2. At the American Kennel Club, there are 36 dogs entered in a show where there will be a first place award, a second place award, and a third place award. How many possibilities are there for these awards?

Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

A Type I error occurs when the null hypothesis is rejected, even though it is true.

In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.

Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.

This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.

So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

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It should be noted that to write a system of equations in standard form, you need to express each equation in the form Ax + By = C, where A, B, and C are constants and x and y are variables. The steps are given below.

Here are the steps to follow:

Rewrite each equation in standard form by moving all the variables to one side and all the constants to the other side.

Make sure that the coefficients of x and y are integers and, if possible, that they have a greatest common factor of 1. If the coefficients have a common factor, divide both sides of the equation by that factor to simplify the equation.

Arrange the equations in standard form in a matrix form. You can write the matrix form by lining up the coefficients of x, y, and the constants in a matrix.

Finally, you can also represent the system of equations in standard form using variables and constants.

This is the standard form of a system of linear equations.

Note that an overview was given since your information is incomplete.

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Answer:

(A) the subtraction property of equality

Step-by-step explanation:

Given

The steps in the question

Require

Justify step 2 to 3

Write out step 2:

\(-4x+9 = 2x+10\)

Apply subtraction property by subtracting 2x from both sides

\(-4x-2x+9 = 2x-2x+10\)

\(-6x+9 = 10\)

Notice that the above equation is represented in step 3.

Hence, option A answers the question.

A. the subtraction property of equality

Answer:

easey, sub them

(x,y)

see if true

(0,1), 2(0)+1>-4, 1>-4, true

(4,-12), 2(4)+-12>-4, 8-12>-4, -4>-4, false

(5,-12), 2(5)+-12>-4, 10-12<-4, -2>-4, true

(-1,-1), 2(-1)+-1>-4, -2-1>-4, -3>-4, true

(-3,0), 2(-3)+0>-4, -6>-4, false

answers are

(0,1)

(5,-12)

(-1,-1)

Hopefully that helped you a little bit :)

Answer:

failure to correctly define the problem

Step-by-step explanation:

He changes the menu without identify that the real problem was the service.

========================================================

Work shown:

SA = surface area of the cube

SA = 6x^2 .... where x is the side length

SA = 6*7^2 .... replace x with 7

SA = 6*49

SA = 294 square inches

Solution

For this case the total of buttons are:

30 +40 + 50 = 120

Then we can find the probability of being blue is given by:

p = 40/120= 1/3

The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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Answer:

Average rate of change = 4/3

Step-by-step explanation:

We have to calculate the average rate of change of the graph at x = 2 to x = 5.

From the graph attached,

At x = 2,

f(2) = 3

At x = 5,

f(5) = 7

Since, average rate of change of the function between x = a and x = b is defined by,

Average rate of change = f (b)-f (a) / b - a
                                         

Therefore, average rate of change of the function represented by the graph will be =7-3/5-2

          = 4/3

Answer:

They tend to be way more efficient.

Step-by-step explanation:

They are generally powerful and can carry things for long distances, Plus they don't cost a lot to repair.

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

According to this author, the stories about Nancy Hart  

✔ likely have some basis in truth

.

As a result, they are  

✔ very important

to the study of Georgia’s past

Step-by-step explanation:

I just took it on Edge 2020

Answer:

x < 41/230

Step-by-step explanation:

5x x 46 < 41

230x < 41

Using arithmetic operations it is obtained that there were approximately 76 female animals in the herd.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

If 32% of the animals were males, then 100% - 32% = 68% of the animals were female.

To find the number of female animals in the herd of 112 animals, multiply the total number of animals by the percentage that were female -

68% = 68/100 = 0.68

Number of female animals = 0.68 x 112

Number of female animals = 76.16

Rounding this to the closest whole number gives -

Number of female animals ≈ 76

Therefore, the number of female animals is 76.

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Answer:

x = 28

Step-by-step explanation:

Here's my work,

\(1/4x + 17 = x -4\)

So what to do first, we add 4 on both sides like so...

1/4x + 17 = x -4

      +4         +4

1/4x + 21 = x

Now to simplify, and isolate the variable.

1/4x + 21 = x

-1/4x         -1/4x

21 = .75x

Here we can finally divide. 21/.75 is 28 and .75x/.75 is x that means we are left with,

28 = x

If you need me to go over it again let me know! Hope this helps and have a great day!

Answer:x=28

Step-by-step explanation:that is the answer

Answer:

18

Step-by-step explanation:

sigiuwhfcoiuwhdcviuwfdbv

Answer:

18 I think I did it on Time4learning

Step-by-step explanation:

Step-by-step explanation:

this is similar to the complete approach to find the midpoint. just instead of 1/2 we are looking for 3/10 of the distance.

the general approach is

A + (B - A)×factor

factor can be 1/2 or 3/10 or 7/10 or 24/29 or ...

so, we have

(-3, -6) + ((9 - -3)×3/10, (5 - -6)×3/10) =

= (-3, -6) + (12×3/10, 11×3/10) =

= (-3, -6) + (3.6, 3.3) = (0.6, -2.7)

the point 3/10 of the way from A to B is

(0.6, -2.7)

The option with the number line from negative 3 to 3 and an open circle at negative 5 with a bold line pointing to the left is also not correct, as negative 5 is not relevant to the inequality.

