Find the value of
X
Z
Y

Answer:

The first thing you want to d is find out how many centimeters are in 1 foot, because if a flat bar cost 2 pesos per centimeter, and they want 1 foot, then you will multiply how many centimeters in 1 foot, by how much each centimeter cost: 2 pesos:

There are exactly 30.48 centimeters in 1 foot, so you will multiply that by 2:

2 * 30.48 = 60.96

It will cost 60.96, or rounded up to 61 pesos for a 1 foot flat bar.

Step-by-step explanation:

Hope it helps! =D

Answer: 7/13

Step-by-step explanation:

2(x-5)(x-3)/3(x-5)(x-2)

take (x-5) away from both

2x-3/3x-2

2(5)-3/3(5)-2

=7/13

The last number in Row 8 is 56.

The number in Row 12 and column 3 is 80.

The row and column that will contain the number 400 is Row 58 Column 1

The figure shown in the image represents the multiplication table 7.

Each column contains 7 numbers.

Beginning with the first Row and column, 7 numbers are added until the next row. At the end of each row is a multiple of 7.

The last number in Row 8 will be the product of 7 and 8 = 56

The number in Row 12 and Column 3 will be:

7 * 11 + 3 = 80

The row and column that will contain the number 400 will be:

400/7 = 77 remainder 1

Hence, it will be Row 58 Column 1.

Learn more about multiplication tables at: https://brainly.com/question/29069569

#SPJ1

The data set: 21, 22, 22, 24, 25, 26, 28, 28 have two values of mode, which are, 22 and 28.

What is meant by the mode of a data set?

The value that appears the most frequently in a data collection when it is unique is known as the mode, and like the median and mean, it can be used to measure central tendency. Yet, occasionally there is either no mode or more than one mode. When every observed value occurs exactly once in a data collection, there is no mode. When the highest frequency was noted for more than one value in a data collection, there are many modes. The mode cannot be utilised in either of these examples to identify the distribution centre. Categorical variables can be summarised using the mode.

a)2, 2, 2, 5, 6, 7, 9, 10

Here most repeated value is only 2.

So the mode is 2.

b) 5, 6, 8,10, 11, 11, 15, 18

Here most repeated value is only 11.

So the mode is 11.

c)12, 12, 13, 13, 14, 14, 15, 15

Here the values 12,13,14 and 15 are repeated twice.

So this has 4 values as mode.

d) 21, 22, 22, 24, 25, 26, 28, 28

Here 22 and 28 are repeated twice.

So this data set has 2 values for the mode.

Therefore the data set: 21, 22, 22, 24, 25, 26, 28, 28 have two value of mode, which are, 22 and 28.

To learn more about mode, follow the link.

https://brainly.com/question/14532771

#SPJ1

Answer:

D

Step-by-step explanation:

here is a pic for proof

Answer:

Step-by-step explanation:

radius of a circle is half of the diameter

Diameter :D , Raduis : R

D = 2R

R = 1.4 angstrom

1 angstrom = 0.00000001 cm = 10^-7 cm

R = 1.4 * 10^-7 cm

D = 2.8 * 10^-7 cm

The Diameter is 2.8x10^-7 cm

a.  The probability that they are actually lying is 0.3214. b. The polygraph test must be 98.7% in order that this probability is at least 80%.

It is simpler to construct and see every possible scenario using the tree diagram. Its two main sites are the ends and the branches of the tree. The probability is written on each branch, and the ends hold the final findings. Use tree diagrams to identify when to multiply and when to add.

The probability of lie = 0.5

The probability of truth = 1 - 0.5 = 0.95

The liars that pass polygraph = 0.10

The liars that fail the polygraph is = 0.90

The truth that pass on polygraph = 0.90

The truth that fails on polygraph = 0.10

a. The probability that they are actually lying is:

P (Lying| fair) = P (fair| Lying) P (lying) / P (fair)

= (0.90)(0.05)/ (0.70)(0.05) + (0.10)(0.95)

= 0.3214

b. P (Lying| fair) > 0. 80

= (x)(0.05)/ (x)(0.05) + (1-x)(0.95) > 0.80

x > 0.987

Hence, the polygraph test must be 98.7% in order that this probability is at least 80%.

