The sample proportion denoted [tex]\hat{p}[/tex] is given by the formula [tex]\hat{p} = \frac{x}{n}[/tex], where, x is the number of individuals with a specified characteristic in a sample of n individuals.
What is a sample proportion?A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.
Mathematically, sample proportion can be calculated by using this formula:
[tex]\hat{p} = \frac{x}{n}[/tex]
Where:
x is the number of individuals with a specified characteristic.n is the total number of individuals in a sample.Read more on sample proportion here: https://brainly.com/question/23838641
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A company makes 140 bags. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons. How many bags have zips on them?
Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of bags that zips on them is 78.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given the number of bags that the company makes is 140. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons.
Bags that have both zip and button
= Total number of bags - Number of bags with zips but no buttons - Number of bags with buttons but no zips - Number of bags with nor zips nor the buttons
= 140 - 21 - 39 - 23
= 57
Now, the number of bags that has zips will be the bags that only have zips and the number of bags that has zips and buttons. Therefore, the number of bags with zips is,
n = Bags that have both zip and button + Number of bags with zips but no buttons
= 37 + 21
= 78
Hence, the number of bags that zips on them is 78.
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Answer:
Bags with zip = (bag with button and zip) + (bag with no button but only zip)
i.e.,
Rotal bags – (bags with neither of two + bags with only buttons)
=> 140-(39+23)
=> 140-62
=> 78
So, 78 bags have zips on them.
I REALLY NEED HELP!!
Based on the calculations on these invertible functions, f⁻¹(f(6.022)) is equal to 6.022 and f⁻¹(-10) + f(-6) is equal to -16.
What is an invertible function?An invertible function refers to a type of function that is obtained by reversing the operation of a given function (f(x)).
In Mathematics, a function and its inverse function has the following property f⁻¹(f(x)) = x. By applying this property, we have:
f⁻¹(f(6.022)) = 6.022.
From the table, we have:
f⁻¹(-10) = -6
f(-6) = -10
Therefore, f⁻¹(-10) + f(-6) is given by:
f⁻¹(-10) + f(-6) = -6 - 10
f⁻¹(-10) + f(-6) = -16.
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y = x2 − 2x − 19
y + 4x = 5
Answer:
(x=4, y=-11) (x=-6, y=29)
Step-by-step explanation:
The solution is in the picture above...
At a pizza restaurant it costs $4 to make a small pizza that sells for $12, and it costs $6 to make a large pizza that
sells for $15. In one week, the restaurant spent a total of $1100 to make pizzas and sold all of them for $2910. How
many small pizzas were sold?
small pizzas were sold?
Colton solved an equation incorrectly, as shown below: Step 1: x − 13 = 26 Step 2: x = 26 − 13 Step 3: x = 39 Which statement best explains why Step 2 is incorrect in Colton’s solution?
Answer:
Step 2 explains why Colton's solution is incorrect because he subtracted 13 on both sides instead of adding it on both sides.
Hope it helps!
Answer:
'Cause he didn't use the inverse operation! ^^
Step-by-step explanation:
Heres the correct way to solve it:
x-13=26
x=26+13
x=39
The correct way is to add 13 to both sides and not subtract.
--
Hope that this helped! Best wishes.
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While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.
1 European euro = 1.3687 US dollars
m∠a=(48−x)°m∠b=(9x−38)°m∠c=90°
Answer:
Option C:
m∠a = 38°m∠b = 52°m∠c = 90°Step-by-step explanation:
Hello!
The sum of all angles in a triangle is 180°.
Add up all the angles and solve for x by setting the equation to 180°.
Solve for x∠a + ∠b + ∠c = 180°(48 - x)° + (9x - 38)° + 90° = 180°10° + 8x + 90° = 180°8x = 180° - 90° - 10°8x = 80°x = 10°Now that we solved for x, we can plug it back into each equation to solve for each angle.
Angle A48° - x48° - 10°38°Angle B9x - 38°9(10°) - 38°90° - 38°52°Angle C90°The answer is Option C:
m∠a = 38°m∠b = 52°m∠c = 90°1/4+1/10 Add or subtract. Write the answer in simplest form.
