is the standard deviation of the numbers x, y, and z equal to the standard deviation of 10, 15, and 20 ?

The shortest routes between each pair of nodes are:
- Fruit - Hay: Fruit - Shade - Grass - Hay or Fruit - Shade - Barn - Hay (tied for shortest route)
- Grass - Pond: direct route with a distance of 190

To determine the shortest route between a pair of nodes, we need to consider all possible routes and compare their distances.

In this case, we have five pairs of nodes to consider: Fruit - Hay, Grass - Pond, Fruit - Shade, Barn - Pond, and Fruit - Pond.

Starting with Fruit-Hay, we don't have any direct distance given between these two nodes. However, we can find a route that connects them by going through other nodes.

One possible route is Fruit - Shade - Grass - Hay, which has a total distance of 165 + 95 + 60 = 320.

Another possible route is Fruit - Shade - Barn - Hay, which has a total distance of 165 + 35 + 120 = 320.

Therefore, both routes have the same distance and are tied for the shortest route between Fruit and Hay.

Moving on to Grass-Pond, we have a direct distance of 190 between these two nodes.

Therefore, this is the shortest route between them.

For Fruit-Shade, we already considered one possible route when looking at Fruit-Hay.

However, there is also another route that connects Fruit and Shade directly, which has a distance of 165.

Therefore, this is the shortest route between Fruit and Shade.

Looking at Barn-Pond, we don't have a direct distance given. We can find a route that connects them by going through other nodes.

One possible route is Barn - Hay - Grass - Pond, which has a total distance of 120 + 60 + 190 = 370. Another possible route is Barn - Shade - Fruit - Pond, which has a total distance of 35 + 165 + 300 = 500.

Therefore, the shortest route between Barn and Pond is Barn - Hay - Grass - Pond.

Finally, we already considered Fruit-Pond when looking at other pairs of nodes. The shortest route between them is direct, with a distance of 300.

In summary, the shortest routes between each pair of nodes are:

- Fruit - Hay: Fruit - Shade - Grass - Hay or Fruit - Shade - Barn - Hay (tied for shortest route)
- Grass - Pond: direct route with a distance of 190
- Fruit - Shade: direct route with a distance of 165
- Barn - Pond: Barn - Hay - Grass - Pond
- Fruit - Pond: direct route with a distance of 300

Know more about distance here:

https://brainly.com/question/26550516

#SPJ11

Answer:3148521

Step-by-step explanation: cuz ik everything

The exact value of trigonometric ratio, tan 13π/4 is 1

The given trigonometric ratio,

tan 13π/4

We can write is as

⇒ tan(3π + π/4)

We know one rotation takes 2π angle

Then,

After 3π rotation the quadrant of tan be 3rd quadrant

Since in 3rd quadrant the trigonometric ratio tan is always positive

therefore,

⇒ tan(3π + π/4) = tan(π/4)

Ans we also know that

At π/4 the value of tan is 1.

then,

⇒  tan(π/4) = 1

Hence the exact value of

⇒  tan 13π/4

     =  tan(3π + π/4)

     = 1

To learn more about trigonometric ratio visit:

https://brainly.com/question/11016599

#SPJ1

Length of arc(DAB) is 83.98.

A quadrilateral is a four-sided polygon, which is a two-dimensional geometric figure with four straight sides and four angles. Quadrilaterals are classified based on their properties and characteristics, such as the length of their sides, the size of their angles, and the presence of parallel sides or right angles. Some common types of quadrilaterals include squares, rectangles, rhombuses, trapezoids, and parallelograms.

In the given circle;

∠DAB=97°

Radius of circle=29

We know, sum of opposite angle of quadrilateral inscribed in the circle is 180°

∠DAB+∠DCB=180°

∠DCB=180°-97°

∠DCB=83°

∠DPB=2×∠DCB

∠DPB=2×83

=166°

Length of arc(DAB)=∠DPB/360°×2πr

=166/360×2×π×29

=83.98.

