Look at the picture.

Answer:

(x-6)(x+4)

Step-by-step explanation:

These probabilities are not equal, the statement "p(x = 0) = p(y = 0)" is False

What is Binomial Random Variable?

A specific type of discrete random variable that counts how often a certain event occurs in a fixed number of trials or trials. For a variable to be a binomial random variable, ALL of the following conditions must be true: There is a fixed number of trials (fixed sample size). On each trial, the event of interest either occurs or does not occur.

The probability mass function (PMF) for a binomial random variable with parameters n and p is given by the formula:

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

Where C(n, k) represents the binomial coefficient, defined as:

C(n, k) = n! / (k! * (n - k)!)

For the given values of n and p, let's calculate the probabilities:

For x:

n = 10

p = 0.3

P(x = 0) = C(10, 0) * 0.3^0 * (1 - 0.3)^(10 - 0)

= 1 * 1 * 0.7^10

≈ 0.0282

For y:

n = 10

p = 0.7

P(y = 0) = C(10, 0) * 0.7^0 * (1 - 0.7)^(10 - 0)

= 1 * 1 * 0.3^10

≈ 0.0000282

Therefore, p(x = 0) is approximately 0.0282, while p(y = 0) is approximately 0.0000282. Since these probabilities are not equal, the statement "p(x = 0) = p(y = 0)" is false.

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Answer:

1008 calories

Step-by-step explanation:

one pound = 16 ounces

16 ÷ 8 = 2

504 × 2 =

1008

Answer:

-24a-40y

Step-by-step explanation:

Answer:

Step-by-step explanation:

-8(3a) -8(5y) = -24a -40y

The measure (in radians) of the angle formed by the hands of a clock at 1.30 PM is 3π/4 radians.

The given time is 1:30 PM.

Time is used to quantify, measure, or compare the duration of events or the intervals between them, and even, sequence events.

The angle between hour hand and minute hand is 135°.

In radians = 135° ×π/180°

= 9π/12

= 3π/4

Therefore, the measure (in radians) of the angle formed by the hands of a clock at 1.30 PM is 3π/4 radians.

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Answer:

E=7

Step-by-step explanation:

It's an isosceles triangle. If one side is 7, the other is 7 too.

Hope this helped!!!

Answer:

y = 7

eight grade math comes back to haunt me

Answer:

are 5, x, and 15, what is the largest possible value of x

Step-by-step explanation:

Answer:A. If the unequal sides of a triangle are integers, and in size order are 5, x, and 15, what is the largest possible value of x?

Group of answer choices

11

12

13

14

B. Which of the following points does not lie on the circle whose equation is (x−3)^2+(y−2)^2=100?

Group of answer choices

(-7, 2)

(3, -8)

(3, 12)

(13, 1)

Step-by-step explanation:

It is proved that Point A is situated equal distance from Triangle PQA and RQA.

It is a line that divide an angle or a line in two equal parts.  In the given figure, QA is a bisector as it divides the angle PQR.

Triangles are called congruent when they have equal corresponding sides and equal corresponding angles. As shown in figure, the bisector QA creates two congruent triangle PQA and RQA.

it is given, QA is bisector of angle Q, so point A lies equal distance from P and R. According to the figure, APQ and ARQ are right angle.

As per the rules of congruence theorem, triangle PQA and Triangle RQA are two congruent triangles.

hence, A is the same distance from P and R

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Statement                                                                  Reason

1. QA is the bisector of ∠PQR                                   Given

2. ∠PQA   ≅ ∠RQA                                          Definition of bisector

4. ∠QXA ≅ ∠QYA                                   All right angles are congruent

5. QA ≅ QA                                                                Given

6.△PQA ≅ △RQA                                            AAS Postulate

8. Point A is equidistance                              Definition equidistance

from the side of ∠PQR        

What is right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given that point A is lie on the bisector of ∠PQR.

When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector. Segment bisectors and angle bisectors are the sorts of bisectors that are most frequently taken into consideration.