Answer:
7/20
Step-by-step explanation:
To add fractions, the first step is to get a common denominator
1/4 + 1/10
The common denominator is 20
1/4 *5/5 = 5/20
1/10 *2/2 = 2/20
5/20 + 2/20 = 7/20
Hurrry 100 points both in elimination solving show your work
1) 7x - 9y =-30
-3x - 6y = 3
2) 3x +2y =9
2x +6y=6
Answer:
2
Step-by-step explanation:
6y=18. (3₁-2). 3) -2x +9y=-4. 2x+3y=-20. (-7,-2). 5) 2x + 5y = 0 ... -10x + 5y = 30. (-3,0). 15) 3x-2y = −6 x-2y=-10. (2,6). 17) 3x +9=-3y. 3y=-5x-11.
Answer:
[tex]1. \: x = \frac{9y - 30}{7} \: x = - 1 - 2y \\ \\ 2. \: x = \frac{9 - 2y}{3} \: x = 3 - 3y[/tex]
Step-by-step explanation:
[tex]1. \: 7x = - 30 + 9y \\ 7x = 9y - 30 \\ x = \frac{9y - 30}{7} \\ \\ - 3(x + 2y) = 3 \\ x + 2y = - 1 \\ x = - 1 - 2y \\ \\ 2. \: 3x = 9 - 2y \\ \\ (x + 3y) = 6 \\ x + 3y = \frac{6}{2} \\ x + 3y = 3[/tex]
24. Kyla has 2/7the amount of cherries that Denise has. If Kyla has 46 cherries, how many cherries do they have altogether
Answer:
207
Step-by-step explanation:
Denise has 46(7/2) = 161 cherries.
So, they have a total of 161 + 46 = 207 cherries
What is equivalent? A B C OR D
please help
Answer:
[tex]8^{\frac{x}{3} }[/tex]
Step-by-step explanation:
Solve for 'x' in the following equation, explaining each step.
3^ (-3x+7) = 3^ (7x-13)
Answer:
x = 2
Step-by-step explanation:
In order to have the two sides of the equation be equal, the exponents must equal.
-3x + 7 = 7x - 13
Add 3x to both sides.
7 = 10x - 13
Add 13 to both sides.
20 = 10x
Divide by 10.
2 = x
Check:
3^(-3•2+7)=3^(7•2-13)
3^1 = 3^1
3 = 3
Which of the following inequalities matches the graph?
graph of an inequality with a solid line through the points 0, negative 2 and 2, 1 with shading above the line
3x − 2y ≥ 4
3x − 4y ≤ 2
3x − 2y ≤ 4
The correct inequality is not listed.
Answer:
The correct option is 3.
Step-by-step explanation:
It is given a graph of an inequality with a solid line through the points (0, −2) and (2, 1) with shading above the line.
The equation of a solid line is:
[tex]y-y_{1} = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } (x-x_{1})\\ y+2= \frac{1+2}{2-0}(x-0)\\ y+2= \frac{3}{2} x[/tex]
The y-intercept of the line is -2 and the shaded region is shading above the line. So, (0,0) must be lies in the shaded region.
Check the related equation by point (0,0).
0+2 =[tex]\frac{3}{2}(0)[/tex]
2 = 0
The statement is true if and only if the sign is greater than or equal instead of equal.
The required inequality is
[tex]y+2 \geq \frac{3}{2}x[/tex]
Multiply both sides by 2.
[tex]2y + 4 \geq 3x\\4\geq 3x-2y\\3x-2y \leq 4[/tex]
Therefore option 3 is correct.
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15.95 to the nearest cent
Step-by-step explanation:
95 95 branded to the nearest 10 with the number line
deter determine the two constructive multiples of 10 that bracket 95
9 is between 90 and 100
asteroid on the number line 95 is the midpoint between the 90 and 100
therefore 95 rounding to the nearest 10 is equal to 100
Select the number sentence that illustrates the associative property of addition.
A.
(2 + 3) + 4 = (3 + 2) + 4
B.
(2 × 3) × 4 = 2 × (3 × 4)
C.
(2 + 3) + 4 = 2 + (3 + 4)
D.
