The property which is represented by equation "√12 + (-√12) = 0" is the (d) inverse property of addition.
In this equation, the square-root of 12 and its negative, -√12, are additive inverses of each other.
The inverse property states that for every element x, there exists an additive inverse -x, such that x + (-x) = 0.
In this case, √12 and -√12 are additive inverses since their sum is equal to zero. This property is a fundamental property of addition, that for any element, its additive inverse can be found, resulting in the identity element (zero) when added together.
Therefore, the correct option is (d).
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The given question is incomplete, the complete question is
Which property is illustrated by the equation √12 + (-√12) = 0?
(a) associative property of addition,
(b) commutative property of addition
(c) identity property of addition
(d) inverse property of addition
The volume ſin cubic feet) of a black cherry tree can be modeled by the equation ý = -51.7+03x_1 + 4.8x_2, where X_1, is the tree's height (in feet) and X_2, is the tree's dameter (in inches). Use the multiple regression equation to predict the y values for the values of the independent variables
(a) x_1 = 72, X_2 = 8.9
(b) x_1 = 65, x_2 = 10.6
(c) x_1 =81, x_2=16.4
(d) x_1 = 88, X_2 = 19.4
By using the multiple regression equation, the predicted y-values for the values of the given independent variables include the following:
(a) ý = 207.02.
(b) ý = 194.18.
(c) ý = 270.02.
(d) ý = 305.42.
What is a regression line?In Statistics and Mathematics, a regression line simply refers to a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line refers to a line which best fits a set of data.
Next, we would determine the predicted y-values for the values of the given independent variables as follows;
ý = -51.7+03x₁ + 4.8x₂
(a) x₁ = 72 and x₂ = 8.9
ý = -51.7+03(72) + 4.8(8.9)
ý = 207.02.
(b) x₁ = 65 and x₂ = 10.6
ý = -51.7+03(65) + 4.8(8.9)
ý = 194.18.
(c) x₁ = 81 and x₂ = 16.4
ý = -51.7+03(81) + 4.8(16.4)
ý = 270.02.
(d) x₁ = 88 and x₂ = 19.4
ý = -51.7+03(88) + 4.8(19.4)
ý = 305.42.
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Which system of equations has only one solution?
A
y=x+5 and y=-3x+6
B
y=x-2 and y=x+4
C
y= |x - 5| and y = 0.2x+1
D
y = x^2-1 and y=1.5x + 1
Answer:
A
Step-by-step explanation:
option A has two linear equations that intersect at one point
option B has two linear equations that are parallel and do not intersect
option C has one linear equation and an absolute value equation that intersect at two points
option D has one linear equation and a quadratic equation that intersect at two points
Write an equation for the plane that contains the points (0, -1,3), (2,2,1), and (-3, 2,5) in (a) Point- Normal Form (b) General form (C) Vector form (d) Parametric form
(a) Point-Normal Form: -11x - 8y - 9z + 45 = 0
(b) General Form: -11x - 8y - 9z + 45 = 0
(c) Vector Form: r = (0, -1, 3) + s(11, 8, 9) + t(0, 0, 1)
(d) Parametric Form: x = 11s, y = -1 + 8s, z = 3 + 9s + t
(a) Point-Normal Form:
To find the equation of a plane in point-normal form, we need a point on the plane and the normal vector to the plane. Let's choose the point (0, -1, 3) from the given points. To find the normal vector, we can take the cross product of two vectors formed by the points.
Vector 1: (2, 2, 1) - (0, -1, 3) = (2, 3, -2)
Vector 2: (-3, 2, 5) - (0, -1, 3) = (-3, 3, 2)
Normal Vector: N = (2, 3, -2) x (-3, 3, 2) = (-11, -8, -9)
Using the point (0, -1, 3) and the normal vector (-11, -8, -9), the equation of the plane in point-normal form is:
-11(x - 0) - 8(y + 1) - 9(z - 3) = 0
(b) General Form:
To write the equation of the plane in general form, we can rearrange the point-normal form equation:
-11x - 8y - 9z + 45 = 0
(c) Vector Form:
The vector form of the equation can be written as:
r = (0, -1, 3) + s(11, 8, 9) + t(0, 0, 1)
(d) Parametric Form:
The parametric form of the equation can be written as:
x = 0 + 11s + 0t
y = -1 + 8s + 0t
z = 3 + 9s + t
Note: In all forms, s and t represent scalar parameters.
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A genetic experiment involving peas yielded one sample offspring consisting of 412 green peas and 125 yellow peas. Use a 0.05 significance level to test the most under the same circumstances, 20% of offspring peas will be yellow. Identify the hypothesis, alternative hypothesis et statistics, P-value, conclusion about the null hypothesis and final conclusion that adds the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
What are the null and alternative hypotheses?