Therefore QA is the bisector of ∠PQR

Then ∠PQA   ≅ ∠RQA  

Since ∠QXA and ∠QYA are right angle, therefore they are congruent.

∠QXA ≅ ∠QYA

QA ≅ QA

AAS postulate: The triangles are congruent if two angles and the excluded side of one triangle match two angles and the excluded side of another triangle.

According to AAS postulate,

△PQA ≅ △RQA  

Point A is equidistance from ∠PQR.

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The change in the scale factor is 4/5.

A scale factor is defined as the ratio between the scale of a given original object and a new object.

12 / 15

12 ÷ 3 = 4

15 ÷ 3 = 5

4/5

Answer key: The change of scale means that 1 inch represented 4 feet, but now 1 inch represents 5 feet.

1 inch represents 4 feet which factors 12 feet.

4 cannot factor 15 feet.

5 can factor 15 feet.

1 inch would represent 5 feet then.

15 ÷ 5 = 3 inches

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Answer:

The tatal budget of what, there's no budget the budget down so I can do the problem.

The surface area of a sphere is 314.16 square units.

A sphere is a 3 dimensional figure, which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the center of the sphere.

For the given situation,

The radius of the sphere,r =  5 units

The formula of the surface area of a sphere is

\(A=4\pi r^{2}\)

On substituting the above values,

⇒ \(A=4(3.14)(5)^{2}\)                [∵ π = 3.14]

⇒ \(A=(4)(3.14)(25)\)

⇒ \(A=314.16\)

Hence we can conclude that the surface area of a sphere is 314.16 square units.

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Answer:

3x +3 =20.7

3x = 20.7 - 3 => x = 17.7 / 3 = $5.9

Step-by-step explanation:

The given matrix A is invertible, and its inverse can be found by calculating the reciprocal of the determinant and multiplying it by the adjugate of the matrix A.

To find the inverse of the matrix A, we follow these steps:

Calculate the determinant of matrix A: det(A).

Check if the determinant is non-zero. If det(A) ≠ 0, then the matrix A is invertible.

Calculate the adjugate of matrix A: adj(A). This involves finding the transpose of the cofactor matrix.

Calculate the reciprocal of the determinant: 1 / det(A).

Multiply the adjugate of A by the reciprocal of the determinant: inv(A) = (1 / det(A)) * adj(A).

Given matrix A: [9 6; 11 40; 5 576]

Calculate the determinant of A:

det(A) = (9 * 40) - (6 * 11) = 360 - 66 = 294

Since det(A) ≠ 0, we proceed with finding the inverse.

Calculate the adjugate of A by finding the cofactor matrix and transposing it:

adj(A) = [40 -11; -6 9; 576 5]

Calculate the reciprocal of the determinant:

1 / det(A) = 1 / 294

Multiply the adjugate of A by the reciprocal of the determinant to obtain the inverse of A:

inv(A) = (1 / 294) * [40 -11; -6 9; 576 5]

Now, to check our answer, we can multiply A and its inverse, which should yield the identity matrix:

A * inv(A) = [9 6; 11 40; 5 576] * [(1 / 294) * [40 -11; -6 9; 576 5]]

Performing the multiplication, we should obtain the identity matrix I:

A * inv(A) = I

By performing the multiplication, you can verify if the result indeed matches the identity matrix.

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Answer:

8 minutes

Step-by-step explanation:

since  y represents the number of equations solved, and since the question requires that you find the time when they both solved the same equations

y = y

0.75x = 0.5x + 2

0.75x - 0.5x = 2

0.25x = 2

x = 2/0.25

x = 8

X is 55 after rearranging the equation given

The correct answer is:  " 3,000 mg " ;  

 that is;  "Three-thousand milligrams."
____

Step-by-step explanation:
____
Note:  The following is an "exact figure" conversion:
              1,000 mg = 1 g ;   ↔  1 g = 1,000 mg ;

 (i.e. "One-thousand" milligrams = 1 gram" ;

    and likewise:  "one gram = one-thousand milligrams."].

