To find the variance of the weights from the given standard deviation of 11.6118 kg, you square the value of the standard deviation, resulting in a variance of 134.9143 kg^2.
Explanation:The question pertains to finding the variance of the weights from a given standard deviation. The standard deviation provided is 11.6118 kg. Variance is calculated as the square of the standard deviation, which helps in understanding the dispersion of a dataset relative to its mean. To calculate the variance, you square the value of the standard deviation.
Variance = Standard Deviation2
Thus, Variance = (11.6118 kg)2 = 134.9143 kg2. Therefore, the variance of their weights is 134.9143 square kilograms, rounded to four decimal places as required.
Patricia serves the volleyball to Amy with an upward velocity of 17.5ft/s. The ball is 5 feet above the ground when she strikes it. How long does Amy have to react, before the volleyball hits the ground? Round your answer to two decimal places.
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.
helpppppppppppppp plsss :)
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.
I hiking trail is 20 km long. Park organizers want to build five rest ops for hikers with one on each end of the trail in the other three spaced evenly between. How much distance will separate successive rest stops
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
Need to divide 837÷9 with step by step directions
Answer:
93
Step-by-step explanation:
9 8 3 7
− 0
8 3
− 8 1
2 7
− 2 7
0
Carlos and Michael are collecting baseball cards. Carlos has 85 and buys 10 more each week. Michael has 120 and receives 5 more from his uncle every week.
When will Carlos and Michael have the same amount?
A
in 2 weeks
B
in 7 weeks
C
They will never have the same amount since Michael had more to begin with.
D
in 10 weeks
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.
chevy have 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 make a total of 15 items. let h be the number of hats chevy makes and s be number of scarves he makes.
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?
Answer:The system of equations represents this situation are:
h + s = 15
0.2h + 0.1s = 2
5 hats and 10 scarves are made
Solution: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
Use division to write 2 equivalent fractions
6/12
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:
6 ÷ 2 = 312 ÷ 2 = 6Therefore, one equivalent fraction of 6/12 is 3/6.
Now, let's divide the numerator and the denominator by 3:
6 ÷ 3 = 212 ÷ 3 = 4Thus, 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.
What number is 25% more than 84
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.
can someone explain how to simplify a (b+c) ?
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
what is 1/10 of 0.04?
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
Solve 6 - x - x = 18
[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]
f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)
f(x) * g(x) = 4 (x² + 5x + 6)
Step-by-step explanation:
Step 1: Given details f(x) = 4x + 8 and g(x) = x + 3Step 2: Substitute values and multiplyf(x) * g(x) = (4x + 8) (x + 3)
= 4x² + 12x + 8x + 24
= 4x² + 20x + 24
= 4 (x² + 5x + 6)
Please this is very urgent!!!!!
39 degrees
51 degrees
129 degrees
180 degrees
Please help!!!
Which of the following expressions represent the distance between -4 and 1
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
Explain why parallelograms are always
quadrilaterals, but quadrilaterals are sometimes
parallelograms.
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.
Select all that apply.
Which of the following ratios are equivalent to 6:8?
1. 36/40
2. 9:12
3. 12 to 16
4. 15/20
5. 24:36
6. 16 to 24
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
[30points] What is the formula used to make an equation when we know the zeroes (alpha+beta) and (alpha x beta) ?
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(x² - (sum of zeroes)x + (product of zeroes)k(x² - (α+β)x + (αβ))k here,is a constant; for better clarification follow this example;
Say
(α+β) = 1(αβ) = 2According to the formula the equation must be;
k(x² - (α+β)x + (αβ))k(x² - (1)x + (2))k(x² - 1x + 2)Now, the k can be replaced with any variable, i.e, 3,4,5/6,7 etc anything. Hope it was clear.
The factored form of 4a3b5 − 16a5b2 + 12a2b3 is
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!
Given the following absolute value function sketch the graph of the function and find the domain and range.
ƒ(x) = |x + 3| - 1
explain in words not with a graph plsss
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.
2y−y+7−1+3+7x 2 −4y combine like terms
To combine like terms, group terms with the same variable and combine their coefficients. The simplified expression is -3y + 7x^2 + 9.
Explanation: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
George bought a house for $210,000 and now it has increased in value by 8% how much more is the house worth?
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.
PLS HELP....I WILL MARK YOU BRAINLIEST What is the value of 8(3 + X) when X = 7?
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.
On a scale drawing, a park is 4.5 inches long. The scale is 0.5inch=10 feet. What is the actual length of the park ?
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:
Write the expression: the quotient of the quantity k minus 12 and m. A) 12 − m k B) m − 12 k C) 12 − k m D) k − 12 m
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.
Together, two people earn $28,000. One earns$2,000 more than the other. How muchistheSmaller income?
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.
Simplify simplify -2(x-2)
Answer:
-2x + 4
Step-by-step explanation:
What is the area? Plz help fast I will mark brainliest ASAP
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
Which of the following Expressions is not equivalent to -8? a. 2×(-4) b. 4×(-2) c. -4×2 d. -4×(-2)
D
Negative times negative is positive
Dion shares 1/3 cup of nuts equally with his brother.
How much does each person get?
Answer:
1/6
Step-by-step explanation:
1/3 divided by 2 people= 1/6 each
Answer:
Step-by-step explanation:
1/3
I need to know the values of X and Y
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