The correct representations of the inequality –3(2x – 5) < 5(2 – x) are:

-6x + 15 < 10 - x

-5x < -5

x > 1

Therefore, the correct options are:

x > 1

-6x + 15 < 10 - x

The option with the number line from negative 3 to 3 and an open circle at 5 with a bold line pointing to the right is not correct, as 5 is not a solution to the inequality, and the direction of the line should be pointing to the left. The option with the number line from negative 3 to 3 and an open circle at negative 5 with a bold line pointing to the left is also not correct, as negative 5 is not relevant to the inequality.

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The four winning numbers are 24, 32, 27 and 37 respectively

It is important to note the following;

From the information given;

a. First number =  square root of 576

This is represented as

First number = √576

First number = 24

b. Second number =  multiple of 8 between 30 and 39

Second number = 32

c. Third number =  cube of 3

This is represented as;

Third number =  3³

Third number =  37

d. largest prime number less than 40

Fourth number = 37

Hence, the numbers are 24, 32, 27 and 37

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The maximum profit is $2492.08.

What is the selling price?

The cost a consumer pays to purchase a good or a commodity is known as the selling price. It is a price that is higher than the cost price and includes a profit margin. The cost of an item when acquired is referred to as its selling price (S.P.).

Here, we have

Given: A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation.

y = -3x² + 239x - 2268

At a maximum profit, dy/dx = 0, hence:

dy/dx = -6x + 239

0 = -6x + 239

x = 239/6

x = 39.8

The maximum profit is gotten when the selling price of each widget is 39.8. Hence:

y = -3(39.8)² + 239(39.8) - 2268

y = 2492.08

Hence,  the maximum profit is $2492.08.

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The equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power is option B

(5/8)^-1 × (0.42)^2

= {1 ÷ (5/8)¹} × 0.42²

= {1 × (8/5)¹} × 0.42²

= (8/5)¹ × 0.42²

Therefore, the equivalent expression is eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power

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Answer:

(1.6) (0.42)^2 C

Step-by-step explanation:

I had originally put B, but my teacher explained and said its C.

the first part of b is correct where it says 8/5, bc you need to flip it in order to not have a negative exponent (you cant have a negative exponent as an answer) but 0.42 is correct and iit does not need to be fliped, since there is no (8/5)(0.42)^2 option, you need to make the 8/5 into a decimal, it becomes 1.6 and so the answer is C

Answer:

GARDEN = 9 years

TREE = 99 years

Step-by-step explanation:

the following equation can be derived from the question

age of oak tree = 11x

age of garden = x

11x + x = 108

12x = 108

x = 9

oak tree = 11 x 9 = 99

The expected value of a $2 ticket is $0.63

To calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:

The Probability of winning the grand prize = 1/2000

Product: (1/2000) x $500 = $0.25

The Probability of winning a secondary prize: 3/2000

Product: (3/2000) x $200 = $0.30

The Probability of winning a third level prize: 8/2000

Product: (8/2000) x $20 = $0.08

The sum of the products:

$0.25 + $0.30 + $0.08 = $0.63

So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.

The charity is expected to make a profit, which is why the answer is negative.

That is -$2 + $0.63 = -$1.37

So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)

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Answer:

13=2a+2b+c

Step-by-step explanation:

The product of terms 2 and the associated variable, is the result of double the variable. For example, a(2)= 2a.

The equation (specifically the expression and its terms on the right) cannot be simplified furthermore as there are no like terms that are able to be combined.

-Hope this helps.

Answer:

P=0.071429

Step-by-step explanation:

1) if the first member of team needed is already choosen and this is a girl, then the rest members are 4 boys and 4 girls. The rest 3 positions should be choosen from that 8 persons;

2) according to the condition 3 boys should be choosen from the rest team members, but there are 4 boys+4girls. The required probability can be written as

\(P=\frac{C^3_4}{C^3_8};\)

3) finally,

\(P=\frac{C^3_4}{C_8^3}=\frac{4*3!*5!}{8!}=\frac{1}{14}=0.07142857142857142857142857142857;\)

⇔ P=0.071429.

P.S. if it is possible, check the suggested solution in other sources.

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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Answer: 2500

Step-by-step explanation: If you calculate out 5x6 that equals 30 and 5x5-5 equals 20, when you do 30+20 that equals 50 and 50 to the 2nd power is 50x50 and that would equal 2500

Answer:

I think the answer is 96%.

Answer:

If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? the bill would be $27.31, after the tip, $32.24, meaning the tip would be $4.93, and that percentage would be %18.05

Step-by-step explanation:

8 percent of 25.30 is 2.01, add that up, 27.31, subtract 27.31 from 32.24, you get 4.93, figure out the percentage and boom, you got your answer

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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3 pieces each students shared equally by 4 students.

Cut each construction paper into fourths.(please see the attached image)

They each get 3 fourths of a construction paper.  

By cutting three pieces of construction paper into fourths, we created 12 pieces of construction paper to divide to 4 students.

12/4 = 3 pieces each.

Hence, 3 pieces each students share.

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