How many minutes should I spend on each question with a 75 question test and a 3 and a half hour time limit?

Answer:

2x2x3x5= 60

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Answer:

2 X 2 X 3 X 5

Step-by-step explanation:

We divide 60 by 2 as many times as possible to get 60 = 15 x 2 x 2. 2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3 Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2. Now we collect the factors, so our final answer is 60 = 5 x 3 x 22.

We should allocate the workers as follows: {HLH,LHL} {HLL,LHH} {HHH,LLL} to get the maximum output.

The O-ring model states that production output depends on the quality of each worker. The quality of the final product is determined by the lowest quality worker working on the project.

In the given case, we have two types of workers: H-type and L-type.

The H-type workers have a quality of q=0.6, and the L-type workers have a quality of q=0.4.

We are to determine how to allocate the workers to get the maximum output.

The answer is all of the above.{HLH,LHL} {HLL,LHH} {HHH,LLL} is the allocation we need to get maximum output.

Here's how we arrive at the solution:

For the O-ring model, we need to group the workers in a way that minimizes the number of low-quality workers in a group.

We can have two possible groupings as follows:

{HLH,LHL} - This group has a minimum q of 0.4, which is the quality of the L-type worker in the middle of the group.

{HLL,LHH} - This group also has a minimum q of 0.4, which is the quality of the L-type worker on the left of the group.

The other grouping, {HHH,LLL}, has all low-quality workers in one group and all high-quality workers in another group. This is not ideal for the O-ring model as the low-quality workers will negatively affect the output of the high-quality workers.

Thus, to get the maximum output, we should allocate the workers as follows:

{HLH,LHL} {HLL,LHH} {HHH,LLL} all of the above

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Answer:

C. 24,429 is the answer

Step-by-step explanation:

formula for volume of a sphere is V=4/3*π*r^3

r=18

r^3=5832

I used 3.14 for pie and just multiplied all that together

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Answer:

Step-by-step explanation:

diameter = 36 in

Radius = 36/2 = 18 in

Volume of beach ball = \(\frac{4}{3}\pi r^{3}\)

                                   \(=\frac{4}{3}*3.1428*18*18*18\\\\=4 * 3.1428*3*18*18\)

                                   = 24,429 in³

\(-28=-7(3x+4)+21x\\\\\implies -21x -28 +21x = -28\\\\\implies -28 =-28\\\\\text{The equation is true for all x.}\)

The solutions for x in the quadratic equation \(2x^2\) + 25x - 9.3 = 0 can be found using the quadratic formula. By plugging the coefficients a = 2, b = 25, and c = -9.3 into the formula, we can calculate the values of x. After simplifying the expression and rounding to three significant figures, we find that x is approximately equal to -0.989 and 4.739. These values represent the two solutions for x in the given quadratic equation.

To solve the given quadratic equation,\(2x^2\) + 25x - 9.3 = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form \(ax^2\) + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(\(b^2\) - 4ac)) / (2a)

In our equation, a = 2, b = 25, and c = -9.3. Plugging these values into the quadratic formula, we get:

x = (-25 ± √(\(25^2\) - 4(2)(-9.3))) / (2(2))

Simplifying further:

x = (-25 ± √(625 + 74.4)) / 4

x = (-25 ± √699.4) / 4

Now, we can calculate the approximate values for x using a calculator or by rounding to three significant figures:

x ≈ (-25 + √699.4) / 4 ≈ -0.989

x ≈ (-25 - √699.4) / 4 ≈ 4.739

Therefore, the solutions for x in the given quadratic equation are approximately x ≈ -0.989 and x ≈ 4.739.

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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.

Answer: 19.3

Step-by-step explanation:

The length of the hypotenuse is z = √(23² + 12²) and the length of the other side is y = 12z. is the answer.

Consider a right triangle with a side of length x opposite angle A, a side of length y opposite angle B, and a hypotenuse of length z opposite the right angle.

If sinB= 12 and x=23, then we can find the length of the other side (y) and the length of the hypotenuse (z) using the following method: We have, sinB = 12, and B is the angle opposite the side y.

Using the sin ratio, we have: sinB = y/z

We are given the value of sinB as 12.

Substituting this value in the above equation, we get:12 = y/z

This means that y = 12zWe are also given x=23.

Using the Pythagoras theorem, we have:x² + y² = z²

Substituting the value of y from above, we get:23² + (12z)² = z²

Solving for z, we get: z = √(23² + 12²)

Therefore, the length of the hypotenuse is z = √(23² + 12²) and the length of the other side is y = 12z.

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37 is at the 50th percentile in the given set of values.

To find the percentile of 37 in the given set of values, we need to count the number of values in the set that are less than or equal to 37, and then divide by the total number of values in the set.

