How do you calculate 24 3/8 - (-54 1/8)=

Answer:

it may be 30

Step-by-step explanation:

becasue 6x2 is 12 half hour $3 and kayak 15 all that is 30

Answer:

it's 30

Step-by-step explanation:

15 + 6 + 6 + 3

15+15

15 was the down payment, plus six dollars for the hours he was there and then three dollars for the half hour.

The sampling method described in the scenario is d. stratified sampling.

In stratified sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables. The researcher then randomly selects samples from each stratum in proportion to their representation in the population. This approach ensures that the sample is representative of the population's diversity.

In this case, the researcher has divided the population of teachers into two strata: male teachers and female teachers. By randomly selecting 50 male teachers and 50 female teachers, the researcher is ensuring that both genders are represented in the sample.

The researcher's intention is to have a sample that reflects the gender distribution of teachers in the population accurately. Therefore, stratified sampling is the appropriate method in this scenario.

Other sampling methods, such as systematic sampling, convenience sampling, random sampling, and cluster sampling, are not applicable because they do not specifically address the need to ensure proportional representation of genders in the sample.

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Answer:

Graphing the derivative with the function can illustrate how to find these turning points. The function is increasing exactly where the derivative is positive, and decreasing exactly where the derivative is negative. On the graph of the derivative find the x-value of the zero to the left of the origin.

Answer:

17 days

Step-by-step explanation:

Determining the probability of repayment is not solely determined by the interest rate spread, but also relies on factors such as borrower creditworthiness, loan terms, and the lender's risk assessment methods.

To determine the loan company's expected probability of repayment, we can analyze the interest rate spread between what they charge (15%) and what they borrow at (10%).

The interest rate spread represents the lender's profit margin and accounts for various factors such as default risk, operating costs, and desired return on investment.

In this case, with an interest rate spread of 5% (15% - 10%), the loan company expects to cover its costs and generate profit by lending money to consumers. The wider the interest rate spread, the greater the lender's expected profit.

However, the exact probability of repayment cannot be determined solely based on the interest rate spread. It also depends on other factors like the creditworthiness of borrowers, loan terms, and risk assessment methods employed by the lender.

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The interval containing the middle 95% of the simulation data is approximately 0.3426 to 0.5374.

To create an interval containing the middle 95% of the data based on the simulation results, we can use the concept of confidence intervals. Since the simulation was repeated 100 times, we can calculate the proportion of tails in each set of 100 flips and then find the range that contains the middle 95% of these proportions.

Let's calculate the interval:

Calculate the proportion of tails in each set of 100 flips:

Proportion of tails = 44/100 = 0.44

Calculate the standard deviation of the proportions:

Standard deviation = sqrt[(0.44 * (1 - 0.44)) / 100] ≈ 0.0497

Calculate the margin of error:

Margin of error = 1.96 * standard deviation ≈ 1.96 * 0.0497 ≈ 0.0974

Calculate the lower and upper bounds of the interval:

Lower bound = proportion of tails - margin of error ≈ 0.44 - 0.0974 ≈ 0.3426

Upper bound = proportion of tails + margin of error ≈ 0.44 + 0.0974 ≈ 0.5374

Therefore, the interval containing the middle 95% of the simulation data is approximately 0.3426 to 0.5374.

Now, we can compare the observed proportion of 44 tails in 100 flips with the simulation results. If the observed proportion falls within the margin of error or within the calculated interval, then it can be considered consistent with the simulation results. If the observed proportion falls outside the interval, it suggests a deviation from the expected result.

Since the observed proportion of 44 tails in 100 flips is 0.44, and the proportion falls within the interval of 0.3426 to 0.5374, we can conclude that the observed proportion is within the margin of error of the simulation results. This means that the result of 44 tails in 100 flips is reasonably likely to occur with a fair coin based on the simulation.

