a standard card deck consists of 52 cards, made up of 13 cards of each of 4 different suits. how many unique 5 card hands exist that are all the same suit? hint: does order matter?

Answers

Answer 1

By the information provided in the question, we got to know that - there are 2598960 ways.

What are combinations?

Combining means selecting all or part of a set of objects, regardless of the order in which the objects are selected. Suppose we have a set of three characters.

[tex]^nC_{r} = \frac{n!}{r!(n - r)!}[/tex]

You are choosing a subset of size 5 from a set of size 52.

[tex]Note that the order you are dealt these 5 cards is irrelevant.[/tex] Thus, order doesn’t matter.

Thus, this is a combination problem. The formula for this is:

[tex]Comb(52,5) = \frac{52!}{5! 13!} = 2598960.[/tex]

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Related Questions

bivariate regression can not demonstrate: question 19 options: a) when the two variables are linear. b) when the two variables are strongly inversely related. c) when the two variables are strongly positively related. d) when the two variables are causally related.

Answers

Bivariate regression can not demonstrate when the two variables are causally related.

The term variables in math means an alphabet or term that represents an unknown number or unknown value or unknown quantity.

Here we have to find the term that must not demonstrate the bivariate in math.

In order to find the resulting term, we must know the definition of bivariate regression.

The term bivariate regression in statistics is defined as the simple linear regression model which is used to predict one variable referred to as the outcome, criterion, or dependent variable from one other variable referred to as the predictor or independent variable.

Based on these definition we have identified that if the two variables are related then the regression process is not possible.

Therefore, option (d) is correct.

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write the equation of the line in slope-int form that is perpendicular to y=-x - 18 and passes through (-6,11)

Answers

Answer:

y = x + 17

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 18 ← is in slope- intercept form

with slope m = - 1

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1 , then

y = x + c ← is the partial equation of the perpendicular line

to find c substitute (- 6, 11 ) into the partial equation

11 = - 6 + c ⇒ c = 11 + 6 = 17

y = x + 17 ← equation of perpendicular line

how are Polynomial and Multiplicity of Zero connected?

Answers

Answer: The multiplicity of a zero determines how the graph behaves at the x-intercepts. The graph of a polynomial will cross the horizontal axis at a zero with odd multiplicity. The graph of a polynomial will touch the horizontal axis at a zero with even multiplicity.

8010005 in international number system

Answers

Answer:

8,010,005

Step-by-step explanation:

eight million ten thousand and five

hope this helps

Parallelogram MNOP with vertices M(1, 7),
N(8, 5), O(4, 2), and P(-3, 4): and it rotates 180° What will be the new coordinates

Answers

The new coordinates are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

What is a 180 degrees rotation?

A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.

And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e  (x, y) ⇒ (-x, -y)

How to determine the image of the rotation?

The coordinates of the parallelogram are given as

M(1, 7), N(8, 5), O(4, 2), and P(-3, 4)

The rotation is given as 180° rotation

As mentioned above,

We have (x, y) ⇒ (-x, -y)

Substitute M(1, 7), N(8, 5), O(4, 2), and P(-3, 4) in (x, y) ⇒ (-x, -y)

So, we have

M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Hence, the coordinates of the image are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

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Consider the following graph. у 5 5 -4 -3 2 1 1 2. 2 3 4 5 6 (a) Find the interval(s) on which fis increasing. (Enter your answer using interval notation.) (b) Find the interval(s) on which fis decreasing. (Enter your answer using interval notation.) (c) Find the open interval(s) on which fis concave upward. (Enter your answer using interval notation.) (d) Find the interval(s) on which fis concave downward. (Enter your answer using interval notation.) (e) Find the coordinates of the point(s) of inflection. (x,y) = -([ The graph of the derivative f' of a function fis shown. y= f'(x) A 0 2 X 4 6 (a) on what intervals is fincreasing? (Enter your answer using interval notation.) On what intervals is f decreasing? (Enter your answer using interval notation.) (b) At what values of x does f have a local maximum or local minimum? (Enter your answers as a comma-separated list.)

