Answer:
Please find attached the required box and whiskers plot
Step-by-step explanation:
The numbers are given in arranged order as follows;
14, 14, 16, 16, 17, 17, 18, 20, 21, 23
The five number summary are;
The minimum value = 14
The maximum value = 23
The first quartile, Q₁, is the (n + 1)/4th term or the 2.75th term = 14 + 0.75×(16 - 14) = 15.5
The second quartile, Q₂, (the median) is the (n + 1)/2th term or the 5.5th term = 17
The third quartile, Q₃, is the 3(n + 1)/4th term or the 8.25th term = 20 + 0.25×(21 - 20) = 20.25.
A purchase costs $25.79 plus a tax of $1.29. Find the sales tax rate.
Answer:
The sales tax rate is 5%.
Step-by-step explanation:
To determine the sales tax rate if you already know the amount of tax being added to the purchase price, divide the amount of tax by the purchase price. In this example, divide $1.29 (amount of tax being added) by $25.79 (purchase price). When you do that, you will see that the answer is 0.0500, or 5%.
Represent 1/3 and 5/2 on the same number line. Please Draw it
Answer:
[tex]\Huge{\fbox{\red{Attachment}}}[/tex]
#Be Brainly
Simplify the following expression.
Answer:
B. 51
Step-by-step explanation:
first do inside the parenthesis
83 - 4 * (6-4)^3 = 83 - 4 * (2)^3
now multiply 4 and the third power of 2 (the third power of 2 is 2x2x2=8)
83 - 4 * (2)^3 = 83 - 32 subtract and the answer is 51
Answer:
[tex]83 - 4 \times {(6 - 4)}^{3} \\ = 83 - 4 \times {(2)}^{3} \\ = 83 - 4 \times 8 \\ = 83 - 32 \\ = 51 \\ thank \: you[/tex]
After 24 pencil had sharpened, the pencil sharpener receptacle is full. If receptacle is emptied in average of twice a day, how many times does someone in the class of 20 sharpens a pencil in five day ?
Answer:
12 Pencils Sharpened
Step-by-step explanation:
Since the sharpener receptacle is emptied out 2 times every day.
Do 24*2 to get 48 pencils sharpened each day.
Now do 48/20 to get how many pencils a single person sharpens each day. Resulting in 2.4 pencils each day for 1 person.
Multiple 2.4 by 5 (Amount of days) to get 12 pencils in 5 days.
What’s the value of X
Answer:
Step-by-step explanation:
Use the Law of Sines for this. Set it up as follows:
[tex]\frac{sin(x)}{6}=\frac{sin(61)}{6.2}[/tex] Cross multiply:
6.2sin(x) = 6sin(61) and solve for the term with the unknown in it:
[tex]sin(x)=\frac{6sin(61)}{6.2}[/tex]
Work on the right side first. Plug that into your calculator to get
sin(x) = .8464061682
Now the problem comes down to "what angle has a sine of .8464061682?" This requires the use of the inverse button on your calculator. Hit 2nd, then sin, and you will see on your screen:
[tex]sin^{-1}([/tex]
After that open parenthesis enter that big long decimal and hit equals. You should get an angle measure of 57.822 degrees. Not sure what you are rounding to.
Find the domain and range of this function.
Answer:
domain- (0, infinity) range- (1, infinity)
Step-by-step explanation:
Sagan scored 1200 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 980 and standard deviation 100. Andrea scored 27 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 20 and standard deviation 5. Who performed better on the standardized exams and why? Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was a 1200, which is greater than Andrea's score of 27. Andrea scored higher than Sagan. Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Sagan's standardized score of 2.2 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was 220 points above the mean of 980, and Andrea's was 7 points above the mean of 20. Andrea scored higher than Sagan. Andrea is only 9 points from the top score of 36 on the ACT, and Sagan is 400 points from the top score of 1600 on the SAT.
Answer:
A
Step-by-step explanation:
Option A is correct. Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations.
Answer: Correct
Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean.
Step-by-step explanation: No clue:)
The probability that a company will launch the product A and B are 0.45 and 0.60 respectively, in main while, probability that both products launched, is 0.35. What is the probability that Neither will of these products launch? (04) At least one product will be launched ?
