An opinion poll survey based on a sample of a small section of people is likely to provide the most accurate results.
What is an opinion poll?An opinion poll, often known as a poll or survey, is a human research survey of the general public from a specific sample. By asking a series of questions and extending generalizations into ratios or confidence intervals, opinion polls are often created to represent the opinions of a population. A person who conducts polls is referred to as a pollster.
An opinion poll is a survey that samples a tiny portion of the population in an effort to forecast election outcomes or gauge popular sentiment toward various concerns.
Learn more about Opinion Polls here:
https://brainly.com/question/10404069
#SPJ4
In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement RQ⎯⎯⎯⎯⎯⎯⎯⎯≅ R Q ¯ ≅ ___
Based on the CPCTC theorem, the complete statement is: RQ ≅ RT.
What is the CPCTC Theorem?According to the CPCTC theorem, if two triangles are said to be congruent, then all the corresponding parts of both triangles are congruent.
Given that ΔPQR ≅ ΔSTR, RQ corresponds to RT. Therefore, both sides are congruent to each other.
Thus, the complete statement is: RQ ≅ RT.
Learn more about the CPCTC theorem on:
https://brainly.com/question/14706064
#SPJ1
The point-slope form of the equation of of the line that passes through (-4, -3) and (12, 1) is y - 1 = 1/4(x - 12). What
is the standard form of the equation for this line?
O x- 4y = 8
O x-4y=2
O 4x-y= 8
O 4x-y=2
Answer: [tex]\frac{1}{4}[/tex]x - y = 2
Step-by-step explanation:
Standard form is Ax + By = C where A, B, and C, are integers.
Given:
y - 1 = 1/4(x - 12)
Distribute:
y - 1 = [tex]\frac{1}{4}[/tex]x - 3
Add 3 to both sides of the equation:
y + 2 = [tex]\frac{1}{4}[/tex]x
Subtract y from both sides of the equation:
2 = [tex]\frac{1}{4}[/tex]x - y
Apply the reflexive property:
[tex]\frac{1}{4}[/tex]x - y = 2
-10 -8 -6 -42
10
8
6
41
2
-2
-4
-6
-8
+10
y
2
4 6 8 10
x
Study th
to find its
The equ
Answer: [tex]y=x+2[/tex]
Step-by-step explanation:
The slope is
[tex]\frac{0-2}{-2-0}=1[/tex]
since the y-intercept is 2, the equation is [tex]y=x+2[/tex]
Which is the equivalent expression of 78?
2 × (10 × 3 + 32)
2 × (13 + 32)
(10 × 3 + 32)
2 × (10 × 3 + 3)
None of the expressions is equivalent to 78
How to determine the equivalent expression?The number is given as:
Number = 78
Next, we evaluate the expressions in the options using a calculator
2 × (10 × 3 + 32) = 124
2 × (13 + 32) = 90
(10 × 3 + 32) =62
2 × (10 × 3 + 3) = 66
None of the options equals 78
Hence, none of the expressions is equivalent to 78
Read more about equivalent expression at:
https://brainly.com/question/27911936
#SPJ1
Suppose A and B are 2x2 matrices and that AB = BA =
which of the following statements is correct?
Based on the matrices given, the true statement on matrices AB = BA is A. A⁻¹ = ¹/₃B.
What is true on AB = BA?If:
AB = BA = [3 0]
[0 3]
Then:
AB = BA = 3 [1 0]
[0 1]
This can be further written as:
AB = BA = 3I₂
And again as:
A (¹/₃ B) = I
This then allows us to either write this as:
A⁻¹ = ¹/₃ B
Or:
B⁻¹ = ¹/₃ A
In conclusion, option A is correct.
Find out more on matrices as https://brainly.com/question/1821869.
