Relationships in Figures

If one measurement of a golden rectangle is 5.4 inches, what is the other measurement?

a. 8.737
b. 7.018
c. 1.618
d. 3.782

Please select the best answer from the choices provided

Answers

Answer 1

Answer:

A. 8.737

Step-by-step explanation:

I calculated it logically


Related Questions

In 2016, there were approximately 4.46 x 10 people in Asia. On average, a person takes 8.4 x 10 breaths per
year. Using this data, what was the number of breaths of all the people in Asia in 2016? Expressing your answer in
scientific notation in the form a x 10", what are the values of a and b?
What is the value of a?
What is the value of b?

Answers

Answer: 4

Step-by-step explanation:

I got this same question buddy im here to see the answer but there were not any

A house has increased in value by 15% since it was purchased. If the current value is $391,000, what was the value when it was purchased?

Answers

332,350
You do 391,000 - 15%

Please help with this!!!
In need of a answer fast!

Answers

Answer:

You never attached anything so ill just say the answer is 4

Step-by-step explanation:

If you want a serious answer please edit your question so it is answerable.

:) Have a good day

Use a calculator to find the lengths x and y of the legs of the right triangle shown

Answers

Answer:

y = 0.47

x = 0.91

Step-by-step explanation:

From the right angled triangle Given :

Applying trigonometry :

To Obtain y :

We use :

Tan θ = opposite / hypotenus

Tan 25 = y / 1

y = 1 * tan 25

y = 0.4663076 * 1

y = 0.47

For x :

We use :

Cosθ = adjacent / hypotenus

Cos 25 = x / 1

0.9063077 = x / 1

x = 0.9063077 * 1

x = 0.9063077

Hence, x = 0.91

6 people share 12 muffins

What is the answer to this question?

Answers

Each person gets 2 step by step explanation

In a small metropolitan area, annual losses due to storm, fire, andtheft are assumed to be independent, exponentially distributed random variableswith respective means 1.0, 1.5, 2.4. Determine the probability that the maximumof these losses exceeds 3.

Answers

Answer:

[tex]0.4138[/tex]

Step-by-step explanation:

Given

[tex]x \to storm[/tex]

[tex]\mu_x = 1.0[/tex]

[tex]y \to fire[/tex]

[tex]\mu_y = 1.5[/tex]

[tex]z \to theft[/tex]

[tex]\mu_z = 2.4[/tex]

Let the event that the above three factors is greater than 3 be represented as:

[tex]P(A > 3)[/tex]

Using complement rule, we have:

[tex]P(A > 3) = 1 - P(A \le 3)[/tex]

This gives:

[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]

-----------------------------------------------------------------------------------------------------------

The exponential distribution formula of each is:

[tex]P(x \le k) = 1 - e^{-\frac{k}{\mu}}[/tex]

So, we have:

[tex]k = 3; \mu_x = 1[/tex]

[tex]P(x \le 3) = 1 - e^{-\frac{3}{1}} = 1 - e^{-3} = 0.9502[/tex]

[tex]k=3; \mu_y = 1.5[/tex]

[tex]P(y \le 3) = 1 - e^{-\frac{3}{1.5}} = 1 - e^{-2} = 0.8647[/tex]

[tex]k = 3; \mu_z = 2.4[/tex]

[tex]P(z \le 3) = 1 - e^{-\frac{3}{2.4}} = 1 - e^{-1.25} = 0.7135[/tex]

-----------------------------------------------------------------------------------------------------------

[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]

[tex]P(A > 3) = 1 - (0.9502 * 0.8647 *0.7135)[/tex]

[tex]P(A > 3) = 1 - 0.5862[/tex]

[tex]P(A > 3) = 0.4138[/tex]

One hundred draws are made at random with replacement from box A, and 250 are made at random with replacement from box B. (a) 50 of the draws from box A are positive, compared to 131 from box B: 50.0% versus 52.4%. Is this difference real, or due to chance

Answers

Answer:

Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real

Step-by-step explanation:

Sample size A [tex]n_a=100[/tex]

Sample size B [tex]n_b=250[/tex]

Positive draw from box A [tex]n_a=50[/tex]

Positive draw from box b [tex]n_b=131[/tex]

Generally the equation for Probability of Positive draw from Box A is mathematically given by

 [tex]P_1=\frac{50}{100}[/tex]

