To estimate the population proportion of adults with 95% confidence and an accuracy of within 5%, the minimum sample size needed can be determined using the formula for sample size calculation.
To calculate the minimum sample size, we can use the formula: n = (Z² * p * (1 - p)) / E², where n represents the sample size, Z is the z-value corresponding to the desired confidence level (95% confidence corresponds to a z-value of approximately 1.96), p is the estimated population proportion, and E is the desired margin of error (5% in this case, which can be expressed as 0.05).
Since the estimated population proportion is unknown, we can use the worst-case scenario assumption, which is 0.5. Plugging these values into the formula, we get:
n = (1.96² * 0.5 * (1 - 0.5)) / (0.05²) = 384.16
Since the sample size must be a whole number, we round up to the nearest whole number. Therefore, the minimum sample size needed to estimate the population proportion with 95% confidence and within 5% accuracy is 385.
By collecting a sample of at least 385 adults and conducting a survey or study, we can estimate the population proportion of adults who think they should be saving more with a 95% confidence level and a margin of error of within 5%.
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11x-y=21
9x+2y=-11
solving by subtitution plss help
On the weather map, what does the symbol shown below represent?
A curved line with half circles is shown
Flurries
Showers
T-Storms
Warm Front
Answer: Warm font or showers
Step-by-step explanation: Hope it helped! If you can, Can I please have brainliest? I need a few more
Find slope of line (I need to see if you get the same answer as me to know if it’s right)
Answer: -5
Step-by-step explanation:
Point #1: (-4, 2)
Point #2: (-3, -3)
Slope: -5
Answer:
Slope=M=-5Full equation y=5/7x-18Step-by-step explanation:
(-3,-3),(4,2) y=mx+b
input variables for the full equation for slope, rise/run
it rise's up 5 and runs back -1 so slope is -5
What is the greatest possible error for a measurement of 0.05 metric tons?
Answer:The greatest possible error of a measurement is considered to be one-half of the measuring unit. If you measure a length to be 4.3 cm. (measuring to the nearest tenth), the greatest possible error is one-half of one tenth, or 0.05. This means that any measurements in the range from 4.25 cm. to 4.35 cm. are perceived as correct.
Step-by-step explanation:
Answer:
The greatest possible error for a measurement of 0.05 metric tons would depend on the accuracy of the measurement device or technique being used. Without more information about the specific measurement method, it is impossible to determine the greatest possible error.
Step-by-step explanation:
If a number is an integer, then it is either positive or negative.
Which is the hypothesis of the conditional?
O A. A number is an integer.
B. A number is either positive or negative.
о O
C. A number is both positive and negative.
OD. A number is not an integer.
Answer: A. A number is an integer
Step-by-step explanation:
When we write a statement such as “If P then Q” we should note that the statement means that anytime P is true, it also means that Q must also be true.
The statement P is what we refer to as a hypothesis of the conditional statement, while we refer to the statement Q as conclusion of a conditional statement.
In the above example, the hypothesis if the conditional will be "a number is an integer" while the conclusion will be "it is either positive or negative".
core of 2 Question 11 of 11 at is propeled sraight upward from ground level with an initial velocity of 64 feet mat, is heiget hin feet t seconds later is given by the equation h=-16t^(2)+64t. wany secinds is the height 48 feet?
By applying velocity concept, it can be concluded that the height of the object is 48 feet at 1 second and 3 seconds.
Velocity is the distance traveled, and the direction in which the distance is changing. It can also be described as the instantaneous rate of change of a moving object.
velocity = Δs / Δt , where:
Δs = distance change
Δt = time change
The height of the object is given by the equation h = -16t² + 64t.
We need to find the time t when the height is 48 feet.
To do this, we can plug in the value of h and solve for t:
h = -16t² + 64t
48 = -16t² + 64t
0 = -16t² + 64t - 48
Dividing by -16 gives us:
0 = t² - 4t + 3
= (t - 3)(t - 1)
Therefore, the possible values of t are 1 and 3 seconds.