#SPJ1
please help! i will give u 20 points I need the answer with the method
Answer:
6 mm
Step-by-step explanation:
So, the area he needs to fill isn't really important, you don't need to calculate it. What is necessary is the individual dimensions of that area (width/length). The width and the length must be divisible by the lengths of the tiles. This is so you don't need to cut anything. For example let's say the area needed to be filled was 15 mm (width) by 10 mm (length). If I chose 3mm square tiles, it could perfectly fill up the width, but when it came to the length there would be a small 1 mm gap. And you would need to cut one of the square tiles, so it would have a length of 1 mm. In this case the 15mm was divisible by 3, but the 10 mm wasn't. So using this logic, it can't be the 4 mm square tile since 150mm / 4 mm = 37.5. It can be the 6m since 150mm / 6mm = 25 and 180 mm / 6mm = 30. It can't be the 8 mm since 150 mm / 8mm = 18.75 mm
pls help me answer this
Diagram 3 shows a composite solid, formed by joining a half m-cylinder with a right prism. ABKJ is the cross - section of the right prism. MK is the diameter of the half - cylinder Given BK 28 cm, AJ = 14 and AE = 20 cm, The volume of the composite solid is 17000 cm³
Using
[tex]\pi = \frac{22}{7} [/tex]
calculate the value of h
Answer: 30 cm
Step-by-step explanation:
The volume of the composite solid is 17000 cm³. To find h, we must first subtract the volume of the half cylinder from the composite volume.
From the figure, AE = MK, and so the radius of the half cylinder is 10cm. The volume of the half cylinder is thus [tex]\frac{1}{2}[/tex] the volume of a cylinder. The volume of a cylinder is πr²h. So a half cylinder is 1/2 πr²h. This gives us a volume of [tex]\frac{1}{2} (\frac{22}{7})(10 cm)^2(28 cm) = 4400 cm^3[/tex].
Thus, the volume of the right prism is 17000cm³ - 4400cm³ = 12600cm³. Consider the cross-section ABKJ. If we multiply this by AE, we'll have the volume of the right prism.
The ABKJ is a trapezoid so it's area is [tex]\frac{1}{2}(AJ + BK) \cdot AB[/tex]. Thus the volume of the right prism is [tex]\frac{1}{2}(AJ + BK) \cdot AB \cdot AE[/tex]. This gives us [tex]\frac{1}{2}(28 + 14) \cdot h \cdot 20 = 12600[/tex], and thus h = 30 cm.
find the value of 7 + 15 + 23 +...+ 767 + 775 + 783
Answer:
38,710.
Step-by-step explanation:
This is an arithmetic series with common difference 8 , first term a = 7 and last term L = 783.
The number of terms n = (783 - 7) / 8 + 1 = 98
Sum of 98 terms = (n/2)[a + L)
= (98/2)(7 + 783)
= 49 * 790
= 38,710.
GEOMETRY HELP ME PLS PLS!!!! THE FOLLOWING ROMBUS!!
Answer:
12
Step-by-step explanation:
Diagonals of a rhombus bisect each other at right angles, so in triangle JNK, we have JK=20 and JN=16.
Using the Pythagorean theorem, it follows that KN = 12.
choosing a spade, not replacing it, then choosing a jack
Answer:
Probability means Possibility. It states how likely an event is about to happen. The probability of an event can exist only between 0 and 1 where 0 indicates that event is not going to happen i.e. Impossibility and 1 indicates that it is going to happen for sure i.e. Certainty.
The higher or lesser the probability of an event, the more likely it is that the event will occur or not respectively. For example – An unbiased coin is tossed once. So the total number of outcomes can be 2 only i.e. either “heads” or “tails”. The probability of both outcomes is equal i.e. 50% or 1/2.
A sock drawer contains 5 different colors of socks. it has 20 white, 10 black, 6 red, and 4 purple. if you reach into the drawer and choose a sock randomly, what is the probability you will get a a black sock? (write your final answer as a fraction.)
The probability of selecting a black sock is 1/4.