 [tex]P_1=50%[/tex]

Therefore

 [tex]1-P_1=50\%[/tex]

Generally the equation for Probability of Positive draw from Box A is mathematically given by

 [tex]P_1=\frac{131}{250}[/tex]

 [tex]P_1=52.4%[/tex]

Therefore

 [tex]1-P_1=47.6\%[/tex]

Generally the equation for Standard error S.E is mathematically given by

 [tex]S.E=\sqrt{\frac{n_1(p_1)*(1-P_1)}{n_1^2}+\frac{n_2(P_2(1-p^2))}{n_2^2}}[/tex]

 [tex]S.E=\sqrt{\frac{100(0.50)*(50)}{100^2}+\frac{(250)(0.524(47))}{250^2}}[/tex]

 [tex]S.E=0.592[/tex]

 [tex]S.E=59.2\%[/tex]

Therefore

 [tex]Z=\frac{50-52.4}{59.2}[/tex]

Generally

 [tex]P value P>0.05[/tex]

Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real

4. Simplify each expression:
a. 14x - 6x + 12
1.
(x - 6)(x - 7)
b. 14 - 4x - 8 + 3x
j.
(7x - 12 + 2y) - (7x + 14 - 2y)
c. 10x2 - 5x + x2 - 5x
k. (x + 4)(x - 6)
d. 4x2 - 10x - 7 - 2x2 + x
I.
(x + 3)(x + 10)
e. 5(2x2 - 4x + 9)
m. 507 - 2x) - 7(4 - 3x)
f. 2(3x² + 7x - 4)
n. -7x + 8(x - 1) + 15
g. 8x(3x - 1)
o. 10x - 8(x - 5)
h. 3x(3x + 10)
p. 4(3 + 2x) + 7(8 - 3x)

Answers

Answer:

a. 8x+12                      

b.6-x                            

c.20-8x

d.-3-9x

e.65-20x

f.6x^2+14x-8

g. 24x^2-8x

h. 9x^2+30x

1. x^2-13x+42

j. 26+4y

k. x^2-2x-24

l. x^2+13x+30

m. 429+23x

n. 15x-7

o. 2x-40

p. 68-13x

Step-by-step explanation:

The perimeter of the figure below is 64 m. Find the length of the missing side.

Answers

Add all sides you have together and you get 53m.. then you subtract 53 from 64 and the length of the missing side would be 11

The graph shows the relationship between tablespoons and teaspoons. Determine a rule that relates the number of tablespoons by writing the correct term or value from the tiles in each blank.

Answers

Answer:

Multiply

1/3

Step-by-step explanation:

You can divide by 3 or multiply by 1/3. Since it looks like 3 is grayed out, I guess you have to use the latter.

What is the y-intercept of the Line y=3/4x + 2

Answers

Answer:

Step-by-step explanation:

Find the number if 2/5 of it is 22

Answers

Answer:

22×2/5=8.8

Step-by-step explanation:

Hope it helps you

Answer:

55

Step-by-step explanation:

2/5n = 22

multiply each side by 5/2 to get:

n = 110/2

n = 55

The regional transit authority for major metropolitan area wants to determine whether this relationship between the age of a bus and the annual maintenance cost. A sample of 10 buses resulted in the data located in the attached file above. Answer the following questions: Create a scatter chart using the data from the provided Excel file above. What does the scatter chart indicate about the relationship between age of a bus and annual maintenance cost

Answers

Answer Answer:

The scatter plot indicates that a positive linear relationship exists between the age of a car and its maintenance cost. This is depicted by the positive slope direction which indicates the maintainance cost of the car is will increase as the age of the car increases. If the correlation Coefficient of the data was calculated, a correlation Coefficient value of about 0.934 will be obtained.

Step-by-step explanation:

Check answer

in a bottle there are 370 liters of water. There are 46 small
glasses, which hold only 90 ml per glass. How many extra glasses
are required to transfer all the water from the bottle?​

Answers

Answer:

The number of extra glasses required is 3954.

Step-by-step explanation:

Total volume of water in a bottle = 370 liters

Number of  glasses, N = 46

capacity of each glass = 90 ml = 0.09 liter

The volume of water required to fill 46 glasses is

= 0.09 x 46 = 4.14 liter

The amount of water left = 370 -  4.14 = 355.86 liter

The number of extra glasses required to fill is

n = 355.86/0.09 = 3954

So, the number of extra glasses required is 3954.  