Answers

Answer:

Consider the following graph

(a) Find the interval(s) on which fis increasing. (Enter your answer using interval notation.)  = (1,3)U(4,6).

(b) Find the interval(s) on which fis decreasing. (Enter your answer using interval notation.) = (0,1)U(3,4).

(c) Find the open interval(s) on which fis concave upward. (Enter your answer using interval notation.) = (0,2).

(d) Find the interval(s) on which fis concave downward. (Enter your answer using interval notation.) = (2,4)U(4,6).

(e) Find the coordinates of the point(s) of inflection. (x,y)

=  (2, 3), (4, 1)

The graph of the derivative f' of a function fis shown.

(a) on what intervals is f increasing? (Enter your answer using interval notation.) = (0,1)U(3,5)

(b) On what intervals is f decreasing? (Enter your answer using interval notation.) = (1,3)U(5,6)

(c) At what values of x does f have a local maximum or local minimum? (Enter your answers as a comma-separated list.) = 1,3,5

if you get it right, you are a critical thinker. you were in the garden, there are 34 people in the yard. you kill 30. how many people are in the garden. i won against

Answers

There is only one person in the garden.

How to determine the number of people that remain?

The given parameters are

There are 34 people in the yard You kill 30 people

So the number as per the riddle is that the yard and the garden are the same

So, it means that you killed 30 people and the other 4 people escaped from the backyard.

So if the other 4 people escaped, the implication is that only the killer is left in the garden

In conclusion, the killer should understand that out of fear, all that were not killed will run away and he will be left alone. This means that only the killer was left = 1 person

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1.jessica is measuring two line segments. the first line segment is 30 cm long. the second line segment is 500 mm long. how long are the two line segments together?

Answers

The total length of two line segments is 80 cm

A line segment is just part of a line. It has two endpoints,

given that

the first line segment is 30cm

the second line segment is 500mm

now we need to convert it into cm from mm

To convert mm to cm, we need to multiply the length in mm by 0.1 cm since 1 mm is equal to 0.1 cm.

500 mm × 0.1 cm = 50cm

now we need to add two line segments

30 cm + 50 cm = 80 cm

The total length of two line segments is 80 cm

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the manufacturer of allay pain reliever offered a free sample of the product to visitors who registered at its website. in this case, the communications objective of the website was to

Answers

The manufacturer of allay pain reliever offered a free sample of the product to visitors who registered at its website. in this case, the communications objective of the website was to increase awareness of Allay Pain Reliever and generate customer leads.

What are the goals of communications?

Communication objectives are the aims and principles that guide how a person or company interacts with customers, staff, or other stakeholders. Workplaces can establish and uphold uniform standards for every contact by adopting communication strategies.

Why is it vital to have communication objectives?

In order to achieve marketing goals with an increase in the rate of purchases or information requests, the communication objectives must first develop a good consumer attitude.

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How do you convert 0.916 (6 repeating) to a fraction?

Answers

Step-by-step explanation:

0.91666666...

is the sum of

0.91 and 0.006666666...

0.66666666... = 2/3

0.0066666666... = 2/300

0.91 = 91/100

so,

0.91666666... = 91/100 + 2/300 =

= 91×3/300 + 2/300 =

= 273/300 + 2/300 = 275/300 =

= 11/12

if you fail to find a fraction at the beginning (like the 2/3 we did), remember the following basics

0.1111111111... = 1/9

0.2222222... = 2/9

0.33333333... = 3/9 = 1/3

0.44444444... = 4/9

0.55555555... = 5/9

0.66666666... = 6/9 = 2/3

0.777777777... = 7/9

0.88888888... = 8/9

0.99999999... = 9/9 = 1

if you want to repeat a pattern like

0.125 to

0.125125125125125...

remember this simple trick

0.125 = 125/1000

0.125125125125125... = 125/999

you must use as many 9s as you have digits in the basic pattern.

227/999 = 0.227227227227227...

6382/9999 = 0.63826382638263826382...

and so on.

