consider the following 8 numbers, where one labelled x is unknown. 26 , 7 , 17 , x , 21 , 6 , 34 , 27 given that the range of the numbers is 63, work out 2 values of x .

Answer:

c. 5

Step-by-step explanation:

1.5m = 1.5*100 cm = 150 cm

Divide 150 cm by 30 cm,

150/30 = 5

Dude I am so sorry but I'm just as confused as you are-

Answer:

36 in.

Step-by-step explanation:

the perimeter of the square is 4s and the perimeter of the triangle is 3(s+3).

since the perimeters are the same you can set them equal to each other and solve.

you should get s=9

substitute 9 into the square perimeter equation to get 36 in.

Answer:

Arc CB is equals to 160

Step-by-step explanation:

Add all of those numbers and subtracted by 360

Answer:

Step-by-step explanation:

Remark

Be very careful that you understand which arc you are asking for. Arc CB could be the arc made up of 53 + 79 + 68 = 200.

Somehow I get the idea that is not what you want. You want the arc that is not divided up so it is

Arc CB = 360 - Sum of the minor arcs

Arc CB = 360 --  200

Arc CB = 160

Answer:

horizontal shift 1 unit left

vertical shift  down two units

Domain of graph g is x≥ -1 or [-1,∞)

Range y ≥ -2 [-2,∞)

minimum (-1,-2)

2- h(x)=√x+3 is horizontally translation to the left and not the right it has to be √x-3.

3- f(1)= 4*1 = 4  y1

 f(4)= 4*4 =16    y2

step 2 : f(4)-f(1)/4-1 = y2-y1/x2-x1 = 16-4/4-1=12/3=4

the average rate of f(x)=√4x is 4

Answer:6777

Step-by-step explanation: 1+6776=6777

Differences caused by treatment effects contribute to the "between treatments variance" in an analysis of variance (ANOVA).

The ANOVA partitions the total variation in the data into two components: the variation between the treatment groups (due to the treatment effects) and the variation within each treatment group (due to random error and individual differences).

The between treatments variance measures the extent to which the means of the treatment groups differ from each other, and it is calculated by comparing the sample means to the grand mean (overall mean of all the observations). In contrast, the within-treatments variance measures the variability of the observations within each treatment group, and it is calculated by comparing the individual observations to their respective group means.

Therefore, the differences caused by treatment effects contribute to the between treatments variance, which is one of the two sources of variance in an ANOVA.

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You can take the reciprocal of the opportunity cost of producing Product A in terms of Product B to determine the cost of producing Product B in terms of Product A,

To determine the cost of producing Product B in terms of Product A, you can take the reciprocal of the opportunity cost of producing Product A in terms of Product B.

If the opportunity cost of producing 1 unit of Product A is 2 units of Product B, then the cost of producing 1 unit of Product B would be 1/2 unit of Product A.

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Answer:

It means to give a sentence explaining your answer and to put the right units like cm or m depending on the units you are using.

Answer:

Step-by-step explanation:

a. a^4 - 2ab^2 - 2ab^2 + 4b^4 = a^4 - 4ab^2 + 4b^2

b. 49x^2 - 14x + 1

c. 25a^2 - 20ab^4 + 4b^8

d. x^2 - 144

e. -16n^6 - 28n^3 + 28n^3 + 49 = -16n^6 + 49

As function f(x) is not completely right i assume it to be like f(x)= 10x-200.

Acc. to which the answer is  -350.

What is a function?

A function from a set X to a set Y allocates exactly one element of Y to each element of X.

Main Body:

f(x)= 10x-200

f(4)= 10*4-200

    = 40-200

    =-160

g(x)= 25\(x^{2}\)+90

g(2)= 25*(2)² +90

     = 25*4+90

     =190

So, f(4)-g(2) = -160-190

     = -350

Therefore the answer is -350.

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Using the scatterplot and summary statistics provided, we can't calculate the equation of the linear regression line without the covariance between x and y.

Based on the scatterplot and summary statistics provided, we can use linear regression to model the relationship between the x and y variables. The equation of the linear regression line is y = mx + b, where m is the slope of the line and b is the y-intercept.