What is the required probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. It is more likely that an event will occur if its probability is higher.
Number of white socks=20
Number of black socks=10
Number of red socks=6
Number of purple socks=4
Total number of socks=20+10+6+4
=40
Probability of getting a black sock=Number of black socks/Total number of socks
=10/40
=1/4
Learn more about probability here:
https://brainly.com/question/24756209
#SPJ4
given cos data = 0.7620, approximate the acute angle to the following
a. the nearest 0.01
The acute angle is 40.40 degrees
How to determine the acute angle?The cosine of the angle is given as:
cos(x) = 0.7620
Take the arc cos of both sides
[tex]x = \cos^{-1}(0.7620)[/tex]
Evaluate the arc cos
x = 40.359
Approximate
x = 40.40
Hence, the acute angle is 40.40 degrees
Read more about cosine at:
https://brainly.com/question/17954123
#SPJ1
suppose g(x)=f(x+2)-3 wich statement best compares the graph of g(x) with the graph of f(x)
Answer:
xyucyxxhc9gohjpbkvicucucuc7vucuc7cucuc7cuvuv8v8
Step-by-step explanation:
q+++
I need your help :))
Question is:
Make a pattern and explain the rule the pattern follows. Use a minimum of 3 terms within your pattern.
The pattern {1, 3, 5, ...} is an arithmetic sequence with the following rule:
[tex]a_n = 1 + 2(n - 1)[/tex].
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
The pattern {1, 3, 5, ...} has first term and common difference given, respectively, by:
[tex]a_1 = 1, d = 2[/tex]
Hence the rule for the pattern is given by:
[tex]a_n = 1 + 2(n - 1)[/tex].
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
#SPJ1
2x2 – 9x + 2 = –1 discrimiant
By applying the concept of discriminant, the discriminant of the quadratic equation 2 · x² - 9 · x + 2 = - 1 is equal to 57.
How to determine the discriminant of a quadratic equation
For a quadratic equation of the form a · x² + b · x + c = 0, the discriminant is equal to d = b² - 4 · a · c. In this problem we must transform the polynomial into the canonical form and calculate the discriminant:
2 · x² - 9 · x + 2 = - 1
2 · x² - 9 · x + 3 = 0
d = (-9)² - 4 · (2) · (3)
d = 81 - 24
d = 57
By applying the concept of discriminant, the discriminant of the quadratic equation 2 · x² - 9 · x + 2 = - 1 is equal to 57.
To learn more on quadratic equations: https://brainly.com/question/2263981
#SPJ1
Which of the following systems of linear inequalities is represented by the
solution graphed below?
The inequalities represented by the graph are; y > -1 and y <= -x.
What are the inequalities described by the graph?The graph as shown in the task content includes the horizontal line; y = -1 and the line; y = -x.
However, the area shaded in the graph coincides with the upper area of y = -1 with broken lines as boundary and the lower area of line; y = -x with a solid boundary line.
Ultimately, the graph represents the inequalities y > -1 and y <= -x.
Read more on inequalities;
https://brainly.com/question/24372553
#SPJ1
Answer:The inequalities represented by the graph are; y > -1 and y <= -x.
What are the inequalities described by the graph?
The graph as shown in the task content includes the horizontal line; y = -1 and the line; y = -x.
However, the area shaded in the graph coincides with the upper area of y = -1 with broken lines as boundary and the lower area of line; y = -x with a solid boundary line.
Ultimately, the graph represents the inequalities y > -1 and y <= -x.
Step-by-step explanation:
Geometry question I need help with this one
First part;
Following the transformation (x, y) → (3•x, 2•y), the images are;
A'(9, 10), B'(15, 6), C'(6, 4)
Second part;
The distance between points A and B is 2•√2 which is different from the distance between the image A' and B' which indicates that the transformation is a non rigid transformation.
