13 5/12 - 6 7/12 Please help me asap i really need this answer in fractions

The politician should obtain a sample of at least 602 voters to estimate the proportion of voters supporting her position on forced busing with a 90% level of confidence and a 4% margin of error.

What is the proportion?

A proportion is two ratios that have been set equal to each other; a proportion is an equation that can be solved. When I say that a proportion is two ratios that are equal to each other, I mean this in the sense of two fractions being equal to each other. For instance, 5/10 equals 1/2.

To determine the sample size needed to estimate the proportion of voters supporting a certain position within a certain margin of error and level of confidence, we can use the following formula:

n = (Z² * p * (1 - p)) / E²

where:

n is the sample size

Z is the z-score corresponding to the desired level of confidence (in this case, 90%, which corresponds to a z-score of 1.645)

p is the estimated proportion of voters supporting the politician's position (we don't have an estimate, so we'll use 0.5, which maximizes the sample size and provides the most conservative estimate)

E is the desired margin of error (in this case, 4%, which is equivalent to 0.04)

Substituting the values given, we get:

n = (1.645² * 0.5 * (1 - 0.5)) / 0.04²

n = 601.5625

We need to round up to the nearest whole number since we can't have a fractional sample size, so the minimum sample size needed is 602 voters.

Therefore, the politician should obtain a sample of at least 602 voters to estimate the proportion of voters supporting her position on forced busing with a 90% level of confidence and a 4% margin of error.

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Answer:

59.8741928

Step-by-step explanation:

132lbs to kg is 59.8741928

The conversion of 5 million Yen to USD results in 37000 US Dollars .

We can convert the amount 5 million Japanese Yen to US Dollars by using the currency exchange rate .

The exchange rate can vary due to the fluctuations in the global financial markets , the current currency exchange rate from "Japanese Yen" to US Dollar is ;

⇒ 1 Yen is = 0.0074 US Dollar ;

The amount 5 million dollar can be numerically written as 5000000 ;

On multiplying the amount by 0.0074 , we get ;

⇒ 5000000 × 0.0074 = 37000 US Dollar .

Therefore , 5000000 Yen is equivalent to $37000 .

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For someone working 24 hours daily, the equivalent hourly wage for a $48,000 yearly salary would be $5.48 per hour.

Assuming that someone works 24 hours a day, 365 days a year, their total number of working hours in a year would be 8,760 hours. To calculate how much an hourly rate would be for a $48,000 yearly salary if someone works 24 hours daily, you can divide the annual salary by the total number of working hours.

Dividing $48,000 by 8,760 hours gives an hourly wage of $5.48. This means that if someone works 24 hours daily, their equivalent hourly wage for a $48,000 yearly salary would be $5.48 per hour.

Additionally, laws and regulations related to working hours vary by country and industry, and many limit the maximum number of working hours per day or week.

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[tex]\frac{1}{10}[/tex] of electricity is made up of other resources and it can be found by addition and subtraction of fractions.

Examine the fractions' denominators. Find the LCM of the denominators and rationalise them to make the denominators of the fractions the same. Add the fraction numerators while keeping the denominator constant. To get the final sum, simplify the fraction.

To subtract fractions, first calculate the denominator's LCM. Step 2: Multiply the numerator and denominator by the same number to get the LCM value. Step 3: When the denominator and numerator are equal, subtract the numerator. Step 4: If necessary, simplify the resulting fraction.

[tex]\frac{5}{10} + \frac{2}{10} + \frac{2}{10} + x = 1.\\\frac{9}{10} + x = 1.\\\frac{10x+ 9}{10} = 1\\10x + 9= 10\\x= \frac{1}{10}[/tex]

hence, 1/10 of the electricity is made up of other resources.

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The value of the exponent 'x' in  5ˣ⁻⁵⁵ = 125⁵ is 70.

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

Given, An equation in exponents 5ˣ⁻⁵⁵ = 125⁵.

5ˣ⁻⁵⁵ = 5³ˣ⁵.     (as 5³ is 125)

Therefore, x - 55 = 15.

x = 70.

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Answer: x= 5/2, y= 11, z= 3/2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point form:

(5/2, 11, 3/2)

Answer:

answer is in the graph

Step-by-step explanation:

label your y axis miles (horizontal axis) with intervals of 10

label your x axis hours (right to left axis) with intervals of 1

for every 1 hour (x axis) your graph increases by 10 miles (y axis)

so your points are

(1, 10) and (2, 20) and (3, 30) and so on

your equation for the line is  y=10x

see attached graph

Homogeneity of variance assumption assumes that the two populations have equal variances, so the correct answer is option c, "The two populations have equal variances.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The homogeneity of variance assumption assumes that the two populations have equal variances. Therefore, the correct answer is option c, "The two populations have equal variances."

This assumption is often made in statistical tests that compare the means of two groups, such as the t-test.

