Doctors sometimes use this formula to calculate how much medicine to give a child. A child who is 4 years old needs some medicine. The amount for an adult is 20 ml. Use the formula to work out the correct amount for this child.

The test that will allow you to analyze the differences in blood pressure between groups, after adjusting for age is the one way ANOVA test.

One-way analysis of variance is a statistical approach that can be used to determine if the means of two samples are substantially different or not. One-way ANOVA ("analysis of variance") examines the means of two or more independent groups to see if there is statistical evidence that the related population means differ significantly.

One-way ANOVA is commonly employed when there is a single independent variable, or factor, and the purpose is to determine whether fluctuations or various amounts of that factor have a measurable effect on a dependent variable. This van be used to illustrate the relationship.

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Answer:

240 students

Step-by-step explanation:

If 84 represents 35% then 100%=(84/35)(100)

240 students

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Explanation:

We can use the SSS congruence theorem to prove triangle WZX is congruent to triangle YZX. Then that leads to angle WZX = angle YZX.

In short, we've proven that ZX bisects angle WZY. Similarly, segment WY cuts angle XYZ in half. The proof is the same idea as mentioned in the first paragraph. For any rhombus, the diagonals always bisect the angles inside the rhombus.

Also, for any rhombus, the adjacent angles are supplementary.

So,

(angle WZY) + (angle XYZ) = 180

(angle WZY) + (136) = 180

angle WZY = 180 - 136

angle WZY = 44 degrees

Then we cut this in half to get the measure of angle XZY

angle XZY = (angle WZY)/2

angle XZY = (44)/2

angle XZY = 22 degrees

Set this equal to the 10x-8 expression and solve for x.

10x-8 = 22

10x = 22+8

10x = 30

x = 30/10

x = 3

The distance between 2 endpoints on a coordinate grid can be calculated using the following formula;

The correct answer therefore is option D;

c^2= 16 + 144

Simple linear regression is a statistical technique used to model the relationship between two variables by fitting a straight line to the data. It provides a way to predict or estimate the value of one variable (dependent variable) based on the value of another variable (independent variable).

In simple linear regression, the relationship between the independent variable (x) and the dependent variable (y) is represented by a straight line. The goal is to find the best-fitting line that minimizes the differences between the observed values of the dependent variable and the predicted values from the regression line.

A graph illustrating simple linear regression includes the scatterplot of the data points, the regression line, and the residuals. The scatterplot shows the individual data points with the independent variable on the x-axis and the dependent variable on the y-axis. The regression line is the line that best fits the data, minimizing the sum of the squared residuals.

Residuals are the vertical distances between the observed data points and the regression line. They represent the differences or errors between the actual values and the predicted values. By examining the residuals, we can assess how well the regression line fits the data. If the residuals are randomly scattered around zero, it suggests that the linear regression model is appropriate. If there is a pattern or systematic deviation in the residuals, it indicates that the model may not be capturing the underlying relationship accurately.

The regression line is constructed by minimizing the sum of the squared residuals, which is known as the least squares method. This ensures that the line represents the best linear approximation of the relationship between the variables.

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Answer:

cost price of the bat: $3130.43

Step-by-step explanation:

3600/1.15 = 3130.43

Hope this helps

The circumference of the circle is 12.56 km

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

Shape = Circle

Radius = 2 km

The circumference of a circle is the perimeter of the circle

i.e. the sum of the units of the arc that surrounds the circle

The circumference equation is represented as

Circumference = 2πr

Substitute the known values in the above equation, so, we have the following representation

Circumference = 2π * 2 km

Evaluate the products in the equation

So, we have

Circumference = 4π km

Substitute π = 3.14

So, we have

Circumference = 4 * 3.14 km

Evaluate

Circumference = 12.56 km

Hence, the circumference is 12.56

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Answer:

$1440

Step-by-step explanation:

$3000 (12%) = 360

360 x 4 = 1440

Hope this helps!

