Answer:
A.) - 0.2992
B.) Q1 = 36.75
Q2 = 38.45
Q3 = 41
C.) IQR = 4.25
D.) LOWER FENCE = 30.375
UPPER FENCE = 47.375
Yes, 49.3
Step-by-step explanation:
Given the data:
Arranged data in ascending order :
31.5, 34.2, 34.7, 35.6, 36.0, 36.2, 37.3, 37.6, 37.8, 38.1, 38.2, 38.4, 38.5, 38.7, 39.5, 39.6, 40.1, 40.6, 41.4, 41.7, 42.2, 42.5, 43.4, 49.3
Using calculator to save computation time :
Population mean (μ) = 38.88
Standard deviation (s) = 3.61
A.) The zscore for individual who obtained 37.8 miles per gallon :
Standardized score formula :
Z = (Score(x) - mean) / standard deviation
Z = (37.8 - 38.88) / 3.61
Z = - 1.08 / 3.61
Z = - 0.29916
Z = - 0.2992
B) The quartile ;
Lower quartile (Q1) :
1/4(n +1)th term
n = sample size = 24
1/4(24 + 1)
= 1/4(25) = 6.25th term
(6th + 7th) =(36.2 + 37.3) = 73.5/2 = 36.75
Upper quartile (Q3) :
3/4(24 +1) = 3/4(25) = 18.75th term
(18th + 19th) = (40.6 + 41.4) = 82/2 = 41
Median (Q2) :
1/2(24 +1) = 1/2(25) = 12.50th term
(12th + 13th) = (38.4 + 38.5) = 76.9/2 = 38.45
C.) interquartile range :
Q3 - Q1 = (41 - 36.75) = 4.25
D.) OUTLIER
LOWER : Q1 - 1.5(IQR) = 36.75 - 1.5(4.25) = 30.375 ; values less than 30.375
UPPER : Q3 + 1.5(IQR) = 41 + 1.5(4.25) = 47.375 ; values greater than. 47.375
(iv) -3/-11 + 5/9 step explanation
Answer:
82/99Step-by-step explanation:
-3/-11 + 5/9 =Two negatives cancel
3/11 + 5/9 =LCM of 9 and 11 is 99, bringing into common denominator of 99
3*9/11*9 + 5*11/9*11 =27/99 + 55/99 = 82/99write an equation for the graph using point-slope form
Answer: y-6=5/6(x-4)
Step-by-step explanation:
using the 2 points to find the slope (-2,1) and (4,6):
(6-1)(4--2)=5/6
y-6=5/6(x-4)
You are going on a hike with 3 other people. You decide to divide the bottles of water evenly among the group. Write an expression to find the number of bottles each person will carry. Find the total number of bottles each person will carry if there are 16 bottles.
Find the area of the Compound shape
The answer is 108 m^2 and 27 cm^2
I just need the steps....
Answer:
Step-by-step explanation:
6² + 12 × 6 = 36 + 72 = 108 m²
[tex]\frac{3*6}{2}[/tex] + 6 × 3 = 9 + 18 = 27 cm²
Answer:
108
Step-by-step explanation:
Model the problem with algebra tiles. Then use the model to write an algebraic expression that represents the situation. Bernadette bought six more fish for her tank. How can you model this situation? The situation can be modeled by algebra tiles with and . The situation can be represented as an algebraic expression as .
Answer:
1. one orange x tile
2. six orange + tiles
3. x + 6
Step-by-step explanation:
The situation can be represented as an algebraic expression as:
y = x + 6
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
Bernadette bought six more fish for her tank,
Suppose, Bernadette has x number of fish already
the expression for the total number of fees can be written as,
Total number of fees = Number of fees he has already + 6
= x + 6
⇒ y = x + 6
Hence, the given condition can be expressed as y = x + 6
To know more about Expressions check:
brainly.com/question/16804733
#SPJ6
An employee of an auction house has a list of 25 recently sold paintings. Eight artists were represented in these sales. The sale price of each painting is on the list. Would the correlation coefficient be an appropriate way to summarize the relationship between artist (x) and sale price (y)? Why or why not?
Answer:
Step-by-step explanation:
Given that:
A list of 25 recently sold paintings in an auction house is available, and eight artists were represented in the sales.
