Answer:
1st quartile of the data set = 7
Step-by-step explanation:
Given data set,
1, 5, 7, 9, 11, 16, 18, 20, 30, 35
Median of the given data set is called as "second quartile"
Median of the given set = Average of the terms at the center (Since, the number of data set is even)
= [tex]\frac{1}{2}(11+16)[/tex]
= 13.5
Number of terms on the left of 13.5 = 5
Term at the center (median) of (1, 5, 7, 9, 11) = 7
Therefore, 1st quartile of the data set = 7
Thomas paid $4.25 for three apples and four oranges. Five apples and two oranges cost Casey $4.75. Let x represent the number of apples and y represent the number of oranges. Which system of equations represents this situation? A $~3x+4y=4.75~$ $~5x+2y=4.25~$ B 3x+4y=4.25 5x+2y=4.75 C 4x+3y=4.75 2x+5y=4.25 D 4x+3y=4.25 2x+5y=4.75
Answer:
B
Step-by-step explanation:
For the given situation, system of equations is represented by
3x + 4y = 4.25
5x + 2y = 4.75
What is system of equations?"A system of equations is a finite set of equations for which we find the common solution."
According to question,
x represents number of apples
y represents number of oranges.
Two situations are given for which we need to find out which system of equations it represents.
Situation 1 : Thomas paid $4.25 for the three apples and four oranges , which can be represented by equation:
3x + 4y = 4.25
Situation 2: Casey paid $4.75 for five apples and two oranges, which can be represented by equation:
5x + 2y = 4.75
Hence we can conclude that Option B is correct.
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What is the fraction for 4.675?
Answer:
187/40
Step-by-step explanation:
have a nice day!
The fraction for 4.675 is 187/40 or 4 27/40
Please help ty!
You need to hire a company to clean your house. Klean company has a fixed cost of $20 and charges $25/hour.
Dustbuster cleaning services, charges $35 per
hour.
a) Write the equations for both companies to calculate the cost of cleaning your house. Include "let" statements.
Answer:
Klean company = 20 + 25h
Dustbuster cleaning services = 35h
Step-by-step explanation:
Let
Number of hours = h
Equation to calculate the cost of cleaning your house
Klean company = 20 + 25h
Dustbuster cleaning services = 35h
Find the number of hours when the cost of cleaning house by both companies will be equal
Klean company = Dustbuster cleaning services
20 + 25h = 35h
20 = 35h - 25h
20 = 10h
h = 20/10
h = 2 hours
Number of hours = h = 2 hours
Can someone help me out my grades are bad
Answer:
3/2 or 1.5
Step-by-step explanation:
trust me
Of the students at Fillmore Middle
School, 0.5625 are bused to school.
Which percent is equivalent to 0.5625?
Answer:
56.25%
Step-by-step explanation:
Is this right? Please help me
Yes you are correct. The line of best fit, aka the regression line, represents the line that is closest to all of the points on the scatterplot. Ideally you want the line to go through all of the points; however, it's not possible in this case. The next best thing is to get as close as possible. You can think of it like a supermarket that is right in the middle of a city so that it's closest to all its residents.
Water in lakes, oceans, and pools doesn't heat up very easily because it reflects the heat being radiated from the sun.
True or False
No links
PLEASE HELP!!! I CANT DO THIS
Answer:
∠WVU = 67°
Step-by-step explanation:
∠WVU = 1/2(arc WV)
8x + 11 = 1/2(15 + 17x)
8x + 11 = 7.5 + 8.5x
subtract 7.5 and 8x from each side of the equation:
0.5x = 3.5
multiply both sides by 2:
x = 7
∠WVU = 8(7) + 11 = 67°
proof:
arc WV = 15 + 17(7) = 134° which is 2 x 67°
An angle measures 36º. What is the measure of its supplement?
Answer:
144° is the correct answer
sumpplement (angles that adds up to 180°)
: 180°-36°=144°
Find the sum of the 1st 100 terms: 100+98+96+....
Answer:
First we Check if its an AP or GP
Its an AP because the Second term Minus the First term is = to 3rd term Minus Second term
Since it said "Sum"
The formula we should think Of is
Sn = n/2[2a + (n-1)d]
n=100
a(First term) =100
Common difference 'd' = Second term - First term or Third term - Second term
So
d= 98-100 or 96-98
d=-2.
Applying the Formula...
Sn = 100/2 [2(100) + (100-1)(2)]
Sn = 50[200 + (99)(2)]
Sn= 50[200 + 198]
Sn = 50[398]
Sn = 19,900.
Which of the following is a prime number?
OA) 19
OB) 26
OC) 48
OD) 52
Answer:
A) 19
Step-by-step explanation:
prime number: Any whole number which is greater than 1 and has only two factors that is 1 and the number itself
A) 19 => 1 × 19 correct
B) 26 => 1 × 26, 2 × 13 incorrect
C) 48 => 1 × 48, 2 × 24, 3 × 16, 4 × 12, 6 × 8 incorrect
D) 52 => 1 × 52, 2 × 26, 4 × 13 incorrect
at a restaurant 40% of customers typically order a salad with their meal what is the experimental probability that the next four customers will order a salad? what do used to simulate this in order to figure out the EP
Answer: 0.0256 which converts to 2.56%
Explanation:
Assuming each event is independent of one another, the probability of having four people in a row order a salad is 0.40^4 = 0.0256 = 2.56%
If for instance you only wanted to know the probability that the next three people would order salad, then you would compute 0.40^3 = 0.064 = 6.4%
Please help!
