Answer:
3
Step-by-step explanation:
There are 3 outliers. 13, 82, 83. These outliers are marginally off by the rest of the set.
There is one outlier in the data. The value of outlier is 13.
What is an outlier?An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. It is a value that "lies outside" (is much smaller or larger than) most of the other values in a set of data. The outliers can be found from median and quartile range.
For the given situation,
The heights of trees(in inches) are 13, 82, 83, 95, 92, 98, 96.
Arrange them in ascending order,
⇒ [tex]13, 82, 83, 92, 95, 96, 98[/tex]
Here, median = 95
So, first quartile Q₁ = 82
third quartile, Q₃ = 96
Interquartile range, IQR = Q₃ - Q₁
⇒ [tex]96-82[/tex]
⇒ [tex]14[/tex]
Now, [tex]IQR(1.5)=14(1.5)[/tex]
⇒ [tex]21[/tex]
Then, high value = Q₃+1.5 IQR
⇒ [tex]96+21[/tex]
⇒ [tex]117[/tex]
Low value = Q₁-1.5 IQR
⇒ [tex]82-21[/tex]
⇒ [tex]61[/tex]
From the data, the value of outlier should lie less than 61 and greater than 117.
Hence we can conclude that there is one outlier in the data. The value of outlier is 13.
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Help Needed! What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3
Answer:
21
Step-by-step explanation:
Work out the size of angle x
Next to 164 and 90
Answer:
x=106 degrees
Step-by-step explanation:
I'm going to assume that this is a circle since you didn't give it to me
So you want to add 164 and 90 together and subtract the sum by 360
360-(164+90)=106
So you want to use PEMDAS (order of operations) to solve this
so do what's in the perenthesis first so 164+90=254Then you want to subtract 254 from 360 so 360-254=106x=106 degrees
Evaluate: ab+a^2, if a=937 and b=63
The value of expression ab + a² is, 9,37,000
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ ab + a²
And, a = 937, b = 63
Now, Substitute the value of a and b in expression as,
⇒ ab + a²
⇒ 937 × 63 + 937²
⇒ 937 (63 + 937)
⇒ 937 × 1,000
⇒ 9,37,000
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M<6=(x+10), m<2=(x+15)
<6 and <2 are alternate interior angles
Answer:
ano ang pinag kaiba noon kaysa ngayon
Can someone help me please :)
Step-by-step explanation:
the answer is in the attachment.
Tina went out to eat and her bill was $24.75.
She wants to leave the waiter a 20% tip. How
much more money will be added to her bill
once she included the tip?
Answer:
your awnser should be. 24.75 + 20% = $29.70
so the amount added to her bill is $4.95
Answer:
the bill will be 4.95 more than the original cost without the 20% tip.
Step-by-step explanation:
cost before tip: 4.75
cost after 20% tip: 29.70 or 30.00 (rounded)
1 Expand and simplify each expression
a) x(x+2)+x(x+5)
Find the 3rd term in the sequence
Suppose I randomly choose 4 distinct integers between 1 and 60. Is it true, or is it not true, that at least 2 of them must differ by no more than 19.
Answer:
It’s true
Step-by-step explanation:
Proof by induction
Let the four chosen numbers be x_1, … x_4 and, without loss of generality, let x_1 < x_2, … < x_4.
For x_1 = 1, the smallest possible choice, let x_2 = x_1 + 20 = 21 be the smallest possible choice that has a difference larger than 19. Likewise, x_3 = x_2 + 20 = x_1 + 40 = 41. Then x_4 has to be at least x_3 + 20 = x_1 + 60 = 61 which is out of range.
For the induction, suppose that x_4(n) = x_1(n) + 60 > 60 and therefore x_4(n) can’t be chosen for a given x_1(n). Then incrementing x_1(n+1) = x_1(n) + 1 would require x_4(n+1) to be at least x_1(n) + 1 + 60 = x_4(n) + 1 > 61, so this is out of range as well.
For another induction, suppose that x_4(n) = x_2(n) + 40 > 60 and therefore x_4(n) can’t be chosen for a given x_2(n). Then incrementing x_2(n+1) = x_2(n) + 1 would require x_4(n+1) to be at least x_2(n+1) + 40 = x_4(n) + 1 > 61, so this is out of range as well.
Likewise, for the induction, suppose that x_4(n) = x_3(n) + 20 > 60 and therefore x_4(n) can’t be chosen for a given x_3(n). Then incrementing x_3(n+1) = x_3(n) + 1 would require x_4(n+1) to be at least x_3(n+1) + 20 = x_4(n) + 1 > 61, so this is out of range as well.
