The hiking path to the top of a mountain makes, at the steepest place, an angle of 20° with the
horizontal, and it maintains this constant slope for 500 meters, as illustrated below. Which of the
following is the closest approximation to the change in elevation, in meters, over this 500-meter
section?
500 meters
20
A 20
B) 170
180
D 250
We are given:
a right angled triangle with the angle of elevation = 20 degrees
Hypotenuse of the Triangle = 500 m
Finding the change in Elevation:
We will use trigonometry in the given triangle to find the length of the perpendicular of the triangle
Using trigonometry, we found that the perpendicular = 500 * Sin 20 degrees
Perpendicular = 500 * 0.342 [sin(20 degrees) = 0.342]
Perpendicular = 171 m
The closest value to 171m in the given options is 170m
Therefore, 170m (option B) is correct
Derrick really wants to earn at least $330 at the Bike Shop this week before he goes on vacation. He earns $150 in a week plus $20 for each bicycle he assembles. Which inequality would help Derrick determine how many bicycles (b) he needs to put together?
Answer:
150 + 20x ≥ 330
Step-by-step explanation:
"At least" indicates that you should use the greater than or equal to sign. His weekly wage and the bicycle assembly money when added must be at least 330, so 150 and 20x are on the same side. The 20x represents the $20 for each bicycle multiplied by the amount of bicycles he assembled.
what is an equation for the translation of y=|x| left 7 units?
Answer:
y=|x+7|
Step-by-step explanation:
to move an absolute value equation to the left, all you have to do is add 7 to the inside of the absolute value:
y=|x+7|
We can check that this works, because the x-intercept moved from (0, 0) to (0, -7), meaning that the whole graph got translated 7 units to the left.
Find the length of line segment UV.
Answer:
The length of the line segment UV is 76 units
Step-by-step explanation:
In a triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length
In Δ ONT
∵ U is the mid-point of ON
∵ V is the mid-point of TN
→ That means UV is joining the mid-points of two sides
∴ UV // OT
∴ UV = [tex]\frac{1}{2}[/tex] OT
∵ UV = 7x - 8
∵ OT = 12x + 8
∴ 7x - 8 = [tex]\frac{1}{2}[/tex] (12x + 8)
→ Multiply the bracket by [tex]\frac{1}{2}[/tex]
∵ [tex]\frac{1}{2}[/tex] (12x + 8) = [tex]\frac{1}{2}[/tex] (12x) + [tex]\frac{1}{2}[/tex] (8) = 6x + 4
∴ 7x - 8 = 6x + 4
→ Add 8 to both sides
∴ 7x - 8 + 8 = 6x + 4 + 8
∴ 7x = 6x + 12
→ Subtract 6x from both sides
∴ 7x - 6x = 6x - 6x + 12
∴ x = 12
→ Substitute the value of x in the expression of UV to find it
∵ UV = 7(12) - 8 = 84 - 8
∴ UV = 76
∴ The length of the line segment UV is 76 units
Hhhhhheellllppppppp asap
Answer:
A
Step-by-step explanation:
Answer:
i think A is the answer
Step-by-step explanation:
5.5 is worth more than 5.05 is this is not what ur asking plz clarify :)
In October of 2019, Gallup asked a random sample of 1,506 Americans which of two approaches to punishing murder they thought was better, the death penalty or life without possibility of parole. For the first time since Gallup began asking the question in 1985, a majority of Americans now say life imprisonment is a better approach for punishing murder than is the death penalty. According to the 2019 Gallup death-penalty poll, 60% percent of Americans asked to choose whether the death penalty or life without possibility of parole "is the better penalty for murder" chose the life-sentencing option. 36% favored the death penalty.
Required:
a. Find a 95% confidence interval for the proportion adults in the US that now believe life imprisonment is a better approach for punishing murder.
b. Interpret your interval above in the context of this problem.
c. Use your interval to find the margin of error associated with this confidence interval.
d. If we increase the level of confidence to 98%, will the interval be wider or narrower?
