Find the perimeter or circumference and area of each figure.

The range from the given table is 9, the population variance is 18.56, and the population standard deviation is 4.30.

Given the value:

xi         10     20      11        17       15     8     7     16       19    15     Total = 138

xi^2    100   400    121   289    225   64   49   256   361   225  Total = 2090

From the above, we get

n =10, ∑xi = 138, ∑xi^2 = 2090

(a) For the range:

Here, the smallest value = 10, and largest value = 19

Therefore, Range = Largest value - Smallest value

Range = 19 - 10 = 9

(b) For population variance:

For mean:

Mean of x = ∑xi/n = 138/10 = 13.8

V (X) = ∑(xi^2)/n - Mean of x^2

= 2090/10 - 13.8^2

= 209 - 190.44

V (X) = 18.56

(c) For population standard deviation:

[tex]SD (X) = \sqrt{VAR(X)}[/tex]

SD(X) = [tex]\sqrt{18.56}[/tex]

SD(X) = 4.30

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Step-by-step explanation:

The range from the given table is 9, the population variance is 18.56, and the population standard deviation is 4.30.

Given the value:

xi 10 20 11 17 15 8 7 16 19 15 Total = 138

xi^2 100 400 121 289 225 64 49 256 361 225 Total = 2090

From the above, we get

n =10, ∑xi = 138, ∑xi^2 = 2090

(a) For the range:

Here, the smallest value = 10, and largest value = 19

Therefore, Range = Largest value - Smallest value

Range = 19 - 10 = 9

(b) For population variance:

For mean:

Mean of x = ∑xi/n = 138/10 = 13.8

V (X) = ∑(xi^2)/n - Mean of x^2

= 2090/10 - 13.8^2

= 209 - 190.44

V (X) = 18.56

(c) For population standard deviation:

SD (X) = \sqrt{VAR(X)}SD(X)=

VAR(X)

SD(X) = \sqrt{18.56}

18.56

SD(X) = 4.30

Answer:

below

Step-by-step explanation:

$ 5.25 /hr * 32.5 hr   *  .77 =  131.38 dollars

Using the triangle rule, the option B can form a triangle.

In the given question,

We have to choose the correct segment from the given segment,  which group of segments can form a triangle.

The given options are

A. 3, 10, 14

B. 8, 7, 13

C. 3, 2, 5

D. 20, 7, 13

To check which segment form a triangle we check that sum of two sides is always greater than the third side.

Now checking the first option.

The points is 3,10,14

When we add 3 and 10 we get 13 which is not greater than the 14. So the option A is not form a triangle.

Now checking the second option.

The points is 8,7,13

When we add 8 and 7 we get 15 which is greater than the 13. Similarly when we add 13 and 7 we get 20 which is also greater than the 8. Similarly when we add 8 and 13 we get 21 which is also greater than the 7. So the option B can form a triangle.

Since we get the right answer so we didn't check further option. The way of checking the remaining option is same.

Hence, the option B can form a triangle.

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An equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t

In this question, there was a depth of 10 inches of snow on the lawn when the storm ended and then it started a melting at a rate of 2 inches per hour.

We need to write an equation for S in terms of t, snow representing the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling.

So, the equation would be,

S = 10 - 2t

Therefore,  an equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t

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Answer:

.5 feet away

Step-by-step explanation:

3 divided in half is 1.5

so 2 in  half is .5

hope this helps!

Answer:

3.3

Step-by-step explanation:

Plato(edmentum) users

Answer:B 3 1/4 + (5/8)

D 3 1/4 + (+5/8)

Step-by-step explanation:

Calculation

an expression is the combination of numbers and operators like +, - * or /

If we have any equal sign then it is an equation .

Given expression is :

to find out equivalent expression  we  remove the parentheisis  by multiplying negative inside the parenthesis

Negative  times negative becomes positive

first fraction is positive . So it remains the same

Multiply negative inside the parenthesis . Negative times negative is positive

so, the equivalent expressions are

to get the slope of any straight line, we simply need two points off of it, wait a minute!!!! holy smokes!! the graph already has two points for us, yeahhh, let's use those then

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{5}}} \implies \cfrac{ -7 }{ -5 } \implies {\Large \begin{array}{llll} \cfrac{7 }{ 5 } \end{array}}[/tex]

If Peter were to put one fourth of what he got in his birthday to the bank then peter is putting 10 in the bank

Information given in the problem

Peter got 40 for his birthday

one-fourth of it into his bank to save

The problem requires multiplication of fractions

one fourth means 1 / 4

one fourth of what Peter got is 1/4 * 40

this is calculated as follows

= 1/4 * 40

= 10

Therefore peter have to put 10 into the bank

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Answer: Troy

Step-by-step explanation:

Troy’s equation has a slope of 28, so next you need to calculate Lucy’s slope:   Go up 25, over to the right 1, so the slope is 25.

