Find the number of ways to arrange the letters in HEDGEHOG.
There are blank ways to arrange the letters in HEDGEHOG.

Answers

Answer 1

Answer:

Step-by-step explanation:

The number of ways to arrange the letters in "HEDGEHOG" is 8!/(2!3!). The exclamation mark (!) means factorial, which is the product of all positive integers up to that number. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

In this case, we have two H's and three E's, so we have to divide the total number of arrangements by the number of arrangements of H's and the number of arrangements of E's to avoid overcounting.

The total number of arrangements of the eight letters is 8!:

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

The number of arrangements of H's is 2!:

2! = 2 x 1 = 2

The number of arrangements of E's is 3!:

3! = 3 x 2 x 1 = 6

So the number of arrangements of the letters in "HEDGEHOG" that avoid overcounting is:

40320 / (2 x 6) = 40320 / 12 = 3360.

Therefore, there are 3360 ways to arrange the letters in "HEDGEHOG".


Related Questions

help me with this please i need help because i dont get it <33

Answers

Answer:

C

Step-by-step explanation:

consider the coordinates of the same points on both figures

top left vertex of figure P (- 8, 8 )

top left vertex of figure Q (- 4, 4 )

note that both coordinates from Q are half the coordinates of P

then to obtain Q from P multiply each coordinate by [tex]\frac{1}{2}[/tex] , that is

(x, y ) → ([tex]\frac{1}{2}[/tex] x , [tex]\frac{1}{2}[/tex] y )

Please help me!! Quiz due 11:59pm - Match each scatterplot shown below with one of the four specified correlations

Answers

so the closer to 1 the higher the correlation or the closer the dots are to each other.

a) -0.97
the dots should have a relatively negative slope and close together. the last graph fits this best.

b) 0.16
the dots should not really have a linear relationship and would look a bit disordered. this would best fit the first graph

c) 0.17
like b, this would be a bit disordered but there should be a more visible linear pattern amongst the dots, which i believe the second graph seems to fit the best.

d) 0.89
there would be a positive linear relationship amongst the dots and they should be relatively close together which fits the third graph best.

b and c are very similar, and to me the first graph fits b better, however if you believe the second is less of a linear relationship compared to the first one, put that as b

I need to know why the medians differ relative to the data set and the best measure of center?

Answers

Explanation:

In this case the median value is more representative of the 'center' of the population. The median is a better measure when the data set is skewed, has fat tails as compared to a normal didtribution, or has outliers. Otherwise you should use the arithmetic mean.

Which of the following is the midsegment for A ACE?

A. AC
B. BC
C. DB
D. CE

Answers

Answer: Segment DB (3rd choice)

Explanation:

Points B and D are midpoints of segments AC and CE respectively. This is because of the tickmarks indicating congruent segment pieces (AB = BC and CD = DE)

Joining the midpoints together forms a midsegment. The midsegment is half as long as the side parallel to it. This means BD is half as long as AE. Flip things around to say that AE is twice as long as BD.

Caleb observed the costumes that people wore to a costume party. The themes of the costumes and the number of people who wore them are shown in the following table.


Costume Theme Superhero Decades Scary TV & Movie Characters Animals Career
Number of People 128 96 72 52 24 28


A circle graph was drawn from the data in the table. What percentage would be on the Decades slice of the circle graph?
24%
26.7%
86.4%
96%

Answers

Answer:

  (a)  24%

Step-by-step explanation:

You want the percentage of people in the Decades slice of a circle graph if it represents 96 people. The other slices represent 128, 72, 52, 24, and 28 people.

Percent

The fraction in the second category is the ratio of the number in that category to the total number. The percent is the fraction multiplied by 100%.

  96/(128 +96 +72 +52 +24 +28) × 100% = 96/400 × 100% = 24%

The Decades slice of the circle would be 24%, choice A.