Learn more about probability here:

https://brainly.com/question/18954490

#SPJ1

the area of the rectangle will be 1.5w².

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

Area of rectangle is A = a*b

The given length of the rectangle is w

The width will be 1.5w

So the rectangle of the white figure is Area = w*1.5w = 1.5 w²

hence the area of the rectangle will be 1.5w².

Learn more about rectangular by following the link below.

brainly.com/question/25292087

#SPJ1

The mean is 20 and standard deviation for the number of patients that experience side effects in such groups of 100 is 4.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The number of patients experiencing side effects in a sample of 100 patients as a binomial distribution with n = 100 and p = 0.20.

The mean of a binomial distribution is given by:

μ = np

Substituting n = 100 and p = 0.20, we get:

μ = 100 × 0.20 = 20

Therefore, the mean is 20.

The variance of a binomial distribution is given by:

σ²= np(1 - p)

Substituting n = 100 and p = 0.20, we get:

σ² = 100 × 0.20 × (1 - 0.20) = 16

Therefore, the variance of the number of patients experiencing side effects in a sample of 100 patients is 16.

The standard deviation of a binomial distribution is the square root of its variance:

σ =√Variance

=√16

= 4

Hence, the mean is 20 and standard deviation for the number of patients that experience side effects in such groups of 100 is 4.

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ1

Answer:

The equation that represents inverse variation for the given values of x=6 and y=1/2 is y = 3/x.

Step-by-step explanation:

Inverse variation is a type of relationship between two variables, in which the product of the variables is constant. The equation that represents inverse variation is:

y = k/x

where y and x are the variables, and k is the constant of proportionality.

To find the equation that represents inverse variation for the given values of x=6 and y=1/2, we can first substitute these values into the equation:

1/2 = k/6

To solve for k, we can multiply both sides by 6:

k = 6 * (1/2)

k = 3

Now that we know the value of k, we can substitute it back into the equation to get the final equation for the inverse variation:

y = 3/x

Therefore, the equation that represents inverse variation for the given values of x=6 and y=1/2 is y = 3/x.

Answer:

55°

Step-by-step explanation:

supplementary angle sum to 180° , then supplement of G is

supplement = 180° - 125° = 55°

Answer:

x = 145

Step-by-step explanation:

We are given a polygon that has 7 sides. We can use the formula [tex]S=(n-2) * 180[/tex] which allows us to write an algebraic expression to solve for x where n = number of sides.

[tex]S=(7-2) * 180[/tex]

Evaluate

[tex]S=5*180[/tex]

[tex]S=900[/tex]

Now that we have our number, lets write an algebraic expression that will help us find the value of x.

[tex]x+116+129+120+130+135+125=900[/tex]

Add like terms

[tex]x+755=900[/tex]

Subtract 755 on both sides

[tex]x=145[/tex]

We can check our work by adding all the angle measures together

[tex]145+116+129+120+130+135+125=900[/tex]

Thus we know 145 is the correct answer.

Answer:

Step-by-step explanation:

Let's start by finding the six even numbers. We know that the median is 9, so the middle two numbers in the set must be 9. Since all of the numbers are even, these two numbers must be 8 and 10.

So we have four numbers remaining, and we know that they are even. We also know that the range is 8, which means that the largest number in the set minus the smallest number in the set is 8. Since the largest number is 10, the smallest number must be 2.

So far, we have the following numbers in the set:

2, 8, 9, 9, 10

Now we need to find one more even number to make a set of six. We are given that the mode is 6, which means that one of the numbers in the set must be 6. However, we cannot add 6 to the set because it is odd. Therefore, the other number in the set that is closest to 6 must appear twice in the set, making it the mode. The number closest to 6 is 8, so we can add one more 8 to the set.