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Answer: $51.48

Step-by-step explanation:

If a $52 item is marked up by 10%, its new price will be:

$52 + 10% of $52 = $52 + $5.20 = $57.20

Then, if this new price is marked down by 10%, the final price will be:

$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48

Therefore, the final price of the item after the markup and markdown is $51.48.

The support reactions at points A, B, and C are:

A = 0 kN

B = 430 kN

C = 200 kN.

To find the support reactions at points A, B, and C, we can analyze the equilibrium of forces acting on the beam.

Given the information provided,

Step 1: Calculate the total length and centroid of the beam.

The total length of the beam is 10 m + 5 m + 5 m = 20 m.

The centroid of the beam is

(10 m × 5 kN/m) + (5 m × 15 kN/m) + (5 m × 15 kN/m) / (20 m)

= 10 kN/m.

Step 2: Calculate the total distributed load acting on the beam.

The total distributed load is the product of the centroid and the total length of the beam:

= 10 kN/m * 20 m

= 200 kN.

Step 3: Determine the reaction at point C.

Since there is no load to the right of point C, the reaction at point C will be equal to the total distributed load acting on the beam.

Therefore, the reaction at point C is 200 kN upward.

Step 4: Determine the reaction at point A.

To calculate the reaction at point A, we need to consider the vertical equilibrium of forces.

The reaction at point A can be calculated as:

Reaction at A = Total load - Reaction at C

= 200 kN - 200 kN

= 0 kN

Step 5: Determine the reaction at point B.

To calculate the reaction at point B, we need to consider the moment equilibrium.

Since the second moment of area of segment BC is twice that of segment AB, we can assume that the segment BC contributes twice as much to the moment at point B compared to segment AB.

Let's consider the clockwise moments as positive:

Clockwise moments

= (200 kN × 10 m) + (15 kN/m × 5 m × 2) × (5 m + (5 m / 2))

Counter-clockwise moments = Reaction at B × 5 m

Setting the clockwise moments equal to the counter-clockwise moments, we can solve for the reaction at B:

(200 kN × 10 m) + (15 kN/m × 5 m × 2) × (5 m + (5 m / 2))

= Reaction at B × 5 m

Simplifying the equation:

2000 kNm + 150 kNm = Reaction at B × 5 m

2150 kNm = Reaction at B × 5 m

Solving for the reaction at B:

Reaction at B = 2150 kNm / 5 m

Reaction at B = 430 kN

Therefore, the support reactions at points A, B, and C are:

A = 0 kN

B = 430 kN

C = 200 kN.

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Answer:

x = 4.75

Step-by-step explanation:

The possible lengths for a triangle are given as follows:

a. 19 cm, 8 cm, 12 cm.

c. 10 cm, 12 cm, 6 cm.

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

Hence, for item a, we have that:

8 + 12 = 20 > 19.

For item b, we have that:

10 + 6 = 16 > 12.

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Answer: The first and last table.

As the x increases by 2, the y goes down by 1, so both tables have the same rate of change which means they are the same function.

Tables 1 and 5 are equal.

Given are 5 tables in x and y with two values each.

We are to find out which two represent the same function.

As for every function, two points are given.

Let us compare the slopes of each function.

Slope=change in y coordinate/change in x coordinate

Table           Slope

I                 -0.5

2               -0.5

3               -0.5

4                 1

5                -0.5

Table 4 is eliminated now.

Though slopes are the same for 1 and 2,f(4) =8 and 5 different . Hence I and II cannot be the same.  Similarly for 2 different values are there in table 3,4,5.  Hence 3,4,5 cannot be pairwise equal.

We find that table I and table 5 have the same slope. Also when pairwise taken, (4,8) and (2,9) slope = -0.5

So table I = table 5

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Answer:

3250

Step-by-step explanation:

so for the first and 2nd show, the attendance is 2580 and 2920.

The average of both these numbers is 2750

the if the third show had 3000 people, the average attendance would only be 2875.

We need the average number to be 3000.

