Please answer fast!!

to follow the order of operations or PEMDAS (parentheses, exponents, multiplication and division, and addition and subtraction) to ensure that we get the correct answer. [tex]231 3/25 \times 0.75 = 4348.5 / 75.[/tex]

To solve this multiplication problem, we can first convert the mixed number 231 3/25 to an improper fraction:

[tex]231 3/25 = (25 \times 231 + 3) / 25 = 5778/25[/tex]

Then, we can multiply this fraction by 0.75:

[tex]5778/25 \times 0.75 = (5778 \times 0.75) / 25[/tex]

To simplify this fraction, we can multiply the numerator and denominator by 3:

[tex](5778 \times 0.75 \times 3) / (25 \times 3) = 4348.5 / 75[/tex]

Therefore, [tex]231 3/25 x\times 0.75 = 4348.5 / 75.[/tex]

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Answer:

[tex]225 \: {m}^{2} [/tex]

Step-by-step explanation:

I added a photo of my notes

This figure is formed from a rectangle and a trapezoid

Since the opposite sides of a rectangle are equal, we can find the its area:

A (rectangle) = 9 × 17 = 153 m^2

In order to find the area of a trapezoid, we have to know the length of its altitude:

H = 15 - 9 = 6 m

We know the lengths of both bases, now we can find the area:

A (trapezoid) = 0,5(7 + 17) × 6 = 0,5 × 24 × 6 = 12 × 6 = 72 m^2

Now add these two areas together and we'll get the total area of this figure:

A = 153 + 72 = 225 m^2

The missing numbered angle is  80 degrees.

In the given diagram, we can see that angles A and B form a linear pair (they are adjacent angles whose sum is 180 degrees). So we can write:

A + B = 180 degrees

Substituting the given value of angle A, we get:

(3x + 10) + B = 180 degrees

Simplifying this equation, we get:

3x + B = 170 degrees

We are also given that angle C is a complementary angle to angle B, which means that angle C + angle B = 90 degrees. We can substitute the value of angle B from the above equation to get:

C + (3x + B) = 90 degrees

Simplifying this equation, we get:

C + (3x + 170 - 3x) = 90 degrees

Simplifying further, we get:

C + 170 = 90 degrees

Subtracting 170 from both sides, we get:

C = 80 degrees

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To solve for z, we can subtract 7 from both sides to get -5/z = -6. Finally, we can multiply both sides by -1 to get z = -7. Therefore, the solution to this equation is z = -7.

A logarithm is an equation that expresses the relationship between an exponent and its base. In this equation, we have two logarithms, ln (-5z) and ln [tex](z^2-7z)[/tex], which are both equal to each other. To solve this equation, we can use the properties of logarithms to isolate the variable. First, we can rewrite the equation as ln (-5z) - ln [tex](z^2-7z)[/tex]= 0, which can then be simplified to ln (-5/z+7) = 0. We can then take the inverse of both sides to get -5/z+7 = 1. To solve for z, we can subtract 7 from both sides to get -5/z = -6. Finally, we can multiply both sides by -1 to get z = -7. Therefore, the solution to this equation is z = -7.

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Answer:

The total number of gallons of milk sold is equal to the total number of gallons of orange juice sold. This is because there are 2 quarts in a half-gallon, so the 14 half-gallon containers of milk sold is equal to 28 quarts. Therefore, the total amount of milk sold is the same as the total amount of orange juice sold, which is 28 gallons.

Two parallel lines have the same slope, so we need to find the slope of the first line y = (1/4)x - 2, and then use it to find the equation of the parallel line that passes through (4, -2).

The slope of the first line is 1/4, so the slope of the parallel line will also be 1/4.

Using the point-slope form of the equation, we can write the equation of the parallel line as:

y - (-2) = (1/4)(x - 4)

Simplifying this equation, we get:

y + 2 = (1/4)x - 1

Subtracting 2 from both sides, we get:

y = (1/4)x - 3

Therefore, the equation of the line that is parallel to y = (1/4)x - 2 and passes through (4, -2) is y = (1/4)x - 3, which is option D.

