What is the perimeter of a regular pentagon with 2 consecutive vertices at (-1,2) and (3,-1)?

Answer:

\(\huge\boxed{\sf Option \ A}\)

Step-by-step explanation:

= x² - 4x + 5

We can not factor out this expression, because of we apply mid-term break to it, the factors -4x will break into are -5x + x the coefficients of which when multiplied give -5 and not +5 (side term). This is a known rule in the mid-term break formula.

\(\rule[225]{225}{2}\)

Answer:

Yes

Step-by-step explanation:

If a triangle is a right triangle, the 3 side lengths will check out in the Pythagorean Theorem.

\(a^2+b^2=c^2\)

where a and b are the legs and c is the hypotenuse.

The legs are the 2 shorter lengths and the hypotenuse is the longest length. The 3 side lengths are: 16,63 and 65. Therefore, 16 and 63 are the legs and 65 is the hypotenuse.

a=16

b=63

c=65

\(16^2+63^2=65^2\)

Evaluate each exponent.

16^2=16*16=256

\(256+63^3=65^2\)

63^2=63*63=3969

\(256+3969=65^2\)

65^2=65*65=4225

\(256+3969= 4225\)

Add 256 and 3969

\(4225=4225\)

The statement above is true; 4225 is equal to 4225. Therefore, this is a right triangle because the side lengths check out when plugged into the Pythagorean Theorem.

Answer:

The area of the rhombus is 25.

Step-by-step explanation:

The formula for finding the area of a rhombus is:

A = pq/2

So, the p is the length, and the q is the width.

5 x 10/2 = 25.

Brainliest please! I am so close to getting my next rating! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

A researcher wants to determine if a new advertising campaign improves the amount of time kids spend reading compared to the general population. If she rejects the null hypothesis, she has decided that the advertising campaign does have an effect and that her sample of kids differs significantly from the general population.

In hypothesis testing, the null hypothesis (H₀) assumes that there is no significant difference or effect, while the alternative hypothesis (H₁) suggests the presence of a significant difference or effect. In this case, the null hypothesis would state that the new advertising campaign does not improve the amount of time kids spend reading compared to the general population.

If the researcher rejects the null hypothesis, it means that the data she collected provides enough evidence to suggest that the advertising campaign does have an effect on the amount of time kids spend reading. In other words, the advertising campaign is deemed successful in increasing the reading time among the sample of kids.

Additionally, by rejecting the null hypothesis, the researcher concludes that her sample of kids differs significantly from the general population. This implies that the group of kids who were exposed to the advertising campaign has shown a different behavior in terms of reading time compared to the overall population of kids.

Rejecting the null hypothesis is a significant finding, as it indicates that the advertising campaign has had a positive impact on the reading habits of the children in the study, providing evidence to support the researcher's initial hypothesis that the campaign would improve reading time.

Learn more about population here

https://brainly.com/question/30396931

#SPJ11

Answer:

x = \(\frac{qy}{t}\)

Step-by-step explanation:

\(\frac{tx}{q}\) = y ( multiply both sides by q to clear the fraction )

tx = qy ( isolate x by dividing both sides by t )

x = \(\frac{qy}{t}\)

Answer:

0.0274

Step-by-step explanation:

A z-score measures exactly how many standard deviations above or below the mean a data point is.

The z-score for a normal distribution is given by the formula
\(z = \dfrac{X - \mu}{\sigma}\\where\\\\X = data \;point}\\\mu = mean\\\sigma = standard\; deviation\)

Plugging in values:
X = 125
μ = 100
σ = 13

z = (125-100)/13 = 1.92308

We are asked to find the probability that the score exceeds 125

This is the same as P(z > 1.92308) which is the area to the right of z = 1.92308

P(z > 1.92308) = 0.0274 (from either the tables or calculator)

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

\(WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}\)

Since triangle WXY is Isosceles, \(\angle XYW=45^\circ\)

\(\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ\)

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

\(WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7\)

The value of a in the triangle illustrated is 7.

From the information, the length of WY will be:

WY = ✓4² + ✓4²

WY = ✓32

Therefore, angle WYZ will be:

= 135° - 45°

= 90°

Therefore, the value of a will be calculated thus:

a² = 9² - (✓32)²

a² = 81- 32

a = ✓49

a = 7

In conclusion, the value of a is 7.

Learn more about triangles on:

https://brainly.com/question/17335144

Answer:

3 and 5 show how to convert 18 inches into yards

Answer:

Numer 3 and number 5.

When the population starts out with 8 people and triples, it will take 5 years to reach 1,944.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

Initial population=8

Final population=1944

Rate of increment=3ˣ

1944=8*3ˣ

1944/8=3ˣ

243=3ˣ

3ˣ=3⁵

x=5

It will take 5 years for the population to reach 1,944 when started with with the population of 8 and increase by 3ˣ.

