The statement "twice a number y increased by seven " can be expressed by the algebraic expression is 2y+7.
A mathematical construct called an algebraic expression is made up of integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).
Let us take an expression 5a²+2c+7 is an algebraic expression. Where
a,c are variables 5 and 2 are coefficients and 7 is the constant.
The given statement is "Twice a number y increased by seven". let us break it into smaller parts:
Twice a number y is represented by 2y , then it is increased by 7 . So the required expression comes out as 2y+7.
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spearman's rho describes a linear relationship between two quantitative variables. group of answer choices true false
The given statement "spearman's rho describes a linear relationship between two quantitative variables." is False, because it is a correlation coefficient that measures the strength of a monotonic relationship.
In particular, Spearman's rho is used to measure the degree of association between two variables when the relationship between them is not linear. It works by ranking the values of the two variables and then computing the correlation between the ranks.
If the variables have a monotonic relationship, the Spearman's rho will be close to 1 or -1, depending on the direction of the relationship. If there is no relationship, the Spearman's rho will be close to 0.
For example, consider a dataset where the number of hours studied and the grade obtained in an exam are recorded for a group of students.
If the relationship between the two variables is non-linear, such as a U-shaped or inverted U-shaped curve, then the Spearman's rho would be more appropriate than the Pearson correlation coefficient, which measures the strength of a linear relationship.
In summary, Spearman's rho is used to measure the strength of a monotonic relationship between two variables, which can be non-linear.
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The diagram shows a square.
(6x - 1) cm
Find the length of the side of the square.
Your final answer must say, side = ...
... cm
1
+
(4x + 6) cm
I
The length of the square in the given diagram is calculated as: 20 cm.
What is a Square?A square is a shape that has 4 equal sides of the same length.
In the diagram given, the square has the following expressions representing two sides:
(6x - 1) cm
(4x + 6) cm
Since both sides are equal sides of a square, therefore:
6x - 1 = 4x + 6
6x - 4x = 1 + 6
2x = 7
x = 7/2
x = 3.5
Side of the square = 6x - 1
Plug in the value of x
Side of the square = 6(3.5) - 1 = 20 cm
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What is 4x+3>15 inequalities
Answer: x>3
Step-by-step explanation: 4x+3-3>15-3
4x>12
4x/4>12/4
=x>3
Suppose you are going to conduct a two tail test concerning the population mean. Suppose that you do not know what the population standard deviation is and that you have a sample of 55 observations. If you are going to conduct this test at the. 01 level of significance what is the critical value? be sure to enter a positive number and answer to four decimal places.
The critical value for this two-tailed test is 2.6759.
To conduct a two-tailed test at the 0.01 level of significance with a sample of 55 observations, we use the t-distribution because the population standard deviation is unknown. The critical value is determined by dividing the significance level (0.01) by 2 to account for both tails of the distribution. This gives an alpha level of 0.005. Using the degrees of freedom for a sample of size 55 (54 degrees of freedom), we find the corresponding critical value from a t-distribution table or calculator. In this case, the critical value is approximately 2.6759 when rounded to four decimal places.Since the population standard deviation is unknown, we'll use the t-distribution instead of the standard normal distribution. The degrees of freedom for a sample of size 55 is 54. Using a t-distribution table or a statistical calculator, the critical value for an alpha level of 0.005 and 54 degrees of freedom is approximately 2.6759 (rounded to four decimal places).
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What is the answer to 49/4018
Answer:
1/82
Step-by-step explanation
Divide both the numerator and denominator by 49 to get the simplified version.
\(\frac{49}{4018}\frac{/49 }{/49} \frac{1}{82}\)
Hope this helps!
PLS help ASAP I DONT have time to answer this, it also detects if it’s right or wrong.
Answer:
48
Step-by-step explanation:
First of all find the scale.
36/9=4
So now you do 4 x 12
48
a measure computed from the entire population is called __________.