The product of the values can be obtained by multiplying as follows:

1. 8 * 15 * 19 = 2280

2. 7 * -4 * 12 =  -41

To find a product simply means to multiply the figures in order to arrive at a value. The question asks that we get the product of some values. To get these values, we are to multiply the numbers given to arrive at the answers.

It is possible to multiply two, three, or more values at the same time. So, another word that is used in place of multiplication is "product" as is the case in the question given.

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Option D is correct. The Standard Deviation of the number of residents in the sample who were born in colorado is 7.75

How to find Standard Deviation of a given sample ?

Let x be the standard deviation for the sample, n =250

p = probability of success, q = probability of failure = 1 - p

q = 1 - 0.40 = 0.60

[tex]x = \sqrt{n \times p \times q}\\= \sqrt{250 \times 0.40 \times 0.60}\\= \sqrt{60}\\=7.75[/tex]

Therefore, Option D is correct. Standard Deviation is 7.75.

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option (d) the standard deviation of the number of residents in the sample who were born in Colorado is approximately 7.75.

The standard deviation of a binomial distribution is given by the formula:

σ = √(np(1-p))

binomial distribution with parameters n = 250 and p = 0.4—where n is the sample size and p is the probability of success—can be used to approximate the distribution of the number of Colorado residents who were born in Colorado in a sample of 250 residents.

Substituting n = 250 and p = 0.4, we get:

σ = √(250 x 0.4 x 0.6) ≈ 7.75

Therefore, the standard deviation of the number of residents in the sample who were born in Colorado is approximately 7.75.

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The volume of the figure is 76 ft³.

In geometry, a prism is a three-dimensional solid object that has two parallel bases that are congruent polygons, and rectangular faces connecting the bases. The rectangular faces are also called lateral faces or sides, and the edges where the bases and lateral faces meet are called lateral edges. The number of sides in the bases and the shape of the bases determine the name of the prism.

To find the volume of the figure, we can break it down into two rectangular prisms and add their volumes.

The first rectangular prism has dimensions 6 ft x 2 ft x 3 ft, so its volume is:

V1 = 6 ft x 2 ft x 3 ft = 36 ft³

The second rectangular prism has dimensions 4 ft x 2 ft x 5 ft (8 ft - 3 ft), so its volume is:

V2 = 4 ft x 2 ft x 5 ft = 40 ft³

The total volume of the figure is the sum of these volumes:

V = V1 + V2 = 36 ft³ + 40 ft³ = 76 ft³

Therefore, the volume of the figure is 76 ft³.

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1.The equation that represents the proportional relationship is y = 4x + 3.

2. The corresponding equation that represents a proportional relationship is y = (1/5)x.

3. y = 7/2x.

4. when y = 21 is x = 6.

5. y = 8 is x = 3.33.

The slope of a function is the rate of change in the function's output (y-value) relative to the change in its input (x-value).

The equation that represents a proportional relationship is y = mx + b, where m is the slope of the equation.

In this equation, x and y are in direct proportion.

1.The equation that represents the proportional relationship is y = 4x + 3. This equation is in the form of y = mx + b, with m being the coefficient of x, which is 4, and b being the constant, which is 3.

2. The corresponding equation that represents a proportional relationship is y = (1/5)x.

This equation is in the form of y = mx + b, with m being the coefficient of x, which is 1/5, and b being the constant, which is 0.

3. The equation that represents this relationship is y = 7/2x.

This equation is in the form of y = mx + b, with m being the coefficient of x, which is 7/2, and b being the constant, which is 0.

4. The value of x when y = 21 is x = 6.

This is because the equation representing the proportional relationship is y = 7/2x, and

when y = 21, 21 = 7/2x,

so x = 6.

5. The value of x when y = 8 is x = 3.33.

This is because the equation representing the proportional relationship is y = 12/5x, and when y = 8, 8 = 12/5x, so x = 3.33.

