The appropriate test to see if neck size and number of teeth have a linear relationship in 18 randomly selected puppies is the t-test for slope of regression line.
A regression line is a line that best fits the data by minimizing the sum of the squared differences between the observed and predicted values. A t-test for slope of regression line tests the null hypothesis that the slope of the regression line is equal to zero, which would indicate that there is no linear relationship between the variables.
In this case, neck size and number of teeth are two continuous variables and we want to test if there is a linear relationship between them. A t-test for slope of regression line would provide information on the significance of the relationship and the direction of the relationship (positive or negative).
It is important to note that the test conditions such as independence, normality, and homoscedasticity must be met before conducting the test. If these conditions are not met, the results of the test may be biased and should be interpreted with caution.
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Complete Question: Comparing the neck circumference (in inches) and tooth count of 18 puppies chosen at random. Which statistical analysis should be performed to determine whether there is a linear relationship between neck size and tooth count? Assume that every test requirement is satisfied.
a. Z-test with two samples
b. T-test with two samples
c. Test of two proportions
d. T-Test for Regression Line Slope
e. Z-test for one proportion
Please help e find rration for cos b. Fraction only!
The value of cos B in the fraction is 12/37.
What is a right-angled triangle?A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.
Given:
A right-angled triangle.
The trigonometric identity:
Cos B = Adjacent leg of the triangle/ Hypotenuse of the triangle
Cos B = 12/37
Therefore, Cos B = 12/37.
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Jake is traveling 12 mph in his boat. After 3 hours. How far will he have traveled?.
A wall is separated into two sections, A and B. The function A(x) = 4x − 1 represents the length of section A. The function B(x) = 8x − 3 represents the length of section B. What is the total length of the wall in terms of x?
1. (A + B)(x) = 12x2 − 20x − 4
2. (A + B)(x) = 32x2 − 20x + 3
3. (A + B)(x) = 32x + 4
4. (A + B)(x) = 12x − 4
Answer: 4 is correct
Step-by-step explanation:
A(x) + B(x) = (4x - 1) + (8x - 3)
= 12x - 4
For a moving object, the force on the object varies directly with the objects acceleration. When a force of 30 N acts on a certain object, the acceleration of the object is 10 m/s^2. If the force is changed to 9 N, what will be the acceleration of the object?
Answer: The force on an object is directly proportional to its acceleration, which means that if the force is increased, the acceleration will also increase, and if the force is decreased, the acceleration will decrease. This can be expressed mathematically as:
F = k * a
where F is the force, a is the acceleration, and k is a constant of proportionality.
We can use the given information to find the value of k:
30 N = k * 10 m/s^2
k = 3 N*s^2/m
Now we can use this value of k to find the acceleration when the force is 9 N:
9 N = 3 Ns^2/m * a
a = 3 Ns^2/m / 9 N
a = 1/3 m/s^2
Therefore, the acceleration of the object when the force is 9 N is 1/3 m/s^2.
Suppose a is nn and the equation ax0 has only the trivial solution. Explain why a has n pivot columns and a is row equivalent to
The equation Ax = 0 has no free variables, so A has n pivot columns. Since A is square, the pivots must be on the main diagonal, so A is row equivalent to the n x n identity matrix Iₙ.
In order for the equation Ax = 0 to have only the trivial solution, there must be no free variables. This means that the matrix A must have n pivot columns. Since A is square, the n pivot positions must be in different rows, which means that the pivots must be on the main diagonal. This means that A is row equivalent to the n x n identity matrix Iₙ. To make it row equivalent, we can perform elementary row operations, such as adding or subtracting rows, or multiplying or dividing a row by a non-zero constant. Once we have done this, the matrix will be in echelon form and the main diagonal will be composed of all 1s. This means that A is row equivalent to Iₙ.
The complete question: Suppose A is nˣn and the equation Ax=0 has only the trivial solution. Explain why A has n pivot columns and A is row equivalent to Iₙ
Choose the correct answer below.
