6x - 2y= 18
Find the x-intercept and the y-interc
Then use them to graph the line.

The probability of not selecting a green marble is equal to the total number of non-green marbles in the bag divided by the total number of marbles in the bag.

To calculate the probability: there are three green marbles out of a total of twenty-five marbles, so the probability of selecting a green marble is 3/25.

The likelihood of not selecting a green marble is then 1 - 3/25 = 22/25.

This is equal to 22/25 * 100 = 88% as a percentage.

As a result, P(not green) = 88%

Probability denotes the possibility of something happening. It is a mathematical branch that deals with the onset of a random event. The value ranges from zero to one. Probability has been tried to introduce in mathematics to predict the probability of events occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also used in probability distribution, in which you will learn about the possible outcomes of a random experiment.

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Step-by-step explanation:

-10x - y = 27 ...1

-4x - y = 9 ...2

...1 - ...2

-10x -y - (-4x - y) = 27 - 9

-10x -y +4x + y = 18

-10x + 4x = 18

-6x = 18

x = 18/(-6)

= -3

Answer:

x = - 3, y = 3

Step-by-step explanation:

Given the 2 equations

- 10x - y = 27 → (1)

- 4x - y = 9 → (2)

Multiplying (1) by - 1 and adding to (2) eliminates the term in y

10x + y = - 27 → (3)

Add (2) and (3) term by term to eliminate y

6x = - 18 ( divide both sides by 6 )

x = - 3

Substitute x = - 3 into either of the 2 equations and solve for y

Substituting into (2)

- 4(- 3) - y = 9

12 - y = 9 ( subtract 12 from both sides )

- y = - 3 ( multiply both sides by - 1 )

y = 3

Solution is x = - 3, y = 3

The missing angle represented by 6 is 107 degrees

Supplementary angles are a pair of angles that add up to 180 degrees. In other words, if you have two angles that, when combined, create a straight line, then they are supplementary angles.

Angles on a straight line are supplementary and hence the potion that has 6 is equal to say x

x + 73 = 180

x = 180 - 73

x = 107 degrees

Supplementary angles can be found in many geometric shapes, such as triangles, quadrilaterals, and polygons.

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Answer:

See explanation

Step-by-step explanation:

When we have a positive number and a negative number, let's imagine it with a number line.

<-----------0----------->

If we have the positive number 1:

<-----------0--1-------->

And we want to subtract 1 from it, the number would move to the left

1 - 1 = 0

<-----------0----------->

However, if we were to subtract a negative number, they are opposites. It can't move to the left because that's what a positive number does. The only other way to go: right.

1 + -1 = 2

<-----------0--1--2----->

Hope this helped!

Answer:

Measure of arc TSU = 201°

Step-by-step explanation:

For the inscribed circle of  triangle XYZ, we have;

∠XZY = 21°

Segment TZ and segment  UZ are tangent to circle R

Therefore, ∠ZUR = ∠ZTR = 90° (angle formed by a tangent)

Length UR = Length TR = Radius of circle R

∴ ΔZTR ≅ ΔZUR Side Angle Side (SAS) rule of Congruency

∴ ∠RZT ≅ ∠RZU, (Congruent Parts of Congruent Triangles are Congruent, CPCTC)

∠XZY = ∠RZT + ∠RZU (Angle summation)

21° = ∠RZT + ∠RZU  = 2×∠RZU (Transitive property)

∠RZU = 21°/2 = 10.5° = ∠RZT

∴ ∠URZ = 180- 90 - 10.5 = 79.5° = ∠TRZ (CPCTC)

arc TU = ∠URT = ∠URZ + ∠TRZ = 79.5 + 79.5 = 159° (angle addition)

∴ Measure of arc TSU = 360° - 159° = 201° (Sum of angles at the center of the circle R)

Measure of arc TSU = 201°.

A negative correlation means that as the x variable decreases, the y variable tends to decrease as well. In other words, there is an inverse relationship between the two variables.

A negative correlation indicates that when the value of one variable decreases, the value of the other variable also tends to decrease. It implies an inverse relationship between the two variables. For example, if we consider the variables "temperature" and "ice cream sales," a negative correlation would mean that as the temperature decreases, the sales of ice cream also tend to decrease.

To determine the strength of a negative correlation, we can calculate the correlation coefficient, often denoted by "r." The correlation coefficient ranges from -1 to +1, with -1 indicating a perfect negative correlation. The closer the value of "r" is to -1, the stronger the negative correlation between the variables.

In summary, a negative correlation suggests that as the x variable decreases, the y variable tends to decrease as well. It signifies an inverse relationship between the two variables. The strength of the negative correlation can be measured using the correlation coefficient, where values closer to -1 indicate a stronger negative correlation.

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Question:

Brianna solved a two-step equation, but she made a mistake along the way.

\(0.1x + 3 = 1.7\)

Line 1 : \((-3) + 0.1x + 3 = 1.7 + (-3)\)

Line 2 : \(0.1x = -1.3\)

Line 3 : \((-0.1) + 0.1x = -1.3 + (-0.1)\)

Line 4: \(x = -1.4\)

Answer:

On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1.

