The sale price of every item in a store is 65% of its usual price. The usual price of a tennis racket is $70, what is its sale price?

Answer:

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo. From the photo, lines AO, BO and CO meet at a common point O. Since angle AOB is 155 degrees and angle COB is 15 degrees lesser, then angle COB is

155 - 15 = 140 degrees

Recall, the sum of the angles at a point is 360 degrees. Therefore, the sum of the angles at point O is

Angle AOC + 140 + 155 = 360

Angle AOC + 295 = 360

Angle AOC = 360 - 295 = 65 degrees

Answer:

x=6

Step-by-step explanation:

13(x-3) = 39

Divide each side by 13

13/13(x-3) = 39/13

x-3 = 3

Add 3 to each side

x-3+3 = 3+3

x = 6

Answer:

x=6 ,is right.

6-3=3&multiply 13=39

so answer is x=6

mark brainleast plz

The words are on each page is 73.

Given:

A book has 136 pages. each page has the same number of words, and each page has no more than 100 words on it.

The number of words in the book is congruent to 184, modulo 203.

136n mod 203 =184,

solve for n

Using CRT + MMI

n =203m  +  73,  where m =0, 1, 2, 3....

Therefore the words are on each page is 73.

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Answer: 10%

Step-by-step explanation:

The following information can be gotten from the question regarding the number of people that went to the swimming pool are:

First week of July = 1020

Second week = 1020 - 100 = 920

Third week = 920 + 130 = 1050

Fourth week = 1050 - 132 = 918

The percentage decrease over the four weeks will be:

= (1020 - 918)/1020 × 100

= 102/1020 × 100

= 10%

To determine the values of \(\(p\)\) for which the series \(\(\sum_{n=1}^{\infty} \frac{9(1+n^{10})^p}{n}\)\) converges, we can use the p-series test.

The p-series test states that for a series of the form \(\(\sum_{n=1}^{\infty} \frac{1}{n^p}\), if \(p > 1\),\) then the series converges, and if \(\(p \leq 1\),\) then the series diverges.

In our case, we have a series of the form \(\(\sum_{n=1}^{\infty} \frac{9(1+n^{10})^p}{n}\).\)

To apply the p-series test, we need to determine the exponent of \(\(n\)\) in the denominator. In this case, the exponent is 1.

Therefore, for the given series to converge, we must have \(\(p > 1\).\) In other words, the values of \(\(p\)\) for which the series is convergent are \(\(p > 1\) or \(p \geq 1\).\)

To summarize:

- If \(\(p > 1\)\), the series converges.

- If \(\(p \leq 1\)\), the series diverges.

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Answer:d

Step-by-step explanation:

The graph is in the attached image.

If the common difference is 2, then the sum of the first 8 terms is 88 and If the common difference is 3, then the sum of the first 8 terms is 116.

To find the sum of the first 8 terms of the sequence, we need to identify a pattern in the sequence so that we can find the 8th term and then use the formula for the sum of the first n terms of an arithmetic sequence.

Looking at the given sequence, we can see that each term is increasing by a certain amount. To find that amount, we can subtract consecutive terms:

6 - 4 = 2

9 - 6 = 3

So, the sequence has a common difference of 2 or 3. Since we have only three terms, it is not clear which of the two is the correct common difference. Therefore, we will assume both and calculate the sum for each.

If the common difference is 2, then the 8th term is:

\(a_{8}\) = \(a_{1}\) + 7d = 4 + 7(2) = 18

If the common difference is 3, then the 8th term is:

\(a_{8}\) = \(a_{1}\) + 7d = 4 + 7(3) = 25

Now, we can use the formula for the sum of the first n terms of an arithmetic sequence:

\(S_{n}\) = n/2(\(a_{1}\) + \(a_{n}\))

If the common difference is 2, then:

\(S_{8}\) = 8/2(4 + 18) = 88

If the common difference is 3, then:

\(S_{8}\) = 8/2(4 + 25) = 116

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Answer:

Option F

Step-by-step explanation:

F). x + y = 3 -------(1)

    x - 3y = -2 --------(2)

    Equation (1) minus equation (2)

    (x + y) - (x - 3y) = 3 - (-2)

    4y = 5

    y = 1.25

    Hence, y is positive.

