The cost to make a path connecting all four landmarks is based on the proposal shown. The cost of path A is $29. The cost of path B is $59 The cost of path C is $32 The cost of path D is $38 Find the cost of the minimum spanning tree to connect all four landmarks?

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Answer:

[tex]GQ =25[/tex] --- GoTV

Step-by-step explanation:

Given

[tex]GQ = 2x + 3[/tex]

[tex]GH= 5x - 5[/tex]

Required

Find GQ

Since Q is the midpoint, then:

[tex]GH = 2 * GQ[/tex]

This gives:

[tex]5x - 5 = 2[2x+3][/tex]

Open bracket

[tex]5x - 5 = 4x+6[/tex]

Collect like terms

[tex]5x - 4x = 5+6[/tex]

[tex]x =11[/tex]

We have:

[tex]GQ =2x+3[/tex]

This gives:

[tex]GQ =2*11+3[/tex]

[tex]GQ =25[/tex]

Answer:

Part 1

SE= 31.94

Part2;

The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.

Part 3:

576.31, 701.51

Part4:

This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.

Part 5:

Yes.  out of 100 , 95 of the intervals will contain the true value of population mean u .

Step-by-step explanation:

Part 1

The standard error is calculated using the formula

SE  = S/√n

where s is the standard deviation of the sample = $ 105.93

and n is the sample size= 11

Putting the values we get

SE= $ 105.93/ √11= 31.939

Part2;

The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.

Part 3:

The z∝/2 value for 0.05 is  ± 1.96

The 95 % confidence interval will be given by

x` ±z ∝/2 * s/√n

Putting the values

638.91 ± 1.96 * 31.94

638.91 ± 62.6006

576.31, 701.51

Part4:

This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.

Part 5:

Yes when the hypothesis testing is done and the sample mean is found to be equal to the population mean then it means that the population mean is to be found in this interval; 95% .

Or out of 100 , 95 of the intervals will contain the true value of population mean u.

Answer:

Isosceles Triangle

Step-by-step explanation:

Triangles in which 2 sides are equal are called isosceles triangles

Answer:

1 it’s a triangle

2 it has sides and… jk

I don’t really know much especially because you didn’t give me much info but I know it’s an acute angle and it’s a polygon and it’s an isoscele triangle and… that’s all I know. But I’m sorry if I’m a waste of space but I tried my best and I hope i helped. ✌

Step-by-step explanation:

Byeeeeeee

sorry again if I didnt help…

I really tried really hard.

Y = 20

X = 70

We know Y is 20 because both triangles are the same size. 20 is in the opposite corner to Y. The right corner is 90 degrees. There are 180 degrees in a triangle. To get your answer you are going to add 20 and 90 to get 110 then you will subtract 110 from 180.

Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.

8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.

The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means

(3.2 + q) / (8 + q) = 0.60

Solve for q :

3.2 + q = 0.60 (8 + q)

3.2 + q = 4.8 + 0.6q

0.4q = 1.6

q = 4

Answer:

42g

Step-by-step explanation:

70% of 60 = 42

Answer:

(10, 15)

Step-by-step explanation:

To get the origin of the equation 2y+3x = 10, we need to get the x and y-intercept of the line.

x-intercept occurs at y = 0

If y = 0

2(0)+3x =10

3x =10

x = 10/3

x = 1.33

y-intercept occurs at x = 0

If x = 0

2y+3(0) =10

2y =10

y = 10/2

y = 5

Hence the coordinate at the origin is (10/3, 5). If this coordinate is dilated by 3, the required coordinate will be at (10/3*3, 5*3) = (10, 15)

Hence the required coordinate is (10, 15)

Answer:

[tex]x = 0, - 7[/tex]

Step-by-step explanation:

[tex]8x^2 + 56x=0[/tex]

[tex]8x(x)+56x=0[/tex]

[tex]8x(x)+8x(7)=0[/tex]

[tex]8x(x+7)=0[/tex]

[tex]x=0 [/tex]

[tex]x+7=0[/tex]

[tex]x=−7[/tex]

Answer:

A

Step-by-step explanation:

Answer:

(-3,2)

Step-by-step explanation: The bottom most point of the graph is 3 back from 0 and 2 up from 0

Answer:

$6

Step-by-step explanation:

(x-3)+x=15

2x-3=15

2x=18

x=9

9-3=6

Melanie makes 6 and Carlita makes 9.

