brainllest and 10 pionts PLEASE hurry

Answer:

h = 440.94 feet

Step-by-step explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)

So, the approximate height of the building is 440.94 feet

The given function is f(x) = -3x^2 + 2x + 3.

The interval(s) over which the function f(x) = -3x^2 + 2x + 3 is continuous is: x ∈ (-∞, ∞)

Steps to find the interval notation of continuous function:

For a given function, check if it has any discontinuities such as a vertical asymptote, a jump discontinuity, or a removable discontinuity.

If the function does not have any such discontinuities, then the function is continuous for all real values of x.

Write the answer using interval notation.

The given function is a polynomial function and does not have any vertical asymptotes, jump discontinuities, or removable discontinuities. Therefore, the function is continuous for all real values of x, and the interval notation for the continuous function is x ∈ (-∞, ∞).

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Answer:

1:4 and 25%

Step-by-step explanation:

For every 4 items 1 medium sized item is bought. And that means that its 1/4 of all items bought, which can be converted to 25% medium items.

The probability of the spinner landing on 2 reds is P ( 2 Reds ) = 1/8

Given data ,

To find the probability of spinning two reds, we need to calculate the probability of spinning a red on the first spin and then multiply it by the probability of spinning a red on the second spin.

The probability of spinning a red on the first spin is 1/4 since there is one red section out of four equal sections.

Now , the value of P ( R ) = 1/4

when the spinner is spun twice ,

P ( A ) = P ( R ) P ( R )

P ( A ) = 1/4 ( 1/4 )

On simplifying , we get

P ( A ) = 1/8

Hence , the probability is P ( A ) = 1/8.

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The equation of the graph in blue mark is

Transformation is a term used in mathematics to refer to the movements made by objects such as graphs.

Translation refers to a type of transformation that involve a linear movement.

Movements as seen in translation includes

The up and down movements are on the vertical direction controlled by the y coordinate. While the left and right movements are on the horizontal direction controlled by the x coordinate.

The translation in the graph is a movement 4 units to the right and this is represented as equation to be g(x) = (x - 4)²

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Therefore, the annual annuity payment can be approximately $6,069,727.

To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:

PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]

Where:

PMT = Annual annuity payment

PV = Present value of the annuity

r = Annual interest rate

n = Number of periods

Given:

PV = $230 million

r = 8% = 0.08

n = 40 years

Using the formula, we can calculate the annual annuity payment:

PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]

PMT ≈ $6,069,727

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The value of x in the given linear equation is determined as 5.

The given parameters;

x + 3 = 2x - 2

To determine the value of x, make x the subject of the formula;

x + 3 = 2x - 2

collect like similar terms together;

3 + 2 = 2x - x

5 = x

x = 5

Thus, the value of x in the given linear equation is determined as 5.

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Answer:

x=11/3

Step-by-step explanation:

I took the quiz

Answer:

03

Step-by-step explanation:

03

Answer:

https://dlsfile.com/dd/MTQ1ODE5dnJpZ3doanhobV8zNDEzMjU

Step-by-step explanation:

I would help you.. but after what u did I'd rather do my work instead then helping you.. and see how it feels

GGFCTVBHBGVGBHTVfhjdcnjddjhfbvncdfbvf

DFGTBHGVFGHNHYJ  dhnchvfdhngvjgf

Answer:

The amount of steel used = 94.38 \(m^{2}\)

Step-by-step explanation:

Height of the tank = 4.5 m.

Diameter of the tank = 4.2 m.

But,

radius = \(\frac{diameter}{2}\)

           = \(\frac{4.2}{2}\)

radius  = 2.1 m

Total surface area of a cylinder = 2\(\pi\)rh + 2\(\pi\)\(r^{2}\)

                                      = 2\(\pi\)r(r + h)

                                      = 2 x \(\frac{22}{7}\) x 2.1 (2.1 + 4.5)

                                      = 44 x 0.3 (6.6)

                                      = 87.12

Total surface area of a cylinder = 87.12 \(m^{2}\)

Since \(\frac{1}{12}\) of the steel was wasted, then;

\(\frac{1}{12}\) x 87.12 = 7.26 \(m^{2}\)

Actual area of steel sheet used = 87.12 + 7.26

                                                     = 94.38 \(m^{2}\)

Thus, 94.38 \(m^{2}\) of steel was used in making the tank.

