Mike had 180 blue and red pencils. He had 45 blue. What percentage of his pencils are red.

Answer:

i got 9801-

Step-by-step explanation:

Answer:

The correct answer is 9,801.

If you want, you could do repeated addition:

99+99+99+99+99+99+99+99+99, and etc.

Or, you could simply multiply!

1) Line Up!

2) Multiply!

3) Get 9,801!

The maximum value of the data is given as follows:

75.

A box and whisker plot shows these five metrics from a data-set, listed and explained as follows:

The maximum value on the box plot is the end of the plot, hence it is of 75.

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The sum of the reciprocals of the two numbers is 0.5

Let the two numbers be x and y such that

x + y = 10

xy = 20

In x + y = 10, x = 10 - y

plugging in in xy = 20

(10 - y)y = 20

10y - y² - 20 = 0

y² - 10y + 20 = 0

solving the quadratic equation gives

y = 2.76 OR 7.24

sum of the reciprocal of the numbers

= 2.76⁻¹ + 7.24⁻¹

= 0.5

the sum is 0.5

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Answer:

A=1 B=2 C=7

Step-by-step explanation:

Look at the graph!!!!

Answer:

-1/2

Step-by-step explanation:

I think

The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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The answer is: Yes, all conditions for inference are met.

Answer:

y= -4/3x - 1/2 is the perpendicular line to y= 3/4x -1/2

Step-by-step explanation:

The slope would be the negative reciprocal of your current slope :)

+3/4 would turn into -4/3 and you wouldnt change the y intercept

hope this helps

Solving problems involving normal proportions requires careful attention to detail, as well as a good understanding of statistical concepts such as standardization and probability.

When solving a problem where you want to find normal proportions, you can follow the following steps:

Define the problem: Clearly define the problem you are trying to solve, including any relevant details such as the population, sample size, and the variable of interest.

Check assumptions: Check if the conditions for using normal distributions are met. The data should be continuous, the sample size should be large enough, and the distribution should be approximately normal.

Calculate the sample mean and standard deviation: If you are working with a sample, calculate the sample mean and standard deviation.

Standardize the data: Convert the data into standard normal distribution, by subtracting the mean from each observation and dividing by the standard deviation.

Determine the probability: Once the data has been standardized, you can use a standard normal distribution table or a calculator to determine the probability of the variable falling within a certain range or above/below a certain value.

Interpret the results: After determining the probability, interpret the results in the context of the problem. For example, you might conclude that there is a 95% chance that a randomly selected observation falls within a certain range, or that the variable of interest is higher than a certain value in 5% of cases.

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Rounded to the nearest whole number, Ruby will have run about 65 miles.

What is the finite geometric series?

A finite geometric sequence is a list of numbers (terms) with an ending; each term is multiplied by the same amount (called a common ratio) to get the next term in the sequence. For example the sequence 5, 10, 20, 40, 80, … 320 ends at 320. Each term is multiplied by 2 to get the next term.

Ruby runs 7 miles the first week, then 7 * 1.1 = <<71.1=7.7>>7.7 miles the second week.

Ruby runs 7.7 * 1.1 = <<7.71.1=8.47>>8.47 miles in the third week.

This pattern continues for 26 weeks. We can use the formula for finding the sum of an arithmetic series to find the total number of miles Ruby will run:

7 + (7 * 1.1) + (7 * 1.1^2) + ... + (7 * 1.1^25)

This simplifies to:

7 * (1 + 1.1 + 1.1^2 + ... + 1.1^25)

Using the formula for the sum of a finite geometric series, we have:

7 * (1 - 1.1^26) / (1 - 1.1)

This simplifies to:

7 * (-0.8439) / (-0.0909) = 7 * 9.3 = <<7*9.3=65.1>>65.1

Hence, Rounded to the nearest whole number, Ruby will have run about 65 miles.

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answer:

I forgot how to do this haven't done it in a while.

Step-by-step explanation:

Sorry I couldn't help.

\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{(-5)}}}\implies \cfrac{-6}{-3+5}\implies \cfrac{-6}{2}\implies -3\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{-3}(x-\stackrel{x_1}{(-5)})\implies y-10=-3(x+5) \\\\\\ y-10=-3x-15\implies y=-3x-5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

as you can see, the "b" part is -5, or namely the y-intercept is at (0 , -5).

