Answer: 26.11
Step-by-step explanation:
73.18 - 5.23 × 90 = 73.18 - 47.07 = 26.11
Mathematically verify the outlier(s) in the data set using the 1.5 rule.
7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19
1. 7 & 19 are outliers.
2. 7 & 8 are outliers.
3. 7, 8, & 19 are outliers.
4. There are no outliers.
Given:
The data values are:
7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19
To find:
The outliers of the given data set.
Solution:
We have,
7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19
Divide the data set in two equal parts.
(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)
Divide each parenthesis in two equal parts.
(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)
Now,
[tex]Q_1=\dfrac{11+13}{2}[/tex]
[tex]Q_1=\dfrac{24}{2}[/tex]
[tex]Q_1=12[/tex]
And
[tex]Q_3=\dfrac{16+16}{2}[/tex]
[tex]Q_3=\dfrac{32}{2}[/tex]
[tex]Q_3=16[/tex]
The interquartile range is:
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=16-12[/tex]
[tex]IQR=4[/tex]
The data values lies outside the interval [tex][Q_1-1.5IQR,Q_3+1.5IQR][/tex] are known as outliers.
[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)][/tex]
[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6][/tex]
[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[6,22][/tex]
All the data values lie in the interval [6,22]. So, there are no outliers.
Hence, the correct option is 4.
3 - 11 x = - 118
what is the answer?
Answer:
x = 11
Step-by-step explanation:
I assume you want x, so I simply rearranged the terms, subtracted, and simplified.
pls help im begging u..
3/x + 4/5 = 11/10
For what value of x is the equation above true?
A) 3
B) 5
C) 7
D) 10
Answer:
The answer is
[tex] \frac{3}{x} = \frac{11}{10} - \frac{4}{5} \\ \frac{3}{x} = \frac{55 - 40}{50} \\ \frac{3}{x} = \frac{15}{50} \\ \frac{3}{x} = \frac{3}{10} \\ x = 10[/tex]
If you answer this correctly you get a cookie
Answer:
3/9
Step-by-step explanation:
P(G,G) = 1/3 × 1/3 = 1/9
P(B,B) = 1/9
P(Y,Y) = 1/9
P(same colour) 1/9 + 1/9 + 1/9 = 3/9
The formula for the volume of a cylinder is V = srh.
Solve v = rn for h, the height of the cylinder.
Answer:
A
Step-by-step explanation:
Have a great summer :)
For a project in his Geometry class, Tyler uses a mirror on the ground to measure the height of his school building. He walks a distance of 14.65 meters from his school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 0.8 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.15 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.
Answer:
The height of the school building is approximately 21.06 meters
Step-by-step explanation:
The method of Geometry Tyler is using to determine the height of his school building is through the property that similar triangles have a common ratio of corresponding their sides
The given parameters for the triangle formed by Tyler and the mirror are;
The distance from Tyler's eyes to the ground = 1.15 meters
The horizontal distance between Tyler and the mirror at X = 0.8 m
The parameters of the triangle formed by the height, h, of the school building and the mirror at X are;
The horizontal distance between the school building and the mirror = 14.65 m
The height of the school building = h
Therefore, we have;
[tex]\dfrac{The \ distance \ from \ Tyler's \ eyes \ to \ the \ ground}{The \ height \ of the \ school \ building} =\dfrac{Tyler's \ horizontal \ distance \ from \ mirror }{The \ building \ to \ mirror \ horizontal \ distance }[/tex]Therefore;
[tex]\dfrac{1.15 \, m}{h} = \dfrac{0.8 \ m}{14.65 \ m}[/tex]
[tex]h = \dfrac{1.15 \, m \times 14.65 \, m }{0.8 \, m} = 21.059375 \ m[/tex]
The height of the school building h to the nearest hundredth meter ≈ 21.06 m.
Describe fully the single transformation that maps triangle A onto triangle B
Answer:there’s needs to be an image
Step-by-step explanation:
A²,b²,c² are consecutive perfect squares.How many natura numbers are lying between a² and c², if a>0
Answer:
The quantity of natural numbers between [tex]a^{2}[/tex] and [tex]c^{2}[/tex] is [tex]2\cdot (a + b) + 1[/tex].
