the results of a phone survey indicate that between 47% and 53% of voters will choose candidate a over candidate b. what is the margin of error for this survey?
Based on the given information, we can assume that the survey has a 95% confidence level, which means that the margin of error can be calculated using the formula:
Margin of Error = (maximum difference in percentage points / 2)
The maximum difference in percentage points between the two candidates is 53% - 47% = 6%. Dividing this by 2 gives us a margin of error of 3%. Therefore, we can say that the results of the phone survey indicate that between 44% and 56% of voters may choose candidate a over candidate b (with a margin of error of +/- 3%).
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The name of the rule used in Normal Distribution Curves is called the
A) Kings Rule
B) Queens Rule
C) Students Rule
D) Empirical Rule
need help can’t figure it out!
Answer:
Step-by-step explanation:
This is a trick question, about the red marks again. those marks are important b/c they tell you that the lengths are the same, so that the angles MUST also be the same. That is , D and E are equal
so set up your equations with that info
180 = 84 +2p
now use your algebra skillz to solve
180-84 / 2 = p
96/2 = p
48 = p
see??
Question Decompose the function y = V2x4 + 1 in the form y = f(u) and u = g(x). (Use g(x) = 2x4 + 1) Provide your answer below: 1. y = 2. u=
When we decompose the given function y = V2x⁴+1 in the form y = f(u) and u = g(x), then y = V(u - 1) and u = 2x⁴ + 1
To decompose the given function y = V2x4 + 1 in the form y = f(u) and u = g(x), we can use the substitution method. We start by expressing u as a function of x, which is given as g(x) = 2x4 + 1. Then, we substitute this expression for u into the original function for y.
First, we can rearrange g(x) to obtain
u = 2x^4 + 1
Then, we can substitute this expression for u into the original function for y
y = V2x^4 + 1
y = V(u - 1)
Thus, we can express y as a function of u
f(u) = V(u - 1)
And we can express u as a function of x
g(x) = 2x^4 + 1
Therefore, the answer is
y = V(u - 1)
u = 2x^4 + 1
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6. For the following estimated simple linear regression equation of X and Y Y = 8 + 70X a. what is the interpretation of 70 b. ift test statistic for the estimated equation slope is 3.3, what does that mean? c. if p-value (sig) for the estimated equation slope is 0.008, what does that mean?
The number 70 represents the estimated slope coefficient. If the t-test statistic for the slope is 3.3, it means the slope coefficient is different from zero. A p-value of 0.008 for the slope indicates a low probability of observing a t-test statistic.
a. The interpretation of 70 in the estimated simple linear regression equation Y = 8 + 70X is that it represents the estimated slope coefficient. In this context, for every unit increase in X, we would expect Y to increase by 70 units. It indicates the rate of change in Y for a one-unit increase in X.
b. When the t-test statistic for the estimated equation slope is 3.3, it means that the estimated slope coefficient is significantly different from zero. The t-test statistic measures the ratio of the estimated slope coefficient to its standard error.
A t-test statistic of 3.3 suggests that the estimated slope coefficient is 3.3 standard errors away from zero. The larger the t-value, the more evidence we have against the null hypothesis that the slope coefficient is zero.
c. If the p-value (sig) for the estimated equation slope is 0.008, it means that the probability of observing a t-test statistic as extreme as 3.3 (or even more extreme) under the assumption that the true slope coefficient is zero is 0.008.
Generally, if the p-value is below a pre-defined significance level (e.g., 0.05), it provides evidence to reject the null hypothesis. In this case, since the p-value is 0.008, which is less than 0.05, we have sufficient evidence to reject the null hypothesis and conclude that the estimated slope coefficient is statistically significant.
In conclusion, the interpretation of 70 as the slope coefficient implies that for every one-unit increase in X, Y is expected to increase by 70 units. The t-test statistic of 3.3 indicates that the estimated slope coefficient is significantly different from zero.
The low p-value of 0.008 further supports the conclusion that the estimated slope coefficient is statistically significant, providing evidence against the null hypothesis.
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Lisa has $7.80 to spend on some tomatoes and a loaf of bread. Tomatoes
cost $1.20 per pound, and a loaf of bread costs $1.80.
The inequality 1.20x+1.80 ≤ 7.80 models this situation, where x is the
number of pounds of tomatoes.
Solve the inequality. How many pounds of tomatoes can Lisa buy?
A. x2 5; Lisa can buy 5 pounds or more of tomatoes.
B. x2 8; Lisa can buy 8 pounds or more of tomatoes.
OC. x≤ 5; Lisa can buy 5 pounds or less of tomatoes.
