The statistical test in which the mean difference between two groups is compared to a distribution of differences between means is known as the t-test.
What statistical test to use when comparing more than two groups?The one-way analysis of variance (ANOVA) is the suitable procedure in place of the t-test for a comparison of more than two group means. The ANOVA is interested in the locations of the distributions indicated by means as well since it has the same underlying assumptions as the t-test.
What is the difference between ANOVA and a t-test?ANOVA is used to compare the means among three or more groups, while the Student's t-test is used to compare the means between two groups. First receives a shared P value in an ANOVA. The ANOVA test results with a significant P value for at least one pair where the mean difference was statistically significant.
From the above theory, the test specified above is termed as the t-test.
To learn more about t-tests click the following link:-
https://brainly.com/question/6589776
#SPJ4
3. two sides of a triangle have lengths 12m and 15m. the angle between them is increasing at a rate of 0.35 radians/minute. a. how fast is the area of the triangle increasing when the angle between the given sides is /6
The area of the triangle will increase at a rate of 3.81 m² per second
Given,
The length of the sides of the triangle are base, 12 m and hypotenuse 15 m
Area of the triangle = 1/2 bh
We have to find h;
That is,
Sin ∅ = opposite side /hypotenuse = h/15
h = 15Sin ∅
d∅/dt = 0.06rad/s
Now,
A = bh/2 = 12 × 15sin∅/2
A = 90sin∅,
By differentiating this equation with respect to A, we have
d(A)/dt = 90cos∅d∅/dt
d(A)/dt = 90cos∅(0.06)
∅ = π/4, cosπ/4 = 0.7071
90×0.7071×0.06
= 3.81m²/s
That is,
The area of the triangle will increase at a rate of 3.81 m² per second
Learn more about rate of increase in area here;
https://brainly.com/question/15098383
#SPJ4
Classify the following triangle. Check all that apply.
A. Acute
B. Equilateral
C. Scalene
OD. Obtuse
OE. Isosceles
OF. Right
Answer:
A and B
Step-by-step explanation:
The triangle is labeled that all three sides are equal and all three angles are equal; thus, it is an equilateral triangle and “B” is correct.
Acute triangles have all acute angles. Understanding that the triangle is equilateral, equilateral triangles have all equal angles, and the total of all three angles in a triangle is 180, we can determine that all three angles are acute and the triangle is acute, so “A” is right. (one angle = x; three angles are equal and add up to 180 —> 3x = 180; x = 60; all angles are acute).
You are completing a math assessment. The number of questions you complete and the time it takes you to complete them have a proportional relationship, as shown in the table.
Number of Questions 6 11
Time (in minutes) 15 ?
How much time does it take to complete 11 questions?
It will take 27 minutes 30 seconds to complete eleven questions.
What is direct proportionality?When two values are directly proportional, it indicates that if one increases by a specific percentage, the other also increases by the same percentage, direct proportionality is represented by a straight line and it equation is of the form -
y = kx
k = y/x
where [k] is the constant
Given is that the number of questions [y] completed and time [x] it takes to complete them are proportional to each other.
The number of questions [y] completed is proportional to the time [x] it takes to complete them.
That means,
y ∝ x
y = kx, where k is constant.
k = y/x
So, we can write;
y₁/x₁ = y₂/x₂
According to the question:
Let y₁= 6, x₁= 15, y₂= 11.
Substituting the values,
6/15 = 11/x₂
x₂ = 11 x 15 / 6
x₂ = 11 x 5 / 2
x₂ = 55 /2
x₂ = 27. 5
x₂ = 27 minute and 30 seconds.
Therefore, it will take 27 minutes 30 seconds to complete 11 questions.
To learn more about the direct proportionality;
brainly.com/question/20400984
#SPJ1
how would I make (-3,2); y=-4 into a slope-intercept form equation??
The required equation of the line in the slope-intercept form is given as x = -3.
Given that,
to determine the equation of the line passing through (-3,2 and perpendicular to the line y = -4,
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the given line y = -4 is,
m = 0
Slope of the required line = -1/ 0
Now,
Slope intercept form of the equation,
y - y₁ = m (x - x₁)
y - 2 = -1/0{x + 3}
x = -3
Thus, the required equation of the line in the slope-intercept form is given as x = -3.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ1
What is the difference between addition and subtraction of polynomials?
