A group of friends wanted to compare their average running speeds. They recorded the distance and amount of time each person ran one Saturday morning.

Select all the runners whose speeds are in a proportional relationship with each other.

Answers

Answer 1
Final answer:

To determine if the speeds of the runners are in a proportional relationship, compare the ratios of their distances to their times.

Explanation:

In order for the speeds of the runners to be in a proportional relationship, their rates of covering distance should be consistent. In other words, the ratios of their distances to their times should be the same or equal.

For example, if Runner A ran 5 miles in 1 hour, and Runner B ran 10 miles in 2 hours, their speeds would be proportional because the ratio of distance to time is the same (5/1 = 10/2 = 5).

So, to determine which runners have proportional speeds, compare the ratios of their distances to their times and see if they are equal.

Learn more about Proportional relationship here:

https://brainly.com/question/29765554

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Answer 2

Final answer:

Runners whose speeds are in a proportional relationship with each other are those who have the same average speed when the distance they run is divided by the time it took them. To find this, we use the average speed formula, which helps compare runners not only on an individual level but also in terms of speed fractions and distributions.

Explanation:

To determine which runners have speeds in a proportional relationship with each other, we need to use the concept of proportional relationships and the formula for average speed, which is calculated by dividing the distance by the time. If the ratio of distances to times for two runners is the same, then their speeds are proportional. For example, Runner A covering a distance of 10 miles in 2 hours and Runner B covering 5 miles in 1 hour both have an average speed of 5 miles per hour, which shows a proportional relationship.

Relating this to the details provided about the runners, for any pair of runners to have speeds that are in a proportional relationship, their speeds must be consistent or equivalent when calculated. The speed in miles per hour can be found by dividing the recorded distances by the recorded times. If multiple runners have the same result when distance is divided by the time, they are in a proportional relationship with each other in terms of speed.


Related Questions

Sole by substitution.
-3x+2y=16
X-2y=-12

Answers

Answer: (-2,5)

Step 1: Rewrite equations

-3x+2y=16

x-2y=-12

Step 2: Changing the second equation

With substitution, you have to already have the equation to solve for the specific variable (ex: x=y+1;y=x+1). Since the equation doesn’t give us one, we can flip the second equation to give us this.

Let’s add 2y on both sides.

x-2y=-12
+2y +2y
_________
x=2y-12

Now we have the equation to solve for x!

Step 3: Substituting

Now we need to substitute x into the first equation. Let’s do this now.

-3(2y-12)+2y=16

Step 4: Solving for y

-3(2y-12)+2y=16

*distribute*

-6y+36+2y=16

*combine like terms*

-4y+36=16

*subtract 36 on both sides*

-4y=-20

*divide both numbers by -4*

y=5

This is y! Now we need to solve for x.

Step 5: Solving for x

To find x, let’s just substitute y into the equation and solve

x=2y-12

x=2(5)-12

x=10-12

x=-2

Step 6: Ordered pair

(X,y) —> (-2,5)


This is your answer! Hope this helps comment below for more questions :)

Answer:

For the given equations the values of x and y by using substitution method are  [tex]x=1[/tex]  and [tex]y=\frac{13}{2}[/tex]

Step-by-step explanation:

Given system of equations are

[tex]-3x+2y=16\hfill (1)[/tex]

[tex]x-2y=-12\hfill (2)[/tex]

Solve the given equations by substitution method:

Now (2) implies

[tex]x-2y=-12[/tex]

[tex]x=-12+2y\hfill (3)[/tex]

Now substitute the x value in equation (1)

[tex]-3x+2y=16[/tex]

[tex]-3(-12+2y)+2y=16[/tex]

[tex]36-6y+2y=16[/tex]

[tex]36-4y=16[/tex]

[tex]-4y=16-36[/tex]

[tex]y=-(\frac{-26}{4})[/tex]

[tex]y=\frac{26}{4}[/tex]

Therefore  [tex]y=\frac{13}{2}[/tex]

Now substitute the y value in equation (3)

[tex]x=-12+2y[/tex]

[tex]x=-12+2\times \frac{13}{2}[/tex]

[tex]x=-12+13[/tex]

[tex]x=1[/tex]

Therefore [tex]x=1[/tex]  and [tex]y=\frac{13}{2}[/tex]

ratio of girls to boys at a movie is 5:7 if there are 28 boys how many girls are at the movie?