____
We are given the weight, as a measure of mass;
  in units of "grams" (g) ; and we are asked to convert this number into units of "milligrams (mg) ".
____

So:  Convert our given:  " 3 g " ;  into units of "mg" ; as follows:

" Note:  \(3g =\frac{3g}{1}\) " ;

 And using the method of "dimensional analysis":

  "  \(\frac{3g}{1} *\frac{1,000 mg}{1g}\)  =  [our answer] ? "
____

Note:  The units of:  "g" ["grams"] in the numerator of the left multiplicand of the expression—along with the units of "g" ["grams"] in the denominator of the second multiplicand in the expression—both cancel out to:  " 1 " ;

→ {Since:  "g/g" = "g ÷ g" = "1 ".].

Now, we can write the expression:

→  " \(\frac{3}{1} *\frac{1,000mg}{1}\)  ;   → "(3)*(1,000 mg)"  = " 3,000 mg" ; which is our answer.

The correct answer is:  " 3,000 mg " ;  

 that is;  "Three-thousand milligrams."
____
Hope this answer and explanation is helpful to you!  
 Wishing you well!
____

Answer:

Contrapositive: if a polygon does not have more than 3 sides, then it is a triangle. Since it is a true statement, the contrapositive is a true statement, the original statement must be a true statement.

Step-by-step explanation:

Original statement: if a polygon has more than three sides, then it is not a triangle.

Let P = a polygon has more than three sides

Let Q = it is not a triangle

Conditional statement: If P, then Q

Contrapositive statement: if not P, then not Q.

If a conditional statement is true, then the contrapositive is true.

If a contrapositive statement is true, then the contrapositive is true

Answer:

\(\sf [0,∞)\) is the inequality.

Step-by-step explanation:

This is the inequality represented by this graph. The main reason is this inequality contains zero to infinity.

Answer:

\(\sf{[0,\infty) }\)

Step-by-step explanation:

this inequality contains zero to infinity

For the spinner with 3 sectors, the total number of outcomes for 3 spins is 27.

A combination is a mathematical technique that determines the number of possible arrangements.

Let's we have to define

A, B, and C, as the regions in the spinner.

So, we spin it 3 times, and for each of these times there are 3 outcomes, so the outcomes will be of the form:

The outcome of spin 1, the outcome of spin 2, outcome of spin 3.

The total number of  different outcomes will be:

3^3 = 27

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Answer:

\(\boxed {\boxed {\sf f(g(0))= 1}}\)

Step-by-step explanation:

We are asked to find the value of f(g(0)). We must start from the inside with g(0).

1. g(0)

The function is: g(x)= 2x-1. We want to find g(0), so we must substitute 0 in for x.

\(g(0)=2(0)-1\)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Multiply 2 and 0.

\(g(0)= 0-1\)

Subtract.

\(g(0)= -1\)

2. f(-1)

Since g(0) is equal to -1, f(g(0)) is equal to f(-1). The function is f(x)= x²+4x+4. We want to find f(-1), so we must substitute -1 in for x.

\(f(-1)= (-1)^2+4(-1)+4\)

Solve according to PEMDAS. Solve the exponent first.

\(f(-1)= 1+4(-1)+4\)

Multiply.

\(f(-1)= 1-4+4\)

Subtract, then add.

\(f(-1)=-3+4 = 1\)

f(g(0)) is equal to 1.

The initial-value problem is given by the differential equation dy/dt = y²e^(-t), with the initial condition y(0) = a, where t ≥ 0. To solve this initial-value problem, we can use the method of separation of variables.

First, we separate the variables by writing the equation as dy/y² = e^(-t) dt. Then we integrate both sides of the equation. Integrating the left side gives us ∫(1/y²) dy, which simplifies to -1/y. Integrating the right side gives us ∫e^(-t) dt, which simplifies to -e^(-t).

