The library is having a book sale. Hardcover books sell for $4 each, and paperback books are $2 each. If Ayanna spends $26 for 8 books, how many hardcover books did she buy?
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The mean score is approximately 69.21.

To find the mean score, we need to follow these steps:

We start by adding up all the scores given:

71 + 67 + 67 + 72 + 76 + 72 + 73 + 68 + 72 + 72 + 72 + 67 + 71 + 68

We have a total of 14 scores in the given list.

Next, we divide the sum obtained in Step 1 by the total number of scores (Step 2):

(71 + 67 + 67 + 72 + 76 + 72 + 73 + 68 + 72 + 72 + 72 + 67 + 71 + 68) / 14

Now we perform the addition in the numerator:

= 969 / 14

Finally, we divide the numerator (969) by the denominator (14):

Mean score = 969 / 14 ≈ 69.21

Therefore, the mean score of the top ten finishers in the golf tournament is approximately 69.21.

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Complete Question:

The scores of the top ten finishers in a recent golf tournament are listed below. Find the mean score.

71, 67, 67, 72, 76, 72, 73, 68, 72, 72, 72, 67, 71, and 68

Answer:

\( \huge x = \frac{1}{2} \\ \)

Step-by-step explanation:

\(8x+2+3x +5=x+12\)

Simplify the terms on the left side of the equation

\(11x + 7 = x + 12\)

Move x to the left side of the equation

\(11x - x + 7 = 12 \\ 10x + 7 = 12\)

Move 7 to the right side of the equation

\(10x = 12 - 7 \\ 10x = 5\)

Divide both sides by 10

\( \frac{10x}{10} = \frac{5}{10} \\ \)

We have the final answer as

\(x = \frac{1}{2} \\ \)

Hope this helps you

Answer:

x=1/2

Step-by-step explanation:

Hope this helps.

11x+7=1x+12

11x+7=x+13

11x+7-7=x+12-7

11x=x+5

11x-x=x+5-x

10x=5

5/10

1/2

Answer:

About 57.14285714, or 57 1/7 (400/7)

Step-by-step explanation:

Suppose the answer is x. This would mean that x multiplied by 0.56 (56%) would equal 32. To isolate x, you would have to divide both sides by 0.56, making the answer 32/0.56, or About 57 and 1/7

Answer:

our width is 9 and our length is 14

Step-by-step explanation:

Answer:

The first one is 2, the second one is 7/8.

Step-by-step explanation:

You can do self-checking.

Answer:

32^⅕ = 2

49/64^½ = ⅞

just use calculator ☺️

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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At least 5 expected observations in each cell in order to apply the chi-square test of independence, we prefer to have at least 5 expected observations in each cell. The correct answer is c.

The chi-square test of independence is a statistical method used to determine whether two categorical variables are independent or associated with each other.

To apply this test, it is preferred to have at least 5 expected observations in each cell of the contingency table. The expected frequency is calculated based on the assumption of independence between the two variables.

If the expected frequency is less than 5 in any cell, the chi-square test may not be valid and alternative methods, such as Fisher's exact test, should be considered. Having a sufficient sample size can also improve the accuracy and reliability of the test results.

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There are a total of 15 possible options of ice cream for a double scoop, and the order does not matter.

Total A: 400 possible options of ice cream

Assumptions made:

Customers who buy two scoops choose different ice cream flavors.

The order of the ice cream matters as scoops are on top of each other.

Supporting calculations:

Customers can choose from 5 different flavors for a single scoop.

Hence, for a single scoop, there are 5 choices. Customers can choose from 5 different flavors for the second scoop. Hence, for the second scoop, there are 5 choices.

Therefore, for customers who buy two scoops, the number of options is 5 × 5 = 25.

Hence, there are a total of 25 different ways of buying two scoops of ice cream from Incredible Ice Cream.

Total A considers the cases in which customers buy one or two scoops.

Hence, 25 different ways of buying two scoops plus the 5 ways of buying one scoop gives a total of 30 possible options of ice cream.

Hence, there are 400 possible options of ice cream as each of the 30 different ways of buying ice cream can be purchased in a sugar cone, waffle cone or cup.

Assumptions made:

Customers can choose from 5 different flavors for a double scoop, so there are 5 choices.

The order does not matter, so we can count the cases when the two scoops are of different flavors separately from the cases when the two scoops are the same flavor.