A. Suppose A is nˣn and the equation Ax = 0 has only the trivial solution. Then there are no free variables in this equation, thus A has n pivot columns. Since A is square and the n pivot positions must be in different rows, the pivots in an echelon form of A must be on the main diagonal. Hence A is row equivalent to the nˣn identity matrix, Iₙ.
B. Suppose A is nˣn and the equation Ax = 0 has only the trivial solution. Then there are no free variables in this equation, thus A has n pivot columns. Since A is square and the n pivot positions must be in different rows, the pivots in A must be on the main diagonal. Hence A is the nˣn identity matrix, Iₙ.
C. Suppose A is nˣn and the equation Ax=0 has only the trivial solution. Then there are n free variables in this equation, thus A has n pivot columns. Since A is square and then pivot positions must be in different rows, the pivots in an echelon form of A must be on the main diagonal. Hence A is row equivalent to the nˣn identity matrix, Iₙ
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Use synthetic division and the remainder Theorem to find the indicated function value.
f(x) = 5x³-13x² + 4x-2: f(2)
To find f(2) using synthetic division, we set up the synthetic division table with the coefficients of the polynomial:
What is synthetic division?Synthetic division is a shorthand method of dividing a polynomial by a linear factor of the form (x - a), where a is a constant. The method is used to simplify the long division process and is particularly useful for finding the roots of a polynomial.The basic idea behind synthetic division is to use the coefficients of the polynomial and the constant a to create a condensed division table that eliminates the need for writing out all the intermediate steps of the division process.2 │ 5 -13 4 -2
│ 10 -6 -2
└───────────
5 -3 -2 0
The last entry in the bottom row of the table gives the remainder of the division, which is f(2). Therefore, we have:
f(2) = 5(2)³ - 13(2)² + 4(2) - 2 = 40 - 52 + 8 - 2 = -6
So, the value of the function f(x) = 5x³-13x² + 4x-2 at x = 2 is f(2) = -6.
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I can't remember what to do
The solution of the inequalities is (0.67, 3.33)
How to make the solution of the inequalitiesFrom the question, we have the following parameters that can be used in our computation:
y >= 2
x + y <= 4
y <= 2x + 2
Next, we plot the graph of the inequalities
Using the above as a guide, we have the following:
The solution is (0.67, 3.33)
This is so because the lines intersect at (0.67, 3.33) for y >= 2
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Which of the following statements are true about the right triangle? Select all that apply.
Answer:
the answer is B) and E)
Step-by-step explanation:
it's not that complicated, just have to subtract 12 from 37
Answer:This is a right triangle.One of the legs has a length of 20.
Step-by-step explanation:
(Theoretical Probability MC)
Joseph has a bag filled with 3 red, 3 green, 9 yellow, and 10 purple marbles. Determine P(not green) when choosing one marble from the bag.
92%
88%
24%
12%
The probability of not selecting a green marble is equal to the total number of non-green marbles in the bag divided by the total number of marbles in the bag.
What is the meaning of probability and it will be calculated?To calculate the probability: there are three green marbles out of a total of twenty-five marbles, so the probability of selecting a green marble is 3/25.
The likelihood of not selecting a green marble is then 1 - 3/25 = 22/25.
This is equal to 22/25 * 100 = 88% as a percentage.
As a result, P(not green) = 88%
Probability denotes the possibility of something happening. It is a mathematical branch that deals with the onset of a random event. The value ranges from zero to one. Probability has been tried to introduce in mathematics to predict the probability of events occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also used in probability distribution, in which you will learn about the possible outcomes of a random experiment.
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WILL GIVE BRAINILEST
Step-by-step explanation:
5 × -8a = -40a
5 × -9 = -45
-40a - 45 = 5(-8a - 9)
5 × -8a = -40a
5 × -9 = -45
-40a - 45 = 5(-8a - 9)
Here are the ingredients needed to make 16 chocolate biscuits.