Troy has a greater slope, so his is steeper.

Answer:

e is 63 degrees

d is 31 degrees

Answer:

18%

Step-by-step explanation:

percentage discount is calculated as

[tex]\frac{discount}{original}[/tex] × 100%

here discount = $50 - $41 = $9 , then

% discount = [tex]\frac{9}{50}[/tex] × 100% = 9 × 2% = 18%

The time taken for the rocket to reach its maximum height is; 2.25 seconds.

The maximum height reached by the toy rocket whose initial velocity is; 72 feet per second is; 88 feet.

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

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Answer:

  (b)  35.5w + 136.45 = 455.95; w = 9

Step-by-step explanation:

You want an equation to determine how many weeks, w, you must babysit to earn $455.95 at the rate of $35.50 each week, having already saved $136.45.

If you earn $35.50 each week for w weeks, your total earnings will be ...

  35.50w

When that amount is added to the amount you already have, $136.45, the sum is ...

  35.5w +136.45

You want that total to be $455.95, which gives you the equation ...

  35.5w +136.45 = 455.95

To solve this 2-step equation, subtract the left-side constant:

  35.5w = 319.50

The second step is to divide by the coefficient of the variable:

  w = 319.50/35.5

  w = 9

Answer:

Im pretty sure its 12,800 bacteria

Step-by-step explanation:

Barry's semester grade point average (GPA). Round to the nearest hundredth is 2.67

The GPA is calculated by following the procedures

the multiplication

credit hour * grade

= 4 * 3 = 12

= 2 * 4 = 8

= 3 * 2 = 6

= 3 * 2 = 6

sum of the products = 12 + 8 + 6 + 6 = 32

sum of credit hour =  4 + 2 + 3 + 3 = 12

The GPA

= sum of the products / sum of credit hour

= 32 / 12 =  2.67

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The length of BD is 6.

Given, a right triangle ABC with an altitude BD.

On using concept of Similarity in triangle ADB and CDB,

AD/BD = BD/CD

9/BD = BD/4

36 = BD²

BD² = 36

BD = 6

So, the length of BD is 6.

Hence, the length of BD is 6.

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The smaller number from the given situation is 16.

Given that, the difference between two whole numbers is 6.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the larger number be x and the smaller number be y.

The difference between two whole numbers is 6.

So, x-y=6

x=6+y --------(I)

Twice the smaller number is 10 more than the larger number.

x+10=2y

x=2y-10 --------(II)

Substitute equation (I) in equation (II), we get

6+y=2y-10

⇒ y=16

Hence, the smaller number from the given situation is 16.

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Answer: 6.16

minus all the values from 30

Answer:

$6.16

Step-by-step explanation:

30-6.97-11.37-5.5

=6.16

The comparison of the equations are

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

-x + 4y = 32

Add x to both sides of the equation

So, we have the following representation

4y = x + 32

Divide through by 4

So, we have

y = 1/4x + 32/4

Evaluate

y = 1/4x + 8

A linear equation is represented as

y = mx + c

Where

Slope = m

As a general rule, linear equations that have the same slope are parallel

This means that the equation y = 1/4x + 1 is parallel to y = 1/4x + 8

Also;

The slopes of perpendicular lines are opposite reciprocals

This means that the equation 4x + y = -3 is perpendicular to y = 1/4x + 8

Lastly, the third equation would neither parallel not perpendicular to the line.

This is because the first equation is parallel and the second equation is perpendicular

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Answer: 24% out of 53 people

Step-by-step explanation:

Answer:

45.3% are men

Step-by-step explanation:

These triangles can be proven congruent by using S-A-S rule.

What is congruent triangles?

Two triangles are same to be congruent if all 3 corresponding sides ar equal and every one the 3 corresponding angles ar equal in measure. These triangles will be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with one another. The symbol of congruence is’ ≅’.

Main body:

In ΔABC and ΔXYZ

AC = XZ   ---(1)

∠C = ∠ Z    ---(2)

BC = YZ    ---(3)

using 1, 2 ,3  we can prove that  ΔABC and ΔXYZ are congruent.

Hence ΔABC and ΔXYZ  are congruent.

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If we use both belts, it takes 4.5 minutes to carry the can to the storage area.

Let's assume, t = time required to move 300 pounds using both belts.

For this first calculate the speed or mass flow rate of each conveyor belt.