The difference between addition and subtraction of polynomials is that addition involves like terms and subtraction involves taking one polynomial away from another.
A polynomial is characterized as an expression that is composed of variables, exponents, and constants, that are combined utilizing numerical operations such as addition, subtraction, multiplication, and division (No division operation by a variable).In addition to polynomials, the like terms are included whereas, in subtraction, the like terms are subtracted. The addition of polynomials involves combining like terms to form a single expression, while subtraction involves taking one polynomial away from another. In addition, when subtracting polynomials, the sign of each term in the second polynomial needs to be changed (from positive to negative, or from negative to positive).
To know more about polynomials refer to the link brainly.com/question/11536910
#SPJ4
In a sale, the price of a computer is reduced by $124. The sale price is $1,394. Find the marked price (original price) and the rate of the discount. Round the discount rate to the nearest tenth of a percent if necessary. A. $1,270; 8. 9% c. $1,518; 8. 9% b. $1,270; 9. 79% d. $1,518; 8. 2%.
The marked price is $1518 and the rate of the discount is 8.9%.
What is meant by marked price?The marked price or list price is the amount that appears on a product's label. This is the price that the product will be sold for. But this price might be discounted in some way, and the product's real selling price might be less than the advertised price. Typically, MP is used to indicate it.
This was the initial selling price, but $194 was deducted, making the final price $1394.
Use the following formula to determine percent markdown:
(Markdown amount/Selling price)×100 is the percent markdown.
To locate Markdown
Original Selling Price – Markdown Price
Connect what you have now.
Markdown=$1518-$1394
M=124
The Markdown, as we already know, is 124.
At this point, Percent Markdown equals (124/1394)×100 PM=0.088952654×100
PM=8.9 (rounded)
As a result, the growth rate is 8.9%.
And $1394+$124=$1518.
Hence, The marked price is $1518 and the rate of the discount is 8.9%.
To know more about discount rate, visit:
https://brainly.com/question/12393596
#SPJ4
Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 1- square root of 3 , and 6-i.
The polynomial function is P(x) = x⁴ - 14x³ + 59x² - 50x - 74
What is a polynomial?A polynomial is a function in which the least power of the unknown is 2.
What is the root of a polynomial?The root of a polynomial is the value of the unknown which makes the polynomial equal zero.
How to find the polynomial of least degree having real coefficients?Since we have that the given polynomial has roots 1 - √3 and 6 - i.
We also know that their conjugates 1 + √3 and 6 + i are also roots of the polynomial.
So, the factors of the polynomial are
x - (1 - √3) = (x - 1) + √3x - (1 + √3) = (x - 1) + √3x - (6 - i) = (x - 6) + i andx - (6 + i) = (x - 6) - iSo, the required polynomial is P(x) = [(x - 1) + √3][(x - 1) - √3][(x - 6) + i][(x - 6) - i]
= [(x - 1)² - (√3)²][(x - 6)² - i²] (Since a² - b² = (a - b)(a + b))
= [(x - 1)² - 3][(x - 6)² - (- 1)]
= [(x - 1)² - 3][(x - 6)² + 1]
Expanding the brackets, we have
= [x² - 2x + 1 - 3][(x² - 12x + 36 + 1]
= [x² - 2x - 2][(x² - 12x + 37]
= x⁴ - 12x³ + 37x² - 2x³ + 24x² - 74x - 2x² + 24x - 74
Collecting like terms, we have
= x⁴ - 14x³ + 59x² - 50x - 74
So, the polynomial is P(x) = x⁴ - 14x³ + 59x² - 50x - 74
Learn more about polynomial here:
https://brainly.com/question/2833285
#SPJ1
you buy 15 apples and a $2.75 block of cheese. the bill cost $6.20. write and solve an equation to find "a" the cost of each apple
The cost of each apple is equal to $0.23.
Linear Function
An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=8x+3. Where:
m= the slope.
b= the constant term that represents the y-intercept.
For the given example: m=8 and b=3.
