what is 7 divided 384

Answer:

about 5 boxes

Step-by-step explanation:

2 *40/15 Please give brainliest

Answer:

Four hours and 40 minutes

Step-by-step explanation:

15 per  2 hours = 40/15=2.666666666667

Two thirds of an hour is 40 minutes

Answer:

12

Step-by-step explanation:

Given that :

Point X on number line 1 from 0= 2/3

Point Y on number line 2 from 0 = same distance as point X on number line

Point Y has a denominator of 8 ; the numerator is thus;°

Let denominator = d ; Fraction becomes 8/d

Thus `

Point X on 1 = point Y

2/3 = 8/ d

2d = 3 * 8

2d = 24

d = 12

The measures of the two complementary angles are 28 and 62 degrees

Complementary angles:

In math, the sum of two angles is equal to 90 degrees, they are called complementary angles.

Given,

Here the two angles are complementary if the sum of their measures is 90.

And we need to find the measures of two complementary angles if one angle is more than 6 times the other angle.

Let us consider A is the measure of the smaller angle and B is the measure of the larger angle.

Here we know that they are complementary 

=> A + B = 90

Here we also know that,

=> 2A + 6 = B

Now, we have to replace B in the first equation with the second equation, then we get,

=> A + 2A + 6 = 90

Now, solve for A:

=> 3A + 6 = 90

=> 3A = 84

Therefore, the value of A is 28

Then the value of B is,

=> 2(28) + 6 = 62

Therefore, the two angles that complementary are: 28 and 62 degrees

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Step-by-step explanation:

The slope of the given line is -3. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the line we need to find is 1/3.

Substituting into point slope form, we get:

y + 6 = ⅓(x+6)

Answer:

Y+6= 1/3(x-4)

explanation:

cause they add to each other

Answer:

The theoretical probability of obtaining letter 'r' at the 14th spin is:

1/8

Step-by-step explanation:

It is given that:

A spinner has 8 equal sectors with different letters for each sector.

The sectors are labeled b, y, g, p, o, v, m, and r.

Hamlet spins the spinner 13 times, and it stops at the letter r 9 times.

We are asked to find the theoretical probability that we will get  letter r at the 14th spin.

The theoretical Probability is given as the ratio of number of favorable outcomes to the total number of outcomes.

Hence, the theoretical probability of obtaining letter 'r' at the 14th spin is:

( As there are a total of 8 outcomes( or 8 sectors) out of which there is only one sector which is red)

Hope this helped

Answer: No real solutions.

The probability that exactly 9 buyers would prefer green is 0.1408

We will use the Binomial probability formula to find the answer

The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ-ˣ

We have

n, the number of trial = 12

x, the sample we aim to try = 9

p, the probability of success = 0.6

Substitute these values into the formula

\(P(9)= ^{12}C_{9} (0.6)^{9} (1-0.6)^{12-9}\)

P(9) = 0.1408 (rounded to four decimal places)

Hence, The probability that exactly 9 buyers would prefer green is 0.1408

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Answer:

A=15ft^2

Step-by-step explanation:

The formula for a triangle is A=1/2 base times height so you start by multiplying 6x5 then divide the answer by 2

The shift that  are found by the naive string matcher in searching for the pattern is in the text Mississippi are options (b) 1 and (e) 4

The naive string matcher is a simple algorithm for searching a pattern within a text. It works by comparing the pattern with all possible substrings of the text and returning the starting indices of the matches. The algorithm starts by aligning the first character of the pattern with the first character of the text and then checks if all the characters in the pattern match the corresponding characters in the text.

If a mismatch is found, the algorithm moves to the next starting position in the text and repeats the process. The algorithm continues until all possible starting positions in the text have been checked.

Assuming that the pattern being searched is "issi", the shifts found by the naïve string matcher in searching for the pattern in the text "Mississippi" are

shift of 1: "issi" matches at position 1 in the text "Mississippi"

shift of 4: "issi" matches at position 4 in the text "Mississippi"

Therefore, the correct options are (b) 1 and (e) 4

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Answer:

A.

