Answer:
38.9°
Step-by-step explanation:
The three angles in a triangle add up to 180°. Also, a right triangle has a right angle in it. A right angle is 90°.
90° + 51.1° + x = 180°
141.1 + x = 180°
subtract 141.1°
x = 38.9°
The following data set represents the age of
people in line to vote.
27, 52, 64, 41, 33, 38, 42, 60, 72,68
Mean:
Median:
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Breaking the meaning down in simpler terms}[/tex]
[tex]\huge\textbf{Median:}\\\large\text{is understood to be \bf the number in the center (also known as}\\\large\textbf{the middle number)}[/tex]
[tex]\huge\textbf{Mean:}\\\large\text{is understood to be the \bf total.}[/tex]
[tex]\huge\textsf{Formulas for each term}[/tex]
[tex]\huge\text{Median:}\\\large\textsf{To find the median you have to put each of your numbers in your data}\\\large\textsf{set from LEAST (smallest) to GREATEST (biggest). }[/tex]
[tex]\huge\text{Mean:}\\\mathsf{\dfrac{sum\ of\ all\ terms}{number\ of\ terms}= mean}[/tex]
[tex]\huge\textbf{SOLVING FOR THE QUESTION}[/tex]
[tex]\huge\textsf{Median:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textbf{Conversion: }\large\text{27, 33, 38, 41, 42, 52, 64, 68, 72}\\\\\large\textsf{Make sure it is even between both sides of the data plot.}\\\\\large\text{It seems to even on BOTH sides of \boxed{\textsf{14}} so it could possibly be your}\\\large\text{median.}[/tex]
[tex]\huge\textsf{Mean:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textsf{Your equation: }\mathsf{\dfrac{27 + 52 + 64 + 41 + 33 + 38 + 42 + 60 +72 + 68}{10}}\\\\\mathsf{\dfrac{79 + 64 + 41 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{143 + 41 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{184 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{217 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{255 + 42 + 60 + 72 + 68}{10}}[/tex]
[tex]\mathsf{\dfrac{297 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{357 + 72 + 68}{10}}\\\\\mathsf{\dfrac{429 + 68}{10}}\\\\\mathsf{\dfrac{497}{10}}\\\\\mathsf{\approx 49.70}\\\\\large\text{From the looks of it \boxed{\rm{\dfrac{497}{10}}}\ or \boxed{\text{49.70}} could possibly be your mean.}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Abby purchased a stop light at a garage sale for 12$. She later sold the stop light on Craigslist for 16$. What was the present increase
Answer:
33.3% increase
P% = Y/X - 1
P% = 16/12 - 1
p = 0.3333
Convert
0.3333 = 33.33%
Each planter has a base of 3
1
2
in by 1
3
4
in.
What is the area covered by all the planters?
Answer:
outcome, sample space.AND EVENT
Find the 1st term of an arithmetic sequence whose common difference is - 9 and whose 101st term is - 902.
Answer:
a = -2
Step-by-step explanation:
Tn = a+(n-1) * d
-902 = a + (101-1) * -9
-902 = a - 900
a = -902 + 900
a = -2
Find the area of the circle. Use 3.14 for pi. Round to the nearest unit. A circle has a diameters of 18 centimeters. A. 1,017 cm2 B. 254 cm2 C. 57 cm2 D. 28 cm2 2 / 5
Answer:
B. 254 cm²
Step-by-step explanation:
Hello!
CircleThe formula for the area of a circle is [tex]A = \pi r^2[/tex]
A is areaπ is pi (roughly 3.14)r is the radiusThe radius is half of the diameter, given with the formula [tex]D = 2r[/tex]
AreaUsing the information, we can first solve for the radius.
[tex]D = 2r[/tex][tex]18 = 2r[/tex][tex]9 = r[/tex]The radius is 9
Now we can plug 9 into the area formula:
[tex]A = \pi r^2[/tex][tex]A = \pi (9^2)[/tex][tex]A = 81\pi[/tex]We are going to use 3.14 for pi
[tex]A = 81(3.14)[/tex][tex]A = 254.34[/tex]The area is 254.34cm².
We are going to round to the nearest whole centimeter, which is roughly 254cm² or [tex]\boxed{\text{Option B}}}[/tex]
What is the period of the function graphed below?
Answer:
2
Step-by-step explanation:
The period is the distance between two peaks
What is the value of areas of triangles if height is 12 m and base is 6m ?
