Plz answer this
What line is this?

Plz Answer ThisWhat Line Is This?

Answers

Answer 1
Those are two parrel lines
Both have slope of -1/6 but the first has a y intercept of 1 and the second function had a y intercept of 6

Related Questions

Help!!! Please????????

Help!!! Please????????

Answers

Answer:

idk

Step-by-step explanation:

i dont know

I think it’s asking to find the roots (zeros). Is so, then:

1.) There are two solutions, X = 1 plus or minus root 145/ 6.

2.) There are 2 solutions with components imaginary. X = 3/2 + i/2 and 3/2 - i/2

3.) There’s 2 solutions X = ( -7 plus or minus root 93)/2

4.) There is one solution X = -4

I hope that helps.

What information is needed to write the equation of a line in point-slope form?
The location of one ordered pair that lies on the line and the line's slope.
The line's slope and one ordered pair that is not on the line.
The location of one ordered pair on the line and one ordered pair that is not on the line.
The slope of the line and the location of the origin.

Answers

The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

Point-slope form of the equation of a line

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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Guess the value of X Y Z in the addition problem
X Y Z
X Y Z
+X Y Z
_____
Y Y Y

Answers

One possible solution is X = 0, Y = 8, and Z = 4.

To find the values of X, Y, and Z in the addition problem, let's analyze the sum:

  XYZ

+ XYZ

+ XYZ

_____

 YYY

We know that when we add two three-digit numbers, the sum in the ones place (Z) can only be a single-digit number.

Therefore, the sum of Z + Z + Z should equal Y.

Since the sum in the ones place results in a three-digit number (YYY), it means that Z + Z + Z = Y must result in a number greater than or equal to 100.

Let's try some possible values:

If Z = 1, then 1 + 1 + 1 = 3. But this doesn't fulfill the condition that Y must be greater than or equal to 100.

If Z = 2, then 2 + 2 + 2 = 6. This still doesn't fulfill the condition.

If Z = 3, then 3 + 3 + 3 = 9. Again, this doesn't fulfill the condition.

If Z = 4, then 4 + 4 + 4 = 12. Finally, this meets the condition since Y can be 12.

Therefore, we have:

  444

+ 444

+ 444

_____

 888

In this case, X can be any digit since it doesn't affect the final sum. So, X can be any number from 0 to 9.

Thus, one possible solution is X = 0, Y = 8, and Z = 4.

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Help will give brainlest! Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral.

Help will give brainlest! Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the

Answers

Answer:

Angle a=92, angle c=88, angle b=100, angle d=80

Step-by-step explanation:

suppose that a cylinder grows by only changing its radius (similar to one of the growth models in the breathing worms studio). if the radius of the cylinder doubles, by what factor will the volume of the cylinder increase?

Answers

The volume of the cylinder will increase by a factor of 4 if the radius of the cylinder doubles.

Volume is the amount of space occupied by a three-dimensional object or region of space and expressed in cubic units.

To get the volume of a cylinder, multiply the area of the circular base with the height:

V = \(\pi r^{2} h\)

where

r is the radius of the base (circle) of the cylinder

h is the height of the cylinder

Thus, the volume of cylinder directly varies with its height and directly varies with the square of its radius

So if the radius of the cylinder doubles,

V = \(\pi (2r)^{2}h\)

V = \(\pi (4r^{2}) h\)

V = \(4\pi r^{2} h\)

Then, the volume will increase by a factor of 4.

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suppose that a cylinder grows by only changing its radius (similar to one of the growth models in the

HELP ION GET THIS :(

HELP ION GET THIS :(

Answers

Answer:

-2

Step-by-step explanation: use rise over run, start from bottom point, you go up 4, to the left 2. 4/-2=-2

Answer:

m=-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)=(-3-1)/(2-0)=-4/2=-2

Hope this helps; please vote brainliest.