Answer:

1711568

Step-by-step explanation:

184*9302 = 1711568

Use a calculator to check your work

Answer:

B hope that help

Step-by-step explanation:

Answer:

a) y= 60+ 5x

b) 9 bids

Step-by-step explanation:

a) the function is y= 60+ 5x

b) 105= 60 + 5x

45= 5x

x= 45/5

x=9

there were 9 bids

Answer:

a: y = 5x + 60

b: 9 times

Step-by-step explanation:

105 = 5x + 60

-60           -60

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

45 = 5x

÷5   ÷5

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

9 = x

Answer:

Since the only even prime number is 2, we can say that its reciprocal is 1 2 \dfrac{ 1 }{ 2 } 21​. By checking, we get 2 × 1 2 = 1 2 \times \dfrac{ 1 }{ 2 } = 1 2×21​=1.

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

The condition that is not met is that the sample size must be large enough to assume that the sample proportions are normally distributed.

Number is a mathematical object used to count, measure, and label. It is one of the fundamental building blocks of mathematics and is essential for any kind of calculation or measurement. Number is an abstract concept that is used in many different ways, from counting objects to expressing complex mathematical systems. Numbers can be used to represent anything from a single item to the entire universe. Numbers are also used to represent abstract ideas such as time, money, and probability.

With a sample size of only 25, it is not possible to assume that the sample proportions follow a normal distribution. As such, calculating a confidence interval for the population proportion of bags with too much salt is not possible.

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Complete questions as follows-
sapling a quality control inspector takes a random sample of 25 bags of potato chips from the thousands of bags filled in an hour. of the bags inspected, 3 had too much salt. which of the conditions for calculating a confidence interval for the population proportion of bags with too much salt is not met?

Answer: it’s 12

Step-by-step explanation:

You want to take $0.85 and multiply it by 3 for the 3 peaches and you get $2.55 then you do $3.50-2.55= $0.95

(I can't show the angle symbol thing so I'll just say the name)

We have : QPS = TPR
And we have to prove : QPR = TPS

QPR + RPS = QPS
TPS + RPS = TPR

Since QPS = TPR, QRP + RPS = TPS + RPS

Minus both side by RPS :     QRP = TPS

Or, if your money is earning a 5 percent interest rate, you'll double it in 14.4 years (72 divided by 5 equals 14.4). If your money is earning a measly 1 percent interest rate, it will take you—yep, you guessed it—a whopping 72 years to double it.

Organizational culture is defined as the common beliefs, values, attitudes, customs, behaviors, and traditions that characterize a specific organization and determine the manner in which it functions. Organizational culture is set by the manager.

In a corporate or business environment, organizational culture can influence the daily operations of employees. It is the responsibility of managers to create a positive culture that emphasizes teamwork, respect, integrity, and accountability. The manager is an essential individual responsible for establishing and maintaining the organization's culture, which will ultimately define the employee's attitudes, behaviors, and productivity levels. He or she sets the tone for the workplace by creating an environment that fosters collaboration, innovation, and success. Employees need to feel connected to their workplace and colleagues to be motivated to do their best work. If a manager promotes a culture of fear, competition, or dishonesty, employees may become unmotivated or unproductive. An effective manager understands the importance of creating a positive workplace culture and works hard to establish and maintain it. Managers can establish a positive culture by encouraging open communication, providing regular feedback and recognition, fostering a sense of teamwork, creating opportunities for professional development, and setting high standards for performance. Managers must lead by example and demonstrate the behaviors and attitudes that they expect from their employees. They must hold themselves and others accountable for their actions, communicate expectations clearly, and provide support when needed. A positive organizational culture will enable an organization to attract and retain top talent, increase employee engagement, and promote collaboration and innovation.

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Proof of AB is parallel to DC is given below.

Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.

Proof:

Definition of parallel lines.

Triangle congruence implies corresponding angles are congruent.

The sum of angles in a triangle is 180 degrees.

Alternate interior angles formed by a transversal intersecting parallel line are congruent.

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Answer:

2 added to cube of 5 times x

Step-by-step explanation:

Answer:

2 plus cube 5 times.

cube = (³).

times = (multiplying).

Answer:

The length of the border is approximately 4 feet.

Step-by-step explanation:

Since the garden has a circular border we can apply the formula for the circle's length, which is shown below:

\(length = 2*\pi*radius\)

Where the radius is half the diameter. The diameter is the distance between two points in the circle going through the center, therefore for this garden the diameter is 1.2 feet and the radius is 0.6 feet. Applying this to the formula gives us:

\(length = 2*\pi*0.6\\length = 1.2*\pi\\length = 3.8\)

The length of the border is approximately 4 feet.