Supporting calculations:To count the number of different double-scoop options, we have to consider two cases: the double scoop is of the same flavor, or the double scoop is of different flavors. Customers can choose from 5 different flavors for a double scoop.

So there are 5 choices.The cases where both scoops have the same flavor: There are 5 different ways to choose the flavor of the double scoop. Therefore, there are 5 different ways to buy a double scoop with the same flavor. The cases where both scoops have different flavors: We need to count the number of combinations of 2 items selected from 5 items (where the order does not matter).

This is 5C2. Hence, there are 10 different ways to buy a double scoop with different flavors.

Therefore, the total number of possible options for a double scoop is:

Total B: 5 + 10 = 15 possible options of ice cream.

There are a total of 15 possible options of ice cream for a double scoop, and the order does not matter.

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Answer:

ITS B the second one, 3/2 x 8=12

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

1*5 is 5 and 4 minus 5 is -1 hope this helped :)

Answer:

One.

Step-by-step explanation:

Answer:

A. One

Step-by-step explanation:

on edg

Answer: $2,393.42

Step-by-step explanation:

I suppose that the salary is yearly.

So in one year, 365 days, the net pay would be $62,400.

Now, "by-weekly" refers to two weeks or 14 days.

If she gets paid $62,400 in 365 days.

Then in 14 she gets paid.

N = (14/365)*$62,400 = $2,393.42

Step-by-step explanation:

5.

\(y = \frac{2}{3} x - 1\)

6.

\(y = - x + 8\)

7.

given two points

(-4,2) and (0,-4)

slope is (-4-2)÷(0-(-4))=-6÷4=-1.5

\(y = - 1.5x - 4\)

8.

given two points

(0,0) and (5,0)

slope is 5

\(y = 5x\)

9.

\(2x + 8y = 16 \\ x + 4y = 8 \\ 4y = - x + 8 \\ y = - \frac{1}{4} x + 2\)

10.

\(3x - y = 5 \\ y = 3x - 5\)

The graph of g(x) = f(-5x+10) is given in the figure.

A diagram showing the relation between two variable quantities,each measured along one of a pair of axes at right angles.

It is given that f(x) = x^2

and g(x ) = f(-5x+10)

Now putting the value of f(x) in g(x) we get,

g(x)  = f(-5x+10)  = (-5x+10)^2

So, g(x) = (-5x+10)^2

now, making the table for g(x),

x g(x)

0 100

1 81

2 0

3 25

4 100

5 225

Hence,the graph of g(x) = f(-5x+10) is given in the figure.

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The probability distribution of the random variable X, which represents the number of spots that turn up when a balanced die is rolled, is a discrete uniform distribution.

This means that each possible outcome has an equal probability of occurring, and the probabilities are evenly distributed across the different values of X.

In a balanced die, there are six possible outcomes, corresponding to the numbers 1 through 6. Since each outcome is equally likely, the probability of each individual outcome is 1/6. Therefore, the probability distribution of X can be represented as follows:

P(X = 1) = 1/6

P(X = 2) = 1/6

P(X = 3) = 1/6

P(X = 4) = 1/6

P(X = 5) = 1/6

P(X = 6) = 1/6

In summary, the probability distribution of the random variable X, representing the number of spots that turn up when rolling a balanced die, follows a discrete uniform distribution, where each possible outcome has an equal probability of occurring, with a probability of 1/6 for each value from 1 to 6.

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The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Answer:

6x

Step-by-step explanation:

7x-x = x ( 7-1) = 6x

Answer:

6 x

Step-by-step explanation:

Subtract  x  from  7 x .

Answer:

x = y/a + b/a

? is that what you meant

Step-by-step explanation:

Answer:

the answer is d) x = y/a+ b/a

Step-by-step explanation:

brainliest pleasee

Answer:

Yes, it matters which way you subtract values because if you subtract a larger number from a smaller number you will get a negative nummber, but when you subtract the smaller number from the bigger number you get a positive number

ex: 5-6= -1 but 6-5=1

Step-by-step explanation:

The L1 norm of vector A is greater than or equal to the L1 norm of vector B.

