A random sample of 10 subjects have weights with a standard deviation of 11.6118 kg. What is the variance of their weights? Be sure to include the appropriate units with
the result.
The variance of the sample data is_
(Round to four decimal places as needed.)

f(x) * g(x) = 4 (x² + 5x + 6)

Step-by-step explanation:

f(x) * g(x) = (4x + 8) (x + 3)

              = 4x² + 12x + 8x + 24

              = 4x² + 20x + 24

              = 4 (x² + 5x + 6)

Step-by-step explanation:

The given absolute value expression is

[tex]f(x) = |x + 3| - 1[/tex]

This absolute value function is of the form

[tex]f(x) = |x + h| + k[/tex]

where (h,k)=(-3,-1) is the vertex.

This function opens upwards, hence the the minimum point is (-3,-1)

The domain is the values of x for which the function is defined.

The domain is all real numbers.

The range is the values of y for which x is defined.

The is y≥-1 because the minimum value is -1.

The graph is shown in attachment.

Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn and  each scarf uses 0.1 kilograms of yarn. Chevy wants to use 2 kilograms of yarn to make a total of 15 items.

Let h be the number of hats Chevy makes and s be the number of scarves he makes.

Which system of equations represents this situation?​

The system of equations represents this situation are:

h + s = 15

0.2h + 0.1s = 2

5 hats and 10 scarves are made

From given,

Let "h" be the number of hats Chevy made

Let "s" be the number of scarves made

They made a total of 15 items

Therefore, we get,

h + s = 15 --------- eqn 1

Also given that,

Each hat uses 0.2 kilograms of yarn

Each scarf uses 0.1 kilograms of yarn

Chevy wants to use 2 kilograms of yarn

Therefore, we frame a equation as:

[tex]0.2 \times h + 0.1 \times s = 2[/tex]

0.2h + 0.1s = 2 --------- eqn 2

Thus eqn 1 and eqn 2 represents the system of equations

Let us solve eqn 1 and eqn 2

From eqn 1,

h = 15 - s ------ eqn 3

Substitute eqn 3 in eqn 2

0.2(15 - s) + 0.1s = 2

3 - 0.2s + 0.1s = 2

0.1s = 1

s = 10

Substitute s = 10 in eqn 3

h = 15 - 10

h = 5

Thus 5 hats and 10 scarves are made

Answer:

1/2 and 2/4

Step-by-step explanation:

To make an equivalent fraction, you have to multiply or divide the numerator (top number) and denominator (bottom number) by the same number. For 6/12, we can divide the numerator and denominator by 6, which gives us 1/2. We can also divide the numerator and denominator by 3, and we get 2/4. 1/2 and 3/4 are 2 equivalent fractions, but there are tons more of equilalent fractions to 6/12.  

Final answer:

To find equivalent fractions for 6/12, divide both the numerator and the denominator by 2 to get 3/6, and by 3 to get 2/4. These operations demonstrate creating equivalent fractions through division.

Explanation:

The question asks us to use division to write 2 equivalent fractions to 6/12. Equivalent fractions are fractions that represent the same value. To find equivalent fractions, we can divide both the numerator and the denominator by the same number, provided that number does not equal zero.

Let's divide the numerator and denominator by 2:

Therefore, one equivalent fraction of 6/12 is 3/6.

Now, let's divide the numerator and the denominator by 3:

Thus, another equivalent fraction of 6/12 is 2/4.

Both fractions represent the same value as the original fraction 6/12, showcasing the concept of equivalent fractions through division.

Answer:

-2x + 4

Step-by-step explanation:

t = 1.33 sec

Solution:

Given data:

Velocity [tex](v_0)[/tex] = 17.5 ft/s

Height [tex](h_0)[/tex] = 5 ft

The height can be modeled by a quadratic equation

[tex]h(t)=-16t^2+v_0t+h_0[/tex]

where h is the height and t is the time

[tex]h(t)=-16t^2+17.5t+5[/tex]

[tex]-16t^2+17.5t+5=0[/tex]

a = –16, b = 17.5, c = 5

It looks like a quadratic equation. we can solve it by quadratic formula,

[tex]$\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

[tex]$\Rightarrow t=\frac{-17.5 \pm \sqrt{(-17.5)^{2}-4\times (-16)(5)}}{2 (-16)}[/tex]

[tex]$\Rightarrow t= \frac{-17.5 \pm \sqrt{306.25+ 320}}{-32}[/tex]

[tex]$\Rightarrow t= \frac{-17.5 \pm 25.025}{-32}[/tex]

[tex]$\Rightarrow t= \frac{-17.5 - 25.025}{-32}, \ t= \frac{-17.5 + 25.025}{-32}[/tex]

[tex]$\Rightarrow t= 1.33, \ t= -0.24[/tex]

Time cannot be in negative. So neglect t = –0.235.

t = 1.33 sec

Hence Amy have to react  1.33 sec before the volleyball hits the ground.