2750 is 250 less than 3000, so the other number must be 250 more.

3250 is how many people should go to the last show.

=====================================

Explanation:

We have 2580 people attend the first show and 2920 attend the second. So far, that's 2580+2920 = 5500 people. Add on another x people to get 5500+x, which represents the sum of all three days attendance figures. Divide this sum by 3 to get the average attendance

average attendance = (sum of individual attendance values)/(number of days)

average attendance = (5500+x)/3

So that's why (5500+x)/3 goes in the first box. The parenthesis are important to ensure that you divide all of "5500+x" over 3. If you just wrote 5500+x/3, then the computer would think you just want to divide x only over 3.

----------------

We set (5500+x)/3 equal to 3000 as we want the average of the three days to be 3000

(5500+x)/3 = 3000

5500+x = 3*3000

5500+x = 9000

x = 9000-5500

x = 3500

We need 3500 people to show up on day 3 so that the average of all three days is 3000.

3500 goes in the second box.

----------------

Check:

The figures for the three days are 2580, 2920, and 3500

They add to 2580+2920+3500 = 9000

Which divides to 9000/3 = 3000, which is the average we're after. So the answer is confirmed.

Answer:

132 miles

Step-by-step explanation:

Answer: the answer is 93.7 miles

The remaining zeroes of p are x = \(\sqrt{6}\) or x = -\(\sqrt{6}\).

Given,

The equation is :

p(x) = \(4x^3+x^2-24x-6\)

c = -1/4

To find the remaining zeroes of p

Now, According to the question:

\(4x^3+x^2-24x-6\)

Apply grouping

\((4x^3+x^2)+(-24x-6)=0\)

Factor out common factor

\(x^{2} (4x+1)-6(4x+1)=0\)

\((x^2-6)(4x+1)=0\)

Apply zero Product Property

4x +1 = 0 or \(x^{2} -6=0\)

x = -1/4 or x = \(\sqrt{6}\) or x = -\(\sqrt{6}\)

Hence, The remaining zeroes of p are x = \(\sqrt{6}\) or x = -\(\sqrt{6}\).

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Answer:

y=1/3x+2

Step-by-step explanation:

Travelling towards each other, if the cars meet in 2 hours, the rate of the slower car is 86 km/hr.

Let the speed of the slower car is x

The speed of the faster car is 18 kilometer more than slower car, that is x+18.

The time taken by both the cars is 2 hours.

The distance covered by both the cars is 380 kilometers.

speed= distance/time

distance= speed*time

2x+2(x+18)=380

2x+2x+36=380

4x+36=380

4x=344

x=344/4

x=86

The speed of the faster car is

x+18=86+18

=104

The speed of the faster car is 104 km/hr

Therefore, the speed of the slower car is 86 km/hr.

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Let's denote the rate of the slower car as "x" kilometers per hour. Since the rate of the faster car is 18 kilometers per hour greater, we can represent it as "x + 18" kilometers per hour.

We know that the two cars are traveling towards each other and will meet in 2 hr. Therefore, the total distance covered by both cars will be the sum of their distances traveled.The slower car travels at a rate of "x"km/hr for 2 hr,covering a distance of 2x km.The faster car travels at a rate of "x + 18"km/hr for 2 hours, covering a distance of 2(x+18)km.

The total distance covered by both cars is the sum of these distances, which should be equal to the total distance of 380 kilometers:

2x + 2(x + 18) = 380

Now we can solve this equation to find the rate of the slower car:

2x + 2x + 36 = 380

4x + 36 = 380

4x = 380 - 36

4x = 344

x = 344 / 4

x ≈ 86

Therefore, the rate of the slower car is approximately 86 kilometers per hour.

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Answer:

29

Step-by-step explanation:

Answer:

26.3

Step-by-step explanation:

Perimeter is found by adding up all the sides.

