For every 2 books that Tom buys, he can buy 3 magazines. If he pays $60 fo 4 books and 4 magazines, how much does he have to pay for each book?​

Answer:

\(s = \sqrt{38} - 3 \: \: - \sqrt{38} - 3 = 3.16 \: \: - 9.16\)

Step-by-step explanation:

\(1. \: a = 1 \\ b = 6 \\ c = - 29 \\ 2. \: s {}^{2} + 6s - 9 - 9 - 29 \\ 3. \: (s + 3) {}^{2} - 9 - 29 \\ 4. \: (s + 3) {}^{2} - 38 \\ 5. \: (s + 3) {}^{2} - 38 = 0 \\ 6. \: (s + 3) {}^{2} = 38 \\ 7. \: s + 3 + - \sqrt{38} \\ 8. \: s + 3 = \sqrt{38} \\ 9. \: s = \sqrt{38} - 3 \\ 10. \: s = - \sqrt{38} - 3 \\ 11. \: s = \sqrt{38 - 3 \: - \sqrt{38} } - 3 = 3.16 \: - 9.16\)

The probability that both tosses were tails given that at least one of the tosses was a tail is 1/4.

Let's name the event of obtaining at least one tail as "A" and the occurrence of getting two tails as "B". P(B|A) is the probability of receiving two tails given that at least one tail has occured.

Using the conditional probability formula, we can write:

P(B|A) = P(B and A) divided by P (A)

P(B and A) now represents the probability of receiving both two tails and at least one tail, which is the same as the chance of having two tails. Because the coin is fair, the chance of receiving two tails is one-quarter.

P(B and A) = 1/4 P(B)

To calculate P(A), we must evaluate all conceivable outcomes that result in at least one tail. These are "ht," "th," and "tt".

P(A) = P(ht) + P(th) + P(tt) = half + half + quarter = one

Finally, we can plug these numbers into our conditional probability formula:

P(B|A) equals P(B and A) / P(A) = 1/4 / 1 = 1/4

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Answer:

b

Step-by-step explanation:

as 2.5 × 10-^5 is 250000 and b is 3100 and if you do 10-5 + 10-3 it is 10-8 which will give u 0.0008cm I think if my calculations r correct

Answer:

a

Step-by-step explanation:

just did it and got right

The given expression is 7^-2

- 2 is the exponent in this case

recall this rule of exponents,

Answer: They should eliminate Brand C

Step-by-step explanation:

You need to divide the total returns by the total sold to which Brand has the greatest percentage returned.

The brand that the store should eliminate out of the 4 given brands using the data in the table is; Brand C

To find the brand that the store should eliminate we need to find the percentage of sold items that were returned and pick the highest percentage as the brand the store should eliminate.

Brand A percentage = \(\frac{33}{685}\) × 100 = 4.81%

Brand B percentage = \(\frac{15}{492}\) × 100= 3.04%

Brand C percentage = \(\frac{29}{361}\) × 100 = 8.03 %

Brand D percentage = \(\frac{31}{766}\) × 100 = 4.04%

Brand C has the highest percentage and as such it is the brand that should be eliminated.

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Answer:

4/6 is more than 5/12

Step-by-step explanation:

First, set the denominators of the fractions equal to eachother to make it easier to compare.  mulitiply 6 and 4 by 2 so that the denominator now equals 12, and you have the new fractions 5/12 and 8/12.  Since 8/12 is more than 5/12, 4/6 is more than 5/12.  

Answer:

5/12 is greater than 4/6

Step-by-step explanation:

using the butterfly method, multiplying 12 x 4 = 48

and 6x5=30  48 is more than  30

48 Stands for 5/12

30 stands for 4/6

Answer:

Plant cells have a plasma membrane, chloroplasts, plasmodesmata, and plastids used for storage, and an oversized central bodily cavity, whereas animal cells don't.