Answer:
36 sqm
Step-by-step explanation:
Area = base x height /2
= 12 x 6 /2
= 36sqm
3) Find the next three terms in the following geometric sequence. 8, 20, 50, ...
Answer:
125,312.5, 781.25
Step-by-step explanation:
times previous number in sequence by 2, then add half of same previous number
A book has 180 pages. Haley read 12 pages each day.after a certain number of days there are 60 pages left,which equation and solve for X gives the number of days he read
Answer: She read for 10 Days, equation below
Step-by-step explanation:
Number of pages = 180
Rate = 12pages Per day
Number of days read = (180-60) /12
Days read = (total no of page - page left)/page read per day
= 120/ 12 = 10 days
Days remaining = pages left /page per day
=60/ 12 = 5
96 Eight small bricks have the same mass as three large bricks The mass of one small brick is 1.5kg. What is the mass of one large brick?
Answer:
4 kg
Step-by-step explanation:
Since the mass of one small brick is 1.5 kg, the mass of 8 small bricks is 1.5 × 8, or 12 kg. Since 12 kg is the total mass of 3 large bricks, it follows that each large brick will have a mass of 12 ÷ 3, or 4 kg.
20 yd
17 var
15 yd
16 yd
17 yd
6 in
I need the surface area
Answer:
1120 yards cubed
Step-by-step explanation:
hope this helps
have a good day
Help please anyone please
Answer:
You seem to have two questions, so I will answer both!
Step-by-step explanation:
The answer for the cube volume is D
If you remove a cube from another cube it is affecting more than one side, hence the -1 on two differents p's.
The true area of that house is 48m^2
Take the before scaling it, multiply it by the scale (200)
Square your answer and get around 48 m^2
(You actually get like 48.9897 etc, but we are kind of ignoring that)
find the value of each variable
x=
y=
If the measure of each interior angle of a polygon is 150°, how many sides does it have?
(C) Asri's height is 2x cm. Adib's height is 6 cm less than Asri's height. Irfan's height is 2 times of Asri's height. Write an algebra expression to represent:
(i) Irfan's height, 2 Marks
(ii) the difference in height between Irfan and Asri. 2 marks
Step-by-step explanation:
I don't know if I got that right
Howie wants to get a car loan with 4% simple interest rate. If the car
costs $25,000, how much would Howie need to pay back at the end of
one year, including the interest?
Answer: $26,000
Explanation:
i = simple interest
P = 25,000 = amount loaned
r = interest rate in decimal form = 0.04
t = number of years = 1
So,
i = P*r*t
i = 25000*0.04*1
i = 1000
Howie needs to pay $1,000 in interest on top of the $25,000 loaned to him. In total, he needs to pay back 1,000+25,000 = 26,000 dollars.
pls help me ?!?Liz purchases groceries her village store that totaled $55 before tax. how much did she have to pay in total after tax?
Answer:
I don't understand the question
Please help me on this!
Answer:
B. the value depreciates at a rate of 5% each year
Step-by-step explanation:
(1 - 0.05) = .95
-0.05 = depreciates by 5%
Have a nice day! :)
Can someone please help me with this
Answer:
Need to see question
Step-by-step explanation:
What's the question?
the length of a rectangle plus its width is 35 cm the area 306 what are the length and width of the rectangle
Step-by-step explanation:
Let width be w, length be l
l + w = 35, so w = 35 - l
lw = 306
l(35-l) = 306
35l - l^2 = 306
l^2 - 35l + 306 = 0
(l - 17)(l - 18) = 0
l = 17 or 18
When length = 17, width = 35-17 = 18
When length = 18, width = 35-18 = 17
What are the solutions of the equation 4x2 3x = 24 – x? –3, 2, or 4 –3 or 2 –2, 3, or 4 –2 or 3
Answer:
2 and - 3
Step-by-step explanation:
I've attached my work...
- 4 + 20 / 8 -> 16/8 = 2
- 4 - 20 / 8 -> -24/8 = -3
Please give me feedback on my repsomse by commenting,
any way i can improve showing my work?
Hope it helps, let me know if you have questions !
Have a nice rest of your day :)
Scarlett drew a scale drawing of a campsite. The tent, which is 8 feet wide in real life, is 2 inches wide in the drawing. What is the scale of the drawing?
Answer:
25% or 0.25
Explanation:
Based on the given conditions, formulate: 2 divided by 8
Reduce the fraction: 1/4
get the result: 25% or 0.25
Answer: 25% or 0.25
Please Vote Me Brainliest. Thank You.