A measure computed from the entire population is called parameter.
A limit is a parameter. A parameter is a constant in an equation in mathematics, however today, any system can include parameters that control how it functions. You can provide guidelines for your class discussion.
Greek words para-, which means "beside," and metron, which means "measure," are combined to form the term parameter. Gravity and time are two boundaries that the natural world establishes. The law establishes the boundaries of appropriate conduct in court. While parameters and perimeters are similar, a parameter can contain or define something that is either physically present or abstractly defined, whereas a perimeter is the physical space that surrounds an entity.
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A quadrilateral with vertices at A(4, -4), B(4, -16), C(12, -16), and D(12,-4) has been dilated with a center at the
origin. The image of D, point D', has coordinates (36, -12). What is the scale factor of the dilation? 1/9. 1/3
3
9
Answer:
scale factor = 3
Step-by-step explanation:
since the origin is the centre of dilatation then the scale factor is the ratio of corresponding coordinates, image to original.
given D (12, - 4 ) and D' (36, - 12 ) , then
scale factor = \(\frac{36}{12}\) = \(\frac{-12}{-4}\) = 3
Es el valor de la incógnita en la siguiente igualdad: x/Sen30°= 8/Sen45°
Respuesta:
x = 5.656854249
Explicación paso a paso:
[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]
x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]
x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]
x = 5.656854249
Ethan is watering his plants. He starts with a watering can filled with 32 ounces of water, and he pours 3.5 ounces onto each plant. When Ethan finishes watering his plants, he has 14.5 ounces of water left. How many plants does he have? Write and solve an equation to find the answer.
The number of plants Ethan has are 5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the number of plants Ethan has.
Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.
If he starts with 32 ounces of water and ends up with 14.5 ounces
Total of 32 - 14.5 = 17.5 ounces of water.
As given the amount of water used is equal to the amount of water per plant times the number of plants:
3.5x = 17.5
Divide both sides by 3.5
x=5
Hence, , Ethan has 5 plants.
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Solve for the variable
Answer:
1.5
Step-by-step explanation:
Answer:
2/3 or 0.6 equals x
Step-by-step explanation:
The probability that Dan wins in a raffle is given by the expression p. Write down an expression for the probability that Dan does not win
If the probability of Dan winning is 'p', then the probability that he does not win is ' 1-p' .
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. The probability of a event happening and the same event not happening is 1 or 100%.
Let Dan winning in a raffle is Event A.
Let Dan not winning in a raffle is Event B.
Probability of Dan winning + Probability of not winning = 1
p + P(B) = 1
P(B) = 1 - p
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What is a high plowback ratio?
Step-by-step explanation:
Indicates management's belief in high growth periods and favorable business economic conditions.
What is the length of the unlabeled side?
Answer:
Step-by-step explanation:
What is the length of the unlabeled side?
The formula of Pythagoras theorem is expressed as, Hypotenuse² = Base²+ Height². This is also written as, c² = a² + b²; where 'c' is the hypotenuse and 'a' and 'b' are the two legs of the right-angled triangle.
√(13²-12²) =
√(169 - 144) =
√25 =
5
what is 1+1-5/34x + 14y+7
Answer:
\( - \frac{5x}{34} + 14y + 9\)
Step-by-step explanation:
Just making sure. If the way the equation is written is
\(1 + 1 - \frac{5}{34} x + 14y + 7\)
then yeah, that's the answer. If it's formatted differently, send a comment so that I could give you the proper answer.
MARK YOU BRAINLIST It takes Pervis 20 minutes to ride his bicycle 1.5 miles to school each day. How far can Pervis ride in one hour if he continues to travel at this speed?