Answer:

\((x+3)^{2} + 1\)

Step-by-step explanation:

Step1: First break "10" into 9 + 1

Arrange the given expression according to the formula;

\(\\Step 2: (a+b)^{2} = a^{2}+2ab+b^{2}\)

\(x^{2} + 2 (x)(3) + (3)^{2} + 1\)

\((x + 3)^{2} + 1\)

Answer:

a) (x + 3)^2 + 1

we know that ( x + a )^2 = x^2 + 2ax + a^2

so just need to think whats number will be 6 after times 2

until here we can get (x + 3)^2

expand it you can only get x^2 + 6x + 9

so +1 to make it become 10

this is my method as I think it's fast to get the answer if you don't get it you may just follow completing the square formula

b) ( -3 , 1 )

you can just get it after you completing the square

The vertices are given as D(-8,4), E(-2,2), and F(-5,9).

Consider that area of the traingle is given by,

Then the area of triangle DEF is given by,

Simplify the terms further as,

Thus, the area of the triangle is 18 square units.

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Part A: The measures of center in Mountain View School, mean = 4.75, median = 4.5 and Bay Side School, mean = 5.5, median = 4.5

Part B: The measures of variability: Mountain View School, Range= 9 IQR= 4,  Bay Side School, Range= 10 IQR= 3

Part C: Bay Side School would be the better choice.

Part A: Measures of Center

To calculate the measures of center, we will determine the mean and median for each school.

Mountain View School:

Mean = (0 + 5 + 6 + 8 + 9 + 8 + 2 + 0) / 8 = 38 / 8 = 4.75

Median = (4 + 5) / 2 = 4.5

Bay Side School:

Mean = (10 + 2 + 4 + 5 + 6 + 8 + 8 + 7 + 6 + 5 + 5 + 4 + 4 + 3 + 1 + 0) / 16 = 88 / 16 = 5.5

Median = (4 + 5) / 2 = 4.5

Part B: Measures of Variability

To calculate the measures of variability, we will determine the range and interquartile range (IQR) for each school.

Mountain View School:

Range = 9 - 0 = 9

IQR = (6 - 2) = 4

Bay Side School:

Range = 10 - 0 = 10

IQR = (6 - 3) = 3

Part C: Choice based on Class Size

If you are interested in a larger class size, Bay Side School would be the better choice. The mean class size at Bay Side School is 5.5, while at Mountain View School it is 4.75. The range of class sizes at Bay Side School is also larger (10) compared to Mountain View School (9). This indicates that there is a greater variation in class sizes at Bay Side School, providing a higher likelihood of finding larger class sizes. However, it's important to consider other factors such as teaching quality, resources, and overall educational environment before making a final decision.

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Answer:

I know Dave's one is 13.04$ Just to get you started.

Step-by-step explanation:

If you divide Dave's one, which is 67 by 5, you get 13.05.

Do the same with Joyce's.

Answer:

In mathematics, a linear equation is an equation that may be put in the form are the coefficients, which are often real numbers.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!!!

Answer:

  about -4.7622

Step-by-step explanation:

You want the cube root of -108.

Your calculator will tell you the cube root of -108 is about -4.7622.

__

Additional comment

Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.

The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...

  ∛-108 = -3∛4

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Answer:

  m = 20

Step-by-step explanation:

You want the value of m when (4m +10)° represents an angle of 90°.

The perpendicular bisector XZ intersects segment WY at right angles. The measure of a right angle is 90°, so we have ...

  (4m +10)° = 90°

Dividing by ° and subtracting 10 gives ...

  4m +10 = 90

  4m = 80

  m = 20 . . . . . . divide by 4

The value of m is 20.

<95141404393>

The total money spent on a pass and lunch for each student is $850.14.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

here,

As mentioned in the question, Passes for 28 pupils and 4 teachers cost the school $778.88 and the school also spends $241.64 on lunch for kids only.

Total number of person  = 28 + 4
                                     = 32
Cost per pass = 778.88 / 32
                     = $24.34
Total passes of students = 25 × 24.34 = 608.5
Total spend on lunch of student = 241.64
Total spend on lunch = 241.64 + 608.5 = $850.14

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Answer:

I assume you mean pi (π) squared, which is π^2. Calculating with π^2 is similar to calculating with any other number, except that you use π^2 instead of a regular number. Here are a few examples:

Example 1: Find the circumference of a circle with radius 5π.

The formula for the circumference of a circle is C = 2πr, where r is the radius. Substituting 5π for r, we get:

C = 2π(5π) = 10π^2

Therefore, the circumference of the circle is 10π^2.

Example 2: Find the area of a circle with diameter 3π.