The parameter of interest (mean or proportion), choice of test, and hypotheses all depend on only the population information. Identify these components for the scenario described. BE SPECIFIC.A bookbag company published a report that in a recent comparison test 55% of middle school children preferred their bookbag to their closest competitor's. You want to determine if this is true.a. Parameter of interestb. Choice of Testc. Hypotheses

Answers

A Z-test for proportions, you will be able to determine if there is a significant difference in the preference of middle school children for the bookbag company's product compared to the reported 55%.

For the scenario described, we need to identify the parameter of interest, choice of test, and hypotheses.

a. Parameter of interest: In this case, the parameter of interest is the proportion of middle school children who prefer the bookbag company's product over their closest competitor's.

b. Choice of Test: Since we are dealing with proportions, the appropriate test to use is a hypothesis test for proportions, specifically the Z-test for proportions.

c. Hypotheses:

Null Hypothesis (H0): p = 0.55, meaning there is no difference and 55% of middle school children prefer the bookbag company's product.

Alternative Hypothesis (H1): p ≠ 0.55, meaning there is a significant difference, and the proportion of middle school children who prefer the bookbag company's product is not 55%.

By conducting a Z-test for proportions, you will be able to determine if there is a significant difference in the preference of middle school children for the bookbag company's product compared to the reported 55%.

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The number of traffic citations given daily by two police departments over a two-week period is shown in the box-and-whisker plots. Which statement is NOT true?
a.The East department gave the greatest number of citations in one day.
b.The East department gave the least number of citations in one day.
c.The East department has a greater IQR than the West department.
d.The East department has the greater median of citations in one day.

The number of traffic citations given daily by two police departments over a two-week period is shown

Answers

D iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Answer:

b. The East department gave the least number of citations in one day.

Step-by-step explanation:

a. The East department gave the greatest number of citations in one day.

True, 210 > 190 (approx.)

b. The East department gave the least number of citations in one day.

False, 110 > 90 (approx.)

c. The East department has a greater IQR than the West department.

True, 4 out of 5 numbers are greater

d. The East department has the greater median of citations in one day.

True, 143 > 135 (approx.)

Emily and a friend bought two tickets to see a soccer game. Each ticket cost ​$8.25. The friends paid a total of ​$24.50​, which included a fee per ticket for parking near the stadium. How much did each friend pay for the parking​ fee? What is the parking fee as a percent increase in the cost of a​ ticket?

Answers

Answer:

8.00

Step-by-step explanation:

Answer:

answer is 4

Step-by-step explanation:

no prob

An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. Consider the trinomial 6x2 + 13x + 6. The value of ac is . The value of b is . The two numbers that have a product of ac and a sum of b are 4 and .

Answers

Answer:

1. ac = 36

2. b = 13

3. 4 and 9

Step-by-step explanation:

Given

6x² + 13x + 6

Required

Fill in the gaps

Solving (1): The value of AC

The general form of an equation is:

ax² + bx + c

By comparison:

a = 6

b = 13

c = 6

So,

ac = a * c

ac = 6 * 6

ac = 36

Solving (2): The value of b

In (1) above, we showed that

b = 13

Solving (3): Two numbers that satisfy product ac and sum b

We have that.

ac = 36

If one of the numbers is 4, then the other number is

Other number = 36/4

Other number = 9

Alternatively, we have that.

b = 13

If one of the numbers is 4, then the other number would be:

Other number = 13 - 4

Other number = 9

Answer:

ac = 36

b = 13

The two numbers that have a product of ac and a sum of b are 4 and 9

Step-by-step explanation:

How do I factor 14x^2-7xy-147y^2

Answers

STEP 1

Equation at the end of step

((14 • (x2)) -  7xy) -  (3•72y2)  

Equation at the end of step 2

 ((2•7x2) -  7xy) -  (3•72y2)

STEP 3

STEP 4

Pulling out like terms

4.1     Pull out like factors :

  14x2 - 7xy - 147y2  =   7 • (2x2 - xy - 21y2)

Trying to factor a multi variable polynomial :

4.2    Factoring    2x2 - xy - 21y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (2x - 7y)•(x + 3y)

Marco needs to buy some cat food At the nearest store, 3 bags of cat food cost $16.50. How muc
would Marco spend on 5 bags of cat food?

