Dylan wants to determine a 80 percent confidence interval for the true proportion of high school students in the area who attend their home basketball games. how large of a sample must he have to get a margin of error less than 0.02? [to find n, use the value p* = 1/2 f

Answer:

The system of equations 3x + 7y = 80 and 6x + 3y = 63.75 can be used to determine the cost of one CD and one DVD.

Step-by-step explanation:

Given that:

Cost of 3 CDs and 7 DVDs = $80

Cost of 6 CDs and 3 DVDs = $63.75

Let,

x be the cost of one CD

y be the cost of one DVD

According to given statement;

3x + 7y = 80

6x + 3y = 63.75

Hence,

The system of equations 3x + 7y = 80 and 6x + 3y = 63.75 can be used to determine the cost of one CD and one DVD.

Answer:

1.78 lb

Step-by-step explanation:

Total meat needed = 10 lb

David picks out 3 packages at the supermarket.

Each package weighs

2.73 lb

3.2 lb

2.29 lb

Total weight of the 3 packages = 2.73 lb + 3.2 lb + 2.29 lb

= 8.22 lb

How much more meat does David need?

Amount of meat David needs more = Total meat needed - Total weight of meat picked at the supermarket

= 10 lb - 8.22 lb

= 1.78 lb

David needs 1.78 lb more of meat to complete the total 10 lb meat needed

Answer:

z=70 degrees y=117 degrees

Step-by-step explanation:

To find angle z, you have to know that when two sides are against each other, they have to equal 180 degrees so 180-110 is equal to 70. Therefore z is equal to 70 degrees. To find y, you have to know that a quadrilateral's total degrees is equal to 360 degrees. Therefore, you have to do 360-93-80-70 which is equal to 117 degrees. Therefore y is equal to 117 degrees.

If this answer has helped you, please mark it as brainliest

Answer:

x=59

Step-by-step explanation:

Complementary angles add up to 90 degrees therefore...

x+z=90

Substitute 31 for z:

x+31=90

Subtract 31 from both sides

x=59

Answer:

x= 59°

Equation:

x+z°=90°

x+31°=90°

90°-31°=x

90°-31°=59°

Step-by-step explanation:

So if Z and X are complementary angles, means that:

x+z°=90°

So if z=31 then the equation becomes:

x+31°=90°

If we flip the equation to becoming solvable then the equation becomes:

90°-31°=x

Now we solve:

90°-31°=59°

Hopes this helps!!

Answer: c

Step-by-step explanation:

Answer:

1.7x25=42.5

70-4.5=27.5

her loss will be£27.5

8/4 or 4/2

The first number is you simply put it in the numerator. And whatever the second number is you just put it at the denominator.

A. The y-intercept is at the point (0, 0).

B.  The zeros are x = 0 or x = ±√5

C.

A) The y-intercept of this graph is the point where x = 0.

When  x = 0, the value of y

= 0^4 - 5*0^2

= 0.

Therefore, the y-intercept is at the point (0, 0).

B) The x-intercepts/roots of the function are the values of x that make y = 0.

To find these values, we need to set y = 0 and solve for x:

x⁴ - 5x² = 0

x⁴ = 5x²

x² = x⁴/5

x = ±√(x⁴/5)

We can simplify this expression by factoring x² out of both sides:

x²(x² - 5) = 0

x² = 0 or x² - 5 = 0

x = 0 or x = ±√5

hence the x-intercepts are at x = 0 and x = ±√5.

C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.

x → ∞ f(x) → ∞

x → -∞ f(x) → -∞

D) The graph is attached

Learn more about zeros at:

https://brainly.com/question/29415775

#SPJ1

Answer:

$93.36

Step-by-step explanation:

First subtract 40 from 100 to find how much of the total cost is left. Then multiply 60% or .6 by the total to get your answer. Hope this helps!

Answer:

$93.36

Step-by-step explanation:

After solving the value of y is 541.

The value of set A is 281, 268, 225, 290. So

The mean of set A = (281 + 268 + 225 + 290)/4

The mean of set A = 1064/4

The mean of set A = 266

The value of set B = 392, 512, 413, 422, у

The mean of set B = (392 + 512 + 413 + 422 + у)/5

The mean of set B = (1739 + y)/5

The ratio of Mean of Set A : Mean of Set B = 7 : 12

So, 7x = 266

Divide by 7 on both side, we get

x = 266/7

x = 38

Now, 12x = 12 × 38 = 456

The mean of set B = 456

(1739 + y)/5 = 456

Multiply by 5 on both side, we get

1739 + y = 2280

Subtract 1739 on both side, we get

y = 541

To learn more about ratio link is here

brainly.com/question/13419413

#SPJ4

The complete question is:

Here are two sets of numbers, A and B.

 Set A                            Set B

281  268                     392  512  413

225  290                        422  у

Mean of Set A : Mean of Set B = 7 : 12.

Work out the value of y.

The limit doesn't exist.

The value that a function (or sequence) approaches when the input (or index) gets closer to a particular value is known as a limit. Calculus and mathematical analysis are impossible without limits, which are also required to determine continuity, derivatives, and integrals.