-chocolate biscuits
makes 16 chocolate biscuits
100g of butter
50g of caster suger
120g of flour
15g of cocoa
sabrina wants to make chocolate biscuits for 24 people
how much of each ingredients will she need?
Overview
b)
Question Progress
a)
2
4
ܠ
5
6
7
Solve the equation.
8
10
Homework Progress
I think of a number, multiply it by three, and add four. I get twenty two
20/23 Marks
Using the statement above, form an equation.
Use the letter 'x' for the unknown number.
+
Answer:
Step-by-step explanation:
a) Just work backwards!
Instead of adding 4, subtract by 4
Instead of multiplying by 3, divide by 3
22 - 4 / 3 = x
b)
22 - 4 = 18
18 / 3 = 6
Therefore, x = 6
Chef Ramsy used 1/4 of a bag of flour to make some muffins and twice as many cupcakes.The amount of flour he used for each muffins was 3 times as much as each cupcake.Chef Ramsy used 5/6 of the remaining bag of flour on a cake.He used 256.5g more flour on the cake than the muffins.
What friction of the bag of flour was used on the muffins?
How much flour was there in the bag at first?
Answer:
I'd say about a couple
you're welcome
Help me. Pls. Cuz. Am. Gonn. Die if I didn't solve this!!
Answer:
See the picture
Step-by-step explanation:
The 1 tells us where to start. This is our y-intercept. We start when x =0 and y =1. The y intercept is 1 (0,1). You see it in green.
From that point (0,1) you go up 1 and 2 to the right. This is the slope. You see it in pink.
Once you have the begin part in pink. You join it to the pink points and draw your line.
you can improve this result by measuring dictionaries together. if you want to know the thickness of 1 page with an uncertainty of only 7.0 x 10-7 in., what is the minimum number of (whole) dictionaries that you need to measure together?
The minimum number of (whole) dictionaries that you need to measure together is s ≤ 7.0 x 10⁻⁷
Measurement is the process of determining the size, amount, or degree of something, usually using an instrument or a tool.
To determine the thickness of one page in a dictionary, you can measure a number of dictionaries together and average the results.
To achieve an uncertainty of only 7.0 x 10-7 inches in your measurement of one page, you need to determine the minimum number of dictionaries that you need to measure together.
Let's assume that you have N dictionaries and the thickness of the i-th dictionary is xi. Then, the average thickness of one page is given by:
(x1 + x2 + x3 + ... + xN) / N = x
The uncertainty in the average thickness of one page is given by:
s = √(∑((xi - x_bar)²)/(N-1)) / √(N) = √(∑((xi - x_bar)²)/N²(N-1))
We want to find the minimum value of N such that the uncertainty in the average thickness, s, is less than or equal to 7.0 x 10⁻⁷ inches.
So, we have:
s <= 7.0 x 10⁻⁷
Complete Question:
1. You have a set of calipers that can measure the thicknesses of a few inches with an uncertainty of + 0.0050 inches. You measure the thickness of one Oxford American Dictionary (2096 pages) and get 2.51 in.
You can improve this result by measuring dictionaries together. If you want to know the thickness of 1 page with an uncertainty of only 7.0 x 10⁻⁷ in., what is the minimum number of (whole) dictionaries that you need to measure together?
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Albert Einsteen is experimenting with 2 unusual clocks which both have 24-hours displays. Once clock goes at
twice the normal speed. The other clock goes backwards, but at the normal speed. Both clocks show the correct time
at 13:00. What is the correct time when the displays on the clock next agree?
The correct time when the displays on the clocks next agree is 01:00.
Let's assume that one hour on the normal clock is equal to x.
The clock that goes twice as fast takes x/2 hours to show one hour on the normal clock.
And the clock that goes backward takes 24 - x hours to show one hour on the normal clock.
At 13:00, both clocks show the correct time.
So, x/2 + x = 24 - x + x.
Simplifying the equation:
24 = x + x/2
Multiplying both sides by 2:
48 = 2x + x
Subtracting x from both sides:
48 - x = 2x
Solving for x:
x = 24
So, one hour on the normal clock is equal to 24 hours.