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The mean absolute deviation gives an idea of how spread out the data is from the mean, indicating that the stem lengths of the tomato plants are varying considerably.

The absolute deviation is a measure that quantifies the average deviation of data points from a central point, which can be any point in the data set such as the mean, median, or mode.

Typically, the mean is used as the central point. The formula to calculate the mean absolute deviation (MAD) involves finding the average of the absolute deviation (distance) of each data point from the mean of the data set.  

Here we have

Melinda planted 18 tomato seeds on the same day. She then measured each plant 7 weeks later and determined that the mean stem length was 8 inches with a mean absolute deviation (MAD) of 2.4 inches

In this situation, the MAD of 2.4 inches means that on average, the stem length of each tomato plant deviated from the mean stem length of 8 inches by 2.4 inches.

Therefore,

The mean absolute deviation gives an idea of how spread out the data is from the mean, indicating that the stem lengths of the tomato plants are varying considerably.

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Answer:

Answer is option  D

Step-by-step explanation:

Hope this helps:)

The resulting graph should have a period of 4, an amplitude of 3, a midline of y=-1, and no reflection over the x-axis.

What are the period and amplitude of a graph?

The period of a function is the smallest distance over which the function repeats itself. In other words, it is the length of one complete cycle of the function. For a sine or cosine function of the form f(x) = a sin(bx) or f(x) = a cos(bx), the period is given by 2π/b.

The most simple sine function considered the parent function, is:

  y = sin(x)

That function has:

Midline, also known as rest or equilibrium position: y = 0

Minimum: - 1

Maximum: 1

Amplitude: the distance between a minimum or a maximum and the midline = 1

period: the interval of repetition of the function = 2π

The more general sine function is:

 y = Asin(Bx + C) + D            

That function has:

Midline: y = D (it is a vertical shift from the parent function)

Minimum: - A + D

Maximum: A + D

Amplitude: A

period: 2π/B

phase shift: C (it is a horizontal shift of from the parent function)

Now, you have to draw the sine function with the given key features:

Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2

Amplitude, A = 3

midline y = - 1 ⇒ D = - 1

y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

y = 3sin(2x/π + C) -1

Substitute (0, -1)

-1 = 3sin(2(0)/π + C) -1

3sin(C) = 0

sin(C) = 0

C = 0

Hence, the function to graph is:

             y = 3sin(2x/π ) -1

To draw that function use this:

Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)

Minima: 3(-1) - 1 = - 3 - 1 = -4

y-intercept: (0, - 1)

x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1

first point of the midline: (0, -1) it is the same y-intercept

Hence, the resulting graph should have a period of 4, an amplitude of 3, a midline of y=-1, and no reflection over the x-axis.

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Step-by-step explanation:

So this will be an upside down parabola....the leading coefficient (for x^2 ) will be negative ...

Vertex at   60,90   <=====given

 Vertex form   y = a (x-h) ^2 + k

                        y = a ( x -60)^2 + 90    to find 'a' substitute in a point on the parabola...I'll use   0,0

                       0 = a ( 0-60)^2 + 90    shows a = - 1/40

so the equation is   y =  -1/40 ( x -60)^2 + 90  

           (  or expanded to y=   -1/40 x^2 + 3x )

Solve for 'x' when y = 6 ft  ( to keep from hitting your head)

      6 = -1/40x^2 +3x

      0 = -1/40 x^2 + 3x - 6      Use Quadratic Formula to find x = ~ 2 feet

Answer:

b-4/5×2 =g

Step-by-step explanation:

if u wrote down the equation correctly

We can use the proportion of people carrying bags from the sample of 50 people to estimate the number of visitors who purchased something out of the total 4,800 visitors to the mall.

The proportion of people carrying bags in the sample is:

37/50 = 0.74

This means that 74% of the sample of 50 people were carrying bags.

To estimate the number of visitors who purchased something out of the total 4,800 visitors, we can multiply the proportion by the total number of visitors:

0.74 x 4,800 = 3,552

Therefore, we can predict that approximately 3,552 visitors out of the total 4,800 visitors purchased something on that day.

