The clothing in the store is separated into strata, each of which is a rack of items with comparable prices. An illustration of the use of a stratified random sample is the mean price calculated using the randomly chosen articles of clothing from the strata.
Describe a random sample.In the random sampling method of sampling, each sample has an equal chance of being chosen. In order to fairly represent the entire population, a sample is chosen at random. From a pool of 250 employees, 25 names could be chosen at random to represent a simple random sample. The sample in this case is random, and the population in this case is the employees since each has an equal chance of being chosen.
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hi please help me..this is a multiple choice
Answer:
Step-by-step explanation:
A and D are the answers that I would pick
Answer:
B and C
Step-by-step explanation:
- 1 / -3 = 1/3, we know negative divide by a negative number = positive
- -1/3 = 1/3, we know negative times negative = positive
Can someone please help me
q1 suppose you take a sample of 16 people and ask them how fast they drive on interstate 94. after collecting your sample, you calculate that the mean is 75mph with a variance of 9mph. calculate a 90% confidence interval for the average speed of all drivers on i94.
A 90% confidence interval for the average speed of all drivers on interstate 94 is (73.69, 76.31)
Given that,
Imagine asking a sample of 16 people how quickly they travel on Interstate 94. You determine the average speed to be 75 mph and the variance to be 9 mph after gathering your sample.
Solution is as given below :
90% Confidence Interval for μ is
μ = X ± tₐ/2 (n-1) 5/[tex]\sqrt{n}[/tex]
μ = 75 ± (1.75) * 3/[tex]\sqrt{16}[/tex]
μ = (73.69, 76.31)
Consequently, a 90% confidence interval for the interstate 94 average speed of all drivers is μ = (73.69, 76.31)
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2(20x8) + 2(20x3)+2(8x3)
Answer:
488
Step-by-step explanation:
2(20x8) + 2(20x3)+2(8x3)
Assuming the "x" is not a variable.
The answer is 488
However, if "x" is a variable. The equation would be
40x^8 + 56x^3
Answer:
488
Step-by-step explanation:
using BODMAS
METHOD 1.
[tex]2(20 \times 8) + 2(20 \times 3 + 2(8 \times 3) \\ = 2(160) + 2(60) + 2(24) = \\ = 320 + 120 + 48 \\ = 448[/tex]
METHOD 2.
[tex]2(20 \times 8) + 2(2 \times 3) + 2(8 \times 3) \\ = 2(160) + 2(60) + 2(24) \\ = 2(160 + 60 + 24) \\ = 2 \times 244 \\ =488[/tex]
which is the name for the level of the independent variable intended to represent a neutral condition?
The level of a independent variable known to as the "Control group" is designed to portray a neutral state.
Define the term independent variable?The cause is the independent variable. Its value is unaffected by the other study variables.
You plan a study out whether variations in the room's temperature have an impact on students' math test results.
The interior temperature of the space is your independent variable. By making the room cooler for 1⁄2 the participants and warmer for other half, you can change the temperature.Experimental findings in mathematics are your dependent variable. Using a standardized test, you measure each participant's math prowess to see if there are significant temperature-related differences.Consequently, "control group" refers to a level of such an independent variable that is meant to stand in for "no treatment" or a neutral circumstance.
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Need help ASAP find the value of x in the triangle below
Answer:
x = 12
Step-by-step explanation:
Creating an equationAngles in a triangle add up to 180 degrees.
This means that 6x - 19 + 3x + 7 + 84 = 180
Solving for x6x - 19 + 3x + 7 + 84 = 180
==> combine like terms
9x + 72 = 180
==> subtract 72 from both sides
9x = 108
==> divide both sides by 9
x = 12
find the product and represent in the simplest form of 12/17 × 3/8
Answer:
9/34
Step-by-step explanation:
I find when multiplying fractions, its easier to separate them into the numerator and denominator.
So we have 12 x 3, and 17 x 8
12 x 3 = 36
17 x 8 = 136
So we have 36/136
Simplified, that is 9/34
Write the first four terms of the sequence defined by the explicit rule. f(n) = 3n + 6
The first four terms of the sequence would be -
9, 12, 15, 18
What is a Sequence?Number sequence is a progression or an ordered list of numbers governed by a pattern or rule. For example -
3, 6, 9, 12, 15
x, x + 2, x + 4, x + 6
We have the following sequence -
f(n) = 3n + 6
We can write the first four terms as -
f(1) = 3 x 1 + 6 = 9
f(2) = 3 x 2 + 6 = 12
f(3) = 3 x 3 + 6 = 15
f(4) = 3 x 4 + 6 = 18
Therefore, the first four terms of the sequence would be -
9, 12, 15, 18
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In this figure, lines L and M are parallel.
What is the measure of angle w?