Answers

For every 7 boys there are 5 girls.

Divide the number of boys by the ratio for boys: 28 / 7 = 4

Now multiply that by the ratio for girls:

4 x 5 = 20

There are 20 girls.

Rebecca has a monthly plan that charges her $45.50 each month for unlimited talk and text. For each gigabyte of data that she uses, she has to pay an additional $5.25. If the cost of her bill is represented by variable C and the number of gigabytes is represented by the variable g, write an equation that represents this situation.

Answers

Answer:

C = $5.25g + $45.50

Step-by-step explanation:

The $45.50 is her monthly bill and does not change. The additional fee determines on the amount of gigabytes she used which is undetermined, using the variable g. It cost $5.25 per gigabyte. C is her total/the bill.

Answer:

C = $5.25g + $45.50

Step-by-step explanation:

Mark bought 8 bags of sand, each weighing 25 lb, for $1.68/bag. One bag ripped and he lost all the sand. What was his true price per pound of sand?

Answers

Answer:

4.80 rounded

Step-by-step explanation:

AA cash register has only one-dollar bills and five-dollar bills, and no change. There are $6$6 times as many one-dollar bills as five-dollar bills. The total amount in the cash register is $231.

Answers

Answer:

There are 126 $1 bills and 21 $5 bills.

Step-by-step explanation:

Given,

Total cash Amount = $231

Solution,

Let the number of $1 bill be 'x'.

And  the number of $5 bill be 'y'.

Now according to question, one-dollar bills is six times of five-dollar bills.

So, we can frame it in equation form as;

[tex]x=6y[/tex]   ⇒ equation 1

Again according to question, there is only one-dollar bills and five-dollar bills, and no change.

That means the total cash amount is in the form of $1 and $5.

So, we can frame the above sentence in equation form as;

[tex]1\times x+5\times y=231\\\\x+5y=231[/tex]⇒ equation 2

Now substituting the value of x in equation 2, we get;

[tex]6y+5y=231\\\\11y=231\\\\y=\frac{231}{11}=21[/tex]

So, [tex]x=6y=6\times 21=126[/tex]

Hence There are 126 $1 bills and 21 $5 bills.

How many 10s are in a 20​

Answers

Answer:

2

Explanation:

Another way to write this is:

20 ÷ 10

2 whole tens go into 20.

20 ÷ 10 = 2

Answer: 2

This question is asking you to divide 20 by 10. This means:

20 ÷ 10=2

If 10 can go into a number 2 times, it means that 10•2=20. So, since we dont know how many times 10 goes into 20, we divide 20 by 10.

Below I have attached an image of the long division in case you need to do that as well.

Hope this helps comment below for more questions :)

Anna baked
3
33 batches of cookies with
c
cc cookies in each batch. She then ate
8
88 cookies!
How many cookies does Anna have left?
Write your answer as an expression.

Answers

Answer:

expression for cookies  Anna have 3c- 8

Step-by-step explanation:

Given:

Number of cookie batches Anna baked = 2

Number of cookies in each batch = c

Number of cookies Anna ate  = 8

To Find:

An expression representing the number of cookies left with Anna

Solution:

Let the expression representing the number of cookies left with Anna be y

First let us find the total number of cookies Anna baked

She baked 3 batches of cookies and each batch had c cookies in it

So,

Total number of cookies Anna baked =  number batches X Number of cookies in each batch

=>[tex]3 \times c[/tex]

=> 3c

Now Anna ate 8 from 3c cookies, so she will be left with

=>3c-8 cookies

So , y = 3c- 8

Harry is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $15 for the meal, plus $4 per pound for the lobster he picks. At the second restaurant, Harry would pay $3 per pound for the lobster, in addition to $38 for the meal. Harry realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. How much would Harry pay for his dinner? What is the weight?

