Algebra expressions Quotient of 30 and a number (please hurry)

Using proportions, considering the total number of students, it is found that 216 boys to linking their school lunch.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 400 - 152 = 248 boys were surveyed. 32 said they liked the school lunch and 248 - 32 = 216 said no liking their school lunch.

More can be learned about proportions at https://brainly.com/question/14398287

#SPJ1

The equation of the tangent line to the graph of f at x = 0 is y = 25x.

The equation of the tangent line to the graph of f at the indicated x value can be found by taking the derivative of the function f and evaluating it at the given x value.

The derivative of y = 5sin⁻¹(5x) can be obtained using the chain rule. Let's denote the derivative as f'(x). Then, the equation of the tangent line is given by y = f'(x)(x - x₀) + f(x₀), where x₀ is the given x value.

To find the derivative, we differentiate the function y = 5sin⁻¹(5x) with respect to x. Using the chain rule, we have:

f'(x) = d/dx [5sin⁻¹(5x)]

= 5 * d/dx [sin⁻¹(5x)]

= 5 * (1/√(1 - (5x)²)) * d/dx [5x]

= 5 * (1/√(1 - 25x²)) * 5

Simplifying this expression, we have:

f'(x) = 25/√(1 - 25x²)

Now, substituting x = 0 into the equation, we have x₀ = 0:

f'(0) = 25/√(1 - 25(0)²)

= 25

Therefore, the equation of the tangent line is given by y = 25(x - 0) + 5sin⁻¹(5(0)), which simplifies to y = 25x.

To learn more about derivative click here:

brainly.com/question/29144258

#SPJ11

To find the volume of the right prism, we used the Pythagorean theorem to determine the height of the triangular base is 1.197 inches. We then used the formula V = Bh to calculate the volume, which was approximately 2.70 cubic inches.

To find the height of the prism, we need to use the information provided about the triangular base. Since the triangular base is equilateral with a dimension of 1.74 inches, the height of the triangle (and therefore, the height of the prism) can be found by using the Pythagorean theorem.

If we draw a line from the center of the base to the midpoint of one of the sides, we create a right triangle with hypotenuse 1.74 in (which is also the height of the triangle) and one leg equal to half the length of one of the sides of the triangle (since the base of the prism is a square with dimension 1.5 in).

Using the Pythagorean theorem, we can solve for the height of the triangle (and prism)

(1.74/2)² + (1.5/2)² = h²

0.8725 + 0.5625 = h²

h² = 1.435

h ≈ 1.197 inches

Now, we can use the formula V = Bh to find the volume of the prism

V = (1.5 x 1.5) x 1.197 ≈ 2.70 cubic inches

Therefore, the volume of the right prism is approximately 2.70 cubic inches.

To know more about Pythagorean theorem:

https://brainly.com/question/14930619

#SPJ1

Answer:

Step-by-step explanation:

A person invested $2,500 in an account growing at a rate allowing the money to double every 11 years. How long, to the nearest tenth of a year would it take for the

value of the account to reach $3,800?

The formula for exponential growth given as:

A(t) = Ao (1/2)^t/t½

A(t) = Amount after time t = $3,800

Ao = Initial amount invested = $2500

t = Time in years

t½ = Time it takes to double = 11 years

Hence,

3800 = 2500(1/2)^t/11

Divide both sides by 2500

3800/2500 = 2500(1/2)^t/11/2500

The value of z such that 0.08 of the area lies to the right of z is -1.41(rounded off to two decimal places)  found using standard normal distribution table.

In order to find the value of z such that 0.08 of the area lies to the right of z, we need to use a standard normal distribution table.

A standard normal distribution table is a table that lists the area to the left of a given Z-score, as well as the area to the right of that Z-score, between that Z-score and the mean (which is 0), and beyond that Z-score in both directions.

Let z be the value that we are looking for.

So, we have:P(Z > z) = 0.08To solve for z, we can use a standard normal distribution table.

Look up the probability 0.08 in the body of the table.

The closest probability in the body of the table is 0.0793.

The corresponding Z-score is 1.41. So we have:

P(Z > z) = 0.08

⇒ P(Z ≤ z) = 1 − P(Z > z)

⇒ P(Z ≤ z) = 1 − 0.08

⇒ P(Z ≤ z) = 0.92

By symmetry, the area to the right of z is also 0.08.

Therefore, the Z-score corresponding to the area to the right of z is -1.41.

Hence we have:z = -1.41 (round to two decimal places)

So, the value of z such that 0.08 of the area lies to the right of z is -1.41.

