Find missing angle !.

Answer:

0.80

Step-by-step explanation:

I did the math 5 times

Answer:

10

I hope this it right

sorry if it is wrong

Answer:

72 +6+2 equal80

Step-by-step explanation:

have to pluse all

Answer:

C

Step-by-step explanation:

A

25 - x  > 8 ( substitute x = 18 )

25 - 18 > 8

7 > 8 ← False statement

B

0.5x < 7 ( substitute x = 18 )

0.5 × 18 < 7

9 < 7 ← False statement

C

\(\frac{x}{6}\) > 2 ( substitute x = 18 )

\(\frac{18}{6}\) > 2

3 > 2 ← True statement

D

\(\frac{x}{4}\) < 3 ( substitute x = 18 )

\(\frac{18}{4}\) < 3

4.5 < 3 ← False statement

The only inequality which is true is C

The inequality x/6 >2 is true for the solution x equals to 18. Therefore, the correct answer is option C.

Given that, x=18.

A) 25-x>8

Substitute x=18 in the given inequality, we get

25-18>8

7>8

Which is not true.

B) 0.5x<7

Substitute x=18 in the given inequality, we get

0.5×18<7

9<7

Which is not true.

C) x/6 >2

Substitute x=18 in the given inequality, we get

18/6 >2

3>2

Which is true.

D) x/4 <3

Substitute x=18 in the given inequality, we get

18/4 <3

4.5<3

Which is not true.

Therefore, the correct answer is option C.

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Answer:

$47.06

Step-by-step explanation:

$12.64*3=$37.92 $37.92+$12.64=$50.56 $50.56-$3.50=$47.06

As per the given box plot, on 6th day island is more likely to have a wind speed close to its median.

The term box plot in math referred as the method of  visually show the distribution of numerical data and skewness through displaying the data quartiles and averages.

Here we have given the figure attached that contains the box plots show the average wind speeds, in miles per hour, for two different islands Here the Country A is placed on the top of the line where as Country B on the bottom of the line.

While we looking into the box plot we have identified that the median of Country A is 4 and the center of the box is 5

And the the median of Country B is 6 and the center of the box is 6.5.

Through this we have identified that the resulting day is 6 day.

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Answer:

8/50

5/50

10/50

38/50

45/50

Step-by-step explanation:

Answer:

-8n² - 8n + 3

Step-by-step explanation:

Combine like terms (terms with the same variables, as well as the same amount of that variable).

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

First, distribute the negative sign to all terms within the second parenthesis:

4n⁴ - 8n + 4 - 8n² - 4n⁴ - 1

Combine like terms:

(4n⁴ - 4n⁴) - 8n² - 8n + (4 - 1)

-8n² - 8n + 3

-8n² - 8n + 3 is your answer.

Answer:

Option 3

Step-by-step explanation:

Answer:

6.6 ft

Step-by-step explanation:

The area of a triangle is given by the formula: \(A=\frac{1}{2}bh\).

In this case, the base b equals the height h.

\(\therefore A=\frac{1}{2}h^2 \rightarrow h=\sqrt{2A}\)

Given: A = 22 ft²

\(\therefore h=\sqrt{2A} = \sqrt{2(22 \text{ ft}^2)} = \sqrt{44}\text{ ft} \approx 6.6 \text{ ft}\)

Mean of country A is $29600 and median $29000. Mean of country B is $49800 and median is $29000. Country B has greater income inequality. So option B is the correct answer.

Mean of incomes in country A = (9000+ 21000+ 29000 + 39000+ 50000)/5   =  $29600

Median income of country A = (5+1)/2 th term = 3rd term = $29000

Mean to median ratio = 29600/ 26000= 1.02

Mean income of country B = ( 9000+ 21000+ 29000+ 39000+ 151000)/5 = $ 49800

Median income = (n+1)/2 th term = (5+1)/2 = 3rd term = 29000

Mean to median ratio of country B = 49800/29000 = 1.71

Since mean and median are closer to each other, standard deviation is less. The mean to median ratio is greater for country B. So country B has greater income inequality.

