TRUE OR FALSE

The margin of error of a confidence interval is the error from using volunteer sampling methods.

True or False

Answer:

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Answer:

(0, 9)

Step-by-step explanation:

y = 9 is the same as (0, 9)

Answer:

24

Step-by-step explanation:

There are 4 sides to a box. Meaning you will have to divide 96 by 4. Giving you 24. Since perimeter means to add, add 24 4 times and you will be given the result of 96.

Voting rights for various segments in the United States was extended in stages from the time the United States gained independence, to the late 1900s.

In the late 1700s and early 1800s, voting rights were expanded to include more people, such as white men who owned property. The 15th Amendment was ratified in 1870, and prohibits the federal and state governments from denying a citizen the right to vote based on that citizen's "race, color, or previous condition of servitude."

The 19th Amendment was then ratified in 1920, and prohibits the federal and state governments from denying the right to vote to citizens of the United States on the basis of sex. Then the Voting Rights Act of 1965 was passed to overcome legal barriers at the state and local levels that denied African Americans the right to vote under the 15th Amendment. It was one of the most effective pieces of legislation passed during the Civil Rights Movement.

The 26th Amendment lowered the national voting age from 21 to 18 for all federal, state, and local elections.

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Full question is:

Extending Voting Rights; how have voting rights been extended in the United States since independence ?

Answer:

5 cm per hour

if this helps

Step-by-step explanation:

Answer:

70% of the data points

Step-by-step explanation:

To calculate the percentage of data points that fall within one standard deviation of the mean, you can follow these steps:

Calculate the mean of the data set: (55+54+66+38+53+56+57+66+45+65)/10 = 55

Calculate the standard deviation of the data set: √ (((55-55) ²+(54-55) ²+(66-55) ²+(38-55) ²+(53-55) ²+(56-55) ²+(57-55) ²+(66-55) ²+(65-55)²)/9) = 7.8

Determine the range for data points within one standard deviation of the mean: Mean ± 1 * standard deviation = 55 ± 1 * 7.8 = [47.2, 62.8]

Count the number of data points that fall within this range: 55, 54, 53, 56, 57, 45, and 65 fall within this range.

Calculate the percentage of data points that fall within this range: (7/10) * 100 = 70%

Therefore, 70% of the data points in the given data set fall within one standard deviation of the mean.

Therefore , the solution of the given problem of ratio comes out to be

there are 32 fauvists .

Ratios show how often one number is contained in another in mathematics. For instance, the ratio of oranges to lemons in a fruit dish is 8 to 6 if there are 8 oranges and 6 lemons present. In a similar vein, the proportion of oranges to whole fruit is 8, while that of lemons to oranges is 6:8. A ratio is an ordered pair of numbers a and b that is expressed as a / b, with b not equal to zero. An equation equating two ratios is known as a ratio. The ratio can be expressed as 1:3, for instance, if there is 1 boy and 3 girls (for every boy she has 3 girls) 3/4 are girls, while 1/4 are boys.

Here,

Given :

the ratio is 13:4

and there were 104 impressionists

Let x be the fauvisits

=> 13:4 = 104/x

=>  13 /4  = 104/x

=> x = 104 *4 /13

= >x  = 32

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Check the picture below.

[tex]\tan(37^o )=\cfrac{\stackrel{opposite}{49}}{\underset{adjacent}{DB}}\implies DB=\cfrac{49}{\tan(37^o )} \\\\\\ \sin(56^o )=\cfrac{\stackrel{opposite}{DB}}{\underset{hypotenuse}{AD}}\implies AD=\cfrac{DB}{\sin(56^o )} \\\\\\ AD=\cfrac{ ~~ \frac{49}{\tan(37^o )} ~~ }{\sin(56^o )}\implies AD=\cfrac{49}{\tan(37^o ) \sin(56^o )}\implies AD\approx 78.43[/tex]

Make sure your calculator is in Degree mode.

The shaded region of segments is given in the attachment.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The diameter is the length of the line through the center that touches two points on the edge of the circle.

A segment of a circle can be defined as a region bounded by a chord and a corresponding arc lying between the chord's endpoints.

A sector of a circle is a pie-shaped part of a circle made of the arc along with its two radii.

Hence, the shaded region of segments is given in the attachment.

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The particle's total d2 distance for the course of the time period indicated above, in accordance with the supplied assertion, was -3/2 m.