Answer:
a
The 95% confidence interval is [tex]0.5753< p <0.62474[/tex]
b
This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval
c
The margin of error is [tex]E = 0.02474 [/tex]
d
The confidence interval becomes wider
Step-by-step explanation:
From the question we are told that
The sample size is n = 1506
The sample proportion is [tex]\^ p = 0.60[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.96 * \sqrt{\frac{0.60 (1- 0.60)}{1506} } [/tex]
=> [tex]E = 0.02474 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.60 - 0.02474 < p <0.60 + 0.02474[/tex]
=> [tex]0.5753< p <0.62474[/tex]
This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval
Generally the level of confidence varies directly with the critical value of [tex]\frac{\alpha }{2}[/tex] and this in turn varies directly with the margin of error which when sample proportion is constant it determines the width of the confidence interval so when the level of confidence increases the confidence interval becomes wider
Solve for x: 3 − (2x − 5) −8
c. x −3
Answer:
-8cx−2x+5
Step-by-step explanation:
solve and evaluate expression
Answer:
hshd
Step-by-step explanation:
hhshahj
An internet site sells 75 feature type cell phones. The ratio of the number of smartphones to the number of feature phones is 3:5. How many cell phones are smart phones?
A school newspaper estimates that their academic team will win 25 out of 30 matches for the season. After 15 matches, they have won 12. If the team continues winning at this rate, what will be the percent error of the newspaper's estimate once the season is over? Round to the nearest percent
Answer:
4
Step-by-step explanation:
The percent error of the newspaper's estimate once the season is over will be 4%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A school newspaper estimates that their academic team will win 25 out of 30 matches for the season.
Then the percentage will be given as,
P = (25 / 30) x 100
P = 0.8333 x 10
P = 83.33%
After 15 matches, they won 12. Then the percentage will be given as,
P = (12 / 15) x 100
P = 0.80 x 100
P = 80%
If the team continues winning at this rate. Then the percent error of the newspaper's estimate once the season is over will be
P = [(83.33 - 80) / (83.33)] x 100
P = 0.04 x 100
P = 4%
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ5
Anybody know the answer to this?
Answer:
The answer is 18
Step-by-step explanation:
Substitute b for -3 and y for 5 so 3*5=15
You then subtract -3 from 15 so a negative minus a negative is a positive so the equation would be 3*5=15--3= 3*5=15+3=18
Answer:
3*5 - -3 = 18
What is the result of 72 divided by 12? 6 8 9 12
Answer:
the answer is 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Hope this helps!!!!!!
The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unknown population mean. If a random sample of 22 departments is taken and results in a sample mean of 1460 employees, find the error bound (EBM) of the confidence interval with a 80% confidence level.
Answer:
EBM = +-54.126
Step-by-step explanation:
In this question we have confidence interval to be 80%
The formula to solve this is in the attachment.
Bar X = 1460
Z-alpha/2 = 1.282
Sd = standard deviation = 198 employees
n = 22 departments
After we have inserted all values in to the formula we have:
1460 +-(1.282*198/√22)
= 1460+-(54.12604)
= (1405.87, 1514.126)
The error bounded mean EBM
= +-z-alpha/2 x (sd/√n)
= 1.282 x 198/√22
= 1.282 x 42.22
EBM = +-54.126
given the function f (x) = 2(x + 4), find x if f (x) = 20
Answer:
x=6
Step-by-step explanation:
f(x)=2(x+4)
20=2(x+4)
10=x+4
6=x
x=6
Si cada 5 minutos me pagan 10 puntos cuanto tiempo me tomara llegar a 250.000 puntos
If every 5 minutes they pay me 10 points, how long will it take me to reach 250,000 points
Help Pls/ Ayuda porfa
Step-by-step explanation:
Free point yes idufjeiduejsjdidjd
Answer:
by my calculations the answer is 250 weeks.
Please mark me brainliest
1 point
6. Precipitation for the month of March was 4 inches less than average. In
April the precipitation was 14 inches less than average. How many inches
below average was the precipitation for both March and April?
Answer:
4 inches because March was 4 so april has to be 4 too
Step-by-step explanation:
6 ones 453 thousandths + 4 hundredths =
Answer:
your answer is 463
Step-by-step explanation:
Hope this help you
have a great thanksgiving
A movie theater charges $7.50 for adults and $4.50 for children. For a recent showing of the movie "Maleficent," the
theater sold 43 tickets and made a total of $238.50. How many children's tickets and how many adult tickets were sold?
Answer
9 and 10
Step-by-step explanation:
I need help on this question
Answer:
B. 63 degrees
Step-by-step explanation:
Its the same angle as the one above it.