A H_o: p≠0.26 H_1:p=0.26
B H_o: p≠0.26 H_1:p>0.26
C H_o: p=0.20 H_1:p<0.26
D H_o: p=0.26 H_1:p>0.26
E H_o: p=0.26 H_1:p≠0.26
F H_o: p≠0.20 H_1:p<0.26
What is the test statistic?
z = _______
(Round local places as needed)
What is the P-value?
P-value = _________
1) the null and alterative hypotheses are - H_o: p=0.20 H_1:p<0.26 (option C)
2)
The test statistic is -2.17.The p -value is 0.0306.What is the explanation for these?
1) The null hypothesis is that the population proportion of yellow peas is equal to 20%. The alternative hypothesis is that the population proportion of yellow peas is less than 20%.
hence, H_o: p=0.20 H_1:p<0.26
2) The test statistic is calculated as follows -
z = (pa - p₀) / √(p₀(1-p₀)/ n)
Where -
pa is the sample proportion of yellow peas (0.25)
p₀ is the hypothesized proportion of yellow peas (0.20)
n is the sample size (537)
The test statistic is -2.17
p- value =P(Z < -2.17)
The p -value is 0.0306.
Since the p-value is less than the significance level of 0.05,we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the population proportion of yellow peas is less than 20%.
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The Lawrence family went out to dinner. The
total amount of dinner was $53.89, and they
decided to add an 18% tip. How much did the
waitress receive for a tip from the Lawrence
family?
Answer: 9.70$
Step-by-step explanation: The equation is 53.89 * 0.18 = 9.7002 but, If you round to the nearest hundred it is 9.70$. Hope this helped!!!
The amount of tip waitress get from the Lawrence family is $63.5902.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
The total amount of dinner was $53.89.
Tip= 18%
So, the tip amount will be
= 53.89 x 18/100
= 53.89 x 0.18
= 9.7002
And, the total amount to pay
= 53.89+ 9.7002
= $63.5902
Hence, the amount of tip waitress get is $63.5902.
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Seventh grade
> CC.5 Calculate mean absolute deviation YNM
In the data set below, what is the mean absolute deviation?
3
3
2
9
8
8
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation
Answer:2.8333
Step-by-step explanation:
Does anybody know both of these answere
Answer: I do not know
Answer:
A decrease by 14 percent
Step-by-step explanation:
50 - 43 is 7
14 percent of 50 is 7
write a equation of a line in slope-intercept form for slope: 5/6, y intercept: 8
is 0. overline 19 rational or irrational? Explain.
Answer:
19/99
Step-by-step explanation:
A trinomial with a leading coefficient of 333 and a constant term of -5−5 what is an equation
Given:
Leading coefficient of a trinomial = 3
Constant term = [tex]-5[/tex]
To find:
The equation of trinomial.
Solution:
If an expression contains three terms, then it is known as trinomial.
The general form of a trinomial which contains leading term and a constant is:
[tex]ax^2+bx+c[/tex]
Where, a,b,c are real non-zero numbers. Here, a is the leading coefficient and c is the constant.
Putting a=3 and c=-5, we get
[tex]3x^2+bx+(-5)[/tex]
[tex]3x^2+bx-5[/tex]
Therefore, the required trinomial is [tex]3x^2+bx-5[/tex], where b is a non zero real number.
Question 2 (1 point)
Which graph shows the solutions to 2x<6?
A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 12 kilograms. To test this claim, 50 pieces of each type of thread were tested under similar conditions. Type A thread had an average tensile strength of 56.7 kilograms with a standard deviation of 6.28 kilograms, while type B thread had an average tensile strength of 77.8 kilgorams with a standard deviation fo 5.61 kilograms. How large should the sampes be if the power of the test is to be .95 when the true difference between thread types A and B is 8 kilograms.
Answer : The required sample size is approximately 26 for each type of thread so that the power of the test is 0.95 when the true difference between thread types A and B is 8 kilograms.