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Select the correct answer.
of a group of 500 people, 60 are fit enough to climb Mount Shasta in California. The group has 300 women and 200 men. 12% of the men are fit
to climb the mountain. What is the probability that a person picked at random from the group is a male or is fit to climb Mount Shasta?
OA
OC
OD.
Answer as a fraction

Answers

Answer:

As a fraction, the probability that a person picked at random from the group is a male or is fit to climb Mount Shasta is 12/100.

Step-by-step explanation:

Let the number of fit men is x.

Now,

we know

x = 12% of 200 men

x =  [tex]\frac{12}{100}[/tex]   ×200

x = 0.12 × 200

   = 24 men.

Given,

The 60 people are fit to climb the Mount Shasta ,24 of them are men,

so there must be

60 - 24 = 36 women who are fit to climb the mountain.

The probability of a person picked at random from the group is a male or is fit to climb Mount Shasta is the sum total of the probability of picking a fit male and the probability of picking a fit female is,

P(male or fit) = P(male and fit) + P(female and fit)

P(male or fit) = P(male) × P(fit | male) + P(female) × P(fit | female)

P(male or fit) = ([tex]\frac{200}{500}[/tex]) ×([tex]\frac{24}{200}[/tex]) + ([tex]\frac{300}{500}[/tex]) × ([tex]\frac{36}{300}[/tex])

                     =.4 × .12 + .6 × .12

                     = 0.048 + 0.072

                     =.12

So,

P(male or fit) ≈ 0.12

As a fraction, the probability that a person picked at random from the group is a male or is fit to climb Mount Shasta is 12/100.

In ΔGHI, i = 800 cm, m m∠G=26° and m m∠H=122°. Find the length of h, to the nearest 10th of a centimeter.

Answers

Answer:

For the nearest 10th of a centimeter, the value of h is 460 cm

Step-by-step explanation:

To find length of h we can use Law of Sines  . The Law states that for a triangle with sides a, b, and c and angles A, B, and C opposite to those sides, the following equation holds:

a/sin A = b/sin B = c/sin C

In ΔGHI, let h be the length of the side opposite angle H, and let i be the length of the side opposite angle I.

Now:

h/sin 122° = i/sin 26°

We can find h by cross multiplying:

h = i * sin 122° / sin 26°

  =459.9

Here,

h = 459.9 cm

By taking approximation we get 460 cm

Answer:

This answer is actually 1280.3

Step-by-step explanation:

A rectangular garden 12 feet by 16 feet has a stone path along the perimeter with the same width, w. The area of the garden and path is 420 square feet.

Answers

The correct equation to find the width, w, of the stone path would be: Option B. (2w+12) (2w+16) = 420

This is because the area of the garden and path is equal to the area of the rectangle with dimensions (12+2w) and (16+2w). Therefore, we can set up the equation:

(12+2w)(16+2w) = 420

Expanding and simplifying, we get:

4w² + 56w - 204 = 0

Dividing by 4, we get:

w² + 14w - 51 = 0

Factoring, we get:

(w+17)(w-3) = 0

Since the width of the path cannot be negative, the only valid solution is w = 3.

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Complete question is in the image attached

Que es el crecimiento exponencial?

Answers

The concept of exponential growth function is discussed below.

What is exponential function?

An exponential function is of the form -

y = A(B)ˣ

Given is to explain exponential growth.

Exponential growth of a quantity happens if the rate of instantaneous change is directly proportional to the quantity itself. The general exponential function is -

y = A(B)ˣ

More specifically -

[tex]$f(x)=a(1+r)^{x}[/tex]

where -

f(x) = exponential growth function

{a} = initial amount

{r} = growth rate

{x} = number of time intervals

Therefore, the concept of exponential growth function is discussed above.

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{Question in english -

What is exponential growth?}

A survey is taken at a movie theater in Wayside. The first 100 people who entered the theater were asked about their favorite type of movie. What is true about this situation?

The population is the first 100 people at the theater, and the sample is the total number of people who go to the movie theater.
The population is the total number of people who go to the movie theater, and the sample is the first 100 people at the theater.
The population is the number of people who go to the movie theater, and the sample is the number of people in the town of Wayside.
The population is the number of people in the town of Wayside, and the sample is the number of people who go to the movie theater.

