When Amella started painting, the paint can had 7/8 gallon in it. She used 3/8 gallons How much paint is left in the can?​

It will take 21/2 tiles to cover the length of the floor and it will take 13/2 tiles to cover the width of the floor.

What is width?

Width is a term used to describe the measurement of the shortest side or dimension of an object or space.

To determine the number of tiles needed to cover the length of the bathroom floor, we need to divide the length of the floor by the length of each tile. Similarly, to determine the number of tiles needed to cover the width of the floor, we need to divide the width of the floor by the width of each tile.

First, we need to convert the mixed numbers of the length and width to improper fractions:

Length = 10 1/2 feet = (2 x 10 + 1)/2 = 21/2 feet

Width = 6 1/2 feet = (2 x 6 + 1)/2 = 13/2 feet

Now, let's assume that each tile is 1 foot by 1 foot. Since each tile covers an area of 1 square foot, the number of tiles needed to cover a rectangular area can be calculated by dividing the total area of the rectangle by the area of each tile.

To determine the number of tiles needed to cover the length of the floor, we divide the length of the floor by the length of each tile:

Number of tiles to cover length = Length / Length of each tile

= (21/2) / 1

= 21/2

Therefore, it will take 21/2 tiles to cover the length of the floor.

To determine the number of tiles needed to cover the width of the floor, we divide the width of the floor by the width of each tile:

Number of tiles to cover width = Width / Width of each tile

= (13/2) / 1

= 13/2

Therefore, it will take 13/2 tiles to cover the width of the floor.

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Answer:

play an instrument and a sport: 2

play an instrument but does not play a sport: 8

does not play an instrument but plays a sport: 10

does not play an instrument or a sport: 4

Answer:

---------------------

The scale of the map is 3 cm : 1 km.

The distance of 6 cm is twice the 3 cm, so the actual distance is:

The surface area of the triangular pyramid is approximately 256.224 square inches.

The surface area of a triangular pyramid can be calculated by summing the areas of its four triangular faces.

Given that one of the triangular faces has a length of 12 inches and a height of 10.39 inches, we can calculate its area using the formula for the area of an equilateral triangle:

Area = (1/2) * base * height

For the given triangular face:

Base = 12 inches

Height = 10.39 inches

Plugging in these values, we get:

Area of one triangular face:

= (1/2) * 12 * 10.39

= 64.056 square inches

Since there are four triangular faces in a triangular pyramid, the total surface area of the pyramid is:

= 4 * Area of one triangular face

= 4 * 64.056

= 256.224 square inches.

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The true statements are:The ball reaches the maximum height at t = 2 seconds.The maximum height reached by the ball is 17 feet from the ground.The ball is hit straight up in the air from 1 feet height from the ground.

To find the maximum height reached by the ball, we need to find the vertex of the parabolic function, which occurs at[tex]t = \frac{-b}{2a} = \frac{-16}{2*8} = 2[/tex]

So, the ball reaches the maximum height at t = 2 seconds.To find the maximum height, we substitute t = 2 in the given equation:

[tex]H(2) = -4(2)^2 + 16(2) + 1 = 17[/tex]

So, the maximum height reached by the ball is 17 feet from the ground.Therefore, the true statements are:The ball reaches the maximum height at t = 2 seconds.The maximum height reached by the ball is 17 feet from the ground.The ball is hit straight up in the air from 1 feet height from the ground.

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The range of this data set is quite large, ranging from $950 million to $5.5 billion.

Find the range, variance, and standard deviation for the sample data. What do the results tell us about the

population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision?

What do the results tell us about the population of all the celebrities?

