i think the question is not correct write it again or attach the pic ic
The mean of a data set is the sum of all data elements divided by its count.
The mean weight of the 19 girls is 33.4 kg
Let
[tex]b \to[/tex] boys
[tex]g \to[/tex] girls
[tex]n \to[/tex] the total population
So:
[tex]b = 11[/tex]
[tex]\bar x_b = 31.9[/tex]
[tex]g = 19[/tex]
[tex]n = 30[/tex]
[tex]\bar x = 32.85[/tex]
The mean of all students is calculated as follows:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{\bar x_b \times b + \bar x_g \times g}{n}[/tex]
Substitute known values
[tex]32.85 = \frac{31.9 \times 11 + \bar x_g \times 19}{30}[/tex]
[tex]32.85 = \frac{350.9 + \bar x_g \times 19}{30}[/tex]
Multiply through by 30
[tex]30 \times 32.85 = 350.9 + \bar x_g \times 19[/tex]
[tex]985.5 = 350.9 + \bar x_g \times 19[/tex]
Collect like terms
[tex]985.5 -350.9 = \bar x_g \times 19[/tex]
[tex]634.6 = \bar x_g \times 19[/tex]
Divide through by 19
[tex]33.4 = \bar x_g[/tex]
[tex]\bar x_g = 33.4[/tex]
Hence, the mean weight of the girls is 33.4 kg
Read more about mean at:
https://brainly.com/question/2018505
what is the value ofny when -5 y-7/9
Which of the following is the slope of a line that passes through the points (-5, 10) and (15, 2)
Answer:
(4) -2/5
Step-by-step explanation:
Rise/run
In Triangle ABC. AB = 5, BC=8. and AC = 7. Name the largest angle of triangle ABC
i think its A
Step-by-step explanation:
Translate this sentence into an equation. 99 is the product of Chrissy's age and 9 Use the variable c to represent Chrissy's age.
Answer:
[tex]9c=99\\[/tex]
Step-by-step explanation:
Product means multipulcation
So it must be 9c = 99
Answer:
99=c×9
Step-by-step explanation:
Chrissy =c
99=c×9
that will be your answer because you have been told to write an equation not to solve.
Evaluate the function w=-5x-1 when x=-3,0, and 8.
When x = -3;
w = -5(-3) - 1
w = 15 - 1
w = 14
When x = 0;
w = -5(0) - 1
w = 0 - 1
w = -1
When x = 8;
w = -5(8) - 1
w = -40 - 1
w = -41
Best of Luck!
Radius
Diameter: 26 inches
Circunference :
Area:
Answer:
Radius is 13
Circumference = 26π
Area is 169π
Step-by-step explanation:
use the radius, circumference, and area formulas.
Radius is 13
Circumference = 26π
Area is 169π
substitute pi for 3.14, 3, etc if needed
John had 30 sneakers, with 18 of the black. What is the ratio of the sneakers that are not black
Answer:
18:12
Step-by-step explanation:
30-18=12
18:12
Please help me with the question please ASAP ASAP please please ASAP please please help please please ASAP please please
Answer:
Ok so since this is a vertical angle you will need to set it in a equation and solve it. Not sure if my answer would be right but let me know. I have attached a picture of me solving it. Hope this helps, thank you !!
What percentage is 18 out of 22
Answer:
81.8181
Step-by-step explanation:
.......................
81.82% is the percentage of number 18 out of 22.
To find the percentage that 18 represents out of 22, you can use the following formula:
(18 / 22) × 100
Calculating this equation:
(18 / 22) × 100
1800/22
= 81.82
Therefore, 18 is approximately 81.82% of 22.
To learn more on Percentage click:
https://brainly.com/question/24159063
#SPJ6
ERRE
What is the difference?
4y+6
y-5
2y+ 1
y-5
6y+7
y-5
2y+5
y-5
6y+ 7
-2y-10
2y+5
-2y-10
y-5
2y+ 1
y-5
6y+7
y-5
2y+5
y-5
6y+ 7
-2y-10
2y+5
-2y-10
Which 2 equations would you use to solve this system?
—
The difference of two numbers is 4. Their sum is 32. What are the numbers?