Step-by-step explanation:

For square one, the dark part added up= 1/4 of the whole big square.

For square 2. the colored in part= 1/4 of the whole big square.

For square 3. The colored part = 1/4 of the whole big square.

Keep in mind that EACH OF THE SEGMENTS THAT INTERSECT THE SIDES OF THE SQUARES INTERSECT AT MIDPOINTS OF THE SIDES.

For number three, make sure to draw in what square two looks like. one line vertical, one horizontal.

THE ANSWER IS A THOUGH.

Answer:

b

Step-by-step explanation:

Opposite angles are equal in a parallelogram. Therefore 2 angles are 112°. Angles in a parallelogram or any quadrilateral are equal to 360°. To find the remaining sides: 360-(112×2) and divide your answer by 2.

To conduct a test of hypothesis with a small sample, we make an assumption that the population is normally distributed .

What is normal distribution?

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

The normal distribution appears as a "bell curve" on a graph.

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Answer:

I attached a pic of my work, its 100% correct.

Its a bit messy....

Answer:

Step-by-step explanation:

Members not using stepper or treadmill:

38% of 400 is:

Amount of interest after 2 years:

Total number of students in the poll is 150

Students choosing tacos and corn dogs:

24% in number:

Note. It says "how many more students" but its not applicable as there is nothing to compare. Consult this with your teacher.

Normal cost of television = $500

Reduced cost = $350

Cost reduction:

Percent reduction:

In this scenario, the number of winning tickets follows a binomial distribution, since each ticket has a fixed probability of winning (1/4) and the trials (purchasing a ticket) are independent.

The probability that k out of n trials will be successful is given by the binomial probability mass function:

P(k) = (n choose k) * p^k * (1-p)^(n-k)

Where n is the number of trials (100 tickets), k is the number of successful trials (winning tickets), p is the probability of success (1/4), and (n choose k) is the binomial coefficient.

To find the probability that fewer than 20 tickets are winners we have to calculate the probability of getting 0 to 19 winning tickets.

P(x<20) = P(0) + P(1) + P(2) +...+ P(19)

using the above formula we can find the probability of getting k winning tickets

P(x<20) = P(0) + P(1) + P(2) +...+ P(19)

= (100 choose 0) * (1/4)^0 * (3/4)^100 + (100 choose 1) * (1/4)^1 * (3/4)^99 +.... + (100 choose 19) * (1/4)^19 * (3/4)^81

This can be calculated using a calculator or spreadsheet software, however, it's not possible for me to provide you with the exact answer as it involves multiple complex calculations.

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The total surface area of the trapezoidal prism is S = 3,296 inches²

Given data ,

Let the total surface area of the trapezoidal prism is S

Now , the measures of the sides of the prism are

Side a = 10 inches

Side b = 32 inches

Side c = 10 inches

Side d = 20 inches

Length l = 40 inches

Height h = 8 inches

Lateral area of prism L = l ( a + b + c + d )

L = 40 ( 10 + 32 + 10 + 20 )

L = 2,880 inches²

Surface area S = h ( b + d ) + L

On simplifying the equation , we get

S = 2,880 inches² + 8 ( 52 )

S = 3,296 inches²

Hence , the surface area of prism is S = 3,296 inches²

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The valid reasons to use a sample instead of evaluating a much larger population are contacting the whole population would be only marginally more accurate than a sample. A sample can be chosen to validate a specific idea about the population.

Contacting the entire population would be time consuming.
1. Contacting the whole population would be only marginally more accurate than a sample: This is a valid reason because a well-designed sample can often provide an accurate estimate of the population, while using significantly fewer resources.
2. Sampling is a random process, and therefore more accurate than measuring the whole population: This statement is incorrect. A random sample can provide an unbiased estimate, but it is not necessarily more accurate than measuring the entire population.
3. A sample can be chosen to validate a specific idea about the population: This is a valid reason because sampling can be used to test hypotheses or ideas about the population without having to evaluate every member of the population.
4. Contacting the entire population would be time-consuming: This is a valid reason because sampling can save time and resources compared to attempting to gather data from every individual in a population.