The big one can do 300 pounds in 6 minutes, so its speed is 300 pounds/6 minutes = 50 pounds/minute.

The smaller one takes 18 minutes, so the speed is 300 pounds/18 min = 50/3 pounds/minute.

We can see that the combined speed of both machines when working together is 50 + 50/3 = 50 (1 + 1/3) = 50 x 4/3 = 200/3 pounds/minute.

Then we find that the two machines together can transfer 300 pounds in t = 300/200/3 = 300/200 x 3 =  4.5 minutes.

Alternate Method:

We can do that too

Let t = the time required to move 300 pounds on both belts.

Job completed = 1 (300 pounds moved)

t/6 + t/18 = 1

Taking L.C.M

=> (3t + t)/18 = 1

=> 4t/18 = 1

=> t = 4.5 minutes

Hence, it takes 4.5 minutes to carry the can to the storage area.

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Answer:

29+8x

Step-by-step explanation:

5+8(3+x)

5+24+8x - Open parentheses

29+8x - Add like terms

It  will be written as inequality

3 - (x / 2) ≤ 5

Inequality is a mathematical relation which is use to make non-equal comparisons between equations or numbers.

Now let us look at the question.

Half a number less than 3. Let us suppose the number to be 'x' so

3 minus half of x which can be written as 3 - (x / 2)

Next it says that it is at most 5 which means it will be 5 or less than that.

Therefore we can easily write it as inequality 3 - (x / 2) ≤ 5

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Answer:

[tex]\huge\boxed{\sf b = 28}[/tex]

Step-by-step explanation:

Point (x,y) = (2,20)

So, x = 2 and y = 20

Also,

Slope = m = -4

Where b is y-intercept.

Put the above given data in this equation.

20 = (-4)(2) + b

20 = -8 + b

Add 8 to both sides

20 + 8 = b

28 = b

[tex]\rule[225]{225}{2}[/tex]

y=mx+c. y=20

x=2

m=-4

20= -4(2)+c

20= -8+c

20+8=c

28=c

The amount of grapes Carmen purchase than Hunter is 3/4 lbs

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

Carmen = 11/12 lbs

Hunter = 2/12 lbs

The difference between these parameters is the amount of grapes Carmen purchase than Hunter

This is represented as

Difference = Carmen - Hunter

Substitute the known values in the above equation, so, we have the following representation

Difference = 11/12 - 2/12

Evaluate

Difference = 9/12 = 3/4

Hence, the amount of grapes is 3/4 lbs

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The linear regression equation that represents this set of data is given by:

y = 30x + 854.6.

The predicted calendar year in which the number of new cases would reach 1141 is:

2020.

The format of the linear regression equation is given as follows:

y = mx + b.

In which the coefficients are listed as follows:

The equation is built inserting the points given on the table into a linear regression calculator.

The points from the table given by the image at the end of the answer are given as follows:

(0, 856), (1, 871), (2, 924), (3, 961), (4,961).

Inserting these points into a calculator, the equation is given as follows:

y = 30x + 854.6.

The predicted calendar year in which the number of new cases would reach 1141 is 2011 + integer part of x, when y = 1141, hence:

1141 = 30x + 854.6

x = (1141 - 854.6)/30

x = 9.54.

Hence during the year of 2020.

The table is given by the image shown at the end of the answer.

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Equation of the line which is passing through the point (-2, -6) and has the gradient of -3 is equal to y = -3x -12.

As given in the question,

Gradient of the required equation of the line is given by :

Gradient is slope.

Let slope is represented by m = -3

Line passing through the point (-2, -6) is given by :

( x₁ , y₁) = ( -2 , -6)

Equation of the line which is passing through the point (-2, -6) and has the gradient of -3 is given by :

y - y₁ = m ( x - x₁)

⇒ y - (-6) = (-3)(x - (-2))

⇒ y + 6 = -3( x + 2)

⇒ y + 6 = -3x - 6

⇒ y = -3x -12

Therefore, equation of the line which is passing through the point (-2, -6) and has the gradient of -3 is equal to y = -3x -12.

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20 ounces of chocolate chips would be required to make 5 dozen cookies.

According to the question,

We have the following information:

Shondra used four ounces of chocolate chips to make 1 dozen cookies.

We know that when we find the cost or required amount of any product which is more than 1 then we use multiplication to find the result.

So, we will multiply 5 dozen of cookies by the number of ounces of chocolate chips required for 1 dozen cookies.

Chocolate chips for 5 dozen cookies = 5*4

Chocolate chips for 5 dozen cookies = 20 ounces

Hence, 20 ounces of chocolate chips would be required to make 5 dozen cookies.

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