verify by drawing a diagram if the median and altitude of an isosceles triangle can be the same

The cost of each adult ticket for watching movie at the theatre equals to $12.

Given data:

Student ticket price = $7

Group of 4 students and 3 adults paid $64 in all for movie tickets.

The computation of each of the adult ticket cost is as follows:

Let x be the cost of each adult ticket.

Then, cost of 3 adult tickets = 3x.

Now:

The cost of 1 student ticket = $7

The cost of 4 student ticket = $7(4)

Then, we get the following equation:

7(4) + 3x = 64

18 + 3x = 64

3x = 64 - 18

3x = 36

x = 12

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Answer:

Probability = A. 2 / 5

Step-by-step explanation:

Probability = ( Number of Favorable Outcomes ) / (Total Number of Outcomes )

So the Total Number of Students = 20

Number of Students ( Dots ) scored more than 15 = 3+2+1+2 = 8

Probability = 8 / 20 = 2 / 5

Glad to Help

Answer: 12/20= 3/5

Step-by-step explanation:

you have to count all the dots on the dot plot to find your denominator which is 20.

then you count all the dots that are fifteen or more and there are 12 so 12/20 is the probability which is simplified into 3/5.

The only correct option that is minimized by the least squares regression line is. Option B the sum of the squared residuals.

lets check all the option -

Option A - This claim is untrue because the residuals' summation would provide a value of 0.

Option B - Because error must be kept to a minimum, the residuals must sum to zero and the line must be as close to the points as possible. Prior to summing them, we must first square the residuals, which will always result in a positive value. This option is accurate since the Least Square Regression Line minimizes the total of residuals.

Option C - This choice is incorrect because the least squares regression line cannot be created by adding the absolute values of the residuals.

Option D - This alternative is incorrect since the influence of outliers has nothing to do with the subject at hand.

Option E - Due to slope's lack of relevance to the subject at hand, this choice is also incorrect.

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Answer:

-5/7

Step-by-step explanation:

know what to put here don't know how to explain!

Sean drew a letter (b)F.

What is Geometry construction?

Drawing precise shapes, angles, or lines is referred to in geometry as "construction." These structures only require a compass, a straightedge (a ruler), and a pencil.

according to the question, WX is a straight line having a midpoint at Y.

YZ is drawn perpendicular to WX. And parallel to YZ  a line segment is drawn After this Geometrical construction, a letter is drawn which is F.

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The required key features of [tex]g(x) = x^{2}[/tex] including domain is (-∞, ∞) (i.e. all real values), range = [0,∞), x-intercept = (0,0), y-intercept = (0,0), interval of increasing = (0,∞) and interval of decreasing = (-∞, 0)

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function.

The graphs of quadratic functions are frequently curved or nonlinear. A parabola, a kind of U-shaped curve, is the particular type of curve that makes up the graph of a quadratic function.

Given, [tex]g(x) = x^{2}[/tex]

The graph of the given function is given below:

From the graph,

Domain = (-∞, ∞) (i.e. all real values)

Range = [0,∞)

x-intercept = (0,0)

y-intercept = (0,0)

Interval of increasing = (0,∞)

Interval of decreasing = (-∞, 0)

Hence, these are the required key features of  [tex]g(x) = x^{2}[/tex].

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3 thousand 500 dollars

Step-by-step explanation:3x7=21

The measure of the angle ∠C is 17°.

The angle having a measure equal to 32° and the angle ∠B form a linear pair. They are supplementary angles. When two lines cross, they generate a pair of neighbouring angles called a linear pair. A linear pair's two angles are always supplementary, which means their measurements add up to 180 degrees. The sum must be equal to 180°.

32° + ∠B = 180°

∠B = 180° - 32° = 148°

Now, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.

∠B + ∠C + 15° = 180°

148° + ∠C + 15° = 180°

∠C + 163° = 180°

∠C = 180° - 163° = 17°

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0.5  is the p-value for this Z -test .

What is the Z test's p-value?