• x + y = 4
• x - y = 4
• x + y = 32
• x - y = 32
Answer:
x-y=4
and
x+y=32 is your equation
difference of two number =x-y is equal to 4
sum of two number=x+y is equal to 32
x-y=4.......(1)
x+y=32.......(2)
adding equation 1 and 2
x-y +x+y=4+32
2x=36
x=36/2=16answer
substituting value of y in equation 1
16-y=4
16-4=y
y=12 answer
please, PLEASE answer this fast! I have 1 hour left before I pass it. Please help :( answer it properly! Thank you in advance.
-This is grade 8 math-
1.What elements belong to Set A and Set B?
2. Is there a repetition of the first elements in the ordered pairs? How about in second elements of the ordered pairs?
3. Does the set of ordered pairs represent a relation?
4. How is a relation represented?
Answer:
The range is is set of all second pairs (y-coordinates) while the domain is the set of first pairs(x-coordinates)
Step-by-step explanation:
If a person walks 1/2 miles in 3/4 of an hour. What Is the unit rate?
Write as a product (5c-3d)^2-9d^2
Answer:
25c^2-30cd
Step-by-step explanation:
The product of expression is,
⇒ 5c (5c - 6d)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ (5c - 3d)² - 9d²
Now, We can write the expression in form of product as;
⇒ (5c - 3d)² - 9d²
⇒ (5c - 3d)² - (3d)²
⇒ (5c - 3d - 3d) (5c - 3d + 3d)
⇒ (5c - 6d) (5c)
⇒ 5c (5c - 6d)
Thus, The product of expression is,
⇒ 5c (5c - 6d)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Lines Line A E and Line G H are parallel in the image below. The image will be used to prove that the sum of the measures of the interior angles of Triangle C G H is 180°.
Lines A E and G H are parallel. Angles F and C are congruent.
Which statement would be included in the proof of why Measure of angle C + measure of angle G + measure of angle H = 180 degrees.?
Angles F and H are congruent.
Angles C and E are congruent.
Angles A and G are congruent.
Angles F and C are congruent.
Answer:
he corect f and c
Step-by-step explanation:
The answer would be F and C
Explanation: I got it right on the test I took.
Can I get some help with this question
If a⁵ = 3⁵, simplify (2a)⁷ ?
3⁷3⁸6⁶6⁷Answer :D option 6⁷ is the right answer.Explanation :Given :a⁵ = 3⁵To Find :(2a)⁷Solution :As, we have a⁵ = 3⁵
We know that if powers are equal then the base are also equal. In a⁵ = 3⁵, powers are equal on both sides so base will also be equal.
∴ a = 3
Now, we have to find (2a)⁷, so by substituting a = 3, we have :
⟹ (2a)⁷ = (2 × 3)⁷
⟹ (2a)⁷ = (6)⁷
⟹ (2a)⁷ = 6⁷
Therefore, correct answer is 6⁷.
Hence, correct option is D.
Find the area of equilateral triangle with side a. Please answer with completely simplified exact values. Answer: A = sq. Units
Solution :
It is given that the length of a side of a triangle is given by 'a'.
It is an equilateral triangle.
So the three sides will be of equal length and is a, a, a units.
Now the semi perimeter of the equilateral triangle is given by :
[tex]$S=\frac{a+a+a}{2}$[/tex]
[tex]$=\frac{3}{2}a$[/tex]
Therefore, using the Heron's formula, we can find the area of the equilateral triangle.
Area of the equilateral triangle is given by :
[tex]$A =\sqrt{S(S-a)(S-a)(S-a)}$[/tex]
[tex]$A =\sqrt{\frac{3a}{2}\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)}$[/tex]
[tex]$A=\frac{\sqrt3}{4}a^2$[/tex] square units.
A graduated cylinder that is 24 cm tall can hold 1 L of water.
a. What is the radius of the cylinder? (round to the nearest hundredth)
b. What is the height of the 500 ml mark?
c. The 250 ml mark?
Recall that 1 liter (L) is equal to 1000 milliliters (ml).
Due soon, please I don't understand.
Answer:
LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right, if its not then i dont know what to say.