Therefore all choices of x_1, x_2, x_3 with differences greater than 19 leaves no choice of x_4 within range with x_4 > x_3 + 19.
plssssssssssssssssss hellllllllllp meeeee
Answer:4b+5=1+5b
Step-by-step explanation: b= 14b I HOPE THIS HELPS AND HAVE A GOOD DAY!!!! And i really do hope this did help.
Enter the value of (−8)(45)(18).
5r + 2(3r - 1) = -46
please show the work
Answer:
R = - 4
Step-by-step explanation:
5 r + 6r - 2 = - 46
11 r - 2 = - 46
11 r = - 46 + 2
11 r = - 44
r = - 4
N/-3 - 2 = 8 n=___ help
Answer:
-30
Step-by-step explanation:
[tex]\frac{N}{-3} -2 =8[/tex] ( Add 2 on both sides)
[tex]\frac{N}{-3} = 10[/tex] ( Multiply by -3 on both sides)
[tex]N = -30[/tex]
Verify:
[tex]\frac{-30}{-3} =10[/tex] (Correct)
Answer:
[tex] \frac{n}{ - 3} - 2 = 8 \\ \frac{n}{ - 3} = 8 + 2 \\ = 10 \\ n = 10 \times - 3 \\ n = - 30[/tex]
The budget for a school dance is 370.00. The band charges $65.00 per hour. What is the maximum number of hours the school can have the band play at the dance?
Ben has $19 to spend. He spent $7.25, including tax, to buy a notebook. He needs to save $2.75 but he wants to buy a snack. If pretzels cost $0.50 per package including tax, what inequality would show the maximum number of packages that Ben can buy?
PLS HELP ASAP:
- what is the INEQUALITY FOR THIS PROBLEM. THAT'S ALL IM ASKING. DON'T SOLVE IT.
Answer:
($19 - $7.25) - $2.75 ÷ (0.50p) ≤ 19
Step-by-step explanation:
First, let's define the variable:
p = pretzel packages
Let's first find out how much money Ben has after buying the notebook.
$19 - $7.25 = $11.75
So, we know that Ben has $11.75 left.
The inequality would be: ($19 - $7.25) - $2.75 ÷ (0.50p) ≤ 19
Cards in a pack are black or red in the ratio
black: red = 2:5
What fraction of the cards are red?
Ovo
If g(x)=5/4x-7 what is the value of g(12)
Answer:
g(12) = 8
Step-by-step explanation:
g(x) = 5/4(12) - 7
g(x) = 5 × 3 - 7
g(x) = 15 - 7
g(x) = 8
i hope this helps :)
Help me I’ll mark brainliest please
Answer:
I don't know sorry but I really want brainliest
tan 2A + sin 2A=4 tan A/(1 - tan4 A)
Answer:
[tex]when \: \\ \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } \: \: and \\ \sin(2x) = \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ then \\ \sin(2x) + \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } + \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x)(1 + {( \tan(x)) }^{2} + 2 \tan(x) (1 - {( \tan(x)) }^{2} }{(1 + {( \ \tan(x)) }^{2}(1 - {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x) \times 2 }{1 - {( \tan(x) }^{4} } \\ = \frac{4 \tan(x) }{1 - {( \tan( \times ) )}^{4} } [/tex]
Step-by-step explanation:
If you need any explanation. I can do it, my friend. you can communicate with me to that or any thing do you need in math
40 is 20 of what number
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{40 is 20\% of what time number?}\\\\\\\bullet \large\bold{We\ are\ looking\ for\ your\ UNKNOWN\ number; we\ can\ the\ value}\\\large\bold{is\ \underline{a}\ for\ our\ answer!}\\\bullet\large\bold{REMEMBER: Percentages\ are\ out\ 100\ \& the\ word\ \underline{of}\ means\ \underline{multiply}}[/tex]
[tex]\huge\text{NOW LETS SOLVE FOR YOUR ANSWER!}[/tex]
[tex]\bold{Equation: 20\%\ \times \ a\ =\ 40}\\\\\bold{a = \dfrac{40}{20\%}}}\\\\\bold{20\% = \dfrac{20}{100}\rightarrow 0.2}}}\\\\\bold{Equation: a = \dfrac{40}{0.2}}\\\\\bold{\dfrac{40}{0.2}=200}\\\\\bold{a=200}\\\\\boxed{\boxed{\bold{Answer: 200}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Name the property of addition modeled here. If a = b, then a + c = b + c. A. Addition Property of Equality B. Commutative Property of Addition C. Associative Property of Addition D. None of the above I think it is either B or C
Answer: I'm pretty sure it's B
Step-by-step explanation:
Answer:
Do you still need an answer? If so, B!