G). x + y = 3 --------(1)

    x + y = -2 --------(2)

    Both the equations represent parallel lines.

    There are no solutions of the given equations.

H). x - 3y = -2 -------(1)

     x + y = -2 -------(2)

    Equation (2) minus equation (1)

    (x + y) - (x - 3y) = -2 - (-2)

     4y = 0

     y = 0

    Since, 0 is neither positive nor negative, y will be neither positive nor negative.

J). x + y = 3 -------(1)

    x - y = 3 --------(2)

    Equation (1) - Equation (2)

    (x + y) - (x - y) = 3 - 3

    2y = 0

    Hence, y is neither negative nor positive.  

    Therefore, Option F is the answer.

a. The candidate keys of R are AC.

b.The minimal cover of Σ is:

c. The decomposition can be as follows:

a) To find the candidate keys of relation schema R, we need to determine the minimal superkeys of R, i.e., the smallest set of attributes that uniquely identifies each tuple in R.

Given the set of functional dependencies (FDs) Σ:

C → BG

AE → F

CF → EA

A → DF

We can analyze the FDs to find the candidate keys:

Starting with C, we check if it is a superkey by examining the closure of C under Σ. The closure of C is {C, B, G}, which contains all attributes of R. Therefore, C is a superkey.

Moving on to A, we compute the closure of A under Σ. The closure of A is {A, D, F}, which does not contain all attributes of R. Therefore, A is not a superkey.

We combine A and C to form the candidate key AC, as both A and C are individually superkeys.

Therefore, the candidate keys of R are AC.

b) To find a minimal cover of the set of functional dependencies Σ, we need to simplify the dependencies and eliminate redundant or extraneous dependencies. The main steps for finding a minimal cover are as follows:

Eliminate redundant dependencies: For each dependency X → Y, check if Y is already included in the closure of X under the current set of dependencies. If it is, the dependency is redundant and can be removed.

Eliminate extraneous attributes: For each dependency X → Y, check if any attribute in X can be removed while preserving the functional dependency. If an attribute can be removed from X without affecting the closure, it is extraneous and can be eliminated.

Applying these steps to the set of FDs Σ:

C → BG

AE → F

CF → EA

A → DF

C → BG (No redundancy detected)

AE → F (No redundancy detected)

CF → EA (No redundancy detected)

A → DF (No redundancy detected)

Now, we check for extraneous attributes:

In CF → EA, we can remove attribute E from the left-hand side, as CF already determines E. The dependency becomes CF → A.

In A → DF, we can remove attribute D from the right-hand side, as A already determines F. The dependency becomes A → F.

The minimal cover of Σ is:

C → BG

AE → F

CF → A

A → F

c) To demonstrate why R, given Σ, does not satisfy 3NF (Third Normal Form) and identify a 3NF decomposition for R, we need to examine the functional dependencies and determine if any non-prime attribute is transitively dependent on a candidate key.

In R, the candidate keys are AC. Let's analyze the FDs:

C → BG

AE → F

CF → A

A → F

We can observe that the attribute B is transitively dependent on C through the dependency C → BG. Similarly, the attribute G is transitively dependent on C through the same dependency.

To achieve 3NF, we need to decompose R into smaller relations such that each relation only contains mutually independent attributes. The decomposition can be as follows:

R1(A, C, F)

R2(C, B, G)

R3(A, D)

R1 contains attributes A, C, and F, where A is the candidate key.

R2 contains attributes C, B, and G, where C is the candidate key.

R3 contains attributes A and D, where A is the candidate key.

This decomposition satisfies 3NF because each relation contains only mutually independent attributes, and no non-prime attribute is transitively dependent

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Answer:

M = 9

Step-by-step explanation:

the value of M is 9

Answer:

15/100*1800=15*1800/100=15*18=270

Step-by-step explanation:

1800-270=1530 therefore answer is 1530

The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling

The judgement sampling is a non probability that the researcher selects units to be sampled based on his own  knowledge and professional judgement. Here the probability is not a factor.

The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.

Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement

Therefore, the sampling method is judgement sampling

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The total number of different permutations of the set is 5040

The set of elements is given as

Set =  {a, b, c, d, e, f, g}.

The cardinality of the above set is

n = 7

So, the total number of different permutations of the set is

Permutation = n!