The objective is to determine if the correlation coefficient would be an appropriate way to summarize the relationship between the artist (x) and sale price (y).
From the information given;
NO, The correlation coefficient would not be an appropriate way to summarize the relationship between artist (x) and sale price (y).
The reason is being that since variable (x) is the artist and which is regarded as the categorical variable even though it is attributed to numerical values, it cannot and will not be used in quantitative studies like correlation.
Harry needs 21 square meters for every 6 wizard cloaks he makes
Answer:
Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes then Equal ratios = 21/6 = 7/2 = 14/4. Step-by-step explanation: Complete Question is : Complete the table using equivalent ratios.
Step-by-step explanation:
Someone please help...
Answer:
y=mc
Step-by-step explanation:
HELP!! Determine whether the pair of lines are parallel, perpendicular, or neither. 8x=3y+2 -16x+6y=2.
Answer:
24x - 9y=0
Step-by-step explanation:
8x=3y+2-16x+6y=2
8x=9y+2-16x=2
8x+16-9y=2-2
24x-9y=0
please help!!! Use the Pythagorean theorem to find the missing value
Answer: 1. is 50 2. is 111 3. is 26 4. is 45 and 5. is 51
Step-by-step explanation: The formula for Pythagorean theorem is A^2 plus B^2 = c^2
Sry that took so long did it wrong at first
The length of one side of a square pond is 15 feet. The pond is surrounded by a 3 foot wide walkway. What is the total area of the pond and the walkway, in square feet
Answer:
Area = 324 ft²
Step-by-step explanation:
Given
Length = 15ft
Walkway = 3ft
Required
Determine the area of the pond + the walkway
To calculate the required area, we need to get the total length of a side .
This is calculated by adding the length of a side of the pond and the side of the walkway
Total Length = Pond Length + Walkway
Total Length = 15ft + 3ft
Total Length = 18ft
Now, the required area can be calculated as thus:
Area = Total Length * Total Length
Area = 18ft * 18ft
Area = 324 ft²
please answer the question if you can (this is 8th Grade math)
Answer:
D
Step-by-step explanation: The two angles are not equal. The alternate interior angles theorem states that if the alternate interior angles are equal when a pair of lines is cut by a transversal, the two lines are parallel. However, the two angles are not parallel, so the lines are not parallel.
Answer:
are parallel
Step-by-step explanation:
because the lines doesn't meet so it's parallel
The points (3,-2) and (2,1) are both solutions to which inequality
On a photograph an ant is enlarged at a scale 25:1. In the photo, the ant's leg is 15 cm. What is the actual length of the ant's leg?
Answer:
3/5cm
Step-by-step explanation:
Let's solve your equation step-by-step.
x(25)=15
Step 1: Simplify both sides of the equation.
25x=15
Step 2: Divide both sides by 25.
25x /25 = 15/25
x = 3/5
Actual length of ant's leg is 0.6cm
Let the actual length of ant's leg = a
Scale = 25 : 1
Length in photo = 15 cm
Express as a an equation :
25 × actual length = 1 × length in photo
25a = 15
a = 15 / 25
a = 0.6
Hence, actual length of ant's leg is 0.6cm
LEARN MORE : https://brainly.com/question/18112348
George bought 2.5 pounds of each type of fruit shown on the sign what was the total cost of the fruit he bought
Answer:
it would be $2
Step-by-step explanation:
The total number of students enrolled at Twin Rivers Middle School is 2,000
students. If the ratio of boys to girls is also 3 to 2 for the school, how many students
are boys and how many students are girls at Twin Rivers Middle school?
Answer:
1200 boys and 800 girls
Step-by-step explanation:
since the ratio is 3:2 i just added the ratio to get 5 then divided that by how many total students there were giving me 400, then multiplied it by 3 for the boys and by 2 for the girls. giving me 1200 and 800
(sorry if this is confusing)
Add the ratios together: 3 + 2 = 5
Divide total students by 5:
2000 / 5 = 400
Multiply each ratio by 400:
Boys = 400 x 3 = 1200
Girls = 400 x 2 = 800
Write an equation for the proportional relationship.
(0,0) (2,8) (4,16) (5,20)
Answer:
y = 4x + 0
or
y = 4x
Step-by-step explanation:
y- intercept: 0
slope: 4x
equation: y = mx + b
y = 4x + 0 or y = 4x
Find the measure of ULE in the triangle below.