Explanation :
Let's assume µ₁ to be the average tensile strength of thread A and µ₂ to be the average tensile strength of thread B. To test the claim that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 12 kilograms. That is,µ₁ - µ₂ ≥ 12 The null hypothesis H₀ is: µ₁ - µ₂ ≤ 12 and, the alternative hypothesis H₁ is: µ₁ - µ₂ > 12. The sample sizes for the two types of thread are n₁ = n₂ = 50. Given that thread A has an average tensile strength of 56.7 kilograms with a standard deviation of 6.28 kilograms, while thread B has an average tensile strength of 77.8 kilograms with a standard deviation of 5.61 kilograms. To determine the sample size required to achieve a power of 0.95 when the true difference between thread types A and B is 8 kilograms, we use the formula for the power of the test as follows: Power = P (Z > z₁-α - (zβ/√n))P (Z > z₁-α - (zβ/√n)) = 0.95. When the true difference between thread types A and B is 8 kilograms, that is,µ₁ - µ₂ = 8. The population variance of the two groups areσ₁² = 6.28² = 39.54σ₂² = 5.61² = 31.63 The pooled variance is given by:S² = [(n₁ - 1)S₁² + (n₂ - 1)S₂²] / (n₁ + n₂ - 2) = [(49)(39.54) + (49)(31.63)] / (50 + 50 - 2) = 70.585 n = (z₁-α + zβ)² * S² / δ² Where z₁-α = critical value at α level of significance = 1.65 for a one-tailed test at α = 0.05.zβ = critical value at β level of significance = 1.65 + 0.84 = 2.49 for 0.95 power of the test.δ = µ₁ - µ₂ = 8 Substituting the values, we get n = (1.65 + 2.49)² * 70.585 / 8²≈ 25.8
Hence, the required sample size is approximately 26 for each type of thread so that the power of the test is 0.95 when the true difference between thread types A and B is 8 kilograms.
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Pls help me I’m failing :(
A polygon has vertices at (-1,1), (1,1), (1,-1) & (-1,-1) what is the perimeter in units of the polygon
Answer:
8
Step-by-step explanation:
Which of the following is NOT true about logistic regression?
a. The predictor variables can be either continuous or categorical, or a combination of the two.
b. Logistic regression can be used for classification tasks.
c. Logistic regression assumes a symmetric probability distribution of Y
d. Certain coefficients can result in a negative output from the logistic regression equation
The statement which is not true about logistic regression is that logistic regression assumes a symmetric probability distribution of Y. Option C is the correct answer.
Logistic regression assumes a binary or binomial distribution for the response variable Y, representing two possible outcomes (e.g., 0 or 1). It models the relationship between predictor variables and the probability of a specific outcome using a logistic function. Logistic regression can handle predictor variables that are continuous, categorical, or a combination of both.
It is commonly used for classification tasks, where the goal is to predict the probability or class membership of an observation. The coefficients in logistic regression can have any value, including negative values, and they contribute to the log-odds ratio, which is then transformed into probabilities using the logistic function.
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A random variable is normally distributed with a mean of 40 and a standard deviation of 2.5. P(XS 43.75) is:
A random variable is normally distributed with a mean of 40 and a standard deviation of 2.5. P(XS 43.75) is 0.9332
Given: A random variable is normally distributed with a mean of 40 and a standard deviation of 2.5.
We have to find P(X<43.75).
We have to find the probability of getting a random variable below 43.75 using the normal distribution formula.
Z = (X - μ) / σ
Z = (43.75 - 40) / 2.5
Z = 1.5
The probability of a random variable being less than 43.75 is the same as the probability of a standard normal random variable being less than 1.5.
P(Z < 1.5) = 0.9332 (using the standard normal distribution table)
Thus, the P(X < 43.75) is approximately 0.9332 (to four decimal places).
Hence, the required probability is 0.9332.
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There are twenty books on a shelf. Ten of them are science books, two are social studies, seven are math, and one is reading. What is the probability of choosing a science book, replacing it and then choosing another science book?
Answer: 1/4
Step-by-step explanation: Probability is favorable outcomes/ all outcomes, to first choose a science book, the probability is 10/20, or one-half, and then to pick one again, is also 1/2, so you multiply them together to find the probability of both happening and you get 1/4!
2
A = 4.86 yd
b=
h= 1.8 yd
b= 2.7 yd
The answer is: 2.7yd
A group of researchers at UCLA are selecting existing multiple-item scales to measure depression. They found that in a previous study, "Depression Index of Diagnosis" had a Cronbach’s alpha of 0.93, "Adolescent’s Depression Scale" had a Cronbach’s alpha of 0.69. They decided to use "Depression Index of Diagnosis" because it has a higher _____ than the other and only when it is _________ it can be _________. Which is the answer A, B, C or D?
A. Reliability; valid; reliable
B. Validity; valid; reliable
C. Reliability; reliable; valid
D. Validity; reliable; valid
We can see here that option A. Reliability; valid; reliable completes the sentence.
Who is a researcher?A researcher is an individual who engages in the systematic investigation and study of a particular subject or topic to expand knowledge, gain insights, and contribute to the existing body of information in that field. Researchers can be found in various disciplines, such as science, social sciences, humanities, technology, and more.
