Hello could someone help me please ?

Completing the table to expressed a portion spent on each cost as a percent fraction and decimal will be:

FOOD:

Fraction = 1/4

Decimal = 0.25

Percent = 25%

RENT:

Fraction = 6/10

Decimal = 0.60

Percent = 60%

TRANSPORT:

Fraction = 3/20

Decimal = 0.15

Percent = 15%

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

It should be noted that 1/4 as a percentage will be:

= 1/4 × 100

= 25%

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(a) The probability that a randomly chosen wedge of cheddar cheese is greater than 10.14 is found using the standard normal distribution as follows:

P(Z > z) = P(Z > (10.14 - µ)/σ)

= P(Z > (10.14 - 10.2)/0.2)

≈ 0.3085.

Therefore, the probability is approximately 0.3085.

(b) If a sample of 16 is randomly chosen, then the distribution of the sample mean weight is approximately normal with a mean of 10.2 ounces and a standard deviation of σ/√n,

Where n = 16.

The sample standard deviation is given by σ = 0.2, so the standard deviation of the sample mean weight is:

σ/√n = 0.2/√16

= 0.05.

Therefore, the distribution of the sample mean weight is approximately normal with a mean of 10.2 ounces and a standard deviation of 0.05 ounces.

(c) The probability that the sample mean weight of this sample of 16 is less than 10.14 is found using the standard normal distribution as follows:

P(Z < z) = P(Z < (10.14 - µ)/(σ/√n))

= P(Z < (10.14 - 10.2)/(0.2/√16))

≈ P(Z < -1.6)

≈ 0.0548.

Therefore, the probability is approximately 0.0548.

(d) The probability that the sample mean weight of this sample of 16 is greater than 10.14 is found using the standard normal distribution as follows:

P(Z > z) = P(Z > (10.14 - µ)/(σ/√n))

= P(Z > (10.14 - 10.2)/(0.2/√16))

≈ P(Z > -1.6)

≈ 0.9452.

Therefore, the probability is approximately 0.9452.

(e) The probability that the sample mean weight of this sample of 16 is between 10.14 and 10.3 is found

Using the standard normal distribution as follows:

P(a < Z < b) = P((a - µ)/(σ/√n) < Z < (b - µ)/(σ/√n))

= P((10.14 - 10.2)/(0.2/√16) < Z < (10.3 - 10.2)/(0.2/√16))

≈ P(-1.6 < Z < 2)

≈ 0.9452 - 0.0548

= 0.8904.

Therefore, the probability is approximately 0.8904.

(f) Let x be the average weight of a sample of these 16 cheese wedges that is below some value z.

Then, the probability that x is less than z is 0.07.

Using the standard normal distribution, we can find the z-score such that

P(Z < z) = 0.07 as follows:

z = inv Norm(0.07)

≈ -1.4758.

Therefore, the average weight of a sample of these 16 cheese wedges that is below the value z is:

x = µ + z(σ/√n)

= 10.2 + (-1.4758)(0.2/√16)

≈ 10.0625.

Therefore, there is only a 7% chance that the average weight of a sample of these 16 cheese wedges will be below 10.0625.

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Answer:

4+x

Step-by-step explanation:

\(Let\: the\:unknown\:number\:be \:x\\\\= x +4\)

Answer:

x + 4

Step-by-step explanation:

The sum - '+'

Of a number - 'x'

And four - '4'

The sum of a number and 4 would be 'x + 4'.

Hope this helps.

Answer:

0.3675$

Step-by-step explanation:

sale tax is 7% of 5.25 or sale tax = 5.25 x 7/100 = 0.3675$

\(answer = 0.3675 \\ solution \\ marked \: price = 5.25 \\ tax \: percent = 7 \: percent \\ tax \: amount = \: tax \: percent \: of \: mp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 7 \: percent \: of \: 5.25 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.3675 \\ hope \: it \: helps\)

plz refer the above..

hope it helps you out!!