Answer:
1) 0.3 ; 0.7
Step-by-step explanation:
Given the following :
Probability that product A launch : P(A) = 0.45
Probability that product B launch : P(B) = 0.60
Probability that both product launch : P(AnB) = 0.35
P(A alone) = p(A) - p(AnB)
P(A alone) = 0.45 - 0.35 = 0.1
P(B alone) = p(B) - p(AnB)
P(B alone) = 0.60 - 0.35 = 0.25
Probability that neither product will launch :
1 - [p(A alone) + p(B alone) + p(AnB)]
1 - [0.1 + 0.25 + 0.35]
1 - 0.7 = 0.3
Probability that at least one product will launch :
P(A alone) + p(B alone) + p(AnB)
0.1 + 0.25 + 0.35 = 0.7
Please answer ASAP please and thank you
Answer:
27/10
Step-by-step explanation:
You want to get a common denominator in order to add them together.
First:
Convert the whole numbers to fractions, 4 = 8/2
4 1/2 = 9/2
And 1 = 10/10
1 8/10 = 18/10
Then find the common denominator:
The least common multiple of 2 and 10 is 10. So:
convert 9/2 to a denominator of 10 : 9*5 / 2*5 = 45/10
Subtract:
45/10 - 18/10 = 27/10
Answer:
27/10
Step-by-step explanation:
1. Change the mixed fractions to improper fractions
9/2 -9/5
2. Find the LCD, 10
3. multiply to get the denominator to 10
45/10 - 18/10
4. Deal with the numerators 45-18=27
5. 27/10
Please could I have some help? Seven squared equals seven times .........
Answer:
[tex]\large \boxed{\mathrm{seven }}[/tex]
Step-by-step explanation:
[tex]7^2[/tex]
A number squared also means that the number is multiplied by itself twice.
[tex]7^2 =7 \times 7[/tex]
calculate using the distributive property
7×19
Answer:
133
Step-by-step explanation:
7 * 19
Rewrite 19 as 20 -1
7 * (20-1)
Distribute
7*20 - 7*1
140 - 7
133
If l || m, classify the marked angle pair and give their relationship, then solve for x.
Answer:
14. x=16, 15. x=9
Step-by-step explanation:
14.
4x+4=7x-44 by alternate exterior angles
3x=48
x=16
15.
15x-26=12x+1 by alternate exterior angles
3x=27
x=9
A study table of length 2 m and breath 1.25 m in decorted with square design of size 10x 10 find the number of such designs???
Answer:
250Step-by-step explanation:
Assuming that the shape of the table be rectangular in nature.
Area of the study table = Length * Breadth
Area of the study table = 2m * 1.25m
Area of the study table = 200cm * 125cm (since 100cm = 1m)
Area of the study table = 25000cm²
If the study table is decorated with square design of size 10cm x 10cm, the area of one square design is 100 cm².
The number of such square designs = Area of the study table/area of one square design
The number of such square designs = 25000cm²/100cm²
The number of such square designs = 250
Hence the number of such design is 250
A 2-gallon bottle of fabric softener costs $30.24. What is the price per pint?
Answer:
$1.89
Step-by-step explanation:
1 quart = 2 pints
1 gallon = 4 quarts
1 gallon = 8 pints
2 gallons = 16 pints
Divide the cost of the fabric softener by 16 to find the price per pint.
$30.24/16 = $1.89
The fabric softener costs $1.89 per pint.
Answer:
$1.89
Step-by-step explanation:
one gallon= 8 pints
two gallons= 16 pints
Therefore, we divide 16 from $30.24
30.24/16= $1.89
Hopefully this answer helps!
A company makes nylon and canvas backpacks. The profit on a nylon backpack is $3 and the profit on a canvas backpack is $10. How many backpacks must the company sell to make a profit of more than $250? Write a linear inequality that describes the situation.
Answer:
3x +10y is greater than or equal to 250.
Step-by-step explanation:
The question asks us to write an inequality which shows that both nylon and canvas added should be greater than or equal to 250.
Since we don't know the number of nylon backpacks and canvas backpacks the company makes, we used the variables "x" and "y" to represent the number of backpacks they made from each style.
Answer:
3n + 10c > 250
Step-by-step explanation:
I confirmed it in grandpoint
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP-BY-STEP EXPLANATION!!