Answer:
U = 71 L=60
Step-by-step explanation:
You subtract 180 from 109 to get the measure of U and then you add measure U and E to get 120. Then, you subtract 180 from 120 to get measure L.
SURVEYS Alana surveyed several students to find the number of hours of sleep they typically get each night. The results are shown in the table. Make a bar graph of the data.
Answer:
You have to make a bar graph that shows the hours of sleep each student gets. Sharla gets the most sleep and Kate gets the least.
Step-by-step explanation:
Explanantion is in answer.
I know it's sloppy but here's mine!
Which equation has a solution of 54.73 for n?
n +8 = 62.73
n - 8 = 62.73
62.73 + 8 = n
8-46.73 = n
Answer:
n + 8 = 62.73
the first one
Step-by-step explanation:
Solve five and three sixths minus two and one third.
( Im Giving brainliest and extra points on this one :D)
A) Two and three eighteenths
B) Two and two ninths
C) Three and two ninths
D) Three and three eighteenths
Answer:
Option 4: [tex]3\frac{3}{18}[/tex] is the correct answer.
Step-by-step explanation:
The given fractions are mixed fractions. the mixed fractions have to be converted into proper fractions before performing any operation like addition, subtraction etc.
Given fractions are:
[tex]5\frac{3}{6}-2\frac{1}{3}[/tex]
Converting into proper fractions
[tex]=\frac{33}{6} - \frac{7}{3}[/tex]
Making the denominator same
We have to multiply first fraction by 3 and second by 6
[tex]=\frac{33*3}{6*3} - \frac{7*6}{3*6}\\=\frac{99}{18}-\frac{42}{18}\\=\frac{99-42}{18}\\= \frac{57}{18}[/tex]
Converting into mixed fraction: [tex]=3\frac{3}{18}[/tex]
Hence,
Option 4: [tex]3\frac{3}{18}[/tex] is the correct answer.
Answer:
3and3/18
Step-by-step explanation:
the mass of a rock same is 25 g and its density is d5d/cm cubed. What is the volume of the rock?
Answer:
וודי מסיפור הצעצועים יזיין אותך בלילה
Step-by-step explanation:
Complete the following statements to prove that ∠IKL and ∠JLD are supplementary angles.
Answer:
Is there a picture?
Step-by-step explanation:
What percentage of the guesst at this hotel called for room service yesterday?
Answer:
Step-by-step explanation:
Ms. Chibbaro packs 6 almonds for every 3 craisins (cranberry raisins) in her snack pack. She has 12 more almonds than craisins.
An art teacher buys 4 packs of oil paints. Each pack contains 18 tubes of paint. Which equations represent the total
number of tubes of paint the teacher bought? Check all that apply.
4x 18 = 72
18 + 18 + 18 + 18 = 72
22-4 = 18
18 + 4 = 22
72 - 18 = 4
I’m
Answer: it’s answer 18+18+18+18
Step-by-step explanation:it’s basically18 times 4
Answer:
4 × 18 = 72
18 + 18 + 18 + 18 = 72
72 ÷ 18 = 4
Step-by-step explanation:
Consider the following equations: y = x minus 2. y = 2 x minus 2. y = negative x minus 2. y = negative 2. Discuss the similarities and difference in the graphs of these equations. (Use a graphing calculator if needed.) a. Same slopes; different y-intercepts b. Same slopes; same y-intercepts c. Different slopes; same y-intercepts d. Different slopes; different y-intercepts
the answer would be C.
Explanation:I got it correct
Answer: c Different slopes; different y-intercepts
Step-by-step explanation:
Minus one thousand ,eight hundred and five point nine six as a number
Answer:
-1805.96
Step-by-step explanation:
I think that is the answer
Answer:
-9805.96 this is the answer
Compare. Select <,>, or=.
8.465? V 8.445
Answer:
8.465>8.445
Step-by-step explanation:
8.465>8.445
So 8.465 is greater than 8.445
find the sum for(2x−6)+4(x−3)
Answer:
6x - 18
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
(2x - 6) + 4(x - 3)
Step 2: Simplify
Distribute 4: 2x - 6 + 4x - 12Combine like terms (x): 6x - 6 - 12Combine like terms (Z): 6x - 18