Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?

28
30
31
40

Answer:

the P-value = 0.1977

conclusion: Since the p-value is not small;

we reject null hypothesis

hence, the data does not support claim that more than half of the bathroom scales underestimate weight.

Step-by-step explanation:

 Given the data in the question;

let X represent the number of successes ( the weight is underestimated ) in n independent Bernoulli trials, each with the success probability p

X - Bin( n,p).

so

Null hypothesis             H₀ : p ≤ 0.5

Alternative hypothesis Hₐ : p > 0.5

now, compute np₀ and n( 1 - p₀ )

np₀ = (50)(0.5)

np₀ = 25

n( 1-p₀ ) = (50)(1 - 0.5)

n( 1-p₀ ) = 25

we can see that both values are greater than 10.

∴ the sample proportion is approximately normally distributed;

P" - N ( p₀, [tex]\frac{p_{0}(1-p_0)}{n}[/tex] )

sample proportion p" = 28/50 = 0.56

standard deviation will be;

σ[tex]_{p"[/tex] = √( p₀(1-p₀) / n )

σ[tex]_{p"[/tex] = √( 0.5(1-0.5) / 50 )

σ[tex]_{p"[/tex] = √( 0.25 / 50 )

σ[tex]_{p"[/tex] = 0.07071

Next is the Z-score

z = p" - p₀ / σ[tex]_{p"[/tex]

z =  0.56-0.5 / 0.07071

z = 0.06 / 0.07071

z = 0.85

from table,

the probability that a standard normal random variable takes on a value greater than 0.85 is approximately 0.1977

Therefore, the P-value = 0.1977

conclusion: Since the p-value is not small;

we reject null hypothesis

hence, the data does not support claim that more than half of the bathroom scales underestimate weight.

p = 0.197663

Answer:

119 is the 35th term

Answer:

F. g(x)=f(x)-5

Step-by-step explanation:

Answer:

Supplementary

Step-by-step explanation:

53 + 125 = 180 degrees

Answer:

I think its b. Every 0.81 days the plant grows 0.07 inches.

Step-by-step explanation:

i took the same test on egd.

Answer:

c. Initially, the plant had a height of 0.07 inches.

Step-by-step explanation:

EDGE 2023

ANSWER;

6/ 2(1+2)

= 6/ 2(3)

= 6/ 2X3

= 6/6

= 1

Answer:

6 ÷ 2 [1 + 2]

= 6 ÷ 2 + 4

= 6 ÷ 6

= 1

Answer:

Step-by-step explanation:

Distance = 6 miles

Time = 3 hours

Speed = Distance ÷ Time

Speed = 6 ÷ 3

Speed = 2 miles/hour

....................................................

Speed = 2 miles/hour

Distance = 7.5 miles

Time = Distance ÷ Speed

Time = 7.5 ÷ 2

Time = 3.75 hours

3.75 hours = 3 hours & 45 minutes

Answer:

Step-by-step explanation:

Time taken to travel 6 miles = 3 hours

Time taken to travel 1 mile = 3 ÷ 6 = [tex]\frac{3}{6}=\frac{1}{2} hour[/tex] = 30 minutes

Time taken to travel 7.5 miles = 30 * 7.5 = 225 minutes = 3.45 hours

Answer:

5L

Step-by-step explanation:

[tex]\frac{5000mL}{1}*\frac{1L}{1000mL} = 5L[/tex]

Answer:

5L

Step-by-step explanation:

If you are trying to find out how many liters there are in 5000 milliliters then it is 5

Answer:

2

Step-by-step explanation:

To find the mean, you divide the number you get from adding all the numbers by the number of numbers. In this case, we know the mean and the number of numbers but don't know the number you get from adding all the numbers. So, we have to do the reverse operation meaning we have to multiply 13 and 10 together which would equal 130.

Now, we do the same thing with 11 and 12, we multiply! 11 x 12 = 132.

130 + 2 = 132, meaning the answer is 2.

You're welcome!

The eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

Formula for mean is;

Mean = Sum of numbers/sample size

We are given;

Mean = 13

Sample size = 10

Thus, sum of numbers = 13 × 10 = 130

Now, we want to add an eleventh number so that the mean will be 12.

Thus, n = 11

12 = (130 + x)/11

Cross multiply to get;

12 * 11 = 130 + x

x = 132 - 130

x = 2

Thus, the eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

Read more at; https://brainly.com/question/6995725

Answer:

Answer:

x=−1.27794

Step-by-step explanation:

x(x−5)2=x2−52

x3−10x2+25x=x2−52

Step 1: Subtract x^2-52 from both sides.

x3−10x2+25x−(x2−52)=x2−52−(x2−52)

x3−11x2+25x+52=0

Step 2: Use cubic formula.

x=−1.27794

Hope it helps +_+

Answer:

m-2

Step-by-step explanation:

m is being subrtacted by 2

Answer:

Point A

Step-by-step explanation:

Answer:

point A

Step-by-step explanation:

The point A is opposite with the point R and the x-axis is between them.