Step-by-step explanation:
If [tex]a^{2}[/tex], [tex]b^{2}[/tex] and [tex]c^{2}[/tex] are consecutive perfect squares, then both [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] are natural numbers and we have the following quantities of natural numbers:
Between [tex]b^{2}[/tex] and [tex]c^{2}[/tex]:
[tex]c^{2} = (b+1)^{2}[/tex]
[tex]c^{2} = b^{2}+2\cdot b + 1[/tex]
[tex]c^{2}-b^{2} = 2\cdot b + 1[/tex]
And the quantity of natural numbers between [tex]b^{2}[/tex] and [tex]c^{2}[/tex] is:
[tex]c^{2}-b^{2}-1 = 2\cdot b[/tex]
Between [tex]a^{2}[/tex] and [tex]b^{2}[/tex]:
[tex]b^{2} = (a + 1)^{2}[/tex]
[tex]b^{2} = a^{2} +2\cdot a + 1[/tex]
[tex]b^{2}-a^{2} = 2\cdot a + 1[/tex]
And the quantity of natural numbers between [tex]a^{2}[/tex] and [tex]b^{2}[/tex] is:
[tex]b^{2}-a^{2}-1 = 2\cdot a[/tex]
And the quantity of natural numbers between [tex]a^{2}[/tex] and [tex]c^{2}[/tex] is:
[tex]Diff = 2\cdot a + 2\cdot b + 1[/tex]
Please observe that the component +1 represents the natural number [tex]b^{2}[/tex]
PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:
A) (.....+2a)^2=.....+12ab+4*....
B) (3x+.....)^2=....*x^2+.....+49y^2
Answer:
wow man that is crazy
Step-by-step explanation:
Question 23 (5 points)
If a leg of a right triangle is 7 units and the hypotenuse is 25 units, what's the length
of the other leg?
1024 units
25.96 units
24 units
324 units
the answer is 1024 because 7²+25²=b²
factor out the square which gives you
(7+25)²=b²
32²=b²
squaring 32 gives 1024
Answer:
24 units
Step-by-step explanation:
i just took the quiz
Look at the graph below. What type of function is represented by this graph?
Someone come through with the answers pls
Express as a trinomial.
(2x-6)(2x-8)
Answer:
192
Step-by-step explanation:
calculator
Which expression can be used to find the difference of the polynomials?
(10m – 6) – (7m – 4)
Answer:
3m -2
Step-by-step explanation:
(10m – 6) – (7m – 4)
Distribute the minus sign
(10m – 6) – 7m + 4
Combine like terms
3m -2
Which length is equivalent to 12 yards?
4 feet
9 feet
15 feet
36 feet
Answer:
4 feet
Step-by-step explanation:
1 yard is 3 feet
then 12 yards is 4 feet
Answer:
It is 36.
Step-by-step explanation:
It's simple math
What is the reading on the meter
Answer:
the answer is 6803
Step-by-step explanation:
the first clock want to go next number and this number is 6 according to clockwise and second go 8 third go 0 and fourth go 3
Answer:
6803
Step-by-step explanation:
Is (2, 2) a solution of y <_ 4x – 6?
Choose 1 answer:
Yes or No
Answer:
Yes
Step-by-step explanation:
1. Looking at the questionThe question states that...
[tex]x=2\\y=2[/tex]
2. Plugging it in[tex]2\leq 4(2)-6\\2\leq 8-6\\2\leq 2[/tex]
Yes
Hope this helped! Please mark brianliest :)
Answer:yes
Step-by-step explanation:
Y<_4x-6
2<_4(2)-6
2<_8-6
2<_2
Based on the table below, what is the relationship between cups and tablespoons?
Answer:
the answer is A
Step-by-step explanation:
Select the correct answer. Which image shows the correct position of M(-4, 3)? A. graph A B. graph B C. graph C D. graph D
Answer:
a
Step-by-step explanation:
think about it, its' obvious
1) Enlun mixes 8 cups of pineapple juice and 14 cups of cranberry juice to make a fruit punch. Assuming he always mixes in the same ratio, write an equation that describes the proportional relationship between cups of pineapple juice (p) and cups of cranberry juice (c).
a) How many cups of pineapple juice are needed for 63 cups of cranberry juice?
Answer:
p = 4/7c
p = 36 cups when c = 63 cups
Step-by-step explanation:
Cups of pineapple juice, p = 8
Cups of cranberry juice, c = 14
equation that describes the proportional relationship between cups of pineapple juice (p) and cups of cranberry juice (c)
p = k * c
Where,
k = constant of proportionality
p = k * c
8 = k * 14
8 = 14k
k = 8/14
k = 4/7
Therefore,
p = 4/7c
How many cups of pineapple juice are needed for 63 cups of cranberry juice?
p = 4/7c
p = 4/7 * 63
= (4 * 63) / 7
= 252/7
= 36
p = 36
p = 36 cups when c = 63 cups
Which of the following is equivalent to the expression below?