So, the height of the object is 48 feet at 1 second and 3 seconds.
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It will take 5.00 seconds for the object to reach a height of 48 feet.
To answer this question, we need to use the equation given: h = -16t2 + 64t. We know that the height is 48 feet and need to calculate the number of seconds it will take to reach this height.
We can rearrange the equation to solve for t, which will give us the number of seconds it takes to reach 48 feet:
48 = -16t2 + 64t
To solve for t, we can use the quadratic formula:
t = (-64 ± √(642 - 4(-16)(48))) / (2(-16))
After simplifying, we get:
t = (8 ± √384) / -32
Therefore, the two solutions are t = 5.00 seconds and t = -6.25 seconds.
Since the object is being propelled upwards, the only solution that makes sense is t = 5.00 seconds.
Therefore, it will take 5.00 seconds for the object to reach a height of 48 feet.
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What is the probability of hitting
a blue square on this dartboard?
Answer:
Total area of Dartboard = 8×12 = 96
Area of blue squares = 3 × 2² = 12
Probability( hitting blue squares )= 12/96 = 1/8
You go to the store and pay $68 for a pair of jeans. This statement best illustrates money used as a
This statement best illustrates money used as a medium of exchange. In this scenario, the individual goes to the store and exchanges $68 for a pair of jeans. Money serves as a medium of exchange when it is used to facilitate transactions between buyers and sellers. In this case, the buyer wants a pair of jeans, and the seller wants to sell them for $68. Without money, they would have to engage in bartering, which can be cumbersome and inefficient. Money makes the transaction smoother and allows both parties to get what they want. Overall, this example demonstrates how money is an essential tool for facilitating transactions in our modern economy.
Hi! Your question is about the function of money as illustrated by the example of paying $68 for a pair of jeans. This statement best illustrates money used as a medium of exchange.
In this scenario, money is being used as a medium of exchange because it is facilitating the transaction between you and the store. Instead of using barter or trading goods and services directly, you use money to acquire the pair of jeans. This makes transactions more efficient and convenient since it eliminates the need for a double coincidence of wants, which is when two parties each have something the other wants. As a medium of exchange, money serves as a universally accepted means to buy and sell goods and services, like your jeans purchase at the store.
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Measurement and area maneuvering the middle
The total surface area of cylinder is 112π units².
What is the formula for surface area of cylinder?The surface area of cylinder is -
A = 2πr(h + r)
Given is a cylinder as shown in the image attached.
We can write the total surface area of cylinder as -
A = 2πr(h + r)
A = 2π x 4 x (10 + 4)
A = 8π x 14
A = 112π
Therefore, the total surface area of cylinder is 112π units².
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Question 1
On page 179 of your textbook, what percent of group A are Blue squares? What percent of group B are Blue squares? What percent of group C are Blue squares?
The Percent of Blue sqaures out of the total for Group A is _ %.
The Percent of Blue sqaures out of the total for Group B is _ %.
The Percent of Blue sqaures out of the total for Group C is _ %.
Answer:
The Percent of Blue sqaures out of the total for Group A is 75%.
The Percent of Blue sqaures out of the total for Group B is 60%.
The Percent of Blue sqaures out of the total for Group C is 66.66666%.
Janelle weighed an unknown substance. It had a mass of 20.609 grams. She exposed the substance to a flame and carefully weighed the substance again. The substance then had a mass of 17.39 grams. Write and solve an equation to determine the amount of mass x the substance lost.
Let:
Wi = Initial weight
Wf = Final weight
x = amount of mass the substance lost
Therefore:
\(\begin{gathered} Wi-x=Wf \\ where\colon \\ Wi=20.609 \\ Wf=17.39 \end{gathered}\)solve for x:
\(\begin{gathered} x=Wi-Wf \\ x=20.609-17.39 \\ x=3.219g \end{gathered}\)There are 1,281 souvenir paperweights that need to be packed in boxes. Each box will hold 15
paperweights. How many boxes will be needed?
