Hurry please What is the equation of this line
A. Y=1/4x-6
B. Y=6x-4
C. Y=6x-1/4
D. Y=4x-6

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0

From the question, we have the following parameters that can be used in our computation:

(-3)0

The above statement is a product expression that multiplies the values of -3 and 0

Also, there is no need to check if there are like terms in the expression or not

This is  because we are multiplying the factors

So, we have

(-3)0 = 0

This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0

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We are given the following inequalities:

First, we will solve for inequality 1. To do that we will add 5 to both sides:

Solving the operations:

Now we divide both sides by 3:

Solving the operations:

Now we solve for "x" in inequality (2). To do this we will add 1 to both sides:

Solving the operations:

Now we divide both sides by 2:

Solving the operations:

Therefore, the solution to the system is:

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

  c = -41/16

Step-by-step explanation:

You want to solve the 2-step linear equation -7/3=2/3c-5/8.

The two steps for such an equation are ...

Step 1 - add the opposite of the constant on the side with the variable term.

  -7/3 +5/8 = 2/3c -5/8 +5/8

  -41/24 = 2/3c . . . . . . . . . . . . . simplify

Step 2 - multiply by the inverse of the coefficient of the variable.

  (-41/24)(3/2) = (2/3c)(3/2)

  -41/16 = c

Some folks like to solve equations like this by eliminating fractions as a first step. Here, that can be accomplished by multiplying the equation by 24 (the least common denominator).

  (-7/3)(24) = (2/3c)(24) -(5/8)(24) . . . multiply the equation by 24

  -56 = 16c -15 . . . . . . . simplify; fractions are gone

  -41 = 16c . . . . . . . . . step 1, add the opposite of the unwanted constant

  -41/16 = c . . . . . . . . step 2, divide by the coefficient of the variable

Answer:

Assuming that 126 is expressed in miles (mi), the answer is 72 miles per hour.

Step-by-step explanation:

Speed is calculated using the following formula: distance/time.

Knowing that he travels 126 miles in 1 hour and 45 minutes, we obtain 126 miles divided by 1.75 = 72 mph.

Let x/[(b-c)(b+c-2a)] = y/[(c-a)(c+a-2b)] = z/[(a-b)(a+b-2c)] = k

Now,

x/[(b-c)(b+c-2a)] = k

⇛x/[(b-c)(b+c-2a)] = k/1

By doing cross multiplication, we get

⇛1(x) = k(b-c)(b+c-2a)

⇛x = k(b²-c²-2a(b-c)

⇛x = k(b²-c²+2ac-2ab) --------Eqⁿ(1)

Also,

y/[(c-a)(c+a-2b)] = k

⇛y/[(c-a)(c+a-2b)] = k/1

⇛1(y) = k(c-a)(c+a-2b)]

⇛y = k(c²-a²-2bc+2ba) --------Eqⁿ(2)

Again,

z/[(a-b)(a+b-2c)] = k

⇛z/[(a-b)(a+b-2c)] = k/1

⇛1(z) = k(a-b)(a+b-2c)

⇛z = k(a-b)(a+b-2c)

⇛z = k(a²-b²-2ca+2bc) --------Eqⁿ(3)

Now,

Adding equation (1), (2) and (3), we get

x+y+z

⇛k(b²-c²+2ac-2ab + c²-a²-2bc+2ba + a²-b²-2ca+2bc)

⇛k × 0

⇛0.

Answer:-The value of x+y+z is 0.

Answer:

192in

Step-by-step explanation:

8*2=16

16*12=192in

Circle A's size is 2.64 times smaller than Circle D's area.

The radius of Circle B is 8 + 2 = 10 in.

The radius of Circle C is 10 + 5 = 15 in.

The radius of Circle D is 15 - 2 = 13 in.

The area of a circle is given by the formula A = πr², where r is the radius.

The area of Circle A is A = π(8²) = 64π square inches.

The area of Circle B is A = π(10²) = 100π square inches.

The area of Circle C is A = π(15²) = 225π square inches.

The area of Circle D is A = π(13²) = 169π square inches.

To find how many times greater the area of Circle D is than the area of Circle A, we divide the area of Circle D by the area of Circle A:

169π / 64π = 2.64

Therefore, the area of Circle D is 2.64 times greater than the area of Circle A.

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Step-by-step explanation:

\(\angle{FJG} + \angle{GJH} = \angle{FJH}\)

\(\Rightarrow (6x - 15) + (x + 8) = 168°\)

\(\Rightarrow 7x - 7 = 168\)

and this gives us

\(7x = 175°\) or \(x = 25°.\)

The surface area of the vase is 168.4 square inches.

What is a cylinder?

A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.

The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.

The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:

B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.

The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:

P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.

Now we can use the formula SA = B + Ph to find the surface area of the vase:

SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.

Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.

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The two triangles are congruent since they have equal angles and equal sides.

Congruent triangles are two triangles that have exactly the same size and shape.

In other words we can say that they have the same angles and the same side lengths.

So when two triangles are congruent, all of their corresponding parts including the angles and sides are equal.

For the given triangles

The missing value of angle C = 180 - (18 + 110) = 52⁰

The missing value of angle F = 180 - (18 + 52) = 110⁰

So it is obvious that the two triangles are congruent since they have equal angles and equal sides.

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Answer:

yd^2

Step-by-step explanation:

I took the test :)

The farmer calculate surface area in unit of \(yd^{2}\)

The surface area of any given object is the area or region occupied by the surface of the object.