When the variances of the two populations are equal, it allows for more precise estimates of the standard error and can improve the accuracy of the test results.

However, if the variances are not equal, it can lead to biased and unreliable results.

In such cases, alternative methods, such as Welch's t-test or the Brown-Forsythe test, can be used to adjust for unequal variances.

Hence, homogeneity of variance assumption assumes that the two populations have equal variances, so the correct answer is option c, "The two populations have equal variances.

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The value of x to 3 significant figures is approximately 18.9 cm.

Area of circle can be defined as the product of pi and square of radius of circle.

The area of a circle is given by the formula[tex]A = πr^2[/tex], where r is the radius of the circle.

Since the area of the circle is 56^2 cm, we can set up the equation:

[tex]πr^2 = 56^2[/tex]

Solving for r, we get:

[tex]r = √(56^2/π) ≈ 13.37 cm[/tex]

Since the square fits exactly inside the circle, its diagonal is equal to the diameter of the circle, which is 2r. Therefore:

x√2 = 2r

Substituting the value of r, we get:

[tex]x√2 = 2(√(56^2/π))[/tex]

x√2 ≈ 26.74

Dividing both sides by √2, we get:

x ≈ 18.94

Therefore, the value of x to 3 significant figures is approximately 18.9 cm.

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Answer:

x > -9.5

Step-by-step explanation:

2x - 6 > -25

2x > -19

x > -19/2

x > -9.5

Answer: i think the answer would be 75

Answer:

55 chairs.

Step-by-step explanation:

Note the way Liam arranges the chairs.

1) He arranges chairs in 8 rows of the same length, with 7 chairs left over.

8x + 7

2) He arranges chairs in 6 rows of the same length, with 19 chairs left over:

6x + 19

Set the two expressions equal to each other:

8x + 7 = 6x + 19

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 6x and 7 from both sides of the equation:

8x (-6x) + 7 (-7) = 6x (-6x) + 19 (-7)

8x - 6x = 19 - 7

2x = 12

Next, divide 2 from both sides of the equation:

(2x)/2 = (12)/2

x = 12/2

x = 6

Plug in 6 for x in both expressions. It should give the same answer:

8x + 7

8(6) + 7 = (8 * 6) + 7 = (48) + 7 = 55

6x + 19

6(6) + 19 = (6 * 6) + 19 = (36) + 19 = 55

~

Therefore, Liam has 55 chairs in all.

~

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The metric system is defined as the decimal system of units based on the meters, kilograms, and second as the units of length, mass, and time respectively. The imperial system is defined as the measurement system used in countries like the UK, Liberia, Myanmar, etc. that uses units like an inch, pound, ton etc.

The Metric and Imperial systems are both systems of measurement. That is, they are not just one unit of measure, but are correlated systems of many units of measure – measuring length and area, weight and mass, volume, force, temperature etc.

The imperial system of measurement is defined as a system that originated in Britain and came to formal use in the early 19th century with the Weights and Measures Act of 1824 and 1878. It uses some of the commonly used units there like an inch, ton, pound, gallon, pint, etc.

Most countries use the metric system which uses the measuring units such as meters and grams, and adds prefixes like kilo, milli, and centi to count orders of magnitude.

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The class interval of a data set with 30 elements is 5.

The range of a data set is the difference between the largest and smallest values in the set. Once the range is calculated, the class interval can then be calculated by dividing the range by the number of elements in the set.

In the case of a data set with 30 elements, the class interval can be calculated by dividing the range of the data set by 30. This will tell us the size of the intervals that the data is divided into.

If the range of the data is 150, the class interval would be 150/30, which is equal to 5. Therefore, the class interval of the data set would be 5.

It is important to note that the class interval should be chosen so that it is not too small or too large. If the class interval is too small, the data may become too granular, making it difficult to interpret. If the class interval is too large, important details about the data may be lost

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By using Taylor series, the limit does not exist, since the third term does not converge as x approaches 0.

To evaluate the limit using series, we can use the Taylor series expansion of each term in the limit as x approaches 0. A Taylor series is an infinite sum of terms that are expressed in terms of the derivatives of a function at a single point.

Starting with the first term:

lim x→0 (1/3) * x^3 = 0

Next, for the second term, we have:

lim x→0 ((x^3 - 1)/(2x^2)) = lim x→0 (x^3/2x^2) = lim x→0 (x/2) = 0

For the third term, we have:

lim x→0 (x - ln(1 + x))/x^4

= lim x→0 [(x - (x - x^2/2 + x^3/3 - ...))/x^4] (using the Taylor series expansion of ln(1+x))

= lim x→0 [x^2/2 - x^3/3 + ...]/x^4

= lim x→0 [1/2x^2 - 1/3x^3 + ...]

= ∞

Therefore, the limit does not exist, since the third term does not converge as x approaches 0.

