Answer:
Step-by-step explanation:
How to Find Outliers Using the Interquartile Range(IQR)
Step 1: Find the IQR, Q1(25th percentile) and Q3(75th percentile). ...
Step 2: Multiply the IQR you found in Step 1 by 1.5: ...
Step 3: Add the amount you found in Step 2 to Q3 from Step 1: ...
Step 3: Subtract the amount you found in Step 2 from Q1 from Step 1:
two parallel lines are cut by a transversal. what is the measure of angle 8
Answer:
A
Step-by-step explanation:
∠4 and ∠8 are corresponding angles
corresponding angles are congruent ( equal to each other )
so if ∠4 = 100° then ∠8 also equals 100°
Answer:
A
Step-by-step explanation:
8 is equal to 4(100) because it is corresponding angle, corresponding angle are equal to each other...If 4 is 100 then 8 will be 100
A total of 120 smoothies were sold on the first day of the month from July-December. True or false
Answer:
the answer would basically be 720 smoothies in total from Jul.-Dec.
Step-by-step explanation:
YWW :)
Javier built a skateboard ramp by elevating one end of an 8-foot piece of plywood so that it makes a 20 degree angle with the ground.
Answer:
2.74feet
Step-by-step explanation:
Since we are not told what to find, we can find the height of the plywood
Given the following
length of ramp = 8feet
angle of elevation = 20degrees
Required
Height of the plywood
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 20 = H/8
H = 8sin20
H = 8(0.3420)
H = 2.74 feet
Hence the height of the plywood is 2.74feet
Find the MEDIAN of the data set. (Hint: the numbers must be in order first!) 40 76 40 63 47 57 49 55 50 53
Given:
The data set is:
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
To find:
The median of the given data set.
Solution:
We have,
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
Arrange the data values in ascending order.
40, 40, 47, 49, 50, 53, 55, 57, 63, 76
Here, the number of observations is 10 which is an even number. So, the median is:
[tex]Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}[/tex]
Putting n=10, we get
[tex]Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}[/tex]
[tex]Median=\dfrac{5\text{th term}+6\text{th term}}{2}[/tex]
From the arranged terms, it is clear that the the 5th term is 50 and the 6th term is 53.
[tex]Median=\dfrac{50+53}{2}[/tex]
[tex]Median=\dfrac{103}{2}[/tex]
[tex]Median=51.5[/tex]
Therefore, the median of the given data set is 51.5.
Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left parenthesis, 4, comma, 7, right parenthesis.
Answer: [tex]y=8x-25[/tex]
Step-by-step explanation:
Given
Line passes through [tex](3,-1)\ \text{ and}\ (4,7)[/tex]
Equation of line when it passes through two points [tex](x_1,y_1),(x_2,y_2)[/tex]
[tex]\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}[/tex]
Insert the values
[tex]\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25[/tex]
Answer:
8x-25
Step-by-step explanation:
:O thats ez
i need actually help on this asap!
Answer:
Step-by-step explanation:
x = -1: 2(3)^(-1) = 2(1/3) = 2/3
x = 0: 2(3)^0 = 2(1) = 2
x = 1: 2(3)^1 = 6
x = 2 2(3)^2 = 18
PLS HELP ASAP...A triangle has side lengths of (10m-5) centimeters, (6m-2) centimeters, and (8n+4) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
1. 12n+16m−7
2. 16m+8n−3
3. 12n+5m+4
4. 12n+9m
Answer:
perimeter = 10m - 5 + 6m - 2 + 8n + 4
= 16m -7 + 8n + 4
16m + 8n -3
option 2
The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The sum of all the sides of the triangle will be known as the perimeter of the triangle.
A triangle has side lengths of (10m - 5) centimeters, (6m - 2) centimeters, and (8n + 4) centimeters.
The expression represents the perimeter of the triangle will be
P = (10m - 5) + (8n + 4) + (6m - 2)
P = 16m + 8n - 3
The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
A factory has a container filled with 35,874 litres of cold drink. In how many bottles of 21 L capacity each can it be filled ? How much drink will be left behind?
Answer:
Number of bottles= 1,708
Step-by-step explanation:
Giving the following information:
Total liters= 35,874 litres
Bottle capacity= 21 liters
To calculate the number of bottles that can be filled given the actual capacity, we need to use the following formula:
Number of bottles= total liters / cottle capacity
Number of bottles= 35,874 / 21
Number of bottles= 1,708
Can someone give me the anwers I don’t understand it
Use the graph to write a linear function that relates Y toX
Evaluate the expression 9 + 8 − 2 x 4.
