Instructions: Identify the key features of the following graph. If the Domain is all real numbers, type in 'All Real" into the Domain box​

Hence, 30 inches deviate by 1.5 standard deviations from the 15-inch mean as the underlying data's standard deviation is 10 inches.

The standard deviation of statistics is a measurement of how much a group of data values deviate from their mean (average) value. While a significant standard deviation suggests that the pieces of information are dispersed throughout a broader range of values, a low standard deviation suggests that the data points are generally close to the mean.

given

a) If the sample's standard deviation is 3 inches, then the number of standard deviations from the mean of 15 inches that are 30 inches is:

z = (30 - 15) / 3 = 5

b) The context of the data and the standard deviation will determine whether 30 inches is distant from a mean of 15 inches.

A departure of 15 inches from the mean, meanwhile, can be viewed as being significantly off the mean if the standard deviation is minimal.

c) If the underlying data's standard deviation is 10 inches, then the number of standard deviations from the mean of 15 inches that are 30 inches is:

z = (30 - 15) / 10 = 1.5

Hence, 30 inches deviate by 1.5 standard deviations from the 15-inch mean as the underlying data's standard deviation is 10 inches.

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The unit twenty-six point seven ounces in terms of milligrams is 756932.3  

To convert ounces (oz) to milligrams (mg), we can use the following conversion factor:

1 oz = 28,349.5 mg

Therefore, to convert 26.7 oz to mg, we can multiply 26.7 by the conversion factor as follows:

26.7 oz × 28,349.5 mg/oz = 756932.3  mg

So, there are approximately 756932.3 milligrams in 26.7 ounces of mass.

Comparing the calculated answer with the options given, we see that the answer is closest to 756,498.15 mg, which is not one of the options.

Therefore, we cannot choose any of the options given.

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Answer:

We can use the Pythagorean theorem to solve this problem. Let's call the distance Brenda is away from the fish "x". Then, we have a right triangle with legs of length 12 and x, and a hypotenuse of length 16. So:

x^2 + 12^2 = 16^2

Simplifying:

x^2 + 144 = 256

x^2 = 112

Taking the square root of both sides:

x ≈ 10.6 feet

Therefore, Brenda is approximately 10.6 feet away from the fish.

Answer:

To simulate the probable outcomes of this event with a six-sided number cube, you can place the numbers 1-6 on the faces in the following order: 1, 4, 3, 2, 5, 6. Then roll the cube and use the following outcomes:

a) Correct: a roll of 6 Incorrect: a roll that is not 6

b) Correct: a roll of an even number Incorrect: a roll of an odd number

c) Correct: a roll of a number less than 3 Incorrect: a roll of a greater than or equal to 3

d) Correct: a roll of a number that is not divisible by 3 Incorrect: a roll of a number that is divisible by 3

Step-by-step explanation:

The correct choice is (4) x² = 34² +29² - 2(34)(29)*cos(56).

Trigonometry is one of the branches of mathematics that deals with the relationship between the sides of a triangle (a right-angled triangle) and its angles. There are six types of trigonometry.

We can use the laws of cosines and sines to solve this problem.

According to the law of cosines, we have:

cos(B) = (a² c² - b²) / 2ac

where a, b and c are the  lengths of opposite sides of angles A, B and C. In this case, we get that a = 34, b = x, and c = 29, and we know that angle C is 56 degrees . Because:

cos(B) = (34² 29² - x²) / (23429)

According to the Law of Sines, we have:

sin(B) / b = sin(C) / c

Substituting the given values ​​we get:

sin(B) / x = sin(56) / 29

Solving Sin(B) we get:

sin(B) = x * sin(56) / 29

Now we can use the identity sin²(B) cos²(B) = 1 to eliminate sin(B) and solve for x:

(x * sin(56) / 29)² cos²(B) = 1

Expanding and substituting  cos(B) from the previous expression, we get:

(x² * sin²(56) / 29²) ((34² 29² - x²) / (2(34)(29))²= 1

Simplifying and solving for x², we get:

x² = 34²+ 29² - 2(34)(29)*cos(56)

Therefore, the correct choice is (4) x² = 34² +29² - 2(34)(29)*cos(56).

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The mean number of bedrooms in a house in this neighborhood will be: 3.824.

