Which graph represents the system of equations –3x + y = 3 and –x + 2y = –4?

The greatest number of outfits Jose can buy is 6

The given parameters are:

Let the number of new biking outfits be x

So, we have

New bicycle + 4 * price of bicycle reflectors + Pair of a bike gloves + New biking outfits ≤ Budget

This gives

284.52 + 4  * 15.65 + 11.31 + 31.95x ≤ 580

This gives

358.43 + 31.95x ≤ 580

Solve the inequality

31.95x ≤ 221.57

Divide

x ≤ 6.93

This gives

x ≤ 6

Hence, the greatest number of outfits is 6

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Answer:

the domain is the x values: -5,-4,-2,0,1

The range is the y values: -1, 1, 3, 4

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ: π > 0.79

Statistic Z = -26.38

P-value = 0

Conclusion : The null hypothesis is

rejected .

Final Conclusion : which implies that population proportion is different from

π= 0.79.. This sample proportion can notbe product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

We have problem of proportion and we have to apply hypothesis testing in it .

We claim that the selection is biased against allowing this ethnicity to sit on the grand jury. This means that proportion of people of enthic selected for jeury in a way below from proportion that eligible for jury .

Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ : π> 0.79

The significance level is 0.01

The sample we will use is total of 876 people that were selected for grand jury duty (n= 876). 42% of them were entnicity for which we are testing , so sample proportion is p= 0.42

The standard error is

σₚ= s√ (π(1-π)/n)= √ 0.79 (1-0.79)/ 876 = √0.00019 = 0.0137~ 0.014

Then we can calculate Z – value

Z = (p-π+0.5/n)/ σₚ =( 0.42 – 0.79 + 0.5/876 )/ 0.014 = - 0.03964/0.014 = - 26.387

P-value for this test statistic is 0

P-value (z<-26.38)= 0

P-value = 0 < 0.01

As we see that P-value is less lower then significance level . This sample result is unpredictable. The null hypothesis is rejected which implies that population proportion is different from π= 0.79

This sample proportion can not be product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

#Complete Question:

In a recent court case it was found that during a period of 11 years 876 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.5% were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Which of the following is the hypothesis test to be conducted?

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Explanation:

The slope of the line

y = x + 17 is ___. 1

2. The slope of the line

y = x - 7/9 is ___. 1

The equation of a line on a point (-2,2) is y = -2x-2. That option A is correct.

Here we have to find the equation of a line.

The given data:

Point = ( -2, 2)

Slope(m) = -2

Equation of a line:

y = mx + c

Now putting the values as

y = 2

x = -2

m = -2

We will get the y-intercept.

So we have:

2 = -2 × -2 + c

c = 2 - 4

  = -2

So, y = -2x -2

Therefore we get the equation of line as y = -2x -2.

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Answer:

[tex]y = \frac{1}{3} {x}^{3} + 6x - \frac{9}{x} - 4[/tex]

Step-by-step explanation:

explanation shown in picture ^^

8 strings can be formed with all vowels from a, b, c, d, e and 27 strings can be formed with all consonants from a, b, c, d and e.

What is permutation and combination?
A permutation is an orderly arrangement of things or numbers.
Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
The amount of two-letter words that can be created using the letters in a word, like GREAT, is an illustration of permutations: ⁵P₂ = 5!/(5-2)!
How many different ways we may write the words utilizing the vowels in the word GREAT is an example of a combination: ⁵C₂ = 5!/[2! × (5-2)!]

Given, the letters that can be used to create the required three letter word in question: a, b, c, d, e.
Total number of letters that can be used = 5
Total number of vowels in the available letters to be used = 2 ('a' and 'e')
Total number of consonants in the available letters to be used = 3 ('b', 'c' and 'd')
Case 1: A three letter word having all vowels where letters can be repeated
Here, since two letters are to put in three empty positions, the total number of ways to form this word = 2³ = 2 × 2 × 2 = 8
Case 2: A three letter word having all consonants where letters can be repeated
Here, since three letters are to put in three empty positions, the total number of ways to form this word = 3³ = 3 × 3 × 3 = 27
Thus, 8 strings can be formed with all vowels from a, b, c, d, e and 27 strings can be formed with all consonants from a, b, c, d and e.