The question gives:
15 apples (A)$2.75 block of cheesebill cost = $6.20You should convert the data into an equation:
15A+2.75=6.20
15A=6.20-2.75
15A=3.45
A=3.45/15
A=0.23
Learn more about the linear equations here:
brainly.com/question/2030026
#SPJ1
How do you determine a linear function?
The function is linear when the highest degree the the function is 1 .
In the question ,
we have been asked about when a function is called as linear .
By the definition ;
the Linear function is the function that has the highest degree as 1 and
On the coordinate plane the linear function represents the straight line .
the general form of the linear function is f(x) = mx + d ,
the slope is "m" and the y intercept is "d" .
The Examples of Linear Function are
f(x) = 3x + 2 ,
f(x) = -6x + 7
f(x) = 8 .
Therefore , the characteristic for the function to be linear is explained above.
Learn more about Linear Function here
https://brainly.com/question/29552489
#SPJ4
What is the equation of the line through 1 2 which makes equal intercepts on the axis?
The equation of the line through [tex](1,2)[/tex] which make equal intercepts on the axis [tex]x+y=3[/tex]
The equation of the line through (1,2) makes an equal intercept on the axis
The formula of the intercept form is
[tex]\frac{x}{a} +\frac{y}{b} =1[/tex]
If they make an equal intercept
[tex]a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a[/tex]
Put the value of the point in the axis, and we get.
[tex]1+2=a\\a=3[/tex]
Put the value in the equation, and we get.
[tex]x+y=3[/tex]
Learn more about equations from
https://brainly.com/question/29657983
#SPJ4
Marissa decides she wants to retire early. She makes an initial deposit of $1,000. Her contributions are $500 a month for the next 15 years. She chooses to invest in the US stock market through an index fund with a 7% return annually. What is the balance of Marissa’s retirement account after 15 years?
The balance of Marissa’s retirement account after 15 years if She makes an initial deposit of $1,000. Her contributions are $500 a month for the next 15 years is $8500.
What is interest?
When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given data:
Initial deposit = $1000
Her contributions are $500 a month for the next 15 years
Amount after 15 years = Initial deposit + 15 × 500
Amount after 15 years = $1000 + 7500
Amount after 15 years = $8500
Therefore, the balance of Marissa’s retirement account after 15 years if She makes an initial deposit of $1,000. Her contributions are $500 a month for the next 15 years is $8500.
To know more about interest:
https://brainly.com/question/29222674
#SPJ1
An animal pen is in the shape of a regular heptagon. What is the measure of each interior angle of the animal pen? round to the nearest tenth.
The required measurement of each interior angle of the animal pen
What is interior angle?An interior angle is a point inside a shape. The polygons are the shut shape that has sides and vertices. A standard polygon has generally its interior angle equivalent to one another. For instance, a square has generally its interior angle equivalent to the right point or 90 degrees.
According to question:The question expects us to track down the inside point of a customary heptagon.
To do this initially compute the outside angle of that polygon.
The amount of outside angle is 360°. A heptagon has 7 sides.
Along these lines, one exterior angle = 360°/7 = 51.4°
inside angle+exterior angle=180°
Interior angle = 180-51.4 = 128.6°
Thus, required interior angle is 128.6°.
To know more about interior angle visit:
brainly.com/question/10638383
#SPJ4
What is the quotient for this division problem? x+33x2−2x+5 A −3x−7+26x+3 B −3x+11+38x+3 C 3x+7+26x+3 D 3x−11+38x+3
The quotient of given polynomials division is x+2. So, the correct answer is option A.
What is a quotient?A quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
Given that, (x²+3x+2)÷(x+ 1)
x²+3x+2 can be written as
x²+1x+2x+2 (Splitting of middle term)
= x(x+1)+2(x+1)
= (x+1)(x+2)
Now, (x+1)(x+2)÷(x+1)
= [(x+1)(x+2)]/(x+1)
= (x+2)
Therefore, option A is the correct answer.
Learn more about the quotient here:
https://brainly.com/question/16134410.