How can the images and the type of transformation be found?First part;
The given points are;
A(3, 5), B(5, 3), C(2, 2)The given transformation is presented as follows;
(x, y) → (3•x, 2•y)
Therefore, the images are;
A(3, 5) → A'(3 × 3, 2 × 5) = A'(9, 10)
B(5, 3) → B'(3 × 5, 2 × 3) = B'(15, 6)
C(2, 2) → C'(3 × 2, 2 × 2) = C'(6, 4)
A(3, 5) → A'(9, 10)B(5, 3) → B'(15, 6)C(2, 2) → C'(6, 4)Second part;
Length of AB = √((5-3)² + (3-5)²) = 2•√2
Length of A'B' = √((15-9)² + (6-10)²) = 2•√13
2•√2 ≠ 2•√13AB ≠ A'B'Given that the length of AB ≠ the length of A'B' then we have;
The transformation is not a rigid transformation.Learn more about rigid transformations here:
https://brainly.com/question/1462871
#SPJ1
The points of the image are (9, 10), (15, 6) and (6, 4) and the resulting image is a nonrigid motion.
How to determine the image of the points?The points are given as:
A = (3, 5)
B = (5, 3)
C = (2, 2)
The transformation is given as:
(x, y) ⇒ (3x, 2y)
So, we have:
A' = (9, 10)
B' = (15, 6)
C' = (6, 4)
Hence, the image of the transformation is (9, 10), (15, 6) and (6, 4)
See attachment for the image
Also, the resulting image is a nonrigid motion.
This is so because the lengths of the image and the preimage are not equal
Read more about dilation at:
https://brainly.com/question/13176891
#SPJ1
Rectangle ABCD is congruent to rectangle URST.
Rectangles A B C D and U R S T are congruent. The length of sides A B is 9 millimeters and the length of sides R S is 15 millimeters.
What is the area of rectangle URST?
24 mm
48 mm
135 mm2
The area of the rectangle URST is 135 mm². so the option C is correct.
What are Congruent rectangles?Congruent rectangles have the same lengths of sides, same measures of angles and same areas and same perimeters
The Rectangle ABCD is congruent to rectangle URST
Given; Rectangle ABCD ≅ rectangle URST
AB = UR , BC = RS , CD = ST , AD = UT
AB = 9 millimeters
UR = 9 millimeters
We know that, The area of any rectangle = l × w,
In rectangle URST
∵ UR = 9 millimeters
∵ RS = 15 millimeters
- Assume that UR = l and RS = w
The area of rectangle URST = UR × RS
The area of rectangle URST = 9 × 15 = 135 millimeters²
Hence, The area of rectangle URST is 135 mm²
Learn more about rectangle here;
https://brainly.com/question/13307509
#SPJ1
Identify the 8th term of the given geometric sequence. 1/2, 2, 8, 32,...
A geometric sequence goes from one term to the next by always multiplying or dividing by the constant value except 0. The constant number multiplied (or divided) at each stage of a geometric sequence is called the common ratio (r).
We have:
[tex]a_1=\dfrac{1}{2}\\\\a_2=2\\\\a_3=8\\\\a_4=32\\\vdots[/tex]
Find the common ratio:
[tex]\boxed{r=\dfrac{a_n}{a_{n-1}}}\Rightarrow r=\dfrac{2}{\frac{1}{2}}=\dfrac{8}{2}=\dfrac{32}{8}=...\\\\\boxed{r=4}[/tex]
The formula of the n-th term of a geometric sequence:[tex]\boxed{a_n=a_1\cdot r^{n-1}}[/tex]
Substitute:
[tex]a_1=\dfrac{1}{2},\ r=4,\ n=8\\\\a_8=\dfrac{1}{2}\cdot4^{8-1}=\dfrac{1}{2}\cdot4^7=\dfrac{1}{2}\cdot16384\\\\\huge\boxed{a_8=8192}[/tex]
Method step by step:[tex]a_4=32,\ r=4\\\\a_5=a_4\cdot r\Rightarrow a_5=32\cdot4=128\\\\a_6=a_5\cdot r\Rightarrow a_6=128\cdot4=512\\\\a_7=a_6\cdot r\Rightarrow a_7=512\cdot4=2048\\\\a_8=a_7\cdot r\Rightarrow a_8=2048\cdot4=8192[/tex]
(01.04 LC)Multiply negative 1 over 6 multiplied by negative 1 over 5. negative 1 over 11 negative 1 over 30 1 over 30 1 over 11
The expression is -1/6 x (-1/5) = 1/30.
