Casey’s bedroom is shaped like a square. The distance between opposite corners is 12√2 feet. How long is each side of the bedroom?

Answers

Answer 1

Answer:

  12 feet

Step-by-step explanation:

You want the length of the side of a square with a diagonal length of 12√2.

Diagonal of a square

The diagonal of a square is the hypotenuse of a right triangle with equal-length sides. Such an isosceles right triangle has side lengths in the ratio ...

  1 : 1 : √2

That is, the hypotenuse is √2 times the side length.

The given hypotenuse is 12√2, so the side length is 12.

Each side of the bedroom is 12 feet.


Related Questions

an information technology company claims that a certain model of laptops have mean battery capacity of 5 hours. a consumer report firm wants to show that the actual mean is smaller than the company claims. what should be the null and alternative hypotheses?

Answers

The null and alternative hypotheses are-

Null hypothesis H₀; μ ≤ 9Alternative hypothesis Hₐ: μ > 9Explain the formulation of Hypotheses?

The null and alternate hypothesis must be formulated as two opposed and mutually excluding hypotheses for hypothesis testing.

This alternative hypothesis is a statement that contradicts the null and is the assertion that a sample research seeks to demonstrate. This null hypothesis can be accepted that represents the declaration of equality, the generally accepted presumption about the population.The intended relationship between the variables must be stated first. In order for researchers to determine whether such a hypothesis is true or untrue, it must also be able to be tested and falsified. Third, it must be consistent the with corpus of information already in existence. Last but not least, it should be said as briefly and simply as possible.

A specific laptop model's battery has a typical life of more than 9 hours, according to the claim.

For this assertion, we form:

Null hypothesis H₀; μ ≤ 9

Alternative hypothesis Hₐ: μ > 9

The assertion is represented by the alternative hypothesis in this right-tailed test.

To know more about the alternate hypothesis, here

https://brainly.com/question/26185548

#SPJ4

You and a friend start running from the same location. Your distance d (in miles) after t minutes is d(t) = ⅕t. Your friend starts running 10 minutes after you. Your friend's distance f is given by the function f(t) = d(t - 10). Describe the transformation from the graph of d to the graph of f.

Answers

Answer: 23

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

Regan is making a square garden in her back yard with an area of 25ft² What factors could be the length and width of her garden

Answers

The required length and width of the square garden is 5ft.

Given that,
Regan is making a square garden in her backyard with an area of 25ft² length and width of the garden is to be determined.

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

here,
According to the question, l = w
Area of the garden = 25
l × w = 25
l × l = 25
l = 5

Thus, the required length and width of the square garden is 5ft.

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ1

The odds in favor of Michael Jordan making a free throw were 21:4. Find the probability of Michael Jordan missing a free throw.

Give answer as a decimal rounded to the nearest hundredth.

Answers

The probability that he will miss is 25%.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

The odds in favor of Michael Jordan making a free throw were 21:4.

Total number of throw is 21+4 = 25

The number of time he will miss is 4

So the probability that he will miss is 4/25 = 0.25

Hence, the probability that he will miss is 25%.

Learn more about probability, by the following link.

brainly.com/question/24756209

#SPJ1

question the range for a list of measurements equals the greatest measurement minus the least measurement. the two lists of measurements, x and y , combined consist of 30 measurements with a range of 25. what is the range for the measurements in list x ? (1) the range for the 12 measurements in list y is 20. (2) list x consists of 18 measurements.

Answers

The statements are insufficient to answer the question.

What is measurement?

Measurement is the quantification of an object's or event's attributes for comparison with other objects or events. Measurement, in other words, is the process of determining how large or small a physical quantity is in comparison to a basic reference quantity of the same kind.

So we are given 2 lists, x and y and we are given the

1.  The total number of measurements is 30. x(n) + y(n) = 30.

2. Largest measurement - Smallest Measurement = 25

But we are not told the number of measurements in either x or y. We also don't know whether the largest of smallest measurement of the combined range belongs to x or y.