60\degree60°
100\degree100°
120\degree120°
128\degree128°
Divide and answer in simplest form: 45 ÷ 2
Answer:22.5
Step-by-step explanation:
the cat and rabbit's weight is 10 kg and so the dog and rabbit is 20 kg and the dog and cats weight isn24 kg so the question is what their weight togetheer> cat,dog,rabbit??
Answer:
27
Step-by-step explanation:
The cat weighs 7 kg.
The rabbit weighs 3 kg.
The dog weighs 17 kg.
You can check these answers by adding them together.
A cat plus the rabbit is 10 kg.
The rabbit and the dog is 20 kg.
The dog and cat is 24 kg.
Three consecutive even integers have the property that when the product of the first two is taken, the result is four less than the square of the third one. What are the integers?
The three consecutive even integers are -2, 0 and 2.
How to calculate the value?Let the three consecutive even integers be x, x+2 and x+4.
Since the product of the first two is taken, the result is four less than the square of the third one. This will be:
x(x + 2) = (x + 4)² - 4
x² + 2x = x² + 8x + 16 - 4
x² + 2x = x² + 8x + 12
Collect like terms
x² - x² + 2x - 8x - 12
-6x - 12 = 0
-6x = 12.
Divide
x = -12/6
x = -2
x + 2 = -2 + 2 = 0
x + 4 = -2 + 4 = 2
They're -2, 0, and 2.
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If Eof= 26 and FOG= 38, then what is the measure of BOG? The diagram is not to scale.
If EOF = 26 and FOG= 38, then the measure of BOG would be 64 degrees.
What is a measure of angle?
An angle is measured in degrees, thus the term "degree measure." Because one complete revolution equals 360 degrees, it is divided into 360 parts. Each stage of the revolution represents a degree.
The given data:
A measure of EOF = 26 and a measure of FOG = 38.
Then we can say that OF is an angle bisector of angle EOG.
Then the measure of BOG = EOF + FOG
= 26 + 38
= 64 degrees.
Hence, If EOF = 26 and FOG= 38, then the measure of BOG would be 64 degrees.
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in how many ways can a community. of five be selected from eight students if two particular students are to be included.
To select the community, there are 20 ways available.
What is Combination?
A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant.
Solution:
Since 2 particular students are to be included,
we have to arrange 3 students from 6 students.
nCr = n! / (n-r)!*r!
6C2 = 6!/ (6-3)! 3!
6C2 = 6*5*4*3!/ 3! * 3*2
6C2 = 5*4 = 20
Thereofre, there exists 20 ways of doing the above mentioned.
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find the missing side lengths, leave your answer in simplest form.
The missing side lengths are (m = 4[tex]\sqrt{6}[/tex] , n = 6[tex]\sqrt{2}[/tex]).
According to given triangle, Using triangular formula;
tan 30 = [tex]\frac{2\sqrt{6} }{n}[/tex]
⇒[tex]\frac{1}{\sqrt{3} }[/tex] = [tex]\frac{2\sqrt{6} }{n}[/tex]
⇒ n = [tex]6\sqrt{2}[/tex]
n = [tex]6\sqrt{2}[/tex]
Similarly,
sin 30 = [tex]\frac{2\sqrt{6} }{m}[/tex]
⇒ [tex]\frac{1}{2}[/tex] = [tex]\frac{2\sqrt{6} }{m}[/tex]
⇒ m = [tex]4\sqrt{6}[/tex]
m = [tex]4\sqrt{6}[/tex]
so,
m = [tex]4\sqrt{6}[/tex] and n = [tex]6\sqrt{2}[/tex]
So, the correct option is D.
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algebra 2 help needed!
As per the given equation of the parabola, the directrix of the parabola is equal to y = -2.5.
What is directrix?
A directrix in mathematics is a curve which is associated with the process generating a geometric object, such as:
Directrix - conic section
Directrix - generatrix
Directrix - rational normal scroll
The equation of a quadratic function, with vertex (h,k), is:
y = (a)(x - h)² + k
In which, a is the leading coefficient.
The directrix is: y = k + 4a.
In this problem, the equation of parabola is given as:
y = (1/8)(x-2)² - 3
The coefficients in the given equation are a = 1/8 = 0.125,
h = 2, k = -3,
Hence the directrix is given by:
y = -3 + 4 x 0.125
y = -3 + 0.5
y = -2.5.
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HELP PLEASE QUICKLY THANKS
Graph will shift in both horizontal and vertical direction by 4 units.
What is straight line?
An unending, one-dimensional figure with no width is a straight line. It consists of an infinite number of points connected on either side of a point. There is no curvature in a straight line. It might be angled, vertical, or horizontal.
What is general equation of a Straight Line?
The general equation of a straight line can be given as ax + by + c = 0, where
a, b, c are constants, andx, y are variables.The slope is -a/bWhat do you mean by function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain. The usual way to refer to a function is as fn(x), where x is the input.