The clock that goes twice as fast will show one hour in 24/2 = 12 hours.
And the clock that goes backward will show one hour in 24 - 24 = 0 hours.
So, when the displays on the clock next agree, it will be 12 + 0 = 12 hours after 13:00, which is 01:00.
So the correct time when the displays on the clocks next agree is 01:00.
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find missing side lengths, leave your answers as radicals in simplest form
HELPP W THESE PROBLEMS
Answer:
u have to put lenght ×weight =volume
Barret is looking at a building on the school grounds which is shaped like a rectangle as shown. He knows the building has a height of 32x ft, width of 46x and the diagonal of the building is 200ft
The value of x is √12.73 when Barrett is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.
Definition of Pythagoras Theorem:
The square of the long side of a right-angled triangle is equal to the sum of the squares of the other two sides.
It is stated in this formula:
[tex](side)^2+(side)^2=(hypotenuse)^2[/tex]
Given that,
Barrett is focusing on a rectangle-shaped structure on the school's property. He is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.
We must determine what x stands for.
We know that,
The height of building is 32x.
The width is 46x
The diagonal is 200 feet
So we form a triangle
From the Pythagoras theorem,
Hyp² = Side²+ Side²
200² = (32x)² + (46x)²
40000 = 1024x² + 2116x²
3140x² = 40000
x² = 12.73
Square root on both sides
x = √12.73
Therefore, The value of x is √12.73 when Barrett is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.
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Billy buys candy bars for $12.50. Each candy bar cost costs $0.75. How many candy bars did he buy?
Answer:
16 candy bars
Step-by-step explanation:
We know
Each candy bar cost costs $0.75
Billy buys candy bars for $12.50
How many candy bars did he buy?
We take
$12.50 divided by $0.75 = 16 candy bars
So, he bought 16 candy bars.
Answer:
16 2/3 candy bars. Usually you cannot buy 2/3 of a candy bar so I am wondering if a number was copied incorrectly.
Step-by-step explanation:
12.50/.75 = 16 2/3 candy bars
16 candy bars would cost $12.00
16 x .75 = 12.00
When given a set of cards lying face down that spell M, A, T, H, R, O, C, K, S, determine the probability of randomly drawing a vowel. one nineth two nineths one third three sixths
Answer:that is correct it is 2/9
Step-by-step explanation:
kevin and jerome are cleaning a pool together. kevin can clean the pool on his own in 4 hours and jerome can clean the pool on his own in 6 hours. how many hours will it take the two boys working together to clean the pool?
It would take the two boys working together 2.38 hours to clean the pool.
The formula for working out the time it would take two people to complete a job when working together is:
T(combined) = 1 / (1/T1 + 1/T2)
Where T1 is the time it takes one person to complete the job and T2 is the time it takes the other person to complete the job.
In this case, T1 is 4 hours for Kevin and T2 is 6 hours for Jerome.
To solve the equation:
T(combined) = 1 / (1/4 + 1/6)
T(combined) = 1 / (0.25 + 0.17)
T(combined) = 1 / 0.42
T(combined) = 2.38 hours
Therefore, it would take the two boys working together 2.38 hours to clean the pool.
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Chelsea is making a quilt and she has determined she needs 1472 square inches of burgundy fabric and 399 square inches of yellow. How many square yards of each material will she need? Round your answers up to the nearest quarter yard.
The burgundy fabric:
Incorrect square yards
The yellow fabric:
How many total yards of fabric will she have to buy?
square yards
The burgundy fabric:1.135 square yards
The yellow fabric: 0.307 square yards
The total yards of fabric will she have to buy 1.442 square yards.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
Chelsea needs 1472 square inches of burgundy fabric and 399 square inches of yellow.
As, 1 yards= 36 inches
and, 1 square yards= 1296 inches
Then, 1472 square inches of burgundy fabric
= 1472/ 1296
= 1.135 square yards
and, 399 square inches of yellow.