To find the range, variance, and standard deviation for this sample data, we can use the following formulas:

Range = maximum value - minimum value

Variance = sum of (each value minus the mean) squared, divided by the sample size

Standard deviation = the square root of the variance

Using these formulas, we can calculate the following:

[tex]Range = 5500 - 950 = 4550[/tex]

[tex]Mean = (5500 + 3700 + 3200 + 1200 + 1000 + 950) / 6 = 2466.67[/tex]

[tex]Variance = [(5500 - 2466.67)^2 + (3700 - 2466.67)^2 + (3200 - 2466.67)^2 + (1200 - 2466.67)^2 + (1000 - 2466.67)^2 + (950 - 2466.67)^2] / 5 = 3031191.11[/tex]

[tex]Standard deviation = sqrt(3031191.11) = 1742.41[/tex]

The range of this data set is quite large, ranging from $950 million to $5.5 billion. The variance and standard deviation are also quite large, indicating that there is a wide range of net worths among celebrities. These results suggest that the population of all celebrities likely has a large variation in net worth, with some celebrities being extremely wealthy and others having much lower net worths.

Given the nature of these amounts, it is likely that they are precise to the nearest million dollars. It is possible that the true net worths of these celebrities are slightly higher or lower than the reported values, but the reported values are likely accurate to within a few million dollars.

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The confidence interval for the population proportion  is 0.458 < p < 0.604, with an error in the upper bound due to rounding.

Option A is correct

The formula for calculating a confidence interval for a population proportion is:

p ± z*√[(p(1-p))/n]

Given information:

the sample size is n = 130,

the sample proportion is x/n = 69/130 = 0.531, and

the desired level of confidence is 90%.

The critical value for a 90% confidence interval is z* = 1.645.

Substituting the values into the formula, we have :

p ± z*√[(p(1-p))/n]

0.531 ± 1.645√[(0.531(1-0.531))/130]

0.531 ± 0.080

In conclusion, the 90% confidence interval for the population proportion is:

0.531 - 0.080 < p < 0.531 + 0.080

0.451 < p < 0.611

we then round off to 3 decimal places:

0.458 < p < 0.614

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Out of the given options, option C is a rational function because it can be expressed as the ratio of two polynomial functions:

F(x) = (x² + 5x - 6) / 3x

A function that is the ratio of polynomials is referred to as rational. When a function of one variable, x, can be written as f (x) = p (x)/q (x), where p (x) and q (x) are polynomials with q (x) 0, the function is said to be rational.

A rational function is a function that can be expressed as the ratio of two polynomial functions, where the denominator is not equal to zero.

Out of the given options, option C is a rational function because it can be expressed as the ratio of two polynomial functions:

F(x) = (x² + 5x - 6) / 3x

The numerator of the function is a polynomial of degree 2 and the denominator is a polynomial of degree 1, so it satisfies the definition of a rational function.

Option A and B are not rational functions because they cannot be expressed as the ratio of two polynomial functions.

Option D is also not a rational function because it contains a square root function, which is not a polynomial function.

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Let A = first die is 5

Let B = total of two dice is greater than 9

[tex]\text{P(A)}= \dfrac{1}{6}[/tex]

​

Possible outcomes for A and B : {(5,5), (5,6)}

[tex]\text{P(A and B)}=\dfrac{2}{36} =\dfrac{1}{18}[/tex]

[tex]\text{P}\text{(B}|\text{A})=\dfrac{\text{P}(\text{A}\cap \text{B})}{\text{P(A)}}[/tex]

[tex]=\dfrac{1}{18} \times6= \dfrac{1}{3}[/tex]

Answer:

Step-by-step explanation:

To find the zeros of the function f(x) = -3x² + 75, we need to solve the equation -3x² + 75 = 0 for x. We can start by factoring out a common factor of -3:

-3x² + 75 = 0

-3(x² - 25) = 0

Now we can use the difference of squares formula to factor the expression inside the parentheses:

-3(x - 5)(x + 5) = 0

This equation is satisfied when one of the factors is equal to zero, so we can set each factor equal to zero and solve for x:

x - 5 = 0 --> x = 5

x + 5 = 0 --> x = -5

Therefore, the zeros of the function are x = -5 and x = 5, and we can write them in order from least to greatest as:

lesser x = -5

greater x = 5

Calculator solution:

To verify these results using a calculator, you can graph the function y = -3x² + 75 and look for where the graph intersects the x-axis. Here's how you can do that on a TI-84 calculator:

1) Press the "Y=" button to enter the function.