Answers

He would spend $27.50, because each bag costs $5.50. Multiply that by 5 and you have your answer :)

At a bookstore, the cost for a novel and a magazine is $8.27. The cost for 3 novels and 5 magazines is $20.22. Which pair of equations can be used to determine n, the cost of a novel, and m, the cost of a magazine? n + 5m = 8.27 3n + m = 20.22 n + 5m = 8.27, , 3n + m = 20.22, n + m = 8.27 3n + 5m = 20.22 n + m = 8.27, , 3n + 5m = 20.22, n + m = 20.22 3n + 5m = 8.27 n + m = 20.22, , 3n + 5m = 8.27, 3n + m = 8.27 n + 5m = 20.22

Answers

Answer:

n + m = 8.27; 3n + 5m = 20.22

Step-by-step explanation:

Let

Cost of the novel = n

Cost of the magazine = m

The cost for a novel and a magazine is $8.27.

n + m = 8.27 (1)

The cost for 3 novels and 5 magazines is $20.22

3n + 5m = 20.22 (2)

The pairs of equation to determine n, cost of the novel and m, cost of the magazine is

n + m = 8.27; 3n + 5m = 20.22

Combining (1) and (2)

The propositional variables s and m represent the two propositions:
s: It is sunny today.
m: I will bring my umbrella. Select the logical expression that represents the statement: "Despite the fact that it is sunny today, I will bring my umbrella."
(A) s
(B) s∧m
(C) s∨m

Answers

The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m.

The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m. This is because the conjunction "and" (∧) is used to connect two statements that must both be true in order for the overall statement to be true. In this case, both s (It is sunny today) and m (I will bring my umbrella) must be true in order for the statement to be true.

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(B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."


The logical operator ∧ (conjunction) connects two propositions and represents the idea of "and." Therefore, s∧m means "It is sunny today and I will bring my umbrella." This is the logical expression that represents the statement given in the question.


To summarize, the correct answer is (B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."
Main Answer: The correct logical expression is (B) s∧m.

In the given statement, "Despite the fact that it is sunny today, I will bring my umbrella," both propositions s (It is sunny today) and m (I will bring my umbrella) are true at the same time. The logical expression that represents this is s∧m, which means "s AND m" are both true.

The statement "Despite the fact that it is sunny today, I will bring my umbrella" is best represented by the logical expression (B) s∧m, as it shows that both s and m are true.

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B is the midpoint of AC . If AB =3x-4 and BC =2x+5, what is the length of BC ?

Answers

Answer:

23

Step-by-step explanation:

AB = BC = (1/2)AC

3x - 4 = 2x + 5

x = 9

BC = 2x + 5 = 2 × 9 + 5 = 23

Please help I have 7 assignments due today

Please help I have 7 assignments due today

Answers

Answer:

A

Step-by-step explanation:

Add all 3 angles together and you get 4x + 16 = 180

If you have an independent group design and ordinal data, which test do you use?

Answers

The test to use when there's an independent group design and ordinal data is the Kruskal Wallis test

Given: Independent group and ordinal data. To find which test to use.

What's the Kruskal Wallis test?

The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.

The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.

The null thesis for the Kruskal- Wallis test simply states that there are no methodical or harmonious differences among the treatments being compared.

How to calculate the Kruskal Wallis test?

The computation of the Kruskal- Wallis statistic requires

Combine the individualities from all the separate samples and rank order the entire group.Regroup the individualities into the original samples and cipher the sum of the species( T) for each sample. A formula is used to cipher the Kruskal- Wallis statistic which is distributed as a ki-square statistic with degrees of freedom equal to the number of samples minus one. The attained value must be lesser than the critical value for ki- forecourt to reject H0 and conclude that there are significant differences among the treatments.