Now, we have -1/y = -e^(-t) + C, where C is the constant of integration. We can solve for y by taking the reciprocal of both sides, which gives y = -1/(-e^(-t) + C). Simplifying further, y = 1/(e^(-t) - C).

To find the particular solution that satisfies the initial condition y(0) = a, we substitute t = 0 and y = a into the equation. This gives a = 1/(e^0 - C), which simplifies to a = 1/(1 - C). Solving for C, we find C = 1 - 1/a.

Finally, substituting this value of C back into the general solution, we have y = 1/(e^(-t) - (1 - 1/a)), which simplifies to y = 1/(e^(-t) + 1/a - 1).

In summary, the solution to the initial-value problem dy/dt = y²e^(-t), y(0) = a, where t ≥ 0, is y = 1/(e^(-t) + 1/a - 1)

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The significant figures are the digits of the number that provide information about the measurement that number represents.

In this case, all the digits has to be included because all of them are giving information about the measurement.

sawarasenaikimiwa⛓shoujonano?✨böKùWâÿARiçHiñBįCChīńOoSûDàYO

Answer:

the answer would be 26

Step-by-step explanation:

To find the range you would have to subtract the biggest number in the sequence by the smallest number

We will have the following:

First, we have that an standard deck of cards has 52 cards in total, and 13 cards of each description (hearts, clubs, spades and diamonds) and 26 are red and 26 are black.

Now, with this information we will calulate the probabilities:

A)

*Without replacement:

*With replacement:

The size of the angle after the transformation is 124 degrees

The transformation is described by

Rotation by degrees around a center 0

The measure of the angle is given as

Angle = 124 degrees

There are four types of transformation, and they are:

The representation of the types of transformation are:

As a general rule of rotation:

When a shape, line or an angle is rotated, the size of the angle in the rotated figure remains unchanged

This means that the angle remains 124 degrees

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The term "resilience" encompasses the psychological processes and traits that enable individuals to deal with traumas and recover their healthy and effective functioning.

To understand resilience more deeply, let's consider a mathematical analogy.

Just as mathematical equations can be adjusted or modified to solve different problems, individuals need to adapt their coping mechanisms to match the specific demands of a trauma. Being adaptable allows people to assess the situation, identify necessary adjustments, and find effective strategies for recovery.

Resilience is not solely about returning to a pre-trauma state but also involves personal growth and transformation. In mathematics, this growth can be compared to solving a complex problem that requires expanding one's knowledge and skills.

It's important to note that resilience is not a fixed trait, but rather a dynamic process that can be developed and strengthened over time. Just as mathematical skills can be improved through practice and learning, individuals can cultivate resilience through various interventions, such as therapy, support groups, self-care practices, and building healthy relationships.

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Answer:

a) below

b) log_35 (8) = x

c) x = 0.58487

Step-by-step explanation:

a) 35^x=8

apply the exponent rule

xln(35) = ln(8) → x = ln(8)/ln(35) → x = 3ln(2)/ln(35)

x = 0.58487

c) log_35 (8) = x

x = log_35 (8)

base form (Rewrite 8 in power)

x = log_35 (2^3)

log rule: log_a(x^b) = b*log_a(x)

log_35 (2^3) = 3log_35(2)

x = 3log_35(2)

x = 0.58487

Answer:

Step-by-step explanation:

Q.1:

6m - 8n - 10m - 2 - 2n + 4 = -6n - 4m + 2

12x - 25y - 10z + 10 - 16x - 2z + 7 = -4x - 25y - 12z + 17

Q.2:

8pq + 20qr - 16s = 4(2pq + 5qr - 4s)

4a2 + 7a + 3 = (4a + 3)(a + 1)

a2 - 5a + 2ab - 10b = (a - 2)(a + 2b - 5)

Q.3:

3m4 + 5m8 - m2 = m2(3m2 + 5m6 - 1)/(m2) = 3m2 + 5m6 - 1

2p3 - 3p + p2 = p2(2p - 3)/(p2) = 2p - 3

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