Answers

What is true about the population and sample of the survey is that;'

The population is the total number of people who go to the movie theater, and the sample is the first 100 people at the theater.

How to Identify the Population and sample of the data?

In statistics, the population is defined as the entire group that you want to draw conclusions about. However, the sample is defined as the specific group that you will collect data from. The size of the sample is always less than the total size of the population. In research, a population doesn't always refer to people.

Now, we are told that a survey is taken at a movie theater in Wayside. The first 100 people who entered the theater were asked about their favorite type of movie.

Thus, the sample will be 100 people surveyed as they are part of the entire people at the movie theater.

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The smiths took out a $130,000, 30 year mortgage at an APR of 3.4%. The monthly payment was $576.53. What will be their total interest charges after 30 years?

Answers

The total interest charges after 30 years with an APR of 3.4 % is given by the equation A = $ 77,550.80

What is Annual Percentage Yield?

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest. An APR is a number that represents the total yearly cost of borrowing money, expressed as a percentage of the principal loan amount.

Given data ,

Let the total interest charges after 30 years be represented as A

Now , the equation will be

The APR percentage = 3.4 %

The amount taken as loan = $ 130,000

The number of years = 30 years

The monthly payment = $ 576.53

The number of payments n = 30 x 12 = 360 payments

So , the total amount paid in 30 years = monthly payment x number of payments

Substituting the values in the equation , we get

The total amount paid in 30 years = 360 x 576.53

The total amount paid in 30 years = $ 207,550.80

Now , the total interest charges after 30 years A = total amount paid in 30 years - amount taken as loan

Substituting the values in the equation , we get

The total interest charges after 30 years A = $ 207,550.80 - $ 130,000

On simplifying the equation , we get

The total interest charges after 30 years A = $ 77,550.80

Hence , the interest charges after 30 years is $ 77,550.80

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LMNO is a parallelogram. If NM = x + 37 and OL = 5x + 9 find the value of x.

Answers

The value for the variable x in the parallelogram is equal to 7.

How to evaluate for the variable x in the parallelogram

The parallelogram LMNO have two pairs of parallel sides hence LO = MN and LM = ON.

We shall evaluate for variable x as follows:

5x + 9 = x + 37

5x - x = 37 - 9 {collect like terms}

4x = 28

x = 28/4 {divide through by 4}

x = 7

Therefore, the value for the variable x in the parallelogram is equal to 7.

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The value of the variable x is 7

How to determine the value

It is important to note that the opposite sides of a parallelogram are congruent or equal in length.

Then, for the parallelogram LMNO

NM is parallel to OL

Now, substitute the values, we get;

NM = OL

x + 37 = 5x + 9

collect like terms

x - 5x = 9 - 37

subtract the like terms

-4x = -28

Make 'x' the subject

x = 7

Hence, the value is 7

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ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

48ft²

Step-by-step explanation:

Visualize the trapezoid as consisting of a rectangle with two triangles on either side. To find its total area, find the area of each and add them up.

Note that the formula for the area of a square is (base*height) and the formula for the area of a triangle is (0.5*base*height). The bottom of the trapezoid is 15ft and the top is 9ft, which makes the combined bases of the two triangles 15-9=6ft, meaning each triangle's base is 3ft.

Area of left triangle = 0.5*3*4 = 6ft²

Area of square = 4*9 = 36ft²

Area of right triangle = 0.5*3*4 = 6ft²

Therefore the total area is: 6ft² + 36ft² + 6ft² = 48ft²

Answer:

48ft?

Visualize the trapezoid as consisting of

a rectangle with two triangles on either

side. To find its total area, find the area of

each and add them up.