Step-by-step explanation:

Required

Where did she make a mistake?

To do this, we simply analyse her workings one step at a time

Equation: \(0.1x + 3 = 1.7\)

Line 1 : \((-3) + 0.1x + 3 = 1.7 + (-3)\)

This is correct because she subtracted 0.3 from both sides

Line 2 : \(0.1x = -1.3\)

This is also correct because she performed the arithmetic correctly

Line 3 : \((-0.1) + 0.1x = -1.3 + (-0.1)\)

This is incorrect.

Division by 0.1 is expected not subtraction

Answer:

It's C

Step-by-step explanation:

The area under the standard normal curve where P(Z > -0.5) is 0.6915. To find this, we can use a standard normal distribution table or a calculator with a normal distribution function.

First, we need to find the z-score associated with -0.5. We know that the mean of the standard normal distribution is 0 and the standard deviation is 1. So, the z-score can be calculated as z = (x - μ) / σ = (-0.5 - 0) / 1 = -0.5. Now, we can look up the area to the right of the z-score -0.5 in a standard normal distribution table. The area is 0.6915, which means that the probability of getting a z-score greater than -0.5 is 0.6915.

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Answer:

1053 m^3

Step-by-step explanation:

Pyramid top   1/3 * 9 * 9 * 12 = 324 m^3

Base  9 * 9 * 9  = 729 m^3

total  1053 m^3

In order for a graph to be considered a time series graph, it must have a series of data points that are displayed in chronological order over a period of time.

Graph is a data structure which is used to represent a set of connected objects. It is composed of nodes and edges which represent the relationships between the objects. Graphs are used to represent different types of data such as networks, trees, and more. They can be used to model different types of relationships such as relationships between people, objects, and even ideas. Graphs are also used in a variety of applications including route-finding, graph theory, and data mining.

This means that the data must be plotted on the graph according to when it was collected, with the earliest data points on the left and the most recent data points on the right. The data points must be consistently spaced apart; for example, if the data points represent daily measurements, then the data points should be one day apart. Additionally, the graph should show the overall trend of the data over the period of time. Ideally, the graph should also show the variability of the data points over the period of time.

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If a rancher has 720 feet of fencing with which to enclose two adjacent rectangular corrals, the dimensions are 90 feet and 120 feet

From the figure

4x + 3y = 720

3y = 720 - 4x

y = 240 - (4/3)x

The area = l × w

Where l is the length

w is the width

Substitute the values in the equation

A = 2x × y

= 2x (240 - (4/3)x)

Apply the distributive property

= 480x - (8/3)x^2

Differentiate the values

0 = (-16/3)x + 480

(16/3) x = 480

x = 480 / (16/3)

x = 90 feet

Then,

y = 240 - (4/3)(90)

= 120 feet

Hence, the dimensions are 90 feet and 120 feet

I have answered the question is general, as the given question is incomplete.

The complete question is

A rancher has 720 feet of fencing with which to enclose two adjacent rectangular corrals (see figure). what dimensions should be used so that the enclosed area will be a maximum?

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Answer:

D

Step-by-step explanation:

Answer:

C =9

Step-by-step explanation:

10(c−1)=80

Step 1: Simplify both sides of the equation.

10(c−1)=80

(10)(c)+(10)(−1)=80(Distribute)

10c+−10=80

10c−10=80

Step 2: Add 10 to both sides.

10c−10+10=80+10

10c=90

Step 3: Divide both sides by 10.

10c

10

=

90

10

c=9

Answer:

The first three are functions

Step-by-step explanation:

4th one fails the Vertical line test.

A quiz score of 78 is indeed regarded as unusual.

The number of standard deviations that a score or value (x) deviates from the mean is known as the Z score (Z value). Z-score quantifies data dispersion, to put it another way. Z-score, according to the technical definition, indicates how many standard deviations a number (x) is below or above the population mean ().

Given:

The group mean: μ= 76

Typical Deviation: б= 4.1

Let X serve as the random variable representing the students' test results.

The z-score formula is as follows:

z= \(\frac{x-u}{\alpha }\)

For x= 78

\(z= \frac{78-76}{4.1} \\z= \frac{2}{4.1} \\z= 0.4878\)

Given that the z-score is smaller than 1.96, it is unexceptional.

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Step-by-step explanation:

Write 98 as the product of prime factors. Write the prime factors in ascending order.​

2 × 7 × 7

2 × 7 × 7 = 98

Answer: 2×7×7

Step-by-step explanation: 98= 2×7×7

Lets first know about what is prime factor :- A factor which is a Prime number and not a composite number.

prime factor in ascending order = 2,7

hence the required product of prime factor is 2×7×7 or 2×\(7^{2}\)

Answer:

c is 90 degrees and b is 10 degrees hope its right

Step-by-step explanation:

The relation which we see between the orders of the elements of a group and the order of the group is smallest positive power.

G = U(20), order of each element of G = ?

The smallest positive power of an element that gives you your identity is the order of the element in a group. Three instances are covered: complex numbers, a 2x2 rotation matrix, and real number elements of finite order.

