Fiona interviewed her 30 classmates on whether or not they have a sibling and if they have assigned chores at home. She displayed her results in the table shown. Which statement is true?

A. More only children do not have chores than those with a sibling.

B. Half of her classmates have a sibling, and half do not.

C. Fewer classmates have chores than don't have chores.

D. More than half of her classmates are only children.

Answer:

-12

Step-by-step explanation:

Parentheses first 4.5-5.125=-0.625

7.5/-0.625=-12

Answer:

D due to the calculation conducted

Respuesta:

15

Explicación:

Primero vamos a calcular el area de la pared, entonces:

Area Pared = Ancho x Alto

Area Pared = 24 ft x 10 ft

Area Pared = 240 ft²

Ahora debemos calcular el area total que ocupan las ventanas.

El area de cada ventane es igual a:

Area Ventana = Ancho x Alto

Area ventana = 4 ft x 3 ft

Area ventana = 12 ft²

Entonces, el area total de las 3 ventanas es:

Area Total ventanas = 3 x 12 ft²

Area Total Ventanas = 36 ft²

Finalmente para calcular el porcentaje, debemos dividir el area total de las ventanas entre el area de la pared y luego multiplicar por 100:

Por lo tanto, las ventanas son el 15% de la pared.

Answer:

\(\large\fbox{\green{\underline{Cylinder P :- \blue{ 794.0275 in ³}}}}\)

\(\large\fbox{\green{\underline{Cylinder Q :- \blue{1,307.81 in³}}}}\)

Step-by-step explanation:

Volume of cylinder = π × ( radius ) ² × h

1.) Here, radius = 4.25 in and height = 14 in.

Volume of cylinder = π × ( radius ) ² × height

substitute the values

Volume of cylinder P = 3.14 × ( 4.25 in ) ²×14 in.

now, simplify

= 3.14 × 18.0625 in²× 14 in.

= 3.14 × 252.875 in³

multiplying the value

= 794.0275 in³

\( \small \: \: \sf \: \fbox{ cirumference \: of \: cylinder \: P \: = {794.0275 in³}}\)

2.) Here, radius = 7 in. and height = 8.5 in.

Volume of cylinder Q = π × ( radius ) ² × height

substitute the values

Volume of cylinder Q = 3.14 × ( 7 in )² × 8.5 in.

Simplify

= 3.14 × 49 in² × 8.5 in.

multiply the values

= 3.14 × 416.5 in³

\( \small \sf \fbox{Volume of cylinder Q = 1,307.81 in ³}\)

The output of the following code snippet will be 1, 2, 3, and 4.

The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:

Step 1: Assign 1 to x.x = 1

Step 2: Start an infinite loop using the while True statement.

Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.

Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.

Step 5: Print the value of x to the console using the print(x) statement.

Step 6: Increment the value of x by 1 using the x += 1 statement.

Step 7: Repeat steps 3-6 until the break statement is executed.

Therefore, the output of the code will be: 1 2 3 4.

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Answer: 2 units left and 3 units up

Step-by-step explanation:

The correct phrase is option c that is the translation in graph is 2 units right and 3 units up.

What do you mean by translation of a graph ?

The modification of an existing graph or graphed equation to create a different version of the following graph is known as translation.

We know that the translation of any graph or a function meant changing the position from one to another.

It is given that the two functions are :

y  = (x + 2)²

y = x² + 3

Let's check that in what way the first function is translated to second function.

So , the first function can be written as :

y = (x + 2 - 2)²

or

y = x²

Here , the function is translated by 2 units right.

Now , if we add 3 to the above function we get :

y = x² + 3

Here , the function is translated by 3 units up.

Therefore , the correct phrase is option c that is the translation in graph is 2 units right and 3 units up.

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The expression g(f(x)) means that we have to include the funcion f(x) inside g(x).

The given functions are

Then, we find g(f(x)).

If f(x) = x + 2, and g(x) = 1/x , then g(f(x)) = 1/(x+2). So, the correct answer to the given question is 1/(x+2).

Solution :

∵ f(x) = x + 2

& , g(x) = 1/x

So,  the Composition of Functions is :

   gof(x) = g(f(x))

⇒ g(f(x)) = g(x+2)

                = 1/(x+2)

∴g(f(x)) = 1/(x+2)

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Answer:

Her uncle's age = 47 years

Step-by-step explanation:

Sophia = 12 years old

Her Uncle Reynald tells her that if she adds 5 to her age,

= 12 + 5

multiplies the sum by 3

= (12 + 5) × 3

and then subtracts 4 from the product

= {(12 + 5) × 3} - 4

she will find his age

{(12 + 5) × 3} - 4

= (17 × 3) - 4

= 51 - 4

= 47

Her uncle's age = 47 years

Sophia wrote:

12 + 5 × 3 − 4

Using PEMDAS

P - product

E - exponent

M - multiplication

D - division

A - addition

S - subtraction

Sophia's expression can be written as = 12+(5*3)-4

= (12 + 15) - 4

= 27 - 4

= 23

Sophia's expression is wrong

To estimate the proportion of all new cell phone batteries that fail to last through a claimed number of charges, a consumer group will use a random sample and construct a percent confidence interval based on the proportion of batteries that fail to last through the charges in the sample.