This gives

Permutation = 7!

Expand

Permutation = 7 * 6 * 5 * 4 * 3 * 2 * 1

Evaluate

Permutation = 5040

Hence, the total number of different permutations of the set is 5040

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Answer:

Friends

Step-by-step explanation:

Answer:

I not has what you not has. Does that answer your not has question?

Step-by-step explanation:

Answer: He would take 0.0833 hour  or 5 mins

Step-by-step explanation:

Given that Gerard ran a  6000 metres in 30 minutes, Speed becomes

Speed =distance / time

But time  to hours becomes  30/ 60=1/2=0.5hr

and meters to kilometres becomes 6000/1000=6 km

Speed =6/0.5 =12 km/h

Now if he runs 1 kilometre at same speed of 12 km/h . he will take

Time =distance/ Speed

Time =1/12=0.0833 hour  Changing to mins becomes 0.08333 x 60=5 mins

The missing values of x in the triangle are 66.8, 16.6, 10, 51.8

For A

Cos(x) = Adjacent / hypotenuse

Cos(58) = x/126

x = Cos(58) × 126

x = 66.8

For B :

Sin(x) = opposite/ hypotenuse

sin(x ) = 8/28

sin(x) = 0.2857

x = 16.6°

For C:

Tan(x) = opposite/ adjacent

Tan(x) = 6/34

Tan(x) = 0.176

x = 10°

For D:

sin(x) = opposite/ hypotenus

sin(18) = 16/x

x = 16/sin(18)

x = 51.8

Therefore, the missing values of x are 66.8, 16.6, 10, 51.8

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Answer:

The polygon has 9 sides (a regular nonagon).

Step-by-step explanation:

Angles in a Regular Polygon

A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that each angle (in a regular polygon) measures

\(\displaystyle \frac{180(n-2)}{n}\)

The regular polygon used by Dina for the logo is such that each interior angle measures 140°, thus:

\(\displaystyle \frac{180(n-2)}{n}=140\)

Multiply by n:

\(180(n-2)=140n\)

Operate:

\(180n-360=140n\)

Reducing:

\(40n=360\)

Solving:

n=9

The polygon has 9 sides (a regular nonagon).

A conditional effect refers to the relationship between variables within a specific condition or context. It is not a description of combined effects or a regression coefficient of just one variable.

Option c) "It is used to evaluate mean differences between two or more conditions or means" is the correct definition of a conditional effect. When evaluating the impact of a variable on an outcome, a conditional effect examines how the relationship between variables differs across different conditions or groups. It allows us to understand whether the effect of one variable depends on the level or presence of another variable.

For example, in a study examining the effect of a new teaching method on student performance, a conditional effect could be investigating whether the effectiveness of the method differs for students of different skill levels. By analyzing the conditional effects, we can identify if the relationship between the teaching method and performance varies depending on the students' skill level.

Therefore, the correct answer is option c) "It is used to evaluate mean differences between two or more conditions or means."

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Step-by-step explanation:

\(90 + 90 + 52 + x = 360 \\ x = 360 - 90 - 90 - 52 \\ x = 128\)

Or, if your money is earning a 5 percent interest rate, you'll double it in 14.4 years (72 divided by 5 equals 14.4). If your money is earning a measly 1 percent interest rate, it will take you—yep, you guessed it—a whopping 72 years to double it.

Answer:

-2

Step-by-step explanation:

-10 x 12 x -4 + 40 x -2 x 6 - 2

-120 x -4 - 80 x 6 - 2

480 - 480 - 2

0 - 2

-2

Influential scores, indicated by large residuals, have a significant impact on the regression line when removed from the data. These points, characterized by extreme x or y-values, can alter the slope and intercept of the regression line, emphasizing their importance in regression analysis.

The correct statements about influential scores are i and ii.

i. Influential scores have large residuals because they have a strong effect on the regression line. This means that if we remove an influential score from the data, it will significantly change the slope and intercept of the regression line.

ii. Removal of an influential score sharply affects the regression line because influential scores have a large impact on the regression line. If we remove an influential score, it will significantly change the slope and intercept of the regression line.

iii. This statement is not true. An x-value that is an outlier in the x-variable may be indicative of a point being influential, but a y-value that is an outlier in the y-variable can also be indicative of a point being influential.