What is expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given:
negative 1 over 6 multiplied by negative 1 over 5.
As per the data,
if -1/6 is multiplied with -1/5 then the resultant value will be
=-1/6 * -1/5
= 1/5*6
=1/30
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ1
porfaaaaaaa ayudaaaaaaa
Determine el dominio y el rango de la siguiente función.
f(x)=-25-x+50
The domain and the range of f(x) = -25x + 50 are the set of all real numbers
How to determine the domain and the range?The function is given as:
f(x) = -25x + 50
The above function is a linear function.
All linear functions have their domain and range to be the set of all real numbers
Hence, the domain and the range of f(x) = -25x + 50 are the set of all real numbers
Read more about domain and range at:
https://brainly.com/question/1632425
#SPJ1
What is the slope of the line represented by the equation y=x/6 −5 ?
−5
1/6
5/6
6
Answer:
slope is the gradient(coefficient of (x) in the equation .We have [tex] \frac{x}{6} [/tex]which can also be written as [tex] \frac{1}{6} x \: therefore \: the \: slope \: is \: \frac{1}{6} [/tex]Answer:
1/6
Step-by-step explanation:
Solution:
The given equation is:y=x/6 -5
arranging the equation :x/6-y=5
Given,
Coefficient of x=1/6
coefficient of y=-1
So,
Slope(m)=-(Coefficient of x/coefficient of y))
= -(1/6 / -1) {minus divided by - becomes plus }
1 by 6 whole divide by 1
= 1/6 ans✓
A man is dealt 4 spade cards from an ordinary deck of 52 cards. If he is given five more, what is the probability that none of them are spades
The probability that none of them are spades is c(39,5) / c(48,5).
Probability is without a doubt how probable something is to show up. whenever we are uncertain about the final results of an occasion, we can talk about the possibilities of sure outcomes and how probable they are. The analysis of events governed by opportunity is referred to as records.
A chain of moves in which the results are usually unsure. The tossing of a coin, selecting a card from a deck of playing cards, throwing a cube. occasion. it is a single final result of an experiment. Getting a Head whilst tossing a coin is an event.
Simple chance is the calculation of an outcome or the chance of an event ever taking place. Coverage companies use possibility statistics to determine the possibility of having to pay out a declaration. A simple chance is calculated by way of dividing a particular outcome by all of the feasible outcomes.
Learn more about Probability here https://brainly.com/question/24756209
#SPJ4
Riddle-if you solve it i will delete your answer and you have to post the riddle. Riddle-you enter a room. 2 dogs, 4 horses, 1 giraffe and a duck are lying on the bed. 3 chickens are flying over a chair. How many legs are on the ground? don’t play if you’re not to continue.
Answer:
28
Step-by-step explanation:
Mathew rolls a number cube labeled with the numbers 1−6. he then flips a fair coin. what is the probability that he rolls a 4 and flips a head? write your answer as a fraction.
The probability that he rolls a 4 and flips a head is 1/12
What is the probability?Probability determines odds that a random event would happen. The odds of the random event happening lie between 0 and 1.
The probability that he rolls a 4 and flips a head = (number of sides that is a 4 / total number of sides) x (number of sides that is a head / total number of sides)
(1/6) x (1/2) = 1/12
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
Answer: 1/12
Step-by-step explanation:
just say the answer
55. TECHNOLOGY
If f is a linear function, f(0.1) = 11.5, and f(0.4) = -5.9, find an equation for the function.
