a) Margine of error for the proportion of all U.S. adults who think things are on the wrong track for 95% confidence is 0.019.
b) Correct answer is B. One is 95% confident that the observed proportion of adults that responded "Wrong Track" is within ±0.019 of the population proportion.
How to calculate the margin of error and assess the correct option?a) To calculate the margin of error for the proportion of all U.S. adults who think things are on the wrong track for 95% confidence, we can use the following formula:
ME = z√((p(1-p))/n)
Where:
z = the z-score associated with the desired level of confidence (in this case, 1.96 for 95% confidence)
p = the proportion of adults in the sample who said things are on the wrong track
n = the sample size
Using the percentages provided in the question, we can calculate the sample proportion:
p = % of adults who said things are on the wrong track / 100
p = % / 100 = %
So, p =
We don't have the sample size, but we can assume it's large enough (at least 30) to use the normal distribution approximation. Therefore, we can use the percentages directly to calculate the margin of error:
ME = 1.96√((0.490.51)/n)
ME = 1.96√(0.2499/n)
ME = 1.96(0.499/n¹/²)
ME = 0.019
Hence the margine of error is 0.019.
b) The margin of error means that if we were to conduct the same survey many times and calculate a 95% confidence interval for the proportion of all U.S. adults who think things are on the wrong track using each sample, we would expect the true population proportion to be within ±0.019 of the sample proportion in 95% of the intervals.
Therefore, the correct answer is B. One is 95% confident that the observed proportion of adults that responded "Wrong Track" is within ±0.019 of the population proportion.
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Which ordered pair does NOT belong to any quadrant?
(1, 3)
(-1, -3)
(1, -3)
(0, 3)
The ordered pair (0, 3) does not lie onto any of the four quadrants.
What is the sign convention for quadrants?We know in the cartesian plane there are four quadrants.
In the first quadrant (x, y).
In the second quadrant (- x, y).
In the third quadrant (- x, - y).
In the fourth quadrant (x, - y).
Given are some ordered pairs. We know when x = 0 the point lies onto the x-axis and when y = 0 the point lies onto the x-axis.
Out of the given ordered pairs (0, 3) does not belong to any quadrant as it lies onto the y-axis only at 3.
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As a part of a lesson on earthquakes a science class is researching the movement if a nearby fault line. the line moved 3/5 of an inch during the past year and 7/8 of an inch the year before. how far did the fault line move in all?
-2x+6=-6 what is the answer to this promblem
Answer:
Step-by-step explanation:
-2x + 6 = -6
-2x = -12
x = 6
Answer:
x = 6
Step-by-step explanation:
⚡Hi⚡
-2x + 6 = -6
2x = 12
x = 6
Delete my account please.
Factor the common factor out of each expression.
8x-40
Answer:
The common factor of this equation is 8
Step-by-step explanation:
8/8 & 40/8
1 & 5
Answer:
Hi! The answer to your question is 8 (x-5)
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
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Abdul's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Abdul per pound, and type B coffee costs per pound. This month, Abdul made pounds of the blend, for a total cost of . How many pounds of type A coffee did he use
Complete question :
Abdul's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Abdul $4.25 per pound, and type B coffee costs $5.90 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $337.05 . How many pounds of type A coffee were used?
Answer:
21 pounds
Step-by-step explanation:
Pounds of coffee A used = x
Pounds of coffee B = 2x
Cost per pound of A = $4.25
Cost per pound of B = $5.90
Total cost of coffee = $337.05
4.25x + 2x(5.90) = 337.05
4.25x + 11.8x = 337.05
16.05x = 337.05
x = 337.05 / 16.05
x = 21
Hence, 21 pounds of coffee A was used
A woman old an article for 200cedi and made a profit of 25%. Find the cot price of the article
The cost price of the article is 160,000$
A woman old an article for 200,000.00$ and made a profit of 25%
The financial gain a business has when revenue exceeds costs and expenses is frequently referred to as profit.
The formula Profit = Selling Price - Cost Price can be used to determine the profit when the selling price and the cost price of a product are known. The formula for calculating profit percentage is then applied, which is profit percentage = (profit/cost price) x 100.