To know more about distribution, visit:

brainly.com/question/30404390

#SPJ11

Answer:

Step-by-step explanation:

This problem bothers on probability

Given that two dice are expected to give an outcome of sum greater than 8

But in the problem statement the first die is already settled since it is showing 6 already.

Now for the second die, the possible outcomes that will add up with the first die to produce a figure greater than 8 are (3,4,5,6)  

The probability of obtaining either of these numbers is 4/6= 2/3

Having the first die settled, this means that the probability of obtaining a sum of 8 is 2/3

Conclusion can they reach based on the above output when they set the significance level to be 0.10 is that we can not draw conclusions based on the above statistical output because the conditions are not met due to the extreme outliers.

A person with specific training in meteorology applies scientific principles to describe, comprehend, observe, or forecast atmospheric occurrences on earth and/or how the atmosphere impacts the planet's surface and life are meteorologists.

Given,

Meteorologists in Texas want to increase the amount of rain delivered by thunderheads by seeding the clouds. Without seeding, thunderheads produce, on average, 300 acrefeet. The meteorologists randomly selected 29 clouds which they seeded with silver iodide to test their theory that average acrefeet is more.

Conclusion can they reach based on the above output when they set the significance level to be 0.10 is,

e. We can not draw conclusions based on the above statistical output because the conditions are not met due to the extreme outliers.

To learn more about meteorologists, visit:

https://brainly.com/question/5145125

#SPJ4

Answer: i am certain that the answer is -6

Answer:

1.2 (if that’s wrong then it’d 1.3)

Step-by-step explanation:

Divide first since it’s rounding and when you get the answer round to the nearest tenth.

(n-1) x (n-2)! ways of seating arrangements are possible if Fred (a boy) and Carrie (a girl) must be seated next to each other.

A permutation is the act of putting things or numbers in a certain order. Combinations are a method of picking things or numbers from a set of objects or collections without regard for their order.

Let's say there are n seats in total.

Then, there are (n-1) gaps between the seats that Fred and Carrie can be placed in.

If we place Fred and Carrie in one of these gaps, there will be (n-2)! possible arrangements for the rest of the seats.

Therefore, there will be (n-1) x (n-2)! total possible seating arrangements for Fred and Carrie if they must be seated next to each other.

For more questions on Permutations and Combinations

https://brainly.com/question/28065038

#SPJ4

Answer:

Step-by-step explanation:

Answer:

y=-3.6+3x

Step-by-step explanation:

Answer:

AB² = AC² + BC²

Step-by-step explanation:

Since,

H² = A² + O²

The correct calculation of the response rate for the project is approximately 38.24% valid responses received compared to the total number of clients in the sample

To calculate the response rate for the survey, we need to consider the valid responses received compared to the total number of clients in the sample.

The total number of clients in the sample is 750.

The number of clients who responded to the survey is 260.

The number of invalid mailing addresses is 70.

To calculate the response rate, we first need to subtract the number of invalid addresses from the total number of clients in the sample:

Valid Clients = Total Clients - Invalid Addresses

Valid Clients = 750 - 70

Valid Clients = 680

The response rate can then be calculated by dividing the number of valid responses by the total number of valid clients and multiplying by 100 to express it as a percentage:

Response Rate = (Valid Responses / Valid Clients) * 100

Response Rate = (260 / 680) * 100

Response Rate ≈ 38.24%

To know more about response rate,

https://brainly.com/question/33492047

#SPJ11

The graph of the given equation is attached below.

The equation of a line in slope-intercept form is expressed as y = mx + b.

Given an xy plane, we are to plot the graph of the given equation

y = -2/3 x + 1

The given equation has a slope of -2/3 and a y-intercept of 1. This shows that the constructed line must cut the y-axis at the point (0, 1).

The graph of the equation is attached below.

Learn more on line graph here: https://brainly.com/question/26233943

#SPJ1

The number of blips in exactly one konk is 3 blips. found by using conversion factor.

we can use the given conversion factors:

- 28 konks = 1 foop

- 12 foops = 1 zark

- 1 zark = 20 neek

- 1 neek = 50 blips

To convert from konks to blips, we can follow this conversion chain:

1 konk -> (convert to foops) -> (convert to zarks) -> (convert to neeks) -> (convert to blips)

1 konk is equivalent to (28 konks/1 foop) * (12 foops/1 zark) * (1 zark/20 neeks) * (50 blips/1 neek) = 3 blips.