To know more about equation,

https://brainly.com/question/12423372

#SPJ4

The mode is 18.5.

What is mode?

In statistics, there  are most repeated value among the given set of data. Those are called mode. Among the given set of data, mode is the value which has the maximum frequency. Sometimes, it may be possible to have more than one value which has the equal maximum frequency.

Formula for mode for grouped data is given by:

Mode = l + [(f₁-f₀)/(2f₁-f₀-f₂)]×h.-------------------(1)

Where, l = lower class limit of modal class, h = class size, f₁ = frequency of modal class, f₀ = frequency of class preceding to modal class, f₂ = frequency of class succeeding to modal class.

In the given problem l= 15.5

                                   f₀= 8

                                  f₁= 10

                                  f₂= 8

                                  h= 6

Putting all the values in equation (1) we obtain mode

                     mode= 15.5 +{(10-8)/(2×10-8-8)} ×6

                              = 15.5+(2/4)×6

                              = 15.5+ 3

                               = 18.5

Hence, the mode is 18.5.

To know more about modes

https://brainly.com/question/27951780    from the link.

#SPJ9                                

The outlier in the data set is 124.

What is the mean & median in statistics?

Mean: The average of a set of values, calculated by adding up all the values in the set and dividing by the total number of values.

Median: The middle value in a set of values, found by arranging the values in order and identifying the value that falls in the middle of the set.

To find the mean and median with and without the outlier, we can follow these steps:

Mean: Add up all the numbers in the data set.

Divide the sum by the total number of values in the set.

Without outlier:

(11 + 18 + 5 + 20 + 8 + 17) / 6 = 13.16

With outlier:

(11 + 18 + 5 + 20 + 8 + 124 + 17) / 7 = 31.29

Median: Sort the data set in order from smallest to largest.

If the number of values in the set is odd, the median is the middle value.

If the number of values in the set is even, the median is the average of the two middle values.

Without outlier:

5, 8, 11, 17, 18, 20

Median = (11 + 17) / 2 = 14

With outlier:

5, 8, 11, 17, 18, 20, 124

Median = 17

Therefore, the mean and median are affected by the outlier. The mean is higher with the outlier, while the median is not affected by the outlier.

To know more about mean & median visit:

brainly.com/question/2046711

#SPJ1

Answer:

The fish is farther from sea level.

Step-by-step explanation:

13 7/10 is a fraction which consists of 13 wholes and 7/10.

16 1/5 contains 16 wholes and 1/5. To find out our answer we need to make the denominators of both fractions the same. First look for the LCM of both numbers.

The LCM of them both is 10. So what we need to do is change the 1/5 to 2/10.

We got this by multiplying 1 by 2 and 5 by 2.

Now compare them. 13 7/10 < 16 2/10.

Wholes are much bigger numbers so whichever number has more wholes is the farthest. In this case it's 16 1/5.

Hope that helps. x

Step-by-step explanation:

\( = { ({2}^{ - 4}) }^{ - 3} \)

\( = {2}^{ - 4 \times ( - 3)} \)

\( = {2}^{12} \)

\( { ({2}^{ - 4}) }^{ - 3} = {2}^{12} \)

The equation that represent the relationship of the coffees is 3x + 5y = 68.

At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5.

The equation that represent the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totalled $68 is as follows:

where

Therefore, the equation is as follows:

3x + 5y = 68

learn more on equation here:https://brainly.com/question/14177953

#SPJ1

The critical values for the given confidence level \(\(c\)\) of 0.98 and sample size \(\(n\)\) of 20 are -2.878 and 2.878.

To find the critical values for a given confidence level and sample size, we need to determine the critical z-scores. The critical z-scores are the values that divide the distribution into the central region representing the confidence level and the tails representing the rejection regions.

Step 1: The confidence level, denoted by \(\(c\)\), represents the proportion of the distribution that falls within the confidence interval. In this case, the confidence level is 0.98, which corresponds to a 98% confidence interval.

Step 2: The critical z-scores can be found using a standard normal distribution table or a statistical calculator. For a 98% confidence level, we need to find the z-scores that correspond to the upper and lower tails of \(\(1 - c = 0.02\)\) each.

Using a standard normal distribution table or a calculator, the critical z-scores for a 98% confidence level are approximately -2.878 (for the lower tail) and 2.878 (for the upper tail).

Step 3: The critical values -2.878 and 2.878 represent the boundaries of the rejection regions. If the calculated test statistic falls outside these values, it would lead to the rejection of the null hypothesis.

Therefore, for a confidence level of 0.98 and a sample size of 20, the critical values are -2.878 and 2.878.

Learn more about Confidence Level

brainly.com/question/22851322

#SPJ11

Answer:

15 boys

Step-by-step explanation:

Whatever number one side of the ratio is multiplied by, the other side has to be multiplied by that same number. So, we have to find the number that 4 is multiplied by to get 20. We can represent this as an equation, where the unknown number is x:

4x = 20

Divide both sides of the equation by 4 to find the value of x:

x = 5

4 was multiplied by 5 to get 20.

To find the number of boys, multiply 3 by 5:

3 * 5 = 15

If there are 20 girls, there will be 15 boys.

Answer:

12cm long

Step-by-step explanation:

Given data

Volume of cube= 1728cm^3

We know that the expression for the volume is

V=l^3

substitute and solve for l

1728=l^3

cube root both sides

l=∛1728

l=12cm

Hence the edge is 12cm long

In order to have an equation with no solution, the variable x should not appear in the equation and the final sentence must be false.

So, using the variable 'y' to represent the missing number and simplifying the equation, we have:

Since we want the variable x to disappear (this way we will have 0 = 20, which is false), we need the coefficient (10 - y) to be zero:

So the missing number is 10.

Answer:

25x

Step-by-step explanation:

\(-5x\left(-5\right)\)

Frist Multiply the numbers: 5(-5) = -25

\(=-\left(-25\right)x\)

remove the parentheses.

=25x

Answer: 25x

Step-by-step explanation:

Given:

The number of faces =8.

Required:

We need to find the polyhedron with 8 faces.

Explanation:

Recall that the tetrahedron is a polyhedron composed of four triangular faces

The number of faces in tetrahedron =4.

Recall that the octahedron is a polyhedron with 8 faces.

The number of faces in the octahedron= 8.

Recall that the dodecahedron is a polyhedron with 12 faces.

The number of faces in the dodecahedron = 12.

Recall that the icosahedron is a polyhedron with 20 faces.

The number of faces in icosahedron =20.

Final answer:

octahedron

Answer:

12 units

Step-by-step explanation:

area of hexagon = .5*a*p

p = perimeter of hexagon=6s

216√3 = .5*6√3*6s

72= 6s

s=12

Answer:

okay

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the lines are not parallel because they have different slopes

Step-by-step explanation:

Answer:

it is either a or c i hope that helps a little:)

The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

You failed to make the minimum payment by the due date. This is an action that can result in a message that "you've triggered the Penalty APR so that it has now climbed to 28.99%."

A charge APR is a charge that can be applied if you don't pay your bills on time. It may be set up so that future transactions may be subject to a penalty APR that is higher than the card's standard rate.

If the minimum payment was not made by the due date, Penalty APR would be applied.

But if the card also has a penalty APR and you trigger it, you will likely lose that promotional offer. Federal consumer protections that limit penalty APRs don't apply to small-business credit cards. That means issuers can be more punitive, such as applying penalty APRs sooner than 60 days after not making payments.

Therefore,

The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

To learn more about information visit Penalty Triggered problems :

brainly.com/question/8215842

#SPJ4

Answer:

x = 8

Step-by-step explanation:

The perimeter of a body is the sum of all its sides.

  Perimeter of the triangle;

       hypothenuse + opposite + adjacent  = x+6 + x + 3 + x + 9 = 3x + 18

  Perimeter of the rectangle  = x+1 + x + 4 + x + 1 + x + 4 = 4x + 10

Now,

 Since their perimeter is equal;

                           3x + 18 = 4x + 10

                             3x - 4x  = 10 - 18

                               -x  = -8

                               x = 8

Answer:

2x = 7y

Step-by-step explanation:

2 Yogurts = $7

4 Yogurts = $14

6 Yogurts = $21

8 Yogurts = $28

10 Yogurts = $35

Hi there! To answer your question, we'll consider the terms: ordinary fair die, rolled 4 consecutive times, and probability.

An ordinary fair die has 6 sides, each with an equal probability of 1/6. Since you're rolling the die 4 consecutive times and want all different numbers, we can calculate the probability as follows:

For the first roll, any of the 6 numbers can appear, so the probability is 6/6.
For the second roll, you have 5 remaining numbers, so the probability is 5/6.
For the third roll, there are 4 remaining numbers, so the probability is 4/6.
Finally, for the fourth roll, there are 3 remaining numbers, so the probability is 3/6.

Now, multiply the probabilities together to find the overall probability of observing all different numbers:

(6/6) × (5/6) × (4/6) × (3/6) = 1 × 5/6 × 2/3 × 1/2 = 5/36

So, the probability of observing all different numbers in 4 consecutive rolls of an ordinary fair die is 5/36.

Learn more about ordinary fair: https://brainly.com/question/31659110

#SPJ11

Answer:

600 centimeters

Step-by-step explanation:

one meter is 100 centimeters so 6 meters is 600 centimeters :)

1 meter is 100 centimeters so 6 meter is 600 centimeters