G = U(20) = {1,3,7,9,11,13,17,19}

⇒ 3° ≡ 1, 3¹ ≡ 3, 3² ≡ 9, 3³ ≡ 7, 3¹ ≡ 1(20)

∴ order of 3 = 4

7⁴ ≡ 1 (mod 20) → order (7) = 4

9² ≡ 1 (mod 20) → order (9) = 2

11² ≡ 1 (mod 20) → order (11) = 2

13² ≡ 9(mod 20) → 13⁴ ≡ 81(mod 20) → 13⁴ ≡ 1 (mod 20)

⇒ order (13) = 4

order  07 = 4

17 ≡-3(mod 20) ⇒ 17² ≡ yy (mod 20)

⇒ 17⁴ ≡ 81 (mod 20) ≡ 1 (mod 20) ⇒

19 = -1 (mod 20)

19² ≡ 1 (mod 20) ⇒ order (19) = 2

Hence we get the requires answer.

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well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Answer:

Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.

The product is positive since \(a^{(72)}\) is positive (without a question control), the division is negative, and 'a' is negative.

Let's analyze the expression step by step:

\(a^{72}:\) This term talks to a raised to the control of 72.

left(dfrac{-3}{7}right): This term talks to -3/7, a division with a negative respect.

a: This term talks to the variable "a".

To select the sign of the expression, we have to consider the person parts:

\(a^{72}\) can be a positive number since any positive base raised to an without-a-question control comes around in a positive respect.

left(dfrac{-3}{7}right) may be a negative division.

a may be a negative number concurring with the address.

By and by, let's put it all together:

a^{72} cdot left(dfrac{-3}{7}right) cdot a

Since a^{72} is positive, left(dfrac{-3}{7}right) is negative, and "a" is negative, the extraordinary product will be positive:

Positive number\((a^{72})\) × Negative number left(dfrac{-3}{7}right) × Negative number (a) = Positive number.

In this way, the expression will result in positive respect when "a" may be a negative number.

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Answer:

21 you stoopid

Answer:19 smh

Step-by-step explanation:

To find the slope of a line, we need to take two point of the graph where the line crosses the corners of the grid.

We can take the following two points:

We will use the definition of the slope:

And we draw a a triangle between the points to find the change in x and the change in y:

We substitute the changes in the slope formula:

Answer: 3/2

Answer:

4000m

1k =1000m

Step-by-step explanation:

Answer:

First of all, let's multiply both sides by 5, clearing the denominators:

Then, as long as g is not zero, we can divide by g, and let's read right to left:

At this point, assuming F and g are either both positive or both negative, we can take the square root of both sides:

If h represent a quantity that is positive by it's nature (ie, the length of a segment) you can consider only the positive root, ie ignoring the plus or minus sign.

Answer:

162

Step-by-step explanation:

Given algebraic expression:

To:

Solution:

Simplify by plugging x = 6

We can conclude:

By evaluating this expression by x = 6 , the answer will be 162.

Answer:

Step-by-step explanation:

\(\sqrt{25}\) = \(5\) \(because\)

\(5\cdot5\) = \(?\)

\(25\)

\(Which\) \(means\) \(the\) \(answer\) \(is\) \(5\).

Hope this helps! <3

Answer:

your answer would be zero,nothing,0.

Step-by-step explanation:

Answer:

I THINK ITS 0....

Step-by-step explanation:

14:3 is the ratio of the total number of paper clips to the number of red paper clips, given there are 3 red paper clips, 5 yellow paper clips, and 6 silver paper clips in a jar.

Red paper clips= 3

yellow paper clips= 5

silver paper clips = 6

Total paper clips= 3 + 5 +  6 = 14

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0.

3 red, 5 yellow, and 6 silver paper clips combined to make a total of 14 paper clips. Three red clips are present. Since the ratio of total paper clips to red paperclips is being requested, total paperclips are entered first in the ratio, followed by red paperclips.

The ratio of the total number of paper clips to the number of red paper clips+ 14/6 =  14:3

Hence, 14:3 is the ratio of the total number of paper clips to the number of red paper clip

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Jill can select two different books in 15 different ways.

The number of ways Jill can select two different books can be calculated using the concept of

combinations

.

To find the number of combinations, we can use the formula nCr, which stands for "n choose r". In this case, "n" represents the total number of books Jill has, and "r" represents the number of books she will select.

In this question, Jill has 6 different books. On Monday, she will select one book, and on Wednesday, she will select a different book. So, we need to calculate the number of ways Jill can select 2 different books from a pool of 6.

Using the formula nCr, we can calculate the number of combinations as follows:

nCr = n! / (r!(n-r)!)

n! represents the factorial of a number, which is the product of all positive integers less than or equal to that number.

In this case, n = 6 and r = 2.

n! = 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
r! = 2! = 2 x 1 = 2
(n-r)! = (6-2)! = 4! = 4 x 3 x 2 x 1 = 24

Now, we can substitute these values into the formula:

nCr = 720 / (2 x 24) = 720 / 48 = 15

Therefore, Jill can select two different books in 15 different ways.

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