Answer:

l

Step-by-step explanation:

yeha bta hunxa...........

7/8y + 1/2 = 1 1/5

Solve for y.

Answers

Answer:

y = 4/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

7/8y + 1/2 = 1 1/5

Step 2: Solve for y

Convert to improper fraction:                                                                          7/8y + 1/2 = 6/5[Subtraction Property of Equality] Subtract 1/2 on both sides:                       7/8y = 7/10[Division Property of Equality] Divide 7/8 on both sides:                              y = 4/5

If a vector v = (3, -4), then what is the value of ||v||?
-1
Square Root 12
5
7

Answers

Answer:  C)  5

======================================================

Explanation:

Any vector of the form v = (a,b) will have a length of |v| = sqrt(a^2+b^2).

This is derived from the pythagorean theorem. It's the same as saying the distance from (0,0) to (a,b) is sqrt(a^2+b^2).

In this case, a = 3 and b = -4, which means...

|v| = sqrt(a^2+b^2)

|v| = sqrt(3^2+(-4)^2)

|v| = sqrt(9+16)

|v| = sqrt(25)

|v| = 5

The vector is 5 units long.

Note: we have a 3-4-5 right triangle

In a simple random sample of 1500 young Americans 1305 had earned a high school diploma.

a. What is the standard error for this estimate of the percentage of all young Americans who earned a high school diploma?
b. Find the margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma.
c. Report the 95% confidence interval for the percentage of all young Americans who earned a high school diploma.
d. Suppose that in the past, 80% of all young Americans earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young Americans who cam high school diplomas has increased? Explain.

Answers

Answer:

a) The standard error for this estimate of the percentage of all young Americans who earned a high school diploma is 0.87%.

b) The margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma is of 1.71%.

c) The 95% confidence interval for the percentage of all young Americans who earned a high school diploma is (85.29%, 88.71%).

d) The lower bound of the confidence interval is above 80%, which means that the confidence interval supports the claim that the percentage of young Americans who cam high school diplomas has increased.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Standard error:

The standard error is:

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Margin of error:

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}} = zs[/tex]

The confidence interval is:

Sample proportion plus/minus margin of error. So

[tex](\pi - M, \pi + M)[/tex]

In a simple random sample of 1500 young Americans 1305 had earned a high school diploma.

This means that [tex]n = 1500, \pi = \frac{1305}{1500} = 0.87[/tex]

a. What is the standard error for this estimate of the percentage of all young Americans who earned a high school diploma?

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.87*0.13}{1500}} = 0.0087[/tex]

0.0087*100% = 0.87%.

The standard error for this estimate of the percentage of all young Americans who earned a high school diploma is 0.87%.

b. Find the margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Then

[tex]M = zs = 1.96*0.0087 = 0.0171[/tex]

0.0171*100% = 1.71%

The margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma is of 1.71%.

c. Report the 95% confidence interval for the percentage of all young Americans who earned a high school diploma.

87% - 1.71% = 85.29%

87% + 1.71% = 88.71%.

The 95% confidence interval for the percentage of all young Americans who earned a high school diploma is (85.29%, 88.71%).

d. Suppose that in the past, 80% of all young Americans earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young Americans who cam high school diplomas has increased? Explain.

The lower bound of the confidence interval is above 80%, which means that the confidence interval supports the claim that the percentage of young Americans who cam high school diplomas has increased.

Suppose that newborn harbor seal pups have a weight that is normally distributed, with a mean of 22.0 lbs and standard deviation of 1.1 lbs. Find the probability that a newborn pup has a weight above 24.0 lbs.

Answers

Answer:

0.0344 = 3.44% probability that a newborn pup has a weight above 24.0 lbs.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 22.0 lbs and standard deviation of 1.1 lbs.

This means that [tex]\mu = 22, \sigma = 1.1[/tex]

Find the probability that a newborn pup has a weight above 24.0 lbs.

This is 1 subtracted by the p-value of Z when X = 24. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 22}{1.1}[/tex]

[tex]Z = 1.82[/tex]

[tex]Z = 1.82[/tex] has a p-value of 0.9656.

1 - 0.9656 = 0.0344

0.0344 = 3.44% probability that a newborn pup has a weight above 24.0 lbs.