A simple random sample of size n consists of n individuals from the population chosen in such a way that every possible sample of size n has an equal chance to be selected.

Concept: Simple random sampling is a type of probability sampling in which the researcher randomly selects a subset of participants from a population. Each member of the population has an equal chance of being selected.

Simple random sampling works best if you have a lot of time and resources to conduct your study, or if you are studying a limited population that can easily be sampled.

In some cases, it might be more appropriate to use a different type of probability sampling:

Systematic sampling involves choosing your sample based on a regular interval, rather than a fully random selection. It can also be used when you don’t have a complete list of the population.

Stratified sampling is appropriate when you want to ensure that specific characteristics are proportionally represented in the sample. You split your population into strata (for example, divided by gender or race), and then randomly select from each of these subgroups.

Cluster sampling is appropriate when you are unable to sample from the entire population. You divide the sample into clusters that approximately reflect the whole population, and then choose your sample from a random selection of these clusters.

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The test statistic value is approximately 9.69.

To calculate the test statistic for this problem, we will use the following formula:
Test statistic (z) = (p_sample - p_population) / √(p_population * (1 - p_population) / n)
Where:
- p_sample is the proportion of voters who support the taxpayer-funded free college program in the sample (375/610)
- p_population is the proportion of voters who oppose making all U.S public colleges free according to the 2019 Quinnipiac University poll (58% or 0.58)
- n is the sample size (610)
First, let's find p_sample:
p_sample = 375/610 = 0.6148
Now we need to find the proportion of voters who support the program in the population, since we know that 58% oppose it:
p_population = 1 - 0.58 = 0.42
Now we can plug these values into the test statistic formula:
z = (0.6148 - 0.42) / √(0.42 * (1 - 0.42) / 610)
z = 0.1948 / √(0.2436 / 610)
z = 0.1948 / 0.0201
z ≈ 9.69
The test statistic value is approximately 9.69.

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Answer:

You save 5.6 dollars.

Step-by-step explanation:

10%

The way we can calculate 10% of a number is to simply move its decimal point down one.

So for instance, 56.00, we move it one decimal place down, getting us 5.60.

1%:

This works for 1% as well, except we move 2 decimal points down instead of 1.

Using these 2 we can very easily find any percent.

Want to find 17% of 99?

Well that sounds like some rotten long division :(.

Actually, though, this is quite easy.

10% of 99 would be 9.9

1% of 99 would be 0.99

To find 17%, just multiply 0.99 by 7.

This is 6.93, you can just make 0.99 1, multiply it by 7, then subtract 0.07 from it.

Add the 9.9 and 6.93 and you get 16.83.

I did this all in my head, and once you practice this, you could calculate this even quicker than with a calculator!

Hope this helps!

The type of transformation and scale factor as required are;

16) Rotation

17) Reflection

18) Dilation

19) n = 5

20)P = r = 4

There are different types of transformation as follows;

1) Translation: This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant. In a translation, each point of the shape must be moved in the same direction and for the same distance

2) Dilation: This type of translation expands or contracts the object by keeping its orientation or shape the same. This is also known as resizing.

3) Rotation: This type of transformation has an object about a fixed point without changing its size or shape.

4) Reflection: This type of translation is called reflection because it flips the object across a line by keeping its shape or size constant.

16) This transformation is rotation based on the definitions above.

17) This type of transformation is a reflection as it is like the image was flipped across a line more like a mirror image.

18) This called dilation as the scale factor was adjusted to produce the new image.

19) Scale Factor = 6/3 = 2

Thus;

n = 10/2 = 5

20) Scale factor = 12/9 = 4/3

Thus;

P = r = 3 * 4/3

= 4

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The probability that there will be an alarm within the next 60 days, given an average activation rate of once every 200 days, is approximately 0.259 or 25.9%.

