Answers
Answer:
x = 1
Step-by-step explanation:
A right triangle is a triangle with a (90) degree angle. A box around one of the angles of a triangle indicates that this angle has a (90) degree measure. All of the triangles in the given picture are right triangles, as all of them contain a (90) degree angle. More than just being right triangles, the triangles in the diagram also have red arcs indicate that the angles are congruent. The base angles converse theorem states that in a triangle with two congruent angles, the sides opposite the congruent angles are also congruent, thus forming an isosceles triangle. Therefore, the given triangles are isosceles right triangles. One property of isosceles right triangles are that their sides follow the ratio:
[tex]a\ :\ a\ :\ a\sqrt{2}[/tex]
Where the sides with a measurement of (a) are the ones opposite the congruent angles, and the side with a measure of ([tex]a\sqrt{2}[/tex]) are the sides opposite the right angle. Apply this to the given triangle, refer to the attached diagram for further clarification about side namings,
[tex]BC*\sqrt{2}=AB\\\\BC=\frac{AB}{\sqrt{2}}\\\\BC=\frac{4}{\sqrt{2}}[/tex]
[tex]BD*\sqrt{2}=BC\\\\BD=\frac{BD}{\sqrt{2}}\\\\BD=\frac{\frac{4}{\sqrt{2}}}{\sqrt{2}}\\\\BD = \frac{4}{\sqrt{2}*\sqrt{2}}\\\\BD=\frac{4}{2}=2[/tex]
[tex]BE*\sqrt{2}=BD\\\\BE=\frac{BD}{\sqrt{2}}\\\\BE=\frac{2}{\sqrt{2}}[/tex]
[tex]BF*\sqrt{2}=BE\\\\BF=\frac{BE}{\sqrt{2}}\\\\BF=\frac{\frac{2}{\sqrt{2}}}{\sqrt{2}}\\\\BF = \frac{2}{\sqrt{2}*\sqrt{2}}=\frac{2}{2}=1[/tex]
[tex]BF = x = 1[/tex]
Related Questions
find the margin of error to use for this sample mean sushi based on a sample of 35 people he average out of pieces of sushi a person can eat is 16 pieces with a standard deviation of 8 pieces of sushi .constructs 90% confidence interval for the mean of amount of sushi pieces a person can eat statistics
Answers
Answer:
{13.7756,18.2244}
Step-by-step explanation:
Given the sample size, the margin of error can be calculated with the formula [tex]M=Z*\frac{\sigma}{\sqrt{n}}[/tex] where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:
[tex]M=Z*\frac{\sigma}{\sqrt{n}}=1.645*(\frac{8}{\sqrt{35}})=2.2244[/tex]
The formula for a confidence interval is [tex]CI=\bar{x}+M[/tex] where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:
[tex]CI=\bar{x}\pm[M]=16\pm2.2244={13.7756,18.2244}[/tex]
Therefore, we are 90% confident that the true mean amount of sushi pieces a person can eat is contained within the interval {13.7756,18.2244}
Please hurry I'm in a rush I will give brainliest to whoever answers first
Describe at least three different marine organisms (fish, mollusks, etc.) that live around coral reefs? How have these organisms adapted to living in the zone that they live in?
Answers
Answer:
The three main types of coral reefs are fringing, barrier, and atoll. Schools of colorful pennantfish, pyramid, and milletseed butterflyfish live on an atoll reef in the Northwestern Hawaiian Islands. The most common type of reef is the fringing reef. This type of reef grows seaward directly from the shore.
Step-by-step explanation:
hopes this help
Answer:Hidden beneath the ocean waters, coral reefs teem with life. Fish, corals, lobsters, clams, seahorses, sponges, and sea turtles are only a few of the thousands of creatures that rely on reefs for their survival.
Coral reefs are also living museums and reflect thousands of years of history. Many U.S. coral reefs were alive and thriving centuries before the European colonization of the nearby shores. Some reefs are even older than our old-growth redwood forests. They are an integral part of many cultures and our natural heritage.
Today, these important habitats are threatened by a range of human activities. Many of the world’s reefs have already been destroyed or severely damaged by water pollution, overfishing and destructive fishing practices, disease, global climate change, and ship groundings. However, we can still protect and preserve our remaining reefs by acting now.