Answer: c
Step-by-step explanation:
The correct answer is option C i.e. all of the options
Question : Why did I choose the answer as option C
Reason : To assure it we'll match all the options with the figure
First of all in the given figure all the sides and angles are equal hence, we can refer it as regular
Secondly, It is convex because all the parts are pointing outwards and inner ones are not more than 180°
Finally, As it has 8 sides it is an octagon
Now, we can see all the three options are matching leaving C which states all of these options, hence C is correct
Extras :1) What is Octagon ?
ans :- Octagon is an 8 sided polygon
2) What is a regular polygon ?
ans :- Any polygon which has equal angles and sides is known as a regular polygon.
3) What is convex ?
ans :- A convex is a shape where all the parts points outwards and interior angles are not more than 180°
Match the part of the circle to its correct name.
Answer:
a. major arc
b. minor arc
c. semi circle
d. central angle
Consider the graphed function. 100POINTS!!!!
What are the domain and the range of this function?
Answer:
Domain -5 ≤x<1
Range -4 ≤y<7
Step-by-step explanation:
The domain is the values that x takes
X goes from -5 included to 1 not included
-5 ≤x<1
The range is the values that y takes
y goes from -4 included to 7 not included
-4 ≤y<7
Answer:
Domain -5 ≤x<1
Range -4 ≤y<7
Please mark me as brainliest :)
Step-by-step explanation:
PLEASE ANSWER THIS! I WILL GIVE AMAZING RATING IF FAST
Answer:
[tex]\boxed{\sf a) \ 120 \ km^2}[/tex]
Step-by-step explanation:
The surface area is the total area of the faces added together.
Area of 2 triangles + Area of 3 rectangles
The two cross-sections are the triangles.
Area of triangle = base × height × 1/2
Area of a rectangle = length × width.
4 × 3 × 1/2 + 4 × 3 × 1/2 + 9 × 3 + 9 × 4 + 9 × 5
6 + 6 + 27 + 36 + 45
= 120
The sum of the numerator and denominator of a
fraction is 12. If the denominator is increased by 3,
the fraction becomes 1/2.
Find the fraction.
plz answer step by step
[tex]x+y=12\\\dfrac{x}{y+3}=\dfrac{1}{2}\\\\x=12-y\\2x=y+3\\\\2(12-y)=y+3\\24-2y=y+3\\3y=21\\y=7\\\\x=12-7=5\\\\\dfrac{x}{y}=\dfrac{5}{7}[/tex]
Please help asap! Will give brainly
=========================================================
Work Shown:
The notation f(4) means we want to find f(x) when x = 4.
If x = 4, then we go for the middle definition since 4 makes [tex]3 \le x \le 10[/tex] to be true (ie, 4 is between 3 and 10)
Therefore,
f(x) = x^2 - 7 when [tex]3 \le x \le 10[/tex]
f(4) = 4^2 - 7
f(4) = 16 - 7
f(4) = 9
Answer:
f(4) = 9
Step-by-step explanation:
4 is between 3 and 10 so we use the middle function
f(4) = x^2 -7
= 4^2 -7
= 16 -7
= 9
HELLP BRAINLIEST!!! Could someone clarify something for me?? What is the expression that represents the area of the rectangle? Do i solve this or do i just find the expression? Also could you help me solve the problem below?
Answer:
See below.
Step-by-step explanation:
The question doesn't ask you to find the area, it just ask for the expression that represents the area.
The area of rectangle is A=bh, where b and h are each of the side lengths.
Since we know the sides are (2x+7) and (5x+9), this means that the expression for the area of the rectangle is:
[tex](2x+7)(5x+9)[/tex]
To find the degree and classification, expand the factors:
[tex]=(2x+7)(5x+9)\\=(10x^2+18x+35x+63)\\=10x^2+53x+63[/tex]
Thus, this is a second degree quadratic expression
And from Part A, when we multiplied (2x+7)(5x+9), we got another polynomial (10x^2+52x+63). Thus, this rerepresents the closure property of polynomials, where multiplying a polynomial by another gets another polynomial.
.
Answer:
see below
Step-by-step explanation:
Part A
(2x+7) ( 5x+9)
Foil
first 2x*5x = 10x^2
outer: 2x*9 = 18x
inner: 7*5x= 35x
last: 7*9 = 63
Add together
10x^2 +18x+35x+63
10x^2+53x+63
Part B
This is a second degree polynomial called a quadratic
Part C
When we multiply two polynomials together, we get another polynomial. This is the closure property for multiplication of polynomials
In 5 hours a small plane can travel downwind for 4000 kilometers or upward 3000 kilometers. Find the speed of this plane with no wind and the speed of the wind current.