We need to find the largest measurement of x and the smallest measurement of x for our answer.

1)The range for the 12 measurements in list y is 20.

Okay so we know that y has 12 measurements, therefore x has 18. And we know the y(largest) - y(smallest) = 20 INSUFFICIENT

2) List x consists of 18 measurements.

We are told that x consists of 18 elements. We already figured this out in Statement 1 as well. It again does not tell us anything further. INSUFFICIENT DATA

Hence, the statements are insufficient to answer the question.

To learn more about measurement, visit:

https://brainly.com/question/777464

#SPJ4

a study of 20 worldwide financial institutions showed the correlation between their assets and pretax profit to be 0.86. 1. state the decision rule for 0.05 significance level: h0: rho ≤ 0; h1: rho > 0 (round your answer to 3 decimal places.) 2. compute the value of the test statistic. (round your answer to 2 decimal places.) 3. can we conclude that the correlation in the population is greater than zero? use the 0.05 significance level.

Answers

The decision rule is reject H(0) if t>1.714, test statistic t is 7.157 and Yes, we can conclude that the correlation in the population is greater than zero.

In the given question,

A study of 20 worldwide financial institutions showed the correlation between their assets and pretax profit to be 0.86.

n=20, r = 0.86

The decision rule for α=0.05 significance level:

H(0): P ≤ 0

H(1): P > 0

Degree of freedom(df) = n-2

Degree of freedom(df) = 20-2

Degree of freedom(df) = 18

This is the right tailed test using the t table.

Critical Value: [tex]t_{\alpha /2}[/tex], df = [tex]t_{\alpha /2}[/tex] = 1.714

(a) The decision rule is reject H(0) if t>1.714.

(b) Test statistic is t

t= r√(n−2)/√(1–r^2)

t= 0.86*√(20 -2)/√(1-(0.86)^2)

t= 0.86*√18/√(1-0.7396)

t= 0.86*4.243/√0.2604

t= 3.65/0.51

t= 7.157

Test statistic = 7.157

(c)  We have to conclude that the correlation in the population is greater than zero.

Yes, we can conclude that the correlation in the population is greater than zero.

To learn more about test statistic z link is here

brainly.com/question/3006526

#SPJ4

someone please help, thank you.

Answers

Step-by-step explanation:

it seems the questions 8., 9. and 10. demonstrate exactly what is the asked via variables in 11., 12. and 13.

you only need to apply the principles of equal angles of crossing lines again.

11.

to be parallel

50 + (x + 30) = 180

x + 80 = 180

x = 100.

12.

135 = 2y + 15

120 = 2y

y = 60

13.

70 = 4x - 10

4x = 80

x = 20

14.

yes, because

142 + 38 = 180°

15.

yes, because

112 + 68 = 180°

16.

no, because

146 + 44 = 190° <> 180°

17.

to be parallel, angle 1 = angle 2

88 = 2x

x = 44

18.

to be parallel, angle 1 = angle 3

88 = 2x + 10

2x = 78

x = 39

after constructing a confidence interval estimate for a population mean, you believe that the interval is useless because it is too wide. in order to correct this problem, you need to:

Answers

By using the concept of confidence interval, it can be concluded that-

To reduce confidence interval, it is needed to increase sample size.

Option c is correct

What is confidence interval?

Suppose there is an unknown parameter whose range of estimate is required. Confidence interval gives the range of estimate of this unknown parameter.

Formula for percentage confidence interval

[tex]\bar{x} \pm z_\frac{\alpha}{2} \times \frac{\sigma}{\sqrt{n}}[/tex]

We have to reduce the size of the confidence interval

Confidence interval has no effect on  mean, directly proportional to  standard deviation and inversely proportional to sample size

So to reduce confidence interval, it is needed to increase sample size.