Step-by-step explanation:
Just by looking at the equation you can see the addition symbols. Since there are also letters, you can use that information to help you solve the answer using the key word: Commutative.
For Example: If Lily needs $40 and she already has $30 how many more dollars does she need?
Answer: m-$30=$40 m=$10
A worker on the production line is paid a base salary of $170 per week plus $1.21 for each unit produced. Write an equation to represent his earnings of $491.86 for a week when he produced x units. How many units did he produce? Use pencil and paper. If the worker had produced twice that number of units, what would his earnings have been? Show your work.
Answer:
Part 1)
$170 + $1.21x = $491.86
Part 2)
170 + 1.21x + 491.86
1.21x = 491.86 - 170
1.21 x = 321.86
1.21x/ 1.21 = 321.86/ 1.21
x = 266 units produced
Part 3)
Twice that number of units = 266 x 2 = 532
$170 + ($1.21 x 532) =
$170 + $643.72 = $813.72
13. Find AC. PLEASEE I NEED HELP!!!!!
cell phone provider offers a plan that costs $40 per month plus $0.20 per text message sent or received. A comparable plan costs $70 per month but offers unlimited text messaging.
Answer:
the second one is the better deal
Step-by-step explanation:
2v+7=3
Help me out
I’m dating vinnie hacker
Answer:
v= -2
Step-by-step explanation:
2v+7=3 ------> 2v = 3 - 7 ----------> 2v = -4 ( divide by 2)
v = -2
A car is parked 80 feet from the base of a 120-foot building. What is the angle of depression from the top of the building to the car? Round your answer to the nearest degree.
A 48° degrees
B 34° degrees
C 42° degrees
D 56° degrees
Three friends went to Texas Roadhouse for dinner. The total bill was $76.25. They left the server a 20% tip and the Montgomery County tax rate is 9.5%.
Answer:
$68.24
Step-by-step explanation:
Three friends went to Texas Roadhouse for dinner. The total bill was $76.25. They left the server a 20% tip and the Montgomery County tax rate is 9.5%.
Given data
The total bill was $76.25
tip
=20/100*76.25
=0.2*76.25
=15.25
Tax
=9.5/100*76.25
= 0.095*76.25
=$7.24375
In all the bills is 76.25-15.25+7.24375
=61+7.24375
=$68.24
Ursula likes to kayak. She uses the equation y=4x to calculate how far she has traveled, where y represents the number of miles traveled, and x represents the number of hours spent kayaking.
How many hours must Ursula kayak to travel 10.4 miles?
Question 3
Find the slope-intercept form of the equation of the line that passes through (-6, 2)and is parallel to y=2x+3
Answer:
How to use Algebra to find parallel and perpendicular lines. ... y = mx + b. Slope- Intercept Form ... Find the equation of the line that is: ... For y = 3x + 2: the slope is 3, and y- intercept is 2.
THIS IS FOR AN EXAM NEED HELP!!! Directions: Show all your steps as you solve the following problems. Round the solutions to the nearest hundredth if necessary.
7. On a 40‐point test, Steve received an 80%. How many points did he receive on the test?
8. Of the 8760 hours in a year, most televisions are on for 2190 hours. What percent is this?
9. The population of a town increased from 620 to 700. What is the percent of increase?
10. The population of a small town increased 23% from its population in 2000 to its population in 2003.
If the population of the town in 2000 was 25,314, what was its population in 2003?
11. To control his weight, Joel reduced his calorie intake from 2500 calories to 1950 calories each day. What was his percent of decrease for calorie intake?
12. The sales tax in Whittle City is 7%. How much tax is charged on a purchase of $53?
13. What is the simple interest on $2500 invested at an interest rate of 6% for 2 years?
14. Shawn earned a 5% commission on a $500 sale. How much did he earn?
15. Andrew measured the time it took for an apple to fall 50 feet as 1.95 seconds, but his calculations show that it should be 1.77 seconds. What was his experimental error?
1. 32 points 2. 25% 3. 2,100 4. 22% 5. 56.71 6. $300 7. $25 8. The answer for given problem is -2, but Andrew get -21.6 which is wrong.
Step-by-step explanation: brainliest pls ^^