Please I need help.
Find the sum of the interior angles of the figure below.

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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The correct answer is d. standard error.the standard deviation of a sampling distribution of sample means is referred to as the standard error.

The standard deviation of a sampling distribution of sample means is commonly referred to as the standard error. It represents the variability or dispersion of the sample means around the population mean. The standard error quantifies the precision of the sample mean as an estimate of the population mean.

The sampling distribution of sample means is a theoretical distribution that shows the distribution of sample means obtained from multiple random samples of the same size taken from a population. It is an essential concept in inferential statistics, particularly when estimating population parameters.

The standard error is calculated by dividing the standard deviation of the population by the square root of the sample size. Mathematically, it is represented as:

Standard Error = (Population Standard Deviation) / √(Sample Size)

The standard error measures the average amount of deviation or error between the sample means and the population mean. A smaller standard error indicates less variability and greater precision in estimating the population mean. On the other hand, a larger standard error implies more variability and less precision.

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I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Step-by-step explanation:

100000/(4*9) = 2777.7

2777*36 =99972 is the largest 5-digit number divisible by 4 and 9.

Answer:

Step-by-step explanation:

The numbers 4 and 9 have no common factors so we are looking for the largest 5 digit number that is a multiple of 4*9 = 36.

The largest 5- digit number is 99999.

Divide this by 36 and take the whole part of the quotient:

2777 is the number we need.

Multiply this by 36 to get the required number:

Answer:

Lol same

Step-by-step explanation:

alright ima try uhm i think they have 3 children every 2 years so times 3 children with 2 years untill u get 21?

Answer:

ok this is what I think the first child we'll take his or her age to beX the second child will be x+ 2 and the third child will be x + 4 so it's means to get the ages you have to add all of them and quit it to 21 so it will be x + x + 2 + x + 4 is equals to 21 collect the like terms x + x + x + 2 + 4 is equals to 21 3x + 6 is equals to 21 sum of 6 over the equals sign to have 3x is equals to 21 - 6 3 x is equals to 15 divide both sides by 3 so x is 5 then substitute

For the first function, the coordinates of A are (0, 1).

The equation of circle B is (x -4)^2 + y^2 = 25

And the circle intercepts the x-axis at:

(9, 0) and (-1, 0)

We have the equation:

y = a^x

And we know that A is the y-intercept of that equation, remember that the y-intercept is the point such that x = 0, so the y-coordinate will e:

y = a^0 = 1

So the y-intercept (point A)  is the point (0, 1).

We start with the circle:

x^2 + y^2 = 25

And we apply a translation of 4 units to the right, so we write this as:

(x - 4)^2 + y^2  = 25

c) The circle intercepts the x-axis when y = 0, then:

(x - 4)^2 + 0^2 = 25

x - 4 = ±√25

x - 4 = ±5

x = 4 ± 5

Then the two points where the circle intercepts the x-axis are:

(9, 0) and (-1, 0)

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If the whole diameter of sphere is 6 inch(means radius is 3 inch) & thickness of material is 1 inch, so the radius of the hollow part should be 2 inch (3-1=2)

The total volume of the ball will be;

= Total volume - Volume of hollow part

= 4/3πr³ - 4/3πr³

= 4/3 × 3.14 × (3)³ - 4/3×3.14×(2)³

= 4 × 3.14 × 9 - 4/3 × 3.14 × 8

= 113.04 - 33.52

= 79.52

If the density of the material is 3.25 g/in3, then the density of 79.52 inch³ should be;

= 79.52 × 3.25

= 258.44 g

Now, if there are 8 spheres in one box, the weight if box will be;

= 258.44 × 8

= 2,067.52 g

_____________________________

Ahh! Finally done with this, if you have any doubt just do ask me :)

The percentage of red blood cells in a sample of human blood is typically around 45%.

Red blood cells, also known as erythrocytes, are the most abundant cells in human blood and play a crucial role in transporting oxygen to various tissues and organs. The percentage of red blood cells in a blood sample is referred to as the hematocrit.

In healthy individuals, the normal range for hematocrit is generally around 40% to 52% for males and 36% to 48% for females. This means that red blood cells make up approximately 40% to 52% (or 36% to 48% in females) of the total volume of blood.

Among the given answer choices, the closest percentage to the typical range for hematocrit is 45%. This value falls within the expected range and represents a reasonably accurate estimation of the percentage of red blood cells in a sample of human blood.

It's important to note that the percentage of red blood cells can vary depending on various factors, including age, sex, health conditions, and altitude. For example, individuals living at high altitudes may have a higher hematocrit due to the body's adaptation to lower oxygen levels. Conversely, certain medical conditions or diseases can cause deviations from the normal range.

