Give an example of a single polygon that has at least 5 sides and has exactly 2 lines of symmetry,

ANSWERS

• Mean: 67.025

• Mode: 67

EXPLANATION

The mean is the sum of all the data, divided by the amount of data,

In this case, the amount of data is 80,

Hence, the mean of this data set is 67.025.

The mode is the value or values in the data set that occurs most frequently. It is easier to find if we order the data set,

The value 67 occurs 9 times, while the second most frequent value is 66, which occurs 7 times.

Hence, the mode of this data set is 67.

Answer:

(2,1)

Step-by-step explanation:

since the equations are y=1 and x=2, the answer is (2,1)

The required simplified solution of the given expression is (√2 + √5).

Given that, to simplify the expression √3(√6+√15).

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= √3(√6+√15)
= √3×√6 + √3 ×√15
= √3×√3×2 + √3 ×√3×5
= √3×√3(√2 + √5)
= 3(√2 + √5)

Thus, the required simplified solution of the given expression is (√2 + √5).

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Assuming the angle made by a vector refers to the angle it makes with the positive horizontal axis, take the dot product of u with the vector (1, 0), and recall that

a • b = ||a|| ||b|| cos(θ)

where θ is the angle made by the vectors a and b. Then

u • (1, 0) = ||u|| ||(1, 0)|| cos(θ)

We have

u • (1, 0) = 5×1 + 8×0 = 5

||u|| = √(5² + 8²) = √89

||(1, 0)|| = √(1² + 0²) = √1 = 1

so that

5 = √89 cos(θ)

cos(θ) = 5 / √89

θ = arccos(5 / √89) ≈ 57.99°

Check the picture below.

Step-by-step explanation:

Finding b

If we use the given slope and use one of the points to write the equation in point-slope form (y - y₁) = m(x - x₁)), we can rearrange it to find the y-intercept:

Using (4,4)  

                                ⇒  y - 4 =  - 0.5 (x - 4)

                                     y - 4 = - 0.5 x + 2

                                          y = -0.5 x + 6

Calculating 'n' and 'p'

We can find n and p by plugging the points into the newly found equation   y = -0.5 x + 6.

For n using (7, n)

             since  y = -0.5 x + 6

                        n = -0.5 (7) + 6

For p using (3,p)

               since y = -0.5 x + 6

                         p = - 0.5 (3) + 6

                         p = - 1.5 + 6

Checking the answer

We can check the answer we got in two ways:

         Using the points (4, 4) and (7, n) as (x₁, y₁) & (x₂, y₂)   respectively

         The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)  

                               - 0.5  =  (n - 4) ÷ (7 - 4)

                               - 0.5 =  ⁿ⁻⁴/₃          [multiply both sides by 3]

                                - 1.5 = n - 4           [add four to both sides]

                                    n = 2.5     [this matches the value of n we found]

Answer:

3 Batteries will be left

Step-by-step explanation:

1,311/6=218.5

218 rooms get batteries

218*6=1,308

1,311-1,308=3

Answer:

x^2 -4x -21

Step-by-step explanation:

Here, we want to write a quadratic polynomial

We have the sum as -4

Let us have x as the variable

so the sum of the variables is -4x

while the product is -21 x^2

Two factors of 21 that can work here is -7x and 3x

So we have

x^2 - 7x + 3x -21

= x^2 -4x -21

Answer:

20/1

Step-by-step explanation:

2000 divided by 100 = 20

100 divided by 100 = 1

Answer:

B,A,CB,AB,CD

Step-by-step explanation:

Answer:

B,   A,   CB,   AB,  CD

Step-by-step explanation:

Got it right on edge

Answer:

9.5

Step-by-step explanation:

9.5x9.5= 90.25 which is the closest you can get without going into further decimals

Using Heron's formula, the area of the porch is 294 squared feet

To calculate the area of the porch, we need to use Heron's formula which is given as;

Heron's formula is a mathematical formula used to calculate the area of a triangle when the lengths of all three sides are known. It is named after the ancient Greek mathematician Heron of Alexandria. The formula is:

Area = sqrt(s(s-a)(s-b)(s-c)),

where s is the semi-perimeter of the triangle (s = (a+b+c)/2) and a, b, and c are the lengths of the three sides.

Substituting the values into the formula;

s = (21 + 28 + 35) / 2

s = 84 / 2

s = 42

Using the value of s

A = √42(42 - 21)(42 - 28)(42 - 35)

A= 294

The area is 294 ft²

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Answer: 84 square feet

Step-by-step explanation:

width = x

perimeter = x + x + 12 + 12 = 38

so 2x + 24 = 38....so 2x = 14  so x = 7

Area = length x width = 12 x 7 = 84 square feet

a) L = 1.75

b) L (1.75) is an underestimate of the integral of f(x) = (x - 1)² on the interval (1, 3).