If the income inequality has been increasing, then the mean-median ratio will increase, due to the extreme values, mean will increase. So option B is the correct answer.

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Answer:  \(\frac{7}{120}\)

Step-by-step explanation:

Answer:

first option

Step-by-step explanation:

Given

area = 15x - 9 ← factor out 3 from each term

       = 3(5x - 3)

Thus the dimensions are 3 by (5x - 3)

The sum of the numbers 3+6+9+12+....+150 is 3825. To find the sum of an arithmetic series, you can use the formula:

Sum = (n * (a1 + an)) / 2

where n is the number of integers, a1 is the first integer, and an is the last integer.

In this case, the series is 3, 6, 9, ..., 150, and it's an arithmetic series with a common difference of 3. To find the number of integers (n) in the series, use the formula:

n = ((an - a1) / common difference) + 1

n = ((150 - 3) / 3) + 1 = (147 / 3) + 1 = 49 + 1 = 50

Now, use the sum formula:

Sum = (n * (a1 + an)) / 2
Sum = (50 * (3 + 150)) / 2
Sum = (50 * 153) / 2
Sum = 7650 / 2
Sum = 3825

So the sum of the given series is 3825.

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Answer:

y = - 2

Step-by-step explanation:

y = 5 is a horizontal line parallel to the x- axis

a parallel line will also be a horizontal line with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (1, - 2 ) with y- coordinate - 2, then

y = - 2 ← equation of parallel line

Answer:

Step-by-step explanation:

Trees or grasses may be growing around the entrance of the cave, and there might possibly be rocks around the side as well.

The most common plants in caves usually grow in the most moist parts and they are:

- Mosses (small flowerless plants that usually grow in dense green clumps or mats, in damp or shady locations)

- Ferns (flowerless plant that has feathery or leafy fronds and reproduces by spores released from the undersides of the fronds. Ferns have a vascular system for the transport of water and nutrients.)

- Liverworts (small flowerless green plant with leaf like stems or lobed leaves, occurring in moist habitats. Liverworts lack true roots and reproduce by means of spores released from capsules.)

These species can live at the entrance zone or in the twilight zone.

If you go into the twilight zone, cyanobacteria (a bacteria that has chlorophyll) causes all the rocks facing the entrance to be a shade of green.

All cave animals and organisms fit into three categories. Placement into these categories depends on how much time the organisms actually spends in the cave.

The first type  are known as Trogloxenes. You can think of trogloxenes as cave vistors. They come and go at will, but use the cave for specific parts of their life cycle (hibernation, giving birth, etc.) Although it spends specific parts of their life in the cave, it will never spend a complete life cycle in the cave.  Examples of animals that are trogloxenes are:

-Bats

-Bears

-Skunks

-Raccoon

-Moths (sometimes)

Troglophiles are the next level. These are organisms that survive outside the cave, but may prefer to live outside of it. They leave the cave only in search for food. A troglophiles can chose to live its entire life either inside  or outside of a cave. Some examples of trogphiles are:

-Beetles

-Worms

-Frogs

-Salamanders

-Crickets

-Spiders

-Crayfish (sometimes)

Troglobites are animals that live in the cave but do not come out. They often have physical adaptions to the cave life like no vision, or loss pigment because light does not reach this part of the cave. Examples would be

-Snails that have thin white shells and small eyes  

-Blind cave fish which has no eyes and no color

-Kauai Cave Wolf Spider which also has no eyes.

Bats are not true troglobites because they only use the cave for sleep, hiding and reproduction. There is about 50 000 troglobites in the world.

A bats habitat and niche would be inside of a cave, in the Twilight zone. The twilight zone is located in the middle of the cave, where some sunlight reaches. Because the bats aren’t so far back in the cave they would be able to leave the cave easy at night, in order to catch their prey, but aren’t so close to the front that they can’t sleep during the day because of the sunlight.