A. 4.5 miles
B. 7.50 miles
C. 0.4 miles
D. 5.625 miles
Answer:
4.5 miles
Step-by-step explanation:
so basically 1 hour equals 60 minutes so we divide 60 by 20 because he can ride 1.5 miles in 20 minutes. so 60/20 is 3 and now all we do is multiply 1.5 by 3 which gives us 4.5.
a triangular fence is being built to surround a garden. if two of the side lengths must be 4 feet and 12 feet, which inequality could be solved to determine the minimum length of the third side?
The minimum length of the third side must be greater than 16 feet.
The minimum length of the third side can be determined using the Triangle inequality theorem. This theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. The Triangle Inequality Theorem can be expressed by the following inequality: a + b > c, where a, b, and c are the lengths of the three sides of the triangle. In this case, we have two sides of 4 feet and 12 feet, so the inequality can be written as 4 + 12 > c, which simplifies to 16 > c. Solving for c yields c > 16, which means that the minimum length of the third side must be greater than 16 feet.
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Solve the two-step equation. 0. 45x 0. 33 = -0. 66 What is the solution? x = -2. 2 x = -1. 4 x = 1. 4 x = 2. 2.
Solution is x = -2.2
Linear systemIt is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
SimplificationSimplification is to make something easier to do or understand and to make something less complicated.
Given
The linear equation 0.45x + 0.33 = -0.66
To findThe value of x.
How to find the value of x?The linear equation 0.45x + 0.33 = -0.66 is given.
On simplifying,
0.45x + 0.33 = -0.66
0.45x = -0.66 - 0.33
0.45x = -0.99
x = -2.2
Hence, the value of x is -2.2.
Solution is x = -2.2
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Solve the system of equations
2x−9y=14
x=−6y+7
x, equals ?
y, equals ?
Answer:
x = 7
y = 0
Step-by-step explanation:
use substitution method:
2(-6y + 7) - 9y = 14
-12y + 14 - 9y = 14
-21y = 0
y = 0
x = -6(0) + 7
x = 7
Step-by-step explanation:
Hey there!
Given eqautions are;
2x-9y= 14……………(i)
x= -6y+7………………(ii)
~ Putting the value of"x" from eqaution (ii) in eqaution (i).
2(-6y+7) - 9y = 14
~ Simplify it.
-12y +14 -9y= 14
21y = 0
y =0/21
Therefore, y= 0.
Now,
~ Put value of "x" on eqaution (ii).
X = -6(0)+7
x= (0)+7
x= 7
Therefore, x= 7.
Check:
Putting the value of X and y in eqaution (ii)
7= -6(0)+7
7=7(True).
x= 7
y= 0
Hope it helps....
3|x + 4| + 5 = −13. How do I solve this?
Plzz help me with thsi quistion
Answer:
98 ft
Step-by-step explanation:
14x7
=98 ft
Answer:
98 ft
Step-by-step explanation:
Choose values for horizontal and vertical translation to move triangle ABC. Use the tool to translate the figure in both the x and y directions. y Horizontal Translation 4 C 2 Vertical Translation Which statements are true about the image? The triangle flipped upside down. The sides stayed the same length. The angles stayed the same size. The triangle completed a quarter turn. -2. Reset -2 A B -48.
Answer:The sides stayed the same length
The angles stayed the same size
Step-by-step explanation:
Identify the translations.
The orange triangle, A, is the pre-image.
The pre-image moved
✔ 5
units horizontally to form the purple triangle, B.
The pre-image moved
✔ 4
units vertically to form the green triangle, C.
perry has 3 dogs.every day he feeds them a total of 3/4 of a can of food,where each dog is fed the same amount of food.How many cans of food does perry give to each dog
Scrapper Elevator Company has 20 sales representatives who sell its product throughout the United States and Canada. The number of units sold last month by each representative is listed below. Assume these sales figures to be the population values. 2 3 2 3 3 4 2 4 3 2 2 7 3 4 5 3 3 3 3 5 Required: a. Compute the population mean. (Round your answer to 1 decimal place.) b. Compute the standard deviation. (Round your answer to 2 decimal places.) c. If you were able to list all possible samples of size five from this population of 20, how would the sample means be distributed
Using the concepts of mean and standard deviation, and the central limit theorem, it is found that:
a. The mean is of: 3.3
b. The standard deviation is of: 1.23.