B 11
C 13
D 16
A 9
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{9 + 8 - 2 }\times\large\text{ 4}\\\large\text{9 + 8 = \bf 17}\\\large\text{17 - 2 }\times\large\text{ 4}\\\large\text{2 }\times\large\text{ 4 = \bf 8}\\\large\text{17 - 8 }\\\large\text{\bf = 9}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf D. 9}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
3. Mrs Naidoo wants to buy a new kitchen cabinet on which she can place her new
microwave. Mrs Naidoo notices one advertised for R3 999,00. She decides to
save until she has enough cash to pay for the kitchen cabinet. She uses her
December bonus of R2 900,00 to deposit into her savings account where she
is offered 3,5% p.a. compound interest.
Determine if Mrs Naidoo will be able to afford the kitchen cabinet a year later if she
adds R960,00 to the saved amount.
please help
Answer:
thats about like ummm 69?
Step-by-step explanation:
Christopher the barber did 8 haircuts. One of the 8 was a walk-in. Express the amount
of walk-ins as a percent.
The speed with which utility companies can resolve problems is very important. GTC, the Georgetown TelephoneCompany, reports they can resolve customer problems the same day they are reported in 70 percent of the cases.Suppose the 15 cases reported today are representative of all complaints. a) What is the probability 10 of the problems can be resolved today? b) What is the probability 9 or 12 of the problems can be resolved today? c) What is the probability more than 10 of the problems can be resolved today?
Answer:
a) [tex]P(10)=0.2061[/tex]
b) [tex]P(9\ or\ 12)=0.3172[/tex]
c) [tex]P(X>10)=0.51545[/tex]
Step-by-step explanation:
From the question we are told that:
Probability of Same day resolution [tex]P=70\%=>0.7[/tex]
Probability of Another day resolution [tex]Q=1-P=>30%=>0.3[/tex]
Sample size [tex]n=15[/tex]
a)
Generally the equation for Probability 10 of the problems can be resolved today is mathematically given by
Since
[tex]P(X)=^{n}C_{x}*p^{x}*Q^{n-x}[/tex]
[tex]P(10)=^{15}C_{10}*p^{10}*Q^{15-10}[/tex]
[tex]P(10)=\frac{15!}{10!(15-10)!*0.70^{10}*0.30^5}[/tex]
[tex]P(10)=0.2061[/tex]
b)
Generally the equation for Probability 9 or 12 of the problems can be resolved today is mathematically given by
[tex]P(9)=\frac{15!}{9!(15-9)!*0.70^{9}*0.30^6}[/tex]
[tex]P(9)=5005*2.942*10^{-5}[/tex]
[tex]P(9)=0.1472[/tex]
OR
[tex]P(12)=\frac{15!}{12!(15-12)!*0.70^{12}*0.30^3}[/tex]
[tex]P(12)=455*3.737*10^{-4}[/tex]
[tex]P(12)=0.17[/tex]
Therefore Probability 9 or 12 of the problems can be resolved today is
[tex]P(9\ or\ 12)=P(9)+P(12)[/tex]
[tex]P(9\ or\ 12)=0.1472+0.17[/tex]
[tex]P(9\ or\ 12)=0.3172[/tex]
c)Generally the equation for probability more than 10 of the problems can be resolved today is mathematically given by
[tex]P(X>10)=P(11)+P(12)+P(13)+P(15)[/tex]
Where
[tex]P(11)=\frac{15!}{11!(15-11)!*0.70^{11}*0.30^4}[/tex]
[tex]P(11)=0.2186[/tex]
[tex]P(13)=\frac{15!}{13!(15-13)!*0.70^{13}*0.30^2}[/tex]
[tex]P(13)=0.0916[/tex]
[tex]P(14)=\frac{15!}{14!(15-14)!*0.70^{14}*0.30^1}[/tex]
[tex]P(14)=0.0305[/tex]
[tex]P(15)=\frac{15!}{15!(15-15)!*0.70^{15}*0.30^0}[/tex]
[tex]P(15)=0.00475[/tex]
Therefore
[tex]P(X>10)=0.2186+0.0916+0.0305+0.00475+0.17[/tex]
[tex]P(X>10)=0.51545[/tex]
For any number, y
Add one third of the number
Then subtract _____________ of the result.
The answer is y
Answer:
y/3
Step-by-step explanation:
According to the conditions :
y + y/3 - x = y
y + y/3 - y = x
(3y + y - 3y )/3 = x
y/3 = x
Answer:
[tex]\frac{3}{12}[/tex]
Step-by-step explanation:
Create an equation and solve for x:
[tex]y + \frac{1}{3} y = \frac{4}{3} y\\\frac{4}{3}y - x(\frac{4}{3}y) = y\\x = \frac{3}{12}[/tex]
An adult ticket costs £4.
A child ticket costs £3.
Hina spends £47 on cinema tickets.
She buys 8 adults tickets.
Work out how many child tickets she buys.