One way for food to get into the cave is through natural weather events such as a flood. Excess rainwater washes leaves, twigs, plants, etc. into a cave. This brings in food for insects and other animals. Another way food enters a cave is simply through animals, they bring it in. If times get hard in the cave, the organisms living in it can feed on each other. An example would be listed below which is how some centipedes grow large enough to feed on bats. Another source of food is guano.

The probability that the diameter of a selected bearing is greater than 52 millimeters is 0.8413. This can be calculated using the formula for probability of a normal distribution:

P(x > 52) = 1 - P(x ≤ 52)

P(x ≤ 52) = (52 - 58) / 6 = -1

P(x > 52) = 1 - P(-1) = 1 - 0.1587 = 0.8413.

Therefore, the probability that the diameter of a selected bearing is greater than 52 millimeters is 0.8413.

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The side lengths mentioned in option E are the sides of the right angled triangle.

Three given side lengths of a triangle a, b and c are said to be the sides of the right triangled triangle if -

a² = b² + c²

We can write for the given set of numbers in option 5 as -

(13)² = (12)² + (5)²

169 = 144 + 25

169 = 169

LHS = RHS

So, the side lengths mentioned in option E are the sides of the right angled triangle.

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(a) There are 40 french mathematics books then non-french books not about mathematics are 210. (b) There are 60 french nonmathematics books then non-french books not about mathematics are 150.

(a) If there are 40 French mathematics books, then the number of French books not about mathematics is 70 - 40 = 30.

Thus, the number of non-French books about mathematics is 100 - 40 = 60.

We can then find the number of non-French books not about mathematics by subtracting the number of French non-mathematics books from the total number of non-mathematics books, which is 300 - 60 - 30 = 210.

(b) If there are 60 French non-mathematics books, then the number of French books about mathematics is 70 - 60 = 10. Thus, the number of non-French books about mathematics is 100 - 10 = 90.

We can then find the number of non-French books not about mathematics by subtracting the number of French non-mathematics books from the total number of non-mathematics books, which is 300 - 60 - 90 = 150.

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The pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

What is vertical opposite angle ?

When 2 lines meet one another, then the other angles, shaped thanks to intersection ar known as vertical angles or vertically opposite angles. A try of vertically opposite angles ar continuously adequate to one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to a hundred and eighty degrees.

Main body:

1st pair of line intersect each other , so ∠1 = ∠2 by using vertical opposite angle.

2nd pair of line also intersect each other , so ∠3 ,∠4 are adjacent angles.

Hence ,pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

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The coordinates of the vertices of the preimage triangle = (4, 1), (6,1) and (6, -6).

Given the figure of the image triangle.

The coordinates of the image triangle are (-4, 1) , (-6,1) and (-6, -6).

We are asked to find the coordinates of the preimage triangle.

The preimage triangle was reflected over the y-axis .

The image triangle is lying on the 2nd and 3rd quadrants.

So the preimage triangle will lie on the 1st and 4th quadrants.

Then the coordinate (-4,1) will be the image of (4,1).

(-6, 1) will be the image of (6,1) and (-6,-6) will be the image of (6,-6).

Hence the coordinates of the vertices of the preimage triangle = (4, 1), (6,1) and (6, -6).

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The mean is the most appropriate measure of central tendency as it takes into account all values in the dataset and provides a useful representation of the average value. However, the median and mode can also be useful to consider, particularly if the dataset has extreme values or is not normally distributed.

The appropriate measure of central tendency depends on the level of measurement of the variable.

For nominal level variables, the mode is the most appropriate measure of central tendency. The mode represents the most frequently occurring value in the data and is a useful summary statistic for categorical data.

For ordinal level variables, the median is the most appropriate measure of central tendency. The median is the value that separates the data into two equal parts, with half of the observations above the median and half below. The median is appropriate for ordinal data because it does not assume that the intervals between values are equal.

For ratio and interval level variables, the mean is the most appropriate measure of central tendency. The mean is calculated by adding up all the values and dividing by the number of observations. It is appropriate for ratio and interval data because these data types have equal intervals between values, and the mean takes into account the magnitude of the values.

