Refer to your. Completed table for the question referring to the children’s shows what is the marginal distribution of girls? Round your answer to the nearest tenth of a percent type a numerical answer.

To find the time when they will be together at the starting point, we need to find the least common multiple (LCM) of their individual times.

The LCM of 24, 48, and 42 can be found by prime factorizing each number:

24 = 2^3 × 3

48 = 2^4 × 3

42 = 2 × 3 × 7

The LCM is the product of the highest powers of all the prime factors involved:

LCM = 2^4 × 3 × 7 = 168

Therefore, they will be together at the starting point every 168 seconds.

To convert this to minutes, we divide by 60:

168 seconds ÷ 60 = 2.8 minutes

Therefore, they will be together at the starting point every 2.8 minutes.

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Answer:

x = ±9i

Step-by-step explanation:

-405/5 = -81

sqrt(-81) = 9i

Answer: x = ±9i

Answer:

[tex]x=\pm 9\:i[/tex]

Step-by-step explanation:

The given solutions of the quadratic equation 5x² + 405 = 0 are:

[tex]x=\pm \sqrt{\dfrac{-405}{5}}[/tex]

To simplify the values of x, first divide 405 by 5:

[tex]x=\pm \sqrt{-81}[/tex]

Rewrite -81 as 9² · -1:

[tex]x=\pm \sqrt{9^2 \cdot -1}[/tex]

[tex]\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}[/tex]

[tex]x=\pm \sqrt{9^2}\sqrt{ -1}[/tex]

[tex]\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0[/tex]

[tex]x=\pm 9\sqrt{ -1}[/tex]

[tex]\textsf{Appl the imaginary number rule:}:\;\sqrt{-1}=i[/tex]

[tex]\boxed{x=\pm 9\:i}[/tex]

Therefore, the equivalent solutions to the given quadratic are x = ±9i.

Answer:

7 + 1 + 1 + 1 = 10

Step-by-step explanation:

This question is not very clear as to what is required, or any possible limitations. One possible solution is listed below, hope it does help.

Using the numbers 1, 6, and 7, you can get the number 10 through the following equation:

7 + 1 + 1 + 1 = 10

By adding 7 with three instances of 1, you obtain 10.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Answer:

x=7

m<CBD=46°   m<BDC=65°

m<BCD=69°   m<JBC=134°

It is a scalene or acute triangle

Step-by-step explanation:

19x+1=9x+6+65

19x=9x=6+65-1

10x=70

x=7

m<CBD=180-(9(7)+6+65)

m<CBD=46

m<BDC is given.  65

m<BCD=9(7)+6

m<BCD=69

m<JBC=19(7)+1

m<JBC=134

(Also, can do 180-46=134)

All three sides are different and all three angles are less than 90.  Therefore, it is a scalene or acute triangle

The value of two in 0.259 is 0.2 because it represents two hundredths or 2/100 of the total value of the number.

In the decimal number 0.259, the value of two depends on its position or place within the number. Each digit in a decimal number represents a different place value, starting from the left with the tenths place, hundredths place, thousandths place, and so on.

Since two is in the hundredths place in the number 0.259, its value is 0.02. This means that the digit two contributes two hundredths to the total value of the number. The digit in the tenths place (5 in this case) represents five tenths, and the digit in the thousandths place (9 in this case) represents nine thousandths.

To calculate the total value of 0.259, we add up the contributions from each place value: 0.2 (for the tenths place), 0.05 (for the hundredths place), and 0.009 (for the thousandths place). Adding these values together gives us a total value of 0.259.

In summary, the value of two in 0.259 is 0.2 because it represents two hundredths or 2/100 of the total value of the number.

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[tex] \bold{a {}^{n + 3} - 3a {}^{n + 2} - 4a {}^{n + 1} - a {}^{n} \: \: by \: \: - a {}^{n} \: \: x {}^{2} }[/tex]

Case of multiplication of a Polynomial by a monomial. The rule says that, to multiply the monomial by each of the terms of the polynomial, taking into account the law of signs, separating the partial products with their own signs. That is, we apply the Distributive Law of multiplication.