X x 25/100 + X = 200,000
25X/100 + X =200,000
X= 200,000-25X/100
X= (20,000,000-25X) / 100
100X = 20,000,000-25X
125X = 20,000,000
X = 160000
cost + 25% of cost = 200,000
cost (1+25/100)= 200,000
cost (1+1/4)=200,000
cost (5/4)=200,000
cost=200,000x(4/5)
=40000x4
= 160,000
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Find the slope given the graph below:
Answer:
5/3
Step-by-step explanation:
rise over run
(y2-y1)/(x2-x1)
(-2-3)=-5
(-2-1)=-3
A radioactive substance decays exponentially. A scientist begins with 130 milligrams of a radioactive substance. After 30 hours, 65 mg of the substance remains. How many milligrams will remain after 56 hours?
f(x) = abˣ
"A scientist begins with 130 milligrams", or we can word it differently.
when x = 0, f(x) = 130, which in short simply means a = 130.
"After 30 hours, 65 mg of the substance remains", worded differently.
when x = 30, f(x) = 65.
\(f(x)=ab^x~\hspace{10em}\underline{f(x)=130b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} ~\hfill x&=30\\ f(x)&=65 \end{cases}\qquad \implies 65=130b^{30}\implies \cfrac{65}{130}=b^{30}\implies \cfrac{1}{2}=b^{30}\)
\(\sqrt[30]{\cfrac{1}{2}}=b\implies \cfrac{\sqrt[30]{1}}{\sqrt[30]{2}}=b\implies \cfrac{1}{\sqrt[30]{2}}=b~\hfill \underline{f(x)=130\left( \cfrac{1}{\sqrt[30]{2}} \right)^x} \\\\[-0.35em] ~\dotfill\\\\ \textit{when x = 56, what is f(x)?}\qquad f(x)=130\left( \cfrac{1}{\sqrt[30]{2}} \right)^{56}\implies f(x)\approx 35.647\)
find the slope of the curve y=x2−4x−5 at the point p(3,−8) by finding the limit of the secant slopes through point p
To find the slope of the curve \(y=x^2-4x-5\) at the point P(3,-8) using the limit of the secant slopes, we need to calculate the slope between P and nearby point on curve as distance between points approaches zero.
The slope of a curve at a specific point can be approximated by calculating the slope of a secant line that passes through that point and a nearby point on the curve. In this case, we are interested in finding the slope at point P(3,-8). Let's choose another point on the curve, Q, with coordinates (x, y). The slope of the secant line passing through points P and Q is given by (y - (-8))/(x - 3). To find the slope of the curve at point P, we need to calculate the limit of this expression as the point Q approaches P.
To do this, we substitute the equation of the curve, \(y=x^2-4x-5\), into the expression for the slope of the secant line. We have (x^2-4x-5 - (-8))/(x - 3). Simplifying this expression gives \((x^2-4x+3)/(x-3)\). Taking the limit of this expression as x approaches 3, we get \((3^2-4(3)+3)/(3-3)\), which becomes (9-12+3)/0. Since we have a 0 in the denominator, we cannot directly evaluate the limit. However, this form suggests that we have a factor of (x-3) in both the numerator and denominator. Factoring the numerator further gives ((x-3)(x-1))/(x-3). Canceling out the common factor (x-3), we are left with (x-1). Substituting x=3 into this expression gives the slope of the curve at point P as (3-1), which is equal to 2.
Therefore, the slope of the curve \(y=x^2-4x-5\) at point P(3,-8) is 2.
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a pile of sand is cone-shaped. if the radius of the base is 5 feet and the altitude is 8 feet 10 inches, how many cubic feet of sand is in the pile?
The cone shaped pile can hold 235.5 feet sand.
What is volume of cone ?
One-third the sum of the area of the cone's circular base and its height is the formula for a cone's volume. Cones are described as pyramids with circular cross sections in terms of geometric and mathematical ideas. A cone's volume can be quickly determined by measuring the cone's height and radius.