First, let's clarify the terms and understand the question. We are given the function f(x) = (x - 1)² on the interval (1, 3). We are asked to compute L, which is the Left Endpoint Approximation (LA) of the integral using 4 rectangles. Lastly, we need to determine if this approximation is an overestimate or underestimate.

(a) Compute L (Left Endpoint Approximation with 4 rectangles)

Step 1: Divide the interval into equal parts
The interval is (1, 3), and we are using 4 rectangles. The width of each rectangle, Δx, is (3 - 1) / 4 = 0.5.

Step 2: Calculate the left endpoints of each rectangle
The left endpoints are: x₀ = 1, x₁ = 1.5, x₂ = 2, and x₃ = 2.5.

Step 3: Compute the function values at the left endpoints
f(x₀) = (1 - 1)² = 0
f(x₁) = (1.5 - 1)² = 0.25
f(x₂) = (2 - 1)² = 1
f(x₃) = (2.5 - 1)² = 2.25

Step 4: Calculate the Left Endpoint Approximation, L
L = Δx * (f(x₀) + f(x₁) + f(x₂) + f(x₃))
L = 0.5 * (0 + 0.25 + 1 + 2.25)
L = 0.5 * 3.5
L = 1.75

(b) Determine if L is an overestimate or underestimate
Since the function f(x) = (x - 1)² is a parabola that opens upwards, the graph is concave up. When a function is concave up on an interval, the Left Endpoint Approximation will result in an underestimate. This is because the rectangles do not fully capture the curvature of the graph above each rectangle.

So, L (1.75) is an underestimate of the integral of f(x) = (x - 1)² on the interval (1, 3).

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Therefore, the answer to the above median problem is a) z-score = 1.50, b) age 34 has SD=1.5, and C. option B is correct.

The median value is the number that exactly lies in the middle of a dataset that has been arranged. The gap between the minimum and maximum 50% of the data is a maximum likelihood measure or average. Depending on whether you have an odd or possibly even amount of data points, different formulas are used to calculate the median and mode.

Here,

The average age is 36, it is stated.

2.5 standard deviations

a) The z-score is (34 - 28.3)/3.8 = 1.50.

b) Analysis

A 34-year-old is 1.50 standard deviations well above average in age.

c) The right answer is B.

Consequently, the provided issue of median's solution yields

Option B is right since age 34 has an SD of 1.5 and a C, and z-score is 1.50.

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The force on one of the ends due to hydrostatic pressure is 332.8lb.

How is a hydrostatic pressure produced?

The force on one of the ends due to hydrostatic pressure is 332.8lb

Data;

Density = 62.4 lb/ft^3

length = 4ft

radius = 2ft

Force Due to Pressure

The force due to hydrostatic pressure can be calculated as

From the attached diagram

F = Pressure * area

density = 62.4 lb/ft³

depth of water = 2- y

pressure  = ( 2- y ) ( 62.4)

                = 124.8 - 62.4

We can proceed as

x² + ( y - 2)² = 2²

x² = 4 - ( y - 2)²

x = ± √4y - y²

this implies that

2x = 2 √4y - y²

The area is given as

δA = ( 2x) * δy

δA = 2√4y - y² δy

The force would be given by

δF = ( 2- y ) ( 62.4) (2 √ 4y - y²)δy

The total force is given by

F = \(\int\limits^2_0 {( 2 - y)} \, (62.4) ( 2\sqrt{4y - y^{2} } dy\)

F = 124.8 \(\int\limits^2_0 {( 2-y)} \,( \sqrt{4y - y^{2} } dy\)

F = 124.8 \([ -\frac{1}{3} y( y- 4 ) ( \sqrt{4y - y^{2} }\)

F = 124.8 \([ -\frac{1}{3} (2) ( 2-4) \sqrt{4(2) - 2^{2} }\)

F = 332.8lb

The force on one of the ends due to hydrostatic pressure is 332.8lb

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a) The hypotheses for this test are as follows: Null hypothesis (H0): The mean weight loss is the same for low-carbohydrate and low-fat diets. Alternative hypothesis (Ha): The mean weight loss differs between low-carbohydrate and low-fat diets.

b) The test statistic, t is 1.0968.

c) There are 76 degrees of freedom.

d) Since the calculated t-value (1.0968) is smaller than the critical t-value (1.292), we fail to reject the null hypothesis.

b) To compute the test statistic, t, we can use the formula:

t = (x1 - x2) / √((s1²/n1) + (s2²/n2))