2(-3x+1) – 4x
- -2x+2
- -10x+1
- 2x+1
- -10x+2
Answer:
[tex]\underline{\underline{ -10x +2}}[/tex]
Step-by-step explanation:
A expression is given to us and we need to simplify out the expression . The given expression is ,
[tex]\implies 2(-3x +1)-4x [/tex]
Open the brackets .
[tex]\implies -6x +2-4x [/tex]
Simplify the like terms .
[tex]\underline{\underline{ -10x +2}}[/tex]
Hence the correct option is (4) .
Someone please help me with this math problem? !!
Answer:
x = -1
Step-by-step explanation:
If you input -1 to both functions, you get 3.
Type the correct answer in the box. Simplify this expression: -2x + 3 – (5 – 6x).
Answer:
4x - 2
Step-by-step explanation:
Given
- 2x + 3 - (5 - 6x) ← distribute parenthesis by - 1
= - 2x + 3 - 5 + 6x ← collect like terms
= 4x - 2
The expression -2x + 3 – (5 – 6x) simplifies to 4x - 2.
What is the correct way of simplifying an expression ?The correct way of simplifying expressions is first solving what are inside the brackets.Then solving divisions then multiplications then additions and last subtractions.This way of solving order has a short name which is BODMAS order.
According to the given question we have to simplify the expression
-2x + 3 – (5 – 6x).
First we'll solve what are inside the brackets.
-2x + 3 - 5 + 6x. (negative sign distributed to get a positive).
= 4x - 2.
= 2(2x - 1).
learn more about simplifying expressions here :
https://brainly.com/question/16738857
#SPJ2
HELP ME ASAP I need help with this problem
B.
the solution is in the picture
What did I do wrong in notes, and why is the answer what it shows on screenshot
Answer:
Hope you find it helpful and usef
if 2/a=1/b-1/d find an expression for d in terms of a and b
Answer:
Step-by-step explanation:
2/a = 1/b - 1/d
2d/a = d/b - 1
2d/a - d/b = -1
d(2/a - 1/b) = -1
d(2b-a)/(ab) = -1
d(a-2b)/(ab) = 1
d = ab/(a-2b)
BRAINLEST IF CORRECT
Answer:
first option
Step-by-step explanation:
the graph has a point of (8,2)
so see which option proves this point
2=0.25(8)
2=2
so first option is correct
Factor 6x ^ 2 - 3x - 45; 3(2x - 5) * (x + 3); 3(2x - 3) * (x - 5); 3(2x + 5) * (x - 3); 3(2x + 3) * (x - 5)
Answer:
[tex]3(2x+5)(x-3)[/tex]
Step-by-step explanation:
The given equation is:
[tex]6x^{2}-3x-45[/tex]
It can be solved by using middle term splitting.
So,
[tex]6x^{2}-3x-45=6x^2+15x-18x-45\\\\=3(2x+5)(x-3)[/tex]
So, the factors of [tex]6x^{2}-3x-45[/tex] are [tex]3(2x+5)(x-3)[/tex]
Find the equation of the line.
Use exact numbers.
Answer:
Y = 2x + 5
Step-by-step explanation:
2x is your slope and 5 is your y intercept.
The formula for this is: y = mx + b
Latoya created a factor tree and wrote the prime factorization of 90 shown below.
A factor tree of 90. 90 branches to 9 and 10. 9 branches to 3 and 3. 10 branches to 2 and 5. The equation is 90 = 2 times 3 times 5.
What is Latoya’s error?
She should not have found the factors of 9.
She should have included an exponent of 2 on the 3.
She should have included 9 and 10 in the prime factorization.
She should have started the tree with 2 times 45.
Answer:
She should have included an exponent of 2 on the 3
Step-by-step explanation:
The factor tree can be presented as follows;
[tex]{}[/tex] 90
[tex]{}[/tex] ↓
[tex]{}[/tex] 9 ↔ 10
[tex]{}[/tex] ↓ ↓
[tex]{}[/tex] 3 ↔ 3 2 ↔ 5
Therefore, the prime factorization of 90 is equal to 90 = 3 × 3 × 2 × 5
She should have wrote, 90 = 3² × 2 × 5
Therefore, the error is that she should have included an exponent of 2 on the 3.
Answer:
B
✔ She should have included an exponent of 2 on the 3.
Step-by-step explanation:
E2021