To find the probability that there will be an alarm within the next 60 days, we need to calculate the cumulative distribution function (CDF) of the exponential distribution.

Given that the average time between activations is 200 days, we can calculate the rate parameter (λ) of the exponential distribution as λ = 1 / 200.

The probability of an alarm occurring within the next 60 days can be found by evaluating the CDF of the exponential distribution at 60 days.

P(Alarm within 60 days) = 1 - e^(-λ * 60)

Substituting the value of λ, we have:

P(Alarm within 60 days) = 1 - e^(-1/200 * 60)

Using a calculator, we can compute this probability.

P(Alarm within 60 days) ≈ 1 - e^(-0.3) ≈ 0.259

Therefore, the probability that there will be an alarm within the next 60 days is approximately 0.259, or 25.9%.

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Karie's error was underestimating the quotient and incorrectly obtaining -8 instead of the correct quotient of \(-\frac{16}{22}\).

Karie's estimated quotient of -8 is incorrect when dividing \(-12\frac{1}{5} by 4 \frac{2}{5}\).

To find the correct quotient, we need to convert the mixed numbers to improper fractions.
First, convert \(-12 \frac{1}{5}\) to an improper fraction:

\(-12 \frac{1}{5} = \frac{x}{y} -\frac{61}{5}\)
Next, convert \(4 \frac{2}{5}\) to an improper fraction:

\(4 \frac{2}{5} = \frac{22}{5}\)
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, \(-\frac{61}{5}\) divided by \(\frac{22}{5}\) is the same as \(-\frac{61}{5}\) multiplied by \(\frac{5}{22}\).
Multiply the numerators together and the denominators together:
\(-\frac{61}{5}\) × \(\frac{5}{22} = -\frac{61}{22}\).
Therefore, the correct quotient is \(-\frac{61}{22}\), not -8.
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Karie's error was incorrectly estimating the quotient as -8 instead of calculating the correct answer of \(- \frac{61}{22}\). Karie's error can be described as an incorrect estimation of the quotient.

To understand her error, let's calculate the actual quotient:

    \(-12\frac{1}{5}\) divided by \(4\frac{2}{5}\) can be rewritten as

    \(\frac{(-12 + \frac{1}{5} )}{(4 + \frac{2}{5}) }\)

To simplify this expression, we need to find a common denominator. The common denominator of 5 and 5 is 5, so we rewrite the expression as

    \(\frac{(-\frac{61}{5})}{(\frac{22}{5})}\)

Next, we can multiply the first fraction by the reciprocal of the second fraction.

    \([-(\frac{61}{5})] \times [(\frac{5}{22})]\)

\(= - \frac{61}{22}\)

Therefore, the actual quotient is \(- \frac{61}{22}\), which is not equal to -8.

Karie's error was overestimating the quotient. Instead of calculating the precise answer of \(- \frac{61}{22}\), she estimated it as -8. This is a significant difference from the actual result.

In conclusion, Karie's error was incorrectly estimating the quotient as -8 instead of calculating the correct answer of \(- \frac{61}{22}\).

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From a class of 20 students, there are 6,840 ways to select a committee consisting of a president, vice-president, and secretary. This calculation is based on the concept of permutations, where the number of choices at each step is multiplied to find the total number of possibilities.

To determine the number of ways to select a committee consisting of a president, vice-president, and secretary from a class of 20 students, we can use the concept of permutations.

The president position can be filled by selecting one student from the 20 available. After the president is selected, the vice-president position can be filled by choosing one student from the remaining 19 students. Finally, the secretary position can be filled by selecting one student from the remaining 18 students.

The number of ways to make these selections is calculated by multiplying the number of choices at each step:

Number of ways = 20 * 19 * 18 = 6,840

Therefore, there are 6,840 ways to form the committee with a president, vice-president, and secretary from a class of 20 students.

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According to the information of the graph we can infer that Neighborhood A appears to have a bigger family size.