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Answer:

7/65

Step-by-step explanation:

After applying the distributive property, Ezra's expression was 8y + 16.

After he used the commutative property, his expression was 16 + 8y.

When using the distributive property, we are able to expand an expression with a bracket by multiplying the things in the bracket with the things outside:

8( y + 2)  becomes:

= (8 x y) + (8 x 2)

= 8y + 16

The commutative property on the other hand, means that when adding, the position of the number does not matter. For instance, a + b = b + a

When the commutative property is applied therefore, we get:
8y + 16 = 16 + 8y

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Answer:

i think it might be c

Step-by-step explanation:

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

Using the distance formula,

[tex]\sqrt{(4-(-2))^2+(8-2)^2} \\ \\ =\sqrt{6^2+6^2} \\ \\ =6\sqrt{2}[/tex]

Answer:

6(sqrt(2))

Step-by-step explanation:

Use the "distance formula" (sqrt((x2-x1)^2 - (y2-y1)^2)), plugging in (4,8) for x1 and y1, and (-2,2) for x2 and y 2

The net worth of Delilah given the assets and liabilities will be $24197.

From the information given, Delilah has assets that total $56,326 and liabilities that total $32,129.

It should be noted that the formula to calculate the net worth will be:

= Assets - Liabilities

= $56,326 - $32,129

= $24197

The net worth is $24197.

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The value of the missing interior angle is 25°

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.

given angles of the triangle, 90° and 65°

Let, the unknown angle be x

so that,

x + 90 + 65 = 180 ( sum of angles in a triangle)

x + 155 = 180

x = 180 - 155

x = 25°

In conclusion, the unknown angle is 25°

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The notation used for a vector pointing into the point is X.

A quantity with a magnitude and direction is called a vector. A vector quantity will be identified in these annotations by a bold letter (such as the electric field vector E). Vectors appear graphically as straight arrows. The magnitude of the vector is commonly represented by the length of the arrow, and both the arrow and the vector point in the same general direction.

Arrows are drawn on the page to represent vectors in the page's plane. Typically, circles with an X engraved on them are used to represent vectors that enter the screen's plane. A vector that deviates from the screen's plane is often represented by circles with dots in the center.

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If 700% of a number is 1540, then the number is 220

The given percentage = 700%

The percentage of a number is defined as the ratio that can be expressed as the fraction of 100.

Consider the number as x

Here the 700% of the number is 1540

Then the equation will become

x × 700% = 1540

Solve the equation and find the value of x

x × (700/100) = 1540

Divide the terms first

x × 7 = 1540

Move the 7 to the right hand side of the equation

x = 1540/7

Divide the terms

x = 220

Hence, if 700% of a number is 1540, then the number is 220

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The solution for the system of equations -

x+3y+z=-8      

2x+y-6z=20    

x-2y+z=-13    

is x = 5.875, y = 1, z = 16.875

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line in point slope form can be also written as-

[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

We have the following set of equations -

x+3y+z=-8       ..[1]

2x+y-6z=20     ..[2]

x-2y+z=-13        ..[3]

We can write eq [3] as -

z = - 13 - x + 2y

So, eq [1] and [2], will become -

x + 3y + (-13 - x + 2y) = -8

x + 3y - 13 - x + 2y = -8

5y = - 8 + 13

5y = 5

y = 1       ..Eq[4]

AND

2x + y - 6z = 20

2x + y - 6(- 13 - x + 2y) = 20

2x + y + 78 + 6x - 12y = 20

2x + 1 + 78 + 6x - 12 = 20

8x = 47

x = 5.875      ..Eq[5]

Now -

x - 2y + z = -13

5.875 - 2 + z = - 13

z = 16.875

Therefore, the solution for the system of equations -

x+3y+z=-8      

2x+y-6z=20    

x-2y+z=-13    

is x = 5.875, y = 1, z = 16.875.

