You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 90% confident that you esimate is within 2.5% of the true population proportion. How large of a sample size is required
Answers
Answer:
\(n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.64})^2}=1075.84\)
And rounded up we have that n=1076
Step-by-step explanation:
Information given
\(ME= 0.025\) represent the desired margin of error
Solution
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by and . And the critical value would be given by:
\(t_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64\)
The margin of error for the proportion interval is given by this formula:
\( ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}\) (a)
We can assume that the best estimate for the true proportion is \(\hat p=0.5\). And on this case we have that \(ME =\pm 0.025\) and we are interested in order to find the value of n, if we solve n from equation (a) we got:
\(n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}\) (b)
And replacing into equation (b) the values from part a we got:
\(n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.64})^2}=1075.84\)
And rounded up we have that n=1076
Related Questions
A school newspaper reporter decides to randomly survey 13 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 23% of students attend Tet festivities. We are interested in the number of students who will attend the festivities. Part (a) Part (b) List the values that X may take on. O X =0, 1, 2..... 23 x = 1, 2, 3....23 x = 1, 2, 3....13 OX0.1.2..... 13 OO Part (c) Give the distribution of X. X-OX (0:0) Part (d) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.) student(s) O Part (e) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.) Part (0) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
Answers
The probability that more than 2 students will attend is 0.9179.
Part (a) List the values that X may take on.
X may take on the values 0, 1, 2, 3, ..., 13.
Part (b) Give the distribution of X.
The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23
Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)
We can expect 3 students to attend the festivities.
Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)
The probability that at most 3 students will attend is 0.6923.
Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
The probability that more than 2 students will attend is 0.9179.
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Plz help I will mark barinlest
Answers
Answer: try -2
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
If we use PEMDAS, we know that we need to do the multiplication and division first. (1/2)^4 is equal to 1^4/2^4, which is 1/16. Next, 1/16 * 32 is equal to 2. Finally, we do 6 divided by 3, which is 2. 2 - 2 is equal to 0, so the answer is 0.
You find yourself in a strange undulating landscape given by the function z = f (x, y) = cos y − cos x, where z is the elevation.
1. Find all maxima, minima, and saddle points. What are the level curves for z = 0?
Graph this function.
You are now at the origin and wish to hike to the point (4π, 0, 0). You contemplate two rather different routes.
2. Your first route always keeps you at the same elevation. Determine such a route of minimal length. What is the length?
3. Your second route always moves along the gradient. Determine such a route of minimal length, assuming you start hiking in the positive x-direction. What is its length? If you cannot find an exact answer, determine an upper bound and a lower bound between which the actual length must lie.
4. Which route is the shorter—that of part (b), or (c)?
Appropriate pictures should be supplied throughout. Justify your answers.
Answers
Answer:
24-3-32233'2]/2
Step-by-step explanation:
5h-6-8+7h what’s the answer ?
Answers
The domain is ? (image attached)
Answers
Hope this helps!
What is the value of x?
Answers
Answer:
5.6
Step-by-step explanation:
We assume that 7 is the measure of the portion of the secant that is inside the circle between the circle and the intersection with the other chord.
The product of segment lengths on the same chord is a constant for chords that intersect at the same point. That is, ...
10x = 8·7
x = 56/10
x = 5.6
_____
Comment on the geometry
If you draw the figure to scale, you find the geometry shown is impossible. The arc measures and chord lengths are incompatible.
You see a news headline which claims that tuition at CSU San Jose is going to increase by 7% next year. If tuition for in-state students is currently $5,742, how much will it be next year?
Answers
The tuition would be $6143.94 next year
How to detemrine the tuition amount?The given parameters are:
Current amount = $5,742Rate of increment, r = 7%The tuition next year is then calculated as:
Tuition = Current * (1 + Rate)
This gives
Tuition = $5,742 * (1 + 7%)
Evaluate
Tuition = $6143.94
Hence, the tuition would be $6143.94 next year
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find the median of the pulse rates of 65, 74, 88, 77, and 92
Answers
Answer:
??
Step-by-step explanation:
Answer:
77
Step-by-step explanation:
median is the middle value.
1. arrange in numerical order
65, 74, 77, 88, 92
2. cross out all outside numbers untill you find the middle value
65, 74, 77, 88, 92
3. it's 77
Use the model below to calculate 9÷1/3.
A green rectangle is divided into 9 equal parts arranged into 3 rows of 3 cells each.
A.
9/3
B.
3/9
C.
13 1/2
D.
27
Answers
Using thie model ,The answer is D. 27.
To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.
Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.
We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:
9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27
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The histogram shows the number of minutes that users waited to register for classes on a university's online system. According to the histogram, how many users waited more than a hour but not more than 2 hours?
A) 2
B) 8
C) 9
D) 11
Answers
Answer: the answer is 4
Step-by-step explanation:
11 users waited more than a hour but not more than 2 hours.