Step-by-step explanation: What i found
Last year, 45% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 30% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 80 business owners.
(a) How many business owners in the survey plan to provide a holiday gift to their employees this year?
(b) Suppose the business owners in the sample do as they plan. Compute the p value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year. If required, round your answer to four decimal places. If your answer is zero, enter "0". Do not round your intermediate calculations.
(c) Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts has decreased? We the null hypothesis. We conclude that the proportion of business owners providing gifts has decreased from 2008 to 2009. What is the smallest level of significance for which you could draw such a conclusion?
Answers
Answer:
a)x₁ = 24 business owners plan to provide a gift this year
b) p-value = 0,0017
c)p-value < α we have to eject H₀ And support the claim that the proportion of business owners providing gifts has decrease
Step-by-step explanation:
a) Sample size 80
proportion p₁ = 30 % p₁ = 0,3
Then x₁ = 80*0,3
x₁ = 24 business owners plan to provide a gift this year
b) Hypothesis Test
Null Hypothesis H₀ p₁ = 0,45
Alternative Hypothesis Hₐ p₁ < 0,45
p₁ = 0,3 then q₁ = 1 - 0,3 q₁ = 0,7
z(s) = ( p₁ - 0,45 )/ √p₁* q₁ / n
z(s) = - 0,15 / √0,002625
z(s) = - 0,15 / 0,05123
z(s) = - 2,9279
b)From z-table we find p-value = 0,0017
c) If α = 0,05 ( significance level ) as
p-value < α we have to eject H₀ And support the claim that the proportion of business owners providing gifts has decrease
Select the word from the following list that best describes each situation.
1. You deposit money in a savings account, and every year the amount of
money in the account increases by 2.5%.
2. For every car sold, a car salesman is paid 6% of the car's price.
3. Someone who eats at a restaurant pays an extra 20% of the food price. This
extra money is kept by the person who served the food.
4. An antique furniture store pays $200 for a chair, adds 50% of that amount,
and sells the chair for $300.
5. The normal price of a mattress is $600, but it is on sale for 10% off
6. For any item you purchase in Texas, you pay an additional 6.25% of the
item's price to the state government.
A Tax
B. Commission
C. Discount
D. Markup
E Tip or gratuity
F. Interest
Answers
Answer:
F
B
E
D
C
A
Step-by-step explanation:
What is the volume of the rectangular prism 9cm 18cm 12cm
Answers
Answer:
1944 cm³
Step-by-step explanation:
V = w · h · l
12 · 18 · 9
1944 cm³
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Guide/Formula: v (volume) = w (width) }\times\large\textsf{ h (height)}\times\large\textsf{ l (length)}[/tex]
[tex]\large\textsf{What is the volume of the rectangular prism 9cm 18cm 12cm ?}[/tex]
[tex]\large\textsf{Your EQUATION: 9cm }\times\large\textsf{ 18cm}\times\large\textsf{12cm}[/tex]
[tex]\large\textsf{9cm}\times\large\textsf{18cm}\times\large\textsf{12cm}\\\\\large\textsf{9cm}}\times\large\textsf{18cm = \boxed{\large\textsf{\bf 162cm}}}\\\\\large\textsf{\underline{162cm}}\times\large\textsf{12cm}\\\\\\\boxed{\large\textsf{= \bf 1,944}}\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 1,944 cm}\bf ^3}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Evaluate 20 + 6x when x = 0.
Answers
Answer:
If x=0 then the answer is 20.
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
6x0 = 0 so 20 plus 0 = 20 when x = 0 because x cancels out
.
Mrs Tan packed 42 strawberry cookies and 49 chocolate cookies in boxes
such that each box had an equal number of each type of cookies. What was
the greatest number of boxes used if all the cookies were packed?
Answers
Answer:
6 boxes
Step-by-step explanation:
HCF of 42 and 49 gives us 7.
So, 7 is the greatest number of boxes used if all cookies were packed.
Mark me brainliest thenkss :)
Which of the following expressions are equivalent to − -e/-f
Answers
Answer:
wdym
Step-by-step explanation:
Answer:
its none of the above I got it right
Step-by-step explanation:
In the diagram given below, ADEF~ ADGH
Find q.