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The ratios that are equivalent to 3 parts silver paint to 4 parts green paint are: 6:8 and 9:12.

A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

Generally speaking, a proportional relationship can be represented by the following mathematical expression:

x = ky

Where:

In this context, the constant of proportionality or ratio of the quantity of silver paint (parts) to green paints (parts) can be calculated as follows:

Constant of proportionality (k) = x/y

Constant of proportionality (k) = 3/4

Now, we can determine the equivalent ratios as follows:

Equivalent ratio = 4/5 ≠ 3/4

Equivalent ratio = 6/8 = 3/4 (divide by 2)

Equivalent ratio = 5/6 ≠ 3/4

Equivalent ratio = 9/12 = 3/4 (divide by 3).

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the answer is 6:8 and 9:12

Step-by-step explanation: hope this helped ;D

The fewest possible number of green marbles in the bag is 5.

As per the stated question.

Since there is a 35% possibility of obtaining a red, the same percentage must apply to getting a white.

35+35=70%

You have a 100% probability of selecting a marble,

70+30=100

The probability that you will select a blue or green stone must thus be 30%.

And if there are B blue marbles, then there will be 5 green marbles.

B+5B=30%

6B=30%

Blue=5%

Green = 30-5=25%

Thus, the ratio becomes.

Red: White: Green : blue

35  : 35     :       25:    5

Dive each by 5.

7    : 7      :      5   :   1

Thus, the fewest possible number of green marbles in the bag is 5.

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The complete question is-

A bag contains red marbles, white marbles, green marbles, and blue marbles. There are an equal number of red marbles and white marbles, and five times as many green marbles as blue marbles. There is a 35% chance of selecting a red marble first. What is the fewest possible number of green marbles in the bag?

The probability that exactly one of the accessories, be 0.678

The probability that exactly two of the accessories, be 0.11

The probability that at least one of the accessories, be 0.884

The probability that at least two accessories, be 0.206

The probability that at most one of the accessories, be 0.794

The probability that at most two of the accessories, be 0.904

The probability that a case or a warranty, but not both be, 0.726

The probability that a case but neither of the other two accessories be, 0.634

The probability that a warranty and a dock but not a case be, 0.018

Given, a computer store compiled data that 500 purchasers of new tablets bought at the same time they bought the tablet.

Let A be the set of purchasers we bought cases,

B be the set of purchasers we bought extended warranty,

C be the set of purchasers we bought dock,

Now, A = 411 , B = 82 , C = 100

also, A∩B = 65 , B∩C = 57 , A∩C = 77 and A∩B∩C = 48 , A'∩B'∩C' = 58

(a) the probability that exactly one of the accessories, be

P(A)-P(A∩B)-P(A∩C)+P(A∩B∩C) + P(B)-P(A∩B)-P(B∩C)+P(A∩B∩C) + P(C)-P(C∩B)-P(A∩C)+P(A∩B∩C) = 411-65-77+48+82-57-65+48+100-57-77+48

= 339/500

= 0.678

(b) the probability that exactly two of the accessories, be

P(A∩B)+P(B∩C)+P(A∩C)-3P(A∩B∩C) = 65+57+77-48-48-48

= 55/500

= 0.11

(c) the probability that at least one of the accessories, be

who bought 1 or 2 or all 3 accessories be,

= 0.678 + 0.11 + 0.096

= 0.884

(d) the probability that at least two accessories, be

who bought 2 or all 3 accessories be,

= 0.11 + 0.096

= 0.206

(e)  the probability that at most one of the accessories, be

who bought nothing or one accessories be,

= 0.116 + 0.678

= 0.794

(f) the probability that at most two of the accessories, be

who bought nothing or 1 or 2 accessories be,

= 0.116 + 0.678 + 0.11

= 0.904

(g) the probability that a case or a warranty, but not both

= 0.822 + 0.164 - 0.26

= 0.726

(h) the probability that a case but neither of the other two accessories

=  0.634

(i) the probability that a warranty and a dock but not a case

= 0.018

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Answer:

  600

Step-by-step explanation:

You want to use distributive property to answer (15x6) + (85x6).