What is Histogram?A histogram is a graphical depiction of continuous or discrete data. In a histogram, the frequency is represented by the area of a bar. Frequency density, which is proportional to frequency, is plotted on the y-axis, and intervals representing the range of values are plotted on the x-axis.
From the Histogram we have
For 0 -30 minutes - 5 users wait
31- 60 minutes- 4 users wait
61- 90 minutes- 9 users wait
91- 120 minutes- 2 users wait
120- 150 - 4 users wait
So, the number of users waited more than a hour but not more than 2 hours
= 9 + 2
= 11 users
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Deb is a software engineer. Every day she spends 1 hour in meetings and the rest of her time coding. Let w represent the number of hours Deb works in a day and c represent the number of hours Deb spends writing code that day.
Answers
Answer:
Step-by-step explanation:
Let's use the given information to set up equations using the variables w and c.
Deb spends 1 hour in meetings every day, so the total number of hours she works in a day is:
w = c + 1
This equation tells us that the total number of hours Deb works in a day (w) is equal to the number of hours she spends writing code (c) plus the 1 hour she spends in meetings.
We can also use the same equation to solve for c:
c = w - 1
This equation tells us that the number of hours Deb spends writing code (c) is equal to the total number of hours she works in a day (w) minus the 1 hour she spends in meetings.
Both of these equations can be useful for solving problems involving Deb's work schedule.
Find the area of a rectangle whose length (L) = 15 in. and width (W) = 2 in.
(a) 17 in ²
(c) 13 in. ²
(b) 30 in.²
(d) 68 in.²
Answers
Cuz area is LxW
Christina is buying candy for her and her friends at the deli. She buys 6 bags of sour patch kids for $1.19each. How much does Christina spend on candy?
Answers
$7.14 I hope this helps.
Answer:
She spends $7.14
Step-by-step explanation:
You would multiply in this question and you would multiply $1.19*6 and that will give you your product of $7.14.
A rectangular park is 130 meters long and 100 meters wide. Give the length and width of another rectangular park that has the same perimeter but a smaller area.
Answers
The length and width of another rectangular park that has the same perimeter but a smaller perimeter is 50 meters and 130 meters
What are the dimensions of the rectangular park?The perimeter of an object is the sum of the distance round the object.
Perimeter of a rectangle = 2(length + width)
2(130 + 100)
2 x 230 = 460 meters
Area of the rectangular park = 130 x 100 = 13,000 meters²
The sum of the dimensions of the new rectangular park would be 230 meters
If the dimensions are 50 meters and 180 meters
The area = 50 x 180 = 9,000
Perimeter = 2(50 + 130) = 460 meters
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What is the slope of the line represented by the equation y = -1/2 X + 1/4
Answers
Step-by-step explanation:
y = -1/2 X + 1/4
comparing with y = mx+c
m = -1/2 and m is slop
henve slope = -1/2
Solve the system of linear equations by elimination. x+6y=28 2x−3y=−19
Answers
Interior and exterior triangle angles
Answers
we know that sum of all angles in a triangle is 180°
6x+10+2x+5+3x-11 = 180
11x + 4 = 180
11x = 176
x= 16
angle R = 6×16+10 = 96+10 = 106°
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.6 years with a standard deviation of 0.9 years. If a sampling distribution is created using samples of the ages at which 49 children begin reading. What would be the mean of the sampling distribution?
Answers
Answer:
The value is \(\mu_{x} = 5.6 \ years\)
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 5.6 \ years\)
The standard deviation is \(\sigma = 0.9 \ years\)
The sample size is n = 49
Generally given that the sample size is large enough, the sampling distribution created using the samples of the ages at which 49 children begin reading is equal to the population mean
i.e
\(\mu_{x} = \mu\)
=> \(\mu_{x} = 5.6 \ years\)
Go step by step to reduce the radical.
Square Root 200
Answers
Answer:
10 root 2
Step-by-step explanation:
root 200 = root 2 × root 100 = 10 root 2
Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler terms to differentiate.
y=(3-x^2)(x^3-5x+5)
a. Apply the Product Rule. Let u=(3-x^2) and v=(x^3-5x+5).
b. Multiply the factors of the original expression, u and v to produce a sum of simpler terms.
Find y'.
Answers
The factors of the original expression, u and v to produce a sum of simpler terms, the derivative of y with respect to x is: y' = -2x⁴ - x² - 10x + 15
Given the expression y = (3 - x²) (x³ - 5x + 5),
We need to find the derivative of y with respect to x.