Step-by-step explanation:
Raj gave his mother a bouquet of 12 pink and white roses. There were 4 pink roses in the bouquet. Which ratio represents the number of white roses to the total number of roses in the bouquet? One-third One-half Two-thirds Three-fourths
Answer:
The answer would be 2/3 or C
Step-by-step explanation:
I got it
PLEASE HELP THANKS YOU
What is the MAD of these numbers 1,1,4,5,5,5,6,7,7,10,10?
Please give an explanation
Answer:
2.2314
Step-by-step explanation:
To find the mean absolute deviation of the data, start by finding the mean of the data set.
1+1+4+5+5+5+6+7+7+10+10= 61
61÷11= 5.5-2.5= 2.2
Example:
Find the MAD of 2,4,6,8
Step 1 :
Find the mean of the data :
(2+4+6+8) / 4 = 20/4 = 5
Step 2 :
Find the distance between each data and mean.
Distance between 2 and 5 is 3
Distance between 4 and 5 is 1
Distance between 6 and 5 is 1
Distance between 8 and 5 is 3
Step 3 :
Add all the distances :
3+1+1+3 = 8
Step 4 :
Divide it by the number of data :
8 / 4 = 2
In the figure, [tex] \angle[/tex] AOB = [tex] \frac{1}{2} [/tex][tex] \angle[/tex] BOC and [tex] \angle[/tex] BOC = [tex] \frac{2}{3} [/tex][tex] \angle[/tex] COD . Show that [tex] \angle[/tex] COD = [tex] \frac{1}{2} \angle[/tex] AOD mentioning necessary axioms.
~Thanks in advance !
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
[tex]1)\text{ }\angle AOD=180[/tex] Straight Angle Theorem
[tex]2)\text{ } \angle AOB+\angle BOC+\angle COD=\angle AOD[/tex] Angle Addition
[tex]3)\text{ } \angle AOB+\angle BOC+\angle COD=180[/tex] Substitution
[tex]\displaystyle 4)\text{ } \angle AOB=\frac{1}{2}\angle BOC[/tex] Given
[tex]\displaystyle 5)\text{ } \angle BOC=\frac{2}{3}\angle COD[/tex] Given
[tex]\displaystyle 6)\text{ } \frac{1}{2}\angle BOC+\frac{2}{3}\angle COD+\angle COD=180[/tex] Substitution
[tex]\displaystyle 7)\text{ } \frac{1}{2}\Big(\frac{2}{3}\angle COD\Big)+\frac{2}{3}\angle COD+\angle COD=180[/tex] Substitution
[tex]\displaystyle 8)\text{ } \frac{1}{3}\angle COD+\frac{2}{3}\angle COD+\angle COD=180[/tex] Multiplication
[tex]\displaystyle 9)\text{ } 2\angle COD=180[/tex] Addition
[tex]10)\text{ } \angle COD=90[/tex] Division Property of Equality
[tex]\displaystyle 11)\text{ } \frac{1}{2}\angle AOD=90[/tex] Division Property of Equality
[tex]\displaystyle 12)\text{ } \angle COD=\frac{1}{2}\angle AOD[/tex] Substitution
Answer:
this is your answer. good luck.
Rita has 10 centimeters of
ribbon. She cuts the
ribbon into 8 equal pieces.
What is the length, in
centimeters, of each
piece of ribbon?
Answer: 1.25
Step-by-step explanation:
because it is
Find exact value. tan (sin-1 5/8)
Answer:
The chicken closed the road.
And then he crawled up the spot
and come over the duck
John is planning on building a shelf in the shape of a right triangle. He wants the shelf to be 99 inches at its widest and 4040 inches long. He believes the diagonal will be 41 inches. Is he accurate?
Given:
Shape of the shelf is a right triangle.
Width of the shelf = 9 inches
Length of the shelf = 40 inches
He believes the diagonal will be 41 inches.
To find:
Whether he is accurate or not.
Solution:
According to the Pythagoras theorem,
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Using Pythagoras theorem, find the length of the diagonal.
[tex]Diagonal^2=Width^2+length^2[/tex]
[tex]Diagonal^2=(9)^2+(40)^2[/tex]
[tex]Diagonal^2=81+1600[/tex]
[tex]Diagonal^2=1681[/tex]
Taking square root on both sides.
[tex]Diagonal=\pm \sqrt{1681}[/tex]
But side cannot be negative.
