Solve the equation.
51 = 3k

Answer:

no, because multiple x-values repeat

Step-by-step explanation:

Answer:

according to the ratio, if every other chocolates Jodi ate is 36.5 calories, then if she ate 5 chocolates then she would have eaten 157.5 calories. What varies means is some chocolates may not exactly be 36.5 calories.

Step-by-step explanation:

40% of Damien’s marbles are 6/5 or 1.2.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Damien has three marbles.

40% of Damien’s marbles are blue.

That means,

40% of 3 blue marbles.

So, using the percentage formula,

40% of 3,

= 40 x 3/100

= 120/100

= 12/10

= 6/5

= 1.2

Therefore, 1.2 marbles are blue.

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Answer:

1=1

Step-by-step explanation:

expand (cost - sint)²= cost² - 2costsint +sint²

(cost +sin t)² = cost² + 2sintcost+sint²

simplifying these = 2(cost²+sint²)= 2

2 will divide with 2 giving 1

çost²+sint²=1

substituting cost²= 1-sint² in above equation

1-sint²+sint²=1

giving us 1=1

Answer:

Step-by-step explanation:

7 students from the Junior class.

6 students from the Senior class.

4 new members are to be chosen.

Required: Find the number of ways 4 new members can be chosen if 2 or fewer must be from the senior class. So, Therefore, the correct answer is 560 ways.

Answer:

The total height of the climbing wall is 12 feet

Step-by-step explanation:

The given parameters are;

The star of the climbing wall = On the gym basement

The height of the gym's basement above the ground level = 9 feet

The height to which the wall extends above the ground level = 21 feet

The total height of climbing the wall = 21 - 9 = 12 feet

The start of the climbing wall is at the gym's basement level which is already 9 feet above the ground level, therefore, given the the height of the wall is 21 feet above ground level, with wall situated already at 9 feet above ground level which gives the total height of the climbing wall will be 21 - 9 feet or 12 feet.

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Smaller sample size results in smaller sampling variation of the OLS estimator for the slope coefficient in the sample regression model due to the fact that it reduces the amount of variability in the data. Smaller error variance also reduces sampling variation as it reduces the amount of overall variation in the data.

The sampling variation of the OLS estimator for the slope coefficient in the sample regression model is affected by a variety of factors. A smaller sample size will result in smaller sampling variation because it reduces the amount of variability in the data. This is due to the fact that a smaller sample size will contain less variation in the independent variable, and therefore the estimated slope coefficient will have less variation. Additionally, a smaller error variance will also reduce the sampling variation as it reduces the amount of overall variation in the data. Finally, smaller variation in the independent variable in the sample will also lead to smaller sampling variation of the OLS estimator. This is because the slope coefficient is estimated by minimizing the sum of squared residuals, which is a function of the variation in the independent variable. Thus, if the variation in the independent variable is reduced, the slope coefficient will have less variation. In conclusion, all three factors can lead to reduction in the sampling variation of the OLS estimator for the slope coefficient in the sample regression model.

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a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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Answer:

The researchers considered the before and after design of the study. They concluded that since the P-value was greater than the significance level, they had to fail to reject the null hypothesis.

Step-by-step explanation

test says is correct

Answer:

Right Angle- an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.

Straight Angle-A straight angle is 180 degrees. This is a straight angle.

Step-by-step explanation:

180 is a straight angle and 90 is a Right angle

Answer:

18.58

Step-by-step explanation:

Answer:

18.5

Step-by-step explanation:

just took the test

There are infinitely many sοlutiοns.

An equatiοn is said tο be linear if the maximum pοwer οf the variable is cοnsistently 1. Anοther name fοr it is a οne-degree equatiοn. A linear equatiοn with οne variable has the cοnventiοnal fοrm Ax + B = 0. In this case, the variables x and A are variables, while B is a cοnstant. A linear equatiοn with twο variables has the cοnventiοnal fοrm Ax + By = C. Here, the variables x and y, the cοefficients A and B, and the cοnstant C are all present.

Here, we have

Given:

The system is 2x + y = 1 and 4x + 2y = 2.

Sοlutiοns tο a system are the intersectiοn pοints.

Since these twο lines are the same line they intersect everywhere. There are infinitely many sοlutiοns.

Hence, there are infinitely many sοlutiοns.

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Answer:

68

Step-by-step explanation:

Answer: 68

Step-by-step explanation:

(5+6)(7)−32

=(11)(7)−32

=77−32

=77−9

= 68

Answer:

The length of side x = 4 units.

Step-by-step explanation:

Given

The angle Ф is 30°.

The opposite side of angle 30°  is 2.

To determine

The length of hypotenuse x = ?

Using the trigonometric ratio

sin Ф = opposite / hypotenuse

substitute Ф = 30°, hypotenuse = x and opposite = 2

sin 30° = 2 / x

1/2 = 2/x           ∵ sin 30° = 1/2

x = 2 × 2

x = 4 units

Therefore, the length of side x = 4 units.