Where:

x1 = sample mean weight loss for the low-carbohydrate diet (4.7 kg)

x2 = sample mean weight loss for the low-fat diet (2.6 kg)

s1 = sample standard deviation for the low-carbohydrate diet (7.16 kg)

s2 = sample standard deviation for the low-fat diet (5.90 kg)

n1 = sample size for the low-carbohydrate diet (77)

n2 = sample size for the low-fat diet (79)

Plugging in the values, we get:

t = (4.7 - 2.6) / √((7.16²/77) + (5.90²/79))

t = 1.1 / √(0.5823 + 0.4248)

t = 1.1 / √1.0071

t ≈ 1.1 / 1.0035

t ≈ 1.0968

c) The degrees of freedom can be calculated using the simple method, which is the smaller sample size minus 1:

df = min(n1, n2) - 1

df = 77 - 1

df = 76

d) To determine whether to reject the null hypothesis or not, we compare the calculated t-value to the critical t-value at α = 0.1 (90% confidence level) with the given degrees of freedom. Consulting a t-distribution table or using statistical software, the critical t-value for α = 0.1 and df = 76 is approximately 1.292.

This means that there is not enough evidence to conclude that the mean weight loss differs significantly between the low-carbohydrate and low-fat diets based on this sample data.

Based on the sample data and a significance level of α = 0.1, there is insufficient evidence to conclude that the mean weight loss differs between low-carbohydrate and low-fat diets. The study included a sample of 77 subjects on a low-carbohydrate diet and 79 subjects on a low-fat diet for six months.

The sample mean weight loss for the low-carbohydrate diet was 4.7 kilograms, with a sample standard deviation of 7.16 kilograms. The sample mean weight loss for the low-fat diet was 2.6 kilograms, with a standard deviation of 5.90 kilograms.

Using a t-test with the appropriate formulas, the calculated test statistic (t) was 1.0968. The degrees of freedom were determined to be 76. Comparing the calculated t-value to the critical t-value at α = 0.1, which was approximately 1.292, it was found that the calculated t-value was smaller.

Therefore, the null hypothesis that the mean weight loss is the same for both diets was not rejected.

In conclusion, based on the given sample data, there is no significant difference in mean weight loss between the low-carbohydrate and low-fat diets.

However, it's important to note that this conclusion is specific to the sample studied and may not necessarily generalize to the entire population. Further research with larger sample sizes and diverse populations is recommended to provide more robust conclusions.

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There is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo.

Therefore, the correct answer is A.

To construct a confidence interval for the difference in proportions, we can use the following formula:

CI = (p1 - p2) ± Z ×√[(p1×(1 - p1) / n1) + (p2 × (1 - p2) / n2)]

Where:

p1 and p2 are the sample proportions for males and females, respectively.

n1 and n2 are the sample sizes for males and females, respectively.

Z is the critical value corresponding to the desired confidence level.

From the given information, we have:

p1 = 190/1233

n1 = 1233

p2 = 128/1033

n2 = 1033

Confidence level = 99% (which corresponds to a critical value of Z)

Calculating the confidence interval:

CI = (190/1233 - 128/1033) ± Z× √[(190/1233× (1 - 190/1233) / 1233) + (128/1033 ×(1 - 128/1033) / 1033)]

Now, let's find the critical value Z for a 99% confidence level. Since the sample sizes are large, we can use the standard normal distribution. The critical value for a 99% confidence level is approximately 2.576.

CI = (0.154 - 0.124) ± 2.576× √[(0.154× (1 - 0.154) / 1233) + (0.124 × (1 - 0.124) / 1033)]

CI = 0.030 ± 2.576×√[0.000118 + 0.000124]

CI = 0.030 ± 2.576×√(0.000242)

CI = 0.030 ± 2.576×0.015556

CI = 0.030 ± 0.040085

CI ≈ (-0.010, 0.070)

The lower bound of the 99% confidence interval is approximately -0.010, and the upper bound is approximately 0.070.

Interpreting the interval, we can say:

A. There is 99% confidence that the difference of the proportions is in the interval. Conclude that there is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo.

Therefore, the correct answer is A.

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Answer:

94 pizzas will be sold

Step-by-step explanation:

We have to use the equation and replace 15 with x.

x=15

y=3.4x + 43

y=3.4(15) + 43

y=51 + 43

y=94

(15,94)

There will be 94 pizzas sold nightly if 15 coupons were issued.

Answer: To answer this question, substitute the number of tickets sold for the x value.

y = 3.4(15) + 43

Solve the equation by first multiplying the 3.4 and the 15.

3.4 x 15 = 51

This leaves your equation looking like this:

y = 51 + 43

The final step is to add he two integers together.