Answer:
86 boxes
Step-by-step explanation:
Using the numbers 6, 7, 9, and 10, how do you make 21?
Step-by-step explanation:
Greetings!!!
Firstly, multiply 10 by 9
10×9= 90Secondly, multiply 10 by 7
10×7=70Thirdly, subtract 70 from 90.
90-70= 20Add 7 on 20
20+7= 27Subtract 6 from 27.
27-6= 21Sorry for the first answer
Hope it helps!!!
B.
If m ZACB = 180°, and mZACD = 55°, then
mZDCB = [?]
Enter
Answer:
125
Step-by-step explanation:
/_ ACB = 180
/_ ACD = 55
/_ ACB is made up of /_ACD and
/_ DCB
Hence, /_ ACB = /_ ACD + /_ DCB
*We then plug in the known values*
180 = 55 + /_ DCB
We now solve for the missing angle
Subtract 55 from both sides
125 = /_ DCB
brown v board of education was passed in 1954. six years later in 1960, what was the percentage of black students attending integrated schools in the south? group of answer choices 2% 40% 20% 60%
In 1960, the percentage of black students attending integrated schools in the South was approximately 2%.
Brown v Board of Education was a landmark decision in 1954 that declared segregation in public schools unconstitutional. However, it took several years for this decision to be implemented in Southern states, and in 1960, only 2% of black students in the South attended integrated schools. This highlights the resistance to desegregation in Southern states and the slow pace of change. It also underscores the ongoing struggles for civil rights and the continued efforts to address systemic racism in education and other aspects of American society.
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It is 7 miles from Tina's house to the library and 6 miles from the library to the
grocery store. Tina wants to go the store after work. How many miles is it
from Tina's work to the store?
PLEASE I WILL GIVE BRAINLIEST ON MY LIFE! Show all of your work. Partial credit is only available if all your work is shown.
For problems 1 – 4, convert to customary units
1. 48,000 oz = 1.5 ton, 2. 4 and 1/5 T = 8,400 lb, 3. 7 gal = 56 pt, 4. 125 fl oz = 3.90625 qt 5. the perimeter of the rectangle is 132.8 m.
Describe Measurement unit?Measurement units are standard quantities used to express physical quantities, such as length, mass, time, volume, and temperature. They provide a standard framework for expressing and comparing quantities, allowing for precise and accurate communication and measurement.
There are two types of measurement units: fundamental units and derived units. Fundamental units are the basic units used to express physical quantities, such as meter (for length), kilogram (for mass), and second (for time). Derived units are combinations of fundamental units used to express other physical quantities, such as square meters (for area) or meters per second (for speed).
1. To convert 48,000 oz to T (tons):
1 ton = 32,000 oz (since there are 2,000 pounds in a ton, and 1 pound = 16 ounces)
48,000 oz ÷ 32,000 oz/ton = 1.5 T
Therefore, 48,000 oz = 1.5 T
2. To convert 4 and 1/5 T to lb (pounds):
1 ton = 2,000 lb
4 T = 8,000 lb
1/5 T = 1/5 x 2,000 lb = 400 lb
4 and 1/5 T = 8,000 lb + 400 lb = 8,400 lb
Therefore, 4 and 1/5 T = 8,400 lb
3. To convert 7 gal to pt (pints):
1 gal = 8 pt
7 gal x 8 pt/gal = 56 pt
Therefore, 7 gal = 56 pt
4. To convert 125 fl oz to qt (quarts):
1 qt = 32 fl oz
125 fl oz ÷ 32 fl oz/qt = 3.90625 qt
Therefore, 125 fl oz = 3.90625 qt
5. The perimeter of a rectangle with sides of 17.1 m and 49.3 m can be found by adding up all four sides:
Perimeter = 2(17.1 m) + 2(49.3 m) = 34.2 m + 98.6 m = 132.8 m
Therefore, the perimeter of the rectangle is 132.8 m.