Alex didn't answer it correctly, because if you see the part where it says  -5x - (-7...

it has two minus signs, one in front of the parantheses, and one behind it.

Since they cancel each other, the 7 would be positive.

We need to make the graph for the pair (x, y_1) and for the pair (x,y_2).

The graph for the two colums is:

We can see that the given points describe a line for each pair of points. These lines are parallel. Since parallel lines never cross, then there can be no intersection;then, for a system of equations that graphs as parallel lines, there can be no solution.

Therefore, the answer is NO SOLUTION. This kind of system is called INCONSISTENT.

We see that the graph of the function is concave upward on the intervals [π/2, 3π/2] and [5π/2, 4π], and concave downward on the intervals [0, π/2] and [3π/2, 5π/2].

Hence, we conclude that the point of inflection is the point (3π/2, 5).

For the given function f(x) = sin(2x) over the interval [0, 4π], let's first find its first and second derivative.The first derivative of f(x) is obtained by using the chain rule of differentiation as follows:f'(x) = d/dx [sin(2x)] = cos(2x) × d/dx (2x) = 2cos(2x)Therefore, f''(x) = d²/dx² [sin(2x)] = d/dx [2cos(2x)] = -4sin(2x)

Now, to find the point of inflection, we need to find the values of x for which f''(x) = 0.=> -4sin(2x) = 0=> sin(2x) = 0=> 2x = nπ, where n is an integer=> x = nπ/2For the interval [0, 4π], the values of x that satisfy the above equation are x = 0, π/2, π, 3π/2, 2π, and 5π/2. These values of x divide the interval [0, 4π] into six smaller intervals, so we need to test the sign of f''(x) in each of these intervals. Interval | 0 < x < π/2:f''(x) = -4sin(2x) < 0Interval | π/2 < x < π:f''(x) = -4sin(2x) > 0Interval | π < x < 3π/2:f''(x) = -4sin(2x) < 0Interval | 3π/2 < x < 2π:f''(x) = -4sin(2x) > 0Interval | 2π < x < 5π/2:f''(x) = -4sin(2x) < 0Interval | 5π/2 < x < 4π:f''(x) = -4sin(2x) > 0

Thus, we see that the graph of the function is concave downward on the intervals [0, π/2], [π, 3π/2], and [2π, 5π/2], and concave upward on the intervals [π/2, π], [3π/2, 2π], and [5π/2, 4π].The point of inflection is the point at which the graph changes concavity, i.e., the points (π/2, 1) and (3π/2, -1).

Next, for the function f(x) = 5sec(x - 2π), let's first find its first and second derivative.The first derivative of f(x) is obtained by using the chain rule of differentiation as follows:f'(x) = d/dx [5sec(x - 2π)] = 5sec(x - 2π) × d/dx (sec(x - 2π))= 5sec(x - 2π) × sec(x - 2π) × tan(x - 2π)= 5sec²(x - 2π) × tan(x - 2π)

Therefore, f''(x) = d²/dx² [5sec(x - 2π)] = d/dx [5sec²(x - 2π) × tan(x - 2π)] = d/dx [5tan(x - 2π) + 5tan³(x - 2π)] = 5sec²(x - 2π) × (1 + 6tan²(x - 2π))Now, to find the point of inflection, we need to find the values of x for which f''(x) = 0.=> 5sec²(x - 2π) × (1 + 6tan²(x - 2π)) = 0=> sec²(x - 2π) = 0 or 1 + 6tan²(x - 2π) = 0=> sec(x - 2π) = 0 or tan(x - 2π) = ±√(1/6)

For the interval [0, 4π], the values of x that satisfy the above equations are x = π/2, 3π/2, and 5π/2.

These values of x divide the interval [0, 4π] into four smaller intervals, so we need to test the sign of f''(x) in each of these intervals. Interval | 0 < x < π/2:f''(x) = 5sec²(x - 2π) × (1 + 6tan²(x - 2π)) > 0Interval | π/2 < x < 3π/2:f''(x) = 5sec²(x - 2π) × (1 + 6tan²(x - 2π)) < 0Interval | 3π/2 < x < 5π/2:f''(x) = 5sec²(x - 2π) × (1 + 6tan²(x - 2π)) > 0Interval | 5π/2 < x < 4π:f''(x) = 5sec²(x - 2π) × (1 + 6tan²(x - 2π)) < 0

Thus, we see that the graph of the function is concave upward on the intervals [π/2, 3π/2] and [5π/2, 4π], and concave downward on the intervals [0, π/2] and [3π/2, 5π/2].