In addition to being closely related to limit and direct limit in category theory, the idea of a limit of a sequence is further generalized to include the concept of a limit of a topological net.

A function's limit is typically expressed in formulas as

\(\lim_{x \to c } F(x) = L\)

It is typically used to assign values to specific functions at locations where none are defined while maintaining consistency with existing values.

\(F(x) = -x+8 ,x\leq 0\)

\(F(x) = 4x+9 , if x > 0\)

\(\lim_{x \to 0^{+} } F(x) = \lim_{n \to 0^{+} } (4x+9) = 9\)

\(\lim_{x \to 0^{-} } F(x) = \lim_{x \to 0^{-} } (-x+8) =8\)

\(\lim_{x \to 0^{+} } F(x) \neq \lim_{x \to 0^{-} } F(x)\)

So limit doesn't exist

For limit to exist

\(\lim_{x \to 0^{+} } F(x) = \lim_{x \to 0^{-} } F(x) = \lim_{x \to 0} f(x)\)

must be satisfied

To learn more about Limit, visit:

https://brainly.com/question/24067291

#SPJ4

Answer:

(2,5)

Step-by-step explanation:

Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
To learn more about : equity

https://brainly.com/question/27821130

#SPJ8

Minimal DFA's for the given languages are as follows:

(a) For L = {anfm: n ≥ 2, m > 1}, the minimal DFA has 3 states: the initial state, a state for accepting 'a', and a final state for accepting 'm'.

(b) For L = {ab: n ≥ 0} U {b^a:n> 1}, the minimal DFA has 2 states: the initial state and a final state for accepting 'b' after 'a'.

(c) For L = {a": n ≥ 0, n = 3}, the minimal DFA has 4 states: the initial state, two states for accepting 'a', and a final state for accepting 'a' three times.

(d) For L = {a": n2, n #4}, the minimal DFA has 4 states: the initial state, two states for accepting 'a', and a final state for accepting 'a' even number of times.

(e) For L = {a": n mod 3=0}U{a": n mod 5 = - = 1}, the minimal DFA has 15 states representing all possible remainders when 'n' is divided by 3 and 5.

To construct the minimal DFA's for the given languages, we consider the possible states and transitions based on the language rules. The aim is to minimize the number of states while preserving the language acceptance.

In each case, the minimal DFA is derived by eliminating redundant states and merging equivalent states. We only retain the necessary states to represent the language, ensuring that all valid inputs are accepted, and any additional states are unnecessary.

By carefully analyzing the language requirements, we can design the minimal DFA's to meet the given conditions. This involves determining the number of states required to recognize certain patterns or combinations of symbols, including the initial and final states.

The minimal DFA's presented above represent the most compact representations of the given languages, satisfying the language rules while minimizing the number of states.

Learn more about Minimal DFA's

brainly.com/question/31358067

#SPJ11

So on solving the provided question, we can say that in this triangle,

angle B = 90, AC = 13; AB = x 10

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

To know more about triangle visit:

here, in this triangle,

angle B = 90

AC = 13

so by Pythagoras theorm

AB = x 10

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

The correct answer is a. high. In a one-sample chi-square test, the observed frequencies of the variable being studied are compared to the expected frequencies assuming a particular distribution or hypothesis.

The chi-square test statistic measures the difference between the observed and expected frequencies and determines whether this difference is statistically significant.

If the respondents are distributed very unequally across the levels of the variable being studied, the observed frequencies will be very different from the expected frequencies. This will result in a large difference between the observed and expected frequencies, leading to a high value for the chi-square test statistic.

The chi-square value is calculated by summing the squared differences between the observed and expected frequencies, divided by the expected frequencies. If the respondents are distributed very unequally across the levels of the variable being studied, the expected frequencies will be very different from the observed frequencies, resulting in a high value for the chi-square test statistic.

Therefore, in a one-sample chi-square test, if your respondents are distributed very unequally across the levels of your variable, your chi-square value will be high.

Learn more about chi-square  here:

https://brainly.com/question/31871685

#SPJ11

\((a) {11}^{a} = 1331 \\ = > {11}^{a} = {11}^{3} \\ = > a = 3\)

\((b) {2}^{b} = \frac{1}{128} \\ = > {2}^{b} = (\frac{1}{2} ) ^{7} \\ = > {2}^{b} = {2}^{ - 7} \\ = > b = - 7\)

\((c) {9}^{c} = 243 \\ = > {3}^{2 \times c} = {3}^{5} \\ = > {3}^{2c} = {3}^{5} \\ = > 2c = 5 \\ = > c = \frac{5}{2} \\ = > c = 2.5\)

\((d) {10}^{d} = 0.01 \\ = > {10}^{d} = \frac{1}{100} \\ = > {10}^{d} =( \frac{1}{10} ) ^{2} \\ = > {10}^{d} = {10}^{ - 2} \\ = > d = - 2\)

Hope it helps.

Do comment if you have any query.

In essence, a function is a rule that assigns to each value of the input set (also known as the domain), a unique value of the output set (also known as the range).