D. x≤ 8; Lisa can buy 8 pounds or less of tomatoes.
After sοlving the inequality, we came tο the cοnclusiοn as fοllοws:
x≤ 5; Lisa can buy 5 pοunds οr less οf tοmatοes.
What is inequality?In Algebra, an inequality is a mathematical statement that uses the inequality symbοl tο illustrate the relatiοnship between twο expressiοns. An inequality symbοl has nοn-equal expressiοns οn bοth sides. It indicates that the phrase οn the left shοuld be bigger οr smaller than the expressiοn οn the right, οr vice versa.
Literal inequalities are relatiοnships between twο algebraic expressiοns that are expressed using inequality symbοls. Less than (οr less than οr equal tο), greater than (οr greater than οr equal tο), οr nοt equal tο signs are used in place οf the equal sign.
Given,
The tοtal amοunt οf mοney present = $7.80
The cοst οf tοmatοes per pοund = $1.20
The cοst οf a lοaf οf bread = $1.80
Given the inequality in this situatiοn,
1.20x + 1.80 ≤ 7.80
where x = pοunds οf tοmatοes
Sοlving inequality,
1.20x + 1.80 ≤ 7.80
1.20x ≤ 7.80 - 1.80
1.20x ≤ 6
x ≤ 6/1.2
x ≤ 5
Therefοre after sοlving the inequality, we came tο the cοnclusiοn as fοllοws:
x≤ 5; Lisa can buy 5 pοunds οr less οf tοmatοes.
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below. a) Which of the boxes has the smaller range of masses? b) What is the value of this range? Give your answer in grams (g). Box A 97653 4 Box A Box B 15 1469 5 6 2 478 39 835 8762 7 Box B Key 35 represents a mass of 53 g 51 represents a mass of 51 g
Box B has the smaller range of masses, with a range of 49 grams, compared to Box A's range of 97,649 grams.
The question asks which of the boxes has the smaller range of masses and what is the value of this range in grams (g).
To find the range, we need to subtract the smallest value from the largest value in each box.
In Box A, the smallest value is 4 and the largest value is 97653. So, the range in Box A is 97653 - 4 = 97649 g.
In Box B, the smallest value is 2 and the largest value is 8762. However, we are given that key 35 represents a mass of 53 g and key 51 represents a mass of 51 g. So, the actual largest value in Box B is 51. Therefore, the range in Box B is 51 - 2 = 49 g.
Comparing the ranges, we can see that the range in Box B (49 g) is smaller than the range in Box A (97649 g).
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Determine whether triangles ACB and AEF are similar. Show your working and explain your reasoning.
(Hint: First draw them as separate triangles. Then decide whether the triangles are similar by showing Angle-Angle Similarity, Side-Angle-Side Similarity, or Side-Side-Side Similarity)
Step-by-step explanation:
It is assumed EF and CB are parallel.
The triangles ACB and AEF are similar by SAS as:
CAB is common angleAC and AE overlapAB and A F overlapConfirm if corresponding sides have same ratios:
AC / AE = AB / A F(8 + 4) / 8 = (10 + 5) / 1012/8 = 15/101.5 = 1.5Confirmed
2x - 3y --24
x + 6y = 18
Substitution
Answer:
y=12
x=30
Step-by-step explanation:
2x-3y=24 ... 1
x+6y=18 ... 2
2*2:
2x+12y=36...3
3-1:
y=12
x=30
When the following system of equations 2x - 3y = -24 and x + 6y = 18 are solved, the value of x and y is found to be -6 and -4 respectively.
Mathematically, an equation is a statement that asserts the equivalency of two expressions. It consists of two hands, the left-hand side( LHS) and the right-hand side( RHS), separated by an equal sign( =). The LHS and RHS can be numbers, variables, constants, or further complex fine expressions.
Given the system of equations:
2x - 3y = -24 (equation1)
x + 6y = 18 (equation2)
From equation 2,
x = 18 - 6y
Now, substitute this expression for x in equation (1):
2(18 - 6y) - 3y = -24
36 - 12y - 3y = -24
36 - 15y = -24
-15y = -60
y = \(\frac{(-60)}{(-15)}\)
y = 4.
Now substitute it back into equation (2) to solve for x:
x + 6(4) = 18
x + 24 = 18
x = 18 - 24
x = -6
Therefore, the solution to the system of equations is x = -6 and y = 4.