Write as an equation
Answer:
discuss this question is about packhouse a small plant can travel 400 kilometre aur 2000 kilometre find the speed with a plan with no wind and a speed on the answer you will be given to you divide 5 400 the four hundred and 51 you divide the answer to get dawat 310 you will find the extra answer
the length of a basketball pitch can be divided into 12 parts which 25 centimetres on how much parts it's 20 centimetres long can be obtained from the pitch
Answer:
the number of parts is going to be
= 15 parts
Step-by-step explanation:
A basketball pitch can be divided into twelve(12) parts , each part of equal length of twenty five (25) centimeters.
The initial and total length of the basketball pitch = 12*25
The initial and total length of the basketball pitch = 12*25
The initial and total length of the basketball pitch = 300 cm
So if it's now divided into parts of each 20 cm ,
the number of parts is going to be
= 300/20
the number of parts is going to be
= 15 parts
slopes of the line parallel and perpendicular to y=32x-1
Answer:
see below
Step-by-step explanation:
This is in slope intercept form
y = mx+ b where m is the slope and b is the y intercept
32 is the slope
Parallel lines have the same slope so 32 would be the slope of the parallel line
Perpendicular lines have slopes that multiply to -1
m*32 = -1
m = -1/32
The slope of the perpendicular line is -1/32
the smallest square number which can be divisible by 11 and 5
Answer:
3025
Step-by-step explanation:
let's look at it in this concept.
For a number to be divisible by 11 and 5. it must be a multiple of the LCM of 11 and 5.
LCM of 11 and 5=55
therefore the number is 55x, where x is a positive integer.
it is a said that the number is a perfect square
therefore the square root of 55x must be an integer.
[tex] \sqrt{55x} = \sqrt{5 \times 11 \times x} [/tex]
the smallest value of x to make 55x a perfect square is....
[tex]x = 11 \times 5 = 55[/tex]
Therefore the number is.... .
[tex]55x = 55(55) = 3025[/tex]
sweet right
BRAINLIEST PLS....4' 1" − 1' 10" = Subtract measurement with Same Difference Theorem
Answer:
2' 3"
Step-by-step explanation:
Here 4' 1" − 1' 10" is certainly possible, but to carry out this operation we must borrow 1', or 12", from 4' 1":
4' 1" becomes 3' 13", and so the original problem becomes
3' 13" - 1' 10"
which in turn becomes 2' 3"
Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 333 trips, and for each trip Lennox gets 300300300 dollars. On a single trip, a truck delivers 505050 packs, and each pack contains 121212 kilograms of apples. Overall, Lennox sells 450045004500 dollars worth of apples in a week. How much does Lennox get for a single kilogram of apples? Dollars per kilogram
Using proportions, it is found that Lennox gets 2.5 dollars per kilogram.
During each week:
The truck goes on 3 trips.In each trip, 50 packs are delivered.Each pack contains 12 kilograms of apples.Hence, the amount of kilograms delivered each week are:
[tex]A = 3(50)(12) = 1800[/tex]
He sells 4500 dollars each week(1800 kilograms), hence, the amount of dollars per kg is:
[tex]D = \frac{4500}{1800} = 2.5[/tex]
Lennox gets 2.5 dollars per kilogram.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Answer:0.50
Step-by-step explanation:
I NEED HELP PLEASE FIRST PERSON TO GET ANSWER RIGHT GETS 5 STARS !
Answer:9/5
Step-by-step explanation:
What is the answer ? Help pls
Answer:
B. 4Step-by-step explanation:
Given,
[tex] {x}^{8} = {( {2}^{2} )}^{4} [/tex]
Since,
[tex] { ({a}^{x} )}^{y} = {a}^{xy} [/tex]
Then,
[tex] = > {x}^{8} = {2}^{2 \times 4} [/tex]
[tex] = > {x}^{8} = {2}^{8} [/tex]
(Since the exponents are same so the bases will be also same)
Therefore,
=> x = 2
As per condition,
[tex] {x}^{2} [/tex]
(Putting value of x = 2)
[tex] ={2}^{2} [/tex]
= 4 (Ans)