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The probability that the second gumball will also be red, given that the first gumball is red, can be calculated as follows:

Let's first determine the total number of possible outcomes when selecting two gumballs. From a jar of 16 gumballs, the number of ways to choose two gumballs is given by the combination formula:

C(16, 2) = 16! / (2! * (16-2)!) = 120

Now, let's determine the number of favorable outcomes, where both gumballs are red. We know that there are 8 red gumballs in the jar, and after selecting one red gumball, there will be 7 red gumballs left. Thus, the number of ways to choose two red gumballs is given by:

C(7, 1) = 7! / (1! * (7-1)!) = 7

Therefore, the probability of selecting a red gumball as the second gumball, given that the first gumball is red, is:

P(second gumball is red | first gumball is red) = favorable outcomes / total outcomes = 7 / 120 ≈ 0.0583.

Therefore, the probability that the second gumball will also be red is approximately 0.0583, or 5.83%

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Answer: The midpoint is (5,5.5)

Step-by-step explanation:

Adding X1 And X2 equals 10. Then the x variables have to be divided which is 10 divided 2 equals 5, the 5 represents the x value of the x part of midpoint. (5,?)

Adding Y1 and Y2 equals 11. Then the y variables have to be divided by 2 which is 11 divided by 2 equals 5.5, the 5.5 represents the y value of the midpoint. (?,5.5)

The final answer is Midpoint = (5,5.5)

Answer:

54 3/4

Step-by-step explanation:

18*3=54

1/4*3=3/4

Answer:

surface area of the rectangular shaped cereal box = 384  ft²

Step-by-step explanation:

The cereal box is a rectangular prism . The rectangular prism has a length of 9 inches, height of 12 inches and width of 4 inches . The surface area can be computed below .

Surface area of the prism is the sum of the area of all the faces. Therefore,

surface area = 2wl + 2lh + 2hw

where

l = length

w = width

h = height

surface area = 2wl + 2lh + 2hw

l = 9 inches

w = 4  inches

h = 12 inches

surface area = 2(4 × 9) + 2(9 × 12) + 2(12 × 4)

surface area = 2(36) + 2(108) + 2(48)

surface area = 72 + 216  + 96

surface area of the rectangular shaped cereal box = 384  ft²

Answer:

The cereal box is a rectangular prism . The rectangular prism has a length of 9 inches, height of 12 inches and width of 4 inches . The surface area can be computed below .

Surface area of the prism is the sum of the area of all the faces. Therefore,

surface area = 2wl + 2lh + 2hw

where

l = length

w = width

h = height

surface area = 2wl + 2lh + 2hw

l = 9 inches

w = 4  inches

h = 12 inches

surface area = 2(4 × 9) + 2(9 × 12) + 2(12 × 4)

surface area = 2(36) + 2(108) + 2(48)

surface area = 72 + 216  + 96

surface area of the rectangular shaped cereal box = 384  ft

Step-by-step explanation:

Answer:

Because when 39 is divided by 2 it has a decimal.

Step-by-step explanation:

39 ÷ 2 = 19.5

Step-by-step explanation:

because it doesn't divide by 2, any number that doesn't divide by 2 is a odd number, and any nr that doesn't leave a remainder and divides by 2 is even

Therefore, f(w ∩ x) = {0} ≠ f(w) ∩ f(x), which shows that the statement f(w ∩ x) = f(w) ∩ f(x) is false in general.

Let's consider the function f: R -> R defined by f(x) = x^2 and the subsets w = {-1, 0} and x = {0, 1} of the domain R.

f(w) = {1, 0} and f(x) = {0, 1}, so f(w) ∩ f(x) = {0}.

On the other hand, w ∩ x = {0}, and f(w ∩ x) = f({0}) = {0}.

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Answer: 12x⁶

Step-by-step explanation:

\((3x^3)(4x^3)=\\\\(3)(4)(x^3)(x^3)=\\\\12x^{3+3}=\\\\12x^6\)