Answer:
48 : 1 or 48 to 1
Step-by-step explanation:
to find out the answer we have to first find out what 8 feet is in inches as shown below
8 * 12 = 96
then we apply the inch value to a scale factor setup where 96 is the larger set and 2 is the smaller image
96 : 2
find the least common denominator...
96 / 2 : 2 / 2
= 48 : = 1
and then rewrite the answer
48 : 1
good luck with ur studies, hope this helps with future problems ^^
The mean age of 11 women in an office is 19 years old. The mean age of 11 men in an office is 26 years old. What is the mean age (nearest year) of all the people in the office?
Answer:
22.5
Step-by-step explanation:
The mean is calculated by taking the sum of the values and dividing by the count.
For instance, for the 11 women, with the mean being 19, we can see that the ages summed to 209:
11 x 19 = 209
And then we can do the same for men:
11 x 26 = 286
And now we can combine the sum and count of the men and women to find the mean for the office:
286 + 209 = 495
495/22 = 22.5
please help me...asap
I need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight.
Answer:
x = 35
Step-by-step explanation:
The halves of a bisected angle have the same measure.
__
(x +34)° = 69°
x = 69 -34 = 35
The value of x is 35.
A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.
Consider the graph of function r.
Use the graph to complete each statement.
Function r has
and
. Based on the instantaneous growth rate, the population decreased
days and the population increased
days.
Answer:
[tex]r(x) = 0.05 (x^{2}+1 )x-6[/tex]
Step-by-step explanation:
Function r has two complex zeros and one real zero. Based on the instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.
a town is 61km north of 23km east of town B.bCalculate the bearing of A from B
Answer:
20.7°
Step-by-step explanation:
Bearing angle is measured clockwise from north. The geometry can be modeled by a right triangle with the sides equal to the distances north and east of town B. The tangent relation can be used to find the angle.
__
The attachment shows the geometry. The relevant angle relation is ...
Tan = Opposite/Adjacent
tanIβ) = 23/61 . . . . . where β is the bearing angle
The angle value can be found using the arctangent function.
β = arctan(23/61) ≈ 20.659°
The bearing of A from B is about 20.7°.
Erica's travel plans include 4 independent flights. The chance of a flight being on time is 90%. What is the probability that all of Erica's flights will be on time? А 36% B 66% С 76% D 86%.
Since the chance of a flight being on time is 90%. The probability that all of Erica's flights will be on time is B 66%.
To answer the question, we need to know what probability is
What is probability?This is the likelihood for an event to occur. It is given by
P(event) = number of required outcomes/total number of outcomes
Now, given that Erica's travel plans include 4 independent flights. The chance of a flight being on time is 90%. So, P(flight) = 90%. Since they are indepent, we multiply their probability.
Probability that all of Erica's flights will be on time
So, the probability that all of Erica's flights will be on time is P(on time) = P(flight) × P(flight) × P(flight) × P(flight)
= [P(flight)]⁴
= (90%)⁴
= (0.9)⁴
= 0.656
≅ 0.66
= 66%
So, the probability that all of Erica's flights will be on time is B 66%.
Learn more about probability here:
https://brainly.com/question/25870256
#SPJ1
Simplify the expression 7t +3- 2 t
Answer:
5t+3
Step-by-step explanation:
1 Collect like terms.
(7t-2t)+3
2 Simplify.
5t+3
Answer:
(7t - 2t) + 3
Combine the like terms that include t.
[tex]7t - 2t = 5t[/tex]
Turn into equation.
[tex]5t + 3[/tex]
__________________________________________________________
Choose the appropriate trigonometric ratio and solve for x. Round your answer to the nearest tenth.
Answer:
62.7
Step-by-step explanation:
Cos(ang) = Adjacent / hypotenuse
cos(37) = 48/x
x = 48 / cos(37)
x = 62.71
Answer:
x = 60.1
Step-by-step explanation:
- The provided side length is adjacent to given degree
- and we are lookin for the hypotenuse
SOH CAH TOA stands for,
sinx = opposite / hypotenuse
cosx = adjacent / hypotenuse
tanx = opposite / adjacent
cosine fulfills everything we have provided so we will choose cos
NOTE: x in cosx represent the degree amount
Solving:
cosx = adjacent / hypotenuse
cos(37°) = 48 / x
multiply both sides by x,
cos(37°)x = 48
divided both sides by cos(37°) to get x alone
x = 48 / cos(37°)x
x = 60.1025