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The standardized value for x = 2.69 is 0.

The standardized value (z) is given by:

z = (x - mean) / standard deviation

where x is the value to be standardized, mean is the normal distribution's mean, and standard deviation is the normal distribution's standard deviation.

So, for x = 2.69, with a mean of 2.69 and a standard deviation of 4.76, the standardized value (z) is:

z = (2.69 - 2.69) / 4.76 = 0

As a result, the standardized value for x = 2.69 is 0.

Standard deviation is a measure of the spread or dispersion of a set of data values around their mean (average). It provides a quantitative indication of how far apart each data value is from the mean and from each other. A low standard deviation means that the data values are close to the mean, while a high standard deviation indicates that the data values are more spread out.

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The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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The volume of the composite figure in this problem is given as follows:

76 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.

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Given the Quadratic Expression:

You can identify that it has this form:

Then, you can use the Quadratic Formula to find its x-intercepts:

In this case:

Therefore, by substituting values into the formula and evaluating, you get:

Knowing the x-intercepts, you can write the expression in Factored Form:

Hence, the answer is:

Approximately $10,758.90 must be deposited now in the account to have a balance of $20,000 after 15 years, assuming a 3.5% annual interest rate compounded monthly.

To calculate the amount of money that must be deposited now to have a balance of $20,000 after 15 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = final balance ($20,000)

P = principal amount (initial deposit we want to find)

r = annual interest rate (3.5% or 0.035 as a decimal)

n = number of times interest is compounded per year (monthly, so n = 12)

t = number of years (15)

Substituting the given values into the formula:

$20,000 = P(1 + 0.035/12)^(12*15)

Next, we can simplify the equation and solve for P:

$20,000 = P(1 + 0.0029166666666667)^(180)

$20,000 = P(1.0029166666666667)^(180)

To isolate P, we divide both sides of the equation by (1.0029166666666667)^(180):

P = $20,000 / (1.0029166666666667)^(180)

P ≈ $10,758.90

Therefore, approximately $10,758.90 must be deposited now in the account to have a balance of $20,000 after 15 years, assuming a 3.5% annual interest rate compounded monthly.

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Answer:

a=21°b=70°c=89°

Step-by-step explanation:

a=21°[by vertical opposite angle]

b+110°=180°[by linear angle]

b=180°-110°=70°

a+b+c=180°[by sum of all angle]

21°+70°+c=180

91°+c=180°

c=180°- 91°

c=89°

To find the sizes of angles a, b, and c, we need to use the properties of straight lines and angles. Since angles on a straight line add up to 180 degrees, we have: Angle a = 21°, Angle b = 159°, Angle c = 159°

Angle b: We know that the sum of angles on a straight line is 180°. Angle b and angle a are on a straight line, so we can write the equation:

b + a = 180°

Given that angle a is 21°, we can now solve for angle b:

b + 21° = 180°

b = 180° - 21°

b = 159°

Angle c: Angles b and c are vertically opposite angles, which means they are equal in measure. So, we have:

c = 159°

Angle a: We already know the measure of angle a:

a = 21°

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The estimated mean age, sample variance, and sample standard deviation for a prehistoric extended family group of 84 members in the southwestern United States are 14.5 years, 83.5 square years, and 9.1 years, respectively.

To estimate the mean age, we need to calculate the weighted average of each age group's midpoint using their respective frequencies.

The midpoint of the first class (1-10 years) is 5.5, the midpoint of the second class (11-20 years) is 15.5, the midpoint of the third class (21-30 years) is 25.5, and the midpoint of the fourth class (31 and over) is 35.5.

To calculate the weighted average, we multiply each midpoint by its respective frequency, sum these products, and divide by the total number of individuals:

x = \(\frac{5.5 x 35 + 15.5 x 22 + 25.5 x 20 + 35.5 x 7}{84}\) = 14.5 years

Therefore, the estimated mean age for this community is 14.5 years.

To calculate the sample variance and sample standard deviation, we first need to calculate the deviation of each observation from the mean. Then, we square each deviation, sum these squared deviations, and divide by n - 1 to get the sample variance.

Using the formula:

s2 = \(\frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{n-1}\)

sample variance as follows:

s2 = \(\frac{[(1-10-14.5)^2 \times 35 + (11-20-14.5)^2 \times 22 + (21-30-14.5)^2 \times 20 + (35.5-14.5)^2 \times 7]}{83}\) = 83.5

Therefore, the estimated sample variance for this community is 83.5 square years.

Using the formula:

s = \(\sqrt{s2}\)

The sample standard deviation can be calculated as follows:

s = \(\sqrt{83.5}\) = 9.1 years

Therefore, the estimated sample standard deviation for this community is 9.1 years.