Answer:

i think the answer is a

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:

You have to remember to convert the fractions into equal denominators in order to solve it. In this case, it is 12.

Probably too late, but still need to know how to do this.

Formula for the area of a circle: A = πr²     [pi times radius(r) squared]

The radius is half of the diameter. [diameter would be a line that would go through the whole circle, the radius would be a line that would stop/end halfway through the circle - see attached image]

They gave you the diameter, which is 3, so divide it by 2 or multiply by 1/2 to get the radius, which will be 1.5.

A = πr²    Plug in 1.5 for r

A = π(1.5)²         Find 1.5²  [or 1.5 x 1.5 = 2.25]

A = 2.25π meters²

Answer: i dont see expressions but it would be 5

Step-by-step explanation:

Answer:

|-4-1|

Step-by-step explanation:

i got it right

Answer:

0.004 or 1/250

Step-by-step explanation:

the word "of" means multiply. so just multiply 1/0 by 0.04. :)

Answer:

0.004

Step-by-step explanation:

you move the decimal a place to the left

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{Solve: 6 -x- x=18}[/tex]

[tex]\mathsf{Combine\ your\ like\ terms}\\\mathsf{6 -\bf{x - x}\mathsf{= 18}}\\\mathsf{-x-x=-2x}\\\mathsf{Your\ new\ equation: -2x+6=18}\\\\\mathsf{Do\ the\ OPPOSITE\ symbol\ on\ both\ sides\ of\ the\ equation}\\\mathsf{Addition\ opposite\ symbol\ is\ subtraction}\\\mathsf{Subtract\ by\ 6\ on\ your\ sides}\\\mathsf{-2x+6-6=18-6}\\\mathsf{Cancel\ out{6-6\ because\ it\ gives\ us\ 0}}\\\mathsf{Keep:18-6\ because\ it\ helps\ us\solve\ for\ the\ answer}\\\\\mathsf{Next,\ divide\ both\ sides\ by\ -2}[/tex]

[tex]\mathsf{\dfrac{-2x}{-2}=\dfrac{12}{-2}}\\\\\mathsf{Cancel\ out: \dfrac{-2x}{-2}\ because\ it\ gives\ you\ the\ result\ of 1}\\\\\mathsf{Keep:\dfrac{12}{-2}\ because\ it\ gives\ the\ answer\ of\ x}\\\\\\\boxed{\bf{Answer:\mathsf{x=-6}}}}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst:)}[/tex]

Answer:

80

Step-by-step explanation:

8(3+7)

8*3=24

8*7=56

24+56=80

Answer: 80

Step-by-step explanation: To solve this problem, we first substitute 7 in for x inside the parentheses and we have 8 (3 + 7).

Following your order of operations, you should simplify what's inside the parentheses first. So 3 + 7 simplifies to 10.

Bring down your 8 and you have 8 (10) which equals 80.

Answer:

I think its 226800.

Step-by-step explanation:

8% of 210,000 is 16800. I added that to 210,000 and got my answer.

Answer:

In order to be a quadrilateral, a polygon must have 4 sides, and parallelograms always have 4 sides. In order to be a parallelogram, a polygon must have 4 sides with opposite sides parallel. Quadrilaterals always have 4 sides, but do not always have opposite sides parallel.

Step-by-step explanation:

In order to be a quadrilateral, a polygon must have 4 sides, and parallelograms always have 4 sides. In order to be a parallelogram, a polygon must have 4 sides with opposite sides parallel. Quadrilaterals always have 4 sides, but do not always have opposite sides parallel.

Answer:

ab + ac

Step-by-step explanation:

a (b+c)

a is multiplying everything in the bracket

axb + axc

ab + ac

Answer:

ab + ac

Step-by-step explanation:

a (b + c) *multiply

a x b + a x c

ab + ac

Answer:

5km

Step-by-step explanation:

There are 5 rest ops where 2 of them are at 2 ends and the other 3 are spaced evenly between. This would create 4 equal separated spaces. If the total distance is 20km, then the length for each space would be 20 / 4 = 5 km

Answer:

93

Step-by-step explanation:

9      8 3 7

− 0    

 8 3  

− 8 1  

   2 7

 − 2 7

     0

Answer:

x=25, y=113

Step-by-step explanation:

5x=3x+50 (alternate angles)

5x-3x=50

2x=50

Dividing both sides by 2

x=25

Now

5x=y+12 (vertical angles)

5(25)=y+12

125=y+12

y=125-12

y=113

Step-by-step explanation:

Let one person earns $ x

Therefore other earns = $(x + 2000)

According to the given condition:

[tex]x + (x + 2000) = 28000 \\ \\ \therefore \: x + x + 2000 = 28000 \\ \\ \therefore \: 2 x = 28000 - 2000\\ \\ \therefore \: 2 x = 26000\\\therefore \: x = \frac{26000}{2} \\ \\ \therefore \: x = 13000 \\ \implies \: x + 2000 \\ \: \: \: \: \: \: \: \: \: \: = 13000 + 2000 \\ \therefore \: x + 2000= 15000 \\ [/tex]

Hence, smaller income is $13000.