Basically, if the L2 norm of vector A is greater than the L2 norm of vector B, it is indeed always true that the L1 norm of vector A is greater than or equal to the L1 norm of vector B. The Lp norm is defined as follows:

\(||x||_p = (|x_1|^p + |x_2|^p + ... + |x_n|^p)^(1/p),\)

where x = [x₁, x₂, ..., xₙ] is a vector.

For the L2 norm (p = 2), the formula is:

\(||x||_2 = \sqrt(|x_1|^2 + |x_2|^2 + ... + |x_n|^2).\)

For the L1 norm (p = 1), the formula is:

\(||x||₁ = |x_1| + |x_2| + ... + |x_n|.\)

If ||A||₂ > ||B||₂, it implies that:

\(\sqrt(|A_1|^2 + |A_2|^2 + ... + |A_n|^2) > \sqrt(|B_1|^2 + |B_2|^2 + ... + |B_n|^2).\)

Squaring both sides of the inequality, we get:

\(|A_1|^2 + |A_2|^2 + ... + |A_n|^2 > |B_1|^2 + |B_2|^2 + ... + |B_n|^2.\)

Since the squares of the magnitudes are positive, we can conclude that:

\(|A_1| + |A_2| + ... + |A_n| > |B_1| + |B_2| + ... + |B_n|.\)

Therefore, the L1 norm of vector A is greater than or equal to the L1 norm of vector B.

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Could you please provide the units

Answer: I believe it is 3

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

The lower base angles are congruent, so

4x + 41 = 85 ( subtract 41 from both sides )

4x = 44 ( divide both sides by 4 )

x = 11

The number of combinations with repetition that are allowed if n = 4 and r = 3 is given by: Option A: 20

The number of  k-element combinations of n objects, with repetition is:

\(\overline{C}_{n,k} = \: ^{n + k-1}C_{k} = \dfrac{(n+k-1)!}{k! \times (n-1)!}\)

For this case, we're given that:

Thus, we get:

\(\overline{C}_{n,k} = \dfrac{(n+k-1)!}{k! \times (n-1)!} = \dfrac{(4+3-1)!}{3! \times (4-1)!} \\\\\overline{C}_{n,k} = \dfrac{6!}{3!. 3!} = 20\)

Thus, the number of combinations with repetition that are allowed if n = 4 and r = 3 is given by: Option A: 20

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Step-by-step explanation:

LCM is lowest common factor and HCF is highest common factor.

Given numbers are 236 and 92.

We can find it using prime factorization method.

Prime factorization of 236 = 2 x 2 x 59

Prime factorization of 92 = 2 x 2 x 23

HCF = 2 x 2 = 4

LCM = 2 x 2 x 59 x 23 = 5428

We know that,

LCM×HCF = product of two numbers

⇒ LCM×HCF = 5428×4 = 21712

⇒ product of two numbers = 236× 92 = 21712

Hence, proved.

Answer:

40.4%

Explanation:

if n is the starting population of india in 1989,

1989 - 1999: the population increases by 20%. n × 120% = 1.2n

1999 - 2009: the population increases by another 17%. 1.2n × 117% = 1.404n

thus, the population increased from n to 1.404n, which is an increase of 0.404n.

0.404 = 40.4%. the percentage by which the population of india increased is 40.4%.

sorry, i'm not too sure if my answer is correct, but i hope this helps! :D

The percentage by which the population of India increased between 1989 and 2009 after increase of 20% between 1989 and 1999 and increase by 17% between 1999 and 2009 is 40.4%.

The population is the number of people living in a specific area like in town, city or a country.

Suppose the population of India after 1989 is 10 crore. So according to  question,

During 1989-1999 the population became 10 crore +10crore*20%=12 crore

During 1999-2009 the population became

=12 crore +12 crore*17%=14.04crore

The percentage by which the population of India increased between 1989 and 2009=( 14.04-10)*100/10

=4.04*100/10

=404/10

=40.4%

Hence the percentage by which the population of India increased between 1989 and 2009 is 40.4%.

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Answer:

43 1 ÷12

Step-by-step explanation:

The computation of the length of the original roll of papers is shown below:

36 1 ÷3 and 6 3 ÷ 4 together

Now convert the above fractions into a number

36 1 ÷ 3 = 109 ÷3

And,

6 3 ÷4 = 27 ÷ 4

Now add these two numbers i.e.

109 ÷3  + 27 ÷ 4

= 436 + 81 ÷ 12

= 517 ÷12

= 43 1 ÷12