A conversion factor is a numerical ratio that represents the relationship between two different units of measurement, allowing for the conversion between them. It is used to multiply or divide a quantity to convert it from one unit to another. Conversion factors are derived from equivalences between different units and provide a way to express the same quantity in different units of measurement.

learn more about conversion factor here:

https://brainly.com/question/30166433

#SPJ11

Answer: hey it's the person you responded to so read

Step-by-step explanation:

what you said about my question was rude and uncalled for. I've seen easier on this place so watch your mouth. this site was made for people struggling with a question or topic and so they post a question for help. That's what I did. and I got something that you wouldn't want in your question, right? i don't understand people like you that do that. watch your mouth, and thanks for your time.

Answer:

qualitative and ordinal.

Step-by-step explanation:

They are both two types of qualitative data under Categorical data.

Nominal and ordinal are the levels of measurement for which data can be qualitative. Therefore, the correct option is option A, D.

A categorization that describes the type of information contained inside the importance attributed to variables is called level of measurement and scale of measure. The most well-known classification was created by psychiatrist Stanley Smith Stevens and included four levels or measurement scales: nominal, ordinal, interval, or ratio.

This system of defining several measurement levels originated within psychology and has drawn heavy criticism from academics in other fields. Additional classifications include those made by Chrisman, Mosteller, and Tukey. Nominal and ordinal are the levels of measurement for which data can be qualitative.

Therefore, the correct option is option A, D.

To know more about level of measurement, here:

https://brainly.com/question/28137201

#SPJ2

Answer: 6

Step-by-step explanation:

14-8=6

Answer:

the answer is 6 since it says fewer we'll be using subtraction or the minus sign so 14-8=6

The correct answer is A. Standard deviation measures the dispersion or variability around the expected value or mean of a data set. It is a commonly used statistical measure to quantify the spread of data points.

Standard deviation is calculated by taking the square root of the variance. The variance is the average of the squared differences between each data point and the mean. By squaring the differences, negative values are eliminated, ensuring that the measure of dispersion is always positive.

A higher standard deviation indicates greater variability or dispersion of data points from the mean, while a lower standard deviation suggests that the data points are closer to the mean.

On the other hand, the mean (option B) is a measure of central tendency that represents the average value of a data set. It does not directly measure the dispersion or variability around the mean.

The coefficient of variation (option C) is a relative measure of dispersion that is calculated by dividing the standard deviation by the mean. It is useful for comparing the relative variability between different data sets with different scales or units.

The chi-square test (option D) is a statistical test used to determine if there is a significant association between categorical variables. It is not a measure of dispersion around the expected value.

For more such questions on standard deviation.

https://brainly.com/question/24298037

#SPJ8

Answer:

I think it is B correct me if I am wrong

Step-by-step explanation:

Shia ranks the bundle (2,4) the lowest with a utility of 14.Given their income and prices, Shia would pick the bundle (4,2) as it maximizes their utility within their budget.

a) To determine the bundle that Shia ranks the lowest, we can calculate the utility for each bundle using the given utility function and compare the results.

Utility for each bundle:

U(4,4) = 6(4) + (1/2)(4) = 24 + 2 = 26

U(4,2) = 6(4) + (1/2)(2) = 24 + 1 = 25

U(2,4) = 6(2) + (1/2)(4) = 12 + 2 = 14

U(8,4) = 6(8) + (1/2)(4) = 48 + 2 = 50

U(5,4) = 6(5) + (1/2)(4) = 30 + 2 = 32

The bundle that Shia ranks the lowest is (2,4) with a utility of 14.

To determine the bundle Shia would pick given their income and prices, we need to calculate the expenditure for each bundle and find the bundle that maximizes their utility while staying within their budget.

Expenditure for each bundle:

Expenditure(4,4) = p1 * 4 + p2 * 4 = 10 * 4 + 25 * 4 = 160

Expenditure(4,2) = p1 * 4 + p2 * 2 = 10 * 4 + 25 * 2 = 90

Expenditure(2,4) = p1 * 2 + p2 * 4 = 10 * 2 + 25 * 4 = 120

Expenditure(8,4) = p1 * 8 + p2 * 4 = 10 * 8 + 25 * 4 = 200

Expenditure(5,4) = p1 * 5 + p2 * 4 = 10 * 5 + 25 * 4 = 165

Since Shia's income is $150, the bundle that Shia would pick is the one with the highest utility among the bundles that they can afford. In this case, Shia can afford the bundle (4,2) with an expenditure of $90, which is within their budget.

Therefore, Shia would pick the bundle (4,2).

Learn more about utility

brainly.com/question/31385674

#SPJ11

The correct answer is A. The null hypothesis is rejected in error.