Thus , The farmer calculate surface area in unit of \(yd^{2}\)

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Answer:

y = - \(\frac{5}{6}\) x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 5 ) and (x₂, y₂ ) = (6, 0 )

m = \(\frac{0-5}{6-0}\) = \(\frac{-5}{6}\) = - \(\frac{5}{6}\)

the line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = - \(\frac{5}{6}\) x + 5 ← equation of line

The exponential function is a decay, and it can be written as:

f(x) = 1,200*( 0.875)^x

The general exponential function can be written as:

f(x) = A*(b)^x

Where A is the initial value and b is the base.

Here we have a decay rate, so this is an exponential decay, and we can write:

b = 1 - r

Where r is the decay rate in decimal form:

b = 1 - 0.125 = 0.875

And the initial value is 1,200, so the exponential function is:

f(x) = 1,200*( 0.875)^x

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Step-by-step explanation:

m= (4-0)/(2-1)

=4

y-int=1

y=mx+c

y=4x+1

Based on the information, the correct answer is B. Reject the null hypothesis; there is sufficient evidence to warrant rejection of the claim that the age bracket is independent of the choice for the cause of the United States' involvement in other countries' nuclear programs.

The test statistic is greater than the critical value, so we reject the null hypothesis. This means that there is sufficient evidence to conclude that the age bracket is not independent of the choice for the cause of the United States' involvement in other countries' nuclear programs.

In other words, the age bracket of a respondent is related to the reason they believe the United States should be involved in restrictions made on other countries' nuclear programs.

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Answer:ILL GIVE BRAINLIEST!! Pls answer A

Find the mÁB

104°

126°

B

D

Step-by-step explanation:ILL GIVE BRAINLIEST!! Pls answer A

Find the mÁB

104°

126°

B

D

Answer:

6) 106 degrees

7) each 'x' angles measures 118 degrees

Step-by-step explanation:

The sum of the measures of all exterior angles is always 360 degrees.

Answer:

1,2,3,4,6,8,12,24 sub set

Answer:

The sequence converges. The limit DNE.

Step-by-step explanation:

Find the limit of n as n tends to infinity (in other words, positive infinity) in {Ln(n)/ Ln(3n)}

Positive infinity values for n start from 1,2,3,4,5,6,7,8,9,10,11,12,13,14,...,infinity

So I solved for values of n, up to n=20. All values are rounded up to 3 decimal places; for better accuracy.

When n is 1, the function is equal to 0.000

When n is 2, the function is = 0.387

When n is 3, the function = 0.500

When n is 4, the function = 0.558

When n is 5, the function = 0.594

When n is 6, the function = 0.619

When n is 7, the function = 0.639

When n is 8, the function = 0.654

When n is 9, the function = 0.667

When n is 10, the function = 0.677

When n is 11, the function = 0.686

When n is 12, the function = 0.693

When n is 13, the function = 0.700

When n is 14, the function = 0.706

When n is 15, the function = 0.711

When n is 16, the function = 0.716

When n is 17, the function = 0.721

When n is 18, the function = 0.725

When n is 19, the function = 0.728

When n is 20, the function = 0.732

We say there is a convergence because the space between the values of n gets smaller and smaller as n tends to infinity and there is no definite limit. Limit DNE.

Answer:

A)x=-8 B)x=3

Step-by-step explanation:

A)-3x+10=34   -3x+10-10=34-10   -3x/-3=24/-3 x=-8

B) 13x-4=11x+10-8   13x-4+4=11x+10-8+4  13x-11x=11x-11x+6  2x/2=6/2   x=3

The image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).

In the given question,

We have to find the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin.

Since we have to find the image after a dilation.

So we learn about it now,

Any scale factor will dilate the image of any coordinate. A specific scale factor can be used to scale the coordinate up or down. To determine the answer, consider the scale factor in the equation and multiply or divide the coordinates of dilation by the appropriate scale factor.

So the given point is (-9,12).

Scale factor is 1/3.

So the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is define as

=(-9×1/3,12×1/3)

Simplifying

=(-3,4)

Hence, the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).

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Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so \(p = 0.5\)

15 members:

This means that \(n = 15\)

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

\(p = P(X = 0) + P(X = 15)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003\)

\(P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003\)

So

\(p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006\)

0.006% probability that the final vote count is unanimous.

Applying the Pythagorean Theorem, the missing values are:

1. c = 13 inches; 2. x = 6 inches

The Pythagorean Theorem is a fundamental mathematical theorem that states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

1. c = √(12² + 5²)

c = 13 inches.

2. x = √(10² - 8²)

x = 6 inches

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The answer of the given question based on the equation is , the unknown number is 6.

An equation is the  mathematical statement that asserts equality of the two expressions. It typically consists of the two expressions separated by equal sign " = ". The expressions can include variables, constants, and mathematical operations like addition, subtraction, multiplication, division, and exponentiation. Solving an equation involves finding the value(s) of the variable(s) that make the equation true.

The statement can be translated into an equation as follows:

2(y - 2) = 8

Simplifying the equation, we can distribute the 2 on the left-hand side:

2y - 4 = 8

Then, we can add 4 to both sides to isolate the variable:

2y = 12

Finally, we divide both sides by 2 to solve for y:

y = 6

Therefore, the unknown number is 6.

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Answer:

x=3/8

Step-by-step explanation:

Step-by-step explanation:

Actually 0.0605 is already in standard form and it can be expressed in scientific notations as given below.

\( \huge0.0605 = 6.05 \times {10}^{ - 2} \\ \)