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a.The velocity function is: v = ds/dt = (2/5)t^(5/2) - 6t^(1/2) + 16.

b. The position function is: s = (4/35)t^(7/2) - 8t^(3/2) + 16t - 12.

a. To find the velocity, we need to integrate the acceleration function. We get:

v = ds/dt = ∫a dt = ∫(15√t - 3/t^(1/2)) dt

Integrating the first term, we get (2/5)t^(5/2), and integrating the second term, we get -6t^(1/2) + C. Thus, the velocity function is:

v = ds/dt = (2/5)t^(5/2) - 6t^(1/2) + C

We can find the constant C using the initial condition that ds/dt = 4 when t = 1. Substituting these values into the equation, we get:

4 = (2/5)(1)^(5/2) - 6(1)^(1/2) + C

C = 4 + 12 = 16

Therefore, the velocity function is:

v = ds/dt = (2/5)t^(5/2) - 6t^(1/2) + 16

b. To find the position function, we need to integrate the velocity function. We get:

s = ∫v dt = ∫((2/5)t^(5/2) - 6t^(1/2) + 16) dt

Integrating the first term, we get (4/35)t^(7/2), integrating the second term, we get -8t^(3/2), and integrating the third term, we get 16t. Thus, the position function is:

s = ∫v dt = (4/35)t^(7/2) - 8t^(3/2) + 16t + C2

We can find the constant C2 using the initial condition that s = 0 when t = 1. Substituting these values into the equation, we get:

0 = (4/35)(1)^(7/2) - 8(1)^(3/2) + 16(1) + C2

C2 = -12

Therefore, the position function is:

s = (4/35)t^(7/2) - 8t^(3/2) + 16t - 12

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There were 100 adult tickets sold.

When solving a system of equations with two unknowns, one of the techniques to find the unknown values is the substitution method. In this method, one equation is substituted to the other equation to achieve a final equation that contains only one of the unknowns. The value remaining unknown can be derived directly from the final equation. By substituting the first value to one of the original equations, the other unknown may be derived.

Let A be the number of adult tickets sold and S be the number of student tickets sold.

The total tickets sold is 275.

A + S = 275_________(Eq. 1)

Also, the total sales is $1025.

5A + 3S = 1,025_______(Eq. 2)

From the Equation 1

S = 275 - A     [Subtract A from both sides]

Using this value of S, substitute S in the second equation.

5A + 3(275 - A) = 1,025

5A + 825 - 3A = 1,025

2A = 200 [Subtract both sides 825]

A = 100   [Divide both sides by 2]

Hence, There were 100 adult tickets sold.

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It's B.

You can think of the action of multiplying matrix A onto any other matrix X as

• preserving the first row of X due to the +1 in the first column of the first row,

• negating the second row of X due to the -1 in the second column of the second row, and

• preserving the third row of X due to the +1 in the third column of the third row.

Answer: B.

Step-by-step explanation: I got this right on Edmentum.

The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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Answer:

4 lbs

Step-by-step explanation:

1/4 x 4 =1

1/2 x 2= 1

3/8 + 3/8 + 5/8 + 5/8 =16/8

16/8 =2

1+1+2=4

a) To achieve $200,000, they would have to deposit approximately $49,274.55 now.

b) To achieve $200,000, they would need a constant money stream of approximately $3,665.67 per year.

a) To find the lump sum they would have to deposit now at 5.6% compounded continuously to achieve $200,000, we can use the formula for continuous compound interest:

\(A = P * e^{rt}\)

where A is the accumulated future value, P is the principal (lump sum deposit), r is the interest rate, and t is the time in years.

In this case, we have A = $200,000, r = 5.6% = 0.056, and t = 25 years. We need to solve for P.