An example of a utility rule is one that generates a single output from a single input. The picture was obtained from Alex Federspiel. The equation y=x2 serves as an example of this. There is only one output for y for every input for x. We may assert that y appears to be a time variable given that x remain the source value. A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

dx(t)/dt = 5t-8

[tex]\int_0^{x(t)} \mathrm{dx}(t)=\int_0^3 5 t-8 \mathrm{~d} t[/tex]

[tex]x(t)=\left.\left[\frac{5}{2} t^2-8 t\right]\right|_0 ^3[/tex]

f(0) = 0

[tex]f(3)=\frac{5}{2} * 3^2-8 * 3=-\frac{3}{2} m[/tex]

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The complete question is-

The velocity function v(t) (in meters per second) is given for a particle moving along a line.

V(t)= 5t-8, 0 <equal to 't' <equal to 3

Find the Total distance d2 traveled by the particle during the time interval given above?

I need help solving this problem, i know how to solve it but i keep getting the wrong answer. My answer is 457/10.. how do you solve this problem

Answer:

10cm

Step-by-step explanation:

Pythagoras

(6×6) + (8×8) = □×□

36 + 64 = 100

square root of 100 = 10

Answer:

Step-by-step explanation:

The condition for a triangle whose two sides are 6cm and 8cm is the triangle should be right angled triangle.

so by this condition,

            =>    (hypotenuse)^2 = (base)^2 + (perpendicular)^2

           =>      (hypotenuse)^2 =  (6)^2 + (8)^2

          =>        hypotenuse = 10 cm

so the thisrd side of triangle is 10cm.

What is the likelihood that for at least a single two numbers is 1 if they are randomly selected from the range of 1, 2, 3, 4, 5, and 6? To remove one from the chance that no choices for 1 are made:

How do probability and an example work?

The likelihood of success is a measure of probability. the number of potential outcomes. For instance, the chance of tossing a coin & obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail).

We denote this with P(heads)

12 P(at least 1 one) = 1 - P. (no ones)

P(no ones) equals (5/6)*(5/6)

25/36 P(at least 1 one) equals (1 - 25/36)

11/36 P(sum higher than product) equals P(at least 1 one) = 11/36

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Answer: "-99"

Step-by-step explanation:

You should begin evaluating the given expression from the innermost part.

So, you should find the s(5) firstly. And then, you should use this value for the other function to find r(s(5)).

If you calculate s(5) ==> (-2) * (5)^2 + 1 = -49

This means that the question is asking what is r(-49), indeed.

If you finally calculate r(-49) ==> 2 * (-49) - 1 = -99

The answer is -99.

The eight term of the geometric sequence 125/9, 25/3,5,3,.... is 243/625.

These steps to answer:

Question above is a geometric sequence consisting of 4 terms to find the 8th term, then we can use the geometric sequence formula below

Tn= a. r^n-1

is known

a= 125/9

r=T4/T2

r=3/5

then to find T4

Tn= a. r^n-1

T8=125/9. (3/5^8-1)

T8=125/9. (3/5)^7)

T8=125/9. (2187/78125)

T8=243/625

A geometric sequence is a sequence that satisfies the quotient of a term with the preceding terms which are of course consecutive. This thing has a constant value. Not only that, geometric sequences are also known as 'measurable sequences' which are still closely related to arithmetic sequences and series.

Examples of geometric sequences are a, b, and c. Then c/b = b/a = constant, this is where the quotient of adjacent terms will be obtained and then it is said to be the ratio of the geometric sequence which is given the symbol "r".

Another example, which is much easier to understand, is for example, if you have a sequence and a series: 2, 4, 8, 16, 32, ….. etc., then from the sequence and series it can be seen between the first and second terms and so on, have the same multiplier.

So, to find the nth term, you can easily find the ratio first. By knowing 'r', then you will easily find Tn.

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The fraction of the students that played the trumpet is 1/6

The school band has several students

1/4 play a brass instrument

2/3 of those students play the trumpet

Therefore the fraction of students that paly the trumpet can be calculated as follows

1/4 × 2/3

= 1/6

Hence the fraction of students that play the trumpet is 1/6

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The correct equations to represent Ted's total September costs are: (3600+ 1.50) x 12.000 1.50(3600+) 12,000.

Cost is the total expenditure or loss incurred in the production, acquisition, or use of a product or service. It can be calculated as the sum of fixed costs (such as rent and labor costs) plus variable costs (such as materials and energy). Cost can be expressed both in monetary terms (such as dollars or euros) or in terms of resources (such as time or effort). In business, cost is a crucial factor for determining profitability and should be taken into consideration when making decisions about production, sales, and pricing strategies.
The first equation calculates the cost of the fixed monthly costs plus the cost of the 16 ounce bags of coffee multiplied by the total number of bags sold. The second equation calculates the cost of the 16 ounce bags of coffee multiplied by the fixed monthly costs plus the total number of bags sold.