Answer:

she starts with $25

every three games she spends $1.50 (.50 per game)

Step-by-step explanation:

i mean i cant really explain it, its kinda self explanatory

Answer:

The figure is a triangular prism

Step-by-step explanation:

it's bc the bases are triangles

A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides. The given net will form a triangular prism.

A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides. A right triangular prism has rectangular sides and is oblique otherwise.

A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides. The given net will form a triangular prism.

Learn more about Triangular Prism:

https://brainly.com/question/24046619

#SPJ2

Answer:

x and y

Step-by-step explanation:

Those are variables that could be any number. The integers are considered to be coefficients.

Answer:

volume =

[tex] {7}^{2} \times 3.14 \times 2 \times 4[/tex]

Step-by-step explanation:

volume =area of the base circle × height

It's B because 2 equals 86 dgrees since its vertical angles

Answer:

y=5x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=5(x-(-2))

y+5=5(x+2)

y=5x+10-5

y=5x+5

Answer:

(3x + 8y)(3x - 8y)

Step-by-step explanation:

this is the difference of 2 perfect squares.

9x2 - 64y2

(3x + 8y)(3x - 8y)

Answer:

(a)

[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]

(b) Rate = 5

(c) Rate = 5

Step-by-step explanation:

Given

The attached graph

Solving (a): The piece-wise function

For the first line

Calculate the slope of the first line

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (5,25)[/tex]

So, the slope is:

[tex]m = \frac{25 - 0}{5 - 0}[/tex]

[tex]m = \frac{25}{5}[/tex]

[tex]m = 5[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (0,0)[/tex]

[tex]y = 5(x - 0) + 0[/tex]

[tex]y = 5(x) + 0[/tex]

[tex]y = 5x[/tex]

So, the function of the first line is:

[tex]f(x) = 5x;\ 0 < x \le 5[/tex]

For the second line

Calculate the slope of the second line

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (5,20)[/tex]

[tex](x_2,y_2) = (9,40)[/tex]

So, the slope is:

[tex]m = \frac{40 - 20}{9 - 5}[/tex]

[tex]m = \frac{20}{4}[/tex]

[tex]m = 5[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (5,20)[/tex]

[tex]y = 5(x - 5) + 20[/tex]

[tex]y = 5x - 25 + 20[/tex]

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

So, the function of the second line is:

[tex]f(x) = 5x -5;\ x>5[/tex]

Hence, the piece-wise function is:

[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]

Solving (b): The rate at which customers that buy up to 5lb buy.

[tex]x = 5[/tex]

This question implies that, we determine the rate at which this customer buys.

For [tex]x = 5[/tex]

[tex]f(x) = 5x;\ 0 < x \le 5[/tex]

The slope of the above function is 5.

So, this customer buys at the rate of $5 per lb

Solving (b): The rate at which customers that buy more than 5lb buy the extra pounds above 5lb.

For [tex]x > 5[/tex]

[tex]f(x) = 5x -5;\ x>5[/tex]

Assume x = 6

[tex]f(6) = 5 * 6 - 5[/tex]

[tex]f(6) = 30 - 5[/tex]

[tex]f(6) = 25[/tex]

Express as 20 + 5

[tex]f(6) = 20 + 5 * 1[/tex]

Assume x = 7

[tex]f(7) = 5 * 7 - 5[/tex]

[tex]f(7) = 35 - 5[/tex]

[tex]f(7) = 30[/tex]

[tex]f(7) = 20 + 10[/tex]

Express 10 as 5 * 2

[tex]f(7) = 20 + 5 * 2[/tex]

So, we have:

[tex]f(6) = 20 + 5 * 1[/tex]

[tex]f(7) = 20 + 5 * 2[/tex]

This can be generalized as:

[tex]f(x) = 20 + 5(x - 5)[/tex]

For the above functions;

20 represents the amount they buy the first 5

5 represents the rate at which they buy extra pounds above 5

Hence, they buy the extra pounds at the rate of $5 per pound

Answer:

D

Step-by-step explanation:

because 1 is a factor of every number and also three is a factor of 27

Answer:

43

Step-by-step explanation:

The answer should be 43 because if you divide 172 by 4 it gives you 43 so that gives you the answer 172 ÷ 4 = 43.

Answer/Step-by-step explanation:

As the input increases by 1, the output decreases by 4. The missing number for the Input is 6, and the missing number for output is -17.

Answer:

x=48°

Step-by-step explanation:

We two lines cross over each other, making four angles, the angles opposite each other are equal. They're called vertically opposite angles.

Answer:

x is greater than or equal to -3

[-3, infinity)

{x| -3 less than or equal to x les than infinity}