The formula for the area of a circle is A = πr^2, where r is the radius. Since the diameter is 3 times the radius, we have:

r = (1/2)(3π) = (3/2)π

Substituting this into the formula, we get:

A = π((3/2)π)^2 = (9/4)π^3

Therefore, the area of the circle is (9/4)π^3.

In general, whenever you see π^2 in a formula, you can just substitute it for the regular number. Keep in mind that π is an irrational number (it goes on forever without repeating), so you may need to use an approximation like 3.14 or 22/7 depending on the level of accuracy required in your calculations.

Step-by-step explanation:

explanation included above with examples.

The correct expression is  \($(150 \cdot 1.15)^7$\) (Choice A).

The problem states that the painting's value increases by a factor of 1.15 each year. This means that the value at the end of each year is 1.15 times the value at the beginning of the year. Therefore, after one year, the value of the painting is\($150 \cdot 1.15 = 172.50$\).

To find the value after 7 years, we need to multiply the value of the painting each year by 1.15 a total of 7 times. This can be represented mathematically as \($(150 \cdot 1.15)^7$\). This expression is equal to the starting value of the painting, 150, multiplied by 1.15$ raised to the 7th power, which represents the 7 years of appreciation.

If we were to choose expression B, it would give an incorrect result because it uses a value of 1.1 instead of 1.15 to represent the yearly increase in value.

Expressions C and D are also incorrect because they are not taking into account the compounding effect of the yearly increase. Expression C adds the initial value and the total years together, and expression D adds the initial value to the yearly increase multiplied by 7, neither of which correctly reflects the exponential growth of the painting's value.

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The solution for the exponential equation in this problem is given as follows:

\(z = 1.5\log_{10}{15}\)

The approximate solution is given as follows:

z = 1.76.

The exponential equation in the context of this problem is defined as follows:

\(10^{\frac{2z}{3}} = 15\)

The logarithm of base 10 is the inverse function of the power of 10, hence we can isolate z as follows:

\(\frac{2z}{3} = \log_{10}{15}\)

\(z = \frac{3\log_{10}{15}}{2}\)

\(z = 1.5\log_{10}{15}\)

z = 1.76.

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The perimeter of the enlarged playground is 24.36 meters, and the increase in area is 16.9 m²

An area is the amount of space occupied by a two dimensional shape or object. The area of a rectangle is:

Area = length * width

Given that length = 5.5 m, width = 3.2 m

Hence:

Area = 5.5 * 3.2 = 17.6 m²

Perimeter = 2(length + width) = 2(5.5 + 3.2) = 17.4 m

There is an increase in both the length and the width of the playground by 40% each. Hence:

New length = 1.4 * 5.5 = 7.7 m, new width = 1.4 * 3.2 = 4.48 m

Area = 7.7 * 4.48 = 34.5 m²

Perimeter = 2(length + width) = 2(7.7 + 4.48) = 24.36 m

Increase in area = 34.5 m² - 17.6 m² = 16.9 m²

The perimeter of the enlarged playground is 24.36 meters, and the increase in area is 16.9 m²

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Answer:

The possible number of CDs she could buy is 1, 2, and 3.

Step-by-step explanation:

First, you have to make an equation to solve to find the answer(s):

1.) 80 - (18 · 1) ≥ 20

80 - 18 · 1 ≥ 20

80 - 18 ≥ 20

62 ≥ 20

Since 62 ≥ 20 is always true, there are infinitely many solutions.

2.) 80 - (18 · 2) ≥ 20

80 - 18 · 2 ≥ 20

80 - 36 ≥ 20

44 ≥ 20

Since 44 ≥ 20 is always true, there are infinitely many solutions.

3.) 80 - (18 · 3) ≥ 20

80 - 18 · 3 ≥ 20

80 - 54 ≥ 20

26 ≥ 20

Since 26 ≥ 20 is always true, there are infinitely many solutions.

4.) 80 - (18 · 4) ≥ 20

80 - 18 · 4 ≥ 20

80 - 72 ≥ 20

8 ≥ 20

Since 8 ≥ 20 is false, there is no solution.

5.) 80 - (18 · 5) ≥ 20

80 - 18 · 5 ≥ 20

80 - 90 ≥ 20

- 10 ≥ 20

Since - 10 ≥ 20 is false, there is no solution.

