Marisol used 22 gallons of paint to paint the walls of her bedroom and of a gallon to paint the ceiling. How much paint did she use in all?

Answer:

the are so many numbers but here's one of them

Step-by-step explanation:

Since the number is less than 700, it cannot begin with a 7 or an 8.

So the hundreds digit can only be a 2 or a 5.

Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.

Hence, the number of such numbers is 2x3x2 which is 12.

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.

A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5

⇒ 25

The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5 x 3

⇒ 125

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 125 + 25

⇒ 150

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Answer:

a

  \(P(E \ n\  Z) =  0.0196\)

b

\(P(E \ n\  Z \ n \ Y) =  0.0027\)

Step-by-step explanation:

From the question we are told that

The probability of that a person is being called for jury duty in any given year is \(P(J) = 0.14\)

Let P(E) be the probability a person being selected in the first year, Let P(Z) be the probability a person being selected in the second year

and Let P(Y) be the probability a person being selected in the third year

Generally the probability that a particular eligible person in this city is selected in both of the next 2 years is mathematically represented as

\(P(E \ n\ Z) = P(E) * P(Z) = P(J)^2\)

=>      \(P(E \ n\  Z) =  0.14^2\)

=>      \(P(E \ n\  Z) =  0.0196\)

Generally the  probability that a particular eligible person in this city is selected in both of the next 3 years is mathematically represented as

     \(P(E \ n\  Z \ n \ Y) =  P(E) * P(Z)  * P(Y) =  P(J)^3\)

=> \(P(E \ n\  Z \ n \ Y) =  0.14^3\)

=>  \(P(E \ n\  Z \ n \ Y) =  0.0027\)

This multiplication of each probabilities is valid because each probability is independent of one another

A counter-example to the given conclusion is the difference between the numbers 15 and 25, where both are positive, but the difference gives a negative result.

Here we are shown some differences between positive numbers:

7 - 3 = 4

8 - 5 = 3

9 - 8 = 1

And the conclusion is:

"The difference of two positive numbers is always positive".

To find a counter-example we just need to find two positive numbers such that the difference between these two positive numbers gives a negative number as a result.

An example of that can be the numbers 15 and 25, if we take the difference we will get:

15 - 25 = -10

Here we can see that the difference between two positive numbers gives a negative number as an outcome, so this is our counter-example.

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Answer:

2,1

Step-by-step explanation:

x=2 and y=1

The number of days which it would take 1000 people to sign the petition as required in the task content is; 4.35 days.

It follows from the task content that the number of days which it would take Jan to get 1000 signatures on the petition be determined.

Since it is given in the task content that 230 people sign the petition each day.

It therefore follows from proportion that the number of days needed for 1000 people to sign the petition is;

= 1000/230

= 4.3478 days.

Hence, the number of days which it would take 1000 people to sign the petition is approximately; 4.35 days.

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Answer:

   on the outside of the bracket. The divisor is the number you're dividing by.Set up the division problem with the long division symbol or the the dividend, on the inside of the bracket. The dividend is the number you're dut 32, the divisor, on the outside of the bracket. The divisor is the number you're dividing by.Set up the division problem with the long division symbol or the long division brackPut 487, the dividend, on the inside of the bracket. The dividend is the number yoPut 32, the divisor, on the outside of the bracket. The divisor is the number you're dividing by.

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Givens

L = 5 cm

W = 5 cm

H = 2 cm

Formula

SA = 2L*W + 2L*H + 2*W*H

Solution

SA = 2*5*5 + 2*5*2 + 2*5*2

SA = 50 + 20 + 20

SA = 90 cm^3

The number of months to reach 51 can be illustrated as 3060 - 100x = 51.

The expression simply refers to the mathematical statements which have at least two terms that are related by an operator and contain either numbers, variables, or both.

The farmer planted 3,060 tomato plants in his garden.

Let's assume there's a decrease of 100 monthly.

The number of months, x, it will take for the number of tomato plants in his crop to reach 51 = c

This will be:

3060 - 100x = 51.

This illustrates the equation for the number of months.

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Answer:

I think it’s 10

Answer:

-8<x<2

Step-by-step explanation:

Answer:

15 14/15

Step-by-step explanation:

8 + 7 = 15

1/3 + 3/5

5/15 + 9/15

14/15

15 + 14/15 = 15 14/15

The equivalent choices are (A) sqrt 3 and (F) sqrt 5. We can simplify the given quotient by rationalizing the denominator.

To do this, we multiply both the numerator and denominator by the conjugate of the denominator, which is sqrt 15. This gives us:

sqrt 75 / sqrt 15 = (sqrt 75 / sqrt 15) * (sqrt 15 / sqrt 15) = sqrt (75 * 15) / 15 = sqrt 1125 / 15

Now we can simplify the numerator by factoring out perfect squares. We have:

sqrt 1125 = sqrt (225 * 5) = sqrt 225 * sqrt 5 = 15 * sqrt 5

Substituting this back into our expression, we get:

sqrt 75 / sqrt 15 = (15 * sqrt 5) / 15 = sqrt 5

Therefore, the equivalent choices are (A) sqrt 3 and (F) sqrt 5. Choice (B) 5 is not equivalent because it does not have a square root, while (C) sqrt 15 / sqrt 3 and (D) sqrt 25 / sqrt 5 are not equivalent because they are not in simplest form. Choice (E) 15/3 is equivalent to 5 but not to the given expression sqrt 75 / sqrt 15.