Option c is correct

To learn more about confidence interval, refer to the link-

https://brainly.com/question/15712887

#SPJ4

Complete Question

After constructing a confidence interval estimate for a population mean, you believe that the interval is useless because it is too wide. in order to correct this problem, you need to:

Select one:

a. increase the population standard deviation

b. increase the level of confidence

c. increase the sample size

d. increase the sample mean

e. none of these would help

A perfect square has length n if its last n digits (in base 10) are the same and non-zero. What is the longest possible length? What is the smallest square achieving this length?

Answers

The longest possible length is 3 uints and the smallest square achieving this length is [tex]38^2[/tex] = 1444.

All squares end in the digit 0, 1, 4, 5, 6, or 9. A square ending in 11, 66, 55, 99 would be congruent to 3, 3, 2, 3 mod 4, but squares are congruent to 1 mod 4 or 0. So for a length > 1, the square should end in 4. For example, [tex]12^2[/tex] = 144.

A square ending in 4444 would be congruent to 12 mod 16, but squares are congruent to 0, 1 mod 16, 4 mod 16, or 9 mod 16. So, the maximum length should be 2 or 3.

If [tex]n^2[/tex] ends in 4, then n should end in 2 or 8. [tex](100a + 10b + 2) ^2[/tex]= 10000[tex]a^2[/tex] + 1000 (2ab) + 100 (4a + [tex]b^2[/tex]) + 10 (4b) + 4. So, if this ends in 44, then b = 6 or 1.

If b = 1, then 4a + [tex]b^2[/tex] is odd, so the square will not end in 444. If b = 6, then the square would be 1000k + (4a + 38) 100 + 44. This would end in 444 if we take, a= 9 or 4.

Thus the smallest numbers that end in  2 and whose square ends in 444 are 462 (square 213444) and 962 (square 925444).

[tex](100a + 10b + 8)^2[/tex] = 1000k + 100 ([tex]16a^2 + b^2[/tex]) + 10 (16b + 6) + 4.

Now, if this ends in 44, then b = 3 or 8.

let us take b=3, then [tex](100a + 38)^2[/tex] = 1000k + 100 (76a) + 1444, so this ends in 444 if a = 0. Hence, this should be the smallest solution.

Read more about Modulus:

brainly.com/question/28065269

#SPJ4

calculate 1001 base two +1011 base two​

Answers

Answer: 10100 base two

Tommy earned $62.40 in interest after 4 years on a principal of $400. His simple interest rate is 3.9%. Jane
earned $66.60 in interest after 3 years on a principal of $600. Her simple interest rate is 3.7%. Which bank would you rather
use, Tommy's or Jane's? Explain your reasoning.

Answers

Answer:

I would rather use Jane's bank because she earned more interest in a shorter amount of time. Jane's bank has a higher simple interest rate of 3.7%, which means she earned more money in a shorter amount of time than Tommy did with his 3.9% rate.

On a print-out of these slope fields, sketch for each three solution curves to the differential equations that generated them. Then complete the following statements: For the slope field in figure 1. a solution passing through the point (0.-1) has slope. For the slope field in figure 1. a solution passing through the point (-2.2) has slope. For the slope field in figure 2. a solution passing through the point (1.-3) has slope For the slope field in figure 2. a solution passing through the point (0.4) has a slope.

Answers

Therefore solution to this question is slope at (0,-1) is negative at (-2,2) is negative at (1,-3) is negative & (0,4) is also negative.

What is slope field?

A slope field, which displays the slope of a differential equation along specific vertical and horizontal axes of the x-y plane, can be used to estimate the tangent slope at a particular point on a curve, where the curve is one possible solution to the differential equation.