Answer:

David=$450 Sammie=$1050

Step-by-step explanation:

$1500

The ratio is 3:7

Total units= 10

1500/10=150

Therefore each unit is $150

1. 3x$150=$450

2. 7x$150=$1050

OR

1. 3x$150=$450

2. $1500-$450=$1050

The value of x is equal to 8 and the measure of angle m∠UTV subtended by the arc UV at the circumference is equal to 40°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

arc UV = m∠USV = x + 72

also;

arc UV = 2(m∠UTV) = 2(2x + 24)

x + 72 = 2(2x + 24)

x + 72 = 4x + 48

4x - x = 72 - 48 {collect like terms}

3x = 24

x = 24/3 {divide through by 3}

x = 8

angle (m∠UTV)° = 2(8) + 24 = 40°

Therefore, the value of x is equal to 8 and the measure of angle m∠UTV subtended by the arc UV at the circumference is equal to 40°

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The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).

There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.

Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.

Since there are 52 cards in a deck, the total number of possible outcomes is 52.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13

Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

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Answer:

if it's finding x

#1 x<-1

#2 x<4

Step-by-step explanation:

#1

2x-16<-18

add 16 to both sides

2x<-2

then divide 2 to both sides

x<-1

#2

2x-16+4x<8

add like terms

6x-16+<8

add sixteen to both sides

6x<24

divide six to both sides

x<4

The equation of the parabola is:

y = 3/5 (x² -2x -8)    

We can use the factored form of the equation of a parabola below:

y = a(x - x₁)(x - x₂)

where x₁ and x₂ are the x-intercepts

x₁ = -2 and x₂ = 4

Point (2, 7): x = -1, y = -3

Substituting:

y = a(x - (-2))(x - 4)

y = a(x + 2)(x - 4)

Substituting x and y:

-3 = a(-1 + 2))(-1 - 4)

-3 = a(1 )(-5)

-3 = -5a

a = 3/5

Substituting a = 0.6 into y = a(x + 2)(x - 4):

y = 3/5(x + 2)(x - 4)

In expanded form:

y = 3/5 (x² -2x -8)    

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A. x1, x2, x3, s1, s2 ≥ 0

B. New table au:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

a) Writing the problem in equation form and adding slack variables:

Maximize Z = 3x1 + 2x2 + x3

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

b) Solving the problem using the simplex method:

Step 1: Convert the problem into canonical form (standard form):

Maximize Z = 3x1 + 2x2 + x3 + 0s1 + 0s2

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

Step 2: Create the initial tableau:

x1 x2 x3 s1 s2 RHS

s1 | 3 -3 2 1 0 3

s2 | -1 2 1 0 1 6

Z | 3 2 1 0 0 0

Step 3: Perform the simplex method iterations:

Iteration 1:

Pivot column: x1 (lowest ratio = 3/1 = 3)

Pivot row: s2 (lowest ratio = 6/2 = 3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

s2 = -s2/3

x2 = x2 + (2/3)s2

x3 = x3 - (1/3)s2

s1 = s1 - (1/3)s2

Z = Z - (3/3)s2

New tableau:

x1 x2 x3 s1 s2 RHS

x1 | 1 -2/3 -1/3 0 1/3 2

s2 | 0 7/3 4/3 1 -1/3 2

Z | 0 2/3 2/3 0 -1/3 2

Iteration 2:

Pivot column: x2 (lowest ratio = 2/7)

Pivot row: x1 (lowest ratio = 2/(-2/3) = -3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

x1 = -3x1/2

x2 = x2/2 + (1/7)x1

x3 = x3/2 + (4/7)x1

s1 = s1/2 - (1/7)x1

Z = Z/2 - (2/7)x1

New tableau:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

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Applying the leg rule, and solving algebraically, the lengths are determined as:

JG = 9

HJ = 12

The Leg rule states that when an altitude bisects the right angle of a right triangle and intersects the hypotenuse, then, hypotenuse/leg = leg/part.

