Add (8x - 7) + (6x + 8). simplify your answer.

Based on the t-test assuming equal variances on the t-test equal worksheet, it is reasonable to assume that the variances are equal.

A t-test is a statistical method for evaluating the difference between two groups' means.

A t-test examines whether the two groups are different enough from each other to infer that the differences are not caused by chance, but rather by a specific factor, such as treatment or intervention.

The assumption of equal variances states that the two groups' populations have the same variance. The equality of variance assumption is critical because t-tests, ANOVA, regression, and other parametric analyses require it to perform valid statistical inferences.

However, if the variance of the two groups is significantly different, the p-value for the t-test is inaccurate, leading to incorrect conclusions. The Levene's test can be used to test the assumption of equal variances.

The t-test assuming equal variances on the t-test equal worksheet can assume that the variances are equal because it passes the Levene's test for equal variances.

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Answer:

first u have to find the  how many years,intrest then mutiply it first u have to multyply 560x7,00 then divide the years then simplyfy it

Step-by-step explanation:

brainly?

Answer:

80

Step-by-step explanation:

50+50=100-20=80

It will take approximately 427 months or 35 years and 7 months for a sum of Rs. 9400 to become Rs. 10951.8 at the rate of 3 2/3% per annum.

Let the principal amount be Rs. 9400, rate of interest be 3 2/3 % per annum and the final amount be Rs. 10951.8

To find: The time required to become Rs. 10951.8

Step 1: Calculation of Interest:

Earned interest = Final amount - Principal amount = Rs. 10951.8 - Rs. 9400 = Rs. 1551.8

Step 2: Calculation of Time:

Time = (100 * Earned interest) / (Principal * Rate * 12/100)

Here, Principal = Rs. 9400,Rate = 3 ,2/3% per annum = (11/3)% per annum,

Time = (100 * 1551.8) / (9400 * (11/3) * 12/100)

= 100 * 1551.8 / 9400 * 11/3 * 12/100

= 15518 / 3636

= 15518/3636*100/100

= 426.906 or 426.91

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Answer:

0.053 kg

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

its 3

Step-by-step explanation:

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The probability that the sample mean will be greater than 57.95 is 0.0495.

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. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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Answer:

a° = c°

Step-by-step explanation:

parallelogram's opposite angles are equal

mathworldwolfram

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question :

a. Carmen says that the sum of 11.2 and 19 will be irrational because 11.2 is not a rational number.

b. ella says that the product of 5 and 9 is an irrational number.

Describe the error made :

A) The product of 11.2 and 10 will give a rational output because 11.2 is rational, 11.2 is equivalent to 112 / 10, which shows it can be expressed in the form q/r.

B) The product of 5 and 9 cannot be irrational as both numbers multiplied, that is 5 and 9 are integers and are hence rational, the output (5 × 9) = 45 is also an integer and hence rational.

Arah will use \(\frac{5}{4}\) yards of wire to make 5 necklaces, which is less than the 3 yards of wire that she has, so she will have enough wire to make the necklaces.

The yard is an English unit of length in both the British imperial and US customary systems of measurement equaling 3 feet or 36 inches. Since 1959 it has been by international agreement standardized as exactly 0.9144 meter. A distance of 1,760 yards is equal to 1 mile.

Arah will need to make 5 necklaces, which means she will use                      5 × \(\frac{3}{4}\) = \(\frac{15}{4 }\) feet of wire.

To convert feet to yards, we divide by 3, so \(\frac{15}{4}\) feet is equal to \(\frac{15}{4}\) ÷ 3 = \(\frac{5}{4}\)yards.

Therefore, Arah will use \(\frac{5}{4}\) yards of wire to make 5 necklaces, which is less than the 3 yards of wire that she has, so she will have enough wire to make the necklaces.

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Answer:

Approximately 16.67 liters concentration of the 6% solution and approximately 13.33 liters of the 15% solution are required to make 30 liters of a 10% solution.

Step-by-step explanation:

Let's denote the amount of the 6% solution as x liters and the amount of the 15% solution as y liters. We need to find the values of x and y that satisfy the conditions.

Since we want to make 30 liters of a 10% solution, we can set up the following equations:

Equation 1: x + y = 30 (total volume equation)

Equation 2: (0.06x + 0.15y) / 30 = 0.10 (concentration equation)

From Equation 1, we have x = 30 - y. Substituting this into Equation 2, we get:

(0.06(30 - y) + 0.15y) / 30 = 0.10

Simplifying the equation gives:

(1.8 - 0.06y + 0.15y) / 30 = 0.10

1.8 + 0.09y = 3

0.09y = 1.2

y ≈ 13.33

Substituting y back into Equation 1, we find:

x + 13.33 = 30

x ≈ 16.67

Therefore, approximately 16.67 liters of the 6% solution and approximately 13.33 liters of the 15% solution are required to make 30 liters of a 10% solution.