Here radius of cone = 5 feet
Height of cone h = 8 feet 10 inches = 8+1 = 9 feet
Now volume of cone is
=> V = \(\pi r^2\frac{h}{3}\) cubic unit
=> V= 3.14* 25 * 3 = 235.5 cubic feet.
Hence the cone shaped pile can hold 235.5 feet sand.
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brian needs to bake 6 batches of cookies eatch batch calls for 3/4 teaspoons of vanilla how much vanilla will he need altogether
Answer:
4.5 teaspoons of vanilla
Step-by-step explanation:
We can do this by multiplying:
3/4*(6)
18/4
9/2
4.5 teaspoons of vanilla
-2 ⅝ * (4 ⅓)=
plzz help
Answer:
Step-by-step explanation:
Change into improper fraction
\(-2\frac{5}{8}*4\frac{1}{3}=\frac{-21}{8}*\frac{13}{3}\\\\ = \frac{-7}{8}*\frac{13}{1}\\\\=\frac{-91}{8}\\\\=-11\frac{3}{8}\)
What is the best approximation of the solution to the system to the nearest integer values?
A. (1, 3)
B. (3, 4)
C. (2, 3)
D. (3, 2)
The best estimate of the system solution to the nearest integer values is (2,3).
What is coordinate points?The coordinates represent the location of a point in the 2D coordinate plane with respect to the origin. A point's x-coordinate is its perpendicular distance from the y-axis as measured along the x-axis. A point's y-coordinate is the perpendicular distance from the x-axis measured along the y-axis. A point's Cartesian coordinates (also known as rectangular coordinates) are a pair of integers (in two dimensions) or a triplet of numbers (in three dimensions) indicating signed distances from the coordinate axis. A point's coordinates are a pair of integers that define its precise location on a two-dimensional plane. Remember that the coordinate plane contains two axes that are perpendicular to each other, known as the x and y axes.
Here,
This question is asking us what the coordinates are for the point of intersection. Since the point is not directly on the grid lines, we must approximate.
The point is closest to the value "2" on the x axis.
The point is closest to the value "3" on the y axis.
This means the correct point is (2,3).
The best approximation of the solution to the system to the nearest integer values is (2,3).
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the following shows the number of individuals in a random sample of 300 adults who indicated they support the new tax proposal. political party support democrats 100 republicans 120 independents 80 we are interested in determining whether the opinions of the individuals of the three groups are uniformly distributed. refer to exhibit 12-6. if the opinions of the individuals of the three groups are uniformly distributed, the expected frequency for each group is . a. .333 b. .50 c. 50 d. 100
The answer is (d) 100, which is the expected frequency for each group.
How to find the expected frequency?To determine the expected frequency for each group under the assumption of a uniform distribution of opinions, we can use the formula:
Expected frequency = (total sample size) x (proportion of group in population)
The total sample size is 300, and the proportions of Democrats, Republicans, and Independents in the population are not given, so we cannot use those directly. However, if we assume that the population proportions are roughly the same as the sample proportions, we can estimate the expected frequencies as follows:
Expected frequency for Democrats = 300 x (100/300) = 100
Expected frequency for Republicans = 300 x (120/300) = 120
Expected frequency for Independents = 300 x (80/300) = 80
Therefore, the answer is (d) 100, which is the expected frequency for each group if the opinions of the individuals of the three groups are uniformly distributed.
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Use completing the square to solve the quadraic equation. Show your work using completing the square. -4x² + 9x + 10 = 0
Answer:
\( x = \dfrac{9}{8} \pm \dfrac{\sqrt{241}}{8} \)
Step-by-step explanation:
\( x^2 + \dfrac{9}{-4}x + \dfrac{81}{64}= \dfrac{5}{2} + \dfrac{81}{64} \)
\( \dfrac{-4x^2}{-4} + \dfrac{9x}{-4} = \dfrac{-10}{-4} \)
\( x^2 + \dfrac{9}{-4}x + \dfrac{81}{64} = \dfrac{5}{2} + \dfrac{81}{64} \)
\( (x - \dfrac{9}{8})^2 = \dfrac{241}{64} \)
\( x - \dfrac{9}{8} = \pm\sqrt{\frac{241}{64}} \)
\( x = \dfrac{9}{8} \pm \dfrac{\sqrt{241}}{8} \)
if
f(x)=4x2−3x+7 , what is f(−2) ?