In order to find the mean number of bedrooms in a house in the Belmont Neighborhood, we need to calculate the weighted mean by multiplying each number of bedrooms by their respective frequency.

Next, we will add the products, and then divide by the total frequency. So we can start as follows:

(2 * 7) + (3 * 35) + (4 * 56) + (5 * 27) = 14 + 105 + 224 + 135 = 478

Total frequency = 7 + 35 + 56 + 27 = 125

Therefore, the mean number of bedrooms = 478 / 125  approximately 3.824

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Answer: 87.3 inches

Step-by-step explanation: The height of the pyramid is the hypotenuse of a right triangle whose legs are the height and half the length of the base.

Let h be the height of the pyramid, then:

h^2 + (21.6/2)^2 = 88.6^2

h^2 + 233.28 = 7857.96

h^2 = 7624.68

h = 87.3 inches (rounded to one decimal place)

Therefore, the height of the stainless steel patio heater is approximately 87.3 inches.

Answer: q= -2/35

Step-by-step explanation:

Rearrange terms 2 Subtract  from both sides 3.Simplify the expression Subtract the numbers Subtract the numbers 4 Divide both sides by the same factor 5 Simplify the expression Divide the numbers Cancel terms that are in both the numerator and denominator Move the variable to the left

Answer:

q = -2/35

Step-by-step explanation:

2/7 = 4/5 + 9q

(2/7) - (4/5) = 9q

(10/35) - (28/35) = 9q

-18/35 = 9q

(-18/35) / 9 = q

(-18/(35*9)) = q

-18/315  = q

q = -2/35

Check:

2/7 = 4/5 - 9*2/35

2/7 = 4/5 - 18/35

10/35 = 28/35 -18/35

10 = 28 -18

Answer:

Step-by-step explanation:

We get triangle PQR by plotting the point P (1, 4), Q (3, 1), R (2, -1) on the graph paper when rotated through 180° about the origin. The new position of the point is: P (1, 4) → P' (-1, -4) Q (3, 1) → Q' (-3, -1) R (2, -1) → R' (-2, 1) Thus, the new position of ∆PQR is ∆P’Q’R’.

Answer:

y=9 (3x/9-2) + 18=3x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:-

•α=

•β=

To Find:-

♦The Quadratic Equation using the Given details?

AnsWer:-

↓Quadratic Formula↓

→k[x²-(α+β)x+αβ]

→α+β=+

•Take LCM•

→α+β=+

→α+β=

→αβ=×

→αβ=

↑Using these Values in The Formula↑

→k[x²-(x)+() ]

★Let k=8★

→8[x²-(x)+() ]

→8x²-(-2x)+(-3)

→8x²+2x-3=quadratic Equation

The new triangle A'B'C' after the translation is A'(-3, 3), B'(4, -1), and C'(-2, 0).

A shape is translated when it is moved up, down, left or right without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.

To perform the given translation (x, y) → (x − 3, y - 4) on the triangle ABC with vertices A(0, 7), B(7, 3), and C(1, 4), we need to apply the same transformation to each vertex of the triangle and obtain their new coordinates.

For vertex A(0, 7), the transformation gives:

(x, y) → (x − 3, y - 4)

(0, 7) → (0 - 3, 7 - 4)

The new coordinates of A are (-3, 3).

For vertex B(7, 3), the transformation gives:

(x, y) → (x − 3, y - 4)

(7, 3) → (7 - 3, 3 - 4)

The new coordinates of B are (4, -1).

For vertex C(1, 4), the transformation gives:

(x, y) → (x − 3, y - 4)

(1, 4) → (1 - 3, 4 - 4)

The new coordinates of C are (-2, 0).

Therefore, the new triangle A'B'C' after the translation is A'(-3, 3), B'(4, -1), and C'(-2, 0).

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Answer:

Step-by-step explanation:

Let's denote the volume of the cube as V and the length of each edge as x. Given that the volume of a cube is V = x^3, we can find the rate at which the length of each edge is changing.

We're given that the rate of change of the volume is dV/dt = 56 in³/sec. We want to find the rate of change of the length of each edge, which is dx/dt, when the length of each edge is 6 inches.