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Ascending order of the numbers are,

⇒ - 2 1/4, - 1 1/4, | 1 1/4| , | - 1 3/4|, | - 2 1/4 |

The numbers which are arrange in order to least to greatest number is called Ascending order.

We have to given that;

All the numbers are,

⇒ |-2 1/4| , -1 1/4,  3/4,  -2 1/4,  |1 1/4|,  |-1 3/4|

Now, We can simplify each number as;

⇒ | - 2 1/4 | = 2 1/4

                 = 9/4

                 = 2.15

⇒ - 1 1/4 = - 5/4

            = - 1.25

⇒ 3/4 = 0.75

⇒ - 2 1/4 = - 9/4

             = - 2.25

⇒ | 1 1/4| = 5/4

              = 1.25

⇒ | - 1 3/4| = 7/4

                = 1.75

Thus, Ascending order of the numbers are,

⇒ - 2.25, - 1.25, 1.25, 1.75, 2.15

⇒ - 2 1/4, - 1 1/4, | 1 1/4| , | - 1 3/4|, | - 2 1/4 |

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The value of the expression -13x-7y is -8.

What is the system of equations?

Simultaneous equations, or a system of equations, Two or more equations in algebra must be solved jointly. The number of equations must match the number of unknowns for a system to have a singular solution.

Given system of equations are

-9x + y = 2   .....(i)

-4x - 8y = -10 ....(ii)

Solve the equation by using system of equations.

Multiply equation (i) by 8 and add with equation (ii)

-72x + 8y = 16

-4x - 8y = -10

___________

-76x = 6

x = 6/-76

x = - (3/38)

Putting x = - (3/38) in equation (i):

-9[- (3/38)] + y = 2

27/38 + y = 2

y = 2 - 27/38

y = 49/38

Putting x = - (3/38) and y = 49/38 in -13x-7y:

-13(-3/38)-7(49/38)

= 39/38 - 343/38

= -304/38

= -8

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In linear equation,the number of customers who will pay by debit card will be 88.97.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                    The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Known as a linear equation, this type of equation has a highest power of one for each variable.

Last week there were

87 + 24 + 7 = 118 customers.

That means that the fraction of the customers, who paid by debit card, was

7/118  

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 7/118 if customers use credit cards

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

1500  × 7 / 118 = 88.97

Therefore the number of customers who will pay by debit card will be 88.97.

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A probability mass function is a function that describes the probability of a discrete random variable taking on each possible value in its sample space.

A probability mass function (PMF) is a function that assigns a probability to each possible value of a discrete random variable. The PMF maps each value to the probability of that value occurring in the random variable's sample space. The probabilities assigned by the PMF must sum to 1, since the random variable must take on one of the possible values in its sample space.

The PMF is used to calculate the expected value, variance, and other statistical properties of the random variable. It is also used to create probability distributions and generate simulations of the random variable. Probability mass functions are commonly used in probability theory, statistics, and other fields that involve discrete random variables.

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Answer:

1/2 ton

Step-by-step explanation:

1/2 ton is 1102 pounds

The conversion of 1.70 meters to feet gives the value which is equal to 5.5774 feet ( approximately ) .

Meters to feet can be converted by the following relation ,

1 meter = 3.28084 feet

Now Substitute the given value to convert meters  into feet.

Here, convert 1.70 meters into feet we get,

⇒ 1.70 meters =  ( 1.70 ) × ( 3.28084 ) feet

⇒ 1.70 meters =  5.577428 feet

Rewrite upto four decimal places we get,

⇒ 1.70meters =  5.5774 feet ( approximately )

Therefore, after converting unit of 1.77 meters into feet it is equal to 5.5774 feet ( approximately ) .

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Answer:

D.  (39.6) or 39.0

Step-by-step explanation:

See the attached worksheet.

Two right triangles are formed in the diagram.  Use the pythagorean theorem on both, starting with the lower triangle, since two of the sides are known and the third (d) may be calculated.  

1.  From the first (bottom) triangle, we find that d is 36.66.

2.  Using this value of d in the upper triangle provided a length for x of 39.6, closest to answer option D at 39.0

Answer:(-2,-3)

Step-by-step explanation: We are using elimination to solve this system of equations. They've already done the balancing so let's use their given equation. It states

[tex]4y+3x=-6[/tex]  and  [tex]3y-3x=-15[/tex]

Combine the equations which will eliminate the x term and you get :

[tex]7y = -21[/tex]

which means

[tex]y=-3[/tex]

plug it back in to solve for x and you get the x-value to be -2.

The slope is 4 over 5, which means for each additional donut sold, the shop is predicted to earn $0.80.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The manager of the shop gathered data from several donut shops in the city for the total cost, y, for different amounts of donuts, x.

Now, Let two point on the line are (3, 3) and (8, 7).