\(200,000 = P * e^{0.056 * 25}\\P = 200,000 / e^{0.056 * 25}\\P ≈ 200,000 / e^{1.4} = 200,000 / 4.0552 = $49,274.55\)

Therefore, they would have to deposit approximately $49,274.55 now to achieve $200,000 on William's 25th birthday.

b) To find the constant money stream R(t) per year, we can use the formula for the accumulated future value of a continuous money stream:

\(A = R * (e^{rt} - 1) / r\)

In this case, we have A = $200,000, r = 5.6% = 0.056, and we need to solve for R(t).

\(200,000 = R * (e^{0.056 * 25} - 1) / 0.056\\0.056 * 200,000 = R * (e^{0.056 * 25} - 1)\\11,200 = R * (e^{1.4} - 1)\\R = 11,200 / (e^{1.4} - 1) = 11,200 / 3.0552 = $3,665.67\)

Therefore, they would need a constant money stream of approximately $3,665.67 per year to achieve $200,000 in accumulated future value, assuming an interest rate of 5.6% compounded continuously.

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Answer:

6566

Step-by-step explanation:

Answer:

6566

Step-by-step explanation:

Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.

In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.

Here,

The following algorithm must be used to determine the mean age:

=> mean = (all years added together) / (total number of persons)

The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

According to the information provided, there are 460 people in total.

=> mean = 17745.25 / 460

=> mean = 17745.25 / 460

As a result, the average lifespan is roughly 38.552 years.

The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.

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The associated direct utility function for the indirect utility function v(P1, P2) = -a * log(P1) - b * log(P2) is given by u(X1, X2) = X1^a * X2^b, where X1 and X2 are the quantities consumed of goods 1 and 2, respectively, and a and b are parameters representing the consumer's preferences.

The direct utility function represents the consumer's preferences and measures the level of satisfaction or utility associated with different combinations of goods. To find the associated direct utility function for the given indirect utility function v(P1, P2), we need to invert the indirect utility function and express it in terms of quantities consumed.

In this case, the indirect utility function is v(P1, P2) = -a * log(P1) - b * log(P2). To obtain the associated direct utility function, we need to solve for the quantities consumed, X1 and X2, in terms of prices and preferences. By exponentiating the logarithmic terms and rearranging the equation, we find that X1 = (P1^(-a)) * (P2^(-b)).

Therefore, the associated direct utility function is u(X1, X2) = X1^a * X2^b, where X1 and X2 are the quantities consumed of goods 1 and 2, respectively, and a and b are parameters representing the consumer's preferences. This direct utility function captures the consumer's utility as a function of the quantities consumed.

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The manufacturer estimates that about 1% of the light bulbs are defective. We can solve for the probability of defective bulbs using the binomial probability distribution formula. A package of 10 lightbulbs is taken randomly from the shipment. We have to find the probability that at most 1 lightbulb in a package of 10 lightbulbs is defective.The probability that a single light bulb in the package is defective is 0.01. The probability that in a package of 10 lightbulbs, at most 1 light bulb is defective is 0.9043.

So, the probability that a single light bulb in the package is not defective is (1-0.01) = 0.99.

Probability of at most one defective light bulb in a package of 10 lightbulbs:

P(X ≤ 1) = P(X = 0) + P(X = 1)

= (10C0 × 0.01⁰ × 0.99¹⁰) + (10C1 × 0.01¹ × 0.99⁹)

= (1 × 1 × 0.99¹⁰) + (10 × 0.01 × 0.99⁹)

= 0.9043 (approx.)

The probability that in a package of 10 lightbulbs, at most 1 light bulb is defective is 0.9043 (approx.).

Thus, the probability that in a package of 10 lightbulbs, at most 1 light bulb is defective is 0.9043.

This has been calculated using the binomial probability distribution formula.

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Answer:

x = 1/3

Step-by-step explanation:

1 = 1/x -2

add 2 to both sides

3 = 1/x

x = 1/3

The circles with numbers with no consecutive numbers between the circle joined by a line segment are given as

1 - 3 - 5

|          |

7        8

|          |
2 - 4 - 6

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

Numbers:

1 to 8.

Now,

1 - 3 - 5

|          |

7        8

|          |
2 - 4 - 6

Thus,

The circle has numbers where no consecutive circles are having consecutive numbers joined by a line segment.

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