Answer:

11/12

Step-by-step explanation:

1. Let x = 0.916 (6 repeating)

2. Identify the FIRST repeating digit's place value:

   6 is in the 1000ths place

3. Multiply BOTH sides of x = ... by the value you got in step 2

   x = 0.916 (6 repeating)

   1000x = 916.6 (6 repeating)

4. Subtract the x = ... from the 1000x = ...:

   1000x = 916.666...

           x =     0.916...

    999x = 915.75

5. Divide both sides by 999:   [tex]x=\frac{915.75}{999}[/tex]

6. Rewrite as a corrected fraction: [tex]x=\frac{91575}{99900}[/tex]

7. Simplify as far as possible: [tex]x=\frac{91575}{99900}/\frac{8325}{8325}=\frac{11}{12}[/tex]

Find a unit normal to the surface cos(xy)=ez−2 at (1,π,0)

Answers

The Unit Normal to the Surface cos(x. y) = e. z - 2 at (1,π,0) is -2 ≤ z ≤ 2.

Let F(x, y, z) = cos(x.y) − e.z + 2 .

A given surface is the same as the set of planes F(x, y, z) = 0.

Since the gradient vector ∇F( 1 , π, 0) is normal to this surface at (1, π, 0) , find this vector and normalize it to get the unit vector normal to this surface.

Differentiate:

∇F(x, y, z) = (−y sin(x y), −x sin(x y), e(z)

or

∇F(1, π, 0) = (0 , 0 , 1).

This vector is already of length 1, so this is sufficient. Alternatively, you can use the vector opposite. Therefore, the two vectors that satisfy the problem are ±k.  At problem point, the surface is flat horizontally.

We may want to see what this interface looks like. This is a computer-generated sketch corresponding to:

                      −4 ≤ x ≤ 4, −4 ≤ y ≤ 4, −2 ≤ z ≤ 2.

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Question Solve the equation. −2/3x+3/7=1/2 x=

Answers

Answer: x=-3/28

Step-by-step explanation:

isolate x alone and move all other numbers to the right

-2/3x+3/7-(3/7)=1/2-3/7

-2/3x= 1/14

-2/3(-3/2)+x=1/14*-3/2

x=-3/28

A system of two linear equations in two variables has no solution. What statement is accurate about these two linear equations?

Responses

The two linear equations never intersect.
The two linear equations never intersect.

The two linear equations graph the same line.
The two linear equations graph the same line.

The two linear equations do not cross the x-axis.
The two linear equations do not cross the x-axis.

The two linear equations do not cross the y-axis.
The two linear equations do not cross the y-axis.

The two linear equations intersect at exactly one point.

Answers

The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.

How many types of solution are there for two linear equations ?

There are 2 types of solution :
Consistent :

A consistent system is said to be an independent system if it has a single solution.

A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.

Non-consistent :

Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.

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The two linear equations never intersect.

When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.

If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.

It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.

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In which of the following cases, a triangle CANNOT be constructed with the given lengths of sides? * 1 point (a) 8 cm, 4 cm, 5 cm (b) 7 cm, 3 cm, 5 cm (c) 11 cm, 7 cm, 2 cm (d) 12 cm, 8 cm, 6 cm

Answers

Answer:

Step-by-step explanation:

ans will be (c) 11 cm, 7 cm, 2 cm

Step-by-step explanation:

Though the sum of any two sides of a triangle should be always greater than the third side i.e.,

11 + 7 > 2

7 + 2 = 9 < 11

so, no triangle can be formed of such sides.

A
A
с
1. BX is the perpendicular bisector of AC. AB=(4x+17) and BC=(2x+25).
What is the length of AB?
23
33
B
X
C
B
D
29
38

Answers

Answer:

A big load of ice cream mmm.

Step-by-step explanation:

if a fire engine is traveling at 40 miles per hour to a fire that is 6 miles away, how long will it take for the fire engine to reach the fire?

Answers

9 minutes long will it take for the fire engine to reach the fire .

Given :

if a fire engine is traveling at 40 miles per hour to a fire that is 6 miles away .

we know that ,

speed = distance / time

where

distance = 6 miles

speed = 40 miles / hour

substitute

40 = 6 / times

cross multiplication

40 *  time = 6

time = 6 / 40 hours

converting hours to minutes

= 6 / 40 * 60 minutes

= 6 * 6 / 4

= 36 / 4

= 9 minutes

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The temperature in degrees Fahrenheit, ofa warming room is given by the function F (m) = 2m +58, where m is the number of minutes the room has been warming. (a) Find the value of F (8) - F (2). Show or explain how you found your answer.