Answer:
D. 29 I just know the awnser sorry
To find the value of f(−2), we substitute −2 for x in the function f(x):
f(−2) = 4(-2)^2 − 3(-2) + 7
= 4(4) − 3(2) + 7
= 16 − 6 + 7
= 11
Therefore, f(−2) = 11.
Please hurry, I'll give brainly
Step-by-step explanation:
there should 90 value
the value of triangle is 90
Answer:
area = 8.03
Step-by-step explanation:
\(area= \frac{ab\sin\C}{2}\)
Evaluate the expression for n = 7
n^2+n+1
NO LINKS
Answer:
57
Step-by-step explanation:
7 times 7 or 7 to the power of 2 is 49 plus 7 is 56 and then plus 1 makes that 57
Answer:
57
Step-by-step explanation:
n^2+n+1 (n=7)
7^2+n+1
49+7+1
49+8
57
Aisha estimates the product of 12 and 2.4 by rounding 2.4 to the nearest whole.
What is Aisha's estimate?
Answer:
24
Step-by-step explanation:
12*2=2
2.4 rounds down
in theyx, y-plane above, the circle has center (h, k)left parenthesis, h, comma, k, right parenthesis and radius 10. what is the value of k ?
We can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center).
To answer this question, we need to use the equation of a circle:
(x - h)^2 + (y - k)^2 = r^2
Where h and k represent the coordinates of the center of the circle, and r represents the radius. In this case, we are given that the circle has center (h, k) and radius 10. So we can write:
(x - h)^2 + (y - k)^2 = 10^2
We are asked to find the value of k. To do this, we need to look at the equation of the circle and notice that the y-coordinate is paired with k. This means that we can isolate k by rearranging the equation as follows:
(y - k)^2 = 10^2 - (x - h)^2
y - k = ±√(10^2 - (x - h)^2)
k = y ±√(10^2 - (x - h)^2)
Since we don't have any information about the x-coordinate, we can't solve for a specific value of k. However, we can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center). Therefore, the answer is:
k = y
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a large school district claims that 80% of the children are from low-income families. 200 children from the district are chosen to participate in a community project. of the 200 only 74% are from low-income families. the children were supposed to be randomly selected. do you think they really were? a. the null hypothesis is that the children were randomly chosen. this translates into drawing
There may have been some bias or non-randomness in the selection process of the children for the community project.
To test whether the children were randomly selected, we can conduct a hypothesis test using the following steps:
Step 1: State the null and alternative hypotheses
Null hypothesis: The proportion of low-income children in the sample is equal to the proportion of low-income children in the population (i.e., p = 0.80).
Alternative hypothesis: The proportion of low-income children in the sample is not equal to the proportion of low-income children in the population (i.e., p ≠ 0.80).
Step 2: Determine the level of significance
Assuming a level of significance of 0.05, we want to find out whether the sample provides strong evidence to reject the null hypothesis in favor of the alternative hypothesis.
Step 3: Calculate the test statistic
We can use the z-test for proportions to calculate the test statistic, which measures the number of standard errors between the sample proportion and the population proportion under the null hypothesis.
z = (p - p) / √[p(1-p) / n]
where:
p = sample proportion
p = hypothesized population proportion
n = sample size
Using the given information, we have:
p = 0.74
p = 0.80
n = 200
Plugging in the values, we get:
z = (0.74 - 0.80) / √[(0.80)(1-0.80) / 200] = -2.33
Step 4: Determine the p-value
We need to find the probability of obtaining a z-score as extreme as -2.33 or more extreme (in either direction) if the null hypothesis is true. This is the p-value.
Using a standard normal distribution table or calculator, we find that the p-value is approximately 0.0202.
Step 5: Make a decision
Since the p-value (0.0202) is less than the level of significance (0.05), we reject the null hypothesis. This means that there is strong evidence to suggest that the sample proportion of low-income children is significantly different from the population proportion. In other words, it is unlikely that the sample was randomly selected from the population.
