what is m=1/2, b=-8 as an equation

The standard deviation for the given data is 5

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

Given that,

the data,

X            Xₙ - X₀            (Xₙ - X₀)²

18            -7                      49

21             -4                      16

24            -1                        1

24            -1                        1

25             0                       0

31              6                      36

32            7                     49  

175                                  152

X₀  = 175/7 = 25

Variance  =    (Xₙ - X₀)²/(n-1)

                 =  152/(7-1)

                 =   25.33

Standard deviation =  √Variance

                                =  √25.33

                                =   5.03

Hence, the standard deviation is 5

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The density of the marble will be "0.18 kg/m³".

According to the question,

Volume of marbles,

By converting it into m, we get

Mass,

By converting it into kg, we get

As we know, the formula:

→ \(Density = \frac{Mass}{Volume}\)

By substituting the values, we get

→               \(= \frac{0.045}{0.25}\)

→               \(= 0.18 \ kg/m^3\)  

Thus the answer above is correct.

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Answer:

B. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units.

Step-by-step explanation:

Answer:

x + y = 129

with possible solution

128 and 1

Step-by-step explanation:

128 + 1 = 129

There are infinitely many solutions if you don't specify the difference.

Answer:

Step-by-step explanation:

\(4x+6-11\\\\\mathrm{Add/Subtract\:the\:numbers:}\:6-11=-5\\=4x-5\)

Answer:

4 hours

Step-by-step explanation:

the cost of movie is $48

means they have $32 left with them

parking charge is $8 (32/8= 4)

means they can spend 4 hours in Emeryville

x = 147 / 0.5446 ≈ 270.2 ft

To find the length of the guy wire for a radio transmission tower, trigonometry concepts are applied. Given a tower height of 160 feet, with the wire attached 13 feet from the top and making an angle of 29° with the ground, we can solve for the length of the guy wire, represented by x.

Using the Pythagorean theorem and considering the right triangle formed by the tower height, the wire attachment point, and the ground, we can set up the equation:

x = √((160 - 13)² + x²)

Next, we apply the tangent function to the given angle:

tan(29°) = (160 - 13) / x

Simplifying, we have:

0.5446 = 147 / x

To solve for x, we rearrange the equation:

x = 147 / 0.5446 ≈ 270.2 ft

Rounding to the nearest tenth of a foot, the length of the guy wire required is approximately 270.2 feet. This wire is attached 13 feet from the top of the tower and makes a 29° angle with the ground.

Trigonometry plays a crucial role in solving real-world problems involving angles and distances. It provides a mathematical framework for calculating unknown values based on known information, enabling accurate measurements and constructions.

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Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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The probability that there are no surface flaws in an auto's interior is 93.23%.

For the given question;

The number of surface defects in plastic panels for use in automobile interiors follows a Poisson distribution.

We know that the required number of flaws is calculated using

Expected flaw count = 10×0.007 = 0.07

Thus,

The likelihood there were no surface flaws in an automobile's interior;

P(X=0) = e⁻⁰°⁰⁷

P(X=0) = 0.9323

Thus, the probability that there are no surface flaws in an auto's interior is 93.23%.

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We need to roll a die at least 3 times and a coin should be tossed at least 2 times.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given this, Becca repeatedly tosses a fair coin until she gets a head.

The probability of getting a head P(H) is = 1/2.

The probability of getting a number 3 or higher is,

P(3) + P(4) + P(5) + P(6).

= 1/6 + 1/6 + 1/6 + 1/6.

= 4/6.

= 2/3.

So, to get a number 3 or higher we need at least 3 rolls, and to get a head we need at least 2 tosses.

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The construction being demonstrated is constructing a perpendicular bisector.

In this construction, a line is drawn to bisect a given line segment and is perpendicular to that line segment. The perpendicular bisector divides the line segment into two equal parts and creates a right angle at the point of intersection. It is useful in various geometric constructions and applications, such as finding the midpoint of a line segment or constructing equilateral triangles. By constructing a perpendicular bisector, we ensure that the distances from any point on the line to the endpoints of the line segment are equal.

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Answer:

\(r = \frac{-4}{9}\)

Step-by-step explanation:

\(\frac{12r}{r+2}= \frac{4}{r+2} -6 \\\\\frac{12r}{r+2}= \frac{4-6(r+2)}{r+2} \\\\\frac{12r}{r+2}= \frac{4-6r-12}{r+2}\\\\12r = -6r - 8\\\\12r + 6r = -8 \\\\18r = -8\\\\r = \frac{-8}{18} = \frac{-4}{9}\)

The markup on cost percentage for Hudson Bay's acquisition of sheets priced at MSRP 59.99 for 22.99 is 61.68%.