To Know more about rhombuses, visit:

https://brainly.com/question/16547718

#SPJ1

Answer:

A, B, D, E

Step-by-step explanation:

Given expression:

When multiplying decimals, multiply as if there are no decimal points:

\(\implies 6 \times 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 5 digits.

Put the same number of total digits after the decimal point in the product:

\(\implies (0.06) \cdot (0.154)=0.00924\)

-----------------------------------------------------------------------------------------------

Answer option A

\(\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}\)

When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.

Therefore:

\(\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)\)

Therefore, this is a valid answer option.

Answer option B

\(\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}\)

Multiply the numbers 6 and 154:

\(\implies 6 \times 154 = 924\)

Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).

\(\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924\)

Therefore, this is a valid answer option.

Answer option C

\(\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}\)

Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:

\(\implies 6 \cdot 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 3 digits.

Put the same number of digits after the decimal point in the product:

\(\implies 0.924\)

Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.

Answer option D

\(\boxed{6 \cdot 154 \cdot (0.00001)}\)

Again, employing the technique of multiplying decimals.

As there are a total of 5 digits after the decimals:

\(\implies 6 \cdot 154 \cdot (0.00001)=0.00924\)

Therefore, this is a valid answer option.

Answer option E

\(\boxed{0.00924}\)

As we have already calculated, (0.06) · (0.154) = 0.00924.

Therefore, this is a valid answer option.

Answer:

c) -2y = 10x + 6

Step-by-step explanation:

The equation of a line in slope-intercept form is:

\(y=mx+b\)

The variables stand for:

\(y:$ y-coordinate of any point on the line\\$x:$ x-coordinate of any point on the lien\\$m: $ Slope of the line\\$b: $ y-intercept of the line; where the line meets the y-axis\)

Plugging in the given information into the equation:

\(y=-5x+(-3)\\y=-5x-3\)

Go through the answer choices:

a)  2y = -5x - 3

Divide both sides of the equation by 2

\(y=-\frac{5}{2}x-\frac{3}{2}\rightarrow\text{Incorrect!}\)

b) -2y = 10x - 6

Divide both sides of the equation by -2

\(y=\frac{10}{-2}x-\frac{6}{-2}\\y=-5x-(-3)\\y=-5x+3\rightarrow\text{Incorrect!}\)

c) -2y = 10x + 6

Divide both sides of the equation by -2

\(y=\frac{10}{-2}x+\frac{6}{-2}\\y=-5x+(-3)\\y=-5x-3\rightarrow\text{Correct!}\)

d) 2y = 10x - 6

Divide both sides of the equation by 2

\(y=\frac{10}{2}x-\frac{6}{2}\\y=5x-3\rightarrow\text{Incorrect!}\)

Therefore the answer is c) -2y = 10x + 6

Additional Comments:

We can only divide both sides of the equation by 2 and/or -2 because of the Division Property of Equality. This property states that if we divide one side of the equation by a certain quantity, we must divide the other side by the same quantity so that the equation remains equal.

Answer:

there's nothing there?

The probability that the student chosen will be a boy who watched tennis yesterday is 1/8.

Given that 56 students were asked if they watched tennis yesterday, 20 of the students are boys, 17 girls watched tennis yesterday and 32 students did not watch tennis yesterday and out of all these one students is to be chosen at random.

We have to find the probability that the student chosen will be a boy who watched tennis yesterday.

Total number of students is 56.

The total number of girls is 56-20=36

Girls who didn't watch tennis is 36-17=19

Number of the boys who did not watch the game is 32-19=13

Number of boys watching a tennis match is 20-13=7

Now, we will find the probability that the student chosen will be a boy who watched tennis yesterday.

Probability=Number of boys watching a tennis match/Total number of students
Probability=7/56

Probability=1/8

Hence, the probability that the student chosen will be a boy who watched tennis yesterday when 56 students were asked if they watched tennis yesterday is 1/8.

Learn more about the probability from here brainly.com/question/25870256

#SPJ4

Answer:

22666.02986

Step-by-step explanation:

Answer:

The answer would be the first one.

