If you stand 57 feet from the base of a building, you need to look up at a 55° angle to see the top of
the building. What is the height of the building? Round your answer to the nearest tenth.

The result is not statistically significant.

To test the hypothesis is the mean SAT score is less than 1520 at 5% significance level.

The null hypothesis is

H₀ : μ ≥ 1520

The alternative hypothesis is

Hₐ : μ ≤ 1520

then the test statistic is,

t = (x - μ)/(s/√n)

 = (1501 - 1520)/(53/√20)

t = - 1.603

The t-test statistic is - 1.603.

Degree of freedom n - 1 = 20 - 1 = 19

Hence the t-critical value is -1.792.

The conclusion is that the t value corresponds to sample statistics is not fall in the critical region, so the null hypothesis is not rejected at 5% level of significance. There is insignificance evidence indicates that the mean SAT score is less than 1520.

The result is not statistically significant.

To know more about mean score here

https://brainly.com/question/16907497

#SPJ4

Answer:

0 ≤ x ≤ 18

Step-by-step explanation:

Let 'x' be the number of youth tickets purchased at the zoo and 'y' be the number of adult tickets purchased at the zoo.

At a zoo, youth tickets cost $5 and adult tickets cost $9. A group spent a total of $90 on tickets. We can write as

5x + 9y = 90

to find x we divide both side by 5

x = (90-9y)/5 =>  90/5 - 9y/5

x = 18 - 9y/5

The domain of the relationship is the possible set of values of x and y that satisfies the equation. The domain of this relationship is

0 ≤ x ≤ 18

At x = 0, it means only adult tickets were purchased.

At x = 18, it means only youth tickets were purchased.

Answer:

0 ≤ x ≤ 18

Step-by-step explanation:

got it correct on pluto

When using a frequency distribution to identify the interval containing the median, the most useful column is the cumulative frequencies (option d).

The cumulative frequencies provide the running total of the frequencies as you move through the intervals. The median is the middle value of a dataset, and it divides the data into two equal halves. By examining the cumulative frequencies, you can determine the interval that contains the median value.

The cumulative frequencies allow you to track the progression of frequencies as you move through the intervals. When the cumulative frequency exceeds half of the total number of observations (n/2), you have found the interval containing the median.

The cumulative frequencies help you identify this interval by showing you the point at which the cumulative frequency crosses or exceeds the halfway mark. By examining the interval associated with that cumulative frequency, you can determine the interval containing the median value.

Learn more about median here:

brainly.com/question/28060453

#SPJ11

Answer:

966.

Step-by-step explanation:

Think of the word "of" as a sign that you have to multiply.

Thus, you can divide 333.27 by 34.5%.

You derive 966.

- Hope this helped.

Answer: $46,619

»» 288.44 / 0.7%

»› 41,205

»» 45 x 120.33

»» 5,414

A=41,205

A=5,414

A=46,619

\(\color{yellow}{}\)

Answer:

The answer would be $46,619

Step-by-step explanation:

Someone already explained it pretty well, goodluck! :)

The outlier of 2 decreases the mean page count.

What is mean and median?

The mean is that the variety you get by dividing the total of a collection of values by the quantity of values within the set.

In distinction, the median is that the middle variety in an exceedingly set of values once those values square measure organized from smallest to largest.

Main Body:

From the picture we can  know that outlier of 2 does not effect the median page count.

But outlier of 2 decreases the mean page count.

it can be found out by taking mean

(1+2+3+2+1+2+2+1)/8= 1.75

and if we remove outlier of 2 ,then

(1+3+2+1+2+2+1)/7 = 1.86

Hence ,the outlier of 2 decreases the mean page count.

To know more about mean and median , visit:

https://brainly.com/question/14532771

#SPJ1

Answer:

the answer is d

Step-by-step explanation:

The values where f is discontinuous are x = 0 and x = 2, and in both cases, f is neither continuous from the left nor from the right.

To determine the points at which the function f(x) = √√(x+8) is discontinuous, we need to examine the behavior of the function at different values of x.