To calculate the markup on cost percentage, we can use the following formula:

Markup on Cost Percentage = ((Selling Price - Cost Price) / Cost Price) x 100

In this case, the cost price of the sheets is 22.99, and the selling price (MSRP) is 59.99. Plugging these values into the formula, we get:

Markup on Cost Percentage = ((59.99 - 22.99) / 22.99) x 100

Markup on Cost Percentage = (37 / 22.99) x 100

Markup on Cost Percentage = 1.6103 x 100

Markup on Cost Percentage = 61.68%

Therefore, Hudson Bay's markup on cost percentage for acquiring sheets priced at MSRP 59.99 for 22.99 is 61.68%.

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Answer:

B

Step-by-step explanation:

Using the rules of radicals

\(\sqrt{\frac{a}{b} }\) = \(\frac{\sqrt{a} }{\sqrt{b} }\)

Given

\(\sqrt{\frac{2}{x} }\) × \(\sqrt{\frac{x^2}{8} }\)

= \(\sqrt{\frac{2x^2}{8x} }\) ←  cancel 2 and 8 and x² and x

= \(\sqrt{\frac{x}{4} }\)

= \(\frac{\sqrt{x} }{\sqrt{4} }\)

= \(\frac{\sqrt{x} }{2}\) → B

Answer:

The origin is (0,0)

So: Its in the middle of the graph.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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The option second "No, they are not independent because P(student)≈ 0.82 and P(student pirate) ≈ 0.94" is the correct option (B) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a table given that shows the survey asks teachers and students whether they would like the new school mascot to be a pirate or a moose.

The probability of a person that is a student:

P(student) = (75+15)/110 = 0.83

The probability:

P(student|pirate) = 75/80 = 0.93

The probability of both events is different.

Thus, the option second "No, they are not independent because P(student)≈ 0.82 and P(student pirate) ≈ 0.94" is the correct option (B) is correct.

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Answer:

This equation is true They do equal each other

Step-by-step explanation:

We have shown that if IJ ⊆ P, then either I ⊆ P or J ⊆ P. Hence, the statement is proven, for I and J be ideals and P a prime ideal of R. Since P is prime, so we have the following inequality:(I intersection P) (J intersection P) ⊆ P²

Now, since P is prime so P² is a prime ideal too, thus one of the ideals I intersection P and J intersection P must be contained in P.

If I intersection P ⊆ P, then I ⊆ P. If J intersection P ⊆ P, then J ⊆ P. Therefore, I ⊆ P or J ⊆ P.

To prove the statement, let's assume that I and J are ideals of a ring R, and P is a prime ideal of R. We want to show that if IJ ⊆ P, then either I ⊆ P or J ⊆ P.

Suppose that IJ ⊆ P, We will proceed by contradiction.

Assume that I is not contained in P, which means there exists an element a ∈ I such that a ∉ P.

Since P is a prime ideal, it is closed under multiplication, so aJ ⊆ PJ ⊆ P.

Now consider the product (aJ)(a⁻¹). Since a ∉ P, a⁻¹ ∈ R\P (the complement of P in R).

Therefore, (aJ)(a⁻¹) ⊆ P(a⁻¹), and we have:

aJ ⊆ P(a⁻¹)

Multiplying both sides by a, we get:

a(aJ) ⊆ a(P(a⁻¹))

a²J ⊆ Pa⁻¹

Since J is an ideal, a²J ⊆ aJ ⊆ P(a⁻¹), and by induction,

we have aⁿJ ⊆ Pa⁻ⁿ for any positive integer n.

Consider the element aⁿ ∈ aⁿJ.

Since aⁿJ ⊆ Pa⁻ⁿ, aⁿ ∈ Pa⁻ⁿ.

This implies that aⁿ is an element of the prime ideal P for any positive integer n.

Since R is a ring, there exists a positive integer m such that aᵐ = aᵐ⁺¹ for some m⁺¹ > m.

This means that aᵐ (a - 1) = 0.

Since aᵐ ∈ P and P is a prime ideal, either a or (a - 1) must be in P.

If a is in P, then I ⊆ P, which is one of the conditions we want to prove.

If (a - 1) is in P, then consider the element 1 ∈ R. Since (a - 1) is in P, we have 1 - (a - 1) = a ∈ P.

This implies J ⊆ P, which is the other condition we want to prove.

In either case, we have shown that if IJ ⊆ P, then either I ⊆ P or J ⊆ P. Hence, the statement is proven.