According to the information we can infer that the average family size in Neighborhoods are:

Additionally, the largest family size in Neighborhood A is 6, whereas the largest family size in Neighborhood B is 6 as well. These facts indicate that, on average, and in terms of the maximum family size, Neighborhood A has a larger family size compared to Neighborhood B.

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The correct number line representation is option B.

what is number line ?

The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.

Tomas weight cannot be equal to 145 pounds

closed dot on the number line represents "145 included"

Open dot on the number line represents "145 not included"

Tomas weight  must be greater than 145 pounds

On the number line, the values increase from left to right

So, the correct number line representation is option B.

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If multiplying 2 negative integers then it's a positive

If multiplying 2 positive integers it's positive

Answer: I hope this is helpful

Step-by-step explanation:

The proceeding pattern is summarized in the following rule for multiplying integers. Rule for Multiplying Two Integers: TO MULTIPLY INTEGERS WITH THE SAME SIGN, multiply the absolute value of the factors. The product is positive.

The dimensions that minimize the cost of the material is a radius of 1.091 meters and a height of 3.637 meters

We are given the capacity of the cylindrical container as 10 m³.The surface area of the container = (2πrh + 2πr²)Here r is the radius and h is the height. We want to minimize the cost of the materials used to produce the container. We are told that the top and bottom of the container are to be made of a material that costs $20 per square meter, while the side of the container is to be made of a material costing $15 per square meter.The cost function, C = 20(2πr²) + 15(2πrh) = 40πr² + 30πrhThe volume, V = πr²hFrom the given information, we know that the volume of the container is 10 m³. Thus we can rewrite the volume in terms of r or h.V = πr²h = 10So, h = 10/πr²We can then substitute h in terms of r in the cost function to get a function in one variable.C = 40πr² + 30πr(10/πr²) = 40πr² + 300/rThe cost function is a polynomial of degree 2 and we can find its derivative.C' = 80πr - 300/r²We can set the derivative to zero to find the critical points of the cost function.80πr - 300/r² = 0r⁻²(80πr³ - 300) = 0r³ = 300/80πr³ = 300/(80π)Since r³ = V/π, we getr = (10/π)^(1/3) ≈ 1.912r ≈ 1.091mHence, h = 10/(πr²) ≈ 3.637mTherefore, the dimensions that minimize the cost of the material is a radius of 1.091 meters and a height of 3.637 meters.

We can solve the problem in the following steps:Step 1: Determine the surface area of the container.Surface area, A = (2πrh + 2πr²)Where r is the radius and h is the height of the cylindrical container.Step 2: Determine the cost of the materials used to produce the container.The top and bottom of the container are to be made of a material that costs $20 per square meter, while the side of the container is to be made of a material costing $15 per square meter.Thus, the cost of the material used is given byC = 20(2πr²) + 15(2πrh) = 40πr² + 30πrhStep 3: Relate the cost function to the volume of the container.The volume of the cylindrical container is given byV = πr²hSince the volume of the container is known, we can writeh = V/(πr²)Step 4: Rewrite the cost function in terms of a single variable.The cost function can be written asC(r) = 40πr² + 30πr(V/πr²) = 40πr² + 30V/rStep 5: Find the critical points of the cost function.We find the derivative of the cost function as follows:C'(r) = 80πr - 30V/r²To find the critical points, we set the derivative to zero:C'(r) = 0 ⇔ 80πr - 30V/r² = 0 ⇔ 80πr³ = 30V ⇔ r³ = (3/8)(V/π)Since V = 10 m³, we getr³ = (3/8)(10/π) ⇔ r ≈ 1.912mWe note that this gives us a local minimum, not necessarily a global minimum. To check that this is a minimum, we find the second derivative of the cost function.C''(r) = 80π + 60V/r³Since r³ > 0, we have C''(r) > 0 for all r, which implies that the critical point is a minimum.Step 6: Find the dimensions that minimize the cost of the material.We found the critical point to be at r ≈ 1.912m. To find the corresponding height, we useh = V/(πr²) = 10/(π(1.912)²) ≈ 3.637mTherefore, the dimensions that minimize the cost of the material is a radius of 1.091 meters and a height of 3.637 meters.