Find length of JG using algebraic solutions and the leg rule:

Let JG = x

Hypotenuse = x + 16

Leg = 15

Part = x

Therefore:

(x + 16)/15 = 15/x (leg rule)

Cross multiply

x(x + 16) = (15)(15)

x² + 16x = 225

x² + 16x - 225 = 0

Factorize

(x + 25)(x − 9) = 0

x = -25 or x = 9

The length of JG (x) cannot be negative, therefore, the length of JG = 9.

Find length of JG using algebraic solutions:

Let HJ = y

Based on the altitude theorem, we would have:

y = √(16 × JG)

Substitute

y = √(16 × 9)

y = √(144)
y = 12

Therefore, the length of HJ is: 12.

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The computation shows that the maximum number of pants per employee that can be washed each week is 6.

The maximum number of pants per employee that can be washed each week will be:

7 + 4.5x + 12 <= 46

4.5x <= 27

x <= 6

The maximum number is 6.

The maximum number of chef coats per employee that can be washed each week will be:

= 6 + 8

= 14

The maximum total number of items per employee that can be washed in a week will be:

= 6 + 14 = 20

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Answer: y=mx+b

Step-by-step explanation: I didn’t really know what you wanted. Hope this helps.

Answer:

The distance between these two points is 5.099.              

Answer:

Your answer is \(\sqrt{73}\) or 8.54400374532...

Hope this helps!

Step-by-step explanation:

To find distance, the formula is:

\(\sqrt{(x_{2 } - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)

So ( -9,9 ) and (-1, 6 ) becomes :

\(\sqrt{(-1 - (-9))^{2} + ( 6 - 9 )^{2} } }\)

And :

\(\sqrt{8^{2}+-3^{2} }\)  =

\(\sqrt{64+9}\)  =

\(\sqrt{73}\)

Answer:

\( \frac{15}{h} = \frac{20}{30} \\ 15 \times 30 = 20 \times h \\ h = \frac{450}{20} \\ h = 22.5\)

Answer:

You are correct!!

It would be (-infinity, infinity) :)

The statement is False. The expression evaluates to 2.0, not 2.5.

The expression (double) (10 / 4) involves several steps of evaluation. Let's break it down to understand the process.

Integer Division: The division operation 10 / 4 is performed first. In integer division, the result is the quotient of the division without any decimal places. In this case, 10 / 4 equals 2, as the fractional part is truncated.

Type Casting: The expression (double) is a type cast that converts the result of the division to a double data type. However, the type casting occurs after the integer division has already taken place. So, the result of the type casting will not affect the value obtained in the integer division.

As a result, the expression (double) (10 / 4) evaluates to 2.0, not 2.5. The value 2.0 is a double representation of the integer 2. The type casting only affects the data type of the value, not its actual numerical value.

Therefore, the statement "The following expression will evaluate to 2.5: (double) (10 / 4)" is false. The expression evaluates to 2.0.

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True. The expression (double) (10 / 4) will evaluate to 2.5.

To evaluate the given expression, we need to follow the order of operations. First, we have the casting operation, which involves converting the result of the division to a double data type. Then, we have the division operation, which involves dividing 10 by 4.

Let's break down the steps:

Therefore, the expression (double) (10 / 4) will evaluate to 2.5.

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Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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Answer:

-2

Step-by-step explanation:

f(-2) = -(-2) - 4

= 2-4

= -2

Answer:

z = 3m - 2n

Step-by-step explanation:

1000 = 10^3

(10^3)^m = 10^3m

100 = 10^2

(10^2)^n = 10^2n

10^3m/(10^2n) = 10^(3m-2n) = 10^z

z = 3m - 2n

Answer: 120 cartons

Step-by-step explanation: Since, the grocery clerk displays 15 cartons at the base of the triangle and one at the top. Therefore, one carton is reduced at previous step and so on. Since, this series is in arithmetic progression. Therefore, 120 cartons are needed for the complete display.

Answer:

x<4

Step-by-step explanation:

Here, hope this helped!

A quick tip, just think that the sign is an equal sign, that helps.