The length of each side of an equilateral triangle having an area of square root of 243sq.cm is​

Answers

Answer:

[tex]\textrm{Each side = 23.6893 cm}\\\\\\\textrm{Rounded to 2 decimal places = 23.69 cm}\\\\\textrm{Rounded to 1 decimal place = 23.7 cm}[/tex]

You can choose the level of precision as desired from the above

Step-by-step explanation:

The area of an equilateral triangle of side a

is
[tex]A = \dfrac{(a^2 \sqrt{3})}{4}[/tex]

We are given A = 243

Plugging in values we get

[tex]243 = \dfrac{a^2\sqrt{3}}{4}[/tex]

Switch sides so [tex]a^2[/tex] term is on the left

[tex]\dfrac{a^2\sqrt{3}}{4} = 243[/tex]

Multiply by 4 both sides to get rid of the denominator:
[tex]\dfrac{a^2\sqrt{3}}{4} \times 4 = 243 \times 4\\\\a^2\sqrt{3} = 972\\\\[/tex]

Divide by [tex]\sqrt{3}[/tex]  both sides:
[tex]a^2 = \dfrac{972}{\sqrt{3}}\\\\a^2 = 561.18446\\\\a = \pm \sqrt{561.18446}\\\\[/tex]

Taking only positive square root:
[tex]a = \sqrt{561.18446}\\\\a = 23.6893\\\\[/tex]

Suppose that x and y vary inversely, and x = 10 when y = 8. Write the function that models the inverse variation.

Answers

If x and y vary inversely, we can write their relationship then the function that models the inverse variation is y = 80/x.

What is Function?

In mathematics, a function is a rule or mapping that associates each input value (also called the independent variable) with a unique output value (also called the dependent variable). Functions are often represented using an equation, formula, or a graph, and are used to model real-world phenomena and solve problems in various fields such as science, engineering, economics, and more.

They can take different forms and have different properties, such as being linear, quadratic, exponential, periodic, or more complex. Some common notation used to represent functions includes f(x), y = f(x), or simply y.

If x and y vary inversely, we can write their relationship as:

x * y = k

where k is a constant of proportionality. We can use the given initial values of x and y to solve for k:

10 * 8 = k

k = 80

Therefore, the function that models the inverse variation is:

x * y = 80

or

y = 80/x

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An angler catches a fish that weighs 20 kg. The fish’s bones make up approximately 10% of the fish’s total weight. What is the weight of the fish meat, not including the bones, in pounds? Round to the nearest tenth if necessary.

44.0
40.0
39.6
4.4
4.0

Answers

Answer: approximately 40lbs.

Step-by-step explanation:

First, you multiply 20kg to 10%, or 0.10.

20(0.10)=2kg

Then you minus the 2kg from the initial weight

20kg

-2kg

18kg

1 kg is approximately 2.20462262 lbs., so you need to convert your kg to lbs

18kg * 2.20462262 lb/kg = 39.68320716 which is rounded up to approximately 40lbs

Hope that helps!

Out of a random sample of 300 voters, it was found that 172 voters are in favor of Issue #1.
Out of a total of 75,000 voters, how many do you predict will vote against Issue #1?
It is predicted that ___
voters are against Issue #1.

A- 30,000
B- 32,000
C- 43,000
D- 60,000

Answers

Answer:

B)32000

Step-by-step explanation:

Out of 300, 172 are in favor, and 142/300 is simplfieid as 43/75

43/75 is equal to 43,000/75000

Subtract 75000 by 43000

The difference is 32,000.

32,000 voters are against the Issue.

PT=y, TR=3x + 1, QT=3y, TS = 4x + 13

find x and y

Answers

The values of x and y for the parallelogram PQRS are respectively, 2 & 7

What are the properties of parallelogram ?

Opposite sides are parallel: The pairs of opposite sides of a parallelogram are always parallel to each other.

Opposite sides are equal in length: The pairs of opposite sides of a parallelogram are equal in length.