Therefore, further investigation may be needed to identify the potential sources of bias and take corrective actions.
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Using Suitable Identity ,Find the value of
(i) (729)2-(271)2 (ii)98x107
Answer:
(i) 458000 (ii) 10486
Step-by-step explanation:
(i) (729)²-(271)²
The identity is : \(a^2-b^2=(a-b)(a+b)\)
(729)²-(271)² = (729-271) × (729+271)
= 458 × 1000
= 458000
(ii) 98x107 = (100-2) (100+7)
Idenity : \((x-a)(x-b) = x^2+(a+b)x+ab\)
\((100-2) (100+7)=100^2+(-2+7)100+(-2)(7)\\\\=10000+500-14\\\\=10486\)
Hence, this is the required solution.
5. Find the Fourier coefficients of the periodic ( -5 to 5) function y(t) = -3 when -5
In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:
c₀ = -3 (DC component)
cₙ = 0 for n ≠ 0 (other coefficients)
To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:
cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt
where T is the period of the function and n is an integer.
In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).
To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:
c₀ = (1/T) ∫[-T/2, T/2] y(t) dt
Substituting the given values:
c₀ = (1/10) ∫[-5, 5] (-3) dt
= (-3/10) \([t]_{-5}^{5}\)
= (-3/10) [5 - (-5)]
= (-3/10) [10]
= -3
Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.
For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:
cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt
Since y(t) is constant, the integral becomes:
cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt
= (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt
The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.
all the coefficients cₙ for n ≠ 0 are zero.
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A line has a slope of 1/3 and passes through the point (–9, –3). What is its equation in slope-intercept form?
Answer:
y = \(\frac{1}{3}\) x
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 )
here slope m = \(\frac{1}{3}\) , then
y = \(\frac{1}{3}\) x + c ← is the partial equation
to find c substitute (- 9, - 3) , that is x = - 9, y = - 3 into the partial equation
- 3 = \(\frac{1}{3}\) (- 9) + c = - 3 + c ( add 3 to both sides )
0 = c
y = \(\frac{1}{3}\) x + 0 , that is
y = \(\frac{1}{3}\) x
How many times is it necessary to fold repeatedly in half one sheet of paper of thickness
0.1 mm to reach the thickness of the layer at least 1 m?
1) 60
2) 140
3) 16
(4) 14
5) 10000
A plane is flying at 25
The angle of depression the plane should descend is 1.43 degrees.
How to find the angle of depression?A plane is flying at an altitude of 25,000 ft when it start it descent to the airport. The plane is a horizontal distance of 1000,000 ft from the airport.
Therefore, let's find the angle of depression.
Hence, this situation forms a right angle triangle.
Therefore,
tan ∅ = opposite / adjacent
where
∅ = angle of depressionHence,
tan ∅ = 25000 / 1000000
∅ = tan⁻¹ 25 / 1000
∅ = tan⁻¹ 0.025
∅ = 1.43209618416
∅ = 1.43 degrees
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At 8:00, the temperature was 6°. Four hours later, the temperature was 23°.
What was the average temperature change per hour?
Answer:
Answer is 3.83
Step-by-step explanation:
Basically 23 divided by 6 is 3.83
find the common difference of the arithmetic sequence 15,22,29, …
Answer:
7
Step-by-step explanation:
You want the common difference of the arithmetic sequence that starts ...
15, 22, 29, ...
Difference
The common difference is the difference between a term and the one before. It is "common" because the difference is the same for all successive term pairs.
22 -15 = 7
29 -22 = 7
The common difference is 7.
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H(x)=3x^4+2x-5/x+9x^3-7 is it polynomial? If so write in standard form, degree, type, and leading coefficient. (20 points)
Answer:
yes its a polynomial espero te sirva
Figure WXYZ is transformed using the rule
. Point W of the pre-image is at (1, 6).
What are the coordinates of point W" on the final image?
(–5, 8)
(–3, –8)
(5, –8)
(3, 8)
Answer:
D
Step-by-step explanation:
on edu 2020
Answer:
D (3,8)
Step-by-step explanation:
On edge