Hence, we conclude that the point of inflection is the point (3π/2, 5).

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Answer:

Interest = $60.75

Amount = $510.75

Step-by-step explanation:

The formula for finding interest is;

Interest = Principal * Rate * Time

And here;

Principal = $450

Rate = 41/2% or 4.5%

Time = 3 years

Interest = \(\frac{450 * 45 * 3}{1000}\)

Divided by 100 because of the percentage of the rate but here I made it 1000 because I moved the decimal point in the 4.5 forward once which means I have to add 0 to the denominator.

              = \(\frac{45*45*3}{100}\)

             = \(\frac{6075}{100}\)

            = $60.75

Now the amount is simply the Principal + Interest which will be;

= $450 + $60.75

= $510.75

Answer:

- 1/3

Step-by-step explanation:

Answer:

We have the proportion: 8/10 = 100/y

We can solve for y by cross-multiplying.

That is, 8y = 100 * 10 Simplifying the right-hand side, 8y = 1000

Dividing both sides by 8 to solve for y, y = 125

Hence, the value of y is 125.

Finally, we have the expression: y = √80We can simplify this expression by factoring 80 into its prime factors:80 = 2 * 2 * 2 * 2 * 5

Taking the square root of 2 * 2 * 2 * 2, we have:√(2 * 2 * 2 * 2) = 2 * 2 = 4

Therefore, y = 4√5The value of y is 4√5.

Step-by-step explanation:

Hope this helps!! Have a good day/night!!

1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.

2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.

3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.

Even if we earned less than the standard deduction, we nonetheless file taxes since, regardless of their income, freelancers are always required to pay tax on their earnings.

Freelancer, freelancer, or freelance worker are phrases frequently used to describe someone who is self-employed and isn't necessarily long-term dedicated to a certain employer.

Others work independently or use websites or professional associations to find work.

Freelancers are occasionally represented by a business or a temporary agency that resells their services to clients.

Independent contractors must always pay taxes on their wages, regardless of how much they make.

The term "freelancing" is most frequently used in the culture and creative industries, and use of this term may indicate participation in these sectors, even though the term "independent contractor" would be used in a different register of English to designate the tax and employment classes of this type of worker.

Therefore, even if we earned less than the standard deduction, we nonetheless file taxes since, regardless of their income, freelancers are always required to pay tax on their earnings.

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The probability that at least half of the voters contacted supported the current governor is approximately 0.3322 or 33.22%.

The proportion of voters who voted for the current governor in the election can be determined using the formula

\(P=\frac{x}{n}\)

p is the proportion,

x is the number of voters who supported the current governor

n is the number of voters in the sample.

In this case, the sample size is 342, and we don't know the number of voters who supported the current governor.

Therefore, we can estimate the proportion using the sample proportion.

The sample proportion is obtained by dividing the number of voters who supported the current governor by the sample size.

Let us assume that half of the voters contacted supported the current governor.

Since we know that the sample size is 342, the number of voters who supported the current governor is 171, which is half of 342.

Therefore, the sample proportion is  \(p=\frac{171}{342}=0.5\)

In order to calculate the probability that at least half of the voters contacted supported the current governor, we need to use the normal distribution.

The normal distribution is a continuous probability distribution that is widely used to model real-world phenomena.

The normal distribution is characterized by two parameters: the mean and the standard deviation.

In this case, the mean of the normal distribution is given by the sample proportion, which is p = 0.5.

The standard deviation of the normal distribution can be calculated using the formula:

\(σ=sqrt\frac{p(1-p)}{n}\)

σ is the standard deviation,

p is the proportion, and

n is the sample size.

Using the values we have, we can calculate the standard deviation:

\(σ=sqrt\frac{0.5(1-0.5)}{342} =0.0253\)

We want to find the probability that at least half of the voters contacted supported the current governor, which means we want to find the probability that the sample proportion is greater than or equal to 0.5.

Using the normal distribution, we can standardize the sample proportion and find the probability that it is greater than or equal to 0.5.

The standardized score is given by the formula

\(z= \frac{(p-μ)}{σ}\)

z is the standardized score,

p is the proportion,

μ is the mean,

σ is the standard deviation.