Here,

For figure 1 slope field=

[tex]\frac{dy}{dx}=\frac{-17x-2y}{y}[/tex]

For figure 2 slope field=

[tex]\frac{dy}{dx} = xy-3\\[/tex]

For figure 1 a solution passing through the point (0,-1)

therefore,

slope=

[tex]\frac{dy}{dx}=\frac{-17x-2y}{y}\\\frac{dy}{dx}=\frac{-17(0)-2(-1)}{-1}=-2[/tex]

so slope comes out to be negative

For figure 1 a solution passing through the point (-2,2)

[tex]\frac{dy}{dx}=\frac{-17x-2y}{y}\\\frac{dy}{dx}=\frac{-17(-2)-2(2)}{-1}=-30[/tex]

so slope comes out to be negative

For the slope field in figure 2. a solution passing through the point (1.-3)

[tex]\frac{dy}{dx} = xy-3\\\\\frac{dy}{dx}=(1*-3)-3=-6[/tex]

so slope comes out to be negative

[tex]\frac{dy}{dx} = xy-3\\\\\frac{dy}{dx}=(0*4)-3=-3[/tex]

so slope comes out to be negative.

Therefore solution to this question is slope at (0,-1) is negative at (-2,2) is negative at (1,-3) is negative & (0,4) is also negative.

To know more about Slope field ,visit

https://brainly.com/question/11879764

#SPJ4

Matt's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon,
the cafe sold 50 espressos in all, 24 of which were single-shot. What percentage of the
espressos were single-shot?

Answers

Answer: 48%

Step-by-step explanation:

scale up,

24/50=x/100

multiply 24/50 by 2 to get 100

so you get 48/100 which is 48%

Answer:

57 I think I'm not entirely sure

What is the correct factorization of the following quadratic expression: x² - 7x - 60
a. (x-12) (x + 5)
b. (x+12) (x - 5)
c. (x-10) (x+6)
d. (x+10) (x-6)

Answers

a is the correct answer

if you mix 3 ounces of blue paint and 2 ounces of yellow paint and decided to make 20 ounces how much of the yellow paint will there be?

Answers

8 ounce of yellow color required.

What is Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two quantities of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol. As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

if you mix 3 ounces of blue paint and 2 ounces of yellow paint.

So, we have the composition ratio as 2:3

Then, to make 20 ounce paint 2/5 of the 20 ounces will be yellow paint, and the other 3/5 will be blue needed.

Thus, yellow = 2/5 x 20= 8 ounce

Blue= 3/5 x20 = 12 ounce

Hence, 8 ounce of yellow color required.

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ1

What is the slope of a line perpendicular to the line whose equation is 6x+y=-5

Answers

Answer:

It would have a slope of a positive 6x

Step-by-step explanation:

Since the slope of the equation shown is -6x, we would just find the opposite which is -6x

A rectangle yas area 3 square feet and with 1/2 foot. what is the length of the rectangle​

Answers

Answer:

6ft

Step-by-step explanation:

3 divided by 1/2 = 6

g assuming a linear relationship between x and y, the larger r-square value is, the larger the absolute value of the coefficient of correlation

Answers

In the domain of finance, an R-Squared value above 0.7 is typically seen as indicating a high level of correlation, whereas one below 0.4 indicates a low level of correlation.

What is correlation?

A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.

The strength of the association is measured by the sample correlation coefficient, or r. The statistical significance of correlations is also examined.

For describing straightforward links between data, correlations are helpful. Consider a dataset of campgrounds in a park in the mountains as an illustration. You're interested in finding out if the height of the campsite—how high up the mountain it is—and the summer's typical high temperature are related.

Hence, In the domain of finance, an R-Squared value above 0.7 is typically seen as indicating a high level of correlation, whereas one below 0.4 indicates a low level of correlation.

learn more about correlation click here:

https://brainly.com/question/4219149

#SPJ4

What are the next two numbers in this sequence? 0, 1, 3, 6, 10, ___, ___

A. 17, 25
B. 15, 21
C. 16, 23
D. 14, 19

Answers

Answer:

b

Step-by-step explanation:

your answer is b to be precise

the answer is b up by 5 then up by 6 the number rises by 1

Samuel has been planting young trees in her garden. The maple tree that is 125 centimeters tall is growing 3 centimeters per month, whereas the oak tree that is 83 centimeters tall is growing 10 centimeters per month. In a few months, the two trees will be the same height. What will that height be? How long will that take?