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Answer:

C

Step-by-step explanation:

The sum of distances from any point on the ellipse to each foci equals a certain amount, no matter what point on the ellipse it starts from. The foci are on the major radius of the ellipse (the longer length of horizontal/vertical). The foci are of equal distance from the center, with one on each side.

If you wanted to find where the foci are using the major and minor radius, we can find that, representing the distance between the center and any foci as g,

g² = major radius² - minor radius². Then, the distance between the center and the foci is equal to g

If Ed wants to determine whether there is a statistically significant difference in performance between two related groups, in this case, the same group of students taking the test twice, he can use a paired samples t-test.

The paired samples t-test is a hypothesis test that compares the means of two related groups to determine whether there is a statistically significant difference between them. It is appropriate when the data are paired or matched, such as when the same group of individuals is measured twice.

In this case, Ed can use the paired samples t-test to compare the scores of the same group of students on the two tests. He can calculate the difference between the scores of each student on the two tests and then use the t-test to determine whether the mean difference is statistically significant.

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After solving the given expression → F = - m + B/q³  for  [B], we get -

B = q³(F + M).

We have the following equation -

F = - m + B/q³

We have the following equation -

F = - m + B/q³

On solving for [B], we get -

F + M = B/q³

B = q³(F + M)

Therefore, the given expression after solving for [B], we get -

B = q³(F + M).

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Answer:

\(m=0\)

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define

Point (-6, -7)

Point (5, -7)

Step 2: Find slope m

This means that our line is a horizontal line.

Answer:

0/11

Step-by-step explanation:

You want to do y2-y1/x2-x1=m

So you would -7-(-7)/5-(-6)

Which equals 0/11

Hope this helps!

The options that represent an amount and price of gas that Pedro purchased are 19 gallons of gas for $52.25, 16 gallons of gas for $44. So options C and D are correct.

To calculate the amount of gas and the total price that Pedro purchased, we need to use the formula:

Price = Cost per gallon * Number of gallons

Dividing the total price by the cost per gallon will give us the number of gallons purchased. We can then compare this with the given options to see which one(s) match.

Using the given cost per gallon of $2.75, we can check each option:

a) 13.75 gallons of gas for $41.25

Price = $2.75/gallon * 13.75 gallons = $37.81

This option does not match the total price of $41.25, so it is not correct.

b) 22 gallons of gas for $71.5

Price = $2.75/gallon * 22 gallons = $60.50

This option does not match the total price of $71.5, so it is not correct.

c) 19 gallons of gas for $52.25

Price = $2.75/gallon * 19 gallons = $52.25

This option matches the total price of $52.25, so it is correct.

d) 16 gallons of gas for $44

Price = $2.75/gallon * 16 gallons = $44

This option matches the total price of $44, so it is correct.

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Complete question is:

Pedro fills up his truck with gas he paid $2.75 a gallon which of these represents an amount and price of gas that Pedro purchased select all that apply.

a) 13.75 gallons of gas for $41.25

b) 22 gallons of gas for $71.5

c) 19 gallons of gas for $52.25

d) 16 gallons of gas for $44

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

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Step-by-step explanation:

HI THIS IS THE ANSWER BRAINLIEST ME PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE

The method that can not be used to prove that lines i and k are parallel is the statement "shows that both lines are perpendicular to a third line".

and the measures of the other three angles are 60°, 60°, and 120°

Interior angles are defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles

The method that can not be used to prove that lines i and k are parallel is the statement "shows that both lines are perpendicular to a third line".

Lines l and k intersect forming two pairs of vertical angles. If one of these angles measures 120°,

As per the given question,

Let angle ∠1 is 120°

here angles ∠1 and ∠2 are supplementary

So  ∠2 = 180° - 120° = 60°

However, if a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.

∠2 = ∠4 = 60°

∠1 = ∠3 = 120°

Therefore, the measures of the other three angles are 60°, 60°, and 120°.

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Answer:

x = 7

Step-by-step explanation:

(3x-1)/12 = 15/9

27x-9 = 15x12 = 180

27x = 189

x = 7

The rate of change of the area of the triangle is 7cm/sec when the base is 4cm and height is 7cm.

We know that,

The Base is growing at the rate of 1 cm per sec.

Height is growing at the rate of 2 cm per sec.

Area of triangle: 1/2 × b × h

The rate of change will be:

1/2 × b × h

1/2 × 4/1 × 7/2

28/4

7 cm per sec

Therefore, the rate of change of the area of the triangle is 7cm/sec when the base is 4cm and height is 7cm.

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