[tex]Diagonal=41[/tex]
Therefore, the length of the diagonal is 41 inches. So, John is accurate.
The graph of a sinusoidal function has a maximum point at (0,5)(0,5)left parenthesis, 0, comma, 5, right parenthesis and then has a minimum point at (2\pi,-5)(2π,−5)left parenthesis, 2, pi, comma, minus, 5, right parenthesis. Write the formula of the function, where xxx is entered in radians.
The graph and therefore, the sinusoidal function equation is a wave function graph and equation
The formula of the sinusoidal function can be written as follows;
[tex]y = \mathbf{5 \cdot sin\left (\dfrac{1}{2} \cdot \left (x + \dfrac{\pi}{2} \right)\right)}[/tex]
The process of deriving the equation of the sinusoidal function is as follows:
The given parameters of the sinusoidal function are;
The coordinate of the maximum point = (0, 5)
The coordinate of the minimum point = (2·π, -5)
Method:
The general form of the sinusoidal function is y = A·sin(B·(x - h)) + k
From the given coordinates of points on the graph of the sinusoidal wave, the values of A, B, h, and k can be calculated as follows
Solution:
y = A·sin(B·(x - h)) + k
Where;
A = Amplitude = (Maximum y-value - Minimum y-value)/2
∴ A = (5 - (-5))/2 = 5
A = 5
The period, T = 2·π/B = The time to complete a cycle = Time from maximum y-value to another maximum y-value
∴ The period, T = 2 × (The x-value at maximum y-value - The x-value at minimum y-value)
T = 2 × (0 - 2·π) = -4·π
Given that the period, T represent a scalar quantity, we have T = 4·π
∴ T = 4·π = 2·π/B
B = 2·π/4·π = 1/2
B = 1/2
From the given coordinates, at x = 0, f(x) is maximum, therefore, sin(B·(x - h)) = 1, which gives;
B·(x - h) = π/2
(1/2)·(0 - h) = π/2
h = -π/2
The vertical shift, k = (Maximum y-value + Minimum y-value)/2
∴ k = (5 + (-5))/2 = 0, there is no vertical shift
Therefore;
The equation of the sinusoidal function is y = 5·sin(1/2·(x - (-π/2)) + 0, from which the equation can be presented as follows;
[tex]y = \mathbf{ 5 \cdot sin\left (\dfrac{1}{2} \cdot \left (x + \dfrac{\pi}{2} \right)\right)}[/tex]
Learn more about sinusoidal functions here
https://brainly.com/question/22706973
Answer:
f(x)=5sin((1/2)x + (pi/2))
Step-by-step explanation:
I really need this pls
Answer:
[tex]\displaystyle m=-1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, 0)
Point (0, 2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{2-0}{0-2}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{2}{-2}[/tex][Fraction] Divide: [tex]\displaystyle m=-1[/tex]Calculate the equation of the line through the points (-1, 1), (4.0), and (24,-4).
A y = 5x + 6
B y= 1/5x + 4/5
C y= -5x + 4
D y= -1/5x +4/5
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (24, - 4) ← 2 points on the line
m = [tex]\frac{-4-1}{24+1}[/tex] = [tex]\frac{-5}{25}[/tex] = - [tex]\frac{1}{5}[/tex] , then
y = - [tex]\frac{1}{5}[/tex] x + c ← is the partial equation
To find c substitute any of the 3 points into the partial equation
Using (4, 0 ) , then
0 = - [tex]\frac{4}{5}[/tex] + c ⇒ c = 0 + [tex]\frac{4}{5}[/tex] = [tex]\frac{4}{5}[/tex]
y = - [tex]\frac{1}{5}[/tex] x + [tex]\frac{4}{5}[/tex] → D
700, 1200, 1600, 2000, X
If the mean of the five numbers above is 1600, what
is the value of x ?
Answer:
2500
Step-by-step explanation:
The mean of 700, 1200, 1600, 2000, 2500 is 1600.
Which quadratic equation?
Answer:
step 1. plug in (-3, 0).
step 2. y = x^2 + x - 6 works and the others dont.
step 3. plug in (-2, -4), (-1, -6), (0, -6), (1, -4), (2, 0)
step 4. All points work in the equation x^2 + x - 6.