2. Ava has 6 boxes of cookies, each box has 30 cookies. Select all the equations that describe the situation. [2 points]
a.ᐧ30=6
b.=6 ᐧ30
c.6=30
d.ᐧ6=30
e.306=

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

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

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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Answer:

The graph of a relation must pass the vertical line test.

True

Step-by-step explanation:

The graph of a relation must pass the vertical line test.

hope it is helpful to you

Answer:

y represents the money raised for charity

Step-by-step explanation:

Answer:

answer what???

Step-by-step explanation:

The total surface area of the cylinder is 157 square feet.

Given the radius of the cylinder = 4 inches

height of the cylinder = 9 inches

Total surface area is calculated by the formula:

A = 2πr² + 2πh

A = 2 × 3.14 × 4² + 2 × 3.14 × 9

or, A = 157 square feet.

Therefore the total surface area of the cylinder is 157 square feet.

The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.

The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.

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Using the angle addition postulate, it is found that the possible angle measures are given as follows:

116º, 64º.

The angle addition postulate is a geometry axiom that states that an angle, divided into a number of smaller angles, has the measure given by the sum of the measures of the smaller angles.

Angles 1 and 5 form a straight angle, hence:

<1 + <5 = 90º.

From the measures given in this problem, we can solve for x as follows:

2x + 4 + 4x + 20 = 90

6x = 66

x = 66/6

x = 11.

Then the measures are:

The five angles form a 360º angle, meaning that:

<2 + <3 = 180º.

Angles 2 and 3 are supplementary, meaning that the possible angle measures are given as follows:

116º, 64º.

As they add to 180º.

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Answer:

Step-by-step explanation:

I am assuming that i = √(-1)

3i*2i*(m + i)

= 6i^2(m + i)

= -6(m+ i)

= -6m - 6i.

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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Yeah, the day's high temperature is a function of it.

Any subset of a Cartesian product is a relation.

A subset of, for instance, is referred to as a "binary relationship from

These ordered pairings make up a binary relation from A to B. (a,b),

A relationship on A, more precisely, an A to B relationship."

These ordered pairs (a,b) make up a binary relation from A to B, where the first component is from A and the second component is from B.

A connection known as a function links each item in a set X to a single item in a different set Y. (possibly the same set).

A graph, which is a collection of all ordered pairs (x, f (x)), is the sole way to describe a function.

each operation

According to our question-

The graph attached in the question shows the high temperature in a city over the 10 days.

The graph shows the change in temperature as well as the change in the number of days.

Hence,  the high temperature is a function of the day.

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Answer:

the secound option :)

The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

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Answer:

-2.14

Explanation:

The z-score for a given value can be calculated as

Therefore, the z-score of 51 can be calculated as

Therefore, the answer is -2.14

Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

Answer:

Step-by-step explanation:

Number of electronic systems = 6

(a) Number of defected systems = 2

Probability of getting at least one system is defective

1 defective and 1 non defective + 2 defective

= (2 C 1 ) x (4 C 1) + (2 C 2) / (6 C 2)

= 3 / 5

(b) four defective

Probability of getting at least one system is defective

2 defective and 2 non defective + 3 defective and 1 non defective + 4 defective  

= (4 C 2 ) x (2 C 2) + (4 C 3 )(2 C 1) + (4 C 4) / (6 C 4)

= 1

Answer:

(a)P(At least one defective)\(=0.6\)

P(Both are defective)\(=0.067\)

(b)P(At least one defective)\(=14/15\)

P(Both are defective)\(=0.4\)

Step-by-step explanation:

We are given that

Total number of complex electronic system, n=6

(a)Defective items=2

Non-defective items=6-2=4

We have to find the  probability that at least one of the two systems tested will be defective.

P(At least one defective)=\(\frac{2C_1\times 4C_1}{6C_2}+\frac{2C_2\times 4C_0}{6C_2}\)

Using the formula

\(P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}\)

P(At least one defective)\(=\frac{\frac{2!}{1!1!}\times \frac{4!}{1!3!} }{\frac{6!}{2!4!}}+\frac{\frac{2!}{0!2!}\times \frac{4!}{4!}}{\frac{6!}{2!4!}}\)

Using the formula

\(nC_r=\frac{n!}{r!(n-r)!}\)

P(At least one defective)\(=\frac{2\times \frac{4\times 3!}{3!}}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}+\frac{1}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}\)

P(At least one defective)\(=\frac{2\times 4}{3\times 5}+\frac{1}{3\times 5}\)

P(At least one defective)\(=\frac{8}{15}+\frac{1}{15}=\frac{9}{15}\)

P(At least one defective)\(=\frac{3}{5}=0.6\)

Now, the probability that both are defective

P(Both are defective)=\(\frac{2C_2\times 4C_0}{6C_2}\)

P(Both are defective)=\(\frac{\frac{2!}{0!2!}\times \frac{4!}{4!}}{\frac{6!}{2!4!}}\)

P(Both are defective)\(=\frac{1}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}\)