The final set of six even numbers that satisfy the given conditions is:

2, 8, 8, 9, 9, 10

The loan's future value A, or the total amount due at time t is equal to $3,720.

Mathematically, simple interest can be calculated by using this formula:

S.I = PRT or S.I = A - P

Where:

Substituting the given parameters into the simple interest formula, we have;

S.I = 3,000 × 6/100 × 5

S.I = 3,000 × 0.06 × 4

S.I = $720.

Next, we would calculate the future value as follows;

Future value, A = S.I + P

Future value, A = $720 + $3,000

Future value, A = $3,720.

Read more on simple interest here: brainly.com/question/25793394

#SPJ1

let's say the segment with A(-5 , -8) and B(10 , 7) gets partitioned by point C

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-5,-8)\qquad B(10,7)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(-5,-8)=3(10,7)[/tex]

[tex](\stackrel{x}{-10}~~,~~ \stackrel{y}{-16})=(\stackrel{x}{30}~~,~~ \stackrel{y}{21}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-10 +30}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{-16 +21}}{3+2} \right)} \\\\\\ C=\left( \cfrac{ 20 }{ 5 }~~,~~\cfrac{ 5}{ 5 } \right)\implies C=(4~~,~~1)[/tex]

Answer:

( 4, 1 )

Step-by-step explanation:

The coordinates of the point on the directed line segment is (- 6, 4).

A line segment is a subset of a line that has two endpoints.

We know, When a line segment is divides another line segment in the ratio of m : n at (x, y), The coordinate of the intersecting points is,

x = (nx₁ + mx₂)/(m + n) and y = (ny₁ + my₂)/2.

Therefore, The coordinates of the point directed on the line segment is,

x = (1×2 + 2×- 10)/(1 + 2).

x = (2 - 20)/3.

x = - 18/3.

x = - 6.

And,

y = (- 8×1 + 10×2)/(1 + 2).

y = 12/3.

y = 4.

So, The coordinates are (- 6, 4).

learn more about coordinates here :

https://brainly.com/question/16634867

#SPJ1

Applying the law of sines, the value of c is calculated as: c ≈ 11.8.

The Law of Sines, also known as the Sine Rule, is a theorem in trigonometry that relates the side lengths of a triangle to the sine of its angles.

Specifically, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all three sides of the triangle. Mathematically, this can be expressed as:

a / sin A = b / sin B = c / sin C

Where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the measures of the angles opposite those sides.

Applying the law of sines, we have:

c/sin 105 = 7/sin 35

Cross multiply:

c * sin 35 = 7 * sin 105

c = 7*sin 105/sin 35

c ≈ 11.8

Learn more about the law of sines on:

https://brainly.com/question/2807639

#SPJ1

Answer:

2x + h - 5

Step-by-step explanation:

To find f(x + h) we simply plug (x + h) into the function f(x), anywhere we see an x.

[tex]f(x) = x^{2} -5x+9\\f(x+h) = (x+h)^{2}-5(x+h)+9[/tex]

Now we can plug them into the fraction:

[tex]\frac{((x+h)^{2}-5(x+h)+9)-(x^{2} -5x+9)}{h}[/tex]

Expanding all of the terms, we get:

[tex]\frac{(x^{2} +2hx + h^{2} -5x-5h+9)-(x^{2} -5x+9)}{h}[/tex]

Distributing the negative we get:

[tex]\frac{x^{2} +2hx + h^{2} -5x-5h+9-x^{2} +5x-9}{h}[/tex]

Now we see that [tex]x^{2} -x^{2} ,-5x+5x,[/tex] and [tex]9-9[/tex] all cancel, leaving us with:

[tex]\frac{2hx + h^{2}-5h}{h}[/tex] (Notice the only terms left are those with h in them)

As every term contains an h, we can remove an h from every term, giving us:

2x + h - 5

Jane, Judy, and John will next play together in 30 years, which is 2009 + 30 = 2039.