2) Enter "-3x^2 + 75" after "Y1=".

3) Press the "GRAPH" button to see the graph.

4) Press the "2nd" button followed by the "CALC" button (which is the "TRACE" button).

5) Select option 2: "zero" by pressing the number 2 on the calculator or using the arrow keys to highlight it and pressing "ENTER".

6) Move the cursor to the left of the zero on the left side of the graph and press "ENTER".

7) Move the cursor to the right of the zero on the right side of the graph and press "ENTER".

8) The calculator will display the zeros and ask if you want to store them to a variable. You can simply write down the values and press "ENTER" twice to exit the calculator's calculation.

The calculator will confirm that the zeros are x = -5 and x = 5, as we found above.

Answer:

[tex]54\pi \: {cm}^{2} [/tex]

Step-by-step explanation:

Given:

A cone

l = 15 cm

r (radius) = 3 cm

Find: A (surface area) - ?

[tex]a(surface) = \pi {r}^{2} + \pi \times r \times l[/tex]

[tex]a(surface) = \pi \times {3}^{2} + \pi \times 3 \times 15 = 9\pi + 45\pi = 54\pi \: {cm}^{2} [/tex]

For a two-tailed test with a 90% confidence interval and a significance level of 0.10, the null hypothesis of $16.15 would be rejected, but the null hypothesis of $15.50 would not be rejected.

Given:

Confidence level: 90%

Confidence interval for American employees' mean hourly wages in 2000: $15.49 to $16.11

Null hypothesis 1: Mean hourly earnings of all workers in 2000 was $16.15

Null hypothesis 2: Mean hourly earnings of all workers in 2000 was $15.50

Significance level (alpha): 0.10

For a two-tailed test with a 90% confidence interval and a significance level (alpha) of 0.10:

Null hypothesis 1:

In this case, since the null hypothesis value of $16.15 falls outside the confidence interval of $15.49 to $16.11, we would have enough evidence to reject the null hypothesis at the given significance level of 0.10. This means that we can reject the null hypothesis and conclude that the mean hourly earnings of all workers in 2000 is significantly different from $16.15.

Null Hypothesis 2:

In this case, since the null hypothesis value of $15.50 falls within the confidence interval of $15.49 to $16.11, we do not have enough evidence to reject the null hypothesis at the given significance level of 0.10. This means that we would not reject the null hypothesis and cannot conclude that the mean hourly earnings of all workers in 2000 is significantly different from $15.50.

Thus, the null hypothesis stating that the mean hourly earnings of all workers in 2000 is $16.15 would be rejected, while the null hypothesis stating that the mean hourly earnings of all workers in 2000 is $15.50 would not be rejected, based on a two-tailed test with a 90% confidence interval and a significance level of 0.10.

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3 is the Value of x and A = 38° , B = 44°, C = 25° , D = 54° , E = 34° , G = 39° are angles  in the polygon .

Describe polygons using an example?

Any two-dimensional object formed by a series of straight lines is referred to as a polygon. Some examples of polygons are triangles, hexagons, pentagons, and quadrilaterals.

                       Any object that is constructed in two dimensions using straight lines is called a polygon. Polygons include shapes like hexagons, triangles, pentagons, and quadrilaterals. The number of sides of the form is indicated by the name. As an illustration, a triangle has three sides while a quadrilateral has four.

in polygon,

       no = 7

          = 7 * 180

          =  1260

 (n-2)x180 = 1260

       n = 9

A = x + 29 = 9 + 29 =  38  

B = X + 35 = 9 + 35 =  44

C =  x + 16 = 9 + 16 = 25

 D = x + 20 =  9 + 20 = 25

 E =  x + 45 = 9 + 45 =  54

F = X + 25 = 9 + 25 =   34

 G = X + 30 = 9 + 30 = 39

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Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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The width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).