Hence as is mentioned for an independent group design and ordinal data so we use the Kruskal Wallis test.

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We can use the Kruskal Wallis test when we have an independent group design and ordinal data.

We are given an independent group design and ordinate data.

We need to tell which test to use on them.

The Kruskal Wallis test is used when you have one independent variable with two or more situations and one ordinal dependent variable. In other words, it is an interpretation of ANOVA table and a generalized form of the Mann- Whitney test system.

The null hypothesis for the Kruskal- Wallis test tells us that:

There are no methodical or harmonious differences among the treatments being compared.

Therefore, we can use the Kruskal Wallis test when we have an independent group design and ordinal data.

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in a bag of marbles, 1 2 are red, 1 4 are blue, 1 6 are green, and 1 12 are yellow. you pick a marble without looking. what color marble are you most likely to choose?

Answers

Yellow because there are more yellow marbles than other colours

what is the smallest three digist number divisible by the first three prime numbeers and the first three composite numberse

Answers

The smallest three-digit number divisible by the first three prime numbers (2, 3, and 5) and the first three composite numbers (4, 6, and 8) is 120.

The first three prime numbers are 2, 3, and 5. The first three composite numbers are 4, 6, and 8. In order for a number to be divisible by all six of these numbers, it must be divisible by their least common multiple (LCM).

The LCM of 2, 3, 5, 4, 6, and 8 is 120. Therefore, the smallest three-digit number divisible by the first three prime numbers and the first three composite numbers is 120.

Here is a more detailed explanation of how to calculate the LCM:

Find the prime factorization of each number.

Find the highest power of each prime factor.

Multiply the prime factors together, using the highest power for each factor.

The prime factorization of 2 is 2^1.The prime factorization of 3 is 3^1.The prime factorization of 5 is 5^1.The prime factorization of 4 is 2^2.The prime factorization of 6 is 2^1 * 3^1.The prime factorization of 8 is 2^3.

The highest power of 2 that appears in any of the prime factorizations is 2^3.

The highest power of 3 that appears in any of the prime factorizations is 3^1.

The highest power of 5 that appears in any of the prime factorizations is 5^1.

Therefore, the LCM of 2, 3, 5, 4, 6, and 8 is 2^3 * 3^1 * 5^1 = 120.

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6. The adjacent angles shown below are supplementary. Find the value of x. ​

6. The adjacent angles shown below are supplementary. Find the value of x.

Answers

Step-by-step explanation:

that means together they must be 180°.

so,

3x + 54 = 180

3x = 126

x = 42

Which number, when substituted for x, makes the equation 4+8=16 true?

Answers

Answer:

4

Step-by-step explanation:

Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form?

Part B: Explain the closure property as it relates to addition of polynomials. Give an example.

Answers

The polynomial in standard form is y = 12x³ - 5x² + 5x + 17 and the addition closure property implies that addition of polynomial gives polynomial

How to determine a third-degree polynomial

The mathematical statement is given as:

Create a polynomial

A polynomial in standard form can be represented as

y = axⁿ + ...... + c

In the above representation, the variable n represents the degree of the polynomial

This means that

n = 3 in a third degree

So, an instance of the polynomial could be

y = 12x³ - 5x² + 5x + 17

It is in standard form, because the exponents are in decreasing order from 3

The closure property

The closure property states that "when something is closed, the output will be the same type of object as the inputs"

In this case, it means that when polynomials are added, the result is a polynomial

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Devon has 4 3/4 bags of soil to put in hs flower bed each bag will cover 15 ft2 how many squares will he be able to cover

Answers

Devon will be able to cover 71.25 ft² of flower bed.