(2 × 3) + 4 = 2 + (3 × 4)
The expression (2 + 3) + 4 = 2 + (3 + 4) illustrates the associative property of addition option (C) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
As we know with the help of associative property we can group the terms of addition or multiplication.
a + (b + c) = (a + b) + c
Option (C)
= (2 + 3) + 4
After using the associative property:
= 2 + (3 + 4)
Thus, the expression (2 + 3) + 4 = 2 + (3 + 4) illustrates the associative property of addition option (C) is correct.
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The dimensions of a cylindrical can of pet food are shown below.
What is the volume of the can, in terms of π?
A
2.25π cubic inches
B
4.5π cubic inches
C
9π cubic inches
D
18π cubic inches
Answer:
4.5 pie cubic inches
Answer:
B. 4.5π cubic inches
Step-by-step explanation:
The volume of a cylinder is given by the formula below, where r is the radius of the base and h is the height.
[tex]\boxed{\text{Volume of cylinder}=πr^2h}[/tex]
Given: diameter= 3 in, height= 2 in.
Diameter= 2(radius)
r= 3 ÷2
r= 1.5
Substitute the value of r and h into the formula:
Volume of cylinder
= π(1.5²)(2)
= 4.5π in³
Thus, B is the correct option.
Additional:
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https://brainly.com/question/6204273Find the range of f(x) = 3x + 2 for the domain = {1, 2, 3}.
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.Interval Notation:..
(-∞,∞)
Set-Builder Notation:
{x|x∈ℝ}
The range is the set of all valid yy values. Use the graph to find the range…
Interval Notation:
(-∞,∞)
Set-Builder Notation:
{y|y∈R}
Determine the domain and range…
Domain: (−∞,∞),{x|x∈R}
Range: (−∞,∞),{y|y∈R}
Answer:
{ 5, 8, 11 }
Step-by-step explanation:
the range is the corresponding values of f(x) for the values of x in the domain.
substitute the x- values from the domain into f(x)
f(1) = 3(1) + 2 = 3 + 2 = 5
f(2) = 3(2) + 2 = 6 + 2 = 8
f(3) = 3(3) + 2 = 9 + 2 = 11
range is { 5, 8, 11 }
Si un celular Cuesta 4500 y tiene un descuento de 76%cuamto vq a pagar por el teléfono
De acuerdo con las definiciones de precio a pagar, porcentaje de descuento y porcentaje remanente, el precio a pagar por el celular es $ 1080.
¿Cuánto cuesta un celular con descuento?
En esta situación una persona recibe un descuento por la compra de su celular, el precio a pagar es el producto de multiplicar el coste sin descuento y el porcentaje remanente en forma fraccionaria. El porcentaje remanente se calcula al restar el descuento del cien por ciento. A continuación, procedemos al cálculo requerido:
x = 4500 × (1 - 76/100)
x = 1080
De acuerdo con las definiciones de precio a pagar, porcentaje de descuento y porcentaje remanente, el precio a pagar por el celular es $ 1080.
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(basic algebra) please help me with question:
image Which of the following statements is true for ∠a and ∠b in the diagram?
Answer:
You have not added a picture soi can not help answer this question.
Step-by-step explanation:
Add the picture by either taking a photo or screenshot of the question then upload it.
What is the area of the triangle pictured?
A. 612 in2
B. 540 in2
C. 555 in2
D. 531 in2
Answer:
D. 531[tex]in^{2}[/tex]
Step-by-step explanation:
I suppose these are rectangles and not triangles.
Area of Rectangle = Length x Breadth
Area of Large Rectangle = 21 x 18
= 378[tex]in^{2}[/tex]
Area of Small Rectangle = 17 x 9
= 153[tex]in^{2}[/tex]
Total Area = Area of Large Rectangle + Area of Small Rectangle
= 378 + 153
= 531[tex]in^{2}[/tex]
Which of the graphs below represents the equation 4x + y =7?
Answer:
Graph C
Step-by-step explanation:
Rearrange the terms so the equation is in slope-intercept form:
4x + y = 7
y = -4x + 7
The slope is -4, and the only graph that has a slope of -4 is graph C.
someone help me with rest please asap!!
Answer:
3. Definition of Midpoint
4. VAT, Vertical Angles Theorem
5. ASA, Angle-Side-Angle Theorem
A row operation a performed on a matrix as shown below what is the value of x?