The expressions are simplified to give;

7. 4n³(3n² + 4)

8. -3x(3x² - 4)

9. 5(k² - 8k + 2)

10. -10(6 + 6n² + 5n³)

11. 3(6n³ - 4n - 7)

12. 9(7n³ + 9n + 2)

Algebraic expressions are defined as mathematical expressions that are composed of variables, coefficients, terms, factors and constants.

These algebraic expressions are also made up of arithmetic operations, such as;

To factorize the expressions, we have;

12n⁵ + 16n³

Find the common term

4n³(3n² + 4)

-9x³ - 12x

find the common term

-3x(3x² - 4)

5k² - 40k + 10

find the common terms

5(k² - 8k + 2)

-60 + 60n² + 50n³

find the common term

-10(6 + 6n² + 5n³)

18n³ -12n - 21

find the common term

3(6n³ - 4n - 7)

63n³ + 81n + 18

Find the common term

9(7n³ + 9n + 2)

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The sum of 5x and x as given in the question is 6x

Given the following expression

5x + x

We are to take the sum and this is given as:

5x + x  = (x+x+x+x+x) + x

5x + x = 6x

Hence the sum of 5x and x as given in the question is 6x

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Answer:

One of the principals of water is that it is fluid at room temperature

Step-by-step explanation:

\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{r}-\stackrel{y1}{9}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{(-1)}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{ -3 }\implies \cfrac{r-9}{4+1}=-3\implies \cfrac{r-9}{5}=-3 \\\\\\ r-9=-15\implies \boxed{r=-6}\)

The standard matrix for the linear transformation T: R² → R2 that reflects points about the origin is as follows:Standard matrix for the linear transformationThe standard matrix of a linear transformation is found by applying the transformation to the standard basis vectors in the domain and then writing the resulting vectors as columns of the matrix.Suppose we apply the reflection about the origin transformation T to the standard basis vectors e1 = (1,0) and e2 = (0,1). Let T(e1) be the reflection of e1 about the origin and let T(e2) be the reflection of e2 about the origin.T(e1) will be the vector obtained by reflecting e1 about the origin, so it will be equal to -e1 = (-1,0).T(e2) will be the vector obtained by reflecting e2 about the origin, so it will be equal to -e2 = (0,-1).Hence the standard matrix for the linear transformation T: R² → R2 that reflects points about the origin is given by:(-1 0) | (0 -1)

The standard matrix for the linear transformation T: R² → R² that reflects points about the origin is as follow

Consider a transformation of the R² plane that takes any point

(x, y) in R² and reflects it across the x-axis. If the point (x, y) is above the x-axis, its reflection will be below the x-axis, and vice versa.Likewise, if the point (x, y) is to the right of the y-axis, its reflection will be to the left of the y-axis, and vice versa.

A linear transformation is a function from one vector space to another that preserves addition and scalar multiplication. In order to find the standard matrix of the linear transformation, you must first determine where the basis vectors are mapped under the transformation.

The summary is that the standard matrix of the linear transformation T: R² → R² that reflects points about the origin is |−1 0 | |0 −1 |.

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Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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It is "false" that a cylinder is a polyhedron where two faces are parallel and congruent and the remaining faces are parallelograms. Its is a prism.

A polyhedron of two polygonal faces in parallel planes & parallelograms on the other faces is called prism.

Some features regarding the prism are-

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Answer:

tengo

Step-by-step explanation:

Answer:

your answer is No tengo lapices. YO tengo que comprar (buy) unos.

Step-by-step explanation:your answer is tengo

Answer:           number 2

cuz its the only one that makes sense

Answer: 56 inches

Step-by-step explanation:

a. 60+58+64+72=254 (Add the average of his family without including him)

a. 62x5=310 (The average times 5, cause there are 5 of them will get you the total number of inches)

b. 310-254=56 (Subtract the total number of the 5 of them with the 4 of them to find Bill's height)

you can check your answer by adding all their heights.

Answer:

\(\huge\boxed{\sf x = 85}\)

Step-by-step explanation:

0.2x - 6 = 11

0.2x = 11 + 6

0.2x = 17

x = 17/0.2

\(\rule[225]{225}{2}\)

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \purple {━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

hope it helps!

Answer:

d. g36

Step-by-step explanation:

The solution is, g^36 power is equivalent to the expression (g-12)-3.

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

given expression is,

g^(-12)(-3)

=g^(12*3)

=g^36

Hence, The solution is, g^36 power is equivalent to the expression (g-12)-3.

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(Hey, angles rock!)

Answer:

45 + 60 = 105

Step-by-step explanation:

ABC consists of two angles, angle ABD and angle DBC. Therefore, the sum of the measures of angles ABD and DBC is the measure of ABC.

45 + 60 = 105