We can find y' using two methods:
Method 1: Applying the Product RuleIf y = uv, then we know that y' = u'v + uv'Applying this formula to the given expression, We get:
y = (3 - x²) (x³ - 5x + 5)u = (3 - x²) and v = (x³ - 5x + 5)
Differentiating u and v, we get:u' = -2x and v' = 3x² - 5
Substituting these values into the formula for y', we get:
y' = u'v + uv' = (-2x) (x³ - 5x + 5) + (3 - x²) (3x² - 5)
Simplifying this expression, we get:
y' = -2x⁴ + 10x² - 10x - 3x² + 15 = -2x⁴ - x² - 10x + 15
Method 2: Multiplying the Factors to Produce a Sum of Simpler Terms to Differentiate
Expanding the given expression, we get:
y = 3x³ - 15x + 15 - x⁵ + 5x³ - 5x - 3x² + 15x² - 15x
Differentiating this expression, we get: y' = 9x² - 15 + 0 - 5x⁴ + 15x² - 5 - 6x + 30x - 15
Simplifying this expression, we get:
y' = -2x⁴ - x² - 10x + 15
Therefore, the derivative of y with respect to x is:y' = -2x⁴ - x² - 10x + 15
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Select the three equations that are correct.
6 × 9 = 54
8 × 4 = 34
42 ÷ 7 = 6
64 ÷ 9 = 7
56 ÷ 7 = 8
Answers
Answer:
6 × 9 = 54
42 ÷ 7 = 6
56 ÷ 7 = 8
Step-by-step explanation:
Given:
6 × 9 = 54
8 × 4 = 34
42 ÷ 7 = 6
64 ÷ 9 = 7
56 ÷ 7 = 8
Now it need to verify,
6 × 9 = 54 this is correct
42 ÷ 7 = 6 This is also correct
56 ÷ 7 = 8 This is correct
angle 1 and angle 3 are ??? angles will mark brainiest
Answers
Answer:
supplementaryStep-by-step explanation:
angles 1 and 3 = supplementary angles and equal to 180
Random samples of size 100 are taken from an infinite population whose population proportion is 0.2. The mean and standard deviation of the sample proportion are:__________
a) 0.2 and .04
b) 0.2 and 0.2
c) 20 and .04
d) 20 and 0.2
Answers
Answer:
c I think
Step-by-step explanation:
just cuz I did the math but I don't wanna type rn
find the surface area
Answers
The Surface area of Triangular Prism is 132 cm².
We have have the dimension of prism as
Sides = 3 cm, 4 cm, 5 cm
and, l = 10 cm
and, b= 4 cm
Now, Surface area of Triangular Prism as
= (sum of sides) l + bh
= (3 + 4 + 5)10 + 4 x 3
= 12 x 10 + 12
= 120 + 12
= 132 cm²
Thus, the Surface area of Triangular Prism is 132 cm².
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The figure below is a net for a cube.
Answers
The surface area of the cube given in the above diagram would be = 1922.46 in².
How to calculate the surface area of the diagram?To calculate the surface area of the cube, the formula that should be used would be given below as follows:
Surface area of cube = 6(a)²
a = side length= 17.9
SA=6(17.9)²
= 6×320.41
= 1,922.46 in²
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Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Answers
Answer:
D. 96
F. 32
Step-by-step explanation:
The inequality 3x ≥ 96, means that x and 3 must be multiplied to get a product that is greater than 96. So to figure this out, you must plug in the numbers given for x, like so:
3x ≥ 96
A. 3(31) ≥ 96
93 ≥ 96 This is incorrect since 93 is not greater than 96
A tip that makes this easier is that, you can see that 31 multiplied by 3 is 93, which is only a couple numbers off 96, so all numbers after 31 will result in a product greater than 96. For example:
D. 3(96) ≥ 96
288 ≥ 96 This inequality is correct
F. 3(32) ≥ 96
96 ≥ 96
The inequality sign states that the number must be either greater or equal to 96, which it is.
100 points and I will give brainlist but before I get released, I have to verify answers
Answers
A simplification of the fractions (-5/8) ÷ (-3/4) is equal to: B. -20/24.
The step in which Johnetta made her error include the following: A. step 1.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
Based on the information provided above, the division can be calculated as follows;
Fraction = (-5/8) ÷ (-3/4)
Fraction = -5/8 × (-4/3)
Fraction = -20/24
For Johnetta, we have:
Fraction = 7/9 ÷ 3/8
Fraction = 7/9 × 8/3
Fraction = 56/27
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find the value of 11 (a + b) when a = 7 and b = 3. (a) 110
(b)77
(c) 11,000
(d) 44
Answers
Answer:
(a) 110
Step-by-step explanation:
We can plug in 7 for a and 3 for b. Then we can simplify
11(a + b)
11(3 + 7)
11(10)
110
Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a
Pre-calc/Trig
Suppose that θ=arcsin(4/6). What is cos(2θ)? (round to 4 decimals)
Answers
Answer:
0.7453
Step-by-step explanation:
\(arcsin( \frac{4}{6} ) = 0.7297 \\ cos(0.7297) = 0.7453\)
Points B, D, and F are midpoints of the sides of triangle ACE. EC = 39 and DF = 23. Find AC. The diagram is not to scale.
Answers
Answer:
46
Step-by-step explanation:
The midsegment DF has half the length of the side AC it is parallel to.
__
AC = 2×DF = 2×23
AC = 46