Step-by-step explanation:

The first answer, any variable is not true because it would not be logical because when someone is checking your work, they wouldn‘t know what that variable is. And it is logical to list what the problem is asking, AND word problems CAN be solved using an equation.

Answer:

it's not in a straigt line so ne

Step-by-step explanation:

Answer:domain: (−∞,∞)

range: [−9,∞)

Step-by-step explanation:

First write the equation, then calculate the equation step by step, multiply, subtract, or add the equations to get the values of x and y. The Value of x = 16/3 and y = 10/3.

Steps to eliminate variables and solve values:

(1) Write the two equations in standard form. If any coefficients are fractional, clear them.

(2) Inverts the coefficient of a variable.

(3) Determines the variables to eliminate.

(4) Multiply one or two equations so that the coefficients of these variables are reversed.

(5) Add the equations from step 2, eliminating one variable.

(6) Solve for the remaining variables.

(7) Substitute the solution from step 4 into one of the original equations. Then solve for another variable.

(8) will be interpreted as ordered pairs.

(9) Check if the ordered pair is a solution of the two original equations.

Given that:

5x−2y = 20        -------------------- (1)

8x+ 4y = 12        --------------------- (2)

Now,

Expanding the equation (2):

   (x+2y) +(5x -2y) = 12 + 20

⇒ x+2y + 5x -2y = 32

⇒ 6x = 32

⇒ x = 32/6

⇒ x = 16/3

Now, Putting the value of x = 16/3 in equation (1)

   5(16/3) −2y = 20  

⇒ (5× 16)/3 - 2y/3 = 20

⇒ 80/3 - 2y/3 = 20

⇒ -6y = -20

Dividing the both the side by 6, we get:

   -6y/6 = 20/6

⇒ y = 10/3

therefore, x = 16/3 and y = 10/3

Learn more about value:

https://brainly.com/question/14316282

#SPJ4

The probability of winning at least one award is 1 - 0.2373 = 0.7627 or 76.27%.

If the probability of winning an MTV music award after being nominated is 25%, the probability of not winning is 75%. Thus, the probability of not winning any of the five awards is (0.75)^5 = 0.2373.

As for how many awards Ariana Grande should expect to win, we can use the expected value formula: E(x) = n * p, where n is the number of trials (in this case, 5) and p is the probability of success (0.25). Therefore, E(x) = 5 * 0.25 = 1.25. So, Ariana Grande can expect to win about 1 award.

Finally, to calculate the standard deviation associated with this probability, we can use the formula: σ = sqrt(n * p * (1-p)). Plugging in the values, we get σ = sqrt(5 * 0.25 * 0.75) = 0.866. Therefore, the standard deviation associated with this probability is approximately 0.866.

To learn more about probability click here

brainly.com/question/30034780

#SPJ11

From the analysis of the above math, the amount she invested in the CD account is 5,000. See the analysis below.

Let A be the amount invested in the CD.

Let B be the amount invested in the savings bond.

A + B = 15, 000

.04A + .07B = 900

Multiply the first equation by -.04 and add it to the second equation to get rid of the A term.

-.04A-.04B = -600  add this equation to the second equation.

.03B = 300  multiplying by 100.  3B = 30,000

dividing by 3 on both sides: B = 10,000.  So A = 5,000

So she invested 5,000 in the CD account

Learn more about math analysis:
https://brainly.com/question/24439065
#SPJ1

Answer:

CSA of cylinder = 704cm²

We know that

CSA of cylinder = 2πrh

or 2πrh = 704

or, 2*22/7 *8 *h = 704 ( since r=8cm)

or, 352h = 704*7

or, h = 4928/352 = 14cm

The p-value for the survey's test statistic is approximately 0.005. and since it is less than the significance level of 0.01, the result would be considered statistically significant.

To calculate the p-value, we can use a binomial test. The null hypothesis states that the proportion of dentists who recommend Trident gum is 4/5 (0.8), and the alternative hypothesis is that the proportion is different from 0.8.