Then, we will solve by Distributive law.

[tex]\bold{(a {}^{n + 3} - 3a {}^{n + 2} - 4a {}^{n + 1} - a {}^{n})( \: \: - a {}^{n} \: \: x {}^{2} ) }[/tex]

[tex] \sf{a {}^{n + 3}( - a {}^{n}x {}^{2}) - 3a {}^{n + 2}( - a {}^{n}x {}^{2}) - 4a {}^{n + 1} ( - a {}^{n} x {}^{2} ) - a {}^{n} ( - a {}^{n} x {}^{2}) }[/tex]

[tex] \sf{ - 1 \cdot 1a {}^{n + 3 + n}x {}^{2} + 3 \cdot1 a{}^{n + 2 + n}x {}^{2} + 4 \cdot1a {}^{n + 1 + n}x {}^{2} + 1 \cdot1a {}^{n + 2}x {}^{2} }[/tex]

[tex]\bold{ Answer}=\sf{- a {}^{2n + 3} x {}^{2} + 3a {}^{2n + 2}x {}^{2} + 4a {}^{2n + 2}x {}^{2} + a {}^{2n} x {}^{2}} [/tex]

Answer: A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

Step-by-step explanation:

To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.

Given dimensions:

Room length: 26 feet

Room width: 18 feet

Room height: 9 feet

Door dimensions:

Height: 6 feet 6 inches

Width: 4 feet

Window dimensions (each):

Width: 2 feet

Height: 2 feet 6 inches

A: Carpeting the floor:

To find the area of the floor, we multiply the length and width of the room:

Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.

To convert to square yards (since the carpet is sold per square yard), we divide by 9:

Floor area in square yards = 468 square feet / 9 = 52 square yards.

Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.

B: Wallpapering the walls:

To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:

Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.

Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.

C: Painting the ceiling:

To find the area of the ceiling, we multiply the length and width of the room:

Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.

Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:

Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.

Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.

Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.

D: Cost of the entire project:

Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling

= $936.00 + $297.00 + $33.25 = $1266.25.

Therefore:

A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

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The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

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Answer:

3rd option

Step-by-step explanation:

there is no division so automatically take out the second and fourth options

The quantity of pulses is still there in the bag is 23150 grams.

Given that, Neil has a bag of pulses which weighs 25 kg.

We know that, 1 kg=1000 grams

Here, 25 kg = 25×1000 = 25000 grams

While putting them in the shelf, he tore the bag and hence 1850 g of pulses fell on the floor.

Quantity of pulses left in bag = 25000-1850

= 23150 grams

Therefore, the quantity of pulses is still there in the bag is 23150 grams.

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"Your question is incomplete, probably the complete question/missing part is:"

Neil has a bag of pulses which weighs 25 kg. While putting them in the shelf, he tore the bag and hence 1850 g of pulses fell on the floor. What quantity of pulses is still there in the bag?

================================================

Work Shown for problem 1

P(pink, then violet) = P(pink)*P(violet given 1st was pink)

= (4/14)*(2/13)

= 8/182

= 4/91

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

Work Shown for problem 2

P(gray, then gray)

= P(gray)*P(gray given 1st was gray)

= (3/14)*(2/13)

= 6/182

= 3/91

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

Work Shown for problem 3

P(not yellow, not yellow)

= P(not yellow)*P(not yellow given 1st was not yellow)

= (9/14)*(8/13)

= 72/182

= 36/91

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

Work Shown for problem 4

P(yellow, not yellow)

= P(yellow)*P(not yellow given 1st was yellow)

= (5/14)*(9/13)

= 45/182

Based on the given properties, we can sketch the parabola y = f(x) as follows:

1. The first property, f(-3) = 0, tells us that the parabola has an x-intercept at x = -3.

2. The second property, f(0) = 6, tells us that the parabola has a y-intercept at y = 6.

3. The third property, f(-1) = 0, tells us that the parabola has another x-intercept at x = -1.

4. The fourth and fifth properties tell us that the parabola is positive (above the x-axis) when x < -1 and negative (below the x-axis) when x > -1.