Answers

The difference between F(8) and F(2) is 12

What are Functions?

A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).

Solution:

Given: Function of Warming Room = F(m) = 2m + 58

To Find: F(8) - F(2)

F(8) = 2*8 + 58 = 16+58 = 74

F(2) = 2*2 + 58 = 4+58 = 62

F(8) - F(2) = 74 - 62 = 12

The difference between F(8) and F(2) is 12

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Given that f(x) = x² + 3, work out the value of:
a) f(6)
b) f(-6)​

Answers

The value of  f(x) = x² + 3 at

(a) f(6) = 39

(b) f(-6) = 39

To work with these functions, we just need to put the value of x in the given function  f(x) = x² + 3  i.e. substituting 6 and -6 into the equation per variable, then solving and simplifying as needed, to get the answer  

(a)  f(x) = x² + 3

      f(6) = [tex]6^{2}[/tex] + 3          

             = 39

Hence, f(6) = 39

(b)  f(x) = x² + 3

     f(-6) = [tex](-6)^{2}[/tex] + 3

             = 39

Therefore, the value of function f(x) = x² + 3 at f(6) and f(-6)​ is the same that is 39.

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-30.32 times 0.85. I don't know what this is

Answers

Answer:

-25.77200

Step-by-step explanation:

George walks around one quarter of a quarter of a circular garden. He walks a total of 30 meters. To the nearest tenth of a meter, what is the radius of the circular garden?

Answers

The radius of the circular garden is 14.3 meters

The radius of a circle:

Any line connecting a circle's center and circumference is said to be the circle's radius. Within a circle, a diameter is equal to the sum of two radii. The area and circumference of a circle are determined using the radius of the circle.

The perimeter of a circle with a radius of r is given by

                            Perimeter = 2πr

Here we have

George walks around one-quarter of a quarter of a circular garden.  

He walks a total of 30 meters.

Let x be the Perimeter or circumference of the circular garden

Given that George walks around one-quarter of a quarter of a circular garden.

=> The length of the path that George walked = x/3

Given that He walks a total of 30 meters

=>  x/3 = 30 meters

=>  x = 90 meters

So we can conclude that circumference of the circular garden = 90 m

As we know Perimeter of the circle = 2πr  

=> 2πr = 90

=>  πr = 45

=> 22/7(r) = 45

=> 22(r) = 315

=> r = 14.318181818181 ≅ 14.3

Therefore,

The radius of the circular garden is 14.3 meters

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HELP PLEASE I NEED THIS AS SOON AS POSSIBLE!!!

Sixteen-year-old Janet has earned money the last few years by babysitting and shoveling snow for neighbors, who pay her in cash which she mostly spends on clothes and snacks. This summer she is applying for her first formal job, and because she’ll be paid by check or direct deposit, her parents are allowing her to open a checking account. Janet is excited, until she does some quick Googling and finds out she can’t legally open an account until she’s 18. She finds these other options:

Joint accounts

Custodial accounts

Education

Prepaid Cards


Answer This:

Which of these four banking options is probably best for Janet? Why?


Now that Janet knows her parents will need to be somewhat involved in her bank account, what questions or concerns should she raise with them before they open an account?

Answers

The best option for Janet will be to open an educational account.

The basic structure of student bank accounts is frequently the same as that of the institution's standard offerings, with adjustments made for students' typically lower amounts.

These organisations may remove maintenance fees or minimum balance requirements, provide free ATM withdrawals, offer budgeting apps or programmes, or even waive fees altogether because students are still learning how to manage their finances and navigate their daily financial lives.

Some benefits of educational account is

Interactive spending and budgeting options, such as the ability to round up and deposit "spare change" from debit card purchasesAccount remains open following graduationOverdraft defense

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If it takes 5 bakers 5 hours to make 5 muffins. How long would it take 100 bakers to make 100 muffins?