Considering the expression of a line, the equation for the function that is represented through the points f(0.1) = 11.5, and f(0.4) = -5.9 is y= -58x +17.3.
Linear equation o lineA linear equation o line can be expressed in the form y = mx + b.
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x1, y1) and (x2, y2) of a line, the slope m of said line can be calculated using the following expression:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.
Equation for the function in this caseIn this case, the function f(x) is represented through the points f(0.1) = 11.5, and f(0.4) = -5.9. This is:
(x1, y1)= (0.1, 11.5) (x2, y2)= (0.4, -5.9)So, the slope m can be calculated as:
[tex]m=\frac{-5.9-11.5}{0.4-0.1}[/tex]
Solving:
m= -58
Considering point 1 and the slope m, you obtain:
11.5= -58×0.1 +b
11.5= -5.8 + b
11.5 + 5.8= b
17.3= b
Finally, the equation for the function that is represented through the points f(0.1) = 11.5, and f(0.4) = -5.9 is y= -58x +17.3.
Learn more about the equation of a line having 2 points:
brainly.com/question/12851029
brainly.com/question/19496333
#SPJ1
how did the temperature change if it decreased by 60% and then increased by 80%
Answer:
The temperature decreased by 28%
Step-by-step explanation:
How did the temperature change if :
At first it decreased by 60%
Then increased by 80%
Assume that the temperature before decreasing is 100%
∵ The temperature before decreasing = 100%
∵ It decreased by 60%
→ Before decreasing : decreasing : after decreasing
→ 100% : 60% : 100% - 60% = 40%
∴ The temperature after decreasing = 40%
Assume that the temperature after decreasing is 100%
∵ The temperature after decreasing = 100%
∵ It increased by 80%
By using the ratio method
→ After decreasing : increasing : after increasing
→ 100% : 80% : 100% + 80% = 180%
→ 40% : : x%
By using cross multiplication
∴ 100% × x% = 40% × 180%
- Divide both sides by 100%
∴ x% =
∴ x% = 72%
∵ At first the temperature = 100%
∵ At last the temperature = 72%
∵ The first the temperature > the last the temperature
∴ The decreasing in temperature = 100% - 72% = 28%
Does this graph show a function? Explain how you know.
• A. Yes; the graph passes the vertical line test.
• B. No; there are y values that have more than one x-value.
• C. No; the graph fails the vertical line test.
• D. Yes; there are no y-values that have more than one x-value.
The graph doesn't show a function as C. No; the graph fails the vertical line test.
What is a graph?It should be noted that a graph is the diagrammatic representation of data.
In this case, the graph doesn't show a function as the graph fails the vertical line test.
The vertical line test is a visual way that's uses to determine if the curve is a graph of the function.
Learn more about graph on:
brainly.com/question/19040584
#SPJ1
If a and b are integers such that -6
a x b?
(A)-36
(B)-30
(C)-24
(D)-12
An exponential growth function represents a quantity that has a constant doubling time true or false
False, An exponential growth function represents a quantity that has a constant doubling time.
It might always be having time, Or 13 times, where I would not double but be unable to receive 2/3. Because the quantity is bigger than one, exponential growth would have a constant time between doublings. The halving time for any exponential decay function is A = Ao * kt1/2 x = x * kt1/2 = ktln(1/2) = t * ln kt = ln(1/2) / ln k.Because the quantity is bigger than one, exponential growth would have a constant time between doublings.What does an exponential growth function represent?
The base b is a constant when describing an exponential function. When the domain is the collection of real numbers, the exponent x is the independent variable. Exponential growth and decay are the two different kinds of exponential functions. When b > 1, the function f (x) = bx represents exponential development.Learn more about exponential growth function brainly.com/question/11811611
#SPJ4