#SPJ1
What is the quotient of the following division problem (x²+3x+2)÷(x+ 1).
a. x+ 2
b. x +1
c. x²+3x +2
d. 0
Find the slope between the following points: (-4,7), and (4,—10)
Answer:
-17/8
Step-by-step explanation:
-10-7 -17
---------- = -------
4-(-4) 8
Help please! I’m struggling:(
Answer:
B
Step-by-step explanation:
The median is the mid point value. Basically the median is whatever number is in the middle.
in a stopwatch time study, the number of cycles that must be timed is a function of: (i) the variability of observed times. (ii) the desired accuracy for the estimated job time. (iii) the desired level of confidence for the estimated job time.
To calculate the number of cycles we need above 3 options
Stop Watch Time Study:
Stop Watch Time Study is one of the equipment used for Time Study. It is employed for measuring the time taken by an operator to complete the work. Stop watch used for time study purpose should be very accurate and preferably be graduated in decimals so that it can recover even up to 0.01 minute.
A large hand in the stop watch is revolved at a speed of one revolution per minute. The dial of the stop watch is divided into 100 equal divisions. The small hand inside the stop watch revolves at a speed of one revolution in 30 minutes.
Given that
In a stopwatch time study, the number of cycles that must be timed is a function of:
options are
(i) the variability of observed times.
(ii) the desired accuracy for the estimated job time.
(iii) the desired level of confidence for the estimated job time
To calculate the number of cycles we need above 3 options
To learn more about number of cycles:
https://brainly.com/question/827873
#SPJ4
Do linear equations have 2 answers?
In general, linear equations have one solution. However, they can have infinitely many solutions in some cases.
A linear equation in mathematics is an equation that can be written in the form
ax + b = 0
The values of x that make this equation true are the solutions to the equation. Generally speaking, linear equations have one solution, which means that there is only one value of x that will make the equation true. However, in some cases, linear equations can have infinitely many solutions. For example, if a = 0 and b = 0, then any value of x will make the equation true.
Learn more about linear equation here
https://brainly.com/question/11897796
#SPJ4
someone help please step by step
Answer:
[tex]x^{1}[/tex]=[tex]\frac{-3-\sqrt{7} }{2}[/tex] [tex]x^{2}[/tex]=[tex]\frac{-3+\sqrt{7} }{2}[/tex]
Step-by-step explanation:
1) collect like terms and move everything to the left
2[tex]x^{2}[/tex]2+3x-3+3x+4=0
2[tex]x^{2}[/tex]2 +6x-3+4=0
2) find the coefficients so you can plug them into the quadratic formula
a=2, b=6, c=1
3) plug these into the quadratic formula
4) use a calculator to solve both the positive and negative equations
you want to grade on the normal curve. what characteristic of the distribution used should be of most concern
The class mean and standard deviation of the distribution used should be of most concern.
What is mean and standard deviation?
In statistics, the measurement of variability known as the standard deviation (SD) is frequently utilised. It demonstrates how different things are from the norm (mean). While a high SD shows that the data are dispersed throughout a wide range of values, a low SD suggests that the data points tend to be close to the mean.The mean and SD provide information about the average value and the average distribution of values around the mean, respectively.The standard deviation is a measure that summarises how far away from the mean each observation is. The positive would exactly balance the negative if the discrepancies themselves were totaled together, making their aggregate equal to zero.To know more about mean check the below link:
https://brainly.com/question/1136789
#SPJ4
What happens to the area when you dilate?
When we dilate the area , it is multiplied by the square of dilation factor .
In the question ,
it is given that ,
the area of the figure ,
we have to explain what will happen to the area when we dilate the figure .
let the figure be a square ;
let the unit square's length be x ,
and let the dilation factor be "k" ;and
So ,the comparison square's length be kx .
the area of the original square is = x² and
the area of the new square is = (kx)²
So , the ratio of the areas will be = (kx)²/x²
simplifying further ,
we get ,
= k² .
Therefore , the area gets multiplied by k² .
Learn more about Dilation here
https://brainly.com/question/16017254
#SPJ4
Explain why it makes sense that the demand function has a negative slope.
The amount of a good that is demanded will decrease as its price rises
What is Law of Demand ?According to the Law of Demand, there is an indirect correlation between a good or service's price and the amount of that good or service that customers are willing and able to purchase .In other words, if an item's price increases, people are less able and willing to buy it, and vice versa.
According to the law of demand, the demand curve demonstrates the inverse relationship between the amount of items sought and price.