Answers

Answer:i’m not sure but i think it’s around 10-11 for per pound for the lobsters.

Step-by-step explanation:

15$ + 4per lobster = 19$ and 38$+$3=41 so it should be around that amount of 22

he would pay $107

and it would weigh 23 pounds

Step-by-step explanation:

15+4p=x

38+3p=x

15+4p=38+3p

subtract 3p from both sides

15+p=38

subtract 15 from both sides

p=23

15+4(23)=107

38+3(23)=107

A store sells notebooks for $3 each and does not charge sales tax. If x represents the number of notebooks Adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y?

Answers

Answer:

The value of x will be an interger above or equal to 0. The value of y will be a interger equal or above 0.

Step-by-step explanation:

You can never buy a negative amount of books (x). You can only spend a positive amount of money. So even if she did not buy a book it would be 0, never under it.

Answer: it's the 2nd one

Step-by-step explanation: The value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0

Complete each of the ratios on the table show calculations

Answers

Answer:

From left to right:

2, 4, 32

Step-by-step explanation:

Using the one column which is completed, determine the ratio of yellow to blue by reducing to lowest terms.

yellow to blue = 8 to 16

8 and 16 are both divisible by 8. 8/8 = 1 and 16/8 = 2

8 to 16 = 1 to 2

This means there is half as much yellow paint as there is blue paint. If said backwards, there is double the amount of blue paint as there is yellow paint.

In the first two columns, yellow paint is blue paint divided by 2.

4/2 = 2

8/2 = 4

In the last column, blue paint is yellow paint times 2.

16 X 2= 32

All of the ratios yellow to blue are:

2 to 4

4 to 8

8 to 16

16 to 32

2/9x+5=2/3

I have to rewrite the equation so it doesn’t have a fraction

Answers

Answer:

2x + 45 = 6

Step-by-step explanation:

(2/9)x + 5 = 2/3                        Subtract 5 from both sides

(2/9)x +5-5=2/3-5

(2/9)x = - 4 1/3                          Multiply by 9

2x = -13/3 * 9

2x = -39

x = -19.5

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

I see. You don't want it solved. Multiply by 9 to clear the fractions.

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

2x + 45 = 6

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

Solve it now. It should be easier.

2x = 6 - 45

2x = - 39

x = -19.5

how does this polynomial identity work on numerical relationships?
(y + x) (ax + b)

Answers

Answer:

Let us take 'a' in the place of 'y' so the equation becomes

(y+x) (ax+b)

Step-by-step explanation:

Step 1:

(a + x) (ax + b)

Step 2: Proof

Checking polynomial identity.

(ax+b )(x+a) = FOIL

(ax+b)(x+a)

ax^2+a^2x is the First Term in the FOIL

ax^2 + a^2x + bx + ab

(ax+b)(x+a)+bx+ab is the Second Term in the FOIL

Add both expressions together from First and Second Term  

= ax^2 + a^2x + bx + ab

Step 3: Proof

(ax+b)(x+a) = ax^2 + a^2x + bx + ab

Identity is Found .

Trying with numbers now

(ax+b)(x+a) = ax^2 + a^2x + bx + ab

((2*5)+8)(5+2) =(2*5^2)+(2^2*5)+(8*5)+(2*8)

((10)+8)(7) =(2*25)+(4*5)+(40)+(16)

(18)(7) =(50)+(20)+(56)

126 =126

If 3 boxes can hold 27 books, how many boxes can hold 108 books?

Answers

1 box holds 9 so u divide 108 by 9 to get 12.

U can also multiply 3 and 27 until u get 108.  First divide 108 by 27 and get 4. so u then multiply 4 times 3 to get 12.

Answer:

Step-by-step explanation:

No of books that 3 boxes can hold = 27 books

No of boxes required =(3/27) * 108 = 3*108 / 27 =  3 *4 = 12

12 boxes are required

Help solving this math

Answers

Answer:

Rank 1 - plane.

Rank 2- line.

Rank 3- point.

Step-by-step explanation:

Here,  I have given the ranks based on what includes what.