The distributive property shows you what you can do with a common factor:

  (15×6) + (85×6) = (15 +85)×6 . . . . . . apply the distributive property

  = 100 × 6 . . . . . . evaluate the sum in parentheses

  = 600 . . . . . . perform the multiplication

Answer: 1 11/20

hope this helps :)

Answer:

x = 3

Step-by-step explanation:

f(x)=4x - 1

f(x)=11, find x.

We want the value of x that would make 4x-1 equal to 11.  Use 11 instead of f(x):

f(x)=4x - 1

11=4x - 1

Solve:

12 = 4x

x = 3

If x were 3, 4x-1 would be 4*3-3 or 11

Answer: sure:)

Step-by-step explanation:

The values of x and y in the similar triangles are 3 and 2 respectively.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, using similar triangle ratio, let's find the value of x and y.

x / 6 = 1.5 / 3

cross multiply

3x = 1.5 × 6

3x = 9

divide both sides by 3

x = 9 / 3

x = 3

Let's find y.

y / 4 = 1.5 / 3

cross multiply

3y = 6

divide both sides by 3

y = 6 / 3

y = 2

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The 4 possible solutions in the context of the problem are (0, 8), (3, 6), (6, 3), and (9, 2)

Given the equation that models the situation expressed as:

4x + 6y = 48

We are to find 4 possible solutions for x and y. Note that the values of x and y must be integers.

If there are no cars i.e. at when x = 0

4(0) + 6y = 48

0 + 6y = 48

6y = 48

y = 48/6

y = 8

One of the solution is (0, 8)

If there are 3 cars, i.e. at when x = 0

4(3) + 6y = 48

12 + 6y = 48

6y = 48 - 12

y = 36/6

y = 6

The second solution will be (3, 6)

If there are 6 cars, i.e. at when x = 6

4(6) + 6y = 48

24 + 6y = 48

6y = 48 - 24

y = 24/6

y = 4

The third solution will be (6, 3)

If there are 9 cars, i.e. at when x = 9

4(9) + 6y = 48

36 + 6y = 48

6y = 48 - 36

y = 12/6

y = 2

The fourth solution will be (9, 2)

Hence the 4 possible solutions in the context of the problem are (0, 8), (3, 6), (6, 3), and (9, 2)

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We know that the sum of all the interior angles of the polygon with sides n is (n - 2)*180.

It is given in the question that,

Sum of all the interior angles of the polygon is 800.

Hence, according to the data given in the question, we can write,

(n - 2)*180 = 800

n - 2 = 800/180

n - 2 = 40/9

n = 40/9 + 2

n = 58/9 = 6.44

As number of sides should always be in integer form, it is not possible to have the sum of all the interior angles of the polygon to be 800 degrees.

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The graph that represents the equation y - 4.5 = 2.5(x - 5) is the third graph

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Given, y - 4.5 = 2.5(x - 5).

y - 4.5 = 2.5x - 12.5.

y = 2.5x - 8.

Now, to determine the graph we'll choose some random values of x for which we'll have different values of y.

When x = - 1 , y = - 10.5 ⇒ (-1, -10.5 ).

When x = 0 , y = - 8 ⇒ (0, - 8).

When x = 1 , y = -5.5 ⇒ (1, -5.5).

When x = 2 , y = -3 ⇒ (2, -3).

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