Hence, The value of slope is,

Slope = (7 - 3) / (8 - 3)

Slope = 4/5

Thus, We get;

The slope is 4 over 5, which means for each additional donut sold, the shop is predicted to earn $0.80.

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The rate of the canoe in still water is 5 miles per hour, and the rate of the current is 1 mile per hour.

Let's use the letters "c" for the canoe's speed in still water and "r" for the current's speed. The formula is as follows:

Rate times distance

establishing two equations, one for the upstream trip and one for the downstream trip.

Trip downstream:

12 miles is the distance.

rate = c plus r. (since the current is helping them)

t = two hours

We thus have:

12 = (c + r) × 2

When we simplify this equation, we obtain:

6 = c + r

Trip upstream:

12 miles is the distance.

rate equals c-r (since they are now going against the current)

three hours.

We thus have:

12 = (c - r) × 3

When we simplify this equation, we obtain:

4 = c - r

There are now two equations:

6 = c + r

4 = c - r

By combining the two equations, we may find the value of one of the variables:

6 + 4 = 2c

If we simplify, we get:

10 = 2c

When you divide both sides by 2, you get:

c = 5

To solve for the other variable, we may now re-insert this value into one of the equations. Let's apply the formula:

6 = c + r

With c = 5, we obtain:

6 = 5 + r

5 is subtracted from both sides to yield:

r = 1

In still water, the canoe moves at a rate of 5 miles per hour, while the current moves at a rate of 1 mile per hour.

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The sides of the given right triangle are:

g = 33.80

h = 31.20

j = 13

What is a triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Any three points in Euclidean geometry, when they are not collinear, produce a distinct triangle. A right triangle is a triangle with two perpendicular sides and one angle that is a right angle.

The given figure has a large right triangle with sides g,h and j and a small right triangle with sides 12, j and 5.

Using the small triangle, we can find the value of j.

By Pythagoras theorem,

j² = 12² + 5² = 144 + 25 = 169

j = 13

Now using trigonometric relation we can find the angle ∅  between j and 5.

sin ∅ = 12/13 = 0.923

∅ =  sin ⁻¹ (0.923) = 67.37°

This angle is common for both triangles.

So for large triangle,

tan 67.37 = h/j = h/13

2.4 = h/13

h = 31.2

By Pythagoras theorem,

g² = h² + j²  = 31.2²  + 13² = 1142.44

g = 33.8

Therefore the sides of the given right triangle are:

g = 33.80

h = 31.20

j = 13.

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The function representing the price for one dog to be trained in t years is option C: P(t) = [tex]2750(0.2)^t.[/tex]

In mathematics, a function is a relation between two sets of values, where each input value from the first set (called the domain) corresponds to exactly one output value in the second set (called the range). The output value of a function is determined by its input value and any relevant rules or formulas.

Formally, a function can be defined as follows: Let X and Y be two non-empty sets. A function f from X to Y is a rule or formula that assigns to each element x in X a unique element y in Y, denoted by f(x), such that for any two elements x1 and x2 in X, if x1 = x2, then f(x1) = f(x2). The set X is called the domain of the function, and the set Y is called the codomain or range of the function.

Functions can be represented graphically, algebraically, or in tabular form. The graph of a function shows how the output value of the function varies with the input value, and can be used to visualize the behavior of the function. The algebraic representation of a function can be given by a formula or equation that expresses the output value in terms of the input value. A tabular representation of a function shows the input-output pairs in a table.

Functions are used in many areas of mathematics, science, engineering, and economics to model and describe relationships between variables. They are also used in practical applications, such as in computer programming, where they are used to define algorithms and data structures.

The total income is earned from training 400 dogs, so the price for one dog to be trained is the total income divided by the number of dogs trained:

P(t) = M(t) / D(t)

Substituting D(t) and M(t), we get:

P(t) =[tex](1100000(0.02)^t) / (400(0.1)^t)[/tex]

P(t) = [tex]2750(0.2)^t[/tex]

Therefore, the function representing the price for one dog to be trained in t years is option C: P(t) = [tex]2750(0.2)^t.[/tex]

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The value of 19 in Roman numerals is XIX

Roman numerals are defined as a numeral system which originated in ancient Rome and still remains the usual way of writing numbers throughout Europe into the Late Middle Ages.

Some examples of these numeral are;

We have to represent 19, we have;

X representing ten

IX representing nine

Put them together

19 is equal to XIX

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The most likely mean for the sample distribution is option c. negatively skewed.

Based on the given information, we know that the mean (M) is less than both the median and the mode. This suggests that the distribution is skewed to the left (negatively skewed), with a long tail on the left side of the distribution.

The mean of a sample distribution is the average value of all the observations or measurements in the sample. It is calculated by adding up all the values in the sample and dividing the sum by the total number of observations in the sample.

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