Answers
Answer:
B
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{11}{20}[/tex] , then
x = [tex]cos^{-1}[/tex] ( [tex]\frac{11}{20}[/tex] ) ≈ 57° ( to the nearest degree ) → B
Related Questions
In a (Gallup poll, 26.6% of 5000 people reported a Body Mass Index (BMl) greater than 30, which is classified as obese. The 5000 people polled are a random sample of adults, aged 18 and older, from the United States population. Choose the correct interpretation for the 98% confidence interval for the proportion of the population who arc obese? A. The proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805. B. We are 98% confident the proportion of adults polled who are obese is between 0.2515 and 0.2805. C. In 98% of all samples, the proportion of adults polled who are obese will be between 0.2515 and 0.2805. D. We are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805.
Answers
Answer:
D. We are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805.
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].
26.6% of 5000 people reported a Body Mass Index (BMl) greater than 30
This means that [tex]\pi = 0.266, n = 5000[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.266 - 2.327\sqrt{\frac{0.266*0.734}{5000}} = 0.2515[/tex]
The upper limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.266 + 2.327\sqrt{\frac{0.266*0.734}{5000}} = 0.2805[/tex]
The correct interpreation is that we are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805, which means that the correct answer is given by option D.
Hi! i need help with this math problem! it’s for right triangles please help me
Answers
tan 70 = x/3
3 tan 70= x
8.2424 = x
rounding to the nearest hundredth, answer is
8.24
Sana Po nakatulong
stay safe po
Is the following statement
possible or impossible?
A triangle has side lengths of
4, 8, and 9.
Possible
Impossible
Answers
Answer:
Possible
Step-by-step explanation:
The sum of two sides must be greater than the sum of the third side.
Answer:
Impossible
Step-by-step explanation:
Two sides of a triangle must always be less than the third.
Kelly is going two work two part-time jobs during the school year. When she works for her dad, she will make $8.00 per hour. When she works at a day care center, she will make $14.00 per hour. To pay her car payment, Kelly needs to make at least $84.00 a week and can work no more than 10 hours total per week. Write an inequality to represent the difference combinations of hours working for her dad,X, and hours working for the daycare center,Y, Kelly can work if she wants to earn at least $84 per week
Answers
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of hours Kelly works for her dad per week and y represent the number of hours Kelly works in the daycare center per week.
Since she wants to make $84 per week, hence:
8x + 14y ≥ 84 (1)
Also, she can work a maximum of 10 hours per week, hence:
x + y ≤ 10 (2)
Using equation 1 and 2 and plotting the constraints on geogebra online graphing tool, the solution to the problem is at points:
A(0, 6), B(0, 10) and C(9.3, 0.7)
What is the obesity threshold weight for a young adult American male?
Answers
Answer:
If your BMI is 18.5 to 24.9, it falls within the normal or Healthy Weight range. If your BMI is 25.0 to 29.9, it falls within the overweight range. If your BMI is 30.0 or higher, it falls within the obese range.
Step-by-ste
Answer:
218.7 lbs is your answer
which of the following are solutions to the quadratic equation? x^2+3x-10=0
Answers
Answer:
-5 and 2
Step-by-step explanation:
That is where it intersects on the x-axis, so therefore it is the solution.
The cost price of the shoes are $50. The selling price of the shoes are 300% of the cost price. What is the selling price of the shoes? *
Answers
Answer:
47 or 200
Step-by-step explanation:
how many different passwords are possible
Answers
Answer:
I think 2600 passwords are possible
74/360 in simplest form
Answers
Answer:
37/180
Step-by-step explanation:
Reduce this fraction by dividing both sides by 2. We get 37/180, which cannot be reduced further; 37 and 180 have no common factor.
can someone pls help for brainlest
Answers
Answer:
I think it 1188mm but not that sure if someone can double make sure
Answer:
382.50
Step-by-step explanation:
Area of the Shaded region = Area of the larger triangle - Area of the smaller triangle;
Let's find the area of the large triangle first;
A = 1/2(base) * (height)
A = 1/2(33) * (33)
A = 16.5 * 33
A = 544.5
Now let's find the area of the small triangle;
A = 1/2(base) * (height)
A = 1/2(18) * (18)
A = 9 * 18
A = 162
Area of the shaded region;
=> 544.5 - 162
=> 382.5 (if rounded to the nearest hundredths, 382.50)
Hope this helps!
You told your friend that you could eat 9/12 of a large pizza. If you only ate 3/4 of what you said you could eat, what fraction of a large pizza did you eat?
Answers
Answer:
9/16
Step-by-step explanation:
You need to find how much 3/4 is of 9/12.
If using a calculator ((3/4) * 9)/12 gives you a decimal of 0.5625 or 9/16
A donor decides to grant to the students of a college an annual scholarship of Rs. 6,000 for a period of 10 years. What should he deposit in the bank with compound interest at 12% p.a., so that the sum may be sufficient to grant a scholarship? Assume that the scholarship is payable to the students at the end of the year.
Answers
Answer:
14200
Step-by-step explanation:
The formula of amount be , A = P + SI = P + {(P × R × T)/100} = 14200
What is the Si formula?
Simple interest exists estimated with the following formula:
S.I. = (P × R × T)/100,
where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually computed as the number of years.
The rate of interest is in percentage r% and exists to be noted as r/100.
Given: P = 6000, T = 10 and R = 12
S.I. = (P × R × T)/100
[tex]$SI = (6000*12*10)/100[/tex]
SI = 7200
A = P + SI
A = 6000 + 7200
A = 14200
Therefore, the amount = 14200.