To calculate the slope, we use the formula:

m = r * (s_y / s_x)

where r is the correlation coefficient between x and y, s_y is the standard deviation of y, and s_x is the standard deviation of x.

From the summary statistics provided, we know that:

- x = 4.2
- y = 77.3
- s_x = 1.87
- s_y = 11.16

To calculate the correlation coefficient, we can use a formula such as:

r = cov(x,y) / (s_x * s_y)

where cov(x,y) is the covariance between x and y. Without the covariance, we can't calculate r. If you could provide the covariance between x and y, I would be able to provide the equation for the linear regression line.

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False. Asymmetric encryption algorithm can be used to ensure the integrity of a file's contents.

Asymmetric encryption algorithms, such as RSA, are primarily used for data confidentiality and authentication, not for ensuring the integrity of a file's contents. They provide a way to securely exchange encrypted messages between parties and verify the authenticity of the sender.

To ensure the integrity of a file's contents, techniques such as cryptographic hash functions or digital signatures are used. Cryptographic hash functions generate a fixed-size hash value that uniquely represents the file's contents. Comparing the hash value before and after transmission can verify if the file has been tampered with. Digital signatures, on the other hand, use asymmetric encryption to provide a means of verifying the integrity and authenticity of a file by attaching a digital signature created with the sender's private key.

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Completing the equalities using the given options, we have:

\(a) sin^(-1)(1) = 90°\\b) cos^(-1)(1/2) = 60°\\c) tan^(-1)(√3) = 60°\)

a) \(sin^(-1)(1) = 90°\)

The inverse sine function, \(sin^(-1)(x)\)gives the angle whose sine is equal to x. In this case, we are looking for the angle whose sine is equal to 1. The angle that satisfies this condition is 90 degrees, so\(sin^(-1)(1) = 90°\).

b) \(cos^(-1)(1/2) = 60°\)

The inverse cosine function, cos^(-1)(x), gives the angle whose cosine is equal to x. Here, we are looking for the angle whose cosine is equal to 1/2. The angle that satisfies this condition is 60 degrees, so \(cos^(-1)(1/2)\)= 60°.

c) \(tan^(-1)(√3) = 60°\)

The inverse tangent function, tan^(-1)(x), gives the angle whose tangent is equal to x. In this case, we are looking for the angle whose tangent is equal to √3. The angle that satisfies this condition is 60 degrees, so tan^(-1)(√3) = 60°.

Completing the equalities using the given options, we have:

\(a) sin^(-1)(1) = 90° b) cos^(-1)(1/2) = 60°c) tan^(-1)(√3) = 60°\)

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a) The completed equalities are:

sin-¹(x) = 30°, sin-¹(x) = 45°, sin-¹(x) = 60°

b) The completed equalities are:

cos-¹(x) = 30°, cos-¹(x) = 45°, cos-¹(x) = 60°

c) The completed equalities are:

tan-¹(x) = 30°, tan-¹(x) = 45°, tan-¹(x) = 60°. C.

a) sin-¹(x) = 30°, 45°, 60°

The inverse sine function, sin-¹(x), gives the angle whose sine is equal to x.

Let's find the angles for each option given:

sin-¹(x) = 30°:

If sin-¹(x) = 30°, it means that sin(30°) = x.

The sine of 30° is 0.5, so x = 0.5.

sin-¹(x) = 45°:

If sin-¹(x) = 45°, it means that sin(45°) = x.
The sine of 45° is √2/2, so x = √2/2.

sin-¹(x) = 60°:

If sin-¹(x) = 60°, it means that sin(60°) = x.

The sine of 60° is √3/2, so x = √3/2.

The completed equalities are:

b) cos-¹(x) = 30°, 45°, 60°

The inverse cosine function, cos-¹(x), gives the angle whose cosine is equal to x.

Let's find the angles for each option given:

cos-¹(x) = 30°:

If cos-¹(x) = 30°, it means that cos(30°) = x.

The cosine of 30° is √3/2, so x = √3/2.

cos-¹(x) = 45°:

If cos-¹(x) = 45°, it means that cos(45°) = x.
The cosine of 45° is √2/2, so x = √2/2.

cos-¹(x) = 60°:

If cos-¹(x) = 60°, it means that cos(60°) = x.

The cosine of 60° is 0.5, so x = 0.5.