The total cost of 2 burgers and 3 fries, considering a system of equations, is given as follows:

$17.

The costs are obtained by a system of equations, for which the variables are given as follows:

3 burgers and 6 fries, which cost $30, hence:

3x + 6y = 30

x + 2y = 10

x = 10 - 2y.

3 burgers and 2 fries, which cost $18 in total, hence:

3x + 2y = 18

1.5x + y = 9

Replacing the first equation into the second, the value of y is given as follows:

1.5(10 - 2y) + y = 9

2y = 6

y = 3.

Then the value of x is given as follows:

1.5x + 3 = 9

x = 6/1.5

x = 4.

Then the cost, in dollars, of 2 burgers and 3 fries, is given as follows:

2 x 4 + 3 x 3 = $17.

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Answer:

f(x) = 4+10/x

Step-by-step explanation:

f(x)x-5 = 4x+5

add 5 to both sides

f(x)x = 4x+10

divide both sides by x

f(x) = 4+10/x

still not sure if its the right problem...

The 95% confidence interval for the mean SAT scores is CI = (526.2, 549.8)

It is a statistical tool used in inferential statistics to estimate the unknown population parameter based on the sample data.

To find the 95% confidence interval for the mean SAT scores, we can use the formula: CI

where:

sample mean (538)

population standard deviation (96)

n = sample size (250)

z = z-score for the desired confidence level (95% confidence corresponds to a z-score of 1.96)

Plugging in the values, we get:

CI = 538 ± 1.96*(96/√250)

Simplifying, we get:

CI = 538 ± 11.8

Rounding to the nearest tenth, the 95% confidence interval for the mean SAT scores is:

CI = (526.2, 549.8)

For example, a 95% confidence interval for a population mean means that if we were to repeat the sampling process multiple times and calculate a 95% confidence interval each time, about 95% of the intervals would contain the true population mean.

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Answer:

x=14

Step-by-step explanation:

80+58=138

180-138=42

42÷3=x

14=x

Answer:

x= 14

Step-by-step explanation:

80 + 58 = 138°

A triangle has 180°

180-138= 42°

Put into equation

42=3x

42/3=14

X=14

As a result, the triangle's base angle is roughly 72 °

What is isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides.. Sometimes it is said that it must have exactly two sides that are the same length, and other times it must have at least two sides that are the same length, with the latter version adding the equilateral triangle as an exception.

Let x represent the size of one of the triangle's base angles.

Hence, we may apply the following equation to determine x:

angle = ((b/2)/h) arccos

where h is the height and b is the length of the base of one of the equal sides.

B in this instance equals 23 feet, while h is 8 feet.

Filling up the formula with these values:

angle = ((23/2)/8) arccosine

angle ≈ 72°

Consequently, one of the triangle's base angles is roughly 72 °

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Polynomials are functions that are constructed from a sum of powers of the independent variable x, multiplied by coefficients. In this case, we have powers of x from 0 to 3, and the coefficients are 3, 5, -11, and 3.

To evaluate the function for a particular value of x, we substitute that value in place of x and perform the necessary arithmetic. For example, to find f(2), we substitute x = 2 in the expression for f(x):

f(2) = 3(2)^3 + 5(2)^2 - 11(2) + 3

= 24 + 20 - 22 + 3

= 25

Therefore, f(2) = 25. We can similarly evaluate the function for other values of x.

Answer:

y + 13 = - [tex]\frac{2}{3}[/tex] (x + 11)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{2}{3}[/tex] and (a, b ) = (- 11, - 13 ) , then

y - (- 13) = - [tex]\frac{2}{3}[/tex] (x - (- 11) ) , that is

y + 13 = - [tex]\frac{2}{3}[/tex] (x + 11)

Answer:

yes

Step-by-step explanation:

4p+ 3p= 7p

7p+7n=14pn

Answer: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8

Step-by-step explanation:

The answer of the given question is (a)  95% of the sample means will fall within the interval from 0.9448 to 0.9512. (b) The sampling distribution of X is approximately normal with μ = 0.9480 and σ = 0.0060/√35.  (c)  We used the central limit theorem to answer part (b).