8+6+6+6.3

18.3+8 =26.3

Answer:

26.3

Step-by-step explanation:

First, you find the perimeter of the original image, 6+6+6.3+8 = 26.3

Because the shape is only rotated, they are equal which means all 3 shapes have the same perimeter.

The vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Given an equation showing profits of A Christmas vendor as

P=-0.1\(g^{2}\)+30g-1200.

We have to find the number of gingerbread houses that the vendor needs to sell in order to earn profit of $665.60 and $1500.

To find the number of gingerbread houses we have to put P=665.60 in the equation given which shows the profit earned by vendor.

665.60=-0.1\(g^{2}\)+30g-1200

0.1\(g^{2}\)-30g+1200+665.60=0

0.1\(g^{2}\)-30g+1865.60=0

Divide the above equation by 0.1.

\(g^{2}\)-300g+18656=0

Solving for g we get,

g=[300±\(\sqrt{(300)^{2}-4*1*18656 }\)]/2*1

g=[300±\(\sqrt{90000-74624}]/2\)

g=[300±\(\sqrt{15376}\)]/2

g=(300±124)/2

g=(300+124)/2       , g=(300-124)/2

g=424/2,  g=176/2

g=212,88

Because 212 is much greater than 88 so vendor prefers to choose selling of 88 gingerbread houses.

Put the value of P=1500 in equation P=-0.1\(g^{2}\)+30g-1200.

-0.1\(g^{2}\)+30g-1200=1500

0.1\(g^{2}\)-30g+1500+1200=0

0.1\(g^{2}\)-30g+2700=0

Dividing equation by 0.1.

\(g^{2}\)-300g+27000=0

Solving the equation for finding value of g.

g=[300±\(\sqrt{300^{2} -4*1*27000}\)]/2*1

=[300±\(\sqrt{90000-108000}] /2\)

=[300±\(\sqrt{-18000}\)]/2

Because \(\sqrt{-18000}\) comes out with an imaginary number so it cannot be solved for the number of gingerbread houses.

Hence the vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

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To do this, you can determine how much each angle measures using the cosine law, which is a formula that relates the angles to the sides of any triangle.

For example, to first find the measure of angle A, you have

Similarly, you can find the angle B

To find the angle C you can use the following expression that indicates that the sum of the internal angles of a triangle is 180

Therefore, the order of the angles from largest to smallest is

A graph is a function if it passes the vertical line test, meaning that no vertical line intersects the graph at more than one point. If the graph does not pass this test, it is not a function.

The graph is a function if each input value (x-coordinate) corresponds to exactly one output value (y-coordinate). To determine if a graph is a function, we can apply the vertical line test. If a vertical line intersects the graph at more than one point, then the graph is not a function.

Let's consider an example. If we draw a vertical line that intersects the graph at multiple points, then it is not a function. However, if the vertical line intersects the graph at most one point for any given x-coordinate, then it is a function.

In a function, each x-coordinate has a unique y-coordinate. For instance, the point (1, 3) represents that when x=1, y=3. If there is another point on the graph that has the same x-coordinate but a different y-coordinate, then the graph is not a function.

In summary, a graph is a function if it passes the vertical line test, meaning that no vertical line intersects the graph at more than one point. If the graph does not pass this test, it is not a function.

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Declan's statement is technically correct, it is not a very helpful way to write an equivalent fraction for 5.

Declan's statement is mathematically correct, but it is not a useful way to write an equivalent fraction for 5 in most contexts.

In general, to write an equivalent fraction, we need to multiply or divide both the numerator and the denominator by the same nonzero number. This preserves the value of the fraction, but changes its form.

For example, to write an equivalent fraction for 5, we can multiply both the numerator and denominator by any nonzero number. Let's say we multiply both by 2:

5/1 = (5x2)/(1x2) = 10/2

So 10/2 is an equivalent fraction for 5.