Based on these properties, we can sketch a parabola that opens downward with x-intercepts at x = -3 and x = -1 and a y-intercept at y = 6. The vertex of the parabola would be located at the midpoint of the two x-intercepts, which is (-3 + (-1)) / 2 = -2. Since the parabola opens downward and has a y-intercept of 6, the vertex must be located above the y-intercept.

Here is one possible sketch of the parabola y = f(x) based on the given properties:

Answer:

See attachment.

Step-by-step explanation:

The x-intercepts of a function are the points at which the curve crosses the x-axis, so when f(x) = 0.

Given f(-3) = 0 and f(-1) = 0, this indicates that the two x-intercepts of the parabola y = f(x) are x = -3 and x = -1.

For a parabola that opens upwards:

For a parabola that opens downwards:

The x-intercepts are x = -1 and x = -3.

Given that f(x) > 0 when x < -1, and f(x) < 0 when x > -1, this indicated that the parabola opens upwards.

The y-intercept is the point at which the curve crosses the y-axis, so when x = 0. Given f(0) = 6, this indicates that the y-intercept is y = 6.

The x-value of the vertex is the midpoint of the two x-intercepts.

Given the x-intercepts are x = -3 and x = -1, then the x-value of the vertex of the parabola is x = -2.

To find the y-value of the vertex, we need to create the equation of the function and substitute x = -2 into it.

Substitute the x-values into the intercept formula:

[tex]\boxed{\begin{minipage}{6 cm}\underline{Intercept form of a quadratic equation}\\\\$y=a(x-p)(x-q)$\\\\where:\\ \phantom{ww}$\bullet$ $p$ and $q$ are the $x$-intercepts. \\ \phantom{ww}$\bullet$ $a$ is the leading coefficient.\\\end{minipage}}[/tex]

[tex]y=a(x-(-3))(x-(-1))[/tex]

[tex]y=a(x+3)(x+1)[/tex]

To find the value of a, we can substitute the given point (0, 6) into the equation:

[tex]6=a(0+3)(0+1)[/tex]

[tex]6=a(3)(1)[/tex]

[tex]6=3a[/tex]

[tex]a=2[/tex]

Substitute the found value of a into the equation and expand to standard form:

[tex]y=2(x+3)(x+1)[/tex]

[tex]y=2(x^2+4x+3)[/tex]

[tex]y=2x^2+8x+6[/tex]

To find the y-value of the vertex, substitute x = -2 into the equation of the parabola:

[tex]y=2(-2)^2+8(-2)+6=-2[/tex]

Therefore, the vertex of the parabola is (-2, -2).

Sketch an upwards opening parabola with:

The x-value of the vertex is the axis of symmetry. Therefore, ensure your parabola has symmetry about the vertical line x = -2.

[tex]\hrulefill[/tex]

Please note that there is likely an error in the properties you have been given. If the y-intercept is positive, and both x-intercepts are negative, the parabola opens upwards. Therefore, f(x) > 0 when x > -1, and f(x) < 0 when x < -1.

The correct ways to represent 2.56 are options 1 and 3: 2 ones + 5 tenths + 6 hundredths and 2 ones + 50 tenths + 6 hundredths.The representation of the number 2.56 can be expressed in different ways depending on the place value of each digit.

Let's evaluate each option:

2 ones + 5 tenths + 6 hundredths: This representation correctly shows 2 ones, 5 tenths, and 6 hundredths, which sums up to 2.56.

02 ones + 56 tenths: This representation is not accurate since the leading zero in the ones place does not affect the value of the number. Therefore, this option is incorrect.

2 ones + 50 tenths + 6 hundredths: This representation is accurate as it includes 2 ones, 50 tenths, and 6 hundredths, which totals to 2.56.