Thus, it will be:
They decided to use "Depression Index of Diagnosis" because it has a higher reliability than the other and only when it is valid it can be reliable.
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no links, will give brainliest
The area of a parallelogram is base x height, or A = bh.
a) A = 6 x 10, so A = 60 cm²
b) A = 15 x 8, so A = 120 cm²
Plz help me out again thanks!!
Answer:
303.2 cubic inches
Step-by-step explanation:
20.6in × 3.8in ×2.9in + 3.7in × 7.1in × 2.9in
= answer
What is the surface area of the cylinder with height 5 mi and radius 2 mi? Round your
answer to the nearest thousandth.
Answer:
62.8319 mi²
Step-by-step explanation:
The volume formula here is V = (area of base)(height),
If we fill in the given measurements, we get:
V = π(2 mi)²(5 mi) = 62.8319 mi²
Prehistoric cave paintings were discovered in a cave in France. the paint contain 25% of the original Carbon-14. Use the exponential decay model for carbon-14, A=A0e^-0.000121t to estimate the age of the paintings
Answer:
The age of paintings is - 26,601 years .
Step-by-step explanation:
Lets calculate-
A= [tex]0.25 A[/tex]o
Therefore ,
[tex]A= A[/tex]o [tex]e^-^0^.^0^0^0^1^2^1^t[/tex]
[tex]ln0.25=-0.000121t[/tex]
[tex]-3.2188=-0.000121t[/tex]
[tex]t=\frac{-3.2188}{-0.000121}[/tex]
t= 26,601.65
Therefore , the age of paintings is 26,601 years old.
Lines need to be painted on the field at a football stadium. The painter estimated that one can of paint would last 11 yards. How many cans of paint will be needed to paint the length of the 100-yard field?
I've been stuck on this question for two days :,) the answers are A.8 B.10 C.12 D.14
Can someone please tell me the answer?
Answer:
area = pi*24^2/4 = 452 yd^2
so that means you will need 452/59 = 7.6 (or 8) gallons
HELP PLEASE!! WILL CROWN BRAINLIEST.....
On October 1, Gary’s bank balance was $130. During October, he made two
withdrawals and one deposit. At the end of the month, his bank balance was
$95. List two withdrawals and one deposit that would give this final balance.
Answer: i am not sure but thanks for the points have a good day
Step-by-step explanation:
What amount paid on September 19 is equivalent to $1,900 paid on the following December 1 if money can earn 5.9%? (Use 365 days a year. Do not round intermediate calculations and round your final answer to 2 decimal places.)
The amount paid on September 19 that is equivalent to $1,900 paid on December 1, with an interest rate of 5.9% compounded daily, is approximately $1,930.53.
How to calculate equivalent payment amount?To determine the amount paid on September 19 that is equivalent to $1,900 paid on December 1, we can use the concept of compound interest.
The formula to calculate compound interest is:
A = P(1 + r/n)^(nt)
Where:
A = final amount
P = principal amount (initial payment)
r = annual interest rate (in decimal form)
n = number of times interest is compounded per year
t = time in years
In this case, we need to find the equivalent amount on September 19. The time between September 19 and December 1 is approximately 74 days.
Using the formula, we can calculate the equivalent amount as follows:
A = 1900(1 + 0.059/365)^(365/74)
Calculating this expression will give us the equivalent amount on September 19. Let me calculate that for you.
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i need help on these 2 questions
HELP!!! 100 POINTS!!! Find the total surface area of a cylinder with a height of 7 cm and radius of 3 cm. Leave your answer in terms of π.
140π cm2
91π cm2
60π cm2
51π cm2
Answer:
60π cm2
Step-by-step explanation:
which answer choice correctly shows 0.3% as a decimal?
a.300
b.3
0c.0.03
d.0.003
d.0.003 choice correctly shows 0.3% as a decimal.
Here, we have,
given that,
the percent is: 0.3%
now, we know that,
percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage.
now, we get,
0.3%
=0.3 ÷ 100
=0.003
now, we know, 0.003 is a decimal.
so, we get,
d.0.003 choice correctly shows 0.3% as a decimal.
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Somebody please help me out. How do I find the surface area of a rectangular prism?
Answer:
A=2(wl+hl+hw)
Step-by-step explanation:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Answer:
Option (C) 198 cm² will be the answer.
Step-by-step explanation:
Surface area of rectangular prism=2(lb+bh+lh)
where l=length, b=breadth and h=height.
Here, the length is 9cm, breadth is 6cm and height is 3cm.
By applying the formula,
2{(9*6)+(6*3)+(9*3)}
2{54+18+27}
2*99
198cm²