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Answer:

the answer is (a)

Step-by-step explanation:

GFH is similar to JKH

The sample space for tossing a fair coin eight times is: There are 256 possible scenarios for tossing a coin flip eight times.

A probability event's sample space is indeed the collection of all possible outcomes.

HHHH HHHH

HHHH HHHT

HHHH HHTH

HHHH HHTT

HHHH HTHH

HHHH HTHT

HHHH HTTH

HHHH HTTT

HHHH THHH

HHHH THHT

HHHH THTH

HHHH THTT

HHHH TTHH

:

:

TTTT TTTT

Thus, the sample space for tossing a fair coin eight times is: There are 256 possible scenarios for tossing a coin flip eight times.

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\(\Large\texttt{Answer}\)

\(\bf{\cfrac{1}{2}}\)

\(\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}\)

\(\Large\texttt{Process}\)

Do you remember that we cannot add fractions when they have unlike denominators? We can onyl add fractions as long as they have the same denominator!

So here's the big idea: fractions must have the same denominator.

If we multiply the first fraction by 2, then both fractions will have the same denominator. *

* Why 2??

-  Because:

We need to find the least common multiple of 3 and 6, which is 6. Next, what should 3 be multiplied by to result in 6? That's right, 2.

Also, we can only multiply the denominator by 2 as long as we multiply the numerator by 2!

So that's why we multiply the whole fraction by 2

\(\bf{\cfrac{1\times2}{3\times2}+\cfrac{1}{6}}\)

Watch what happens

\(\bf{\cfrac{2}{6}+\cfrac{1}{6}}\)

Add the numerators

\(\bf{\cfrac{2+1}{6}}\)

\(\bf{\cfrac{3}{6}}\)

Simplifying the fractions

\(\bf{\cfrac{3\div3}{6\div3}}\)

\(\bf{\cfrac{1}{2}}\)

Hope that helped

Answer: 1 / 2

Step-by-step explanation:

Given information

\(\frac{1}{3} ~+~\frac{1}{6}\)

Convert the denominator (3, 6) into the same common denominator

Least Common Multiple (LCM) of 3 and 6 = 6

\(=\frac{1~*~2}{3~*~2} ~+~\frac{1}{6}\)

\(=\frac{2}{6} ~+~\frac{1}{6}\)

Combine two fractions

\(=\frac{2~+~1}{6}\)

\(=\frac{3}{6}\)

Simplify the fraction by dividing 3 on both numerator and denominator

\(=\frac{3~/~3}{6~/~3}\)

\(=\Large\boxed{\frac{1}{2} }\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:12 18

Step-by-step explanation:

6 x 2 = 12 6 x 3 = 18

Answer:

D. crosses the y-axis

\({ \tt{crosses \: y - axis \: at \: y = 5}}\)

Answer:

Its 22 pounds lost

Step-by-step explanation:

you subtract 198 from 207 and then subtract 185 from 198 then add both of the anwsers that you got

The possible value of n in the triangle given is, n < 3x+5

The triangle is a polygon with three side, vertex, and angles.

Given that, a triangle has side lengths measuring 2x + 2 ft, x + 3 ft,

and n ft.

We asked to find the expression that represents the possible values of n.

We know that,

The sides of a triangle rule assert that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

Therefore,

2x+2+x+3 = 3x+5

Thus, the possible value of n is,

n < 3x+5

Hence, the possible value of n in the triangle given is, n < 3x+5

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1. Average of the entire data set: 15.47 ounces

  Standard deviation of the entire data set: 1.51 ounces

2. American League:

  Average of drink sizes: 16.8 ounces

  Standard deviation of drink sizes: 2.26 ounces

1. Computing the average and standard deviation of the entire data set:

  Average = (14 + 18 + 20 + 16 + 16 + 12 + 14 + 16 + 14 + 16 + 16 + 16 + 14 + 32 + 16 + 20 + 12 + 16 + 20 + 12 + 16 + 16 + 24 + 16 + 16 + 14 + 14 + 12 + 14 + 20) / 30

          = 464 / 30

          ≈ 15.47 ounces

  Standard deviation = √[((14 - 15.47)² + (18 - 15.47)² + (20 - 15.47)² + ... + (14 - 15.47)²) / 30]

                    ≈ √(68.71 / 30)

                    ≈ √2.29

                    ≈ 1.51 ounces

2. Computing the average and standard deviation for the American League and the National League:

  American League:

  Average (AL) = (14 + 18 + 20 + 16 + 16 + 12 + 14 + 16 + 14 + 16 + 16 + 16 + 14 + 32 + 16) / 15

               = 252 / 15

               ≈ 16.8 ounces

  Standard deviation (AL) = √[((14 - 16.8)² + (18 - 16.8)² + (20 - 16.8)² + ... + (32 - 16.8)²) / 15]