The base of a pyramid can be any polygon, such as a square or a triangle, but the height must always be measured perpendicular to the base.

Dimensions refer to the number of coordinates needed to specify the location of an object in space.

Based on the given information, we can set up an equation to solve for x, which is the width of the rectangular base of the pyramid:

Volume of pyramid = 1/3 × base area ×height

96 = 1/3 ×(3x+1) × x ×12

Simplifying the equation:

96 = 4x² + (4/3)x

Multiplying both sides by 3 to eliminate the fraction:

288 = 12x² + 4x

Rearranging the equation into a quadratic form:

12x² + 4x - 288 = 0

Dividing both sides by 4 to simplify the equation:

3x² + x - 72 = 0

We can then use the quadratic formula to solve for x:

x = (-b ± [tex]\sqrt{(b^2-4ac)}/2a[/tex]

where a = 3, b = 1, and c = -72.

Plugging in the values:

x=(-1±[tex]\sqrt{1^2-4(3)(-72)} /2(3)[/tex])

x=(-1±[tex]\sqrt{1+864} /6[/tex])

x = (-1 ±[tex]\sqrt{865} /6[/tex] )

Since the width of the base cannot be negative, we take the positive solution:

x = (-1 + √(865) / 6

Therefore, the width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).

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Answer:35 or 115

Step-by-step explanation

combine like terms

The value of side BC of square is [tex]13{\sqrt{2}[/tex] and the value of x through which the relation is satisfied  x = 7 .

What about square ?

A square is a regular quadrilateral with all four sides of equal length and all four angles of equal measure (i.e., 90 degrees). It can be thought of as a special case of a rectangle, where all four sides are equal in length.

The properties of a square include:

- All four sides are equal in length.

- All four angles are right angles (i.e., 90 degrees).

- Opposite sides are parallel and congruent.

- Diagonals bisect each other at right angles.

- The diagonals of a square are congruent.

According to the given information:

For (18) as we know all sides of square are equal

Hence AB = BC = X

[tex]x^{2} + x^{2} = 26^{2} \\\\2x^{2} = 26^{2} \\\\x = 13\sqrt{2}[/tex]

BC =  [tex]13\sqrt{2}[/tex]

In the same way the diagonal bisect the angle of triangle so, m ∠BCE =

m ∠CBE and m ∠BEC = 90 degree.

[tex](11x - 32) + (11x - 32) + 90 = 180\\\\2(11x -32) = 90 \\\\11x -32 = 45\\\\x = 7[/tex]

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Volume of the cylinder is 15197.60(to the nearest hundredth).

In mathematics, Cylinder is  the basic 3d shapes,  which has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center which is called height of the cylinder.

Given that the radius of the cylinder  is 11yd.

and the height of the cylinder is 40yd.

Formula for the volume of cylinder  is π × r² × h where π=3.14, r= radius and h= height.

Putting the values we get,

Volume of the cylinder is = 3.14 × (11)² × 40 cubic yd.

                                          = 15197.6

Hence, Volume of the cylinder is 15197.60(to the nearest hundredth).

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Answer:

Step-by-step explanation:

Let x be the amount Ms. Walsh invested in the account yielding 8% interest, and let y be the amount she invested in the account yielding 10% interest.

According to the problem, the total amount invested is $18,000, so we have:

x + y = 18,000

The interest earned from the account yielding 8% interest is 0.08x, and the interest earned from the account yielding 10% interest is 0.10y. The total interest earned is $1,600, so we have:

0.08x + 0.10y = 1,600

We now have two equations with two unknowns. We can solve for one of the unknowns and then use that value to find the other unknown.