Using the values we have, we can standardize the sample proportion:

\(z=\frac{0.5 - 0.5}{0.0253} =0\)

The probability of a standardized score being 0 is 0.5.

Therefore, the probability that the sample proportion is greater than or equal to 0.5 is 0.5 + (1 - 0.5) x 0.5 = 0.75.

However, this probability is for a normal distribution with a mean of 0.5 and a standard deviation of 0.0253.

We want the probability for a sample of 342 voters, so we need to adjust our answer using the continuity correction factor.

The continuity correction factor is used when we are approximating a discrete distribution with a continuous distribution.

In this case, the sample proportion is a discrete distribution because it can only take on certain values (such as 0.5, 0.51, 0.52, etc.).

However, we are using a continuous distribution (the normal distribution) to approximate the sample proportion.

Therefore, we need to adjust our answer using the continuity correction factor.

The continuity correction factor is given by the formula 0.5 - 0.5/n, where n is the sample size.

Using the continuity correction factor, we can adjust our answer:

\(0.75-\frac{0.5-0.5}{342} =0.3322\)

Therefore, the probability that at least half of the voters contacted supported the current governor in the last election when a telephone survey contacts 342 voters from the last election and asks if they voted for the current governor is approximately 0.3322 or 33.22%.

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Answer:

b = 30 degrees.

Step-by-step explanation:

Two angles are said to be complement of each other if their sum is 90 degrees

________________________

given

one angle is b

let other angle be x

given that  angle b is one-half the measure of its complement

thus, mathematically we can the above statement as

b = 1/2(x)

now sum of both the angle will be 90 degrees as they are complementary

b + x = 90

using b =  1/2(x)

=> 1/2(x) + x = 90

=> x/2 + x = 90

=> (x +2x)/2 = 90

=> 3x = 180

=> x = 180/3 = 60

thus,

b =  1/2(x) =  1/2(60) = 30

thus, measure of angle b is 30 degrees.

The integral for the surface area of the solid obtained by rotating the curve y = 2z^2 on the interval [1, 5] about the line z = -4 can be set up using the surface area formula for revolution. It involves integrating the circumference of each cross-sectional ring along the z-axis.

To calculate the surface area of the solid obtained by rotating the curve y = 2z^2 on the interval [1, 5] about the line z = -4, we can use the surface area formula for revolution:

SA = ∫[a,b] 2πy √(1 + (dz/dy)^2) dy

In this case, the curve y = 2z^2 is rotated about the line z = -4, so we need to express the curve in terms of y. Rearranging the equation, we get z = √(y/2). The interval [1, 5] represents the range of y-values. To set up the integral, we substitute the expressions for y and dz/dy into the surface area formula:

SA = ∫[1,5] 2π(2z^2) √(1 + (d(√(y/2))/dy)^2) dy

Simplifying further, we have:

SA = ∫[1,5] 4πz^2 √(1 + (1/4√(y/2))^2) dy

The integral is set up and ready to be evaluated.

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Answer:

1. 5.45

2. 0.94

Step-by-step explanation:

Answer:

1A)5.45

1B)0.94

Step-by-step explanation:

1A)

 4.2

+1.25

5.45

1B)

3.4-2.46

0.94

To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.

By calculating,

600/10=60 and 59 students which is less than 10% of the population.

A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.

Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values

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The usual range for the number of students who belong to an ethnic minority is [0.66, 5.94].

a) In this problem, the probability of a student being from an ethnic minority is 33%. Therefore, the probability of a student not being from an ethnic minority is 67%.

We are required to find the probability that 2 out of the 10 selected students belong to an ethnic minority which is represented as:

\(P(X = 2) = (10 C 2)(0.33)^2(0.67)^8P(X = 2)\)

= 0.0748

To determine if this probability is unusually low, we need to compare it to a threshold value called the alpha level. If the probability obtained is less than or equal to the alpha level, then the result is considered statistically significant. Otherwise, it is not statistically significant. Usually, an alpha level of 0.05 is used.

Therefore, if P(X = 2) ≤ 0.05, then the result is statistically significant. Otherwise, it is not statistically significant.P(X = 2) = 0.0748 which is greater than 0.05

Therefore, it is not statistically significant that 2 out of the 10 students belong to an ethnic minority.

b) Mean and Standard Deviation:Binomial Probability Distribution:

The mean and standard deviation for a binomial probability distribution are given as:Mean (μ) = npStandard Deviation (σ) = √(npq)where q is the probability of failure.