Given that,

The parallelogram PQRS has diagonals PR and SQ that intersects at T,

T is the midpoint of PR and T is the midpoint of SQ

If T is the midpoint of PR, then PT = TR

Given  PT = y and TR = 3x+1

y = 3x+ 1 _____(i)

Also, If T is the midpoint of SQ, then ST = TQ

Given QT=3y and TS=4x+13

3y = 4x+ 13 ____(ii)

Substitute equation 1 into 2;

3y = 4x+ 13

3(3x+1) = 4x+ 13

open the parenthesis

9x+3 = 4x+13

club like terms

9x-4x = 13-3

5x = 10

x = 10/5

x = 2

Substitute x = 2 into equation 1

From 1; y = 3x+1

y = 3(2)+1

y = 6+1

y = 7

Hence, the values are x = 2 and y = 7

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The complete questions :

Parallelogram PQRS has diagonals PR and SQ that intersect at T find the values of x and y PT=y TR=3x+1 QT=3y TS=4x+13

why is this graph not a function?​

Answers

The graph is not a function because it fails the vertical line test

How to determine why it is a not function

From the question, we have the following parameters that can be used in our computation:

The graph (added as an attachment)

The given graph when represented as an equation, is a circle equation

As a general rule, we have

Circle equations are not functions and they do not represent a function on a graph

This is so because they do not pass the vertical line test

Hence, the graph is not a function

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Find the equation of the line with slope 7 which goes through the point (−2,−9).

Answers

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-9})\hspace{10em} \stackrel{slope}{m} ~=~ 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{ 7}(x-\stackrel{x_1}{(-2)}) \implies y +9= 7 (x +2) \\\\\\ y+9=7x+14\implies {\Large \begin{array}{llll} y=7x+5 \end{array}}[/tex]

Grant is thinking of two numbers. He says one of the numbers is twice the other number and the sum of the number is 42. What are the numbers?

Answers

On solving the provided question, we can say that by linear equation If The Grant is thinking of two numbers, they are 13 and 26.

What is a linear equation?

A linear equatiοn is one that has the form y = mx+b in algebra. B is the slοpe, and m is the y-intercept. It's usual to refer tο the previous clause as a "linear equation with twο variables" because y and x are variables. The twο-variable linear equations knοwn as bivariate linear equations.

There are several instances οf linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred tο as being linear when an equation has the fοrm y = mx+b, where m stands for the slοpe and b for the y-intercept. When an equatiοn has the formula y = mx+b, with m denοting the slope and b the y-intercept, it is referred tο as being linear.

x be the first number and y be the secοnd number:

x = 2y

x + y = 39

Plug x = 2y in the other equation:

2y + y = 39

3y = 39

y = 13

x = 26

If The Grant is thinking of two numbers, they are 13 and 26. He claims that the total of the two numbers is 39 and that one of the numbers is double the other.

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I need the modulus of: I 9+40i I

I = absolute value

Answers

The required modulus is 41 .

Complex Numbers:

A real and imaginary number combo with the formula a + bi , where

a and b are real numbers, and

i is the "unit imaginary number" √(−1)

a and b may also have zero values.

We are aware that complex numbers are made up of both actual and fictitious numbers.

The imaginary part, y, is multiplied by I the square root of -1, and the real part, x.

Modulus of x+iy = [tex]\sqrt{x^2 +y^2}[/tex]

Here, 9 and 40 are substituted for x and y.

i.e. 9+40i

We square the coefficients, add them, and then find the square root to obtain the modulus.

|9+40i| =[tex]\sqrt{9^2 +40^2} =\sqrt{81+1600} =\sqrt{1681}[/tex][tex]=41[/tex]

By long division method we find that

|9+40i| =41

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The cost for shipping a package that weighs x pounds from Boise
to Los Angeles is shown at the right. How much more does
Shipping Central charge than Globe Delivery?

Answers

Shipping Central charges $0.51 more than Globe Delivery for any given weight of the package.

How to calculate this?

The cost for shipping a package that weighs x pounds from Boise to Los Angeles is shown below.

Company                    Cost ($)

Shipping Central        3x+3.50

Globe Delivery          2x + 2.99

To determine the amount more Shipping Central charges than Globe Delivery, you can subtract the cost function for Globe Delivery from the cost function for Shipping Central.