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Hello I need help with a problem ,8x^2-9x-3It says factor completely
Not factorable
Explanationgiven
\(8x^2-9x-3\)Step 1
given
\(8x^2-9x-3\)use the quadratic formuña
it says
\(\begin{gathered} for \\ ax^2+bx+c=0 \\ the\text{ solution for x is} \\ x=\frac{-b\pm\sqrt{b^2-ac}}{2a} \end{gathered}\)so
If Δ=0 then ax2+bx+c is a perfect square trinomial, expressible as
(√ax+√c)2 or as (√ax−√c)2 .
If Δ<0 then ax2+bx+c has two distinct Complex zeros and is not factorable over the reals. It is factorable if you allow Complex coefficients
\(\begin{gathered} \Delta=b^2-4ac \\ \Delta=(-9)^2-4(8)(-3) \\ \Delta=81+96 \\ \Delta=177 \end{gathered}\)then, as
\(\Delta>0\)the expression has two distinct Real zeros and is factorable over the Reals
so,
the expression has real solution ,so
Not factorable
I hope this helps you
how do i find upper and lower quartile
please help will give brainliest
Answer:
Step-by-step explanation:
Arrange the data set in ascending order. then find the median.
Data in ascending order:
2, 5 , 6 , 7 , 8 , 11 , 15
Median = 7
Lower quartile:
Then again find the median of the numbers from the first to the number before the median. This is the lower quartile.
2 , 5, 6
Median = 5 ----> this is the lower quartile.
Upper quartile:
Then again find the median of the numbers that comes after the median to the end of the data set. This is the upper quartile.
8 , 11 , 15
Median = 11 ------> is the upper quatile
Is it necessary to
ename 4 to subtract ? Explain.
Yes, It is necessary to rename 4(1/4) to 3(2/4) when 3/4 is subtracted with 4(1/4).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4(1/4) - 3/4
= 17/4 - 3/4
= (17 - 3) / 4
= 14 / 4
= 3(2/4) or 3(1/2)
Thus,
We can rename 4(1/4) to 3(2/4).
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The complete question:
Explain Why It Is Necessary To Rename 4 1/4 If You Subtract 3/4 From It?
Question 6
Find the Perimeter of the figure shown to the right as a simplified expression.
Answer:
option 3rd is the correct one
Write parametric equations for each of the following curves.
(a) The straight line segment traced from (3,2) to (5,8) as t goes from 0 to 1.
(b) A circle centered at (3,2), of radius 4, traced out two times, counterclockwise, as t goes from 0 to 2pi.
The equations for the circle traced out counterclockwise as t goes from 0 to 2π are:
x = 3 + 4 * cos(t)
y = 2 + 4 * sin(t)
Find the straight line traced from the given values?(a) To find the straight line segment traced from (3,2) to (5,8) as t goes from 0 to 1, we can use the parameterization formula for a line segment:
x = x₀ + (x₁ - x₀) * t
y = y₀ + (y₁ - y₀) * t
where (x₀, y₀) and (x₁, y₁) are the coordinates of the starting and ending points, respectively.
For the given points (3,2) and (5,8), we have:
x₀ = 3, y₀ = 2
x₁ = 5, y₁ = 8
Plugging these values into the parameterization formula, we get:
x = 3 + (5 - 3) * t = 3 + 2t
y = 2 + (8 - 2) * t = 2 + 6t
So, the equations for the straight line segment traced as t goes from 0 to 1 are:
x = 3 + 2t
y = 2 + 6t
(b) To find the circle centered at (3,2) with a radius of 4, traced out counterclockwise as t goes from 0 to 2π (a full revolution), we can use the parameterization formula for a circle:
x = cx + r * cos(t)
y = cy + r * sin(t)
where (cx, cy) are the coordinates of the center and r is the radius.
For the given center (3,2) and radius 4, we have:
cx = 3, cy = 2
r = 4
Plugging these values into the parameterization formula, we get:
x = 3 + 4 * cos(t)
y = 2 + 4 * sin(t)
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helppp asap Given:
Prove: ΔKVM ~ ΔBVG
Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.
For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.
angle M and G are both 90° , this means they are equal.
angle KVM = BVG
therefore angle K = angle B
Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG
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in 6×(2+3)^3, the correct order of operation is
Answer:
the actual answer is 750
Step-by-step explanation:
but the correct order in this scenario is doing
parenthesis (2+3)
exponents 5³
multiplication 6×5³
Kayden is a teacher and takes home 100 papers to grade over the weekend. He can grade at a rate of 6 papers per hour. How many papers would Kayden have remaining to grade after working for 10 hours?