c. They would have a mean of 3.3 and a standard deviation of 0.55.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.For this problem, the mean is given by:
M = (2 + 3 + 2 + 3 + 3 + 4 + 2 + 4 + 3 + 2 + 2 + 7 + 3 + 4 + 5 + 3 + 3 + 3 + 3 + 5)/20 = 3.3
The standard deviation is:
\(S = \sqrt{\frac{(2 - 3.3)^2 + (3 - 3.3)^2 + \cdots + (3 - 3.3)^2 + (5 - 3.3)^2}{20}} = 1.23\)
What does the Central Limit Theorem states?It states that for distribution of sample means of size n:
The mean remains constant.The standard deviation is of S/sqrt(n).Hence, since 1.23/sqrt(5) = 0.55, the sample means would have a mean of 3.3 and a standard deviation of 0.55.
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Question 2 For the following matrix Then [340]
A= [-127]
[-2-44]
(Please use a comma between two numbers.)
(a) The minors M13, M23, M33= 8,-4,10
(b)The cofactors C13, C23,C33= 8,4,10 (c) The determinant det(A) = 68
For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.
To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.
To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.
Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.
Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.
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relationships between triangles and circles
Triangles can be inscribed in and circumscribed around circles, and circles can be inscribed in and circumscribed around triangles.
How triangles and circles relate?There are several relationships between triangles and circles, including:
Incenter: The incenter of a triangle is the center of the circle that is tangent to all three sides of the triangle.
Circumcenter: The circumcenter of a triangle is the center of the circle that passes through all three vertices of the triangle.
Orthocenter: The orthocenter of a triangle is the point where the altitudes of the triangle intersect. The circumcircle of a triangle passes through the orthocenter.
Inscribed angle: An inscribed angle of a circle is an angle whose vertex lies on the circle, and whose sides are chords of the circle. The measure of an inscribed angle is half the measure of the intercepted arc.
Tangent: A tangent to a circle is a line that intersects the circle at exactly one point. If a line is tangent to a circle at a point, then it is perpendicular to the radius at that point.
Similarity: If two triangles are inscribed in the same circle and share a common chord as a side, then they are similar.
These relationships have important applications in geometry and trigonometry, and can be used to solve problems involving triangles and circles.
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what is the cost of installing a fence around a rectangular shaped lot if the cost of the fence is $3.25 per linear foot and the lot is 80 ft. wide and 120 ft. deep?
The cost of installing a fence around an 80 ft. wide and 120 ft. deep rectangular lot, with the fence priced at $3.25 per linear foot, will be $1,300.
To determine the cost of installing a fence around a rectangular lot, you need to calculate the total length of the fence required and then multiply that by the cost per linear foot. The given dimensions of the lot are 80 feet wide and 120 feet deep.
First, calculate the perimeter of the rectangular lot. The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length (or depth) and W is the width. In this case, the perimeter is P = 2(120) + 2(80) = 240 + 160 = 400 feet.
Next, multiply the total length of the fence by the cost per linear foot, which is $3.25. So, the cost of installing the fence is 400 feet × $3.25 per linear foot = $1,300.
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A figure is composed of four squares of the same size and four triangles of the same size. Each square has a side length of 5.9 cm, as shown 5.9 cm 5.9 cm Which of these is closest to the area, in square centimeters, of the figure? a. 71 b. 94 С. 209 d. 278
Answer:
c
Step-by-step explanation:
A rectangle has an area of 150 square units. The width of the rectangle is 10 units and its
length is x units longer than its width.
Solve the equation 150 = 10(x + 10) to find the value of x.
Which expression is equivalent to 5/6−1/4+(−2/3)
Answer:
the last one
Step-by-step explanation: