Solving a System of Linear Inequalities

Given the system of inequalities:
4x - 5y = 1
Which shows the given inequalities in slope-intercept
form?

Answer:

The  value is [tex]z = 3[/tex]

Step-by-step explanation:

From the question we are told that

   The  population proportion of senior citizens is  [tex]p  = 0.10[/tex]

   The  sample size is  [tex]n  = 225[/tex]

   The  number of senior citizens is  k =  36

   The  null hypothesis is  [tex]H_o :  p =  0.10[/tex]

    The alternative hypothesis is  [tex]H_a : p > 0.10[/tex]

Generally the sample proportion is mathematically represented as

     [tex]\^{p} =  \frac{k}{n}[/tex]

=>   [tex]\^{p} =  \frac{  36 }{225}[/tex]

=>  [tex]\^{p} =0.16[/tex]

Generally the test statistics is mathematically represented as

     [tex]z =  \frac{\^{p}  -  p }{\sqrt{\frac{p(1 -p )}{n} } }[/tex]

=>    [tex]z =  \frac{0.16 -  0.10 }{\sqrt{\frac{p(1 -0.10)}{225} } }[/tex]

=>    [tex]z = 3[/tex]

Answer:

P-value ≈ 0.0588

Step-by-step explanation:

9514 1404 393

Answer:

  G

Step-by-step explanation:

The one point with a y-value of 0 is the one on the x-axis: G.

Answer:

7/11 green or red balls

Step-by-step explanation:

5 + 3 + 2 = 11 = whole basket

5 + 2 = 7 = red + green

probability = 7 / 11  balls

Hope this helps!

The probability that the next ball he randomly chooses will be red or green is 7/10

From the question, we are to determine the probability that the next ball Benny randomly chooses will be red or green

From the given information,

Benny has a basket of 5 red balls, 3 yellow balls, and 2 green balls

∴ Total number of possible outcome = 5 + 3 + 2 = 10

Now we will determine the probability of picking red

Using the formula,

[tex]P(A) = \frac{Number\ of\ favourable\ outcome\ to\ A}{Total\ number\ of\ favourable\ outcomes}[/tex]

∴ [tex]P(R) = \frac{5}{10}[/tex]

For the probability of picking green

[tex]P(G) = \frac{2}{10}[/tex]

Then, the probability of red or green is

∴ [tex]P(R \ or \ G) = \frac{5}{10} + \frac{2}{10}[/tex]

[tex]P(R \ or \ G) = \frac{7}{10}[/tex]

Hence, the probability that the next ball he randomly chooses will be red or green is 7/10

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Answer:

Hundreds & 100

Step-by-step explanation:

Answer: 26/75

(4/15) ÷ (10/13) (Multiply the reciprocal of 10/13)

= (4/15) · (13/10) (Cancel out the common factor of 2)

= (2/15) · (13/5) (Multiply the numerators together and denominators together)

= 26/75

Answer:

y=−2x+4

Step-by-step explanation:

Let's solve for y.

2y+4x=8

Step 1: Add -4x to both sides.

4x+2y+−4x=8+−4x

2y=−4x+8

Step 2: Divide both sides by 2.

2y/2=

(−4x+8)/2

y=−2x+4

Answer:

y=−2x+4

Answer:

$2.99

Step-by-step explanation:

Given parameters:

Selling price = $19.95

Discount percentage  = 15%

Unknown:

Amount of discount = ?

Solution:

To find the amount of discount, ;

   Discount amount  = discount percentage x selling price

  Discount amount  = [tex]\frac{15}{100}[/tex] x 19.95

  Discount amount  = $2.99

Answer:

Use the distributive property to multiply the factors on the right side of the equation.

Simplify the product by combining like terms.

Show that the right side of the equation can be written exactly the same as the left side.

Show that the right side of the equation simplifies to a cubed minus b cubed.