The central limit theorem is a fundamental concept in statistics that states that for a sufficiently large sample size, the distribution of the sample mean will be approximately normal, regardless of the distribution of the population from which the sample is drawn. This means that if we take repeated random samples from a population, the distribution of the means of those samples will approach a normal distribution, even if the population itself is not normally distributed.

(a) We can use the formula for the confidence interval of a mean:

σ is the population standard deviation, n is the sample size, and z is the critical value from the standard normal distribution corresponding to the desired confidence level. For a 95% confidence level, z = 1.96.

Substituting the given values, we get:

CI = 0.9480 ± 1.96*(0.0060/√35)

CI = (0.9448, 0.9512)

Therefore, 95% of the sample means will fall within the interval from 0.9448 to 0.9512.

(b) The sampling distribution of X is approximately normal with μ = 0.9480 and σ = 0.0060/√35. This is because the central limit theorem states that for a sufficiently large sample size (n[tex]\geq[/tex]30), the sampling distribution of the sample mean will be approximately normal, regardless of the distribution of the population.

(c) We used the central limit theorem to answer part (b).

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Answer: 16.642

Step-by-step explanation:

I hope this helped you! A brainilist is highly appreciated and helpful! <3

Answer: 16.642

Step-by-step explanation:

10 + 6.034 = 16.034

16.034 + 0.608 = 16.642

These are the two complex solutions to the equation [tex]x^{2} - 6x = -18[/tex] is[tex]x = 3 + 3i or x = 3 - 3i[/tex].

A linear formalism is a statement that two numbers or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts. When two or more components must be taken into account together in order to comprehend or explain the whole situation, this is known as an equation.

The concept of an equation in algebra is a statistical statement that demonstrates the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 consists of the two numbers 3x + 5 and 14, which are separated by the 'equal' sign.

we have a = 1, b = -6, and c = 18

[tex]x = (-(-6) +- \sqrt{-6^{2} } - 4(1)(18))) / 2(1)[/tex]

[tex]x = (6 +/- \sqrt{36-72} / 2[/tex]

[tex]x = (6 +/- \sqrt{36} / 2[/tex]

[tex]\sqrt{-36} = \sqrt{36} * \sqrt{-1} = 6i[/tex]

Therefore, the solutions are:

[tex]x = (6 + 6i) / 2 or x = (6 - 6i) / 2[/tex]

Simplifying:

[tex]x = 3 + 3i or x = 3 - 3i[/tex]

These are the two complex solutions to the equation [tex]x^{2} - 6x = -18[/tex].

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we can simplify |x+3| to x+3 when x is greater than 5. This is the final answer.The absolute value of a number is the distance of the number from zero on a number line, regardless of whether the number is positive or negative.

For example, the absolute value of -5 is 5, because 5 is the distance of -5 from zero on the number line.

In this problem, we are asked to simplify the expression |x+3| without using the absolute value symbol. We are also given the condition that x is greater than 5.

When x is greater than 5, we know that x+3 is also greater than 5+3=8. This is because x is already greater than 5, and adding 3 to it makes it even larger. So, we can say that x+3 is positive when x is greater than 5.

Now, let's consider what the absolute value of x+3 means in this context. Since x+3 is positive when x is greater than 5, the absolute value of x+3 is just x+3 itself. This is because the absolute value of a positive number is just the number itself.

Therefore, we can simplify |x+3| to x+3 when x is greater than 5. This is the final answer.

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Step-by-step explanation:

angle c = 180 -19 - 139 = 22 degrees   (  interior angles of a triangle sum to 180 degrees)

Now you can use law of sines to find the missing  side lengths

12 / sin 22  =  DC /sin19

DC = sin 19 * 12 / sin 22  = 10.4 units

12/sin 22 = BC / sin 132

BC =  sin132 * 12 / sin 22 =  23.8 units