1865.
Write the particular equation for this function,
b. How many rabbits would you predict in 1870?
c. According to your model, when was the first pair of rabbits in-
troduced into Australia?
According to the exponential function,
a) The function that models the given situation is f(rabbits) = 65000(√500/13)ˣ
b) The number of rabbits in 1870 is 6.5
c) According to your model, the first pair of rabbits introduced into Australia is 19th century
Here we have given that during the 19th century, here rabbits were brought to Australia.
And here we also know that the rabbits had no natural enemies on that continent, their population increased rapidly.
And we have given that there were 65,000 rabbits in Australia in 1865 and 2,500,000 in 1867.
Then according to the exponential function that could be used to model the rabbit population y in Australia in terms of x, the number of years since 1865 is to be determined.
Then the exponential function can be written as,
=> f(rabbits) = 65000(√500/13)ˣ
When we plot these on the graph then we get the graph like the following.
Through the graph we have identified that the value of rabbits in 1870 is 6.5
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