Answers

Answer: 100 Hours

Step-by-step explanation:

We know the ratio is 1:1:1

So now the ratio is 100 times so that it will take 100 hours

. question 10 a data analyst wants to find out how much the predicted outcome and the actual outcome of their data model differ. what function can they use to quickly measure this? 1 point cor() bias() mean() sd()

Answers

A data analyst uses bias()  to find out how much the predicted outcome and the actual outcome of their data model differ.

What does a bias meaning?

The act of unfairly favoring or opposing a certain person or item due to allowing your judgment to be influenced by your opinions: The senator charged bias on the part of the media. Journalists must be unbiased and free from political bias.

What is the example of bias?

There is a lack of objectivity in the way we view things. Both intentional and inadvertent biases are possible. When given an option, a person might prefer one shirt over two others if it also happens to be their favorite color.

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if 3 pounds of books cost 3.65
what is the cost of 3.2 pounds of books

Answers

Answer:

$3.90

Step-by-step explanation:

3.65 / 3 = 1.22

1.22 x 3.2 = 3.90

the price of 3.2 pounds of books is 4.36 cents

what are the coordinates of the midpoint of the segment with endpoints A(-3, -2) and C(1,6)
A-(-2,0)
B-(-1,2)
C- -1,1)
D-(0,4)

Answers

Answer:

Step-by-step explanation:

c

What is the (GCF) OF 78?

Answers

You will need to numbers for this problem, the factors of 78 though are 1, 2, 3, 6, 13, 26, 39, and 78.

Answer:Good luck 168

Step-by-step explanation:

Solution: The factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78 . Therefore, the sum of factors of 78 is 168.

a recent study of cardiovascular risk factors reported that 30% of adults met criteria for hypertension. if 15 adults are assessed, what is the probability that a. exactly 5 meet the criteria for hypertension? b. none meet the criteria for hypertension c. how many would you expect to meet the criteria for hypertension?

Answers

On solving the provided question, we got to know that - 40/155 adults will not have hypertension (70%),

How is probability calculated?

The probability is calculated by dividing the total number of outcomes by the total number of possible ways an event may occur. Probability and odds are two different ideas. The chances are calculated by dividing the likelihood that a certain event will occur by the likelihood that it won't.

What is probability?

Probabilities are mathematical explanations of the chance that an event will happen or that a proposition is true. The probability of an occurrence is a number between 0 and 1, where 0 often indicates impossibility and 1 normally indicates certainty.

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What is the circumference of a circle with a radius of 11?

Answers

The circumference of a circle with a radius of 11 is 68.1

The route or boundary that encircles any shape in mathematics is defined by the shape's circumference. In other terms, the circumference is also known as the perimeter, which aids in determining how long a shape's outline is.

The formula to calculate the circumference of a circle is C=2[tex]\pi[/tex]r where r is the radius of the circle.

The problem tells us that r= 11, substituting that in the equation and solving:

C=2[tex]\pi[/tex]r =2[tex]\pi[/tex](11) = 22[tex]\pi[/tex]

The value of [tex]\pi[/tex] is approximately 3.14, putting the value of  [tex]\pi[/tex] in the equation:

C= 22(3.14) = 68.08→ 68.1

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. consider the following situation: janet is examining triangles in her geometry class. all of the triangles janet examined were isosceles. janet concludes that all triangles are isosceles triangles. the type of reasoning janet used in this situation was

Answers

The type of reasoning janet used in this situation was

Inductive reasonings .

What is reasoning ?

In mathematics, reasoning involves drawing logical conclusions based on evidence or stated assumptions. Sense making may be considered as developing understanding of a situation, context, or concept by connecting it with existing knowledge or previous experience.

Why is reasoning in maths important?

Reasoning in maths is the ability to make logical links and connections which help you tackle a new maths problem. The skill of reasoning equips students not only with the ability to say how they will attempt to work out an answer, but why and how they can be sure it will work.

Inductive reasoning is a type of reasoning that draws general conclusions from specific observations .

In this case Janet examines only isosceles traingle ( specific ) and concluded that all triangles are isosceles ( generalised ).