First, let's consider the domain of the function. Since we have a square root inside another square root, the expression under the first square root (x+8) must be greater than or equal to 0. This gives us x ≥ -8.

Now, let's look at the points where the function may be discontinuous:

At x = -8: This is the point where the inner square root becomes zero (√0), which is defined. Therefore, the function is continuous at x = -8.

At x = -∞: As x approaches negative infinity, the function approaches 0 (√0). Since the function is continuous at x = -8 and the square root function is continuous for non-negative values, the function is continuous for all x values less than -8, including negative infinity. So, the function is continuous on the interval (-∞, -8).

At x = 0: This is not within the domain of the function, as x must be greater than or equal to -8. Therefore, the function is not defined at x = 0.

At x = 2: This is within the domain of the function. However, when x = 2, the expression inside the inner square root (√(x+8)) becomes negative (√(2+8) = √10). The square root of a negative number is undefined in the real number system.

Therefore, the function is discontinuous at x = 2.

Based on the analysis above, the points of discontinuity for the function f(x) = √√(x+8) are x = 0 and x = 2.

From the graph, we can determine the nature of the discontinuities:

At x = 0, the function is not continuous from the left or from the right since it is not defined at x = 0.

At x = 2, the function is also not continuous from the left or from the right since the expression inside the inner square root becomes negative at x = 2.

So, the values where f is discontinuous are x = 0 and x = 2, and in both cases, f is neither continuous from the left nor from the right.

To learn more about values ,

https://brainly.com/question/843074

#SPJ4

The value of j in the scaled copy in the polygon is: 0.03.

When a figure is scaled, the corresponding dimensions of the new and original figures have a ratio that is the same because they are proportional to each other.

Polygon K and polygon L are similar polygons and therefore their corresponding side lengths are proportional. The ratio below would be created:

j/0.5 = 0.18/3

Cross multiply

j = (0.5 × 0.18)/3

j = 0.09/3

j = 0.03

Therefore, the value of j in the scaled copy in the polygon is: 0.03.

Learn more about scaled copy on:

https://brainly.com/question/9762240

#SPJ1

These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

To solve the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0, we need to simplify and rearrange the equation to its standard form and then solve for p.

Combining like terms, the equation becomes:

3p^2 - 10p + 5 = 0

Now, we can use the quadratic formula to solve for p. The quadratic formula states:

p = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 3, b = -10, and c = 5. Substituting these values into the quadratic formula, we have:

p = (-(-10) ± √((-10)^2 - 4 * 3 * 5)) / (2 * 3)

Simplifying further:

p = (10 ± √(100 - 60)) / 6

p = (10 ± √40) / 6

p = (10 ± 2√10) / 6

Now, we can simplify and find the two possible values of p:

p₁ = (10 + 2√10) / 6

p₂ = (10 - 2√10) / 6

These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

In simplified form, the solutions are:

p₁ = (5 + √10) / 3

p₂ = (5 - √10) / 3

For more questions on quadratic equation

https://brainly.com/question/1214333

#SPJ8

Answer: The value of the integral is $i=8\int_{1}^{e^{2}}t^2dt$

The given integral is $i=\int_{c}^{ }4x ds$ where the path c is parametrized by $c(t)=(t^2,2t,\ln t)$. Let us evaluate the integral.

The given integral can be written as,$$i = \int_c 4x ds = \int_{1}^{e^2} 4x\left(\sqrt{\left(\frac{dx}{dt}\right)^2+\left(\frac{dy}{dt}\right)^2+\left(\frac{dz}{dt}\right)^2}\right)dt$$Given that $c(t) = (t^2,2t,\ln t)$$$\frac{dx}{dt}=2t$$$$\frac{dy}{dt}=2$$$$\frac{dz}{dt}=\frac{1}{t}$$Hence,$$i = \int_{1}^{e^2} 4t^2\sqrt{(2t)^2+2^2+\left(\frac{1}{t}\right)^2} dt$$$$= 4\int_{1}^{e^2} t^2\sqrt{4t^2+1+\frac{1}{t^2}}dt$$$$= 8\int_{1}^{e^2} t^2\sqrt{t^2+\frac{1}{4}+\frac{1}{4t^2}}dt$$$$= 8\int_{1}^{e^2} t^2\left(t+\frac{1}{2t}\right)dt$$$$= 8\int_{1}^{e^2} t^3+\frac{1}{2}dt$$$$= 8\left[\frac{t^4}{4}+\frac{t}{4}\right]_{1}^{e^2}$$$$=8\left[\frac{e^8}{4}+\frac{e^2}{4}-\frac{1}{4}-\frac{1}{4}\right]$$$$=8\left[\frac{e^8+e^2-2}{4}\right]$$$$=\frac{2}{3}\left(e^8+e^2-2\right)$$Hence, the value of the integral is $\frac{2}{3}\left(e^8+e^2-2\right)$.