Answers
Answer:
q=3
Step-by-step explanation:
A plumber charges a $5 fee plus $12 per hour for labor. Which equation models the total cost
of a job?
Answers
Answer: y = 12x + 5
Step-by-step explanation:
Since the going rate is $12/hr, that will be the x coefficient. Since the starting fee is $5, that will be the y-intercept.
A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previous research, the horticulturist feels the average weekly growth rate of the new shrub is 4cm per week. A random sample of 40 shrubs has an average growth of 1.50cm per week with a standard deviation of 5cm. Is there overwhelming evidence to support the claim that the growth rate of the new shrub is less than 4cm per week at a 0.200 significance level?
Find the value of the test statistic. Round your answer to three decimal places, if necessary.
Answers
Answer:
Following are the answer to the given question:
Step-by-step explanation:
Following are the null and alternative Hypothesis:
[tex]Null \ Hypothesis: \mu = 4\\\\Alternative \ Hypothesis: \mu < 4[/tex]
Rejection Zone
This is left tailed test, for α = 0.2 and df = 39
[tex]critical\ value(t) = -0.851\\\\reject\ H_0 \ when = t < -0.851[/tex]
Testing statistic:
[tex]t = \frac{(\bar{x} - \mu)}{( \frac{s}{\sqrt{n}})}[/tex]
[tex]= \frac{1.5 - 4}{\frac{5}{\sqrt{40}}}\\\\= \frac{-2.5}{\frac{5}{6.32}}\\\\= \frac{-2.5}{0.79}\\\\ = -3.162[/tex]
[tex]P-value = 0.0015[/tex]
P-value < 0.2, reject the null hypothesis.
Approach to the Rejection Zone:
The null hypothesis is rejected since the test statistic t is outside of the critical range value. Only at the 0.200 significance mark, there's significant evidence that its new shrub's growth rate is less than 4 cm per week.
A red panda at the zoo eats 1/10 pounds of food
each day. How many days will it take the red panda to eat one pound of food? 6 pounds of food? 56 pounds of food?
Answers
Answer:
a. 10
b.60
c. 560
Step-by-step explanation:
a. 1 times 10
b. 10 times 6
c. 10 times 56
Ms. A. Lee is an advisor for the Walton College of Business and she is often asked by students what they should major in if they want to make a lot of money. Of course, her bias was to recommend the Walton College, but in order to make this recommendation with some evidence behind her she conducted a study in which she compared salaries (6 years after graduation) for a random sample of U. of A. graduates. She divided them into 2 groups: those who graduated from the Walton College and those who had any other major in the university. She entered her data into an Excel spreadsheet as illustrated below.
Walton Alumni Non-Walton Alumni
78000 45000
74000 54000
70000 52000
89000 41000
1. What is the independent variable in this scenario?
2. What is the dependent variable in this scenario?
3. How would you describe the research design in this scenario?
4. Assume Ms. A. Lee concluded there was no difference in salaries between colleges (Walton or Non-Walton), how many conditions to infer causation have been met?
Answers
Answer:
1. college
2, salary
3. true experiment
4. 2
Step-by-step explanation:
1. in this scenario the independent variable is the college. that is either walton college or non walton.
2. the dependent variable is the variable of interest. And this is salary. Students want to know what to major in that can give them a lot of salary when they start working.
3. This is a true experiment due to the random sample assigned.
4. 2 conditions to infer causation have been met.
YALLL PLEASE HELP MEEEEE
Answers
Answer:1
Step-by-step explanation:
1
1
1
1
1
1
1
In an attempt to asses total daily travel taxes in various cities, the Global Business Travel Association conducted a study of daily travel taxes on lodging, rental cars, and meals (GBTA Foundation website, October 30, 2012). The data in the file named "TravelTax" are consistent with the findings of that study for business travel to Chicago. Assume the population standard deviation is known to be $8.50 and develop a 95% confidence interval of the population mean total daily travel taxes for Chicago.