In statistical hypothesis testing, a Type II error occurs when the null hypothesis is incorrectly retained or failed to be rejected when it is actually false.

In other words, a Type II error happens when the researcher concludes that there is no significant difference or relationship between variables when, in reality, there is.

It is a false negative result, as the researcher fails to detect a true effect or relationship.

Option A accurately describes Type II error, while the other options are not related to Type II error.

Option B refers to rejecting the research hypothesis, which is not a Type II error but rather a Type I error.

Option C refers to the study being underpowered, which may increase the likelihood of both Type I and Type II errors but is not a direct description of Type II error.

Option D mentions double-blinding, which is a methodological consideration and not directly related to Type II error.

Option E refers to accepting the research hypothesis in error, which is not a Type II error but rather a correct decision or Type I error.

To know more about hypothesis refer here:

https://brainly.com/question/32562440#

#SPJ11

Applying the exterior angle of a triangle theorem, m∠G = 40°.

According to the exterior angle theorem of a triangle, we have the following equation that is derived:

11x - 4 + 55 = 23x + 3

11x + 51 = 23x + 3

11x - 23x = -51 + 3

-12x = -48

-12x/-12 = -48/-12

x = 4

m∠G = 11x - 4 = 11(4) - 4

m∠G = 40°

Thus, applying the exterior angle of a triangle theorem, m∠G = 40°.

Learn more about the exterior angle of a triangle theorem on:

https://brainly.com/question/11356657

#SPJ1

Answer:

true

Step-by-step explanation:

because there's less humidity

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

Learn more about expressions here: https://brainly.com/question/28959918

#SPJ1

Answer:

26r^2 + 36r.

Step-by-step explanation:

Answer:

$142,000

Step-by-step explanation:

So we are given the average price per square foot and the number of square feet in a house.

If it costs $105.19 per square foot, we just have to multiply $105.19 to find how much the house should be priced at.

So the expression should be:

$105.19 × 1350

This should give you the answer of $142,006.5.

Since it's a decimal, we just round it up to 142,000

hope this makes sense!

According to the Pythagorean theorem, the square of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is 30 feet, so we have the equation:

x^2 + (x - 8)^2 = 30^2.

Simplifying the equation and solving for 'x', we find that the length of the pen is approximately 20 feet.

To find the length of the rectangular pen, we can use the Pythagorean theorem. By setting up an equation based on the given information and solving it, we determine that the length of the pen is approximately 20 feet. The Pythagorean theorem allows us to relate the length, width, and diagonal of a right-angled triangle, which helps us find the missing side length in this rectangular pen scenario.

Learn more about Rectangular here:

brainly.com/question/21308574

#SPJ11

To compute the gradient of the function \(\(f(x, y) = x^{13} + 11y\)\) , we differentiate the function with respect to \(\(x\)\) and \(\(y\)\) separately.

\(\(\frac{\partial f}{\partial x} = 13x^{12}\)\)

\(\(\frac{\partial f}{\partial y} = 11\)\)

So, the gradient of \(\(f(x, y)\)\) is given by \(\(\nabla f(x, y) = (13x^{12}, 11)\).\)

To evaluate the gradient at point \(\(P(0, -3)\),\) we substitute the values of \(\(x\)\) and \(\(y\)\) into the gradient:

\(\(\nabla f(0, -3) = (13(0)^{12}, 11) = (0, 11)\).\)

The gradient at point \(\(P\) is \((0, 11)\).\)

To find the directional derivative at point \(\(P\)\) in the direction of vector \(\(u = (2, 2)\),\) we compute the dot product of the gradient and the unit vector in the direction of \(\(u\):\)

\(\(D_u(f)(P) = \nabla f(P) \cdot \frac{u}{\|u\|}\),\)

where \(\(\|u\|\)\)  is the magnitude of vector \(\(u\).\)

The magnitude of vector  \(\(u\) is \(\|u\| = \sqrt{2^2 + 2^2} = \sqrt{8} = 2\sqrt{2}\).\)

Substituting the values into the formula, we have:

\(\(D_u(f)(P) = (0, 11) \cdot \frac{(2, 2)}{2\sqrt{2}} = \frac{0 + 22}{2\sqrt{2}} = \frac{22}{2\sqrt{2}}\).\)

Simplifying, we get:

\(\(D_u(f)(P) = \frac{11}{\sqrt{2}}\).\)

Therefore, the directional derivative at point \(\(P\)\) in the direction of vector \(\(u\) is \(\frac{11}{\sqrt{2}}\).\)

To know more about direction visit-

brainly.com/question/31396730

#SPJ11