P(Both are defective)\(=\frac{1}{3\times 5}\)

P(Both are defective)\(=0.067\)

(b)

Defective items=4

Non- defective item=6-4=2

P(At least one defective)=\(\frac{4C_1\times 2C_1}{6C_2}+\frac{4C_2\times 2C_0}{6C_2}\)

P(At least one defective)\(=\frac{\frac{4!}{1!3!}\times \frac{2!}{1!1!} }{\frac{6!}{2!4!}}+\frac{\frac{4!}{2!2!}\times \frac{2!}{2!}}{\frac{6!}{2!4!}}\)

P(At least one defective)\(=\frac{2\times \frac{4\times 3!}{3!}}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}+\frac{\frac{4\times 3\times 2!}{2!\times 2\times 1}}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}\)

P(At least one defective)\(=\frac{2\times 4}{3\times 5}+\frac{2\times 3}{3\times 5}\)

P(At least one defective)\(=\frac{8}{15}+\frac{6}{15}=\frac{8+6}{15}\)

P(At least one defective)\(=\frac{14}{15}\)

P(Both are defective)\(=\frac{4C_2\times 2C_0}{6C_2}\)

P(Both are defective)\(=\frac{\frac{4\times 3\times 2!}{2\times 1\times 2!}\times \frac{2!}{2!}}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}\)

P(Both are defective)\(=\frac{\frac{4\times 3\times 2\times 1}{2\times 1\times 2\times 1}}{3\times 5}\)

P(Both are defective)\(=\frac{6}{15}=0.4\)

P(Both are defective)\(=0.4\)

Answer:

If if i did the match correctly then you would be paying $53.33

Step-by-step explanation:

hope this helps!!!!!!! :D

The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .

Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.

We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.

Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)

Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.

Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD

Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC

Therefore, AC is congruent to c .

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A statement that is true about the mapping shown include the following: A. It represents a function because each x-value corresponds to exactly one y-value.

In Mathematics and Geometry, a function can be defined as a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the mapping diagram below, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the mapping diagram represent a function.

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Complete Question:

Which is true about the mapping shown?

A. It represents a function because each x-value corresponds to exactly one y-value.

B. It represents a function because each y-value corresponds to exactly one x-value.

&. It does not represent a function because each x-value corresponds to exactly one -value.

D, It does not represent a function because each y-value does not correspond to exactly one x-value.

Answer:

A significant negative relationship exists between the variables

Step-by-step explanation:

Base on the information given in the question which goes thus : For every unit increase in x, y decreases by 12.8094. The value 12.8094 is the slope which is the rate of change in y variable per unit change in the independent variable. The sign or nature of the slope Coefficient gives an hint about the relationship between the x and y variables. The slope Coefficient in this case is negative and thus we'll have a negative relationship between the x and y variables (an increase in x leads to a corresponding decrease in y). This is a negative association.

From the p-value of the test, it is found that the conclusion is:

At the null hypothesis, it is tested if there is no difference between the mean weight loss of men and women, that is:

\(H_0: \mu_m - \mu_w = 0\)

At the alternative hypothesis, it is tested if there is difference, that is:

\(H_1: \mu_m - \mu_w \neq 0\)

The p-value is of 0.03 < 0.05, hence the null hypothesis is rejected, and it is found that there is significant evidence to conclude that there is a difference.

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Answer:

There is sufficient evidence that there is a difference in mean weight loss between men and women.

Step-by-step explanation:

got it right

The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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D (6,-3) and the area is 30 square feet tall.

The formula for determining the volume of cylinder is expressed as

Volume = pi x radius^2 x height

From the information given,

radius = 4

height = 10

Volume = pi x 4^2 x 10

Volume = 160pi

option C is correct

Answer:

1,011.24 dollars

Step-by-step explanation:

900x1.06^2. 60 days is 2 months. A rate is in months.

The measure of the hypotenuse of the right-angle triangle is 53.21 feet.

Given that:

Perpendicular, P = 50 feet

Angle, Ф = 70°

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The measure of the hypotenuse of the right-angle triangle is calculated as,

sinФ = P/H

sin 70° = 50 / x

x = 53.21 feet

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To determine the perimeter of a rectangular yard:

3 feet = 1 yard

Perimeter = 2(Length + Width)

Therefore the perimeter of the rectangular pacrk = 1000 yards

Hence the correct answer is Option D

Answer:

She can invite 66 people so 66 x 5 = $330 + 120 = $450

Step-by-step explanation:

Answer:

that looks like the directions

Step-by-step explanation:

can you put a screenshot of the problem.

The scale factor used is:

1 centimeter equals half millimiter.

The scale factor tells us how many units in the sculpture represent a real unit.

We know that:

Real length = 9mm

Length in the sculpture = 18cm

Then we have the relation between the lengths:

18cm = 9mm

Dividing both sides by 18 we will get:

1cm = 9mm/18

1cm = 0.5mm

So the scale is 1 centimeter equals half millimiter.

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