The amount of a good that is demanded will decrease as its price rises. The demand curve will therefore have a negative slope if the law of demand and its underlying assumptions are true.
To know more about Law of Demand
https://brainly.com/question/15072976
#SPJ1
Does a dilation affect the slope?
Answer: no
Step-by-step explanation: the slope stays the same because the image and pre- image are parallel which means their slope is equal
what is the answer to 281+1
Answer: 282
Step-by-step explanation:
A delivery service charges a flat rate of $4.25 per box plus an additional
amount per ounce. Carl mailed a four-pound package at a cost of $10.65.
How much did Carl have to pay per ounce?
The answer is 9 (2b - 5)
Answer:
18b-45
Step-by-step explanation:
9(2b-5)
9*2b-9*5
18b-9*5
18b-45
Answer:
9(2b - 5)
Distribute
9(2b - 5)
18b - 45
Solution
18b - 45
if the probability of a dancing lady accepting an invitation to dance is 0.18, find the expected number of ladies you would have to ask before one accepts.
If the probability of a dancing lady accepting an invitation to dance is 0.18.The accepted number of ladies asked before is 7.14 .
Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).
According to the above discussion:
P{x(bar) (0.18)} = 0.07142371
= 7.14%
Therefore, the expected number is 7.14%.
Learn more about Probability:
https://brainly.com/question/9793303
#SPJ4
Please answer all questions ( AT LEAST 2 OR 1 ) fast! Who ever give me the first answer that is right and does all of them will get brainiest:
1. A local community bank has 31 employees on it’s rolls. 15 employees work part-time at the bank. What fraction of full-time employees work in the bank?
2. David was gifted a 28 piece puzzle by his aunt. He has fixed 19 pieces of the puzzle.What fraction of pieces does David need to fix to complete the puzzle?
3. 20 girls were dressed in green outfits and 10 girls donned red outfits at a dance recital. What fraction of girls wore red outfits?
5. A section of Tina’s bookshelf has 15 French books and 6 Spanish books. What fraction of books on the shelf are in Spanish?
1. The fraction of full-time employees who work in the bank is 16/31.
2. The fraction of pieces that David need to fix to complete the puzzle is 9/27
3. The fraction of girls that wore red outfits is 1/2.
4. The fraction of books on the shelf that are in Spanish is 2/7.
How to calculate the fractions?1. Alocal community bank has 31 employees on it’s rolls. 15 employees work part-time at the bank. The fraction of full-time employees will be:
= (31 - 15) / 31
= 16/31
2. David was gifted a 28 piece puzzle by his aunt. He has fixed 19 pieces of the puzzle. The fraction of pieces that David need to fix will be:
= (28 - 19)/28
= 9/28
3. 20 girls were dressed in green outfits and 10 girls donned red outfits at a dance recital. The fraction of girls that wore red outfits will be:
= 10/20
= 1/2
4. A section of Tina’s bookshelf has 15 French books and 6 Spanish books. The fraction of books on the shelf that are in Spanish will be:
= Spanish books / Total books
= 6 / (15 + 6)
= 6/21
= 2/7
The above illustrate the fraction.
Learn more about fractions on:
brainly.com/question/78672
#SPJ1
Multiple 3/8 by the whole part and the fractional part
Multiplying 3/8 by the whole part and the fractional part is 21/32.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, the whole and fractional part can be 1 3/4.
Therefore, the multiplication by 3/8 will be:
= 3/8 × 1 3/4.
= 3/8 × 7/4
= 21 / 32.
The fraction is 21/32.
Learn more about fractions on:
brainly.com/question/78672
#SPJ1
Complete question
Multiply 3/8 by 1 3/4 which depicts the whole part and the fractional part.
Helpppp
(5-√11) : 3 √7
Answer:
= 5√7 - 3√77: 63 or 5√7 - 3√77/63
What is the value of x in the solution to this system of equations?
y + 2x = -1
y=x+4
F.3
G65
H.-10/3
J.-2
The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.
Define elimination method.The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients. To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.
Given,
Equations:
y + 2x = -1
y = x + 4
y - x = 4
Using elimination method,
y + 2x = -1
y - x = 4
-------------
x = 3
The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.
To learn more about elimination method, visit:
https://brainly.com/question/12090959
#SPJ1