Answer: \(x < 4\)

Step-by-step explanation:

Our inequality is \(3x-3 < 9\)

We will add 3 to both sides. (addition property of equality)

Simplify \(9 + 3 9+3 9+3 ~to ~12\).

Then divide both sides by 3. (division property of equality)

\(3x\)÷\(3 < 12\)÷\(3\)

\(\frac{3x}{3} < \frac{12}{3}\)

Simplify \(312~to~4\).

Step-by-step explanation:

4.1  X 10^2    is    4.1  X 100   =   410

a. To calculate the probability that Juan will arrive at work on time, we need to consider the probabilities of two events: the probability that Juan will arrive at work on time is 0.69 (rounded to 2 decimal places).

(1) He takes the AMA and arrives on time, and (2) He takes the commuter train and arrives on time.Let's denote the event "Arrive on time" as A, and the event "Take the AMA" as B, and the event "Take the commuter train" as C.Using the law of total probability, we can calculate the probability of rriving on time as follows:

P(A) = P(B) * P(A | B) + P(C) * P(A | C)

Given:

P(B) = 0.7 (probability of taking the AMA)

P(A | B) = 0.6 (probability of arriving on time when taking the AMA)

P(C) = 0.3 (probability of taking the commuter train)

P(A | C) = 0.9 (probability of arriving on time when taking the commuter train)

Substituting these values into the equation:

P(A) = 0.7 * 0.6 + 0.3 * 0.9

P(A) = 0.42 + 0.27

P(A) = 0.69.

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The central angle of the sector with a radius of 5 cm and an area of 5π cm² is 72 degrees.

To find the central angle of a sector, we need to use the formula that relates the sector area to the central angle and the radius of the circle. The formula for the area of a sector is:

Area = (θ/360) * π * r^2

Where:

Area is the sector area

θ is the central angle in degrees

π is a mathematical constant (pi)

r is the radius of the circle

In this case, we are given the radius of the circle as 5 cm and the sector area as 5π cm². Let's substitute these values into the formula and solve for θ.

5π = (θ/360) * π * 5^2

Simplifying the equation:

5π = (θ/360) * 25π

To eliminate π, we can divide both sides of the equation by π:

5 = (θ/360) * 25

Now, let's isolate θ by multiplying both sides of the equation by (360/25):

5 * (360/25) = θ

Simplifying the equation:

θ = 72

Therefore, the central angle of the sector is 72 degrees.

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Answer:

The similar shortcut for division works because division is the opposite operation of multiplication—it “undoes” multiplication. If we move the decimal point to the right when multiplying by 10, 100, 1000 and so on, then it is quite natural that the rule for division would work the “opposite” way.

Step-by-step explanation:

A ratio describes a relationship between two or more quantities. When mixing colors, ratios are often used to determine the ratio of different colors required to achieve a desired hue. Ratios can be expressed in 1:, 2:3,.. etc.

Ratios affect the appearance of paint colors. In this scenario, Can A has a higher percentage of red than can B. This means that the shade of pink you get with Can A is likely to be darker and more red due to the higher concentration of red.

Can B, on the other hand, has a lower percentage of red, suggesting that the resulting pink hue is lighter and less red than can A.  

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The cost of one yard of green fabric is $10.

Let's assume that the cost of one yard of green fabric is represented by the variable x. Since the blue fabric costs $3 more per yard, the cost of one yard of blue fabric can be expressed as (x + $3).

La Tanya buys 4 yards of blue fabric, so the total cost of the blue fabric is 4(x + $3). She also buys 7 yards of green fabric, so the total cost of the green fabric is 7x.

The total cost of the fabrics is given as $122, so we can set up the equation:

4(x + $3) + 7x = $122

Simplifying the equation:

4x + $12 + 7x = $122

11x + $12 = $122

11x = $122 - $12

11x = $110

Dividing both sides by 11:

x = $110 / 11

x = $10

Therefore, the cost of one yard of green fabric is $10.

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