We have function,
fn(x) = x + 5
when the graph is translated by 4 units, we can write it as;
g(x) = fn(x) + 4
the graph will shift in both horizontal and vertical direction by 4 units as it can be seen in the graph.
Therefore, graph will shift in both horizontal and vertical direction by 4 units.
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Darryl’s portfolio includes 66 shares of Essentia Inc., 95 shares of SFT Legal, and 180 shares of Grath Oil. If Essentia Inc. pays a yearly dividend of $1.79 per share, SFT Legal pays $2.62 per share, and Grath Oil pays $1.18 per share, how much does Darryl receive in dividends every year?
Darryl receive $579.44 in dividends every year .
In the question ,
it is given that
Darryl's portfolio
number of shares of Essentia Inc. = 66
dividend received from each share in a year = $1.79 per share
So , amount of dividend received from Essentia Inc. = 66 × 1.79
= $118.14
number of shares of SFT Legal = 95
dividend received from each share in a year = $2.62 per share
So , amount of dividend received from SFT Legal = 95 × 2.62
= $248.9
number of shares of Grath Oil = 180
dividend received from each share in a year = $1.18 per share
So , amount of dividend received from Essentia Inc. = 180 × 1.18
= $212.4
So , total dividend Darryl receives = $118.14 + $248.9 + $212.4
= $579.44
Therefore , amount of dividend received by Darryl each year is $579.44 .
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I NEED HELP PLS I GIVE YOU POINTS
Answer:
Option D: 160 square feet
Step-by-step explanation:
Area of the lawn
= (7 feet × 8 feet) + (13 feet × 8 feet)
= 56 square feet + 104 square feet
= 160 square feet
please help me with this math problem
Answer:
[tex]\sf \dfrac{1}{2}-\dfrac{1}{8}=\dfrac{\boxed{4}}{8}-\dfrac{1}{8}=\dfrac{\boxed{3}}{\boxed{8}}[/tex]
Step-by-step explanation:
When adding or subtracting fractions that have different denominators, first rewrite the fractions as equivalent fractions with the same denominator. To do this, find the lowest common multiple (LCM) of the denominators.
The given subtraction is:
[tex]\sf \dfrac{1}{2}-\dfrac{1}{8}[/tex]
The LCM of the denominators 2 and 8 is 8. Therefore, we need to rewrite the first fraction as an equivalent fraction with 8 as its denominator. To do this, multiply its numerator and denominator by 4:
[tex]\implies \sf \dfrac{1}{2} \times\dfrac{4}{4}=\dfrac{4}{8}[/tex]
Therefore:
[tex]\implies \sf \dfrac{1}{2}-\dfrac{1}{8}=\dfrac{4}{8}-\dfrac{1}{8}[/tex]
To subtract fractions with the same denominator, simply subtract the numerators. (The denominator stays the same).
[tex]\implies \sf \dfrac{1}{2}-\dfrac{1}{8}=\dfrac{4}{8}-\dfrac{1}{8}=\dfrac{4-1}{8}=\dfrac{3}{8}[/tex]
Final solution
[tex]\sf \dfrac{1}{2}-\dfrac{1}{8}=\dfrac{\boxed{4}}{8}-\dfrac{1}{8}=\dfrac{\boxed{3}}{\boxed{8}}[/tex]
an equilateral triangle and a regular hexagon have perimeters of the same length. if the area of the triangle is 2 square units, what is the area of the hexagon?
The area of hexagon is found to be 18 square units by using the giving conditions.
What is the equation for calculating a hexagon's perimeter?P = 6a, where an is the length of one of its sides, is the formula for a regular hexagon's perimeter. Here, the hexagon's interior angles are all 120 degrees.
How do you calculate a hexagon's area?The formula for calculating the area of a hexagon is derived from the formula for calculating the area of an equilateral triangle since a regular hexagon is made up of six equilateral triangles. The formula for calculating a hexagon's area is 6([tex]\sqrt{3}[/tex]/4)a² where a is the regular hexagon's side length.Given: The perimeters of an equilateral triangle and a regular hexagon are equal.
We need to find the area of the hexagon.
Let,
x = side of trainagle
a = side of hexagon
3x = 6a
x = 2a
Area of equilateral triangle = ([tex]\sqrt{3}[/tex]/4)x² = 12 square units
Area of hexagon is given as follows:
= 6([tex]\sqrt{3}[/tex]/4)a²
= (6[tex]\sqrt{3}[/tex]/4)(x²/4)
= 12(6)/4
= 18 square units
Therefore, the area of hexagon is found to be 18 square units by using the giving conditions.
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solve
14+3h = 5h
h= .....