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What is the sum of (8a+2b-4)
Answer:
2(4a+b-2)
Step-by-step explanation:
All you need to do is factor out 2 from the expression. (sorry if this is wrong)
Maya is building a circular pool. The radius of the pool will be
7 feet. She will put a cover on the pool and build a fence around
the pool. How much material will she need to cover the top of
the pool?
10.99 ft.
153.86 ft.
21.98 ft.
43.96 ft.
Answer:
153.86 ft. approx.
Step-by-step explanation:
Step one:
given data
The radius of the pool will be 7 feet
r= 7 feet
Required
The area of the material needed to cover the top of the pool
Step two:
the expression for the area is
A= πr^2
A= 3.142*7^2
A=3.142*49
A=153.95 ft
I need help!! im stuck and dont understand and this is due at 12
Answer:
K is the midpoint of JL.
I hope this helps:)
the measures of the bases of a trapezoid are 35 and 71. find the measure of the midsegment.
The measure of the mid - segment is 53 .
Given :
the measures of the bases of a trapezoid are 35 and 71.
What is trapezoid ?
A trapezoid is a four-sided shape which has one pair of sides as parallel. It is basically a two-dimensional shape or figure similar to a square etc .
Mid segment :
A mid segment of a trapezoid is the line segment connecting the midpoints of the two non-parallel sides of a trapezoid.
A trapezoid mid segment is parallel to the set of parallel lines in a trapezoid and is equal to the average of the lengths of the bases.
Measure of mid segment = sum of two bases / 2
= 35 + 71 / 2
= 106 / 2
= 53
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A town has a population of 17,000 and grows at 3% every year. what will be the population after seven years, to the nearest whole number
Answer:
20570
Step-by-step explanation:
3% of 17,000 is 510 so 17,000+7(510)=20570
Answer:
3570
Step-by-step explanation:
Which function has a range of {y | y > –10}?
The function that has a range of {y | y > -10} is any linear function with a positive slope and a y-intercept greater than -10.
In mathematical terms, we can represent this function as y = mx + b, where m is the slope and b is the y-intercept.
For the range to be {y | y > -10}, the function's y-values must be greater than -10.
This means that the line must be above the horizontal line y = -10.
A linear function with a positive slope will always have a range that extends to positive infinity, as the y-values increase indefinitely as x increases.
However, to satisfy the condition that y > -10, the y-intercept must also be greater than -10.
The y-intercept represents the value of y when x is equal to 0. So, the function must have a y-intercept greater than -10 to ensure that all y-values are greater than -10.
Overall, any linear function with a positive slope and a y-intercept greater than -10 will have a range of {y | y > -10}.
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compare the slopes of the regression line for the two models. in the unstandardized model, what does the slope (.96) mean?
A higher slope indicates a stronger relationship between the variables, and the sign (positive or negative) indicates the direction of the relationship (positive: both variables increase together, negative: one variable increases while the other decreases).
When comparing the slopes of the regression lines for two models, you're essentially looking at the differences in their unstandardized coefficients. These coefficients represent the change in the dependent variable for each unit change in the independent variable, keeping all other variables constant.
In the unstandardized model you mentioned, the slope of 0.96 means that for every one-unit increase in the independent variable, the dependent variable is expected to increase by 0.96 units, on average. This helps us understand the strength and direction of the relationship between the two variables in the model.
To compare the slopes between two models, simply examine their unstandardized coefficients.
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please help me this is due in 6 minutes :(
Answer:
Honestly I'm not so sure, but I really want to help so I think it's either B or D.
Step-by-step explanation:
I'm sorry :(
Where it says “Exercises.”
Is number 1 = 90 ?
Yes you are correct. The diagonals of any kite are perpendicular.