Solving the first equation for y, we get:

y = 18,000 - x

Substituting this expression for y into the second equation, we get:

0.08x + 0.10(18,000 - x) = 1,600

Simplifying and solving for x, we get:

0.08x + 1,800 - 0.10x = 1,600

-0.02x = -200

x = 10,000

Therefore, Ms. Walsh invested $10,000 in the account yielding 8% interest. To find the amount she invested in the account yielding 10% interest, we can substitute x = 10,000 into the equation y = 18,000 - x:

y = 18,000 - 10,000

y = 8,000

Therefore, Ms. Walsh invested $8,000 in the account yielding 10% interest.

The correct answer is (C) [tex]\angle B \cong \angle C.[/tex] when In the diagram below of circle O, chords AD and BC intersect at E.

What is a circle ?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.

In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.

Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:

[tex]\angle A + \angle C = 180^\circ[/tex]

Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,

[tex]\angle B + \angle C = 180^\circ[/tex]

We can rewrite the second equation as:

[tex]\angle C = 180^\circ - \angle B[/tex]

Substituting this value of \angle C into the first equation, we get:

[tex]\angle A + 180^\circ - \angle B = 180^\circ[/tex]

Simplifying, we get:

[tex]\angle A = \angle B[/tex]

Therefore, the correct answer is (C) [tex]\angle B \cong \angle C.[/tex]

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Since I didn't see any options : 6.5 × 1.5

The equivalent value of the expression is A = ( 65 x 0.1 ) + ( 65 x 0.05 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 65 x 0.15

From the distributive property , we get

A = 65 x ( 0.1 + 0.05 )

On simplifying , we get

A = ( 65 x 0.1 ) + ( 65 x 0.05 )

Hence , the expression is A = ( 65 x 0.1 ) + ( 65 x 0.05 )

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The complete question is attached below :

Which expression is equivalent to 65x0.15

Answer: The components of 3r-s are (-9, 7).

Step-by-step explanation:

To find 3r-s, we need to first find 3r and then subtract s from it:

3r = 3<-2, 2> = <-6, 6>

3r - s = <-6, 6> - <3,-1>

Now we can subtract the components of s from the corresponding components of 3r:

= <-6-3, 6-(-1)>

= <-9, 7>

Therefore, the components of 3r-s are (-9, 7).

Answer:144

Step-by-step explanation:$216 for 18 hours is $12 an hour

12 times 12 = $144

1. The expression 2/3 (3/4 x - 3/2) is equivalent to x - 1/2. not equivalent to 1/2x - 1 and the third option. 2. The expression (2x + 1) - (x + 3/2) is equivalent to x - 1/2, not equivalent to 1/2x - 1 and the third option.

An expression is a mathematical sentence that may or may not have an equal sign, whereas an equation is a declaration that two expressions are equal. The equal sign in an equation indicates whether the result is true or false, depending on the values of the variables. On the other hand, while expressions can be assessed or sped up, they cannot be true or untrue. Expressions are used to represent quantities or operations, whereas equations are used to find the values of variables that the equation requires.

For the given expressions simplifying we get:

1. 2/3 (3/4 x - 3/2)

= 1/2 x - 1

This expression is equivalent to x - 1/2.

2. (2x + 1) - (x + 3/2)

= x - 1/2

This expression is equivalent to x - 1/2.

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The local minimum are at

b and r

There is neither minimum or maximum at

a, d, and s

In calculus, a local minimum is a point on a graph where the function has the lowest value in a specific region (usually a small interval around the point) compared to all other nearby points on the graph.

Similarly, a local maximum is a point on a graph where the function has the highest value in a specific region compared to all other nearby points.

To determine if a point is a local minimum or maximum on a graph, we need to examine the behavior of the function around that point. Specifically, we need to check the slope of the graph near that point.

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Answer:

The local minimum are at b and rThere is neither minimum or maximum at a, d, and s

Step-by-step explanation:

hope this helps! Mark me the brainliest

Answer:

800

Step-by-step explanation:

10% = 0.1

8000 · 0.1 = 800

So, 10% of 8000 is 800

Answer:

2. kilograms

Step-by-step explanation:

The form of association that would be found in the variables would be:

As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.

The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.

As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.

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