= 399/ 1296
= 0.307 square yards
Thus, the total yards of fabric will she have to buy
= 1.135 + 0.307
= 1.442 square yards
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7.4 big ideas question
PLEASE HELP!! I DID THE GRAPH ALREADY BUT IM CONFUSED ON HOW MANY CUPS BECAUSE 1 HAS NONE AND IM NOT SURE IF I SHOULD PUT 0 BECAUSE 1 HAS NOTHING OR PUT THE 2ND SMALLEST FROM 1
Hi, its me again. Find angle AOB
Answer:
AOC=360-130 = 230
ABC= 230/2=115
Answer:
∠ABC = 115∘
Step-by-step explanation:
∠ABC = 1/2 ∠AOC
(Angle subtended by a chord on major area is half of that subtended on center)
∴ ∠ABC = 1/2 x 130 = 65
ABCD is a cyclic quadrilateral
Sum of opposite angles = 180∘
∴ ∠ABC + ∠AOC = 180∘
∠ABC + 65 = 180∘
∠ABC = 115∘
Determine if the expression
−
�
3
10
+
7
�
−
10
c
3
+7c is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
The given expression is polynomial and degree of the polynomial is 2.
What is polynomials?
Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.
the expression -10c° – c + 3c²
So the given expression is a polynomial,
The highest degree of the polynomial will be 2
Hence The given expression is polynomial and degree of the polynomial is 2.
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Compare the volume and surface area of a sphere with a radius of 5 in. with that of a cube that has sides measuring 8.06 in.
1: The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.
2: The volume of the sphere is approximately equal to the volume of the cube, but the cube has a greater surface area.
3:The volume of the cube is greater than the volume of the sphere, but the sphere has a greater surface area.
4:The sphere and the cube have approximately the same volume and surface area.
The correct statement is : The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.
What are the surface area and volume of a sphere?Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.
Given here: A sphere with 5 in. radius and a cube with side measuring 8.06 in.
Volume of the sphere is
V=4/3πr³
=4/3·π·5³≈523.59878 in³
Surface area of the sphere is
A=4πr²
=4·π·5²≈314.15927 in²
Now volume of the cube
a³=8.06³
≈523.60662 in³
Surface area of the cube
A=6a²
=6×8.06²
≈389.7816 in²
Thus The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.
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On the first day of a trip, George traveled 295.6 kilometers. On the second day of the trip, George traveled twice as far as he did on the first day. How far did George travel all together during the two days of the trip?
Answer:
591.2 kilometers
Step-by-step explanation:
times 295.6 × 2 and you will get 591.2
Identify the percent of change as an increase or a decrease.
5/4
to 3/8
The percent of change from 5/4 to 3/8 is a 70% decrease.
To find the percent of change, we need to determine the difference between the original amount and the new amount, and then divide that difference by the original amount and multiply by 100 to express the answer as a percentage.
Let's first convert both fractions to decimals:
5/4 = 1.25
3/8 = 0.375
Next, let's find the difference between the original amount (1.25) and the new amount (0.375):
1.25 - 0.375 = 0.875
Finally, let's divide the difference by the original amount and multiply by 100 to express the answer as a percentage:
(0.875 / 1.25) * 100 = 70
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For the following right triangle, a= 6, b=4. Find the length of c. I don't understand
Answer:
[tex]c=2\sqrt{13[/tex]
Step-by-step explanation:
In a right triangle, to find the hypotenuse (c) you use Pythagoras theorem. Which is [tex]a^2+b^2=c^2[/tex]. Once we plug in our variables we get [tex]6^2+4^2=c^2[/tex], then we solve.
[tex]36+16=c^2[/tex]
[tex]52=c^2[/tex]
[tex]\sqrt{c^2} =\sqrt{52}[/tex]
[tex]c=\sqrt{52}[/tex]
If we simplify...
[tex]c=2\sqrt{13}[/tex]