What is the least common multiple (LCM)?

The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of all of them

To solve this problem, we need to find the least common multiple (LCM) of the numbers 2, 3, and 5. The LCM is the smallest number that is a multiple of all three numbers.

Prime factorizing the numbers, we have:

2 = 2

3 = 3

5 = 5

To find the LCM, we take the highest power of each prime factor that appears in any of the numbers, and multiply them together. Therefore, the LCM of 2, 3, and 5 is:

LCM = [tex]2^1 * 3^1 * 5^1 = 30[/tex]

Hence, Jane, Judy, and John will next play together in 30 years, which is 2009 + 30 = 2039.

To learn more about least common multiple (LCM), Visit

https://brainly.com/question/17256135

#SPJ1

The rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

The mathematical concept of rate of change describes how much one quantity changes in relation to another. It is calculated as the difference between the change in the output (the dependent variable) and the change in the input (independent variable).

The rate of change, in other words, informs us of how quickly or slowly something is changing through time or in relation to another variable. When tracking the distance an automobile travels over time, for instance, the rate of change would be the car's speed, which is calculated as the distance traveled divided by the time required.

Slope, which is the ratio of the vertical change (rise) to the horizontal change (run) between two points on a graph, is a common way to depict the rate of change. The rate of change of the dependent variable with respect to the independent variable is depicted by the slope of a straight-line graph.

The rate of change in the total amount charged with respect to the time spent on the service call represents the slope of the graph. We can find the slope of the graph by taking any two points on the line and calculating the change in y (total amount) divided by the change in x (time spent on the service call).

Looking at the graph, we can choose two points: (2, 130) and (8, 370). The change in y is:

370 - 130 = 240

And the change in x is:

8 - 2 = 6

Therefore, the slope (rate of change) of the graph is:

240/6 = 40

So the rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

Therefore, the correct option is $40 per hour.

To know more about the rate of change, visit:

https://brainly.com/question/25184007

#SPJ1

Answer:

the probability is that the teacher will most likely pick between 2-4 boys and the rest would be girlso so the probability of it being all girls unless he choosing all girls on pourpose it would be a slim chance. if you need a percentage it would probably be like a 1.25% chance

Step-by-step explanation:

Part A: You can decompose Figure ABCDE into two triangles and two rectangles. The two triangles are triangle ABC and triangle AED. The two rectangles are rectangle BCD and rectangle AEB.

Part B: The length of Side AB is 4 units and the length of Side AE is 5 units.

Part C: To find the area of Figure ABCDE, we can simply add the areas of the two triangles and two rectangles. The area of triangle ABC is 3 units2, the area of triangle AED is 6 units2, the area of rectangle BCD is 10 units2, and the area of rectangle AEB is 3 units2. Thus, the area of Figure ABCDE is 3 + 6 + 10 + 3 = 22 units2.

Answer:

The equation is false

Step-by-step explanation:

(x+5)^2 = x^2+25

FOIL the left hand side.

(x+5)(x+5)

x^2 +5x+5x+25

x^2 +10x+25

This does not equal x^2+25.

The linear equation for coordinate points (-2,8) and (5,-6) is option B: y = -2x + 4.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Since there are two points on the graph, use the slope-intercept form of a linear equation to find the equation that matches the graph.

The slope-intercept form is -

y = mx + b

Where m is the slope and b is the y-intercept.

To find the slope, we use the two given points -

m = (y2 - y1) / (x2 - x1)

m = (-6 - 8) / (5 - (-2))

m = -14 / 7 = -2

To find the y-intercept, we can use one of the points and the slope -

y = mx + b

8 = (-2) × (-2) + b

8 = 4 + b

b = 4

So the equation that matches the graph is -

y = -2x + 4

Therefore, the equation is -2x + 4.