Therefore, while the approximate value of 45% is a good estimation for the percentage of red blood cells in a sample of human blood, it's important to consider individual variations and consult medical professionals for accurate assessments in specific cases.

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Answer:

Step-by-step explanation:

The relation is not a function!

The equivalent system after multiplying the third equation by 1/3 is:

4x - 14y + 2z = 12    ...(1)

8x - 15y + 11z = 56   ...(2)

x - 2y + (11/3)z = 5  ...(4)

The given system of equations is:

4x - 14y + 2z = 12    ...(1)

8x - 15y + 11z = 56   ...(2)

3x - 6y + 11z = 15    ...(3)

To obtain an equivalent system by multiplying the third equation by 1/3, we can multiply both sides of equation (3) by 1/3, like this:

(1/3)(3x - 6y + 11z) = (1/3)(15)

Simplifying this equation, we get:

x - 2y + (11/3)z = 5    ...(4)

So the equivalent system after multiplying the third equation by 1/3 is:

4x - 14y + 2z = 12    ...(1)

8x - 15y + 11z = 56   ...(2)

x - 2y + (11/3)z = 5  ...(4)

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a)There are 15,120 agent arrangements where order is important.b)The number of agent arrangements where order is not important is 1.

(a) When order is important, we are looking for the number of permutations. To calculate the number of agent arrangements for the 5 new customers, we use the formula:

nPr = n! / (n-r)!

where n is the number of agents (9), r is the number of customers (5), and ! represents the factorial.

9P5 = 9! / (9-5)!
= 9! / 4!
= 15,120

There are 15,120 agent arrangements where order is important.

(b) When order is not important, we are looking for the number of combinations. In this case, since each customer must be assigned an agent, there's only one way to distribute the agents, as all customers will receive service regardless of agent order. Therefore, the number of agent arrangements where order is not important is 1.

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Answer:

27

Step-by-step explanation:

162/30=5.4

5.4*5=27

Answer:

the answer is 27

Step-by-step explanation:

Answer:

Area is 288.

To find the area of a shape you have to multiply. 18 x 16 = 288.

The correct option for the difference is in an observational study, the researchers do not control treatment, and in an experiment, they do.

An experiment is a technique that is carried out to support or reject a hypothesis, or to test the efficacy or probability of something.

The basic difference between an observational study and an experiment:

Hence, the correct option for the difference is in an observational study, the researchers do not control treatment, and in an experiment, they do.

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Answer:

100

Step-by-step explanation:

angles CHF and EHI are congruent angles because CD is a straight line.

Therefore EHI must be 20 degrees.

angles DIG and EIH are congruent angles because CD is a straight line.

Therefore EIH must be 60 degrees.

Now that you know two of the three angles in the triangle HEI,

Total degrees in a triangle - EIH - EHI = HEI

180 - 60 - 20 = 100

Answer: \(x=5\)

Step-by-step explanation:

Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).

Answer:

1,2, and 4

Step-by-step explanation:

See worksheet.

Step-by-step explanation:

sqrt (5/3)  = sqrt 5 / sqrt 3    

  multiply by ONE in the form   sqrt (3) / sqrt 3

      sqrt 5 / sqrt 3    *    sqrt 3 / sqrt 3

             = sqrt 15 / 3    

Or maybe you meant  

  sqrt (5) / 3  =  .745

To find the extreme values of the function f(x,y,z)=xy^2z subject to the constraint x^2+y^2+z^2=16, we can use Lagrange multipliers.

First, we write the Lagrangian function: L(x,y,z,λ)=xy^2z+λ(x^2+y^2+z^2-16).

Next, we take the partial derivatives of L with respect to x, y, z, and λ:

∂L/∂x=y^2z+2λx=0
∂L/∂y=xz^2+2λy=0
∂L/∂z=xy^2+2λz=0
∂L/∂λ=x^2+y^2+z^2-16=0

We then solve these four equations for x, y, z, and λ simultaneously.

Substituting the value of λ from the fourth equation into the first three equations yields:

y^2z-16x=0
xz^2-16y=0
xy^2-16z=0

We can use these equations to solve for x, y, and z.

Therefore, the extreme values of the function f(x,y,z)=xy^2z subject to the constraint x^2+y^2+z^2=16 can be found using Lagrange multipliers.

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The answer is C.........

In standard or decimal notation, the number 8.47 x 10^12 is written as 847 x 10^10. So there are 10 zeroes included in the standard or decimal notation of 8.47 x 10^12.

To convert from scientific notation to standard notation, we move the decimal point to the right or left by the number of places specified by the exponent . The exponent tells us how many places the decimal point should be moved.

The number 8.47 x 10^12 is written in scientific notation. In scientific notation, a number is expressed as a product of a coefficient and a power of 10. The coefficient is 8.47 in this case, and the power of 10 is 12.