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The limit of f(x) as x approaches 3 does not exist, as the lateral limits are different.

The first step in calculating the limit of a function is calculating the numeric value of the function at the value of x which the function approaches.

On the graph of a function, the limit of f(x) as x approaches a value of a is defined considering it's lateral limits, that is:

If the lateral limits are different, then the limit does not exist.

To the left of x = 3, the line ends at point (3,1), hence the lateral limit to the left of x = 3 is given as follows:

1.

To the right of x = 3, the line begins at point (3,3), hence the lateral limit to the right of x = 3 is given as follows:

3.

As the lateral limits as x approaches 3 are different, the limit of f(x) as x approaches x does not exist.

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Answer:

63

Step-by-step explanation:

b*h/2

b= 18

h=7

(7*18)/2 = 63

On solving the provided question, we can say that Probability 8 drive to work[tex]= C(8,8) 0.77^8 * 0.23^0 = 0.77^8 = 0.123 = > 1 - 0.1236 = 0.8764[/tex]

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

x = number that drive to work alone

Likelihood that exactly eight people drive alone to work is equal to the probability that no more than seven people drive alone.

[tex]P(x < = 7) = 1 - P(x > 7) = 1- P(x = 8)[/tex]

That probability

Probability 8 drive to work

[tex]= C(8,8) 0.77^8 * 0.23^0 = 0.77^8 = 0.123\\=1 - 0.1236 = 0.8764[/tex]

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The equation to determine how many bags Trisha brought is: T = 180 - (4 + 6)

We know that the total number of clementines is 180, Sal brought 4 bags and Joe brought 6. To determine how many bags Trisha brought, we need to determine the total number of bags that Sal and Joe brought together. We can do this by combining the two numbers together (4 + 6). This will give us a total of 10 bags. To determine how many bags Trisha brought, we need to subtract the total number of bags that Sal and Joe brought (10) from the total number of clementines (180). This gives us an answer of 170. This means that Trisha brought 170 clementines, or 7 bags. Therefore, the equation to determine how many bags Trisha brought is: T = 180 - (4 + 6).

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The probability that a randomly selected customer likes hot or iced coffee is 0.83.

What is probability?

To find the probability that a randomly selected customer likes hot or iced coffee, we need to add the probability of liking hot coffee and the probability of liking iced coffee, while subtracting the probability of liking both (since we don't want to count those customers twice).

So, P(H or I) = P(H) + P(I) - P(H and I)

We are given that P(H) = 0.75, P(I) = 0.30, and P(H and I) = 0.22 (from the venn diagram).

Therefore, P(H or I) = 0.75 + 0.30 - 0.22 = 0.83

So the probability that a randomly selected customer likes hot or iced coffee is 0.83.

Therefore, the answer is 0.83.

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Complete question is: according to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. the venn diagram displays the coffee preferences of the customers. a venn diagram titled coffee preferences. one circle is labeled h, 0.53, the other circle is labeled i, 0.08, the shared area is labeled 0.22, and the outside area is labeled 0.17. a randomly selected customer is asked if they like hot or iced coffee. let h be the event that the customer likes hot coffee and let i be the event that the customer likes iced coffee. the probability that a randomly selected customer likes hot or iced coffee is 0.83.

For feet we will divide the given no. of inches by 12 and for inches we will multiply the given number of feet by 12.

Since 1 foot is equal to 12 inches, the given value (in feet) is converted to inches by multiplying by 12. To compare lengths given in different units or to perform arithmetic operations on them, it is crucial to learn how to convert feet to inches (ft to in).

We know that 1 feet = 12 inches.

And to find how many feet are in a given number of inches

We will divide the given no. of inches by 12.

And

To find how many inches are given in a number of feet

We will multiply the given number of feet by 12.

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Answer:

Step-by-step explanation:

c

Answer: C

Step-by-step explanation:

The rate of change will be the same for all years. The rate of change is 7%. The . basic formula for this equation is: I(1+R)^T, where I = Initial amount, R = Rate of growth, and T = Time. So the R here is 0.07, or 7%. The growth RATE is constant, the growth AMOUNT will increase each year.

Answer:

Step-by-step explanation:

3a-7=-4b+1

3a=-4b+1-7

simplify:

3a=-4b-6

divide by 3:

a=-4b-6/3

A total of 14 prisms can be accommodated and their total volume would be 504 in³.