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The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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The visual that can help you in  creating a  3D structure using rectangular prism and others is given in the image attached.

3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.

In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure  will see and work within the real world.

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See text below



1. Start by creating a rectangular prism

as the base of your structure. This will

be the main structure that includes

the walls and interior rooms.

2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.

3. Add another cylindrical tower to the opposite corner of the rectangular

prism. Again, adjust the size and

height to your liking.

4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-

shaped roof to the other cylindrical tower.

5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.

6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.

7. Add a rectangular prism

perpendicular to the main structure,

creating an L-shape. This can be a

separate building or an extension of

the main structure.

8. Add a pyramid-shaped roof to the new

rectangular prism, and a cone-shaped roof to the cylindrical tower on the

opposite side of the main structure. 9. Finally, add spheres as decorative

elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,

pyramids, or cones, as long as you have at least 2 of each of the 5

required shapes.

Answer:

I think the answer should be floor 4 but since floor 5 is the closest I would go for that.

Step-by-step explanation:

there are 5 members initially in the group if every member has to bring 2 members and those 2 members have to also bring in 2 other members that mean 4 people that are brought in by one person and if there are 5 people in a group that means 20 people are brought in one floor if 20 * 4 is 80 plus the initial 5 members so they only need 4 floors to have at least 80 members.

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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Answer: nonic

Step-by-step explanation:

Answer: $24

Step-by-step explanation:

Since the popcorn combos are the same amount, we are essentially calculating the difference between 6 adult tickets and 6 student tickets.

6 adult tickets are $10*6 = $60, while 6 student tickets are $6*6 = $36.

60-36= $24

The function represented by the graph given is equivalent to -

g(x) = (x - 4)².

The function plotted represents a quadratic equation. A quadratic equation has a degree of 2. The given function is shifted to the left by 4 units. This means that the following transformation will take place on the x - coordinate of each and every point lying on the graph -

f(x, y) → f(x - 4, y)

So, we can write the function as -

g(x) = (x - 4)²

So, the function represented by the graph given is equivalent to -

g(x) = (x - 4)²

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Answer:

Step-by-step explanation:

20,24,25,27,31,35,38

minimum;20

medium: 27

maximum: 38

lower quartile: 24

upper quartile:35

put numbers in number order

the first number is the minimum, the last number is the maximum. the middle number "split" is the median.

quartiles are the numbers in the middle of the data you just "split"

(so like a quarter)

i may be wrong i haven't done this in years

Answer:

b

Step-by-step explanation:

Answer:B

Step-by-step explanation:

The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.

Examples of transformations are given as follows:

The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.

The transformation for this problem has the rule defined as follows:

(x,y) -> (x + 2, -y).

The transformations are defined as follows:

Neither transformation is a dilation, hence it is a rigid motion.

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Answer: The numerator simplified is equal to 2^9. This is because you add the exponents to simplify. The denominator is also equal to 2^9 because you multiply the exponents to simplify. 2^9 divided by 2^9 equals 1.

Step-by-step explanation:

Answer:

It is equal to 1 because: 2^4 is 16, 2^5 is 32, 16 times 32 is 512. 2^3 is 8, 8^3 is 512. 512/512 is 1.

I hope this helps!

Answer:

2(8a + 5)

Step-by-step explanation:

Hi there!

16a + 10

The two terms here are 16a and 10. Both of them are divisible by 2. Factor 2 out of the terms:

= 2(8a + 5)

Now, there are no more common factors between 8a and 5. Therefore, this expression is now fully factored.

I hope this helps!

The present value (PV) of the investment today is approximately $2,965.05.

To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.

The formula for the present value of an annuity is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value

C = Cash flow per period

r = Interest rate per period

n = Number of periods

In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.

Let's plug in these values into the formula and calculate the present value (PV):

PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]

Using a calculator, we can evaluate the expression inside the brackets:

PV = $500 * [(1 - 0.376889) / 0.105]

Simplifying further:

PV = $500 * [0.623111 / 0.105]

PV = $500 * 5.930105

PV = $2,965.05

Therefore, the present value (PV) of the investment today is approximately $2,965.05.

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Answer:

Variance of this population = 9,409

Step-by-step explanation:

Given:

Standard deviation of population = 97

Random sample size = 26

Find:

Variance of this population

Computation:

Standard deviation (σ) = 97

Variance = Standard deviation²

Variance = (σ)²

Variance of this population = Standard deviation of population²

Variance of this population = 97²

Variance of this population = 9,409

The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: The measure of the frame is 8.5 inches and 11 inches

a) if the frame is 4 papers long then we  have the length of the frame as

11×4=44 inches (since he lays the paper along the edge of frame)

We know 1 inch= 0.0833 foot

Thus      44 inches= 3.66667 foot

b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches

∴25.5 inches= 2.125 feet

Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

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The difference of the algebraic expressions is 3x² - 11x + 4

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

The difference of two algebraic expressions means the subtraction of the expressions. That is:

(-4x+3) - (7x - 3x² - 1) = -4x+3 -7x+3x²+1

                                 =  3x² - 11x + 4

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When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.

To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.

An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.

The given expression is:

jkh + hj - jk

Substituting the given values of h, j, and k, we get:

jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))

Now simplify the expression

jkh + hj - jk = (-20) + 20 + 5

jkh + hj - jk = 5

Therefore, the value of  jkh + hj - jk equals 5.

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