To construct a confidence interval to estimate the proportion of all such batteries that fail to last through charges, the following steps can be followed:

Determine the sample size:

The consumer group should select a random sample of cell phones with the new battery and use the phones through charges of the battery.

The sample size should be determined based on the desired level of precision and confidence level.

A larger sample size will provide a more precise estimate.

Calculate the sample proportion:

The consumer group should record the proportion of batteries that fail to last through charges in the sample.

Calculate the standard error:

The standard error can be calculated using the formula:

\(SE = \sqrt{(p_hat * (1 - p_hat) / n) }\)

where \(p_hat\) is the sample proportion and n is the sample size.

Calculate the margin of error:

The margin of error can be calculated using the formula:

ME = z * SE

where z is the critical value from the standard normal distribution corresponding to the desired confidence level.

For example, if the desired confidence level is 95%, then z = 1.96.

Calculate the confidence interval: The confidence interval can be calculated using the formula:

\(CI = (p_hat - ME, p_hat + ME)\)

This interval represents the range of values within which the true proportion of batteries that fail to last through charges is expected to fall with the desired level of confidence.

For example, suppose a random sample of 100 cell phones with the new battery is selected, and the proportion of batteries that fail to last through charges is found to be 0.10. If a 95% confidence level is desired, the standard error can be calculated as:

SE = \(\sqrt{(0.10 * 0.90 / 100)}\) = 0.03

The margin of error can be calculated as:

ME = 1.96 * 0.03 = 0.06

The 95% confidence interval can be calculated as:

CI = (0.10 - 0.06, 0.10 + 0.06) = (0.04, 0.16)

Therefore, we can say with 95% confidence that the proportion of all such batteries that fail to last through charges is expected to be between 0.04 and 0.16.

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Answer:

$30

Step-by-step explanation:

Just multiply

Answer:

$30

Step-by-step explanation:

7.5 x 4= 30

Answer:

7 hours and 30 minutes

Step-by-step explanation:

\(240 \div 4 = 60km \: per \: h\)

\(450 \div 60 = 7.5 = 7h \: 30min\)

It will take motor bike 7.5 hours to cover 450 Km of distance.

Speed of a body is defined as the distance travelled by it per unit time taken to cover the distance.

Mathematically-

S = Δd/Δt  or   S = {d(2) - d(1)}/{t(2) - t(1)}

It is a scalar quantity as it only has magnitude and no direction.

Given is a motor bike travels 240 km ins 4 hours.

We can calculate the speed of the bike as -

s = 240/4 = 60 Km/hr

Then, the time taken to cover 450 Km will be -

t = 450/60

t = 7.5 hours

Therefore, it will take motor bike 7.5 hours to cover 450 Km of distance.

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Answer:

Step-by-step explanation:

the anser is D

The concept that relates how much one variable changes as another variable changes is Slope.

Slope is a numerical representation of how inclined a line is with respect to the horizontal. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run").

The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope. The slope expresses how quickly the dependent variable changes when the independent variable changes. The Greek capital letter D or D is frequently used by mathematicians and economics to represent change. Slope contrasts changes in y or the vertical axis with changes in x or the horizontal axis.

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The standard error of the distribution of sample proportions is 0.032.

option C is the correct answer.

The standard error of the distribution of sample proportions is calculated as follows;

S.E = √(p (1 - p)) / n)

where;

The standard error of the distribution of sample proportions is calculated as;

S.E = √ ( 0.1 (1 - 0.1 ) / 90 )

S.E = 0.032

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The trace of water left on the floor is the circumference of 565.2 cm.

Water traces are seen on the floor from a wet bicycle tire.

The bicycle wheel makes three complete rotations before coming to a stop, circumference  and the tire has a radius of 30 cm.

The circle of the cycle is indicated by the water stain left on the floor.

Given the radius = 30 cm

So,

C = 2 × 3.14 × 30

C = 188.4

Given that a bicycle wheel turns three times before pausing to pick up a trace of water, the answer is,

3 x 188.4 = 565.2 cm

the floor has a 565.2 centimeter trace of water.

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Answer:

The distance between point M and point N is 13.

Step-by-step explanation:

By Analytical Geometry, we know that straight line distance between two coplanar points can be determined by the Distance Equation of a Line Segment (\(l_{MN}\)), which is an application of the Pythagorean Theorem:

\(l_{MN} = \sqrt{(x_{N}-x_{M})^{2}+(y_{N}-y_{M})^{2}}\) (1)

Where:

\(x_{M}, x_{N}\) - x-Coordinates of points M and N.