In the survey, out of 146 dentists, 140 recommended Trident gum. We can calculate the test statistic, which is the number of successes (140) minus the expected number of successes under the null hypothesis (0.8 * 146 = 116). Dividing this by the square root of the expected number of successes times the complement of the success probability (sqrt(146 * 0.8 * 0.2)), we obtain the test statistic value.

From the test statistic value, we can find the p-value, which is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true. In this case, the p-value is approximately 0.005.

Since the p-value (0.005) is less than the significance level of 0.01, we reject the null hypothesis and conclude that the survey's result is statistically significant. This means that the proportion of dentists recommending Trident gum is significantly different from 4/5, as claimed by Trident Gum.

Learn more about Statistic : brainly.com/question/30218856

#SPJ11

Answer:

I think 247 is your answer!

Step-by-step explanation:

$560 plus a 6.5% of her sales = 596.4 US$

3800 plus a 6.5% of her sales last week = 4047

6.5% of 3800 is 247

Distance is increasing with a speed of 0.2 Miles/Min

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Time in Minutes      Distance in Miles

0                              0.0

2                              0.4

4                              0.8

6                              1.2

8                              1.6

Here, Myra’s distance is increasing as time increase with a constant Speed.

Now, In every 2 mins distance traveled = 0.4 Miles

Hence, In every 1 min Distance traveled = 0.4/2 = 0.2 Miles/Min

Thus, Distance is increasing with a speed of 0.2 Miles/Min.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Jody has created a systematic sampling error by forgetting to include a segment of the population that is relevant to the study.

Systematic sampling is a sampling method where every nth member of a population is selected to be part of the sample. In Jody's case, she forgot to include a specific segment of the population, which means that the sampling process was not systematic. This error can introduce bias and affect the representativeness of the sample.

No calculations are required for this type of error.

Jody's mistake in not including a relevant segment of the population has resulted in a systematic sampling error. To ensure the accuracy and validity of the study, it is important to rectify this error by including the missing segment or adjusting the sampling method accordingly.

To know more about sampling error follow the link:

https://brainly.com/question/30765764

#SPJ11

well, we know the base is an equalateral triangle and the height of the pyramid is 15 cm, so

\(\textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4} ~~ \begin{cases} s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ s=12 \end{cases}\implies A=\cfrac{12^2\sqrt{3}}{4} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3} ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ h=15\\\\ B=\frac{12^2\sqrt{3}}{4} \end{cases}\implies V=\cfrac{1}{3}\cdot \cfrac{12^2\sqrt{3}}{4}\cdot 15\implies V\approx 312~cm^2\)

Answer:

a = 8

b = 5

Step-by-step explanation:

Answer:

41.61

Step-by-step explanation:

Just divide.

\(\begin{matrix}4\overline{|\smallspace166.44}\:\:\:\:\:\:\:\end{matrix}\)

Answer: We have the equation:

166.44 ÷ 4 = 41.610

Calculated to 3 decimal places.

 0 4 1. 6 1 0

4 1 6 6. 4 4 0

− 0          

 1 6        

− 1 6        

   0 6      

 −   4      

     2 4    

   − 2 4    

       0 4  

     −   4  

         0 0

       −   0

           0

Step-by-step explanation: hope this helps

Answer:

6p+6

Step-by-step explanation:

Answer:

ELAINE!?!?!?!?!??!?!?!??!??!?!

Step-by-step explanation:

SMH SMH

Answer:

C

x=1.3333

Step-by-step explanation:

Step-by-step explanation:

If the interest is not compounded, it means that Mabel will earn a simple interest of 11% per year on her principal amount of $30,000.

The formula for calculating simple interest is:

Interest = (Principal x Rate x Time)

Where:

Principal = $30,000

Rate = 11% = 0.11 (as a decimal)

Time = 2 years

So, substituting the values in the formula, we get:

Interest = (30,000 x 0.11 x 2) = $6,600

Therefore, Mabel will earn $6,600 in interest over a period of 2 years.

Answer:

the answer is c !

Step-by-step explanation:

Answer:

Step-by-step explanation: