5) Find the value of angle v and angle w.

The required formula to calculate exterior angle and an interior angle are  360°/n and (n-2) * 180°/n.

In a two-dimensional plane, a polygon is a closed object formed of line segments rather than curves. Polygon is a word that combines the words poly (which meaning numerous) and gon (means sides). To create a closed figure, a minimum of three line segments must be connected end to end.

The measure of an exterior angle of a regular polygon with n sides is given by 360°/n. The measure of an interior angle of a regular polygon with n sides is given by (n-2) * 180°/n.

So if you provide the number of sides of the polygon, I can give you the measures of the exterior and interior angles rounded to the nearest tenth if necessary.

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Answer

• a) Range: (-∞, –1)

• b) Horizontal asymptote when x ≤ 2: y = –3. Vertical asymptote when x > 2: x= 2. Horizontal asymptote when x > 2: y = –1.

• c) When x decreases, it approaches –3, and when x increases, it approaches –1.

Explanation

• Part A: Graph the piecewise function f (x) and determine the range.

Using a graphing tool we can get the following graph:

As the range is all the y-values included in the function, we can see that in this case, the range is:

• Part B: Determine the asymptotes of f (x). Show all necessary calculations.

We have to get the asymptotes from the part where x ≤ 2 and x > 2.

In x ≤ 2 we do not have a vertical asymptote as it is not a rational function, but we do have a horizontal asymptote, which is y = k when we have the function:

Thus, in our case y = –3.

In x > 2, we do have a vertical and horizontal asymptote. We can get the vertical asymptote by setting the denominator of the function to 0:

If we solve the expression by factoring we get two solutions:

Based on our function we can see that the vertical asymptote is x = 2 when x > 2. Then, the horizontal asymptote can be calculated with the limit:

Thus, our horizontal asymptote is y = –1 when x > 2.

• Part C: Describe the end behavior of f (x).

The end behavior of a function is how the function acts when x increases or decreases. Based on our graph we can see that when x decreases, it approaches –3, and when x increases, it approaches –1.

Answer:

a = -50/51

Step-by-step explanation:

1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0

  1 +   3 +   5 + ...  + 99 +   2a +    4a + ... + 98a + 100a = 0     Eq. 1

99 + 97 + 95 + ... +    1  + 98a + 96a + ... +   4a  +    2a  = 0    Eq. 2

Add Eq. 1 and Eq. 2

100 + 100 + ... + 100 + 102a + 102a + ... 102a = 0

50(100)/2 + 50(102a)/2 = 0

2500 + 2550a = 0

2550a = -2500

a = -2500/2550

a = -250/255

a = -50/51

Answer:

x+x+40=84

2x=84-40

x=44/2

x=22

Answer:

7

Step-by-step explanation:

The highest power of the given polynomial is 7. Therefore, the degree of the given polynomial is 7.

Answer:

The main text should be double-spaced, and each new paragraph should begin with a ½ inch indent. Text should be left-aligned and not “justified” (meaning that the right margin should look ragged). Page numbers can be placed either in the top right or the bottom center of the page – one or the other, not both.

Answer:

17.3

Step-by-step explanation:

square root of 300 is 17.32050808

17.32050808 rounded is 17.3

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

The answer is 132.45

Step-by-step explanation:

I took the quiz:) hope this helps!

Answer:

132.45

Step-by-step explanation:

i got it right :)

Answer:

-57

Step-by-step explanation:

-2+(-47-8)

-2-47-8

-49-8

-57

Answer:-57

Step-by-step explanation:

-2+(-47-8)

Parenthesis first

(-47-8)

-55

-2+-55

-57

Answer:

y = 2x + 6

y = -1/4 x - 3

Step-by-step explanation:

We can read from the graph that the equation that slopes up to the right has y-intercept 6 and slope 2. The equation that slopes down to the right has y-intercept -3 and slope -1/4.

The equations are:

y = 2x + 6

y = -1/4 x - 3

The number of positive factors of 96  which are also multiples of 12 are 4 which are 12,24,48, and 96.

Positive factors of 96 = 1,2,3,4,6,8,12,16,24,32,48 and, 96

Multiples of 12 upto 96 = 12,24,36,48,60,72, 84 and 96

Common numbers between the two are 12,24,48 and 96.

Hence, there are only 4 positive factors of 96 which are also the multiples of 12

Factors

Factors are the numbers that can divide a number exactly. Hence, after division, there is no remainder left.

Multiples

A multiple is a result obtained by multiplying a number by an integer(it shouldn’t be a fraction). The multiples of the whole number are obtained by taking out the product of the counting numbers and that of whole numbers.

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If 10% of all resistance exceeding 10.256 ohms, and 5% have resistance less than 9.671 ohms, then the mean value is 10 ohms and standard deviation of resistance distribution is 0.2 ohms.

To determine mean-value and standard deviation of resistance distribution, we use properties of normal-distribution and given information.

We denote the mean value of resistance distribution as μ and standard deviation as σ.

We know that 10% of all resistors exceed 10.256 ohms, The z-score represents the number of standard deviations away from the mean.

We know that the z-score corresponding to the 10% percentile is approximately 1.28,

Similarly, also given that 5% of resistors have resistance smaller than 9.671 ohms, We also know that the z-score for the 5% percentile is approximately -1.64,

The z-score equation for the 10% percentile : 10.256 = μ + 1.28σ,

The z-score equation for the 5% percentile : 9.671 = μ - 1.64σ,

Now we solve these two equations to find the values of μ and σ.

From equation(1), we rewrite it as : μ = 10.256 - 1.28σ,

Substituting this expression for μ into equation(2), We get :

9.671 = (10.256 - 1.28σ) - 1.64σ

9.671 = 10.256 - 1.28σ - 1.64σ

9.671 = 10.256 - 2.92σ

2.92σ = 10.256 - 9.671

2.92σ = 0.585

σ ≈ 0.2,

Substituting this value of σ into equation(1),

We get,

μ = 10.256 - 1.28σ

μ = 10.256 - 1.28 × 0.2

μ ≈ 10.256 - 0.256

μ ≈ 10,

Therefore, the required mean is 10 ohms and standard-deviation is 0.2 ohms.

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The mean value of the resistance distribution is μ and the standard deviation is σ.

To find the mean and standard deviation of the resistance distribution, we can use the properties of a normal distribution.

Let's denote the mean as μ and the standard deviation as σ.

From the given information, we know that 10% of the resistance values exceed 10.256 ohms, and 5% have resistance smaller than 9.671 ohms.

Using the properties of a normal distribution, we can determine the z-scores corresponding to these percentages.

The z-score represents the number of standard deviations a data point is away from the mean.

For the 10% exceeding 10.256 ohms, the z-score can be calculated as:

z = (x - μ) / σ

where x is the resistance value and z is the z-score.

Using a standard normal distribution table or a calculator, we can find the z-score corresponding to the 10% exceeding value. Let's denote this z-score as z1.

Similarly, for the 5% smaller than 9.671 ohms, we can find the z-score corresponding to this percentage and denote it as z2.

Now, we have two equations:

z1 = (10.256 - μ) / σ

z2 = (9.671 - μ) / σ

We can solve these two equations simultaneously to find the values of μ and σ.

Once we have the values of μ and σ, we can conclude that the mean value of the resistance distribution is μ and the standard deviation is σ.

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Answer:

b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%

c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.

Step-by-step explanation:

To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.

Therefore, we have:

P(z ≥ c) = 0.55

P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45

Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.

So, c = -0.126.

Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.

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Answer:

m<L, m<K, m<J

Step-by-step explanation:

The angle that sees the longest side length has the biggest measurement

so

for listing the angles from smallest to largest

m<L, m<K, m<J

Answer:K J L

Step-by-step explanation:

Answer:

(x-3)^2+(y+4)^2=9

Step-by-step explanation:

The equation of a circle with center at (h,k) and radius r units is found using:

(x-h)^2+(y-k)^2=r^2

The given circle is centered at the (3,-4) and has radius 3 units,The equation of this circle is obtained by substituting the given values.

This gives us:

(x-3)^2+(y-(-4))^2=3^2

We simplify to get:

(x-3)^2+(y+4)^2=9

The format of a circle's equation is:

\(\mapsto\phantom{333}\bf{(x-h)^2+(y-k)^2=r^2}\)

where (h, k) is the circle's center, and r is the radius.

Sticking in the data, we get:

\(\mapsto\phantom{333}\bf{(x-3)^2+(y-(-4)^2=3^2}\)

Simplify:

\(\mapsto\phantom{333}\bf{(x-3)^2+(y+4)^2=9}\)

Hence, this is the circle's equation.

Answer:84/5

Step-by-step explanation:dd

The probability that the person uses exactly one of the facilities = 95/130 .

Probability is the branch of Mathematics which helps to determine the likeliness of an event to happen.

The data is given and the probability that the person uses exactly one of the facilities is asked

73 people use the gym. P(G)

62 people use the swimming pool. P (S)

58 people use the track. P (T)

22 people use the gym and the pool. P (G ∩ P)

29 people use the pool and the track. P (P ∩ T)

25 people use the gym and the track. P (G ∩ T)

11 people use all three facilities. P (P∩G∩T)

P (PUGUT) = P(G) + P (S) + P (T) - P (G ∩ P) - P (P ∩ T) - P (G ∩ T) - 2 P (P∩G∩T)

73 + 62 + 58 -22-29-25 -11-11 = 95

The probability that the person uses exactly one of the facilities = 95/130 .

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The answer to the given question is true. A chart where the data is arranged in vertical columns is called Column Chart, and this chart is useful for showing data changes over time or illustrating comparisons among items.

What is column chart?

Column chart is a type of chart that compares different object levels over time using a vertical format. It is a chart in which the data is arranged in columns and this is useful for showing data changes over a period of time or for illustrating comparisons among items.

Data that is arranged in columns or rows on a worksheet can be plotted in a column chart. In column charts, categories are typically organized along the horizontal axis and values along the vertical axis. Column charts are useful to show how data changes over time or to show comparisons among items.

Column charts are not useful when there are a lot of categories. Catagories organized along the x-axis, while numbers or numerical values ligned in the y-axis.

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Hello!!

(4c+3)(3c−3)

=(4c+3)(3c+−3)

=(4c)(3c)+(4c)(−3)+(3)(3c)+(3)(−3)

=12c2−12c+9c−9

=12c2−3c−9

Answer^

Hope this helps ((brainliest!!!))

Answer: 3

Step-by-step explanation:

We can solve this problem by recognizing that z is the geometric mean of 9 and 9+4. This property is outlined in the following formula:

\(\frac{hypotenuse}{leg}=\frac{leg}{part}\)

where hypotenuse is the longest side of the triangle, leg is the side of the triangle we are calculating for, and part is the part of the hypotenuse on the side of the leg.

Here, the hypotenuse is 13, or 4 + 9. The leg is z, as it is the side of the triangle we are trying to find. Finally, the part is 9. It is the part of the hypotenuse that is on the side of the leg.

Let's plug in these values:

\(\frac{13}{z}=\frac{z}{9}\\117=z^2\\z=\sqrt{117}\)

117 is the product of 9 and 13. Since 9 is a perfect square, we can take it out from the square root.

\(z=\sqrt{9*13}\\z=\sqrt{9}*\sqrt{13}\\z=3\sqrt{13}\)

The "?" must be a 3.

The probability that one of the scores in the sample is less than 1484 is 0.2437 .

a)Given that mean u = 1403

standard deviation σ = 200

sample size n = 32

P(x>1484) = P(X-u/σ > 1484-1403/200)

                = P (z > 0.405)

P(x>1484) = 0.2437 .

hence the probability that one score is greater than 1484 is 0.405 .

b) Now we have to find the average of the scores of 48 samples.

P(x>1484)

= P(x-μ/ σ/√n> 1484-1403 /200/√48)

= P(z>2.805.)

Now we will use the normal distribution table to calculate the p value to be 0.002516.

p-value = 0.0025

Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.

They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.

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The equation 6x + 7 = 2(3x + 5) + 9 has no solution.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Let's solve the equation for variable x.

A variable is a number represented with letter in an equation. Therefore,

6x + 7 = 2(3x + 5) + 9

6x + 7  = 6x + 10 + 9

6x + 7 = 6x + 19

6x - 6x = 19 - 7

0x = 12

Therefore, the equation cannot be solved.

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The three-period weighted moving average for july is 145.4.

A weighted moving average technique is one of several methods for forecasting a given month's value or attribute. Other techniques for forecasting from historical data include the evenly weighted moving average method, a regression analysis method, and so on.

Now, according to the question;

The weighted moving average strategy forecast for month of July is given by:

= (Weight for May * Sales for May) + (Weight for April * Sales for April) + (Weight for June * Sales for June)

= (0.5 * 148) + (0.3 * 142) + (0.2* 144)

= 145.4

Therefore, the three-period weighted moving average for july is 145.4.

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The complete question is -

13. Given the following historical data and weights of .5, .3, and .2, what is the three-period weighted moving average forecast for period 5?

Period Value

1 - 138 (march)

2 - 142 (april)

3 - 148 (may)

4 - 144 (june)