Answer:

1,2,3

Step-by-step explanation:

In the arrangement of letters and numericals, the total number of different paths can one spell AMC8 are 24 in count.

A basic counting principle is that if there are p ways to do one thing and q ways to do another, then there are p × q ways to do both. Possible results of experiments. The counting principle can be extended to situations where there are two or more alternatives.

We have, the arrangement of letters and numericals in above figure such that

There are three different kinds of paths that are on the above diagram to get the required pattern. The first kind is when you directly count A, M, C in a straight line. The second is when you count A, turn left or right to get M, then go up or down to count 8 and C. The third is the one where you start with A, move up or down to count M, turn left or right to count C, then move straight again to get 8.

There are 8 paths for each kind of path, making for 8×3= 24 paths.

Hence, the required paths are 24 in count.

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Answer:

b = 30 yd is the answer.

Step-by-step explanation:

a = 40 yd

b = ?

c = 50 yd

According to the Pythagoras theorem,

a² + b² = c²

40² + b² = 50²

1600 + b² = 2500

b² = 2500 - 1600

b² = 900

b = 30 yd

∴ b = 30 yd is the length of the missing leg.

Answer:

it simple as look

Step-by-step explanation:

He y I a m r a v I t ha n k S

Wowowowowowowowowk

The utility can be used to quantify and compare preferences in decision-making scenarios where performance is not measured by monetary value.

The utility can be used as a measure of preference or satisfaction in decision-making situations where performance is not directly measured by monetary value. Utility refers to the subjective value or desirability that an individual assigns to different outcomes or options.

In such cases, utility can be quantified using a utility function, which maps the outcomes or attributes of the decision problem to a numerical representation of the individual's preferences. This function allows for the comparison and evaluation of different options based on their utility values.

For example, consider a decision involving healthcare treatments. The performance of different treatments may not be easily measured in monetary terms, but individuals may have preferences based on factors such as effectiveness, side effects, or quality of life impact.

Utility can be used to capture these preferences and make a decision that maximizes the overall satisfaction or well-being of the individual.

To use utility in decision-making, it is necessary to understand and quantify individual preferences through techniques like surveys, interviews, or experimental methods. By assigning utility values to different outcomes or attributes, decision-makers can then compare options and select the one that maximizes utility.

However, it's important to note that utility is subjective and varies among individuals. Different people may have different utility functions and weigh attributes differently. Therefore, utility-based decision-making requires taking into account the preferences of the specific individual or group involved.

In summary, utility can be employed in decision-making scenarios where performance is not directly measured in monetary terms. It quantifies subjective preferences and allows for the comparison and selection of options based on the utility values assigned to different outcomes or attributes.

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Answer:

112 pages

Step-by-step explanation:

Setup a ratio of 5/8 to 70/x and use the butterfly method to solve the equation and get 112. (I know I'm late)

Answer:

B.(0.4,0.7)

Step-by-step explanation:

We are given that

Sample proportion

\(\hat{p}=0.55\)

We have to find the range of possible values which   describes best  an estimate for the population parameter.

Estimate  for the population parameter

\(\hat{p}\pm Z(SE)\)

A.(0.55,0.6)

Difference between 0.55 and 0.55=0

Difference between 0.55 and 0.6=0.05

Difference between 0.55 and 0.55 is not equal to difference between 0.55 and 0.6.

Hence, option A is wrong.

B.(0.4,0.7)

Difference between 0.55 and 0.4=0.15

Difference between 0.55 and 0.7=0.15

Difference between 0.55 and 0.4 is equal to difference between 0.55 and 0.7.

Hence, option B is correct.

C. (0.4,0.69)

Difference between 0.55 and 0.4=0.15

Difference between 0.55 and 0.69=0.14

Difference between 0.55 and 0.4 is not equal to difference between 0.55 and 0.69.

Hence, option C is not correct.

D.(0.5,0.59)

Difference between 0.55 and 0.5=0.05

Difference between 0.55 and 0.59=0.04

Difference between 0.55 and 0.5 is not equal to difference between 0.55 and 0.59.

Hence, option D is not  correct.

Answer:

3 triangles can be make with 60,60,60 degrees.