                         ≈ √(76.8 / 15)

                         ≈ √5.12

                         ≈ 2.26 ounces

  National League:

  Average (NL) = (20 + 12 + 16 + 20 + 12 + 16 + 16 + 14 + 14 + 12 + 14 + 20) / 15

               = 200 / 15

               ≈ 13.33 ounces

  Standard deviation (NL) = √[((20 - 13.33)² + (12 - 13.33)² + (16 - 13.33)² + ... + (20 - 13.33)²) / 15]

                         ≈ √(40 / 15)

                         ≈ √2.67

                         ≈ 1.63 ounces

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The answer is a) The operator A is self-adjoint, but the operator H is not self-adjoint.

In order to determine if an operator is self-adjoint, we need to compare it with its adjoint. The adjoint of an operator A, denoted by A*, is the operator obtained by taking the conjugate transpose of A.

a) For operator A, we calculate its adjoint A*:

A* =  5   1   1   1

       -1  3   -1  -1

       1   1   5   1

       -1  -1  -1  3

To check if A is self-adjoint, we compare A with its adjoint A*. Since A = A*, operator A is self-adjoint.

b) For the self-adjoint operator A, the possible values of the measure of the associated observable can be obtained by finding the eigenvalues of A. The eigenvalues represent the possible outcomes of measurements corresponding to the observable associated with A.

c) The provided state Ψ = (10+5i, -4+3i, 2-5i, 10-3i) can be used to calculate the measurement outcomes. To obtain the possible values of the measure of the associated observable, we need to calculate the inner product of the state Ψ with its corresponding eigenvectors and then square the magnitudes.

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Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

The missing word or segment from the box that would correctly complete the sentence depends on the specific transformation applied to trapezoid ABCD.

In order to provide the missing word or segment, we need more information about the transformation applied to trapezoid ABCD to obtain trapezoid EFGH. Transformations can include translation, rotation, reflection, or dilation.

If the transformation is a translation, we can complete the sentence by saying "Trapezoid EFGH is the result of a translation of trapezoid ABCD."

If the transformation is a rotation, we can complete the sentence by saying "Trapezoid EFGH is the result of a rotation of trapezoid ABCD."

If the transformation is a reflection, we can complete the sentence by saying "Trapezoid EFGH is the result of a reflection of trapezoid ABCD."

If the transformation is a dilation, we can complete the sentence by saying "Trapezoid EFGH is the result of a dilation of trapezoid ABCD."

Without further information about the specific transformation, it is not possible to provide the exact missing word or segment to complete the sentence.

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We can write an equation of a line in slope intercept form when given a graph of a line by using the equation y = mx + c.

There are various forms in which an equation is present. Based on the given equation or graph values, we can determine the form we should use. The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

We first see the point where the line cuts the y-axis, then we calculate the slope of the line using the formula,

Slope= Δy/Δx

Once we get these values, we can substitute them in the equation for our final answer.

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Answer:

a.) ?

b.)15 miles

Step-by-step explanation:

b.) 2.5x6=15

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of sine and cosine will be always less than a unit.

In a unit circle, the radius of the circle represents the hypotenuse of the triangle. Since the hypotenuse is the largest side of the triangle, the ratio of the perpendicular to the hypotenuse and the base to the hypotenuse both will be less than the hypotenuse, therefore, 1. Hence, the value of sine and cosine will be always less than a unit.

In construction, we use trigonometry. For figuring areas of triangular shapes, similar to many concepts and phenomena in mathematics.

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Answer:

f'(x)=2

Step-by-step explanation:

\(if~y=ax^n\\where~a~is~constant.\\\frac{dy}{dx} =a nx^{n-1}\\f(x)=2x-1\\f'(x)=2*1x^{1-1}-0\\=2x^0\\=2*1\\=2\)

Based on the graph, the quadratic equation is y = (x - 2)² - 9.

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided about the vertex (2, -9) and the other points (5, 0), we can determine the value of "a" as follows:

y = a(x - h)² + k

0 = a(5 - 2)²  - 9

9 = 9a

a = 1

Therefore, the required quadratic function is given by:

y = a(x - h)² + k

y = (x - 2)² - 9

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The number of words he still need to write in one of his writing sessions would be = 95 minutes.

A graduate is an individual that has completed studies in an institution for a number of years and is being issued a certificate afterwards.

The number of words committed for a day by Nick = 500 words.

He writes 120 words = 30 mins

The total number of words remaining = 500 - 120 = 380 words.

Therefore the time it will take to finish the remaining 380 words in the day = X mins.

If 30 mins= 120 words

X mins = 380 words.

Make X mins the subject of formula;

X mins = 380× 30/120

X mins = 11,400/120

X mins= 95 minutes.

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