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The number of driving lessons you need to take with a professional instructor before your parents can teach you varies depending on the regulations in your area. In some regions, a specific number of driving lessons is required by law before you can apply for your driver's license. As a result, you should check with your local Department of Motor Vehicles (DMV) or other regulatory agency to learn more about the specific requirements in your area.

In general, however, it is usually beneficial to take as many driving lessons as possible with a professional instructor. Professional driving instructors have been educated in how to teach driving skills safely and effectively. They have also assisted many other people in learning how to drive, and as a result, they have a wealth of knowledge and expertise to draw on.

The more driving lessons you take with a professional instructor, the more chances you'll have to learn and improve your driving abilities. You may be able to practice with your parents after only a few lessons, but it's generally a good idea to take as many as possible with an instructor before doing so. This will give you the best chance of success while you learn to drive safely and confidently.

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We need to determine the score a student must achieve to place in the top 5% of all students taking the SAT Verbal test with an N(\(515, 109\)) distribution, which came out to be \(695\) marks.

Identify the mean (μ) and standard deviation (σ) of the distribution: In this case, µ \(= 515\) and σ\(= 109\).

Determine the percentile rank: To place in the top \(5%\)% of students, we need to find the score corresponding to the \(95th\) percentile, as this represents the point where \(95\)% of students have a lower score.

Use a standard normal (Z) table or calculator to find the Z-score corresponding to the \(95th\) percentile: A Z-score represents the number of standard deviations a data point is from the mean.

For the \(95th\) percentile, the Z-score is approximate \(1.645\).

Apply the Z-score formula to find the required SAT score: \(X =\) µ \(+ Z*\) σ. In this case, \(X = 515 + (1.645 *109)\).Calculate the result: \(X = 515 + (1.645 *109)\)

\(=515 + 179.305 = 694.305\).

Round up to the nearest whole number: Since a student's SAT score must be a whole number, round up to \(695\). A student must score \(695\) or higher on the SAT Verbal test to place in the top \(5\)% of all students taking the test, given the N(\(515, 109\)) distribution.

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Answer:

77

Step-by-step explanation:

7x10 is 70 plus 7 is 77

Answer: To verify Mr Ngobeni's statement, we need to calculate his total deductions as a percentage of his net salary and compare it to 25%.

Let's assume Mr Ngobeni's net salary is R10,000.

If his deductions are R2,000, then his total deductions as a percentage of his net salary is:

(2000/10000) x 100% = 20%

Since 20% is less than 25%, Mr Ngobeni's statement is valid.

If his deductions were higher, say R3,000, then his total deductions as a percentage of his net salary would be:

(3000/10000) x 100% = 30%

Since 30% is greater than 25%, Mr Ngobeni's statement would not be valid in this case.

Answer:

1.5

Step-by-step explanation:

3/2

Let x₁ ... xₙ be in observations.

b) The sufficient statistic is either the sum of xi or, equivalently, x-bar.

c) The sufficient statistic is the sum of e⁻ˣ i (ths sum of xi term does not include theta)

Given that,

Let x₁ ... xₙ be in observations.

We have to find a complete sufficient statistic

(b) f(x; theta) = (In theta) theta x / theta - 1, 0 < x < 1, theta > 1

(c) f(x; theta) = e-(x-0) exp(-e-(x-0)), - infinity < x < infinity, -infinity < theta < infinity

b)  The log-likelihood is n ln(ln theta)) - (the sum of x i) ln(theta) - n ln(theta - 1)

Note that the only term that includes both the xi and theta is( the sum of xi) ln(theta)

Therefore, the sufficient statistic is either the sum of xi or, equivalently, x-bar

c) The log-likelihood is the sum of (xi - theta) - the sum of -e^(-(x i -theta)) =the sum of xi - the sum of theta -  the sum of -e^(-(x i -theta)) =the sum of xi - the sum of theta  -e^theta ×the sum of e⁻ˣ i

Therefore, the sufficient statistic is the sum of e⁻ˣ i (ths sum of xi term does not include theta)

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Answer:

35 red marbles

Step-by-step explanation:

since probability for red marbles is 5/8

and they are 56 marbles in the bag

so it will be 5/8 × 56

= 35

so the bag is likely to have 35 red marbles