25 tenths + 6 hundredths: This representation is incorrect as it only accounts for tenths and hundredths, not including the ones place. Thus, this option does not correctly represent the number 2.56.

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The measure of angle Z1 is equal to 3 times the value of x, and the measure of Angle Z2 is equal to x plus 72.

The measure of angle Z1 is equal to 3 times some value x, and the measure of angle Z2 is equal to the sum of that value x and 72.

To clarify, it seems that we are dealing with two angles, Z1 and Z2, and their measures are expressed in terms of a variable x.

the given information:

- mZ1 = 3x

- mZ2 = x + 72

These equations indicate that the measure of angle Z1 is equal to 3 times the value of x, and the measure of angle Z2 is equal to x plus 72.

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Answer: 5:7

Step-by-step explanation:

If it uses 5 gallons every 7 miles, that's literally the answer in itself.

Answer: 1.4 MPG (Miles per Gallon)

Step-by-step explanation:

Divide 7 miles by 5 gallons to get 1.4 MPG

Miles/Gallons = MPG

                 7/5 = 1.4

Done! :)

The graph that represents the given inequalities are attached below.

To find the solution graph of the inequalities y ≤ x² + 1 and x > y²  – 5, you would first graph the equations y = x²  + 1 and x = y²  – 5 separately.

The inequality [tex]y \leq x^2 + 1[/tex] represents the shaded region below the graph of the equation y = x²  + 1.

This region includes the curve and all the points below it.

The inequality x > y²  – 5 represents the shaded region to the right of the graph of equation x = y²  – 5. This region includes the curve and all the points to the right of it.

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Answer:

9

Step-by-step explanation:

so basically, the paragraph states that he has 63 apples and wants to divide them between 7 kids

This shows a clear example of simple division

In this case...

63 divided by 7 equals 9

I hope this helps!!

Answer: He would give 9 apples to each kid.

Step-by-step explanation:

We are given that Samuel has 63 apples.

We are also given that he wants to divide them between 7 kids.

To solve this you would create a division problem:

63 ÷ 7 = ?

You can solve this by completing long division or using a calculator.

You find that 7 * 9 = 63

63 ÷ 7 = 9

You can also draw 63 apples (or circles) and divide them into 7 groups. The result will be that each group will have 9 apples.

Answer:

Explanatory variable: Years of experience

Response Variable: Annual insurance rates

Step-by-step explanation:

As the years of experience increase, the annual insurance sales also increase. So annual insurance rates depend on the years of experience.

Consequently, years of experience is the explanatory variable while insurance rates is the response variable

Answer:

Step-by-step explanation:

Children: x

Adults: y

x+y=350 and 1.5x+4y= 950

Solving the system of equations we get: x=180 and y=170

Let's use the following variables:

Let's call the number of children who entered the park "c"

Let's call the number of adults who entered the park "a"

We can set up two equations based on the information given:

The total number of people who entered the park is 350:

c + a = 350

The total admission fees collected is $950:

1.5c + 4a = 950

We can use the first equation to solve for one of the variables in terms of the other:

c = 350 - a

Now we can substitute this expression for "c" into the second equation:

1.5(350 - a) + 4a = 950

Expanding and simplifying:

525 - 1.5a + 4a = 950

2.5a = 425

a = 170

We can use this value to solve for "c" using the first equation:

c + 170 = 350

c = 180

Therefore, 180 children and 170 adults were admitted to the park.

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As the sun moves closer to the ground, the new triangle formed will be congruent with the one shown in the picture.

Congruency refers to sameness and in the case of triangles it means similarity between the sides of the triangle. This means that the opposite, adjacent, and hypotenuse of the triangle are all similar to each other.

In the picture, we see that the original triangle has the hypotenuse by the right, the opposite on the left side, and the adjacent part below. As the sun comes down it assumes the same shape.

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The Probability of no snow that the barometric pressure is dropping.