The difference between the two cost functions is:

3x + 3.50 - (2x + 2.99) = x + 0.51 = $0.51 + x

This means that, for any given weight of the package, Shipping Central charges $0.51 more than Globe Delivery.

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SOMEONE PLEASE HELP...............

A plane that passes through three edges of a cube produces a triangular cross section as shown.

In two or more complete sentences, explain how the plane should pass through the cube in order to produce a cross section that is a regular hexagon.​

Answers

A cross section of a cube that is a regular hexagon can only be obtained if the plane passes through the cube at a 60-degree angle with respect to its edges. If a plane is placed in this manner, it will intersect six of the cube's edges at their midpoints, producing a regular hexagon cross section.

What are True Statements about a Plane that Pass Through a Cube?

The plane that passes through three edges of a cube to produce a regular hexagonal cross section must intersect the edges of the cube at 60 degree angles. This can be achieved if the plane is aligned with the diagonal of one of the faces of the cube, passing through the opposite vertices of the face.

This configuration of the plane will result in a regular hexagonal cross section of the cube as each vertex of the hexagon will correspond to one of the vertices of the cube, and each side of the hexagon will intersect two edges of the cube at 60 degree angles.

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help please!!!!!!!!!!

Answers

Answer:

5x(8-1)=(5x10)-(5x4)

If possible factor. Find LCD. Multiply both sides by LCD. Solve show all work.

Answers

The lowest common denominator of the fraction is 6

What is LCD

The lowest common denominator (LCD) is the smallest common multiple of the denominators of a set of fractions. It is used to add or subtract fractions with different denominators.

The LCD of a set of fractions is the smallest number that is divisible by all the denominators in the set. When all the denominators are divided into the LCD, each fraction has an equivalent fraction with the same value and a denominator equal to the LCD.

In the fraction given;

x / 3 + x / 2 = 20

The lowest common denominator is 6

Using 6, we can divide through each of the fraction.

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9. Evan and Yong used this shape
, representing the unit fraction, to draw 1 whole.
Shania thinks both of them did it correctly. Do you agree with her? Explain your answer.

Answers

From the given figure we can say that , Evan's used the given shape correctly to represent the unit fraction .

What is a unit fraction ?

A unit fraction is a fraction whose numerator (top number) is equal to 1. For example, 1/2, 1/3, 1/4, and so on are all unit fractions. Unit fractions are commonly used to represent parts of a whole, and they can also be used to perform certain mathematical operations such as addition and multiplication.

Given ,

Evan and Yong used the given shape representing the unit fraction, to draw 1 whole.

so,

from the given figure ,

in the evan diagram we can say it was mentioned correct, as we need to write down that in 1/3 where as in the Yong's case we can say that it does not come to 1/3 as a final resultant.

Therefore, From the given figure we can say that , Evan's used the given shape correctly to represent the unit fraction .

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What is (−2) ( 3 4/7 ) ? step by step

Answers

-7.1 rounded. 4/7+3 and the multiple by -2

Answer:-50/7 or -7.143

Step-by-step explanation:

you have to turn the 3 4/7 into an improper fraction by this:

3x7=21

21+4=25

which makes it 25/7

(25/7)x(-2) = -50/7 or -7.143

You randomly draw once from this deck of cards.
4 6
1 6 9 4
8
1
1
2 6 7
What is the probability of not drawing an even number? Write your
answer as a fraction.
9
5

Answers

Answer:why not

Step-by-step explanation:that sa prrety nice ask

Answer: 5/8

Step-by-step explanation:

The probability of not drawing an even number can be calculated by finding the number of odd numbers in the deck and dividing by the total number of cards. In this deck, there are 5 odd numbers: 1, 1, 1, 7, and 9. The total number of cards is 8. Therefore, the probability of not drawing an even number is 5/8. The answer is written as a fraction as 5/8.

Interpret the scatter plot based on the shape of the distribution.

Answers

Answer: Looks like a positive correlation with an outlier in the lower left.