The number of bags of soil Devon has = \(4\frac{3}{4}\)

Converting mixed fraction to fraction

Number of bags of soil = (4×4+3)/4

Performing multiplication and addition in numerator to find the number of bags of soil with Devon

Number of bags of soil = 19/4

Now, it is stated that area covered by 1 bag = 15 ft²

So, 19/4 bags will cover area = 15×(19/4)

Performing multiplication and division to find the area covered by the bags of soil

Area covered by bags of soil Devon has = 71.25 ft²

Hence, the area covered by bags of soil Devon has is 71.25 ft²

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The complete question is -

Devon has 4 3/4 bags of soil to put in his flower bed. Each bag will cover 15 ft2. How many square feet will he be able to cover?

The formula for average speed when traveling a distance of ddd over a time ttt is \dfrac dt
t
d

start fraction, d, divided by, t, end fraction.
Jeff and Cameron are arguing about which one of them is faster. Jeff says "I can run 777 kilometers per hour!" and Cameron says "I can run 100100100 meters per minute!"

Answers

Answer:

Jeff is faster

Step-by-step explanation:

kilometers are faster than meters

and 7 kilometers is 700 meters

so 100 meters isn't fast enough compared to Jeff's speed

Jeff is faster than Cameron as his average speed is more than that of Cameron's average speed.

How to calculate the average speed of a body?

The average speed of a body is the ratio of the distance covered by the body to the time it takes to cover that distance.

How to solve the given question?

In the question, we are given that Jeff says that he can run 7 kilometers per hour while Cameron says that he can run 100 meters per minute.

We are asked to tell who is the faster among them.

We need to know that, 1 kilometer = 1000 meters, and 1 hour = 60 minutes.

Jeff's average speed = 7 km/hr. = 7km/1hr = (7*1000) m / (1*60) min

or, Jeff's average speed = 7000/60 meters per minute = 116.67 meters per minute.

We are given that Cameron's average speed is 100 meters per minute.

So, we can say that Jeff is faster than Cameron, as

Jeff's average speed > Cameron's average speed.

∴ Jeff is faster than Cameron as his average speed is more than that of Cameron's average speed.

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Air is being pumped into a spherical balloon at the rate of 7 cm³/sec. What is the rate of change of the radius at the instant the volume equals 36n cm³ ? The volume of the sphere 47 [7] of radius r is ³.

Answers

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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What is the equation that represents the sequence in this problem ? Find the price after the 8th month

What is the equation that represents the sequence in this problem ? Find the price after the 8th month

Answers

ANSWER

\(\begin{gathered} a_n=ar^{n\text{ - 1}} \\ a_8\text{ = \$38.26} \end{gathered}\)

EXPLANATION

The problem represents a geometric progression.

The general form of a geometric sequence is:

\(a_n=ar^{n\text{ - 1}}\)

where a = first term

r = common ratio

The first term from the table is the first price (for the first month). That is $80.00

To find the common ratio, we divide a term by its preceeding term.

Let us divide the price of the second month from the first.

We have:

\(\begin{gathered} r\text{ = }\frac{72}{80} \\ r\text{ = 0.9} \end{gathered}\)

The price after the 8th month is the value of a(n) when n = 8

So, we have that:

\(\begin{gathered} a_8\text{ = 80 }\cdot0.9^{(8\text{ - 1)}} \\ a_8\text{ = 80 }\cdot0.9^7 \\ a_8\text{ = \$38.26} \end{gathered}\)

Use a single digit times a power of 10 to estimate the number 0.000007328.
Question content area bottom

Rounded to the nearest​ millionth, the number is about

Answers

The estimation of 0.000007328 is \(7\times10^{-6\).

What is estimation?

Estimation is he ability to guess the amount of anything without actual measurement.

The number (n) is given as:

\(\text{n}=0.000007328\)

Multiply by 1

\(\text{n}=0.000007328\times1\)

The number is to be rounded to the nearest millionth.