Step-by-step explanation:

The difference of two cubes identity a³ - b³ = (a - b)(a² + ab + b²) has been proved using; distributive property of algebra.

a³ - b³ = (a - b)(a² + ab + b²)

(a - b)(a² + ab + b²) = a(a² + ab + b²) - b(a² + ab + b²)

Multiplying out the brackets gives us;

a³ + a²b + ab² - a²b - ab² - b³

Like terms cancel out to give us;

a³ - b³.

This is same as the left hand side of our initial equation and thus it has been proved.

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Answer:

It is irrational

Step-by-step explanation:

Rational numbers do not have decimals.

Answer:

We have the equation:

3x - 5y = 15

a) We want to create a table with at least 4 points.

To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.

5y = 3x - 15

y = (3/5)*x - 3.

Then we have a linear equation.

Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.

x = 0.

y = (3/5)*0 - 3

y = -3

Then we have the point (0, -3).

x = 1.

y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5

y = -12/5

Then we have the point (1, -12/5)

x = 5

y = (3/5)*5 - 3 = 3 - 3 = 0

y = 0

then we have the point (5, 0)

x = 10

y = (3/5)*10 - 3 = 6 - 3 = 3

y = 3

Then we have the point (10, 3).

Now we can create the table

[tex]\left[\begin{array}{ccc}x&y\\0&-3\\1&-12/5\\5&0\\10&3\end{array}\right][/tex]

Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.

Answer:

-15--14/1 +-9x-11

-15+14+99

-1+99

98

Answer:

75

Step-by-step explanation:

The average rate of change between 9:00 AM and 12:00 PM is 25 if a snack bar is having a sale on hamburgers. At 9:00 AM,

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that:

A snack bar is having a sale on hamburgers. At 9:00 AM, the snack bar sold 28 hamburgers.

At 12:00 PM, the snack bar discovers that it has sold 103 hamburgers.

The average rate of change between 9:00 AM and 12:00 PM:

= (103 - 28)/(12 - 9)

= 75/3

= 25

Thus, the average rate of change between 9:00 AM and 12:00 PM is 25 if a snack bar is having a sale on hamburgers. At 9:00 AM,

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Answer:

5. perpendicular

6. neither

7. parallel

8. perpendicular.

Step-by-step explanation:

i used the slope formula to compare them. it's easier than graphing if you want to be exactly sure of your answers

Answer:

Study 2 will produce a greater power to detect an effect because it has a lower beta level

Step-by-step explanation:

Generally, alpha level is the probability of rejecting the null hypothesis when it's true. Whereas beta level is the opposite and it's the probability of accepting the null hypothesis even though it’s false.

Now, in statistics the lower the alpha level, the more we require a stronger evidence. Thus, a higher alpha level is usually required to produce a stronger evidence.

Now, an increase in alpha level means a decrease in beta level and a decrease in alpha level means an increase in beta level.

This means that the lower the beta level, the greater is the power to detect an effect.

Now, we are told that the beta level in study 1 was larger than the beta level used in Study 2.

Thus, study 2 will produce a greater power to detect an effect because it has a lower beta level

Answer:

[tex] e = 13\sqrt{2} [/tex]

[tex] f = 13\sqrt{2} [/tex]

Step-by-step explanation:

The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.

Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:

Finding e:

[tex] sin(\theta) = \frac{opp}{hyp} [/tex]

[tex] sin(\theta) = sin(45) = \frac{\sqrt{2}}{2} [/tex]

hyp = 26

opp = e = ?

Plug in the values into the formula

[tex] \frac{\sqrt{2}}{2} = \frac{e}{26} [/tex]

Multiply both sides by 26

[tex] \frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26 [/tex]

[tex] \frac{\sqrt{2}}{2}*26 = e [/tex]

[tex] \frac{\sqrt{2}}{1}*13 = e [/tex]

[tex] 13\sqrt{2} = e [/tex]

[tex] e = 13\sqrt{2} [/tex]

Since side e is of the same length with side f, therefore, the length of side f = [tex] 13\sqrt{2} [/tex]

Answer:

Option (B)

Step-by-step explanation:

Given number is 6642.