To learn more about Simple interests refer to:
https://brainly.com/question/17921489
#SPJ2
can someone pls help for brainlest
Answers
Answer:
The answer to the question is B,2:55
Answer:
2:55 B
Step-by-step explanation:
Each number 1 2 3 etc are counting by 5's. 11, five times is 55. It cannot be D because the shorter needle determines the hour and the longer one is on 11. It can't be A because counting by 5 starts with 1 not 12 it rotates clockwise not anti-clockwise. It can't be C because for it to be 50, it would need to be on the 10 not on 11.
David participating in a 6-day cross-country biking challenge. He biked for 65, 56, 57, 58 , and 67 miles on the first five days. How many miles does he need to bike the last day so that his average (miles) per day ?
Answers
Answer:
Hi
Step-by-step explanation:
Please like I am noob I neeed brainliest
HELP QUICK PLEASEEEEEE
Answers
Answer:
It woule be c and d, so a)
Step-by-step explanation:
Only a and b are functions.
Is (x - 2) a factor of y = x3 + 2x2 - 9x - 18 ?
A: Yes
B: No
C: Cannot be determined
Answers
A car was bought for D750,000 and was sold for D775,000 calculate the percentage profit
Answers
A box is filled with 5 blue cards, 4 red cards, and 5 brown cards. A card is chosen at random from the box. What is the probability that it is a blue or a brown card?
Answers
please answer quickly easy 10 points but please answer quick
Answers
Answer:
He traveled 520 miles
Step-by-step explanation:
8 x 65 = 520
Answer: 520 miles
Step-by-step explanation:
Data: Juan drove 8 hours
Drove at an average Speed of 65 mph
Miles driven=x
Only step: Multiply 65 by 8 which is 520
Explanation: Since Juan drove at an average speed of 65 miles per hour, that means he drove 65 mile for every hour he drove. So since he drove for 8 hours, you multiply 8 hours by 65 miles so that you get get the total amount of hours driven by him.
Don't forget to add "Miles" to the end of your answer because most math teachers tend to want that in an answer like this.
I hope this helps(Mark brainiest if you want to, thanks)
A box of cereal has the following measurements: length = 16.5 cm; width = 4 cm; height = 30.25 cm. What is the volume of the cereal box?
Pls help me I’m failing math with a 55
Answers
Answer:
[tex]1996.5[/tex]
Step-by-step explanation:
[tex]16.5 X 4 X 30.25[/tex]
Hope this helped, please give brainliest
Thank you!
Answer:
To calculate the volume of a object, all you need to do is multiply the length, width and height. In this equation, that would be 1996.5cm or 786.02362204 inches
Step-by-step explanation:
Hope this helped, please give brainlist
Thank you
There are 10 rows of flowers in the garden. Each row has 6 roses, 4 mums, and 5 tulips. Which expression represents this situation
Answers
Answer:
10(6 + 4 + 5)
Step-by-step explanation:
Rhonda deposited $3000 in an account in the Merrick National Bank, earning 4.2% interest, compounded annually. She made no deposits or withdrawals. a) Write an equation that can be used to find B, her account balance after t years. b) Find the amount in her bank account after 6 years to the nearest cent
Answers
Answer:
below
Step-by-step explanation:
that is the procedure above
There is a 30% chance of snow on each of the next three days. What is the probability of getting snow on one of these days?
Answers
Answer:
30%
Step-by-step explanation:
Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?
Answers
Answer:
0.05n + 0.25q = 1.60
q = 3n
0.05n + 0.25(3n) = 160
0.05n + 0.75n = 1.60...multiply by 100 to get rid of the decimals
5n + 75n = 160...answer D
Step-by-step explanation:
(meow) <3
Jackson is shopping for thank you notes. He is trying to decide between three different
packages of notes as shown below. Which package is the best deal?
Package 1 15 notes for $18.75
Package 2 30 notes for $39.90
Package 3 25 notes for $33.75
[A] Package 1
[B] Package 2
[C] Package 3
[D] Either Package 2 or 3
Answers
Explanation:
Package 1 is $1.25 for each note, which is a lower cost than any of the other packages, thus making it a better deal :)
Answer:
its A pls dont delete answer
Step-by-step explanation:
The figure shows two parallel lines cut by a transversal. what is the measure in degrees of angle ABC?
Answers
Answer:
70
Step-by-step explanation:
2x and (4x-70) have the same measurements.
Set your formula up as
2x = 4x-70
2x-4x=-70
-2x=-70
x=35
Now substitute 35 in place of x
2x = 2*35 = 70
4x-70 = 4*35 - 70 = 70
I really need the answer now pls help me asap!!
Answers
Answer:
1 A
2 B
3 D
4 B
5 A
6 D
7 C
8 B
9 C
Step-by-step explanation:
1 A
2 B
3 D
4 B
5 A
6 D
7 C
8 B
9 C
Ifx = 2 and y=6, evaluate the following expression:
3(3y - 4x)
Answers
Suppose when solving a system of linear equations in two variables, both variables happen to cancel, leaving you with a false statement. How should this be interpreted?
A. The system of equations has infinitely many solutions.
B. The system of equations has no solution.
C. The system of equations is unsolvable.
D. The system of equations has been solved incorrectly.
Answers
Step-by-step explanation:
C. The system of equations is unsolvabl
what is the answer?? give me correct answer pls
with full solution...
Answers
Answer:
4
Step-by-step explanation:
43/16 times 125 equals 335.9375