For a lower tail test, the test statistic z is determined to be zero that means

P(z<0)

Then p-value is

p-value = P(z<0) = 0.5 (From z score table )

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The system of linear equations which is used to find number of 7 -inch plates ,x and 12- inch plates y is

x+y = 15 ---(1)

7x+12y = 144 ---(2)

In the given question we have following informations,

total number of plates in kitchen cabinet = 15

diameter of each plate either 7-inch or 12-inch.

let the number of plates in kitchen cabinet with Diameter 7-inch = x

and number of plates in kitchen cabinet with Diameter 12-inch = y

the diameter of all 15 plates combined = 144 inches

from the above details we can make a system of linear equations for two variables say x and y

x + y = 15 -----(1)

7x + 12y = 144 ---(2)

equation (1), (2) made the required system of equations.

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Answer:

496.5714285714

Step-by-step explanation:

82+79+85+100+46+92+88

7

=496.5714285714

The equation of linear equation is y = -5x +3.

What is equation of linear equation?

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

The standard form or the general form of linear equations in one variable is written as, Ax + B = 0; where A and B are real numbers, and x is the single variable. The standard form of linear equations in two variables is expressed as, Ax + By = C; where A, B and C are any real numbers, and x and y are the variables.

The slope intercept form of linear equation is

y = mx + b

where m is the slope.

Given,

The slope = -5

and the points are (4, -17)

y = -17, x = 4, m = -5

-17 = -5(4) + b

-17 = -20 + b

-17 + 20 = b

b =3

The equation of linear equation is y = -5x + b

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Answer: 55.56%

Step-by-step explanation:

To find the percentage, we need to do part over whole. Part being the females and the total marathon runners being the total. So that would be 95/95+125, then 95/225, then 55.555555 and repeating. Then we would round that to 55.56%.

The values indicated trigonometric functions are cot(β) = 0.14, cos(β) = 0.14, tan(90-β) =  0.14 and csc(β) = 1.01

Trigonometric functions are the periodic functions that denote the relationship between angle and sides of a right-angled triangle e.g sine, cosine, tangent, etc.

Given: tan(β) = 7

Thus, β = arc tan 7 = 81.87

(a) cot(β) = 1/tan(β) = 1/7 = 0.14

(b) cos(β) = cos 81.87 = 0.14

(c)  tan(90-β) =  tan(90-81.87) = tan 8.13 = 0.14

(d) csc(β) = 1/sinβ = 1/sin(81.87) = 1.01

Therefore, the value of the trigonometric functions are cot(β) = 0.14, cos(β) = 0.14, tan(90-β) =  0.14 and csc(β) = 1.01

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Answer:

41 pounds of raspberries and 25 pounds of grapes

Step-by-step explanation:

x = pounds of raspberries
y = pounds of grapes

1.50x + 2.75y = 130.25
x + y = 66 --> y = -x + 66

Substitute and solve for x:
 1.50x +2.75(-x +66) = 130.25
1.50x - 2.75x + 181.5 = 130.25
150x - 275x + 18150 = 13025
           -125x +18150 = 13025
                       -125x = -5125
                              x = 41

Substitute x to find y:
41 + y = 66
y = 25

Answer:

There were 41 pounds of raspberries sold and 25 pounds of grapes sold.

Step-by-step explanation:

Answer:

(x+10,y+8)

Step-by-step explanation:

If you look at the point (0,2) and it image (10,10)  To go from 0 to 10 you must move 10 spaces to the right.  That would be x + 10.

If you look at the same two points.  You would have to move up 8 spaces to go from 2 to 10.  That would be y + 8.

The same thing is true with the second two points given.

The solution for the given expression -0.5x-3.69=x-1.9-2.3 is x= 0.34

The given problem is related to an algebraic expression which is the thought of expressing numbers utilizing letters or letter sets without indicating their real values, which is made up of factors and constants, at the side of logarithmic operations (expansion, subtraction, etc.). Expressions are made up of terms.

since the  given expression is :

-0.5x-3.69=x-1.9-2.3

=>-0.5x-x=-1.9-2.3+3.69

=>-1.5x=-0.51

=>x=0.34

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Equation in slope-intercept form of the line that passes through the given points is y = 2x - 1/2.

Given points:

(1, 1.5) and (2, 3.5)

slope m = 3.5 - 1.5 / 2 - 1

= 2/1

m = 2

substitute m and (1,1.5) in y = mx + c

1.5 = 2*1 + c

1.5 - 2 = c

c = -0.5

c = -1/2

y = mx + c

y = 2x - 1/2.

Therefore equation in slope-intercept form of the line that passes through the given points is y = 2x - 1/2.