Therefore, the completed equalities are:

c) tan-¹(x) = 30°, 45°, 60°

The inverse tangent function, tan-¹(x), gives the angle whose tangent is equal to x.

Let's find the angles for each option given:

tan-¹(x) = 30°:

If tan-¹(x) = 30°, it means that tan(30°) = x.

The tangent of 30° is 1/√3, so x = 1/√3.

tan-¹(x) = 45°:

If tan-¹(x) = 45°, it means that tan(45°) = x.

The tangent of 45° is 1, so x = 1.

tan-¹(x) = 60°:

If tan-¹(x) = 60°, it means that tan(60°) = x.

The tangent of 60° is √3, so x = √3.

The completed equalities are:

tan-¹(x) = 30°, tan-¹(x) = 45°, tan-¹(x) = 60°. c)

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Answer:

Step-by-step explanation:

The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is  \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add   \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)

The sign after addition or subtraction will always be of the variable having more value.

\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)

On adding like terms with each other

⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)

⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)

Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

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Answer:

0.976 or 97.6%

Step-by-step explanation:

To calculate the frequency of the recessive allele, we need to use the information provided about the frequency of the dominant trait.

Let's assume that the particular dominant trait is determined by a single gene with two alleles: the dominant allele (A) and the recessive allele (a).

Given that 45 out of 1,000 babies are born with the dominant trait, we can infer that the remaining babies (1,000 - 45 = 955) do not have the dominant trait and can be considered as the recessive trait carriers.

The frequency of the recessive allele (q) can be calculated using the Hardy-Weinberg equation:

q = sqrt((Recessive individuals) / (Total individuals))

In this case, the total number of individuals is 1,000, and the number of recessive individuals is 955.

q = sqrt(955 / 1,000)

Using a calculator, we can find the value:

q ≈ 0.976

Therefore, the frequency of the recessive allele is approximately 0.976 or 97.6%.

Answer:

\(4^8\)

Step-by-step explanation:

Formula: \((a^b)^c = a^{bc}\)

Solve:

-Chetan K

Answer:

c=-2

Step-by-step explanation:

4(3+c)+c=c+4

distribute the 4

12+4c+c=c+4

subtract c on both sides

12+4c=4

subtract 12 on both sides

4c=-8

c=-2

Step-by-step explanation:

subtract c and distribute

12 + 4 c = 4

4c = - 8

solve for c

Approximately 97 cans must be sampled to achieve a margin of error of 0.01 ounce.

To estimate the number of cans that must be sampled for the margin of error to be equal to 0.01 ounce, we'll use the formula for the sample size in a confidence interval:

\(n = \left(\frac{Z \cdot \sigma}{E}\right)^2\)

where n is the sample size, Z is the Z-score for the desired confidence level (95% in this case), σ is the standard deviation (0.05 ounce), and E is the margin of error (0.01 ounce).

For a 95% confidence interval, the Z-score is approximately 1.96. Plugging the values into the formula, we get:

n = \(\(\left(\frac{{1.96 \cdot 0.05}}{{0.01}}\right)^2\)\)
n ≈ (9.8)²
n ≈ 96.04

Since we can't have a fraction of a can, we'll round up to the nearest whole number. Therefore, a sample size of approximately 97 cans is needed for the margin of error to be equal to 0.01 ounce with a 95% confidence interval.

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Answer: 12 (D)

Step-by-step explanation:

Hey there! If you have any questions, feel free to them in the comments below.

Step 1: Use this rule \(a / \frac{b}{c} = a * \frac{c}{b}.\)

2 * 6

Step 2: Simplify.

12

~I hope this helped you! :)~

Answer:

Step-by-step explanation:

here you go mate

step 1

2 ÷ 1/6  equation

step 2

(2)(6)  multiply the two numbers

answer

12

This additional information would allow for a more accurate analysis and the determination of (k_1) and (t_1) based on the system's characteristics.

To find (k_1) and (t_1) given \(y(t) = 1) for (t geq t_1) and (r(t) = k) (a constant), we need to analyze the system and its response. However, without specific information about the system or additional equations, it is not possible to provide exact values for (k_1) and (t_1).