However, if we follow Declan's approach and write 5 as the denominator and 1 as the numerator, we get:

5/1 = 1/5

This is indeed an equivalent fraction for 5, but it is not a particularly useful or common way to write an equivalent fraction. In general, we prefer to write equivalent fractions with a denominator that has some mathematical or practical significance, such as a power of 10 or a factor of the original denominator.

So while Declan's statement is technically correct, it is not a very helpful way to write an equivalent fraction for 5.

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Answer:

8

Step-by-step explanation:

If the area is 32 and the formula for area of a triangle is base * height / 2, and you have base = 8 and height = x and area = 32, this would be:

8 * x / 2 = 32

Now, solve:

\(8x/2=32\\4x=32\\x=8\)

Answer:

x=8

Step-by-step explanation:

Area is equal to half of the base times the height. We are told that the area is 32and the base is 8, so we can write this equation:

32=1/2(8)h

Multiply 1/2 by 8:

32=4h

Divide both sides by 4:

h=8

So now we know that x (the height) equals 8.

HTH :)

Answer:

60x24

Step-by-step explanation:

60x24=1224

Answer:

Si puede asegurarse, ya que la inversión en la cuenta bancaria que da un 8% anual, es menor a 100 000 y mayor que 500 000.

Step-by-step explanation:

Ci= 100 000 $

Cuenta #1 = 8% de interés simple. con depósitos de 50 000$.

La segunda para 6.4% con interés simple para depósitos de 100 000$

Determine si el dinero se puede depositar para que fenere un interés de 7500

7500 = C1(0.08)+C2(0.064)

C1+C2= 100 000

C2 = 100 000 -C1

7500 = C1(0.08)+(100 000 - C1)(0.064)

1100= 0.016 C1

C1= 68750$.

Answer:

\(6(a - 2) = 6a - 12\)

Answer:

31 degrees

Step-by-step explanation:

the side with the length of 29 can be seen as the radius of a circle.

and the sin value of an angle is the distance of a point on that circle from the x-axis. as the standard sin function is for the standard circle with radius 1, we need to multiply this by the actual radius.

15 = sin(?)×29

sin(?) = 15/29 = 0.5172...

? = 31.14... degrees ≈ 31 degrees

the discontinuities of a rational function involves finding the values of x that make the denominator equal to zero, while finding the asymptotes of a rational function involves examining the behavior of the function as x approaches certain values.

Describe the function.

There will be questions on every subject, including created and real places as well as algebraic variable design, on the midterm test. a schematic illustrating the connections between various components that work together to produce the same outcome. A service is made up of many unique parts that work together to produce unique outcomes for each input.

To find the discontinuities of a rational function, we need to determine where the function is undefined. In general, a rational function is a function of the form:

f(x) = p(x) / q(x)

where p(x) and q(x) are polynomials in x, and q(x) is not the zero polynomial. The rational function f(x) is undefined at any value of x that makes the denominator q(x) equal to zero, since division by zero is undefined.

Therefore, to find the discontinuities of a rational function, we need to solve the equation q(x) = 0. The values of x that make q(x) equal to zero are called the "zeros" or "roots" of the denominator q(x). These values of x are the discontinuity points of the function, since the function is undefined at those points.

On the other hand, to find the asymptotes of a rational function, we need to examine the behavior of the function as x approaches certain values. In general, a rational function may have three types of asymptotes: horizontal, vertical, and oblique (also called slant).

Vertical asymptotes occur when the function approaches positive or negative infinity as x approaches a certain value, typically where the denominator q(x) equals zero.

Horizontal asymptotes occur when the function approaches a constant value as x approaches positive or negative infinity.

Oblique asymptotes occur when the degree of the numerator is exactly one greater than the degree of the denominator. In this case, the function approaches a straight line (i.e., a slant asymptote) as x approaches positive or negative infinity.

To summarize, finding the discontinuities of a rational function involves finding the values of x that make the denominator equal to zero, while finding the asymptotes of a rational function involves examining the behavior of the function as x approaches certain values.

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