Rank 1 is given to plane because infinite lines together makes a planes

and infinite points together makes a line.

so, Rank 1 includes both Rank 2 and Rank 3.

Now, Rank 2 is line because it consists of infinite number of points together

and is used to form a plane.

Rank 3 is point as it is the basic thing for any line or plane

See, it is simple, group of points make a line and group of lines make a plane.

visualize it this way,

When you zoom too in a plane, you see a line and when you zoom too in a line, you see a point.

Myra is evaluating the expression –31.7 + 4.5x, when x = 2.1.

    –31.7 + 4.5(2.1)

    –27.2(2.1)

    –57.12

What was Myra’s error?

Answers

Answer:

-22.25

Step-by-step explanation:

-31.7+4.5(2.1)

-31.7+9.45

-22.25

Myra didn’t follow the order of operations (sometimes referred to as PEMDAS, GEMDAS, or BODMAS); she should have multiplied the 4.5 and 2.1 before adding the -31.7

hope this helped!

A function has an input of -6. What is the output if the function rule is y = 2x - 1?

Answers

A function has an input of -6. The output of function is -13

Solution:

Given that function has a input of -6

To find: output of function

Given function rule is y = 2x - 1

The input of the function is "x" and output of function is "y"

By substituting the given input value of "x" in the function rule, we will get the output of function

y = 2x - 1

Plug in x = -6 in above function rule

y = 2(-6) - 1

y = -12 - 1

y = -13

Therefore the output of function is -13

seven friends have a similar cell phone plan

Answers

Cool i don’t know this isn’t really not a question
This is not a question. Please give us a question or a statement we can prove to be true or false

Four friends Ram, Mohan, Ajay and Sanjay are playing in a rectangular playground. Ram suggested his friends to get the position by keeping a stone in the middle of the park and he told the stone is the origin for their position. Now, they got the position of all four friends as (– 4, – 2), (– 3, – 5), (3, – 2) and (2, 3). Mohan claimed that their position will form a quadrilateral if taken in order. Ajay and Sanjay are now trying to calculate the area of the quadrilateral formed by their position if taken in order. How much area they calculated.

Answers

The area calculated by them is 21.

Step-by-step explanation:

The given points are (-4,-2),(-3,-5),(3,-2) and (2,3).

The area of the quadrilateral:

A= [tex]\frac{(x1 y2+x2y3+x3y4+x4y1)-(x2y1+x3y2+x4y3+x1y4) }{2}[/tex].

From the given points,

A=[tex]\frac{(20+6+9-4)-(6-1-4-12) }{2}[/tex]

A=[tex]\frac{(31)-(-11) }{2}[/tex]

A= [tex]\frac{42}{2}[/tex]

The area of the quadrilateral = 21.

Answer:

The are is 28

Step-by-step explanation:

Given:

Point 1:  (– 4, – 2)

Point 2: (– 3, – 5)

Point 3: (3, – 2)  

Point 4: (2, 3)

then, the coordinates of the first point are x1 = -4, y1 = -2; of the second point x2 = -3, y2 = -5; and so on.

We can compute the area of the quadrilateral with the  shoelace formula as follows:

area = 1/2 * |x1*y2 + x2*y3 + x3*y4 + x4*y1 - x2*y1 - x3*y2 - x4*y3 - x1*y4 |

area = 1/2 * |(-4)*(-5) + (-3)*(-2) + 3*3 + 2*(-2) - (-3)*(-2) - 3*(-5) - 2*(-2) - (-4)*3 |

area = 1/2 * 56 = 28

Subtract these polynomials.
(2x2 + 4x + 3) - (4x2 - 2x-3) =
O A. - 2x2 + 2x+0
O B. 6x2 + 6x + 6
O C. 6x2+2x+ 0
O D.-2x2+68+6

Answers

Answer:

B.   -2x2 + 6x + 6.

Step-by-step explanation:

(2x2 + 4x + 3) - (4x2 - 2x-3)   Distribute negative over the parentheses:

= 2x2 + 4x + 3 - 4x2 + 2x + 3

= 2x2 - 4x2 + 4x + 2x + 3 + 3

=  -2x2 + 6x + 6.