The given set has 16 values, and there are 8 values that are less than or equal to 37.

So, the percentile of 37 is:

Percentile = (number of values below score / total number of values) × 100

Percentile = (8 / 16) × 100

Percentile = 50

Therefore, 37 is at the 50th percentile in the given set of values.

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Answer:18/35

Step-by-step explanation: 6*3 = 18

7*5 = 35

18 /35

Answer: 18/35

Step-by-step explanation:

6*3=18

7*5=35

18/35

Recall that the slopes of two perpendicular lines, satisfy that:

Therefore, the slope of the line perpendicular to -3x-2 must-have slope

Now, to determine the equation of the line, we will use the following formula for the equation of a line with slope m, that passes through the point (x₁,y₁):

Substituting (x₁,y₁)=(-7,-1/3), and m=1/3 in the above formula, we get:

Simplifying the above result, we get:

Recall that the slope-intercept form of the equation of a line is:

where b is the y-intercept and m is the slope.

Taking the equation of the line to its slope-intercept form we get:

Answer:

The first step is to calculate the approximate weight of the tank. This can be done by calculating the weight of the stainless steel plates and multiplying it by the surface area of the tank.

The surface area can be calculated by multiplying the length of the sides by the height. The weight of the stainless steel plates can be found online or by consulting a materials engineer.Once the approximate weight of the tank has been calculated, the base and height dimensions can be determined by trial and error. Start with a base length and a height and calculate the approximate weight of the tank. Then, adjust the base length and/or height and recalculate the weight. Continue this process until the lightest weight is achieved.It is important to consider the structural integrity of the tank when selecting the dimensions. A tank with too little height or too wide a base may not be able to withstand the pressure of the contents within. Consulting a structural engineer may be necessary to ensure that the tank is strong enough to withstand the pressure of the contents.

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Answer:

total commission= $2,600

Step-by-step explanation:

Giving the following information:

He earns a 10 percent commission on the first $5,000 and 15 percent on all sales over $5,000.

First, we need to structure the total commission formula:

total commission= 0.10*x + 0.15*y

X= sales up to $5,000

Y= sales from $5,001 to infinity

Now, sales for $19,000 sales:

total commission= 0.1*5,000 + 0.15*14,000

total commission= $2,600

To convert from fluid ounces to milliliters the volume in ounces must be multiplied with 29.5735.

Volume(in milliliters) = Volume in ounces x 29.5735

In mathematics, "volume" is a mathematical quantity that describes the three-dimensional space occupied by an object or closed surface. Volume units are cubic units such as m3, cm3, and in3. 

Universal standard unit of volume

Volume is a measure of the three-dimensional space occupied by matter or enclosed by surfaces, measured in cubic units. The SI unit for volume is the derived unit, the cubic meter (m3). 

Conversion of volume from ounce to milliliters

As we know, 1 ounce = 29.5735

So to convert  ounces to milliliters use the formula below,

Volume(in milliliters) = Volume(in ounces) x 29.5735

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Answer:

To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then ... graphing showing vertical asymptote at x = 1 ... Next, I'll find any x- or y- intercepts.

The probability that the mean for this sample is less than $21.50 is approximately 0.2033.

To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means from a population with a known mean and standard deviation is approximately normal, as the sample size gets larger. In this case, we are given the population mean and standard deviation, so we can assume that the sample means are normally distributed.

The formula for the standard error of the mean is

SE = σ/√n

where σ is the population standard deviation, n is the sample size, and SE is the standard error of the mean.

Plugging in the given values, we get

SE = 6/√35 ≈ 1.013

Next, we need to standardize the sample mean using the z-score formula

z = (X - μ) / SE

where X is the sample mean, μ is the population mean, and SE is the standard error of the mean.

Plugging in the given values, we get

z = (21.5 - 22.34) / 1.013 ≈ -0.829

Now, we need to find the probability that a standard normal variable is less than -0.829. Using a standard normal distribution table or calculator, we find that this probability is approximately 0.2033

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The solution to the given set of equations is Infinite solutions.

We have the equation

R: -3y = -3x -9

S: y = x + 3

Now, solving the equation R and S as

-3y = -3x - 9

3y =  3x + 9

_________

   0 = 0 + 0

   0 = 0

Also, -3/1 = 3/(-1) = 9/(-3)

-3/1 = -3/1 = -3/1

Thus, the equation have Infinite many solutions.

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Answer:

Modeling the situation with a quadratic equation, it is found that:

The maximum height of the ball is of 60.2 feet.

The ball hits the ground after 3.39 seconds.

Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.

In which:

is the initial velocity.

is the initial height.

In this problem:

Height of 8 feet, thus .