The translation of the polygon is 8 units to the left.

Since,

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

Given data ,

Let the polygon be represented as ABCD

Now , the coordinates of the polygon is given as

The coordinate of A = A ( 1 , 5 )

The coordinate of B = B ( 3 , 1 )

The coordinate of C = C ( 7 , 1 )

The coordinate of D = D ( 5 , 5 )

Now , the translated polygon is having the coordinates as

The coordinate of A' = A' ( -7 , 5 )

The coordinate of B' = B' ( -5 , 1 )

The coordinate of C' = C' ( -1 , 1 )

The coordinate of D' = D' ( -3 , 5 )

So , the translation rule is ( x , y ) → ( x - 8 , y )

And , the figure is translated 8 units to the left

Hence , the translation is 8 units to the left

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The speeds of the planes are 260 miles/hr and 290 miles/hr respectively.

We know that the velocity or speed is the ratio of total distance to time taken.

Let speed of another plane be x miles per hour.

Now, one plane can travel 30 miles per hour more than previous one.

So the speed of this second plane = x+30 miles per hour.

Time taken by first plane to cover 390 miles = 390/x

Time taken by second plane to cover 435 miles = 435/(x+30)

According to question the time taken is equal. So,

390/x = 435/(x+30)

26/x = 29/(x+30)

26x+780 = 29x

29x-26x = 780

3x = 780

x = 780/3

x = 260

The speed of first plane = 260 miles/hour

The speed of second plane = 260+30 = 290 miles/ hour

Hence the speeds of the planes are 260 miles/hr and 290 miles/hr respectively.

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Answer:

The correct ratio is 7:8, so no, Emma is not correct.

Hello cayleahm253!

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

Okay, so we can see from the question that there are 35 boys & 40 girls in the 6th grade. So the ratio of boys is to girls will be 35:40.

__________________

Solving...

\(35 : 40 \\ = \frac{35}{40} \\ \\ \sf \: Cancel \: out \: 35 \: and \: 40 \: to \: get \: 7 \: and \: 8.\\ \\ = \frac{7}{8} \\ = \huge \boxed{\boxed{\bf \: 7 : 8}}\)

__________________

__________________

Hope it'll help you ッ

ℓucαzz

Answer:

\(y = \frac{7}{4} x - 3 \\ y = x \\ y = \frac{7}{4} y - 3 \\ y - \frac{7}{4} y = - 3 \\ - \frac{3}{4} y = - 3 \\ 3y = 12 \\ y = \frac{12}{3} \\ y = 4 = x\)

Answer:

The answer looks like C.

Step-by-step explanation:

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent. That is how you find which expression is equivalent.

Answer:

C. p^16/q^12

Step-by-step explanation:

The reason why the answer would be p^16/q^12 would be because, that if it is exponents. You always. Always. Subtract or Add depending if its multiplication or subtraction. So p^24-p^8 would be p^16. q^4-q^12 would be q^12.

Therefore, your answer would be p^16/q^12

Answer:

(x+2)(2x+2) = 130

x=6.58m

Step-by-step explanation:

The shape of the whole figure is a triangle. Hence the area of the whole figure is expressed as:

Area = Length * Width

Given

Length = 2 + x + x = 2+2x

Width = 2 + x

Area = 130m²

Substitute the resultng values into the formula;

(2+2x)(2+x)= 130

(x+2)(2x+2) = 130

Expand the bracket:

\(2x^2+2x+4x+4=130\\2x^2+6x+4=130\\\)

Divide through by 2

\(x^2+3x+2=65\\x^2+3x=65-2\\x^2+3x = 63\)

Complete the square by adding the square of the half of the coefficient of x to both sides:

\((x^2+3x+(\frac{3}{2} )^2)=63+(\frac{3}{2} )^2\)

\((x+\frac{3}{2} )^2=63 + \frac{9}{4} \\(x+\frac{3}{2} )^2=\frac{252+9}{4} \\(x+\frac{3}{2} )^2=\frac{261}{4}\\(x+\frac{3}{2} )^2=65.25\)

Take the square root of both sides

\(\sqrt{(x+(\frac{3}{2} ))^2} = \sqrt{65.25}\\x+\frac{3}{2}= 8.078\\x=8.078-1.5\\x=6.58m\)

Hence the value of x is 6.58m