\(y_{M}, y_{N}\) - y-Coordinates of points M and N.

If we know that \(M(x,y) = (-6,5)\) and \(N(x,y) = (7,5)\), then the distance between point M and point N is:

\(l_{MN} = \sqrt{[7-(-6)]^{2}+(5-5)^{2}}\)

\(l_{MN} = 13\)

The distance between point M and point N is 13.

Answer:

-1 all the way to 5

Step-by-step explanation:

k/2 is always greater than -2

When m2 = m3, it implies that the slopes of line segments 2 and 3 are equal. This condition indicates that line segments 2 and 3 are parallel.

In geometry, the slope of a line represents its steepness or inclination. When two lines have the same slope, it means that they have the same steepness or inclination, and therefore, they are parallel.

In the given context, the statement "m2 = m3" suggests that the slopes of line segments 2 and 3 are equal. This implies that both line segments have the same steepness and direction, indicating that they are parallel to each other.

The slope of a line can be determined by comparing the ratio of the vertical change (change in y-coordinates) to the horizontal change (change in x-coordinates). If two lines have the same ratio of vertical change to horizontal change, their slopes will be equal, and they will be parallel.

Therefore, when m2 = m3, we can conclude that the line segments corresponding to m2 and m3 are parallel to each other.

The correct question should be :

Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.

When m2 = m3

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Answer:

-1.5

Step-by-step explanation:

m=-6/4

m=-3/2

-1.5

Answer:

-3/2

Step-by-step explanation:

[4-(-2)] / [1-5] = 6 / -4 = -3/2

Answer:

y=3x

Step-by-step explanation:

Number of plates Aaliyah makes=x

Amount of clay she uses (in pounds)= y.

There is a proportional relationship between x and y: y=mx

To make 2 plates, Aaliyah uses 6 pounds of clay.

Therefore:

Substituting the given values into the proportional relationship y=mx, we obtain:

6=2m

Divide both sides by 2

m=3

Therefore, the equation for the relationship between x and y is:

y=3x, where 3 is our constant of proportionality.

Answer:

\(Sum = 32\)

Step-by-step explanation:

Given

Sequence = Consecutive Odds

\(T_7 = 9\)

Required

The sum of the terms

A sequence of odd number has a difference of 2. So, the sequence is represented as:

\(S = \{-3,-1,1,3,5,7,9,11\}\)

Add up all terms in the sequence

\(Sum = -3-1+1+3+5+7+9+11\)

\(Sum = 32\)

Answer:thfhamdjta

Step-by-step explanation:

The required product of 342 and 38 is 12,996.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

First, we write the two numbers vertically, with the one digit of 342 on the bottom and the one digit of 38 on the right.

Next, we multiply the one digit of 342 (2) by the one digit of 38 (8), which gives 16. We write the one digit of this result (6) under the line and carry the tens digit (1) to the next column,

   3  4  2

 ×    3  8

_________

     12996

Therefore, the product of 342 and 38 is 12,996.

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In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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Nolan bought 2 apples and 10 bananas.

To solve this problem form the system of equations first, then solve them to find the values of the variables.

Nolan bought 2 apples and 10 bananas.

It's given that,

Nolan and his children bought fruits (Apples and bananas) worth $8.

Cost of each apple and bananas are $2 and $0.40 respectively.

Let the number of bananas he bought = y

And the number of apples = x

Therefore, cost of the apples =$2x

And the cost of bananas = $0.40y

Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)

Equation representing the total cost of fruits will be,

(2x + 0.40y) = 8

10(2x + 0.40y) = 10(8)

20x + 4y = 80

5x + y = 20 --------(1)

If he bought 5 times as many bananas as apples,

y = 5x ------(2)

Substitute the value of y from equation (2) to equation (1),

5x + 5x = 20

10x = 20

x = 2

Substitute the value of 'x' in equation (2)

y = 5(2)

y = 10

Therefore, Nolan bought 2 apples and 10 bananas.

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Full Question ;

Nolan and his children went into a grocery store and he bought $8 worth of apples

and bananas. Each apple costs $2 and each banana costs $0.40. He bought 5 times as

many bananas as apples. By following the steps below, determine the number of

apples, 2, and the number of bananas, y, that Nolan bought.

Answer:

214200

Step-by-step explanation:

Answer:

I don't speak Spanish sorry༼ つ ◕_◕ ༽つ/_ \

Given:

To find:

The solution.

Explanation:

Using the Cramer's rule,

Let us find the value of x and y.

Therefore, the solution is (-5, 2).

Final answer:

The value of x is -5 and the value of y is 2.

The solution is (-5, 2).