Know more about integral here:

https://brainly.com/question/31059545

#SPJ11

The required bearing angle of town B from Thomas is 75°.

We have,

Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.

Given that

Thomas is facing towards town A, which is at a bearing of 300°.

Implies that town A is 300° from north.

If Thomas turns 135° clockwise, then he faces towards town B,

The bearing angle will be 300+135 = 435°

Since, one complete round makes angle 360°, therefore

The required bearing angle = 435 - 360 = 75

The bearing angle of town B from Thomas is 75°.

To know more about Bearing angle on:

brainly.com/question/10682201

#SPJ1

Answer:

1.Line III is A, Line I is B, Line II is C; 2. 20 represents the Y-intercept, The 2 represents the slope

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

The active gathering of data from a primary source is observation. Observation of living things makes use of the senses. In science, observation can also entail the perception of information and the recording of that information using tools.

Because of ethical considerations or practical limitations, an observational study infers information from a sample to the population even when the researcher has no control over the independent variable.

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the possibility or effectiveness of something that has never been done before. Experiments show what happens when a certain component is modified, which sheds light on cause-and-effect relationships.

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

To learn more about Experimental Study refer to :

https://brainly.com/question/30363686

#SPJ4

The formula for the tangent line to f(x) = ln(x) at x = 2 is: y = (1/2)(x - 2) + ln(2)

The tangent represents the supplied function's instantaneous rate of change at a location.

The slope of the tangent at a location equals the function's derivative at the same position. The tangent slope of a function y = f x is d y d x.

The tangent and normal equations may be determined using the coordinate geometry formal of point-slope form.

The tangent equation is (y - y1) = m(x - x1), while the normal equation, passing through this same point and perpendicular to the tangent, is (y - y1) = -1/m (x - x1).

The formula for the tangent line to the function f(x) = ln(x) at x = 2 is given by:

y = f'(2)(x - 2) + f(2)

Plugging in the value f'(2) = 1/2 and f(2) = ln(2), we get:

y = (1/2)(x - 2) + ln(2)

For more questions on slope of the tangent

https://brainly.com/question/29263916

#SPJ4

Answer:

(-1,3)

Step-by-step explanation:

Thus;

When (-1,3) is placed in the relation 3x + y =0,the answer will be zero.

Let;

x= -1

y= 3

3(-1) + 3 =0

-3 + 3 = 0

(1,-3) ,(-2,6)(2,-6),(-1,3) are ordered pairs represent points on the graph of this equation 3x+y=0.

An equation of the line is defined as the linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line is y = mx + c, where m is the slope and c is the intercept cut by the y.

To calculate the ordered pair by satisfying the equation with each pair of points.

3x+y=0

For (1,-3)

3(1)-3=0   Yes

For (-2,6)

3(-2)+6=0  Yes

For (2,-6)

3(2)-6=0  Yes

For (-1,3)

3(-1)+3=0  Yes

For (6, -1)

3(6)-1=11 No

For (-6,1)

3(-6)+1=-11  No

Hence (1,-3) ,(-2,6)(2,-6),(-1,3) are ordered pairs represent points on the graph of this equation 3x+y=0.