The formula that represents the probability "The probability that it will not snow this evening conditional on the barometric pressure dropping" is P(¬S | B).

In this formula:

- P(¬S | B) represents the probability of "not snowing (¬S)" given that "the barometric pressure is dropping (B)."

- The vertical bar | indicates conditional probability.

This formula calculates the likelihood of it not snowing this evening when we know that the barometric pressure is dropping. It considers the condition of the barometric pressure dropping and calculates the probability of it not snowing under that condition.

It's important to note that the symbol ¬ represents negation or "not," and in this context, ¬S represents "not snowing." Therefore, P(¬S | B) quantifies the probability of it not snowing given that the barometric pressure is dropping Conditional probability allows us to adjust the likelihood of an event based on the occurrence of another event. In this case, we are interested in determining the probability of no snow given the information that the barometric pressure is dropping.

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After 10 years with a Compound interest rate of 1.9%, the amount in Carrie's account will be approximately $1777.87.

The amount that will be in Carrie's account after 10 years with compound interest, we can use the formula Pt = P0 ⋅ (1 + r)^t.

Given:

P0 = $1480 (initial deposit)

r = 1.9% = 0.019 (interest rate as a decimal)

t = 10 (number of years)

Substituting these values into the formula, we get:

Pt = $1480 ⋅ (1 + 0.019)^10

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

(1 + 0.019)^10 ≈ 1.201223

Now we can calculate the final amount in Carrie's account:

Pt ≈ $1480 ⋅ 1.201223

Pt ≈ $1777.87

Therefore, after 10 years with a compound interest rate of 1.9%, the amount in Carrie's account will be approximately $1777.87.

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The equivalent value of the equation A = 1 + 1 = 2

Given data ,

Let the equation be represented as A

Now , the value of A is

A = one plus one

On writing the expression in numerical form , we get

A = 1 + 1

On simplifying , we get:

And , the number line representation of the equation is

The "=" sign and terms on both sides must always be present when writing an equation.

A = 1 + 1 = 2

Therefore , the value of A is 2

where the value of A can be calculated from the distributive property as

A = 2 x 1

On simplifying the expression , we get

A = 2

Therefore , the value of A = 2

Hence , the equation is A = 2

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The total number of possible quadrilaterals is 2,380 - 12 - 168 = 2,200.

To count the number of possible quadrilaterals with vertices at these points, we need to consider the different combinations of points that form the quadrilaterals.

To do this, we can use the formula for the number of combinations of k items from a set of n items, which is n choose k, denoted as nCk.

First, we need to choose 4 points from the total of 4+6+7=17 points. This is equivalent to calculating 17C4 = (17x16x15x14)/(4x3x2x1) = 2,380.

However, not all combinations of 4 points will form a quadrilateral. Some combinations may form a line or a triangle instead. We need to subtract the number of combinations that form a line or a triangle.

For a line, there are 3 choices of lines to choose from and 4 points on each line, so there are 3x4 = 12 combinations that form a line.

For a triangle, there are also 3 choices of lines to choose from, and we need to choose 1 point from each line.

This is equivalent to 4C1 x 6C1 x 7C1 = 4x6x7 = 168 combinations.

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Answer:

Step-by-step explanation:

let total number of assessments = x

45% of total assessments = 27

(45/100)*x =27

x=60

Answer:

5270 m

Step-by-step explanation:

It first went down 3775 m.

The it went down 1495 (2890 - 1395)

3775 + 1495 = 5270

Answer:

dived 5270 below sea level

total distance traveled is 8060

Step-by-step explanation:

-3775+1395-2890

3775+1395+2890

The statement that is not true is (a) A = 74 degrees

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

The dilation of ABC by a scale factor of 2

This means that

Scale factor = 2

The general rule of dilation is that

using the above as a guide, we have the following:

AC = 2 * 5 = 10

C = 53 degrees

BC = 2 * 3 = 6

A = 37 degrees

Hence, the statement that is not true is (a) A = 74 degrees

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