Number at ones place = 2

Number at tens place = 4

Number at hundredth place = 6

Number at thousand place = 6

Value of the number at tens place = 4 × 10 = 40

Value of the number at hundreds place = 6 × 100 = 600

Value of the number at thousand place = 6 × 1000 = 6000

Number at thousand place = 10 × (Number at hundreds place)

Therefore, Option (B) will be the answer.

Answer:

38+41=79

Step-by-step explanation:

i did the math

Answer:

CORRECT ANSWER IS B

Step-by-step explanation:

edge 2023 ;D

Answer:

Step-by-step explanation:

2+5x+53=180

55+5x=180

5x=125

x=25

hope this helps :)

Answer:

B.

Step-by-step explanation:

Answer:

(6,1)

Step-by-step explanation:

In order to find the third point, you first need to identify the side length of XZ. X is (1, 1) and Z is (1, 5). In order to find the length of this segment, you just need to subtract 1 from 5 since that is the difference in the y-values and the x-values are the same.

Now, you know that XZ = 4. The problem says that the area of the triangle is 10, and the area of a triangle is a = [tex]\frac{1}{2}[/tex]bh, so you can just insert the values into the equation to solve for the base:

a = [tex]\frac{1}{2}[/tex]bh

= 10 = (1/2) * b * 4

= 10 = 2b

= 5 = b

Because the base is 5 units long, you can just add 5 to the x-value of the point Z, since Y is 5 units to the right of it

Y is (1 + 5, 1)

Y is (6,1)

Answer:

24x-5

Step-by-step explanation:

x= number of batches

24x -5

Answer:

Shift down one unit

Step-by-step explanation:

Correct for e2020

The transformation applied to the graph of f(x) to produce the graph of p(x) is:

A). a shift down 1 unit and a shift left 7 units.

Let the functions f(x) and g(x) be two real functions.

And g (x) = f (x) + k, where k is real numbers.

The function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

The function provided by the basic function f(x) and the constant

g(x) = f(x - k),

may be drawn by horizontally moving the f(x) k unit coordinates.

The shift's direction depends on the value of k. Specifically,

The base graph moves k units to the right if k > 0, and

The base graph moves k units to the left if k < 0.

To determine the transformation applied to the graph of f(x) = x² to produce the graph of p(x) = –50 + 14x – x², we can compare the general forms of the two functions:

f(x) = x²

p(x) = –x² + 14x - 50

The function p(x) can be written as,

p(x) = –(x² - 14x + 49) - 1

p(x) = -(x - 7)² - 1

Therefore, the transformation applied to the graph of f(x) to produce the graph of p(x) is:

A). a shift down 1 unit and a shift left 7 units.

So, the correct answer is A).

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Answer:

multiply 3.75 to 28 and it equals 105

Step-by-step explanation:

The amount of money spent to buy 28 burritos will be $105.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the money spent, M, purchasing burritos at a particular fast food restaurant varies directly with the number of burritos purchased, B. When 12 burritos are purchased, $45 is spent.

The money required to purchase 28 burritos will be calculated as:-

12 burritos = $45

1 burrito = 45 / 12

28 burritos = ( 45 / 12 ) x 28

28 burritos = $105

Therefore, the amount of money spent to buy 28 burritos will be $105.

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Answer:

the last 1

Step-by-step explanation:

Answer:

$13.5

Step-by-step explanation:

l= P×R×T/100

I= 12,500×9×12/100

l= $13,5

The interest earned for his investment after 12 years is $13,500.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.

Given that, P=$12,500, rate of interest=9% and time period=12 years.

Here, simple interest = (12500×9×12)/100

= 1350000/100

= 13,500

So, the interest is $13,500

Therefore, the interest earned for his investment after 12 years is $13,500.

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Answer:

2.764

Step-by-step explanation:

Critical value = tα/2, degrees of freedom

Degrees of freedom = n - 1

n = 11

Degrees of freedom = 11 - 1

= 10

tα/2 = 100 - 98%/2

= 2%/2

= 1%

= 0.01

Critical value = 0.01, 10

Using the Critical T value table, the Critical T value for

two tails( a degree of significance of 0.02 and degree of freedom of 10) or one tail (0.01, 10) = 2.764