Step-by-step explanation:

First, we have to figure out the angle at the vertex.  For that, we need the Law of cosines. c²=a²+b²-2ab*cos(c)

4²=9²+9²-2(9)(9)cos(c)

16=81+81-162cos(c)

16-81-81=-162cos(c)

-142=-162cos(c)

-142/-162=cos(c)

.9=cos(c)

By using the inverse, we get:

cos^-1(.9)=c

25.8=c

Now that we know c=25.8, we can figure out how many cheese wedges there would be in the circle.

36÷25.8=14

Now we figure out volume.

1/2(9)(4)(2)=36 in³

Therefore, A total of 14 prisms can be accommodated and the total volume would be 14x36=504 in³.

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The surface area of the hemispherical vessel is 715.92 square centimeter and the cost to paint is Rs. 3579.62.

An object's surface area is the total area that all of its surfaces occupy. Different 3D shapes in geometry have various surface areas. There are two groups for the surface area:

Surface area of the lateral Surface that is curved Surface area overall.

Given that the external diameter of the hemispherical vessel is 16cm, hence the radius is 8cm.

The internal diameter of the hemispherical vessel is 12cm, hence the radius is 6cm.

The total surface area of the vessel is given by the following formula:

[tex]SA= 2\pi R^2 + 2\pi r^2 + \pi (R^2 - r^2)\\\\SA= 2(3.14)(8)^2 + 2(3.14)(6)^2 + (3.14)(8^2 - 6^2)\\\\SA= 401.92 + 226.08 + 87.92\\\\SA= 715.92[/tex]

The total surface area of the vessel is 715.92 square centimeters.

The cost to paint 1 square centimeter is Rs. 5, hence the cost to paint 715.92 square centimeters is:

C = (715.92)(5)

C = 3579.6

Hence, the cost to paint 715.92 square centimeters is Rs. 3579.62.

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The equation of g(x), after the translations, is given as follows:

g(x) = x² + 8x + 14.

There are four translation rules that can be applied to a function, and they are listed as follows:

The parent function for this problem is given as follows:

f(x) = x².

The translations, along with their effects, are given as follows:

Hence the function g(x) is defined as follows:

g(x) = (x + 4)² - 2

g(x) = x² + 8x + 16 - 2

g(x) = x² + 8x + 14.

Which is in the standard form as is desired for this problem.

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Steve has three quarters, three nickels and three pennies. if Steve selects three coins at random and without replacement, then the probability  that the total value is exactly 35 cents is 0.107.

Probability:

Probability is the branch of mathematics that deals with numerical descriptions of the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2.

Probability without Replacement:

Probability without replacement means that once you draw an item, you don't put it back into sample space before drawing a second item. In other words, an item cannot be drawn more than once. For example, if he takes one candy out of a box containing nine candies and does not replace the first one, he takes the second one. Of course, the rehearsal room for the second event no longer stays at 9 because we didn't replace the first candy. So the second event has a sample space of 8. That is, the sample space of the second event has changed.

According to the Question:

The only way you can get 35 cents is with 1 quarter and 2 nickels    

There are 3 ways to pick up a quarter  ³C₁

and there are 3 ways you can pick up 2 nickels : ³C₁

Thus,

There are  3× 3 = 9 ways to choose 1 quarters and 2 nickels.

That is 9 favorable outcome.

Now,

there are ⁹C₃ = 84 ways to choose 3 coins from 9  

Therefore,

the probability of picking up 35c is    

9/84

= 3/28

= 0.107  

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The dimensions of the rectangular field with a minimum cost are x = 50 m and y = 2 m.

Let x be the length of the north-south sides and y be the length of the east-west sides.

The area will be given by: A = xy

The cost will be given by: C = 20x + 5y

We have to find the dimensions (x and y) that minimize the cost C subject to the constraint that the area A is 100 m2.

Using the constraint, we have:

A = xy = 100

We can solve this equation for one of the variables in terms of the other, say x in terms of y.

We get: x = 100/y

Substituting this into the cost equation, we get:

C = 20(100/y) + 5y

Differentiating this equation with respect to y and equating it to 0, we get:

dC/dy = 20/y2 - 5 = 0

or, y2 = 4

or, y = ±2

We choose the positive value for y, so y = 2

Substituting this value of y in the equation for x, we get:

x = 100/2 = 50

Therefore, the dimensions of the rectangular field with a minimum cost are x = 50 m and y = 2 m.

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