Answers

It will take 6 month to reach the same height for both maple tree and oak tree.

Explain the term rate of growth?

the country, region, or geographic area's yearly average rate of change in population size over a certain time period.

The given data is -

Present height of maple tree = 125 cmRate of growth = 3 centimeters per month.Present height of oak tree = 83 cmRate of growth of oak tree = 10 centimeters per month.

Let the number of months when both will have the same height be 'x'.

Thus,

For maple tree,the final height be-

125 + 3x

For oak tree,the final height be-

83 + 10x

Equating both

125 + 3x = 83 + 10x

7x = 125 - 83

7x = 42

x = 6 months

Thus, it will take 6 month to reach the same height for both maple tree and oak tree.

To know more about the rate of growth, here

https://brainly.com/question/25849702

#SPJ4

She was the first swimmer to cross the
between the two countries.

If you want your complaint to be addressed, you need to go through the appropriate
.

Answers

Answer:

Step-by-step explanation:

The word ‘channel’ has multiple meanings which can be discerned based on the context.

What is the thesaurus entry for the channel?

According to the thesaurus, as a noun, the word channel has two meanings. They are-

A pathway that contains water - here the channel is a strait or a small stream of water. The synonyms of the word, in this case, would be - avenue, carrier, route, and tunnel.

A means to achieve something- The synonyms, in this case, are the instrument, medium, and vehicle.

As a verb, the word channel means to direct or to convey something. Thus the synonyms would be to carry and to transmit.

How is ‘channel’ used in the contexts above?

In the sentences above the word, 'channel' is used as follows

She was the first swimmer to cross the channel between the two countries.- Here, the channel is a water body.

If you want your complaint to be addressed, you need to go through the appropriate channel.- Here, the channel is a medium or a route.

A customer leaves a tip of $3.00 on a $20 meal. At the same rate, what tip would they
leave for a $50 meal? What is the percentage the customer is leaving for a tip?

Answers

Answer: $7.5 tip

Step-by-step explanation:

divide 3 an 20 then get 0.15

then multiply 0.15 to 50 get 7.5

hi help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

a=3/4

Step-by-step explanation:

1) add 1/6 on both sides

-> 2/3a= 1/3+1/6

->2/3a = 1/2

2) isolate a by multiplying 3/2 on both sides

-> 2/3 x 3/2 a = 1/2 x 3/2

-> a=3/4

what is the rate of change for y=2x+100

Answers

Answer: rate of change = 2

Step-by-step explanation:

Factorize a²+ b²-c²-d² - 2ab-2cd​

Answers

Answer:

(a-b+c+d)(a-b-c-d) answer of the following questoin

what is the common ratio for this geometric sequence? 3,12,48,192

Answers

Answer: r=4

Step-by-step explanation:

12/3 = 4

48/3 = 4

192/48 = 4

HELP…I SELECTED YES AND UHH YUP

Answers

Answer: 86.8 dollars per month

What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14, ...​

Answers

Answer:

0.36

0.26

0.16

0.06

the answers doesn't come in -

ASAP!!

define: A formula to calculate Average Rate of Change over the interval, x [x1, x2].

Answers

divide the change in y-values by the change in x-values.

the telephone lines serving an airline reservation office are all busy about 60% of the time. a if you are calling this office, what is the probability that you will complete your call on the first try? the second try? the third try? b if you and a friend must both complete calls to this office, what is the probability that a total of four tries will be necessary for both of you to get through?