The value of x in the second matrix is -1
How to determine the value of x?The operation is given as:
[tex]\left[\begin{array}{ccc}2&-1&1\\1&1&1\\4&-2&2\end{array}\right] \left[\begin{array}{c}4&11&5\end{array}\right] \to \left[\begin{array}{ccc}0&-3&x\\1&1&1\\4&-2&2\end{array}\right] \left[\begin{array}{c}-18&11&5\end{array}\right][/tex]
Let the rows be represented by R1, R2 and R3.
By observation, the row operation performed is:
[tex]R1 \to R1 - 2R2[/tex]
This means that:
The new elements of row 1 are gotten by subtracting twice the elements of row 2 from row 1.
Using the above operation, we have:
x = 1 - 2 * 1
Evaluate the difference
x = -1
Hence, the value of x is -1
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The graph of y=x^2-4x by drawing the line y=x-4
Answer:
the graph of y=x^2-4x is parabola as shown in the image
Step-by-step explanation:
The graph of [tex]y = x^{2} -4x[/tex] by drawing the line y=x-4
so this gives us that the line y=x-4 satisfies the equation [tex]y = x^{2} -4x[/tex]
To get points put y = x - 4 in the equation [tex]y = x^{2} -4x[/tex]
so we get x -4 = x( x- 4)
x =1 and x - 4 = 0
from here we get x = 1,4
now put these values in y = x -4
From here we get y = -3,0
so the points are (1 , -3) and ( 4 , 0)
Plot these on graph and we get the straight line .
For equation [tex]y = x^{2} -4x[/tex]
As we know it is of type of parabola with shifted centre.
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If L (-5,4),M(2,2), N(0,-3), S(-7,-1), what is the length of diagonal LN
The length of the diagonal LN would be 8.60 units.
To find the distance between the two coordinates, We use distance formula ;
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Lets put the values of L and N,
d= [tex]\sqrt{(0 - -5)^2 + (-3-4)^2}[/tex]
d =[tex]\sqrt{25+49}[/tex]
d= [tex]\sqrt{74}[/tex]
d= 8.60 units
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Find (gof)(3)
f(x) = x + 21
g(x) = -x²
a. -25
C.
4
b. 1
d. -15
Please select the best answer from the choices provided
A function assigns the values. The value of (gof)(3) is -576.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
Given f(x)=x+21 and g(x)=-x², therefore, the value of (gof)(x) will be,
(gof)(x) = g(f(x))
= -(x+21)²
The value of (gof)(3) will be,
(gof)(3) = -(3+21)²
= -576
Hence, the value of (gof)(3) is -576.
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Here is a list of numbers: 3.9 , 7 , 3.3 , 1 , 1.4 , 1.7 , 2.1 , 3.3 , 5.2 State the median. Give your answer as a decimal.
The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number.
When there are two middle numbers we average them.
We have:
3.9, 7, 3.3, 1, 1.4, 1.7, 2.1, 3.3, 5.2
Let's sort the numbers from the smallest to the largest
1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7
The median is 3.3Answer:
3.3
Step-by-step explanation:
The first thing you have to do is put them in order from least to greatest.
1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7
Check off one from the left side and one from the right side until you are left with the one in the middle.
When you do that, you are left with 3.3
Write down in terms of n, an expression for the nth term of the following sequences:
a) 12 10 8 6 4
b) 25 20 15 10 5
Answer:
The formula for an arithmetic sequence is:
an = a1 + (n - 1)d
In which a1 is the first term and d is the common difference.
a) 12, 10, 8, 6, 4
an = 12 + (n - 1)-2
an = 12 -2n + 2
an = -2n + 14
b) 25, 20, 15, 10, 5
an = 25 + (n - 1)-5
an = 25 -5n + 5
an = -5n + 30
The graph represents the piecewise function:
Answer:
in the attachment
Step-by-step explanation:
Given: Piece-wise function graph.
We need to find the function.
In the graph, we can see a two-piece
For -3≤x≤0
Endpoints on graph (-3,-6) and (0,0)
It is the horizontal line. The equation of the horizontal line is y=k.
Equation: y=3
Now, we write as a piecewise function.
First blank = 2x
Second Blank = 3
hope this helps:)