To learn more on Equations click:

brainly.com/question/18831322

#SPJ2

Answer:

M/C

Step-by-step explanation:

So you divide the number of notebooks handed out (m) by the number of notebooks per pack (c) to get the number of packs.The number of packs is m/c

Approximately 601 asthmatic patients would need to be included in the study to estimate the true percentage within a 4% margin of error and a 95% confidence interval.

The given information provides a 95% confidence interval for the true percentage of asthmatic patients who experience breathing difficulties after taking benzalkonium chloride (BAC).

However, there are certain factors that can lead to erroneous inferences based on this confidence interval.

The confidence interval may lead to an erroneous inference due to the following reasons:

Small sample size: The sample size of 18 asthmatic patients is relatively small.

With a small sample, there is a higher chance of sampling variability, which may affect the accuracy of the confidence interval. A larger sample size would provide more reliable estimates.

Non-representative sample: The sample of asthmatic patients may not be representative of the entire population of asthmatic patients.

If the sample is not representative, the confidence interval may not accurately reflect the true percentage of patients who experience breathing difficulties after taking BAC.

Potential biases: There may be biases in the sample selection process or in the measurement of breathing difficulties.

Biases can introduce systematic errors that affect the validity of the confidence interval.

To estimate the true percentage of asthmatic patients who experience a significant drop in breathing capacity to within 4% with a 95% confidence interval, we need to determine the required sample size.

The formula to calculate the sample size for estimating proportions is n = (\(Z^2\) × p × q) / (\(E^2\)), where Z is the z-score corresponding to the desired confidence level, p is the estimated proportion, q is 1-p, and E is the desired margin of error.

In this case, we want a 95% confidence interval and a margin of error of 4%, so the z-score corresponding to a 95% confidence level is approximately 1.96.

The estimated proportion can be taken as 0.5 (assuming the worst-case scenario where the true proportion is 50%).

Plugging these values into the formula, we get:

n = (\((1.96)^2\) × 0.5 × 0.5) / (\((0.04)^2\)) ≈ 600.25

Therefore, approximately 601 asthmatic patients would need to be included in the study to estimate the true percentage within a 4% margin of error and a 95% confidence interval.

Learn more about confidence interval here:

https://brainly.com/question/13481020

#SPJ11

Answer:

some parts are missing.where is the taxable income

The answer for this problem is that the number is 31p

Answer:

I would say the square root of 48 is the odd one out because it is the only irrational number

All the other numbers can be written as p/q except sqrt 48

Answer:

Step-by-step explanation:

It Should be √48 because it is the only irrational number

Answer:

A linear function is written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

So any function of this shape, is a linear function, such that when graphed it is a straight line.

In this case, the function you wrote is:

Q: y = 1/3x + 2

Now, if the function is exactly what you wrote, then x is in the denominator:

y = 1/(3*x) + 2

Clearly, this is different than the general linear equation you can see above (here the variable is in the denominator) then in this case Q is non-linear.

If instead, the actual function Q is:

Q: y = (1/3)*x + 2

Then this is a linear equation, where the slope is 1/3 and the y-intercept is 2.

True, parabola consists of all the set of points that are equidistant from the fixed point and the fixed line.

As given in the question,

Given statement is: Parabola consist of set of all the points which are equidistant from fixed point and fixed line.

Therefore, parabola consists of all the set of points that are equidistant from the fixed point and the fixed line is a true statement.

Learn more about parabola here

brainly.com/question/21685473

#SPJ4

Answer:

h = 8.4

Step-by-step explanation:

38.64 = \(\frac{(5.5+3.7)h}{2}\)

38.64(2) = 9.2h

77.28 = 9.2h

h = 77.28/9.2

h = 8.4

Answer:

a, b, c

Step-by-step explanation:

The amount of cookies for each friend if Georgia had 18 cookies. She wanted to split these cookies up evenly among 3 friends and still have at least I cookie left over for her, is 5 2 / 3.

When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

For instance, 4 2 = 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.