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Answer:

600 meters

Step-by-step explanation:

The probability that it takes Lizzie at most 5 minutes to finish the next apple is 0, and the probability that it takes Lizzie less than 9.5 minutes to finish the next apple is 0.5.

The probability that it takes Lizzie between 7.6 and 10.2 minutes to finish the next apple is 0.52, and the probability that it takes Lizzie fewer than 7.6 minutes or more than 10.2 minutes to finish the next apple is 0.24.

A. The distribution of x is uniformly allotted among 6 and eleven minutes, represented with the aid of x ~ u(6,11).

B. To locate the chance that it takes Lizzie a maximum of 5 mins to finish the next apple, we want to discover the region beneath the probability density function (PDF) from 6 to five. Since Lizzie can not finish the apple in much less than 6 minutes, this possibility is zero.

C. To locate the possibility that it takes Lizzie much less than 9. Five minutes to finish the subsequent apple, we want to discover the vicinity below the pdf from 6 to 9. 5. The possibility is calculated as:

p(x < 9. 5) = (9. 5 - 6) / (11 - 6) = 0. 5

D. To discover the probability that it takes Lizzie between 7. 6 and 10. 2 minutes to complete the subsequent apple, we need to locate the location below the pdf from 7. 6 to 10. 2. The chance is calculated as:

p(7. 6 < x < 10. 2) = (10. 2 - 7. 6) / (11 - 6) = 0. 52

E. To discover the possibility that it takes Lizzie fewer than 7. 6 mins or greater than 10. 2 mins to complete the next apple, we want to locate the location below the pdf out of doors in the range from 7. 6 to 10. 2. This may be calculated with the aid of locating the region below the pdf from 6 to 7. 6 and from 10. 2 to 11, then adding them collectively:

p(x < 7. 6 or x > 10. 2) = [(7. 6 - 6) + (11 - 10. 2)] / (11 - 6) = 0. 24

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Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

According to the question The tax for a house assessed at $160,000 would be $4,000.

To find the tax for a house assessed at $160,000 using the same tax rate, we can set up a proportion based on the assessed values and taxes paid:

\(\(\frac{\text{{Assessed value of house 1}}}{\text{{Tax paid for house 1}}}\) = \(\frac{\text{{Assessed value of house 2}}}{\text{{Tax for house 2}}}\)\)

Substituting the given values, we have:

\(\(\frac{120,000}{3,000} = \frac{160,000}{x}\)\)

Cross-multiplying and solving for \(\(x\)\), we get:

\(\(x = \frac{160,000 \times 3,000}{120,000}\)\)

Calculating the expression on the right side, we find:

\(\(x = \$4,000\)\)

Therefore, the tax for a house assessed at $160,000 would be $4,000.

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Answer:

...

Step-by-step explanation:

(x-1) will cancel each other so the answer is the last one

Answer:

1 1/2 ---------> 3/4

x --------------> 9

We clear the value of x:

x = ((9) / (3/4)) * (1 1/2)

Rewriting we have:

x = ((9) * (4/3)) * (1 1/2)

x = (36/3) * (1 1/2)

x = (12) * (1 1/2)

x = (12) * (3/2)

x = 18

Answer:

you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

About 25% of gyms in Shanesville have fewer than 56 gym members.

The correct answer is option (2).

"Interquartile range = Q3 - Q1"

"It is a number or ratio that can be expressed as a fraction of 100."

For this example,

Q1 = 56

Q2 (median) = 64

Q3 = 70

So, the interquartile range is,

⇒ 70 - 56 = 14

Let 'x' be the number of gyms in Shanesville have fewer than 56 gym members.

so, the percent of gyms in Shanesville have fewer than 56 gym members would be,

⇒ 14 / x = 56

⇒ x = 14 / 56

⇒ x = 1/4

⇒ x =  0.25

The percentage of 'x' would be,

⇒ 100 × 0.25 = 25 %

Therefore, about 25% of gyms in Shanesville have fewer than 56 gym members.

The correct answer is option (2).

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