Answer:
bunches up in the middle and tapers off symmetrically at either end
Step-by-step explanation:
By definition a normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Because the data towards the mean is more frequent in occurrence, the graph peaks at the center. The data occurs less frequently at the tail ends of the distribution, thus the shape of the distribution is a bell shape that peaks at the center and tapers off towards the tails. The key characteristic is that the distribution of data is perfectly symmetrical.
This is why the answer is:
The data depicted in a histogram show approximately a normal distribution if the distribution bunches up in the middle and tapers off symmetrically at either end.
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.
What is the least common denominator of 1/7,2/5 and 2/3?
Answer:
105 is the least common denominator
Step-by-step explanation:
Since 7, 5 and 3 are all prime.
LCM would be 7×3×5 = 105
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)
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.
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.
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.
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
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
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
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.
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
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
The measure of angle 1 is 30 degrees less than twice the measure of angle 2. What is the measure of angle 1. What is the measure of angle 2
Answer:
110°
Step-by-step explanation:
the supplement of an angle is 30 degrees less than twice the measure of the angle itself. find the angle and its supplement.
Let the angle be A, then its supplement = (180 - A)
Now, since the supplement is 30 degrees less than twice the measure of the angle itself, then we'll have:
180 - A = 2A - 30
-3A = - 210
A, or the angle = [tex]\frac{-210}{-3}[/tex]= 70 °
Its supplement, (180 - A) = 180 - 70 = 110°
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.
Help solve and explain every step please: 4x-2=0
Answer:
Therefore,
[tex]x=\dfrac{1}{2}[/tex]
Step-by-step explanation:
Given:
[tex]4x-2=0[/tex]
To Find:
x = ?
Solution:
[tex]4x-2=0[/tex]
Step 1 : Add 2 on both the side we get
[tex]4x-2+2=0+2\\4x=2[/tex]
Step 2 : Dividing by 4 on both the side we get
[tex]\dfrac{4x}{4}=\dfrac{2}{4}\\\\x=\dfrac{1}{2}[/tex]
Step 3 :The final solution is
[tex]x=\dfrac{1}{2}[/tex]
Therefore,
[tex]x=\dfrac{1}{2}[/tex]
Translate the sentence into an inequality.
The product of b and 6 is less than - 16.
The sentence 'The product of b and 6 is less than -16' translates to the inequality '6b < -16' in Mathematics.
Explanation:In mathematics, translating a sentence into an inequality involves identifying the mathematical symbols and operations represented by the words in the sentence. In this case, 'the product of b and 6' translates to '6 * b' and 'is less than' translates to '<'. So, the sentence 'The product of b and 6 is less than -16' translates to the inequality '6 * b < -16' or '6b < -16' in simplified form.
Learn more about Inequalities here:https://brainly.com/question/32625151
#SPJ3
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.
What is the constant of proportionality for the ratios; (2,3), (4,6), (6,9) and (8,12)
The constant of proportionality for the given ratios is 1.5.
The constant of proportionality for the given ratios can be found by dividing the second value of each ratio by the first value. Let's take the first ratio (2,3) as an example:
Constant of proportionality = 3 / 2 = 1.5
Following the same steps for the other ratios, we can find the constant of proportionality for each of them. For the second ratio (4,6), the constant of proportionality is 6 / 4 = 1.5. For the third ratio (6,9), the constant of proportionality is 9 / 6 = 1.5. And for the fourth ratio (8,12), the constant of proportionality is 12 / 8 = 1.5.
Learn more about constant of proportionality here:https://brainly.com/question/29153656
#SPJ11
Final answer:
The constant of proportionality for the given ratios is 1.5, as each second number in the ratio is 1.5 times the corresponding first number.
Explanation:
To find the constant of proportionality for the given set of ratios, we first look at each pair to determine if there is a common constant that each first number is multiplied by to result in the second number. Inspecting the given ratios (2, 3), (4, 6), (6, 9), and (8, 12), we can see that in each case, the second number is 1.5 times the first number.
For example, for the ratio (2, 3), if you multiply 2 by 1.5, you get 3. Similarly, for the ratio (4, 6), multiplying 4 by 1.5 gives you 6, and so on. This consistency across the ratios confirms that the constant of proportionality is 1.5.
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
Simplify simplify -2(x-2)
Answer:
-2x + 4
Step-by-step explanation:
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!
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
Ben’s living room is a rectangle measuring 10 yards x 168” by how many feet does the legs of the room exceed the width
Answer:
16 feet.
Step-by-step explanation:
Given:
Ben’s living room is a rectangle measuring 10 yards x 168.
Question asked:
How many feet does the legs of the room exceed the width ?
Solution:
By applying unitary method:
Length of rectangle = 10 yards = 30 feet (1 yard = 3 feet)
(10 yard = [tex]3\times10 = 30)[/tex]
Breadth of rectangle = 168 inch = 14 feet (12 inch = 1 feet)
(1 inch = [tex]\frac{1}{12}[/tex])
( 168 inch = [tex]\frac{1}{12}[/tex][tex]\times168 = 14 feet)[/tex]
By subtracting the breadth from the length of rectangle,
30 feet - 14 feet = 16 feet
Therefore, by 16 feet, length of the room exceed the width.
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
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.
use the net to compute the surface area of three dimensional figure.
Option C:
Surface area of the three dimensional figure is 166 unit².
Solution:
Let us find the area of the net of the figure.
Length = 7, Width = 5, Height = 4
Area of the bottom = length × width
= 7 × 5
= 35 unit²
Area of the Top = length × width
= 7 × 5
= 35 unit²
Area of the left = width × height
= 5 × 4
= 20 unit²
Area of the right = width × height
= 5 × 4
= 20 unit²
Area of the front = length × height
= 7 × 4
= 28 unit²
Area of the back = length × height
= 7 × 4
= 28 unit²
Surface area = 35 + 35 + 20 + 20 + 28 + 28
= 166 unit²
Surface area of the three dimensional figure is 166 unit².
ANSWER ASAP, WILL NAME BRAINLIEST
What is the value of x in the equation Negative 6 x = 5 x + 22? –22 –2 2 22
First off, rename your equation as -6x=5x+22
You solve the equation by subtracting 5x on both sides to get:
-11x=22
Now divide both sides by -11 to get x=-2
So the answer is C: -2
Hope this helped! This is my first time answering!
Answer:
It is -2 (B)
Because you add -5x to both sides and you get -11x=22 and 22 divided by -11 is -2
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
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.
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.