First, we differentiate the volume equation with respect to time t:

V = x^3

dV/dt = d(x^3)/dt

Using the chain rule:

dV/dt = 3x^2 * (dx/dt)

Now, we know that dV/dt = 56 in³/sec and x = 6 in. Plugging these values into the equation, we get:

56 = 3 * (6)^2 * (dx/dt)

Solving for dx/dt:

56 = 108 * (dx/dt)

dx/dt = 56 / 108

dx/dt ≈ 0.5185 in/sec (rounded to four decimal places)

So, the rate at which the length of each edge is changing is approximately 0.5185 inches per second when the edges are 6 inches long.

The interpretation of the Chicago white sox data is shown below

The record 53-28 for the Chicago White Sox in the 2021 season means that they won 53 games and lost 28 games in the home games they played during the season.

This record indicates that the White Sox were a strong team at home, winning more games than they lost.

It also suggests that they had a good advantage playing in their home stadium, as winning a high percentage of home games is generally seen as a positive factor in sports.

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Check the picture below.

so following the template below, a shift 2 units to the left, means C=2

[tex]G(x)=\sqrt{x+2}[/tex]

Step-by-step explanation:

5 cos (307)  = 3

5 sin (307) = -4  

just plot the point   ( 3, -4 )     Done.

Answer:

The point is (3, -4) because 5 cos [307] = 3 and 5 sin [307] = -4

Answer:

We can simplify the expression -8(2.5g-4.25)+5.25 by distributing the -8:

-8(2.5g-4.25)+5.25 = -20g + 34 + 5.25

Simplifying further, we can combine the constant terms:

-8(2.5g-4.25)+5.25 = -20g + 39.25

So the value of the constant term is 39.25.

To convert the expression, Y=x^2-64/16 into the polar form, we would have: r = 2 / √(sin^2θ + cos^2θ).

The polar form of a mathematical expression is a way of representing complex numbers using their magnitude and angle.

For a complex number z = a + bi, where a and b are real numbers, its polar form is given by z = r(cosθ + i sinθ), where r is the magnitude of z and θ is the angle that z makes with the positive real axis.  

So, for the given expression, the polar form can be converted this way:

r^2 sin^2θ = r cos^2θ - 4

r^2(sin^2θ + cos^2θ) = 4

r = 2 / √(sin^2θ + cos^2θ)

Therefore, the polar form is r = 2 / √(sin^2θ + cos^2θ).

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Answer:

data given

interest rate 12%

amount to be received 15ooo

time9years

Step-by-step explanation:

from

A=p[1+r/100]^n

where

A is amount

p is principal

r is rate interest

n number of interist period

now,

15000=p[1+12/100]^8

15000/1.12^8 =p×1.12^8/1.12^8

p=6058.24

p=6058)

: .you should invest 6,058

The amount to be invested initially if you want to have fifteen thousand dollars after nine years is $3947.18.

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

We are given that:

A=15000

r=0.12

t=9

We need to find P. You can do this by rearranging the formula:

P=ertA​

Then plug in the given values and use a calculator:

P=e0.12×915000​

P≈3947.18

Therefore, by the given interest rate the answer will be $3947.18.

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Answer:

Step-by-step explanation:

Okay so when a smaller number is divided by a larger number, the quotient is less than 1.  Hope this helps Bye sisters slay.

To cover a 2000 sq ft wall, we will need 5 gallons of paint.

what is area?

Area is the measure of the size of a two-dimensional surface or region, expressed in square units. It is a fundamental concept in geometry and is used to quantify the amount of space inside a shape, such as a square, rectangle, triangle, or circle. The unit of measurement for area varies depending on the system used, but in the International System of Units (SI), the standard unit of area is the square meter (m²). In everyday life, we often use other units of area such as square feet, square inches, or square centimeters.

To find the conversion factor, we need to divide the number of square feet by the number of square feet covered by one gallon of paint:

Conversion factor = 1 gallon / (400 sq ft/gallon)

So, for a wall that is 2000 sq ft, we can use this conversion factor to find the number of gallons of paint needed:

Number of gallons = (2000 sq ft) / (400 sq ft/gallon) = 5 gallons

Therefore, to cover a 2000 sq ft wall, we will need 5 gallons of paint.

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The volume of the rectangular prism is (867/20) cubic inches.

A volume is just the amount of space taken up by any three-dimensional solid. A cube, a cuboid, a cone, a cylinder, or a sphere are examples of solids. Volumes differ depending on the shape.