Given:

Georgia had 18 cookies. She wanted to split these cookies up evenly among 3 friends and still have at least I cookie left over for her,

Calculate the number of cookies for each friend as shown below,

The number of cookies for each friend = 18 - 1 / 3

The number of cookies for each friend = 17 / 3

The number of cookies for each friend = 5 2 / 3

Thus, The amount of cookies for each friend is 5 2 / 3.

To know more about division:

https://brainly.com/question/27566440

#SPJ2

The correct option is option (a) $3,992.50. Pavi currently has a $3,992.50 credit on her current card.

The calculation of the provided data, according to the question, is as follows:

$8000 is the credit limit on the card.

Paid in Full = $2,500

$1,500 has been credited to the account.

The value of recent purchases made by Pavi is $3,000

Applied finance charges equal $7.50

The card's current balance is equal to $4,007.50.

Using the formula below, we can now determine the amount of credit that is now available on the card:

The credit line on the card = Available Credit - New Balance

By entering values into the formula provided, we obtain

Credit available on the current card: $8,000 - $4,007.50= $3,992.50.

Read more about Credit from:

https://brainly.com/question/29024957

#SPJ4

Answer:

Volume = ( About ) 2406.165 cm^3

Step-by-step explanation:

If you consider a cube or a rectangular prism, you could identify it's volume through the multiplication of it's Base by height. A pyramid has 1 / 3rd that volume, so in order to take a volume of the figure to the left, we would multiply Base * height and take 1 / 3rd of that;

\(Square Pyramid,\\Base ( Square ) = a^2, a = length = 17.2 cm\\Height = 24.4 cm\\\\Volume = 1 / 3 ( Base ) ( Height ),\\Volume = 1 / 3 ( ( 17.2 )^2 )( 24.4 ),\\Volume = 1 / 3( 295.84 )( 24.4 ),\\\\Volume = 98.6133333333( 24.4 ),\\Volume = 2406.16533333,\\\\Volume = ( About ) 2406.165\)

Solution ⇒ ( About ) 2406.165 cm^3

Hope that helps!

Answer:

Each egg costs $0.60

Each piece of toast costs $0.30

Step-by-step explanation:

Let's assume that the cost of a single egg is E

And the price of a toast as T

Kendra charges $1.50 for one toast and two eggs

The equation above will be

2E + T = $1.50

And the other equation is

E + T = $0.90

For the second equation, we make E the subject of the formula

E = 0.90 - T

Now substitute for this in equation 1

2E + T = 1.50

It will now be 2(0.90 - T) + T = 1.50

1.80 - 2T + T = 1.50

T= $0.30

price of one toast is $0.30

And now, for the price of an egg, we substitute T = 0.30 in the equation

E= $0.60

According to Weber's law, two items must differ in weight by "5 percent"of weight in order to detect a difference.

We are given that Weber's law

For weight discrimination, Weber’s law states that the JND is proportional to the weight of the stimulus.

The JND is defined as the smallest difference between two weights that can be detected by an observer.

The proportionality constant is known as Weber’s fraction and varies depending on the type of stimulus and the sensory modality involved.

For weight discrimination, Weber’s fraction is typically around 2-3%.

This means that two items must differ in weight by approximately 2-3% of their weight in order to detect a difference.

The difference of weight in percent is 5%, the correct option is A.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ4

Answer:

The answer is explained below

Step-by-step explanation:

I am going to list a series of points where it is important to learn how to perform matrix operations.

1. The first and most important is that calculators may not always be available, and even if you do have them there will be cases where they won't let you use them.

2. By performing the operation by hand it will allow you to understand the process in a better way, such as finding an inverse, if you do this with a calculator you will most likely not know what was done.

3. Although it seems basic, some calculators cannot display the elements of a matrix as fractions, which is important to understand the process.

4. There are special cases such as when an array could contain a variable and the calculator could not be used in this case.

5. Although in most cases the calculator can help us get out of the operation quickly, sometimes it is faster at hand and, most importantly, when performing the step by step, you understand the entire operation better.

INCLUDE:

Calculators may not always be available.

Finding an inverse by hand allows me to understand the process.

Calculators may not show the elements of a matrix as fractions.

Sometimes it is faster by hand.

A matrix could contain a variable.