In general, to satisfy (y(t) = 1) for (t geq t_1), the system should reach a steady-state response of 1. The value of (t_1) depends on the system dynamics and the time it takes to reach the steady state. The constant input (r(t) = k\) implies that the input is held constant at a value of \(k\).

To determine specific values for ((k_1) and (t_1), it is necessary to have more information about the system, such as its transfer function, differential equations, or additional constraints.

This additional information would allow for a more accurate analysis and the determination of (k_1) and (t_1) based on the system's characteristics.

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Step-by-step explanation:

2x+3(-7+3x)=12

x=3

y=-7+3x3

y=2

(x,y)=(3,2)

The factorized expression of 5z + 3y - 15x + 9 is 5(z - 3x) + 3(y + 3)

The expression is given as

5z+3y-15x+9

Rewrite the above expression properly

So, we have

5z + 3y - 15x + 9

Regroup the expression, as follows

So, we have:

5z + 3y - 15x + 9 = 5z - 15x + 3y + 9

Factorize the expression, as follows

So, we have:

5z + 3y - 15x + 9 = 5(z - 3x) + 3(y + 3)

Hence, the factorized expression of 5z + 3y - 15x + 9 is 5(z - 3x) + 3(y + 3)

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The number less than 3,000.when you divide me by 32, my remainder is 30. when you divide me by 58, my remainder is 44 is one of this {798, 1726, 2654}.

There exists a, b∈N such as

N= 30+32a=44+58b

Therefore,

16a-29b= 22-15=7

Let us notice that 5×29-9×16=1

Therefore, 35×29-63×16=7

Hence, a= -63 is a non-fundamental solution to our equation.

We can show that the other solution are of the form a=-63+29k, with k∈Z

Therefore, the first positive solutions are

a= -63+3×29= 24

N= 798

a= -63+4×29= 53

N= 1726

a= -63+5×29=82

N= -63+6×29= 111

N= 3582

Therefore, the number is one of {798, 1726, 2654}.

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To find the value of z for an 85% confidence level when you know σ, you would use z = 1.44.

To find the z-value for an 85% confidence level, you need to determine the corresponding percentile in the standard normal distribution. The standard normal distribution is a bell-shaped curve where the mean is 0 and the standard deviation is 1.

To find the z-value, you need to find the area under the curve that corresponds to the middle 85% of the distribution. In this case, the area is split into two tails with 7.5% in each tail (100% - 85% = 15%, divided by 2).

You can use a standard normal table or calculator to find the z-value that corresponds to the 92.5th percentile (85% + 7.5%), which is approximately 1.44. This is the value you would use as z in formula (9-1) for an 85% confidence level.

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define inverse operations

An inverse operation reverses the effect of the first operation.

Hence, Addition and subtraction are inverse operations.

Answer with a step-by-step explanation:

Let us write answers to the questions using the given Venn diagram

1) 4 students

2) 3 students

3) 3 students

4) Face book ( 7 students are using Face book while only 6 students are using the other social media platform)

- More explanation is attached to the picture -

Answer:

c.

Step-by-step explanation:

for this peoblem, an open dot would be used to indicate >. so in this, the arrow would be moving right to indicate a positive change in the number with the open dot to insight that it is greater than the original number.

The given propositions N, L, Q, and B are used to express statements in propositional logic, considering conditions and logical implications.



(a) The statement "New messages are not sent to the message buffer" can be represented as ¬B.

(b) The statement "If new messages are not queued then they are not sent to the message buffer" can be represented as Q → ¬B.

(c) The statement "If the system is functioning normally then the file system is not locked" can be represented as N → ¬L.

(d) The statement "If the file system is not locked, then (i) new messages are queued, (ii) new messages are sent to the message buffer, and (iii) the system is function normally" can be represented as ¬L → (Q ∧ B ∧ N).

(e) To determine values for L, Q, B, and N that make all the four propositions true, one possible assignment would be:
L = false, Q = true, B = true, N = true. This satisfies the given propositions, making all the statements in (a), (b), (c), and (d) true.

By representing the statements using propositional logic and assigning appropriate truth values to the propositions, we can analyze the logical relationships and conditions described by the given propositions.

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Answer:

1/3

Step-by-step explanation:

Simplify 4-3 = 1 and 4-1 =3 so itd be 1/3