What are the dimensions of the rectangle shown on the coordinate plane? On a coordinate plane, a rectangle has points (1, negative 1), (10, negative 1), (10, negative 5), (1, negative 5). The base is 3 units and the height is 9 units. The base is 9 units and the height is 4 units. The base is 10 units and the height is 4 units. The base is 11 units and the height is 6 units. HURRRY 20 POINTS AND MORE IF RIGHT
Answer:
The base is 9 units and the height is 4 units.
Step-by-step explanation:
Of the 10 kids in a chess club, 5 are left-handed and 5 are right-handed. The club holds a round-robin tournament in which every player plays against every other player exactly once. Of all the matches, how many of them have a left-handed player competing against a right-handed player?
The total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 fraction of all games at the tournament Anita plays the game.
We have given that,
Of the 10 kids in a chess club, 5 are left-handed and 5 are right-handed.
What are permutation and combination?A permutation can be defined as the number of ways a set can be arranged, order matters but in combination, the order does not matter.
We have 5 girls and 5 boys in a chess club:
There are a total of 5×5 games girls play against a boy.
= 5×5
= 25
The number of games a girl play against another.
It is a combination problem so the total number of games:
= 10
A fraction of the games are boy-versus-boy:
The number games boy-versus-boy = 10
The number games Boy vs Boy & Girl vs Girl & Boy vs Girl
= 10+10+25
= 45
So the fraction = 10/45 ⇒ 2/9
If Anita is one of the club members then Anita will have to play against 9 people at the tournament.
Total number of games = 45
Then the fraction = 9/45 ⇒ 1/5
Thus, the total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 fraction of all games at the tournament Anita play the game.
To learn more about combination visit:
brainly.com/question/4546043
#SPJ2
Solve for X in 3x/10 + x/5 = 15 SHOW WORK
Answer:
x = 30
Step-by-step explanation:
correct me if i am wrong but i think you have to
a.) change the denominator's to be the same :
ten is a common denominator therefore you times the second expression by two ( x/5 becomes 2x/10 )
b.) put the formula back together :
3x/10 + 2x/10 = 15
5x/10 = 15
5x = 150
x = 30
First correct response gets brainliest
Answer:
x = 13
Step-by-step explanation:
This question is based on Secant Secant theorem.
Secant Secant theorem gives us the following formula:
(AB + BD)AB = (AC + CE).AC
From the above question we have the following parameters
AB = 5
BD = x
AC = 7.5
CE = 4.5
Hence,
(AB + BD)AB = (AC + CE).AC
(5 + x)5 = (7.5 + 4.5)7.5
25 + 5x = 90
Collect like terms
5x = 90 - 25
5x = 65
x = 65/5
x = 13
a company packages stickers in sets of 40. if each set costs $80.85, what is the cost of 240 stickers?
Answer:
485.10
Step-by-step explanation:
LOOK AT THE PICTURE PLZ NEED HELP!
Answer:
J
Step-by-step explanation:
Sorry I'm very busy so no step by step
Jose has a bag of 6 blue marbles, 3 white marbles, and 8 black marbles. What is the probability that he pulls a blue marble out of the bag?
Match the cube roots and square roots with their values.
V4
327
64
364
49
31,000
2
10
3
4
8
7
100 students are interviewed to see which of biology, chemistry or physics they prefer.
72 of the students are girls. 34 of the girls like biology best.
11 of the boys prefer physics.
24 out of the 27 who prefer chemistry are girls.
What percentage of the students prefer biology?
Answer:
62%
Step-by-step explanation:
34 girls like biology
? boys like biology
It is 34%≤
27% Prefer chemistry
11% prefer physics
27 + 11 = 38
100 - 38 = 62
let me know if i'm wrong
Which choice is equivalent to the quotient shown here when x2 0?
Answer:
Option A.
Step-by-step explanation:
√18x÷√32
√18x/√32
√18x/32
√9x/16
9 and 16 are perfect squares
=3√x/4.
Option A
Select ALL the expressions that are equivalent to -4(8x-3)
A) -20X
B) 4(3-8x)
C) -32x-12
D) 2(-16x+6)
E) 5-9(8x-3)
Answer:
dddddStep-by-step explanation:
If a boat travled 70miles in 5 hours how far did the boat travel in one hour
Answer:
350millas
Step-by-step explanation:
help plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
I think I just posted that last time. Check my timeline
1/3 x 1/4 = ?????????
Answer:
1/12
Step-by-step explanation:
1/4 X 1/3 = 1/12
Answer:
1/12
Step-by-step explanation:
When multiplying fractions, you multiply it like normal numbers, so 1 is multiplied by 1, and 3 is multiplied by 4.
For example:
3/4 x 9/10 would be equal to 27/40 because the 3 is multiplied by 9 and 4 is multiplied by 10.
3 x 9 = 27
4 x 10 40
27/40
Therefore on your question it would be 1/12.