Answer:
40 papers
Step-by-step explanation:
6 x 10 = 60
100- 60 = 40
Need an answer in less than 5 minutes pls!
Find the length of the hypotenuse. Round your answer to the nearest tenth.
A.) 89 units
B.) 13 units
C.) 3.6 units
D.) 9.4 units
Answer:
9.4
Step-by-step explanation:
a2+b2=c2
8^2 + 5^2 = c2
64 + 25 = 89
square root of 89 = 9.4
suppose someone offers max the following gamble: with probability 0.50 he will win $10 and with probability 0.50 he will lose $8. the expected value of this gamble is
The expected value of this gamble is $1.
The expected value of this gamble is the weighted average of all possible outcomes where the weights are the probabilities of each outcome happening.
The formula for expected value (EV) is as follows:
Expected Value = (Probability of Winning × Amount Won) − (Probability of Losing × Amount Lost)
Hence, substituting the values:
Expected Value = (0.5 × $10) − (0.5 × $8)
Expected Value = $5 - $4
Expected Value = $1
Therefore, the expected value of this gamble is $1.
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Function f is graphed. According to the graph, is f even, odd, or neither?
Answer:
C
Step-by-step explanation:
f is neither even nor odd
what is a complex series notation that equals one
(Will give brainliest if you can figure out the same for 2 and 3)
we know the complex number has standard form a+ib
Inorder to find our answer ib^2 should.be 1
Ex:-
2-i
2:-
\(\\ \sf\longmapsto 2+2i^2\)
i^4=12 + i^2 = 1. also i^4 = 1
3 + i^2 = 2 also 2i^4 = 2
4 + i^2 = 3 also 3i^4 = 3
the complex series has a form Z = a + ib, where a is the real number and ib is the imaginary part.
we know i = √-1 so i^2 = -1 and (i^2)^2 = (-1)^2 = 1. or i^4 = 1.
also,
2 + i^2 = 1. since i^2 = -1, 2 + -1 = 2-1 = 1.
if we want to find 2,
3 + i^2 = 2. since we know i^2 will be -1, set the a value to be 1 more the value you need. for example if you want 3, set a to be 4.
for 3.
first make a to be 1 more than 3 which is 4.
3 = 4 + i^2.
Expand and Simplify 2(3x - 1) - 4(2x +3) please
Answer:
-2x-14
Step-by-step explanation:
Answer:
-2x - 14
Step-by-step explanation:
2(3x - 1) - 4(2x + 3) =
6x - 2 - 8x - 12 =
-2x - 14
Let x and y be real numbers such that x < 2y. Prove that if
7xy ⤠3x2 + 2y2, then 3x ⤠y.
To prove that 3x ≤ y, assume the opposite, that is, 3x > y, rearrange the inequality substitute x < 2y and simplify, contradict the given condition that x < 2y, therefore, concluding that 3x ≤ y.
Start by assuming the opposite, that is, 3x > y.
From the given inequality,\(7xy \leq 3x^2 + 2y^2,\), we can rearrange to get:
\(7xy - 3x^2 \leq 2y^2\)
We can substitute \(x < 2y\) into this inequality:
\(7(2y)x - 3(2y)^2 \leq 2y^2\)
Simplifying, we get:
\(y(14x - 12y) \leq 0\)
Since y is a real number, this means that either y ≤ 0 or 14x - 12y ≤ 0.
If y ≤ 0, then 3x ≤ y is trivially true.
If 14x - 12y ≤ 0, then we can rearrange to get:
3x ≤ (12/14)y
3x ≤ (6/7)y
3x < y (since we assumed 3x > y)
But this contradicts the given condition that x < 2y, so our assumption that 3x > y must be false.
Therefore, we can conclude that 3x ≤ y.
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The shape shown is made from a triangle and a rectangle.
a) Work out the area of the rectangle
B) Work out the area of the triangle
c) Work out the area of the whole shape
Hey !
a) Work out the area of the rectangle
Area of the rectangle is calculated by Length × width
According to the given diagram
Length of the rectangle = 10 cm
width of the rectangle = 5 cm.
Substituting the values of length and width in above formula.
Area = 10 × 5
Area = 50 cm².
B) Work out the area of the triangle.