I hope this helps :)
Have a nice day!
Answer:
B
Step-by-step explanation:
If lines AB and CD are parallel, then angle h is equal to 63 degrees
12 cookies for 3 students rate and unit rate
Answer:
3:12 1:4
Step-by-step explanation:
Hope this helps! (^-^)
Answer: 4 cookies per student.
Step-by-step explanation:
his is a fraction equal to
12 cookies ÷ 3 students
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 3
12 cookies ÷ 3
3 students ÷ 3
=
4 cookies
1 student
=
4 cookies
student
= 4 cookies per student
what can be visualized as a series of vertical lines around the Earth
Answer:
roads?
Step-by-step explanation:
i think thats right
Adam got 56 out of 84 correct in his test.
What fraction of the marks did he get correct?
Give your answer in its simplest form.
Answer:
56/84
Step-by-step explanation:
Answer:
fraction: 2/3
percentage: 66.6%
Step-by-step explanation:
Consider RS endpoints R(-2,1) and S(4,4) Find point Q that is 2/3 away NEED THIS ASAP PLEASE ANSWER
The question does not clearly specify from which endpoint Q is at 2/3. I'll assume Q is 2/3 away from R.
Answer:
The point Q is (2,3)
Step-by-step explanation:
Take the aligned points R(-2,1), S(4,4), and Q(x,y) in such a way that Q is 2/3 away from R (assumed).
The required point Q must satisfy the relation:
d(RQ) = 2/3 d(RS)
Where d is the distance between two points.
The horizontal and vertical axes also satisfy the same relation:
x(RQ) = 2/3 x(RS)
[tex]x_R-x_Q=2/3(x_R-x_S)[/tex]
And, similarly:
[tex]y_R-y_Q=2/3(y_R-y_S)[/tex]
Working on the first condition:
[tex]-2-x=2/3(-2-4)=2/3(-6)[/tex]
Removing the parentheses:
[tex]-2-x=-4[/tex]
Adding 2:
[tex]-x = -2[/tex]
x = 2
Similarly, working with the vertical component:
[tex]1-y=2/3(1-4)=2/3(-3)[/tex]
Removing the parentheses:
[tex]1-y=-2[/tex]
Subtracting 1:
[tex]-y = -3[/tex]
y = 3
The point Q is (2,3)
would it be 20.9 increase or decrease?
Answer: increase because theres no negative number next to it
Step-by-step explanation:
Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin.
Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?
Answer:
multiply 1 1/3 by 8x6 and see how many packages
Evaluate the given integral by making an appropriate change of variables. 3 x − 6y 8x − y dA, R where R is the parallelogram enclosed by the lines x − 6y
Answer:
Step-by-step explanation:
Hope this helps!
Please mark brainliest!
Oh if you need more information here is a more of an explanation
You get x and y in terms of u and v by setting u=x-2y and v=3x-y and then doing some systems of equations. You get the Jacobian by taking the partial derivatives of x and y with respect to u and v (using the equations x=(2v-u)/5 and y=(v-3u)/5) and then taking their determinate.
Help me plzzz i need help.
Answer:
Perimeter: 7.8Area: 3.1Step-by-step explanation:
Perimeter = all sides added up together2.8 + 2.8 + 1.1 + 1.1 = 7.8Area = L × W2.8 × 1.1 = 3.08Round 3.08 to the nearest tenth: 3.08 → 3.1I hope this helps!
Please help me as fast as you can please
Answer:
A B and D
Step-by-step explanation:
answers A B and E are correct because you started with 4500
Plzzzz Helppppp
What’s 26+5×1÷2 Explain Your Answer
Answer:
[tex]26 + 5 \times \frac{1}{2} \\ \\ = 26 + \frac{5}{2} \\ \\ = \frac{57}{2} [/tex]
Answer: 28.5
Step-by-step explanation: 26 + ((5*1) / 2 = 28.5. Knowledge.
CUZ THATS THE WAY I LIKE TO LIVE MY LIFE, AND I KNOW THAT EVERYTHINGS GONNA BE JUST FINE!!
(I'm not going to get an answer in time, but this is for people in the future who are going to need it)
Which reigon represents the solution to the given system of inequalities
Answer:
I think the answer is B.
X⁴ - 2x³- 11x² + 30x - 20 entre x² + 3x - 2