51 + 43 = 94

So the final answer is y = 94

Therefore, there will be 94 pizzas sold nightly if 15 coupons were issued.

Hope this helps... Plz mark me brainliest if i am correct... Stay safe and have a great weekend!!! :D

Answer:

true

Step-by-step explanation:

sorry if i am wrong

The probability of being dealt a card that helps improve your hand is approximately 0.7083 or 70.83%.

To determine the probability of being dealt a card that helps you, we need to consider two factors: the number of favorable cards remaining in the deck and the total number of cards remaining.

At the beginning of the game, a standard deck of 52 cards is used. After the initial deal, you and the dealer have each received two cards, so there are 52 - 4 = 48 cards remaining in the deck.

To determine the favorable cards that can improve your hand, we need to consider the possible outcomes. In this case, you have a four and a jack, and you're looking to improve your hand. Let's analyze the possibilities:

To improve your hand to a better total without exceeding 21, you would want to draw a card between 5 and 9, inclusive. In this case, you know that the dealer's one visible card is a five, so there are three more fives left in the deck. Additionally, there are four cards each of 6, 7, 8, and 9, making a total of 16 favorable cards for improving your hand.

Lastly, if you're hoping to improve your hand to a total of 20, you would need an ace, 2, 3, or 6. As we assumed earlier, there are three aces remaining, and there are four cards each of 2, 3, and 6. So there are a total of 3 + 4 + 4 + 4 = 15 favorable cards for achieving a total of 20.

In total, the number of favorable cards for improving your hand is 3 (blackjack) + 16 (improve to a better total) + 15 (improve to a total of 20) = 34.

To calculate the probability, we divide the number of favorable cards by the total number of cards remaining in the deck:

Probability = Number of Favorable Cards / Total Number of Cards Remaining

Probability = 34 / 48

Simplifying the fraction, the probability is 17 / 24 or approximately 0.7083 (rounded to four decimal places).

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Answer:

2/15

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

Answer:2/15

Step-by-step explanation:

In the square pyramid below, line segment AB is parallel to line segment CD.

In Mathematics, a line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points. Additionally, a line segment typically has a fixed length.

In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

Based on the square pyramid shown in the image above, we can reasonably infer and logically deduce that both line segment AB is and line segment CD forms parallel lines because they are equal distance apart and can never meet.

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Answer:

153.098

153.408

When we look at these numbers, we want to see which one has the greatest digit.

Shown below, I'm going to compare both numbers and start from the hundreds place and gradually go further into the other digits until we've seen which number is the greatest.

153.098:

1

153.408:

1

153.098:

15

153.408:

15

153.098:

153

153.408

153

153.098:

153.0

153.408

153.4

Now, we can automatically know that 153.408 is the greatest because the 4 in the tenths place is bigger than 0 in the tenths place in the other number.

So 153.408 > 153.098, D is your answer.

An unreasonable conclusion about the wait times to ride the roller coaster is : On one day, the lines were shorter than usual.

Tracy is said to make a line plot of average wait times to ride the rollercoaster for days in one week.

so the line plot is expected to have wait times for each day of the week plotted and we re told to examine a group of options to pick a conclusion that is unreasonable about the wait times to ride a roller coaster based on this line plot of average wait times per day for one week

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Complete question

Tracy manages an amusement park. She records the average amount of time in minutes that people wait in line to ride the roller coaster each day during one week. She makes a line plot to show the wait times.

A.On one day, the lines were shorter than usual.

B. Riders can expect to wait about 10 minutes to ride the roller coaster.

C. There was an outlier to the average wait times.

D.There is no way to make a reasonable prediction of the wait time.

Answer: 0.75 = 3/4

Step-by-step explanation: To solve, flip the second fraction and multiply the numerators and denominators together and simplify.

Answer:

Step-by-step explanation:

\(\frac{1}{2}\div \frac{2}{3}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\\\=\frac{1}{2}\times \frac{3}{2}\\\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}=\frac{1\times \:3}{2\times \:2}\\\\=\frac{3}{4}\)

The net amount of imports is RM 175 million of GDP of Country A. Option  C is the correct answer.

The total amount of money spent during a specific time period by firms, consumers, and the government may be used to compute GDP.

Calculation:

GDP = personal consumption + gross investment + govt consumption + net exports + imports

Therefore, Import = 175

Here the total amount of imports is RM 175 million. Therefore, Option  C is the correct answer.

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The complete question is, "The information below contains information on Country A.

                                                  RM(in millions)

Gross Domestic Product              1250

Consumer Spending                    500

Investment Spending                   350

Govt Spending                              350

Export                                             225

What is the amount of imports?

A. RM 800 million

B. RM 135 million

C. RM 175 million

D. RM 575 million"