Answers

The probability that a total of four tries will be necessary for both of you to get through is 0.1728.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty. A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

To know more about probability,

https://brainly.com/question/11234923

#SPJ4

Other Questions
environmental agents such as nutrition and chemical exposure can alter gene expression by affecting the epigenome. epigenetic changes may also have important effects on behavior phenotypes. which of these examples correctly describe explicit evidence supporting epigenetic traits as heritable? O A circle has a diameter of 8 meters. Find the approximate area of the circle. Use 3.14 for pi. Midwest Sports produces in-house all the products that it sells through its network of stores. It has a function in its value chain that controls sending the physical materials through the value chain, from procurement through production and into distribution. This function is called?human resources.finance.marketing.logistics.research and development. xa student fires a cannonball diagonally with an initial speed of 35.0m/s. neglect drag and the initial height of the cannonball. what is the max height A force of 203 N is exerted on 8.11 -kg bowling ball over time span of 0.784 seconds as the green lizards (a small group) began to explore all of the possibilities for their upcoming project, it became obvious that no one wanted to speak up and suggest different ideas because they were afraid of causing conflict. because of this, the group repeatedly experienced groupthink. from what we know, which of the following symptoms explains the emergence of groupthink within the green lizards group? as the green lizards (a small group) began to explore all of the possibilities for their upcoming project, it became obvious that no one wanted to speak up and suggest different ideas because they were afraid of causing conflict. because of this, the group repeatedly experienced groupthink. from what we know, which of the following symptoms explains the emergence of groupthink within the green lizards group? age 30 birthday Dec 8 1982 three capacitors of values of 1.0 f, 1.5 f, and 2.0 f each are connected in series. what is the equivalent capacitance? if a situation is repeated again and again, the observed proportion of successful outcomes will tend to approach the theoretical probability that any one of the outcomes will be a success you're working with a buyer who's purchasing a home that appraised at $80,000. the buyer is obtaining a 90% loan, and the lender will charge a one-point origination fee at closing. how much will the loan origination fee be? to what extent were the american colonists justified in resisting british policies after the french and indian war leading to the american revolution? unearned revenue, an operating liability, arises when a company receives cash before any goods are delivered or services are rendered. select one: true false suppose you manage a firm in a monopolistically competitive market. which of the following strategies will do a better job of helping you maintain economic profits: option a: obtaining a celebrity endorsement for your product. option b: supporting the entry of firms that will compete directly with your biggest rival. 1.If you were a southerner living in Georgia during Reconstruction, how would you view the Federal government's decision to deploy troops to the South?2.If you were a northerner, would you, as a voter, put pressure on your government to improve the lives of freedmen in the South or would you want the government to address labor needs in the North?3.How do you think living in different parts of the same society contribute to the way we interpret historical events, even the ones we live through?4.Was the Election of 1876 a "Great Betrayal" or was it necessary to end the military occupation of the South?5.Are terms like "Bayonet Rule" accurate descriptions of the military occupation of the South or propagandistic terms? By what factor would the average kinetic energy of the particles be increased if thetemperature a substance was increased from -49C to 287C? which type of galaxy is very difficult to see, but (astronomers recently realized) may be very common? Christina is writing a paper about the early history of the united states. She has come across the following quotation from american leaders and heroes, written by wilbur fisk gordy: the famous state paper, in which lincoln declared that the slaves were free in all the territory of the seceded states whose people were waging war against the union, was called the emancipation proclamation. What is the best way to use this excerpt in her essay without plagiarizing?. Because this market is a monopolistically competitive market, you can tell that it is in long-run equilibrium by the fact that (P>ATC, MR=MC, MR>MC, P=ATC) at the optimal quantity for each firm. Furthermore, a monopolistically competitive firm's average total cost in long-run equilibrium is (less than, greater than, equal to) the minimum average total cost.True or False: This indicates that there is excess capacity in the market for bats.Monopolistic competition may also be socially inefficient because these are too many or too few firms in the market. The presence of the (business-stealing, product variety) externality implies that there is too much entry of new firms in the market. 48) incandescent light bulbs, which have high output of red light, are least effective in promoting a) photosynthesis. b) seed germination. c) phototropism. d) flowering. e) entrainment of circadian rhythms. A drought killed all the plants in an agricultural farmland. Gradually, due to wind and some birds from nearby areas, new plants started sprouting. What stage of succession was taking place in the farmland?.