Step-by-step explanation:

Other Questions
The country of Zombie Land's consumer spending was $200 for2020. Its investment spending was $6000 and its governmentspending was $1000. Its exports were $200, while its imports were$750. What was Zombie Land's Nominal GDP for 2020?O $7,200O $6,650O $8,150O $7,750 A(n)in the concentration of reactants will result in a(n)Multiple Choiceincrease; decreasedecrease; increaseincrease; increasein the rate of the chemical reaction the base of the rectangle is 7 more than its height x. if the perimeter of the rectangle is greater than 30in find the height Select the correct answer from each drop-down menu. Len has written an essay about the colors that Abbey uses in King Lear: Cordelias Farewell. He has made a claim about why Abbey chose certain colors for the characters, but he has not connected his ideas well. Which connecting words or phrases should he add to these sentences to show a logical connection between ideas?Abbey clothes the older sisters in blood-red and black fabrics to suggest their untrustworthy motivations; , he clothes Cordelia in pale colors and white to suggest her innocence. The old king is also dressed in pale colors; , in his case the colors suggest his age and frailty, unlike the rich reds and grays worn by the young, powerful King of France which of the following statements is true of genetic mutations? a. errors in dna replication are most often fatal. b. errors in dna duplication are normally irreparable. c. mutations may result from environmental agents. d. mutations that occur in somatic cells are inheritable. Commonlit3. Throughout the oral history, the interview editorhas included summaries of some of the events inLohitai's life. Which statement best explains whythe editor would include these sections?O A. to provide a comprehensive summary of howthe conflict in Sudan impacted his lifeOB. to ensure that the majority of the text focuseson Lohitai's reflections and feelingsO C.. to show that Lohitai's struggles were amrmerience for most refugees NK=(12If the quadrilateral below is a rhombus, find the missingmeasures. MK = 24, JL = 20, and m/MJL = 50. Round to 1decimal place.NL=10ML=(68JM=(68m&KNL=(), m&KJL=(m_MLK=), m/JKM=( why are comets composed of ice and dust? no goovxgle answers. if ur answer is correct and makes sense ill give u brainiest, give 5 stars and cavxsh avxpp u 3 a hospital director is told that 55% of the treated patients are insured. the director wants to test the claim that the percentage of insured patients is less than the expected percentage. a sample of 230 patients found that 115 were insured. determine the p-value of the test statistic. round your answer to four decimal places. what effect would you expect air resistance have on the graph in part a? (would it curve up, curve down, be steeper, etc?) What was the most important result of this agreement?a. Spain did that because Asia had resources they needed.b. Spain and Portugal dividing their land.c. The Dutch destroyed Portuguese power and set up companies.d. Advances in sailing and navigational techniques. When does a recessive sex-linked trait show up for a female? February is National Black History Month. Which African American do you feel should be recognized for their contributions to history? Why? Please write a 7-sentence response. how many particles are in 0.431 moles of PF5 [tex]64^{2x+1} =1024[/tex] suppose you are asked to guess a number between 1 and 15 (inclusive), and after each guess you are told whether it is higher or lower. what is the minimum number of guesses required to guarantee that you know the number? Why does passive transport not require the cell to use energy to move molecules across the membrane?Question 3 options:The molecules use protein pumps to move molecules across the membrane.The molecules are moving from low concentration to high concentration.The molecules are moving from high concentration to low concentration.The molecules are moving against the concentration gradientthis is science btw The way in which information is processed and manipulated in remembering, thinking, and knowing What is true of the fluid mosaic model? A. Phospholipid monolayer is present over the protein layer B. Phospholipid bilayer is present over the protein layer C. Protein embedded in the phospholipid bilayer D. The phospholipid layer is sandwiched between two protein layers Question 9 of 10A group of Congress members is contacted by membersof a committee who would like to submit a bill for a floordebate. The group reviews the bill as well as the currentschedule of debates. After the review, the group decidesthat the bill is not important enough to justify a debate.The group refuses to schedule a debate, killing the bill.Which congressional group is most likely described in the passage?OA. The House Ways and Means CommitteeOB. The House Rules CommitteeOC. A conference committeeOD. The Committee of the whole