Final answer:

The correct answer to the polynomial subtraction question is D. -2x^2 + 6x + 6, obtained by changing the sign of each term in the second polynomial and then combining like terms.

Explanation:

To subtract the given polynomials, we remove the parentheses and change the sign of each term in the second polynomial before combining like terms:

(2x2 + 4x + 3) - (4x2 - 2x - 3)

= 2x2 + 4x + 3 - 4x2 + 2x + 3

Now, combine like terms:

(2x2 - 4x2) + (4x + 2x) + (3 + 3)

= -2x2 + 6x + 6

The correct answer is D. -2x2 + 6x + 6.

THE GRINCH FOUND THE STRENGTH OF
2x6x3) ÷4+1 GRINCH'S PLUS TWO​

Answers

Answer: 2x6x3=36 divided by 4=9+1=10.

Final answer:

The expression (2x6x3) ÷ 4 + 1 Grinch's plus two is solved using the order of operations, giving a result of 10 plus two Grinch's, symbolized as 10 + 2G.

Explanation:

The question is a basic arithmetic problem that involves both multiplication and addition within parentheses, followed by division and then more addition.

The order of operations, often abbreviated as PEMDAS - which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right) - must be followed to solve the expression correctly.

Let's solve the expression step by step:

First, handle the expression within the parentheses: (2x6x3), which is multiplication. So, 2 times 6 equals 12, and 12 times 3 equals 36.Now, divide the result by 4: 36 ÷ 4 equals 9.Finally, add 1 to the result of the division: 9 + 1 equals 10.Add the last element of the expression, which is two Grinch's. Since we're not given a numerical value for a Grinch, let's symbolize it as 'G'. Therefore, if one Grinch is 'G', two Grinch's would be '2G'.

The final answer is 10 plus two Grinch's, which we write as 10 + 2G.

(Score for Question 1: ___ of 5 points)

1. In a candy shop, jellybeans which sell for $2.50 a pound are mixed with skittles which sell for $4 a pound to form a jellybean-skittles mix that sells for $3.50 a pound. How much of each are used to make 30 pounds of the mixture?


(a) Write a system of linear equations that models this situation.

(b) Use the substitution or elimination method to solve for how many pounds of jellybeans and how many pounds of skittles are used to make the 30-pound mixture.

Hint:

Equation one will represent that jellybeans and skittles will equal a total amount of pounds.

Equation 2 will represent that cost of each individual component (added together) equal the total cost of a 30-pound mixture.

Answer:

(Score for Question 2: ___ of 5 points)

2. Sam and Kevin both worked hard over the summer. Together they earned a total of $425. Kevin earned $25 more than Sam.

(a) Write a system of equations for the situation. Use s for the amount Sam earned and k for the amount Kevin earned.

(b) Solve the system of equations.

Answer:

3. (Score for Question 3: ___ of 5 points)

Solve the system of equations by substitution.


6 = −4x + y

−5x − y = 21


Answer:


Solve the system by the elimination method.


2x + y = 20

6x – 5y = 12


Answer:


please help me immediately please!!! whoever answers this gets marked brainliest

Answers

Answer:

The separated values of x and y from the given equation is [tex]x=\frac{13-3y}{4}, y=1-\frac{4}{13}x[/tex]

Step-by-step explanation:

Given equation is [tex]4 x+3y=13[/tex]

Now to find the separated values of x and y with the given equation.

Now find the value of x and so we have to separate the value x from the given equation

[tex]4x+3y=13[/tex]

[tex]4x=13=3y[/tex]

[tex]x=\frac{13-3y}{4}[/tex]

Therfore [tex]x=\frac{13-3y}{4}[/tex]

Now find the value of y and so we have to separate the value y from the given equation

[tex]4x+13y=13[/tex]

[tex]13y=13-4x[/tex]

[tex]y=\frac{13-4x}{13}[/tex]

[tex]y=\frac{13}{13}-\frac{4x}{13}[/tex]

[tex]y=1-\frac{4}{13}[/tex]