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Answer:

46.8 cm²

Step-by-step explanation:

The diagonal of the square has length \(\sqrt{6^2+10^2}=2\sqrt{34}\). Therefore, the radius of the circle is \(\sqrt{34}\), meaning the area is \(\pi(\sqrt{34})^2 \approx 34(3.14)=106.76\).

The area of the rectangle is \((6)(10)=60\) cm².

Subtracting the areas, the answer is 46.76 cm², which is 46.8 cm² to the nearest tenth.

1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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Answer:

Step-by-step explanation:

Let the lowest integer be x, then:

x + x + 1 + x + 2 + x + 3 = -28.

Answer: b, c, d,

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brainliest??

Answer:

\(x=-\frac{4}{5}\)

Step-by-step explanation:

\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)

Answer:

0.2683281573

Step-by-step explanation:

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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The product is calculated by multiplying each row of matrix A by each column of matrix B and summing the results.The result of the operation is the matrix AB = [9 6; 5 4].

Matrix multiplication is defined as the process of multiplying two matrices together to form a third matrix. The product of two matrices A and B is denoted as AB. To calculate the product, each entry in the resulting matrix is calculated by multiplying each row of matrix A by each column of matrix B and summing the results. In other words, the entry in row i and column j of the product matrix AB is the sum of the products of elements in row i of matrix A and column j of matrix B.In the example given, the product of matrices A and B is AB. The product is calculated by multiplying each row of matrix A by each column of matrix B and summing the results. For example, the first entry in the product matrix, AB, is calculated as (1*2 + 0*3 + 0*4) + (0*2 + 1*3 + 0*4) + (0*2 + 0*3 + 1*4) = 2 + 3 + 4 = 9. The remaining entries are calculated in the same way. The result of the operation is the matrix AB = [9 6; 5 4].

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Answer:

B=34, A=56

Step-by-step explanation:

56 + 90 + B = 180

=) B=34

A is head to head with 56°.

Answer:

It would take 11.08 years to double up the initial investment.

Step-by-step explanation:

Remember that the formula we use for the rule of 72 is:

Where:

• t, is the number of periods it will take the investment to double up

• r, is the rate of return of the investment, expressed as a percentage

Using the rate given, we'll have that:

Therefore, we can conlcude that it would take 11.08 years to double up the initial investment.

The complex value fraction is simplified and A = ( x² - 9 ) / ( 3x² ) ( 15x - 3x² )( x - 12 ) / ( 2/15x ) ( 15x - 3x² )( x - 12 ) - 3x ( ( 3x⁴ - 15x )

Given data ,

Let the fraction be represented as A

Now , the value of A is

The last denominator of the fraction is

x² / 15x - 1/3x²

On simplifying , we get

( 3x⁴ - 15x ) / ( 15x - 3x² ) , and this fraction is multiplied by the fraction above which is x/( x/3-4 )

So , the above fraction is 3x ( ( 3x⁴ - 15x ) / ( 15x - 3x² ) ) / ( x - 12 )

Now , taking the LCM of the denominator of the fraction , we get

( 2/15x ) - 3x ( ( 3x⁴ - 15x ) / ( 15x - 3x² )( x - 12 ) , we get

( 2/15x ) ( 15x - 3x² )( x - 12 ) - 3x ( ( 3x⁴ - 15x ) / ( 15x - 3x² )( x - 12 )

And , the numerator of the fraction is ( 1/3 ) - ( 3/x² )

On taking the LCM on the numerator , we get

( x² - 9 ) / ( 3x² ) / ( 2/15x ) ( 15x - 3x² )( x - 12 ) - 3x ( ( 3x⁴ - 15x ) / ( 15x - 3x² )( x - 12 )

The denominator will get multiplied by the reciprocal of the fraction and ,

A = ( x² - 9 ) / ( 3x² ) ( 15x - 3x² )( x - 12 ) / ( 2/15x ) ( 15x - 3x² )( x - 12 ) - 3x ( ( 3x⁴ - 15x )

Hence , the fraction is A = ( x² - 9 ) / ( 3x² ) ( 15x - 3x² )( x - 12 ) / ( 2/15x ) ( 15x - 3x² )( x - 12 ) - 3x ( ( 3x⁴ - 15x )

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Answer:

P = -6

Step-by-step explanation:

Step 1: Write equation

3P + 6 = -12

Step 2: Solve for P

Step 3: Check

Plug in P to verify it's a solution.

3(-6) + 6 = -12

-18 + 6 = -12

-12 = -12

the answer is D

The figure can be divided into a rectangle and 2 triangles

Mr. Casey's class raised $448 during the fundraiser.

Percentage is simply number or ratio expressed as a fraction of 100.

Given that, Ms. Dawson’s class raised $560, which is 25% more than Mr. Casey’s class raised.

To determine ​how much Mr. Casey’s class raised,

We represent the amount raised by Mr. Casey's class as "x".

Since Ms. Dawson's class raised 25% more than Mr. Casey's class.