Answer:

B

Step-by-step explanation:

Slope Formula

6 - (-2) / 3 - 1

8 / 2 = 4

The slope of the graph is 4.

Option B is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The coordinates from the graph are:

(1, -2), and (3, 6)

Now,

Slope.

= (6 -(-2)) / (3 - 1)

= (6 + 2) / 2

= 8/2

= 4

Thus,

The slope of the graph is 4.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ5

The angle at the vertex of a rectangle is 90°

So, it means that,

= ? + 40 = 90

= ? = 90 - 40

= ? = 50

Answer:

50°

Step-by-step explanation:

x = ?°

x + 40° = 90°

x = 90° - 40°

x = 50°

Answer:

334.4 m²

Step-by-step explanation:

The formula for the area of a sector is given as:

1/2 × r² × θ

Where θ = Central angle

Area of a Circle = 700 m²

The formula for the area of a circle = πr²

r = Radius of a circle

r² = Area / π

r = √Area / π

r = √700/π

r = 14.927053304 m

Approximately, r = 14.93 m

Therefore, the area of the sector

= 1/2 × r² × θ

= 1/2 × 14.93² × 3 rad

= 334.35735 m²

Approximately, Area of the sector = 334.4 m²

Answer:

Step-by-step explanation:

[tex]81^{1/2}[/tex]

[tex]3^4*{1/2}[/tex]

[tex]3^{4/2}[/tex]

[tex]3^{2}[/tex]

9

[tex]-16^{3/4}[/tex]

[tex](-2)^{4 *3/4}[/tex]

[tex](-2)^{12/4}[/tex]

[tex](-2)^{3}[/tex]

-8

Answer:

the constant proportionality means the ratio between two directly proportional quantities.

so the constant proportionality will be 7.5÷6=1.25 or 10÷8=1.25 or 12.5÷10=1.25

constant proportionality should be same all through because it's a constant

Answer:

what shape?

you gotta give more lol

[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]

Use the following property above to find the value. Substitute f(x) and g(x) in.

[tex] \large{(2x + 3) + ( {x}^{2} - 8)} \\ \large{2x + 3 + {x}^{2} - 8}[/tex]

Evaluate/Combine like terms.

[tex] \large{2x + {x}^{2} - 5}[/tex]

This step is optional but it's the best to arrange the degree.

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

Answer

Let me know if you have any doubts!

Answer: 8

Step-by-step explanation:

are you in elementary school

Answer:

8 staff

Step-by-step explanation:

6 +2 = 8 There are 8 staff working there.

If this is done a different way explain or lmk? Hope you are having a wonderful day!! Of not it'll get better I promisee! <33 :))

Answer:

0.5 I believe

Step-by-step explanation:

right triangle

Hope this helps! :)

Answer: 3/q

Step-by-step explanation:

Answer:

Step-by-step explanation:

A circle has rotation symmetry around the center for every angle. A circle has an unlimited number of angles of symmetry and the order of its rotation is infinite.

Answer:

I'm gonna guess your length is positive and you made a typing mistake. If that's so....

Step-by-step explanation:

Area= length x breadth

       =[tex]\frac{3}{7\\}[/tex] x [tex]\frac{16}{3}[/tex]

       =[tex]\frac{16}{7}[/tex]

       =2.29 [tex]unit^{2}[/tex]

the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.

He knows the relation:

3 cups of granola ⇒ 0.75 cups of raisins.

Assuming this is a proportional relation of the form:

y = k*x

Where k is a constant.

Then when x = 0, we also have y = 0, so the line also passes through the point (0, 0), which is the origin.

Then the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.

If you want to learn more about proportional relationships:

https://brainly.com/question/12242745

#SPJ1

Answer:

C = 125S + $3750

Step-by-step explanation:

$ 3750  = truck rental;   $125 per ton of sugar transported.  C is the cost;  S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:

(1, 3875)  (2, 4000)  (3, 4125)  etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]