The exterior angles of an octagon are marked
on the diagram below.
What is the sum of these angles?

Answer:

x less than or equal to 29

Step-by-step explanation:

   This is an inequality I believe, therefore we start out with   either a greater than less than or equal to sign, here he doesn't want to spend more than but he can spend $500 at most, so  less than or equal to $500 you can also show it as \(\geq\)$500. So now that we have that lets go to the other side of the equation. If outright says he spends $150 at the start so now we have \($150 \geq 500\), lets keep doing. is cost $12 per person, so lets use X to represent a person, now we have \(150 + $12x \geq $500\). Alright so now we have to see how many people or friends he can invite. So we get this by subtracting 150 from both sides. We do this because 150 is how much he has to spend, so we can subtract that from his spending limit, but we also remove this from the other side to keep the inequality balanced, now we have \(12x \geq 350\). We can now divide both sides by 12 because each person costs $12, so dividing that from the spending limit will give you the amount of people he can invite with the money. The number you would get would be 29.1 with a repeating 6, but you can't invite 29.1 people, you cant get a tenth of a person to come over, but he also can't get 30 because it would be above the limit, so he can only invite 29 people also shown by \(x \geq 29\)

The value of the missing data point is 10. Option C

The data set has 8 data points, and the median is given as 12. The median is the middle value when the data points are arranged in ascending or descending order.

Let's arrange the data set in ascending order:

6, 8, ?, 8, 14, 15, 16, 18

Since the median is 12, it should be the fourth data point when arranged in ascending order. Therefore, the missing data point must be the fourth value in the sorted data set.

From the given options, the only whole number that could fit as the fourth value in the data set is 10.

Thus, the value of the missing data point is C. 10.

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The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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The appropriate hypothesis test results that it reject the null hypothesis and accept the alternative hypothesis. The z score of -7.26 is in the rejection area

How to calculate hypothesis test?

The general form to calculate the hypothesis is by using the sample data and assuming the null hypothesis is true, calculate the value of the test statistic.

Here the hypothesis test for the population mean μ, we use the t-statistic t = x  − (μ*s) / n

where the t-distribution with n - 1 degrees of freedom.

Here we have given that suppose that a particular NFL team claims that the mean weight of their defensive players is 315 pounds.

And we need to find  appropriate hypothesis test and make conclusions at significance level 0.08 and here we have to assume weights are normally distributed.

While we looking into the given question, we have identified that weights are normally distributed.

Then the value of the given data are written as

data = 315 ,

n= 15 ,

Mean = 300,

standard deviation = 8,

Significance level= 0.08

Then the hypothesis is written as,

The critical value (cutoff point) is 1.761.

Where in left-tail hypothesis testing, any z score less than the critical value will be rejected. Since -7.26 is less than 1.761, we reject the null hypothesis. We accept the alternative hypothesis

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Answer:

121/16

Step-by-step explanation:

No, the inference is not valid because it excluded those who were not online and so did not see the poll.

To improve the poll, the news show could have conducted it in a more representative manner by surveying a larger sample of people from a variety of backgrounds

The poll's results may have been influenced by various factors, including but not limited to the order in which the comedians were presented, the demographics of the respondents, and the fact that it was conducted online, possibly excluding those without internet access. Overall, the poll's representative accuracy is questionable.

To enhance the accuracy of the survey, the broadcast could have implemented a more inclusive method by polling a wider range of individuals from diverse backgrounds. An alternate method for conducting the poll would have been by personal or telephonic means, enabling individuals without internet connectivity to participate.

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Answer:

34.78%

Step-by-step explanation:

There is 4 trucks and 4 used cars= 8 total vehicles he'll choose. There is a total of 23 vehicles.

8/23= 0.3478... You move the decimal over two places, which gives you 34.78%

Answer: F

Step-by-step explanation:

Answer: correct answer is A

Step-by-step explanation:

Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.

Answer:

f(x)

Step-by-step explanation:

Because f(x) = 4x + 5

Answer:

f(x)

Step-by-step explanation:

g(x) intercept Is shown to be 2

f(x) if u sub 0 into x to find the y intercept gives you 5

h(x) I you sub 0 into the equation in place of x to find the y intercept it gives you -1.84

and if you look at all ghe y intersect values f(x) is the greatest

Answer:

19

Step-by-step explanation:

Don't swear to god jeez

Answer:

19

Step-by-step explanation:

Unless you're referring to the vine, then 9+10= 19.

If you are referring to the vine of 9+10, then its 21

You have the following function:

f(x) = 2(1/5)ˣ

IN order to find the y-intercept of the previos function, make x = 0:

f(0) = 2(1/5)⁰

f(0) = 2(1)

f(0) = 2

Hence, the y-intercept of f(x) is f(0) = 2

answer: c i believe   hope it helps!!! :D

A

0.0036

Bsshsjsjsjsnsn

Answer:

A 0.0036

Is correct

ED2021

The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.

To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.

A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.

To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.

If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.

The northerly component can be found using the sine of the angle:

Northerly Component = Wind Speed * sin(Angle)

Northerly Component = 15 m/s * sin(45°)

Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:

Northerly Component ≈ 15 m/s * 0.707

Northerly Component ≈ 10.605 m/s

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Answer:

9-2x

Step-by-step explanation:

the reason for 9-2x is that the difference is subtraction and twice is 2, so that means the number is x because we don't know the number.