So, we substitute \(\frac{1000000}{1000000}\) for 1

\(\text{n}=0.000007328\times1\)

\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)

This becomes

\(\text{n}=7.328\times\dfrac{1}{1000000}\)

Express the fraction as a power of 10

\(\text{n}=7.328\times10^{-6\)

Approximate to a single digit

\(\rightarrow\bold{n=7\times10^{-6}}\)

Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).

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its a word problem, please help me out with it​

its a word problem, please help me out with it

Answers

Answer:

If I dont get 5 stars u guys hate kobe bryant

Step-by-step explanation:

d

Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them. What is the probability that she pulled out a red marble first and a yellow marble second? Express your answer in decimal form, rounded to the nearest hundredth. 0.09 0.13 0.25 0.32A bag contains one red pen, four black pens, and three blue pens. Two pens are randomly chosen from the bag and are not replaced. To the nearest hundredth, what is the probability that a black pen is chosen first and then another black pen is chosen? 0.02 0.19 0.21 0.25

Answers

1. The probability that she pulled out a red marble first and a yellow marble second is 0.13 (2nd option)

2. The probability that a black pen is chosen first and then another black pen is chosen is 0.21 (3rd option)

1. How do i determine the probability of pulling red first and then yellow marble?

First, we shall obtain the total marbles in the bag. Details below:

Red marble (R) = 4Blue marble (B) = 4Yellow marble (Y) = 12Total marble =?

Total = 4 + 4 + 12

Total marble = 20

Next, we shall obtain the probability of pulling red marble first. Details below:

Red marble (R) = 4Total marble = 20Probability of red, P(R) =?

P(R) = 4/20

P(R) = 0.2

Next, we shall obtain the probability of pulling yellow marble in the 2nd pull. Details below:

Yellow marble (Y) = 12Total marble = 19Probability of yellow, P(R) =?

P(Y) = 12/19

P(R) = 0.63

Finally, we shall obtain the probability of pulling red followed by yellow marble. Details below:

Probability of red, P(R) = 0.2Probability of yellow, P(R) = 0.63Probability of red followed by yellow, P(RY) =?

P(RY) = P(R) × P(Y)

P(RY) = 0.2 × 0.63

Probability of red followed by yellow = 0.13 (2nd option)

2. How do i determine the probability of chosen black first and another black pen?

First, we shall obtain the total pen in the bag. Details below:

Red pen (R) = 1black pen (B) = 4blue pen (BL) = 3Total pen =?

Total = 1 + 4 + 3

Total pen = 8

Next, we shall obtain the probability of chosen black pen first. Details below:

black pen (B) = 4Total pen = 8Probability of 1st black, P(1st B) =?

P(1st B) = 4/8

Next, we shall obtain the probability of chosen another black pen. Details below:

black pen (B) = 3Total pen = 7Probability of 2nd black, P(2nd B) =?

P(2nd B) = 3/7

Finally, we shall obtain the probability of pulling red followed by yellow marble. Details below:

Probability of 1st black, P(1st B) = 4/8Probability of 2nd black, P(2nd B) = 3/7Probability of black and black pen, P(1st B and 2nd B) =?

P(1st B and 2nd B) = P(1st B) × P(2nd B)

P(1st B and 2nd B) = 4/8 × 3/7

Probability of black and black pen = 0.21 (3rd option)

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Before a piece of steel can be sold for its maximum price, it must be 35 feet long with an absolute error of 1 foot. Find the range of acceptable heights for steels that are to be sold at full price by writing an absolute value inequality to represent this situation then solving it.

Answers

Let's call x to the height. The inequality that represents an acceptable range is:

|x - 35| ≤ 1

Solving it, we get:

x - 35 ≤ 1 or x - 35 ≥ -1

x ≤ 1 + 35 x ≥ -1 + 35

x ≤ 36 x ≥ 34

which is equivalent to 34 ft ≤ x ≤ 36 ft

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