Answer:
h=2
h= -7/5
hope this helped :)
Solve for x:-
[tex]\sf 5 + 2x = 2x + 6[/tex]
Answer:
No solution (0 = 1)
Step-by-step explanation:
Given equation,
→ 5 + 2x = 2x + 6
Then the value of x will be,
→ 5 + 2x = 2x + 6
→ 2x = 2x + 6 - 5
→ 2x - 2x = 1
→ 0 = 1
Hence, there is no solution.
[tex]\boxed{\begin{array}r \large{ \tt solution \: : } \: \: \: \: \: \\ \\ { \longrightarrow5 + 2x = 2x + 6} \\ \\ \\ ( \sf 2x \: \: present \: \: on \sf\: \: both \: \: \\ \sf sides \: \: of \: \: equality \: \: \: \\ \sf \: \: gets \: \: \sf canceled\: \: out) \\ \\ \sf \longrightarrow5 \neq6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \tt \: \: therefore \: \: there \: \: is \\ \tt no \: \:solution \: \: for \: \: x \: \: \\ \\ \tt that \: \: is \: \: no \: \: value \: \: \: \: \\ \tt \: of \: \: x \: \: that \: \: satisfies \\ \tt the \: \: given \: \: equation\end{array} }[/tex]
let s be the total amount heidi spent for scarves. each of the 4 scarves that she bought cost the same. write an expression for the cost of each scarf
The expression for the cost of each scarf is s/4.
According to the question,
We have the following information:
Let s be the total amount Heidi spent for scarves. each of the 4 scarves that she bought cost the same.
Now, the cost of 1 scarf can be easily found by dividing the total cost of the scarves by the number of scarves.
(If we would have to find the cost of 15 scarves then first we would have used division and then multiplication.)
So, we have the following expression:
4 scarves = s
Cost of one scarf = s/4
Hence, the expression for the cost of each scarf is s/4.
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help me please please please triangle 2222
The surface area of the triangular prism is 936 cm².
How to find the surface area of a triangular prism?In geometry, a triangular prism is a three-sided prism.
Therefore, the surface area of the triangular prism can be calculated as follows:
surface area of triangular prism = bh + L(x + y + z)
where
b and h are the base and height of the triangular baseL is the height of the prism.x, y and z is the side of the triangle.Therefore,
surface area of triangular prism = 24 × 18 + 7(18 + 30 + 24)
surface area of triangular prism = 432 + 7(72)
surface area of triangular prism = 432 + 504
surface area of triangular prism = 936 cm²
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I am stuck on the last part can u please help me?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
66.6% = 0.6666... = [tex]\frac{2}{3}[/tex]
Answer:
Fraction = 2/3
Step-by-step explanation:
Given information,
→ Percentage = 66.6%
→ Decimal = 0.6
→ Fraction = ??
Then the required fraction is,
→ Percentage ÷ 100
→ 66.6/100
→ 2/3
Hence, the fraction is 2/3.
A bag of chocolate mix that weighed 1/4 of a kilogram could make enough brownies to feed 1/7 of the students at school. How many bags would be needed to feed all of the students?
Answer:
1/28 kilo
Step-by-step explanation:
sb help me on my recent please
Jade ha 28 triangle card. He ha 4 time a many trading card a jordan. How many trading card do they have altogether
Jade and Jordan both have a total of 35 trading cards altogether.
Given, Jade has 28 trading cards. He has 4 times as many trading cards as Jordan.
As, Jade has 28 trading cards
Let Jordan has 'x' trading cards.
Now, as Jade has 4 times as many trading cards as Jordan.
So, 28 = 4x
4x = 28
x = 7
So, Jordan has 7 trading cards.
Now, they both have a total of 35 trading cards altogether.
Hence, Jade and Jordan both have a total of 35 trading cards altogether.
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lins bike travels 100 meters when her wheels rotate 55 times . whats the circumferences of her wheels
Answer:
Using formula to calculate the circumference of wheel: c=d/n
where
D is the distance bike travel
n is the number of times rotation
C is the circumference of the wheel
As per the statement:
Lin’s bike travels 100 meters when her wheels rotate 55 times.
here, n = 55 rotation and D = 100 meter.
then by definition:
meter c=100/55=20/11
Therefore, the circumference of her wheel is 1 9/11
What is the image point of (-8, 1) after the transformation 7x-axis R180°?
The image point of (-8, 1) after the transformation D₂ о R180° is equal to (16, -1).
What is a rotation?A rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).
For a dilation with a scale factor of 2, we have:
Point A (-8, 1) → (-8 × 2, 1 × 2) = Point A' = (-16, 2)
By applying a rotation of 180° to the given point, the coordinates of its image is given by:
(x, y) → (-x, -y)
Points A' = (-16, 2) → Points A' = (-(-16), -(1)) = (16, -1).
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Complete Question:
What is the image point of (-8, 1) after the transformation D₂ о R180°?