A function is a fundamental mathematical concept that is used to describe the relationship between two sets of values.

To understand the idea of a function, imagine a machine that takes in an input and produces an output. The input values are the domain of the function, and the output values are the range. A function can be represented as an equation, a graph, or a table. For example, the equation f(x) = x + 3 represents a function that takes in an input value x and produces an output value that is 3 greater than the input value.

One of the key features of a function is that each input value must have a unique output value. This means that if you input the same value into the function twice, you should get the same output value both times. In mathematical terms, we say that a function is well-defined if it has a unique output value for each input value.

Functions are used in a wide range of mathematical applications, from algebra and calculus to statistics and data analysis. They provide a powerful tool for describing and analyzing relationships between different sets of values.

To know more about function here

https://brainly.com/question/28193995

#SPJ4

Answer:

she will need to get a 100 on the fourth test

Step-by-step explanation:

(252+x)/4 = 88

252+x = 352

x = 100

Answer:

Step-by-step explanation:

Answer:

The Inequality representing money she can still spend on her friend birthday gift is .

Jordan can still spend at most $30 on her friends birthday gift.

Step-by-step explanation:

Given:

Total money need to spend at most = $45

Money spent on Yoga ball = $15

We need to find how much money she can still spend on her friend birthday gift.

Solution:

Let the money she can still spend on her friend birthday gift be 'x'.

So we can say that;

Money spent on Yoga ball plus money she can still spend on her friend birthday gift should be less than or equal to Total money need to spend.

framing in equation form we get;

The Inequality representing money she can still spend on her friend birthday gift is .

On solving the the above Inequality we get;

we will subtract both side by 15 using subtraction property of Inequality.

Hence Jordan can still spend at most $30 on her friends birthday gift.

Answer:

120 cm^2

Step-by-step explanation:

The area of the parallelogram is

A = bh

A = 15*8

A =120

System specifications can be expressed using predicates, quantifiers, and logical connectives. These expressions are used to define the characteristics of a system.



System specifications refer to the features and capabilities that a system possesses. These features can be expressed using predicates, quantifiers, and logical connectives. Predicates are used to define the characteristics of a system. For example, "the system has a graphical user interface" is a predicate that describes a characteristic of the system.

Quantifiers are used to express how many instances of a predicate are present in a system. For example, "there are multiple users in the system" uses the quantifier "multiple" to indicate that there are more than one instance of the predicate "user".

Logical connectives are used to connect different predicates or propositions. For example, "the system has a graphical user interface and supports touch screen inputs" uses the logical connective "and" to connect the two predicates.

In summary, system specifications can be expressed using predicates, quantifiers, and logical connectives. These expressions are used to define the characteristics of a system and to indicate how many instances of a predicate are present in the system. Logical connectives are used to connect different predicates or propositions.

To know more about system refer here:

https://brainly.com/question/30647003

#SPJ11

After answering the presented question, we can conclude that The equation rate of change in the number of bacteria for the first 5 minutes of the experiment is 204 bacteria per minute.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

The function are

slope = (change in y) / (change in x

\(b(5) - b(0) = 4(2)^5 - 4(2)^0 = 1020\)

The change in x is 5 - 0 = 5.

slope = (change in y) / (change in x) = 1020 / 5 = 204

The average rate of change in the number of bacteria for the first 5 minutes of the experiment is 204 bacteria per minute.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

Step-by-step explanation:

GOOD LUCK!

To prove AEB ≅ DEC by ASA (Angle-Side-Angle), the properties that can be used are:

So, the properties to use for proving AEB ≅ DEC by ASA are "Opposite angles are congruent" and "All sides are congruent."

\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

Answer:

To prove AEB ≅ DEC by ASA (Angle-Side-Angle), the properties that can be used are:

1. Opposite angles are congruent: This property is necessary to establish that ∠AEB ≅ ∠DEC, as both angles are opposite each other in the square ABCD.

2. All sides are congruent: This property is necessary to establish that AE ≅ DE, as both sides are corresponding sides of the square ABCD.

So, the properties to use for proving AEB ≅ DEC by ASA are "Opposite angles are congruent" and "All sides are congruent."

Step-by-step explanation:

Answer:

z=64 degrees

Step-by-step explanation:

angle N add up to 56 (31+25)

angle m is 60 degrees

angle z must be 64 degrees because N+M+Z must add up to 180 degrees

so 56+60+Z=180

Z=64 degrees

Step-by-step explanation:

Turn the second fraction (the one you want to divide by) upside down. (this is now a reciprocal ). Step 2. Multiply the first fraction by that reciprocal. Step 3. Simplify the fraction (if needed)

This is called Keep Change Flip

You will keep the first fraction

Change the division sign and then,

You will flip the last one

2             3

--     ÷      --

6             2

--------------------------------

K      C      F

2               2             4

---     x      ---      =    ---  Simplify if needed

6               3            18

--------------------------------

4          2

---   =   ---  I divided by two because it's the BCF they have

18        9

(✿◠‿◠)

BFC - Biggest Common Factor

Answer:

A lower price and quantity would result.