Answer:

9 - 2a

Step-by-step explanation:

Agebraically is:

9 - 2a

Answer:

a) 5+(-1)

b) 5-1

c) 4 is the value

The probability of rolling 1 (R), 1 (G), 1 (B) is 1/216, odd (R), even (G), any number (B) is 1/36, 6 or 5 (R), 4 or 3 (G), 1, 2 or 3 (B) is 1/18, no fives at all is 125/216, and a different number on each dice is 1/6.

a. The probability of rolling 1 (R), 1 (G), 1 (B) is 1/216. This is because there are 6 faces on each die, and 6 x 6 x 6 = 216 total possible outcomes. Since there is only one way to roll the dice and get 1 (R), 1 (G), 1 (B), the probability of this outcome is 1/216.

b. The probability of rolling odd (R), even (G), any number (B) is (3/6) x (3/6) x (1/6) = 1/36. This is because there are 3 odd numbers on the red die, 3 even numbers on the green die, and 6 numbers on the blue die, thus making the total number of outcomes (3/6) x (3/6) x (6/6) = 1/36.

c. The probability of rolling 6 or 5 (R), 4 or 3 (G), 1, 2 or 3 (B) is (2/6) x (2/6) x (3/6) = 1/18. This is because there are 2 faces with a 6 or 5 on the red die, 2 faces with a 4 or 3 on the green die, and 3 faces with a 1, 2, or 3 on the blue die, thus making the total number of outcomes (2/6) x (2/6) x (3/6) = 1/18.

d. The probability of rolling no fives at all is (5/6) x (5/6) x (5/6) = 125/216. This is because there are 5 faces on each die that do not have a 5, thus making the total number of outcomes (5/6) x (5/6) x (5/6) = 125/216.

e. The probability of rolling a different number on each dice is (6/6) x (5/6) x (4/6) = 1/6. This is because there are 6 different numbers on the red die, 5 different numbers on the green die, and 4 different numbers on the blue die, thus making the total number of outcomes (6/6) x (5/6) x (4/6) = 1/6.

In conclusion, the probability of rolling 1 (R), 1 (G), 1 (B) is 1/216, odd (R), even (G), any number (B) is 1/36, 6 or 5 (R), 4 or 3 (G), 1, 2 or 3 (B) is 1/18, no fives at all is 125/216, and a different number on each dice is 1/6.

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Step-by-step explanation:

Divide 12 by 3 to determine Catherine's age.

\(12 \div 3 = 4\)

Catherine is 4 years old when Cisca is 12 years old.

Let's identify when Cisca will be twice as old as Catherine by representing the ages per future years.

Year 1: 13, 5

Year 2: 14, 6

Year 3: 15, 7

Year 4: 16, 8

Year 5: 17, 9

Year 6: 18, 10

In 4 years, Cisca will be twice as old as Catherine.

Her age is 16.

She would be 4 years

Age of Catherine = X

Age of Cisca = 12yrs = 3x

Therefore X = 12/3= 4 years.

Actual age of Catherine = 4 years.

Twice ( 2x) age of Catherine = 2×4= 8

Therefore, she will be 4 years to be twice as old as Catherine

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answer: 1.28

Step-by-step explanation:

Based on the given conditions, formulate: 73 ÷ 57

Evaluate the equation/ expression : 1.2807

Round the answer : 1.28

Answer 1.28

Answer:

1:0.78

n=0.78

Step-by-step explanation:

73 banana :57 pears

73/73:57/73

1:0.78

Answer:

11/2 or 5 1/2

Step-by-step explanation:

i got it right

Answer:

c) 13%

Step-by-step explanation:

Given information,

→ The cost of a jacket increased from the price $75.00 to $84.75.

Now we have to,

→ find the % increase of cost of jacket.

Let's solve the problem,

→ ((84.75 - 75)/75) × 100

→ (9.75/75) × 100

→ 0.13 × 100

→ 13%

Hence, the answer is 13%.

Answer: Jarrod has earned more this year

Step-by-step explanation:

 You can follow the picture I have uploaded if you need help with the explanation :)

Answer:

$666,666

Step-by-step explanation:

this is what i actually got when i did the math so i hope it helps

Answer:

use a cal and divide 2 mil by 3

Step-by-step explanation:

divide 3 by 2 mill

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Answer:

30

Step-by-step explanation:

Audrey reads 15 pages a day, and she read 75 pages total. If we divide 75/15, this should show us the amount of days she read. 75/15 is 5, so Audrey(and Lauren) read 5 days

Lauren reads 6 pages a day, and since she read for 5 days, 6x5 is the amount of pages she read in total. 6x5=30, so the answer is 30

Answer: Your answer is 55% = 11 / 20

Hope this helps!

Answer:

11/20

Step-by-step explanation:

Step 1: We represent the given number as a fraction by dividing it by 100.

Hence, we write it as 55/100.

Step 2: Simplify the fraction by using common factors of numerator and denominator.

Now, 55% can be written as 55 / 100.

On simplifying the above fraction:

55 / 100 = 11 / 20 [Dividing numerator and denominator by their greatest common factor, that is 5.]

Therefore, 55% can be represented as 11/20 in fractional form.

[RevyBreeze]

Humanity would achieve a life expectancy of 110 years in approximately 60 years.

To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.

In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.

110 years - 80 years = 30 years

Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:

30 years / 5.3 years per decade ≈ 5.66 decades

Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.

To calculate the number of years, we multiply the number of decades by 10:

6 decades * 10 years per decade = 60 years

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Answer:

The last one is correct