In this problem, n = 10 and p = 0.33. Therefore, the mean and standard deviation are:

Mean (μ) = np

= 10(0.33)

= 3.3Standard Deviation (σ)

= √(npq)

= √(10(0.33)(0.67))

= 1.32Usual Range:

Usually, the range of values that are considered usual for a binomial probability distribution is defined as follows:

Usual Range = μ ± 2σUsual Range

= 3.3 ± 2(1.32)Usual Range

= 3.3 ± 2.64Usual Range

= [0.66, 5.94]

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The maximum difference in radius for 295/75R22.5 trailer tires is 0.625 inches.

The tire size 295/75R22.5 represents certain measurements. The first number, 295, refers to the tire's width in millimeters. The second number, 75, represents the aspect ratio, which is the tire's sidewall height as a percentage of the width. The "R" stands for radial construction, and the number 22.5 denotes the diameter of the wheel in inches.

To calculate the maximum difference in radius, we need to determine the difference between the maximum and minimum radius values within the given tire size. The aspect ratio of 75 indicates that the sidewall height is 75% of the tire's width.

To find the maximum radius, we can calculate:

Maximum Radius = (Width in millimeters * Aspect Ratio / 100) + (Wheel Diameter in inches * 25.4 / 2)

For the given tire size, the maximum radius is:

Maximum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 388.98 mm

Similarly, we can find the minimum radius by considering the minimum aspect ratio value (in this case, 75) and calculate:

Minimum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 368.98 mm

The difference in radius between the maximum and minimum values is:

Difference in Radius = Maximum Radius - Minimum Radius ≈ 388.98 mm - 368.98 mm ≈ 20 mm

Converting this to inches, we have:

Difference in Radius ≈ 20 mm * 0.03937 ≈ 0.7874 inches

Therefore, the maximum difference in radius for 295/75R22.5 trailer tires is approximately 0.7874 inches, which can be rounded to 0.625 inches.

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Answer:

The answer is CD and EF or C.)

Step-by-step explanation:

They are both parallel to each other on the graph.

Hope this helped.

A brainliest is always appreciated.

Answer:

x= 20

Step-by-step explanation:

a flat angle is, in terms of geometry, the space between an intersection between two lines whose opening measures 180 degrees or 180º. Since the angle is 180º there is no difference between two lines or a line and we can say that the angles in a straight line always add up to 180º.

Step 1

define

according to the graph

3x+80+2x=flat angle=180°

3x+80+2x=180°

Step 2

solve for x

3x+80+2x=180°

5x+80=180

subtract 80 in each side

5x+80-80=180-80

5x=100

divide by 5

(5x)/5=100/5

x=20

happy to help:)

It is important to understand that a power function has the form y = kx^n, where k and n are constants. Based on the given data, it is clear that there is a relationship between the x and y variables that can be modeled using a power function.

However, without knowing the purpose of the experiment or the specific research question, it is difficult to determine the best course of action for the experimenters. If the purpose of the experiment is to simply observe and analyze the relationship between the x and y variables, then the experimenters can proceed with the data as is. They can use the power function to make predictions and draw conclusions about the relationship between the variables.

Finally, based on the shape of the power function trendline, it appears that there may be a gap in the data between the x values of 0.08 and 0.1. To address this gap, the experimenters may need to take more data points in this range. By filling in this gap, they can obtain a more complete picture of the relationship between the variables and create a more accurate power function model. However, it is important to ensure that the additional data points are representative of the overall data and do not lead to overfitting. Overall, the experimenters should carefully consider their research question and the purpose of the experiment before deciding how to proceed with the given data.

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Answer:   B

Step-by-step explanation:

y = mx + mc

The perpendicular will have slope -1/m and intercept mc, which is

y = (-1/m)x + mc

For the answers you have to factor out a -1/m from both terms:

\($y = -\frac 1m x + mc \cdot -m \cdot -\frac 1m$\\\)

\($y = -\frac 1m (x + mc \cdot -m)$\)

\($\boxed{\;\textbf{(B)}\ \,y = -\frac 1m (x - m^2 c)\;}$\)