To learn more about linear equation from the given link

https://brainly.com/question/2226590

#SPJ1

Answer:

B

HOPE THIS HELPS

Answer: Length = 7 and Width = 2

Step-by-step explanation:

Perimeter = 2(length + width)  
18 = 2(L+W)
[tex]\frac{18}{2}[/tex] = (L+W)  
9 = L+W  
Make width the subject.
w = 9-L ------Equation 1

  Area = Length × Width
⇒14 = L×(9-L)   | Substitute Eq.1 in place of Width
⇒14 = 9L - L²
⇒L² - 9L + 14 = 0
⇒L² -7L - 2L + 14 = 0
⇒L×(L-7) -2×(L-7) = 0
⇒(L-7)(L-2) = 0
∴ L=7(Answer) or L=2(Not Applicable since length can't be larger than width)

Substitute the value into eq.1
when L=7
W=9-7      
  =2      

Lenth=7
Width=2

Hope you find this helpful, please rate 5* and mark brainliest

Answer:

Step-by-step explanation:

Let the length of the plank be "l" and the width be "w".

The perimeter of the plank is the sum of the lengths of all four sides, which is:

2(l + w) = 18

Simplifying the equation, we get:

l + w = 9

The area of the plank is given by:

lw = 14

We can solve for one of the variables in terms of the other by rearranging the equation:

l = 14/w

Substituting this expression for "l" into the equation for the perimeter, we get:

(14/w) + w = 9

Multiplying both sides by "w", we get:

14 + w^2 = 9w

Rearranging the terms, we get:

w^2 - 9w + 14 = 0

This is a quadratic equation that can be factored as:

(w - 7)(w - 2) = 0

Therefore, the possible values of "w" are 7 and 2.

If we take "w = 7", then using the equation l = 14/w, we get:

l = 14/7 = 2

Therefore, the length and width of the plank are 2 feet and 7 feet, respectively.

If we take "w = 2", then using the equation l = 14/w, we get:

l = 14/2 = 7

Therefore, the length and width of the plank are 7 feet and 2 feet, respectively.

In summary, the plank could have a length of 2 feet and a width of 7 feet, or a length of 7 feet and a width of 2 feet, given its perimeter of 18 feet and area of 14 square feet.

Answer:

Step-by-step explanation:

x inter for line a = 1

x inter for line B = -4

Line A is greater then Line B

Using translation the graph of y = (x - 2)² - 5 is the graph of y = x² shifted 2 units to the right and 5 units down.

What is translation?

A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.

To translate the graph of y = x² to y = (x - 2)² - 5, apply the following transformations -

Shift the graph to the right by 2 units.

This means that we replace x with x - 2, which moves the graph 2 units to the right.

Shift the graph down by 5 units.

This means that we subtract 5 from the entire function, which moves the graph 5 units down.

So the transformed function is -

y = (x - 2)² - 5

To see how this transformation changes the graph, compare the original function y = x² to the transformed function y = (x - 2)² - 5.

The vertex of the parabola has moved from the origin (0,0) to the point (2,-5).

Therefore, the graph is shifted using translation.

To learn more about translation from the given link

https://brainly.com/question/12861087

#SPJ1

Answer:

280 yards * 3 feet/yard = 840 fee

Step-by-step explanation:

since the fencing is sold by the foot, we need to convert the given 280 yards to feet in order to determine how much fencing the farmer should buy.

To convert yards to feet, we multiply the number of yards by 3, since there are 3 feet in 1 yard.

280 yards * 3 feet/yard = 840 feet

Therefore, the farmer needs to buy 840 feet of fencing for his new grazing field.

The equation of the circle has the following format:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which:

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by the equation presented as follows:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

From the figure, you must identify the coordinates of the center, and then replace the given point [tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex] into the equation to solve for the radius r.

The problem is incomplete, hence the procedure to obtain the equation of the circle was presented.

More can be learned about the equation of a circle at https://brainly.com/question/1506955

#SPJ1