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Determine the perimeter of the right triangle shown.

right triangle with vertices at negative 3 comma 4, negative 3 comma negative 2, and 5 comma negative 2

24 units
10 units
8 units
6 units

Answers

Answer:

24

Step-by-step explanation:

The perimeter of the right triangle shown is 24 units.

What is Perimeter?

Perimeter of any shape is defined as the total length of it's boundary. Perimeter can be calculated if any shape has been extended into its linear form and then measure its total length.

Vertices of the triangle are A(-3, 4), B(-3, -2) and C(5, -2)

Distance between two points (x₁, y₁) and (x₂, y₂) = √[(x₂ - x₁)² + ( y₂ - y₁)²]

Length of AB = √[(-3+3)² + (-2-4)²] = √(-6)² = 6

Length of BC = √[(5+3)² + (-2+2)²] = √(8²) = 8

Length of CA = √[(-3-5)² + (4+2)²] = √(100) = 10

Perimeter of a triangle is the sum of it's three sides.

∴ Perimeter = AB + BC + CA

⇒Perimeter = 6 + 8 + 10 = 24 units

Perimeter of the right triangle with vertices (-3, 4), (-3, -2) and (5, -2) is 24 units.

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in video example 13.1, rebekah, who has tbi, talks about her life since the accident. she says all of the following except are formal work groups that are composed of members from different departments who are brought together in the skills and knowledge of the team members. at each stage of our development, we are both individuals and __________. A well-mixed cookie dough will produce cookies with a mean of 7 chocolate chips apiece. What is the probability of getting a cookie with no more than 4 chips? Roundyour answer to four decimal places For the trait being followed in the pedigree, individuals II-1 and II-4 can be classified as _________A. mutantsB. homozygous dominantC. homozygous recessiveD. carriers Choose the best answer. Which is an energy efficiency improvement? (4) adjusting the thermostat in a building (b) using a power strip (c) using cold water instead of hot water (d) replacing incandescent bulbs with LEDs Brianna is working two summer jobs, making $16 per hour lifeguarding and $11 per hour tutoring. Brianna must earn no less than $130 this week. Write an inequality that would represent the possible values for the number of hours lifeguarding, ll, and the number of hours tutoring, tt, that Brianna can work in a given week. Can someone help with this The mountain goats are strong..... for running up the rocky ... What is the volume of a box that is 14 inches long,7 inches wide, and 10 inches high? A(n) ______ is a stretch of DNA consisting of an operator, a promoter, and genes for a related set of proteins, usually making up an entire metabolic pathway. write a binary fraction that is an approximation to the decimal fraction 0.2. (use a zero before the binary point and four places after it) according to maitland, if labor in developing countries is made more expensive, then what is also likely? Amy decided to live at home while going to college how much would she save each month? An assumption made about the value of a population parameter is called a A. confidenceB. hypothesisC. significance D. normal curve indicators that the local currency is also the functional currency include all of the following except: Given the vector u equal to 7 (cos 330, sin 330) and vector v equal to4 (cos 90, sin 90), find the sum u + v and write your answer in magnitude anddirection form with the magnitude rounded to the nearest tenth and the directionrounded to the nearest degree, 0 0 < 360. Which of the following could be used to support the argument that reading for twenty minutes every day improves your reading? Select the two correct answers.(1 point) Responses Teachers claim practicing math for 20 minutes every night also improves math skills. Teachers claim practicing math for 20 minutes every night also improves math skills. Children who read 5 or less minutes a day are more likely to score lower on reading tests. Children who read 5 or less minutes a day are more likely to score lower on reading tests. Children who are read to every night are happier. Children who are read to every night are happier. Going to the library once a week can help children fall in love with books. Going to the library once a week can help children fall in love with books. Reading for 20 minutes every day exposes students to nearly 1.8 million words each school year. captive breeding in zoos has been used to save some species form the brink of extinction what are some issues asscoicates with using Joe Jan wants to receive $22,000 each year for the next 22 years. Assume a 6% interest rate compounded annually. How much must Joe invest today? (Round your answer to the nearest cent.)