Lodging, Car Rental, and Meal Taxes ($)
38.02
41.89
47.44
40.14
47.69
44.02
32.93
33.32
33.90
36.53
43.01
33.22
35.65
39.47
38.86
42.42
47.71
45.03
53.73
36.07
49.95
31.81
63.43
31.50
64.13
42.14
46.78
30.45
47.35
39.42
39.79
43.63
34.03
35.74
48.43
30.92
44.45
41.63
27.23
41.03
43.87
46.07
34.34
39.57
36.40
48.18
42.92
35.57
45.68
43.14
55.21
34.73
26.40
40.66
37.66
28.63
38.17
45.16
46.19
49.58
48.14
45.61
34.22
44.34
55.14
37.00
48.78
52.77
49.07
38.14
45.35
42.59
41.27
20.93
30.70
43.00
50.91
38.56
41.31
39.18
33.57
25.09
30.05
19.28
32.47
53.97
47.32
35.61
44.11
38.97
37.48
40.55
52.03
46.86
46.07
34.89
42.93
49.64
44.35
41.66
39.80
50.31
36.59
33.40
45.51
44.43
47.65
36.24
32.03
32.81
31.64
40.18
34.13
33.22
48.60
40.66
43.37
41.08
34.11
52.91
31.76
56.03
33.61
40.11
53.77
34.73
35.58
48.28
31.89
34.71
37.44
34.77
31.82
39.98
44.66
31.78
21.69
43.23
54.00
46.55
44.85
42.15
25.67
50.25
44.62
44.30
45.09
35.12
34.06
31.77
36.55
36.79
29.65
47.66
25.91
47.27
32.31
42.52
46.86
48.75
38.81
33.66
27.24
46.40
50.95
39.74
35.47
35.95
29.51
62.77
37.72
45.80
39.91
33.28
39.63
28.57
38.14
36.04
40.13
35.51
31.49
39.49
37.69
50.34
44.10
45.61
46.51
53.00
35.40
25.64
47.65
47.49
32.76
45.41
28.77
37.32
28.64
50.67
33.77
40.88
Answers
Answer:
The 95% confidence interval of the population mean total daily travel taxes for Chicago is ($39.13, $41.49).
Step-by-step explanation:
The first step, before building the confidence interval, is finding the mean of the data set.
We are given 200 values, and the with the help of a calculator, the mean of this values is of 40.31.
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population(8.50, as given in the problem) and n is the size of the sample(200).
[tex]M = 1.96\frac{8.50}{\sqrt{200}} = 1.18[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 40.31 - 1.18 = $39.13.
The upper end of the interval is the sample mean added to M. So it is 40.31 + 1.18 = $41.49.
The 95% confidence interval of the population mean total daily travel taxes for Chicago is ($39.13, $41.49).
Answer:
($39.132, $41.488)
A step-by-step explanation is mentioned in the attached image
If only 4 of your 15 employees showed up for a shift, what percent of the
employees came to work?
Answers
Draw two lines that cross at one point
Answers
What are two lines joining at one point?
The definition of intersecting lines can be called two lines that cross each other a only one point. This point is called the point of intersection.
BRAINLIST
HELP ME PLEASEEEEEEEEEEE
Answers
Answer:
12
Step-by-step explanation:
12/2=6
Tell me if it works
Answer: z=12
Step-by-step explanation: Hope this help :D
A bag contains 6 red marbles, 6 green marbles, and 6 blue marbles. If Olivia draws a marble, replaced it and then draws another marble, what is the probability that both marbles she draws will be red?
Answers
Answer:
5/51 or 9.8
Step-by-step explanation:
Since she does not put the marble back it's dependent.
1/3 chances the first marble is red and 5/17 the second is too.
Multiply and you get 5/51 odds, or approximately 9.8% chance
Answer:
1/9.
Step-by-step explanation:
Prob(First marble is red) = 6/18 = 1/3
Prob(Second marble is red) = 1/3
Required probability = 1/3 * 1/3 = 1/9.