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Answer:

8/2 or 4/1

Step-by-step explanation:

To find the slope, you simply count how high up one point is from another (0,0 to 2,8) and then how far over. Since 2,8 is 8 points up from 0,0 the numerator of our slope would be 8; and since 8,2 is two over from 0,0 the denominator is 2. Simplify this to 4/1.

Answer:

24,278

Step-by-step explanation:

Answer:

x ≥ -10

Step-by-step explanation:

Given equation,

→ 5x + 13 ≥ -37

Now the value of x will be,

→ 5x + 13 ≥ -37

→ 5x ≥ -37 - 13

→ x ≥ -50/5

→ [ x ≥ -10 ]

Hence, the value of x is -10.

The cost for 14 boxed lunches is $107.10.

From the information, the company orders 11 boxed lunches from a deli for $84.15. Therefore, we need to calculate the unit price and this will be:

= Total amount / Number of orders

= $84.15 / 11

= $7.65

Therefore, the value for 14 boxes will be:

= Unit price × Number of orders

= $7.65 × 14

= $107.1

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Answer:

Step-by-step explanation:

Percent increase is the percent of the increased value over the initial value.

In our case the increase is represented by the difference of values and the initial value is Value 1.

So the matching choice is D.

=====================================

Answer choices in the comment:

Answer:

70%

Step-by-step explanation:

The graph of the equation y = 2x - 3 at the interval of -3 to 5 is attached below.

Graph:

Graph means the diagram that shows the variation of a variable in comparison with that of one or more other variables.

Given,

Here we have the equation y = 2x - 3

Now, we need to plot the graph of the given equation at the interval of -3 to 5..

To plot the graph for the given function,

The given interval is taken as the value of x and we have to calculate the value of y from it,

Now, we have to take the given interval  -3, -2, -1, 0, 1, 2, 3, 4, 5 are the samples value for x.

So, we have to apply the values on the equation,

Then we get the value of the function as,

x = -3 => y = 2(-3) - 3 = -6 - 3 = 9

x = -2 => y = 2(-2) - 3 = -4 - 3 = -7

x = -1 => y = 2(-1) - 3 = -2 - 3 = -5

x = 0 => y = 2(0) - 3 = 0 - 3 = -3

x = 1 => y = 2(1) - 3 = 2 - 3 = -1

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

x = 3 => y = 2(3) - 3 = 6 - 3 = 3

x = 4 => y = 2(4) - 3 = 8 - 3 = 5

x = 5 => y = 2(5) - 3 = 10 - 3 = 7

The completed table is attached below.

Now, we have to plot the graph through the derived table, then we get the graph like the following.

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Answer:

x > 17

Step-by-step explanation:

x - 5 > 12 ( isolate x by adding 5 to both sides )

x > 17

-------------- from your comment

x - (- 5) > 12 , that is

x + 5 > 12 ( subtract 5 from both sides )

x > 7

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Divide the top and bottom on the fraction by 4

Submitting an online survey is one example of volunteer sampling.

When researchers look for volunteers to participate in studies, they use voluntary sampling. Volunteers can be recruited in person, online, through public postings, and through a variety of other means. When using voluntary sampling, a researcher usually makes little effort to control the sample composition.

The customer satisfaction survey is a common form of voluntary sampling. When a company provides a service or a product, it frequently asks customers to rate their satisfaction. The sample is voluntary and biased because the company asks all customers to volunteer their opinions.

Researchers in academia frequently seek volunteer samples by asking students to participate in research or by looking for people in the community.  Volunteer samples are used for a variety of different types of research because they are inexpensive.

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The required equation of the line is y = -(1/2)x + 1/2 which passes through the points (-9,5), (17,-8).

The slope of a line is expressed as the gradient of the line.

Given that line passes through the points (-9,5), (17,-8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -9, y₁ = 5

x₂ = 17, y₂ = -8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 5 = (-8- 5)/(17-(-9))[x -(-9)]

⇒ y - 5 = (-13)/(26)[x +9]

⇒ y - 5 = -1/2(x +9)

⇒ y = -(1/2)x - 9/2 + 5

⇒ y = -(1/2)x + 1/2

Therefore, the equation of the line is y = -(1/2)x + 1/2 which passes through the points (-9,5), (17,-8).

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