Answer: 3.12:16

Step-by-step explanation:

Answer:

2, 3 and 4

Step-by-step explanation:

6:8

3:4

1. 36/40 = 9/10

2. 9:12 = 3:4

3. 12 to 16 = 3/4 = 3:4

4. 15/20 = 3/4 = 3:4

5. 24:36 = 2/3

6. 16 to 24 = 2/3

First off, use carats so its more clear that there's exponents (I'm using parentheses for simplicity):

(4*a^3*b^5)-(16*a^5*b^2)+(12*a^2*b^3)

It's best to divide the whole expression by 4a^2b^2 because it's the least common factor.

So we get (a*b^3)-(4*a^3)+(3b)

I hope this helped. It's been a while since I've done problems like these!

Answer:

90 feet

Step-by-step explanation:

4.5in/0.5in=9

9 times 10 is 90 feet

Answer:

90 feet

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

1/3 divided by 2 people= 1/6 each

Answer:

Step-by-step explanation:

1/3

Answer:

105

Step-by-step explanation:

The number that is 25% more than 84 is 105.

To find 25% more than a given number, one can calculate 25% of that number and then add it to the original number. Here's the step-by-step calculation:

1. First, calculate 25% of 84:

[tex]\[ 25\% \text{ of } 84 = \frac{25}{100} \times 84 = \frac{1}{4} \times 84 = 21 \][/tex]

2. Then, add this value to the original number to find the increased amount:

[tex]\[ 84 + 21 = 105 \][/tex]

Therefore, 25% more than 84 is 105.

D

Negative times negative is positive

Answer:

If it is a quadratic equation then it's zeroes are alpha and beta. Sum of zeroes is -b/a. So alpha plus beta is -b divided by a.

Step-by-step explanation:

The formula used for making an equation when you know the zeroes is;

k here,is a constant; for better clarification follow this example;

Say

According to the formula the equation must be;

Now, the k can be replaced with any variable, i.e, 3,4,5/6,7 etc anything. Hope it was clear.

Make two equations:

Carlos: y=10x+85

Michael: y=5x+120

Set them equal to each other and solve:

10x+85=5x+120

5x+85=120

5x=35

x=7

So therefore, B is the correct answer

Hope this helped!

Final answer:

To determine when Carlos and Michael will have the same number of baseball cards, set up an equation based on their weekly acquisitions. After solving the equation, it is revealed that they will have the same amount in 7 weeks.

Explanation:

The subjects of interest are Carlos and Michael's baseball card collections.

Carlos starts with 85 cards and adds 10 each week, while Michael starts with 120 and receives 5 more weekly.

To find when they will have the same amount, set up an equation:

Carlos's cards: 85 + 10x (x representing the number of weeks)Michael's cards: 120 + 5xSolve the equation: 85 + 10x = 120 + 5xTherefore, x = 7 weeks, so the answer is B: in 7 weeks.

To combine like terms, group terms with the same variable and combine their coefficients. The simplified expression is -3y + 7x^2 + 9.

To combine like terms, we group terms with the same variable and combine their coefficients. In this case, we have:

2y - y + 7 - 1 + 3 + 7x2 - 4y

Combining the like terms:

2y - 4y - y + 7 - 1 + 3 + 7x2

Combining the coefficients:

(2 - 4 - 1)y + (7 - 1 + 3) + 7x2

-3y + 9 + 7x2

So, the simplified expression is -3y + 7x2 + 9.

Learn more about Combining like terms here:

https://brainly.com/question/16601020

#SPJ11

Answer:

Option D) (k − 12)/m                          

Step-by-step explanation:

We have to write an expression:

the quotient of the quantity k minus 12 and m.

k minus 12 can be written as:

[tex]k - 12[/tex]

The quotient of (k-12) and m means (k-12) is divided by m.

This can be written as:

[tex]\dfrac{k-12}{m}[/tex]

Thus, the correct answer is

Option D) (k − 12)/m                                                                      

Final answer:

The expression for the quotient of 'k minus 12' and 'm' is correctly written as (k - 12) ÷ m, making option D the accurate choice.

Explanation:

The expression for the quotient of the quantity k minus 12 and m should be written as a fraction where the numerator is k minus 12 and the denominator is m. This is mathematically represented by the fraction (k - 12) ÷ m, which indicates the division of the expression k minus 12 by m. Therefore, the correct expression from the given options is D) k - 12 ÷ m.