Therefore [tex]y=1\frac{4}{13}x[/tex]

The separated values of x and y from the given equation is

[tex]x=\frac{13-3y}{4}, y=1-\frac{4}{13}x[/tex]

simplify (5^x+2-5^x)/5^x×4

Answers

Answer:

6

Step-by-step explanation:

The given expression is,

[tex]\frac{5^{x+2}-5^x }{5^x\times4}[/tex]

Now, we know that,

[tex]a^{m+n} = a^m . a^n[/tex]

Then,

[tex]5^{x+2}=5^x . 5^2[/tex]

So,

[tex]\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5^x.5^2-5^x}{5^x\times4}[/tex]

Now, taking [tex]5^{x}[/tex] common from the numerator of the given expression, then

[tex]\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5^x(5^2-1)}{5^x\times4}[/tex]

[tex]\implies\frac{5^{x+2}-5^x }{5^x\times4}=\frac{5^2-1}{4}[/tex]

[tex]\implies\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5\times5-1}{4}=\frac{25-1}{4}[/tex]

[tex]\implies\frac{5^{x+2}-5^x}{5^x\times4}=\frac{24}{4}=6[/tex]

So, the simplified form of the given expression gives the result 6.

If 16 is added to 1/3 of a number the result is 3 times the number what is the number?

Answers

Answer: The number is 6

Step-by-step explanation:

Let the number be x,

1/3 of the number is the same as 1/3 of x , so from the first statement , we have

16 + [tex]\frac{1}{3}[/tex]x = 3x

Multiplying the equation through by 3 , we have

48 + x = 9x

48 = 9x - x

48 = 8x

divide through by 8

therefore :

x = 6

Therefore : the number is 6

If half the positive difference between 4.81 and 2.25 is multiplied by 0.32, what is the result?

Answers

Answer:0.4096 (Zero and Four Thousand Ninety-Six Ten Thousandths.)Step-by-step explanation:

The distance between 4.81 and 2.25 is 2.56.

Divide 2.56 by 2.

2.56 / 2 = 1.28.

Then multiply 0.38 by 1.28.

128 x 32 = 4096, then move the decimal 4 times to the left.

4096.

The decimal is behind the 6, you need to move the decimal in front of the 4.

Therefore, your result is 0.4096.

Paul brought and sold a computer .he wrote his business activity as followers cost price of computer =$1064 marked price of computer =$1399 discount on marked price =5%

Answers

Answer:

Profit = $265.04.

Selling price = $1329.05

Step-by-step explanation:

Paul brought a Computer at a cost price of $1064.

Now ,

The marked price of the computer is given as $1399.

Also,

He is giving a total discount of 5% on  the marked price of the computer i.e., $1399.

So, The selling price of computer will become 95 percent of $ 1399 which equals  $1329.05.

Thus Paul sold the computer at a profit of $1329.05 - $1064

= $265.04.

Answer:

A) selling price of computer is $1329.05

B) Profit is $265.05

C) Profit percentage = 24.9%

Step-by-step explanation:

Given as :

The cost price of computer = c.p = $1064

The marked price of computer = m.p = $1399

The marked percentage discount = d = 5%

Let The selling price of computer = s.p

Now, According to question

discount% = [tex]\dfrac{m.p - s.p}{m.p}[/tex]

Or, d% =  [tex]\dfrac{m.p - s.p}{m.p}[/tex]

Or, 5% =  [tex]\dfrac{1399 - s.p}{1399}[/tex]

Or,  [tex]\dfrac{5}{100}[/tex] = 1 -  [tex]\dfrac{s.p}{1399}[/tex]

Or,  [tex]\dfrac{s.p}{1399}[/tex] = 1 - [tex]\dfrac{5}{100}[/tex]

Or,  [tex]\dfrac{s.p}{1399}[/tex] =  [tex]\dfrac{95}{100}[/tex]

∴  s.p = [tex]\dfrac{95}{100}[/tex] × 1399

Or, s.p = $1329.05

So,The selling price of computer = s.p = $1329.05

Now, Profit = selling price - cost price

or, p = s.p - c.p

Or, p = $1329.05 - $1064

∴ Profit = $265.05

Now, Profit % = [tex]\dfrac{\textrm profit}{c.p}[/tex]