To find the volume of a rectangular prism, we need to multiply its length, width, and height. In this case, the length is 10 1/5 inches, the width is 4 1/4 inches, and the height is 2 inches. We can convert the mixed numbers to improper fractions and then multiply:

length = 10 1/5 inches = (51/5) inches

width = 4 1/4 inches = (17/4) inches

height = 2 inches

Volume = length x width x height

= (51/5) inches x (17/4) inches x 2 inches

= (867/20) cubic inches

Therefore, the volume of the rectangular prism is (867/20) cubic inches.

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The given exponents term can be written in the form of [tex](a^{4})^{12}[/tex] .

What about exponents?

Exponents are a mathematical operation that involves multiplying a base number by itself a certain number of times. Exponents are often referred to as powers, and the base number is raised to a power, which is usually represented by a superscript number. For example, 2^3 means 2 raised to the power of 3, which is 2 x 2 x 2 = 8.

Exponents are commonly used in many areas of mathematics, including algebra, calculus, and geometry. They are used to represent very large or very small numbers, to simplify calculations, and to express repeated multiplication in a more compact form. Exponents can also be negative or fractional, allowing for the representation of roots and other mathematical concepts.

According to the given information:

In the given question [tex](a^{48} )[/tex] can be written as,

[tex](a^{4})^{12}[/tex] = [tex](a^{4})^{12} = a^{48}[/tex]

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Answer:

The given quadratic equation is: 10x^2 + 7x + 3 = 0.

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 10, b = 7, and c = 3.

Substituting these values into the formula, we get:

x = (-7 ± sqrt(7^2 - 4(10)(3))) / 2(10)

x = (-7 ± sqrt(49 - 120)) / 20

x = (-7 ± sqrt(-71)) / 20

Since the square root of a negative number is not a real number, this quadratic equation does not have any real solutions. Therefore, none of the options (A), (B), (C), or (D) are correct.

To create points for the graph of f(x) = (2/3)x - 1, we can choose values of x and calculate the corresponding values of f(x). See explanation below and attached graph.

To create points for the graph of f(x) = (2/3)x - 1, we can choose values of x and calculate the corresponding values of f(x). For example:

So, we have the following points for the graph: (-3, -4), (-2, -2 1/3), (-1, -1 2/3), (0, -1), (1, -1/3), (2, 1/3), (3, 1).

We can now plot these points on a graph, with x-values on the horizontal axis and f(x) values on the vertical axis. We can label the horizontal axis as "x" and the vertical axis as "f(x)" or "y".

Note that the graph of f(x) = (2/3)x - 1 is a straight line with slope 2/3 and y-intercept -1.

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This null hypothesis prompt is actually straight forward. Note that where the above conditions exist, we must NOT reject the null hypothesis due to the values of the z-statistics and the significance level.

The idea that there is no influence on the population is known as the null hypothesis. We can reject the null hypothesis if the sample contains sufficient data to refute the assertion that there is no impact in the population (p≤α ).

So to determine whether or not to accept or reject the null hypothesis, we must determine dthe z-score.

To find the the critial value for a left-tailoed test, where the signifiance level is 0.01, note that we must find the z-score that leaves 1% of the area in the left tail.

Using the standard distribution table, the z-score for 0.01 left tail is about -2.33.

Since

z-satistics which  is equal to -1.95 (as given) is greater than the z-score, we must NOT reject the null hypothesis.

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To the nearest block, Landon's house is at distance of 12 blocks away from Maria's house if Maria could walk in a straight line.

A basic mathematical theorem relating to the sides of a right-angled triangle is known as Pythagoras' theorem. The square of the length of the hypotenuse, the side that faces the right angle, is said to be equal to the sum of the squares of the lengths of the other two sides, known as the legs, in a right triangle.

This can be written in mathematical notation as:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the legs of the right triangle.

In this case, we can consider the straight line between Maria's house and Landon's house as the hypotenuse of a right triangle, with the distances they walked as the other two sides. We can use the distance formula to find the lengths of those sides:

Distance walked by Maria = √(9² + 3²) = √90 ≈ 9.49 blocks

Distance walked by Landon = √(5² + 7²) = √74 ≈ 8.60 blocks

Now we can use the Pythagorean theorem to find the distance between their houses:

Distance between houses = √(9.49² + 8.60²) ≈ 12.46 blocks

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