This can be proven by showing that triangle KGH is congruent to triangle KJH through the SSS congruence theorem. From there you break up the triangles focusing on triangle JRK and triangle GRK, now using the SAS rule to conclude that angle JRK = angle GRK. Since those are a linear pair, those angles must be right angles.
Side note: A kite is defined to be any quadrilateral in which it has two pairs of adjacent congruent sides. Not all four sides are the same length though (otherwise we would have a rhombus).
i need some help D: this is the question 4x>12 (basically a one step equation) but i need to find what x is and i really need some help with an explanation on how to do these types of problems pelase explain :'(
Answer:
x>3
Step-by-step explanation:
basically just divide that 4 joint to 12 which is 3
4. a picture can be added to a text in nine different locations on a page. if four different pictures are to be placed in the text, how many different designs are there?
As per the combination method, there are 3,024 different designs that can be created with four different pictures placed in nine different locations on a page.
There are seven options for the third picture and six options for the fourth picture.
To determine the total number of designs, we can use the multiplication principle, which states that the number of ways two or more independent events can occur together is equal to the product of the number of ways each event can occur individually.
Therefore, the total number of designs that can be created by placing four different pictures in nine different locations on a page can be found by multiplying the number of options for each picture:
9 x 8 x 7 x 6 = 3,024
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mother ate pies in the morning, she ate one pie, while she gave half of all those left to Little Red Riding Hood who gave it to her grandmother. On the way, Little Red Riding Hood ate 2 pies and gave a third of the rest to the wolf. Little Red Riding Hood brought 8 pies to her grandmother. How many pies did mother bake?
The number of pies that Red Riding Hood's mother made is 25.
How many pies did the mother bake?Let x represent the number of pies mother baked in the morning.
Pies left after mother ate 1 = x - 1
The number of pies that Red Riding Hood takes to her grandmother: 1/2(x - 1)
0.5(x - 1)
0.5x - 0.5
Pies left after Red Riding Hood ate 2: [(0.5x - 0.5) - 2]
Pie after she gave the wolf 1/3 ; (1 - 1/3) × [(0.5x - 0.5) - 2]
2/3 × [(0.5x - 0.5) - 2] = 8
In order to determine the value of x, take the following steps:
Multiply both sides of the equation by 3/2.
[(0.5x - 0.5) - 2] = 12
Add 2 to both sides of the equation: 0.5x - 0.5 = 12 + 2
0.5x - 0.5 = 12
Add 0.5 to both sides of the equation
0.5x = 12 + 0.5
0.5x = 12.5
Divide both sides by 0.5
x = 25
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Consider the equation 1/4(x – 5) = (y – 2)^2. What is the equation of the directrix?
A.) x = 4.0000
B.) x = 4.7500
C.) x = 4.6250
D.) x = 4.9375
Answer:
D
Step-by-step explanation:
Find the vertex
¼(x-5) = (y-2)²
x-5 = 4(y-2)²
x = 4(y-2)² + 5
This is a right-opening parabola with vertex (5,2).
focal length p = 1/(4·coefficient of y²) = 0.0625
directrix: x = 5-p = 4.9375
D
The equation of directrix of the parabola will be x = 4, i.e. Option A.
What is directrix ?Directrix is a straight line distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus. The directrix is perpendicular to the axis of symmetry and does not touch the parabola.
We have,
\(\frac{1}{4} (x - 5) = (y - 2)^2\)
Now,
Rewrite as,
\((x - 5) = 4(y - 2)^2\)
Now,
\(x= 4(y - 2)^2+5\)
Now,
Comparing it with the vertex form,
i.e.
\(x = a ( y - h )^ 2 + k\)
Vertex of parabola = (2, 5),
So,
Focus at (a, 0),
So,
Focus of the parabola = (4, 0),
i.e., a = 4
Now,
The Equation of directrix is given by x = a
So,
The equation of the directrix of this parabola,
x - a = 0,
i.e.
x - 4 = 0
⇒
x = 4
Hence, we can say that the equation of directrix of the parabola will be x = 4, i.e. Option A.
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