A small pond has a roughly rectangular shape. It is 22.3 kilometers wide and 24.5 kilometers long. Shrinking water levels are reducing the width by 1.4% each year and the length by 0.75% each year. Use the drop-down menus to choose or create functions to model: A. The width of the pond over time, w(t) B. The length of the pond over time , l(t) C. The area of the pond over time, a(t)
Answers
Answer:
A
Step-by-step explanation:
Answer: 1st one it 22.3(1-0.014)^t second one is 24.5(1-.0075)^t
And it’s multiplication
Step-by-step explanation: alright so it’s lowering per year so if you evaluate every equation this makes the most sense because when you include “(1-)” it means percentage decrease and “(1+)” is percentage increase so this one make the most sense the other have some kind of increase rather than decrease
HELP ME PLEASE IM SO FRSTRATED
Answers
Answer:
x = 13.3
Step-by-step explanation:
Use the cosine law:
x^2 = (8)^2 + (18)^2 -2(8)(18)cos43
= 64 + 324 - 288cos43
= 177.3
x = 13.3
You are very excited to learn that a building is available with 2,570 square feet. You know that the building code requires
two bathrooms at least 10 x 12 feet each. There is an entrance hallway that is 30 x 15 feet. You think you need at least 1,000 square feet for
the kitchen and storage. Which of the following could represent the available dining space?
O
a) 30 x 29 feet
b) 30 x 40 feet
c) 40 x 50 feet
d) 50 x 50 feet
Answers
Answer:
a
Step-by-step explanation:
The available dining space is 1000aq feet, the correct option is A
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Given;
The building is available with 2,570 square feet
The building code requires two bathrooms at least 10 x 12 feet each
An entrance hallway that is 30 x 15 feet
For kitchen and storage= 1000sq feet
Now, to find the available dinning space;
=2570-(10*12)-(30*15)-(1000)
=2570-1570
=1000
Therefore, the area left will be 1000sq feet
Learn more about the area;
https://brainly.com/question/1658516
#SPJ6
Find sec 0 if 0 is in quadrant 4 and sin 0- 1/5
Answers
Answer:
5/(2√6)
Step-by-step explanation:
How do I solve for IQR?
Answers
Answer:
1.Order the data from least to greatest.
2.Find the median.
3.Calculate the median of both the lower and upper half of the data.
4.The IQR is the difference between the upper and lower medians.
Step-by-step explanation:
A fraction is shown. HHH 1 What fraction is shown on the number line? 5 O A 6. OB. 을 Ос. OD. ОЕ.
Answers
Answer:
huh?
Step-by-step explanation:
2 After a hailstorm, a large car dealership wants to determine the proportion of cars that have damage. The service department randomly selects 50 cars on the dealership lot, examines them, and finds that 11 cars have damage. They want to construct a 99% confidence interval for the true proportion of cars with damage from the storm. Are the conditions for inference met? O Yes, the conditions for inference are met No, the 10% condition is not met No, the randomness condition is not met No, the Large Counts Condition is not met.
Answers
Answer:
Yes, the conditions for inference are met
Step-by-step explanation:
Conditions for inference:
To build a confidence interval for a population proportion, the sample must have at least 10 successes and 10 failures.
In this question:
50 cars, 11 have damage and 50 - 11 = 39 do not.
Since both the number of sucesses and of failures is above 10, conditions for inference are met.
Evaluate 7x + 3y when x = 2 and y = 4
Answers
Answer:
..............=7(2)+3(4)
=14+12=26.................
the highest possible score on an entrance exam is 800 points. what scores are between 80% to 90% of the highest possible score?
Answers
Answer: 640-720
Step-by-step explanation:
What is the value of x?
Answers
Answer:
X = 1
Step-by-step explanation:
X is none number but equals to 1
Answer:
X=11
Step-by-step explanation:
Similar triangles....
6/48 = 5/3x+7
6(3x+7) =240
3x+7=40
3x=33
x=11
Does anyone know the answer?
Answers
Answer:
a = √5
b ∈ (−∞,∞)
Step-by-step explanation:
(7 + 3√5)/(3 + √5) - (7 - 3√5)/(3 - √5) = a + b√5
⇔ (7 + 3√5)(3 - √5)/(3 + √5)(3 -√5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5
⇔ (7 + 3√5)(3 - √5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5
⇔ 4√5/4 = a + b√5
⇔ √5 = a + b√5
⇔ b = (5 - a√5)/5
Replace b with (5 - a√5)/5
⇒ a + (5 - a√5)/5 = √5
⇔ a × 5 + (5 - a√5)(5)/5 = √5 × 5
⇔ a × 5 + 5 - a√5 = 5√5
⇔ a × 5 - √5 × a = 5√5 - 5
⇔ a(5 - √5) = 5√5 - 5
⇔ a = √5