The power of 10 indicates the number of zeros that are included in the number. In this case, 10^12 means 10 multiplied by itself 12 times, which is equal to 10,000,000,000,000.

Therefore, the number 8.47 x 10^12 is equal to 8.47 x 10,000,000,000,000.

= 847 x 10^10

So there are 10 zeroes included in the standard or decimal notation of 8.47 x 10^12.

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The two inequalities that models the situation are as follows:

6x + 14y ≤ 65

x + y > 8

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Marta buys x candles and y books at a store.

Therefore,

Hence, the inequalities are as follows:

6x + 14y ≤ 65

x + y > 8

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The length of the ramp is \(\sqrt{410}\) inches.

According to the question,

We have the following information:

A ramp is elevated to a height of 7 inches from the base. The horizontal distance between the lower end of the ramp and the base is 19 inches.

So, it will be a right-angled triangle.

Now, we can use Pythagoras theorem to find the length of the ramp which is the hypotenuse of the triangle.

Let's denote the length of the ramp to be l, elevated height to be p and horizontal distance to be b.

\(l^{2} =p^{2} +b^{2}\)

\(l^{2} =7^{2} +19^{2}\)

\(l^{2}\) = 49+361

\(l^{2}\) = 410

l = \(\sqrt{410}\) inches

Hence, the length of the ramp is \(\sqrt{410}\) inches.

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Any term of the form -7h + 8g will combine with 7h - 8g and result in zero.

The terms that, when combined with 7h - 8g, will equal zero are of the form k(-7h + 8g),

where 'k' represents any non-zero scalar value.

To find the terms that, when combined with 7h - 8g, will equal zero, we need to determine the value or expression that, when added to 7h - 8g, results in zero.

In other words, we are looking for a term that cancels out the existing terms in 7h - 8g.

One way to approach this is by setting up an equation:

7h - 8g + x = 0

Here, 'x' represents the unknown term we're trying to find.

To isolate 'x', we can rearrange the equation:

x = -7h + 8g

So, any term of the form -7h + 8g will combine with 7h - 8g and result in zero.

This means we can express the terms that equal zero when combined with 7h - 8g as -7h + 8g, multiplied by any non-zero scalar 'k'.

The scalar 'k' allows us to generate multiple terms that satisfy the condition.

Thus, the terms that can be added to 7h - 8g to obtain zero can be represented as:

k(-7h + 8g), where 'k' is any non-zero real number.

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Let's simplify each expression shown in the exercise:

Option a

Given:

You can apply the Product of powers property. This states the following:

Where "b" is the base and "n" and "m" are exponents.

Then, you get:

By definition:

Therefore:

The expression given in Option a is equal to 1.

Option b

Knowing that any number or expression with exponent zero is equal to 1, you get that:

The expression given in Option b is equal to 1.

Option c

Given:

You can notice that the numerator and the denominator are equal, then:

The expression given in Option c is equal to 1.

Option d

Given:

You can simplify it using the Quotient of powers property, which states that:

Then, you get:

The expression given in Option d is not equal to 1.

The answer is: Option d.

$128,000 represents 100%

To find how much is 4% we can use the next proportion:

Solving for x:

Her commission is $5,120

The number of green marbles in the box before the number of green marbles is doubled is given by \($\frac{4 - 4x + 60}{2x - 30}$\\\), where x is the probability of selecting a red marble before the number of green marbles is doubled.

Let the number of green marbles be 'g'.

The probability of selecting a red marble before the number of green marbles is doubled is\($\frac{4}{g+4} * 100 = x\%$\)

The probability of selecting one of the four red marbles from the box after the number of green marbles is doubled is \($\frac{4}{2g+4} * 100 = (x - 15)\%$\)

Rearranging the equations and solving for g, we get:

\(\frac{4}{g+4} * 100 = x$\frac{4}{2g+4} * 100 = (x - 15)$$2g+4 = \frac{4}{x-15}$$g = \frac{4 - 4x + 60}{2x - 30}$\)

Therefore, the number of green marbles before the number of green marbles is doubled is \($\frac{4 - 4x + 60}{2x - 30}\)

The number of green marbles in the box before the number of green marbles is doubled is given by \($\frac{4 - 4x + 60}{2x - 30}$\\\), where x is the probability of selecting a red marble before the number of green marbles is doubled.

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The length of the rectangle shaped sticker of stated dimensions is 8 centimetres.

Rectangle is the four shaped structure with two parallel sides. The area of rectangle is given by the formula -

Area of rectangle = length of the rectangle × breadth of the rectangle

Keep the values in formula to find the value of length of rectangle

56 = length × 7

Rewriting the equation in terms of length to find its value

Length = 56/7

Performing division on Right Hand Side of the equation

Length = 8 cm

Hence, the length of rectangle is 8 centimetres.

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