The graph shows two lines, A and B.
6
A
B В
5
4
3
1
0
1 2
3 4 5 6
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer.
Part B: What is the solution to the equations of lines A and B? Explain your answer.

Answers

Answer:

A: 1 solution: the lines intersect at one point

B: (3,4), reference graph for solution

Step-by-step explanation:

A: solutions are equivalent to how many intersections two lines have, and we can see that these lines intersect once and won't intersect again

B: luckily the intersection point is super easy to plot, so we can just reference the graph for our solution!

Which choice below could represent the distance jake walked?

Answers

Answer:

50 yard South, 40 yard east 60 yard northwest

PLEASE HELP ME !!! Can anyone help me find the function for this trig graph ?? i need a specific answer for the function , 50 pts and i will mark brainliest !!

Answers

This is the sine curve shifted up by 4 units so y = 4 + sin(x)

Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

Which town will eventually have more people?

Answers

all of the towns will eventually have more people like when the population grows
A town where the population increases by 500 people each year.

THIS IS WORTH 30 POINTS

1. Point B is located at (-4, -6). Where is the location of B’ after a reflection over the y-axis?

Answers

It will be at (4,-6)

Answer:

your awnser would be [4, −6]

Step-by-step explanation:

hope this helps

Shelly receives a salary of $450 plus 20% commission on everything she sells. She sold $ 600 worth of office supplies. What was her total pay check​

Answers

Answer:

$1140 or $540

Step-by-step explanation:

450*1.2=540

540+600=1140

What is -4.5 need help pls help fast I will give u a brilliant and thank

Answers

Answer:

its -4.5??? what is the question you're asking

Hey man you think you can give us some Answer choices???

help will give brainliest​

Answers

9514 1404 393

Answer:

198 $1.20

Step-by-step explanation:

1. Let x represent the number of apples left. Then the number of mangosteens left is 1/6x. The starting number in each case is the number left plus the number sold. The starting numbers are equal, so we have ...

  x + 201 = (1/6)x +366

  5/6x = 165 . . . . . . . . . . subtract 1/6x+201

  x = 198 . . . . . . . . multiply by 6/5

198 apples were left.

__

2. Let d represent the cost of a drink. The cost of a drink is 3/5 the cost of a snack, so the cost of a snack is 5/3 the cost of a drink. Then Alice's total expenditure was ...

  15d +12(5/3d) = 42

  35d = 42 . . . . . . . . . . . . . . collect terms

  d = 42/35 = 6/5 = 1.20 . . . divide by 35

The cost of a drink was $1.20.

Simplify the ratio
6 doctors to 27 patients

Answers

Answer:

2 doctors to 9 patients

Step-by-step explanation:

Divide each by 3. They cant be simplified more.

A small airplane flies 1015 miles with an average speed of 290 miles per hour. 1.75 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time; what was the average speed of the 747

Answers

Answer:

The average speed of the 747 was of 580 miles per hour.

Step-by-step explanation:

We use the following relation to solve this question:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance and t is the time.

A small airplane flies 1015 miles with an average speed of 290 miles per hour.

We have to find the time:

[tex]v = \frac{d}{t}[/tex]

[tex]290 = \frac{1015}{t}[/tex]

[tex]290t = 1015[/tex]

[tex]t = \frac{1015}{290}[/tex]

[tex]t = 3.5[/tex]

1.75 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time;

The time of the Boeing 747 is:

[tex]t = 3.5 - 1.75 = 1.75[/tex]

Distance of [tex]d = 1015[/tex], the velocity is:

[tex]v = \frac{d}{t} = \frac{1015}{1.75} = 580[/tex]

The average speed of the 747 was of 580 miles per hour.

father is 20 years older than son. if the sum of their ages is 40 years find their age​

Answers

Answer:

20 is the father's 20 is the son

Step-by-step explanation:

20+20=40

40/2=20

40-20=20

another way:

20:n= 40

40-20=20

20:20=40

Answer:

Step-by-step explanation:

let the age of son be x

x+x+20=40

2x=40-20

x=20/2

x=10

since age of a father is 20 more than his son's so,

x+20=father's age

10+20

30

therefore fathers age is thirty years and son age is 10 years

I need help please!!!

Answers

Answer:

Option D would be the correct answer!

Hope this helps!

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