Area of triangle is calculated by:
Area of triangle = ½ × Base × Height
According to the given figure,
Base of triangle = 4 cm
Height of triangle= 5 cm
Substituting the values we base and Height in the above formula we get
Area of triangle = ½ × 4 × 5
Area of triangle = 2 × 5
Area of triangle = 10 cm²
c) Work out the area of the whole shape
Area of whole shape = Area of rectangle+ Area of triangle
= 50 cm² + 10 cm²
= 60 cm²
Answer:
a) 70 cm²
b) 10 cm²
c) 80 cm²
Step-by-step explanation:
The shape which is made from a triangle and a rectangle.
a) The area of the rectangle.
Formula :
Area of rectangle = Length × Breadth
Here,
From the given figure we can see that Length of rectangle is 10 cm and breadth of the rectangle is 7 cm
Plugging the values in formula ,
Area = 10 × 7
Area = 70 cm²
\(\therefore \underline{\red{ \sf The \: area \: of \: rectangle \: is \: 70 \: {cm}^{2}}} \)
b) The area of triangle
Formula :
Area of triangle = 1/2bh
Here,
Form the given figure we can see that base of 4 cm and height is 5 cm
Plugging the values in formula ,
Area = 1/2 × 4 × 5
Area = 10 cm².
\( \therefore \underline{\red {\sf The \: area \: of \: triangle \: is \: 10 \: {cm}^{2}}}.\)
c) the area of the whole shape
Since The shape is made from a triangle and a rectangle so the area of whole shape will be the sum of both the areas of rectangle and triangle.
Area of the whole shape = Area of rectangle + area of triangle
Area of whole shape = 70 + 10
Area of whole shape = 80 cm²
\(\therefore \underline{\red { \sf The \: area \: of \: whole \: shape \: is \: 80 \: {cm}^{2}}}\)
What is the solution to n/4 = -12.4?
n = 3.1
n = -3.1
n = 49.6
n = -49.6
Answer:
n= -49.6
Step-by-step explanation:
49.6 i did this test and got it right
Uhm can you answer it and tell me how you did it? I'm like dead confused
Answer:
Hello! answer:
rectangle a: 8
rectangle b: 24
figure: 32
Step-by-step explanation:
Hello I'll show a demonstration, with a picture and explanation. Ok so as shown in the picture i circled the base and height those are basically what you have to multiply to find the area.
we are given the height for rectangle a but not the base so we have to find it we know the base at the bottom for the whole thing is 5 and the base for B is. 3 so we can just subtract 3 from 5 to find A's base so... 5 - 3 = 2
now we have everything we need to find the area so....
4 × 2 = 8 so rectangle a is 8
3 × 8 = 24 so rectangle b is 24
then for the whole figure we can just add those two up for the entire area so...
24 + 8 = 32 therefore the figures area is 32 Hope that helps!
if lisa's score was 86 and that score was the 23rd score from the top in a class of 280 scores, what is lisa's percentile rank?
Lisa's percentile rank is approximately 7.857%.
To calculate Lisa's percentile rank, you can use the formula:
Percentile Rank = (Number of scores less than Lisa's score / Total number of scores) * 100
In this case, Lisa's score is 86, and it is the 23rd score from the top in a class of 280 scores. Therefore, the number of scores less than Lisa's score is 23 - 1 = 22 (excluding Lisa's score itself).
Substituting the values into the formula:
Percentile Rank = (22 / 280) * 100 ≈ 7.857%
Lisa's percentile rank is approximately 7.857%.
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Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
Someone please help! What is the solution to w - 9 = 15? 5 1/2 6 1/2 24 1/2 23 1/2
Answer:
w=24
Step-by-step explanation:
w-9=15
w=15+9
w=24
Answer:
24 1/2
Step-by-step explanation:
just did
You are making a picture frame in shop class. Two pieces of wood are cut to form complementary angles so they fit together properly . One angle needs to be (2x +23) and the other angle needs to be (3x +27). What is the measure of the larger angle?
Answer:
Step-by-step explanation:
The measure of the angles are 51° and 39°.
What is a complementary angle?When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.
Given:
Two pieces of wood are cut to form complementary angles.
One angle needs to be (2x +23) and the other angle needs to be (3x +27).
We have to find the measure of the larger angle?.
According to given question we have
Two angles are complementary when their sum is equal to 90°.
So, ( 2x + 23 ) + ( 3x + 27 ) = 90°
5x + 50° = 90°
5x=40°
x = 8°
Putting value of x in the angles given :
( 2x + 23 )° = 2(8°) + 23° = 39°.
( 3x +27 )° = 3(8°) +27° = 51°.
Therefore, the measure of the angles are 51° and 39°.
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