To calculate 25% more than x, we can multiply x by 1.25

(since 25% is equivalent to 0.25 in decimal form and 100% is 1) and set it equal to $560.

Hence:

1.25x = 560

To solve for x, we divide both sides of the equation by 1.25:

x = 560 / 1.25

x = 448

Therefore, Mr. Casey's class raised $448.

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Answer:

The probability is 406/625

Step-by-step explanation:

If they are of different materials, we have the following combinations of selection;

(gold and silver) or ( silver and titanium) or (gold and titanium )

The number of earrings present is 13 + 10 + 12 = 25

Probability of selecting a gold earring is 13/25

Probability of a silver is 10/25

Probability of a titanium is 12/25

Substituting these into the probabilities, we have;

(13/25 * 10/25) + (10/25 * 12/25) + (13/25 * 12/25)

= 130/625 + 120/625 + 156/625 = 406/625

The area, to the nearst square inch, of a circle the same size az the bicycle wheel is  531 inches².

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

π = pi = 22/7

R = radius

The full rotation of the wheel is equal to the circumference of the wheel.

circumference of the wheel = 2 πr

26π = 2 πr

r = 13 inches

Area = 22/7 x 13³ = 531 inches²

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Let's create an equation to find the # of weeks until Chad learns 937 pieces.

x = # of weeks

937 = 2x + 805

Subtract 805 from both sides.

132 = 2x

Divide both sides by 2

66 = x

Chad will need 66 weeks of lessons to learn 937 pieces.

The unit rate for points per game is determined by dividing the total points scored by the number of games played. In this case, 62 points  3 games = 20.67 points per game (rounded to two decimal places).

To determine the unit rate for points per game, we need to divide the total number of points scored by the number of games played. In this case, Pedro scored 62 points over the last 3 basketball games.

The unit rate for points per game is found by dividing the total points scored by the number of games played. In this case, Pedro scored 62 points over 3 basketball games, so the unit rate for points per game is:

62 points ÷ 3 games = 20.67 points per game (rounded to two decimal places)

So, none of the given options is correct. The correct answer is 62 over 3 points per game, which is equivalent to 20.67 points per game when rounded to two decimal places.

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Answer:

62.01 i took the test

Step-by-step explanation:

Answer:

The answer is Undefined (∞).

Step-by-step explanation:

The line y = 1 has a slope of 0, and the line parallel to it, for instance, y = 3, has the same slope, m1 = 0. For the slope of the line perpendicular to that parallel line is m2 = -1/m1, which is -1/0 = ∞

Answer:

25

Step-by-step explanation:

Answer:

I'm pretty sure it is B

Step-by-step explanation:

The interval of the domain of the considered function for which the function is decreasing is none. The function is strictly increasing: Option D: The function is increasing only.

Suppose that the function is y = f(x)

If for an interval I, when x increases meanwhile staying in the interval I, the function's output decreases (or can stay same), then we say that the function is decreasing in the interval I.

This interval I was of values that x can take for this function, which is the domain of the considered function, so we say:

y = f(x) is decreasing function in an interval I if:

\(f(x+\delta) \leq f(x) \: \forall x \in I : x+\delta \in I\)

If we have:

\(f(x+\delta) < f(x) \: \forall x \in I : x+\delta \in I\), then the function is called strictly decreasing in the interval I.

Similarly, there increasing( \(f(x+\delta) \geq f(x) \: \forall x \in I : x+\delta \in I\) ) and strictly increasing(\(f(x+\delta) > f(x) \: \forall x \in I : x+\delta \in I\) ) functions.

For this case, the function is:

\(h(x) = \left \{ {{2^x, x < 1} \atop \: \atop {\sqrt{x+3}, x \geq 1}} \right.\)

The function is differentiable in either side of 1.

Sign of rate of function at a point tells whether its increasing or decreasing.

\(h'(x)= 2^x ln(2)\)
We know that:

\(2^x > 0 \: \rm \forlall x \in \mathbb R\)

And \(ln(2) \approx 0.69 > 0\)

Thus, \(h'(x)= 2^x ln(2) > 0 \: \forall x \in \mathbb R\)

So, rate is positive, the function is strictly increasing for this case.

\(h'(x) = \dfrac{1}{2\sqrt{(x+3)}}\)

For all x > 1, \(\sqrt{x+3} > 0\), and so as h'(x)

So rate is positive and therefore strictly increasing for this case too.

\(h(1+\delta) - h(1)= \sqrt{1+\delta + 3} - \sqrt{1+3} = \sqrt{4+\delta} - \sqrt{4} > 0 \forall \delta > 0\)

So rate of the considered function is positive,so function is strictly increasing all over the domain.

Thus, the interval of the domain of the considered function for which the function is decreasing is none. The function is strictly increasing: Option D: The function is increasing only.

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