Or, p% =  [tex]\dfrac{\textrm 265.05}{1064}[/tex]

∴  p% = 0.249

i.e p = 0.249 × 100

So, profit percentage = 24.9%

Hence, A) selling price of computer is $1329.05

B) Profit is $265.05

C) Profit percentage = 24.9%    Answer

5. Statistical Literacy What terminology do we use for the probability of

rejecting the null hypothesis when it is true? What symbol do we use for

this probability? Is this the probability of a type I or a type II error?

Answers

Answer:

The correct option is type I error.

Step-by-step explanation:

Consider the provided information.

Type I error is the error occur when we reject the true null hypothesis,

Type II error is the error occur when we fail to reject false null hypothesis.

Now consider the provided information.

The symbol do we use for  this probability is type I error.

Hence, the correct option is type I error.

What is the standard form of this complex number?

1 / (3 - sqrt-4)

A. 3/13 + 2/13i
B. 3/5 + sqrt-2/5
C. 3 - 2i
D. 3 + 2i

Answers

Answer: A

Step-by-step explanation:

The standard form of this complex number is A. 3/13 + 2/13i

=3+2i/9-4(-1)

=3+2i/9+4

=3+2i/13

What is an example of a complex number?

Complex numbers in mathematics. Complex numbers are numbers expressed in the form of a + ib. Here, a and b are real numbers, and "i" is an imaginary number called "iota". The value of i = (√-1). For example, 2 + 3i is a complex number, 2 is a real number (Re), and 3i is an imaginary number.

Complex numbers are numbers that consist of two parts: real and imaginary. Complex numbers are more complex mathematical components such as algebra. They can be applied to many aspects of real life, especially electronics and electromagnetism.

Learn more about complex numbers here: https://brainly.com/question/10662770

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A rectangle has a length of 6 and a width of y + 4. Use the distributive property to write an expression to represent the area of the rectangle.

Answers

Answer:

[tex]\large\boxed{A=6y+24}[/tex]

Step-by-step explanation:

[tex]\text{The formula of an area of a rectangle:}\\\\A=l\times w\\\\l-\text{length}\\w-\text{width}\\\\\text{We have:}\\\\l=6,\ w=y+4\\\\\text{Substitute:}\\\\A=6\times(y+4)\\\\\text{use the distributive property}:\ a(b+c)=ab+ac\\\\A=(6)(y)+(6)(4)\\\\A=6y+24[/tex]

Final answer:

To find the expression that represents the area of the rectangle, use the distributive property. The expression is 6y + 24.

Explanation:

To find the expression that represents the area of the rectangle, we can use the distributive property. The area of a rectangle is given by the formula A = length  imes width. So, for this rectangle, the length is 6 and the width is y + 4. To distribute the 6, we multiply it by both terms inside the parentheses: A = 6(y) + 6(4). This simplifies to A = 6y + 24, which is the expression that represents the area of the rectangle.

BRAINLIEST!!!
Find the probability that a point chosen at random lies in the shaded region.

Answers

Answer:

0.56

Step-by-step explanation:

First, we need to look at the size of the image as a whole. It is 10x10, so it has 100 squares within it.

When counted, there are 56 shaded squares.

This gives us [tex]\frac{56}{100} =0.56[/tex]

the answer is 0.56, because there’s 56 shades squares.

Explanation: there’s 100 squares, 56 are shaded 56/100.

ASAP Need this answer, would appreciate it.

Answers

Answer:

Let's begin by explaining the following:

The magnitude of any number (a charge in this particular case) is the distance this number has from 0 on the number line.

Now, since according physics a distance can never be negative, the magnitude of a number will always be positive. This means the magnitude of these given charges will always be positive, no matter if they are negative, positive or neutral.

Having this clarified, let's answer:

Element A has a charge of +5 and its magnitude is +5

Element B has a charge of -3 and its magnitude is +3

Element C has a charge of 10 and its magnitude is +10

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