Initial velocity of 32 feet per second,  

The equation is:

Which is a quadratic equation with .

The maximum height is the output of the vertex, which is:

Then, with the coefficients of this question:

The maximum height of the ball is of 60.2 feet.

It hits the ground at t for which , thus:

We want the positive value, so:

The ball hits the ground after 3.39 seconds.

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Step-by-step explanation:

Answer:

129: width

135:length

The idea of the Laffer Curve, as it is expressed mathematically, is that there is an optimal tax rate at which the government can maximize revenue. This concept is based on the idea that as tax rates increase, revenue collected by the government initially increases but eventually reaches a point at which further increases in tax rates lead to a decrease in revenue.

The Laffer Curve is used to analyze how economic policies may affect growth and stability by illustrating the trade-off between higher tax rates and revenue generation. It is often used as an argument to reduce the government's role in the economy, as increasing taxes beyond a certain point can be counterproductive.

Additionally, the Laffer Curve is related to the idea that aggregate supply increases when production costs decrease, as lower taxes can lead to lower production costs and, therefore, an increase in supply. This is a long answer that describes the various aspects of the Laffer Curve.

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Answer:

It would be 2=4.

Answer:

Step-by-step explanation: x=-2,2

Answer:

0.512

Step-by-step explanation:

0.2%x16=0.032

0.032x16= 0.512

We would need to flip the coin 107 times to obtain a 90% confidence interval with a width of at most 0.16 for the probability of flipping a head.

To answer this question, we can use the formula for the margin of error in a binomial proportion confidence interval, which is:

Margin of Error = z*sqrt(p*(1-p)/n)

Here, z is the z-score corresponding to the desired level of confidence (90% = 1.645), p is the estimated probability of flipping heads (which we assume to be 0.5 for a fair coin), and n is the sample size we need to determine.

We want the margin of error to be at most 0.16, so we can plug in these values and solve for n:

0.16 = 1.645*sqrt(0.5*(1-0.5)/n)

Squaring both sides and rearranging, we get:

n = (1.645/0.16)^2 * 0.5*(1-0.5)

n ≈ 84.18

So we would need to flip the coin at least 85 times to obtain a 90% confidence interval for the probability of flipping a head with a width of at most 0.16. Note that this assumes that the coin is actually fair – if it is biased towards heads or tails, we may need a larger sample size to achieve the same level of precision.

To find the required number of coin flips for a 90% confidence interval with a width of at most 0.16, we can use the formula for the margin of error in a proportion:

Margin of Error = Z * sqrt(p * (1-p) / n)

Here, Z is the Z-score corresponding to the desired confidence level (90%), p is the suspected probability of flipping a head (0.5, since we suspect the coin is fair), and n is the number of flips we want to find.

For a 90% confidence interval, the Z-score is approximately 1.645 (you can find this from a Z-table). The margin of error is half the width of the confidence interval, so in this case, it's 0.16 / 2 = 0.08.

Now, we can plug these values into the formula and solve for n:

0.08 = 1.645 * sqrt(0.5 * (1-0.5) / n)

Squaring both sides, we get:

0.0064 = 2.706025 * (0.5 * 0.5) / n

To isolate n, we can rearrange the equation:

n = 2.706025 * (0.5 * 0.5) / 0.0064

n ≈ 106.09

Since we cannot have a fraction of a coin flip, we round up to the nearest whole number. Thus, we would need to flip the coin 107 times to obtain a 90% confidence interval with a width of at most 0.16 for the probability of flipping a head.

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Answer:

∠3=∠159°

∠2=∠4=180-159=21°

∠1=180-21=159°

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Answer:

they give us a sense of where a score falls in relation to the mean of its population (in terms of standard deviation of its population), 2) they allow us to compare scores from different distributions, and 3) they can be transformed into percentiles.

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

find LCM

4,7,8,16=112

Answer:

Oslo

Step-by-step explanation:

It's colder in Oslo by 7 degrees.

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Answer:

To graph the image of T(10, -2) after a reflection over the x-axis, you simply need to flip the point vertically so that it lies on the opposite side of the x-axis.

The x-coordinate of the point will stay the same, and the y-coordinate will change sign.

Starting with the point T(10, -2), reflect it over the x-axis to obtain the image point T'(10, 2), which is 10 units to the right of the y-axis and 2 units above the x-axis.

So the graph of T(10, -2) after a reflection over the x-axis is the point T'(10, 2), as shown in the following diagram:

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     |

     |

     |

     |

------T'(10, 2)

     |

     |

------x-axis------

     |

     |

     |

     |

     |

     |

     |

Note that the x-axis is the line that runs horizontally through the middle of the diagram, while the y-axis is the line that runs vertically through the middle of the diagram. I hope this helps.