Three days a week after school, Sarah runs 2.2 miles each day. This week, Robert ran of the total d that Sarah ran. Also this week, Brooke ran 110% of the total distance that Sarah ran. What is the mea distance that each person ran this week?
A. 1.308 miles
B. 3.925 miles
C 5.995 miles
D. 17.985 miles
Answer:
c
Step-by-step explanation:
cvvvbbnh
What is the area of a circle that has a circumference of 125 feet?
Answer:
A≈1243.4ft²
Step-by-step explanation:
A=πr2
C=2πr
Solving forA
A=C2
4π=1252
4·π≈1243.39799ft²
Answer:
1243.4
Step-by-step explanation:
You can find the area of a circle from circumference with a few different formulae.
c = 2πr, or 19.89 * π = 125
Then, now that you know the radius, you can use the formula A = πr².
1243.4 = 395.79
Hope that this helps!
3. Find all real 4th roots of 81?
Answer:
Step-by-step explanation:
81^(1/4)=3
The picture shows
the layout of a
regular triangular
pyramid. Calculate
how many square
centimeters of paper
are needed to make
this pyramid. Provide
the answer to the
nearest square
centimeter.
Answers:
a) 693 sq cm (approximate)b) 48 sq cm (exact)============================================================
Explanation:
Part (a)
A regular triangular pyramid, aka regular tetrahedron, has all four triangles that are identical copies of one another. They are congruent triangles. This will apply to part (b) as well.
To find the area of one of the triangles, we'll use the formula
A = 0.25*sqrt(3)*x^2
where x is the side length. This formula applies to equilateral triangles only.
In this case, x = 20, so
A = 0.25*sqrt(3)*x^2
A = 0.25*sqrt(3)*20^2
A = 173.20508 approximately
That's the area of one triangle, but there are four total, so the entire area is about 4*173.20508 = 692.82032 which rounds to 693 sq cm.
The units "sq cm" can be written as "cm^2".
----------------------------
Part (b)
We'll use the same idea as part (a). But the formula to find the area of one triangle is much simpler.
The area of one of the triangles is A = 0.5*base*height = 0.5*6*4 = 12 sq cm.
So the area of all four triangles combined is 4*12 = 48 sq cm
This area is exact.
The area of each 2D flat net corresponds exactly to the surface area of each 3D pyramid. This is because we can cut the figure out and fold along the lines to form the 3D shapes.
3. What is the degree of each of the following polynomials?
a 25x3 + 12x2 -
b. 81 - a + 5a3
c. 95 +23y4 - 9113 +68y2 + 28y - 100
d. 126 – 86² +63
Answer:
I do believe the degree would be the exponents so for a I'm going to say 3 and 2.
Step-by-step explanation:
for b I'm going to say 3 for c I'm saying 4 and 2 and for d I'm going to say 2. I'm am rlly srry if this doesn't help or if it is wrong but I am hoping that it is right.
A FedEx truck has three cargo trailers attached to the back of the cab. If each trailer is 20 feet by 7 feet by 8 feet, how much capacity does the triple trailer have?
Answer:
3360ft^3
Step-by-step explanation:
Volume of each trailer = 20ft * 7ft *8ft
Volume of each trailer = 140*8
Volume of each trailer = 1120ft^3
Since there are 3 of such cargo;
Capacity of the trailer =3(1120)
Capacity of the trailer = 3360ft^3
Hence the capacity of the trailer is 3360ft^3
please answer this correctly and i will give brainliest
Answer:
1. D
2.C
3.D
4.D
5.C
6.A
7.B
What is the probability that Jenna buys exactly 3 bananas
Answer:
I can see black screen no photo for answering.
A population of bacteria has an average growth rate of 7%. The formula for the growth rate of the bacteria's population is A=P0 x 1,07^t, where is P0 is the original population and t is time in days. if you begin with 50 bacteria, about how many bacteria will be there be after 2 weeks? (round to the nearest whole number)
Step-by-step explanation:
be straight forward in the question
can someone help me lol
Step-by-step explanation:
your basically finding the area witch is b*h so for 3.(im not really sure so don't fully trust me on three lol) 6×8=48mm
then on 4. it's 10×13=130mi
Rocco has 26 pouches of coffee in his pantry. There are 12 more dark roasts than light roasts. How many dark roasts does Rocco have?
Answer:
19
Step-by-step explanation:
The dimentionsof the rectangular prisim shown are given im centameters what is the volume of the prism
Complete question :
The dimensions of a right rectangular prism are 1.5 cm, 0.5 cm and 2. 25 cm.
What is the volume of the prism?
A. 0.75 cm
B. 1.6875 cm
C. 3.375 cm
D. 4.25 cm
Answer:
1.6875 cm³
Step-by-step explanation:
Given the dimension :
1.5 cm by 0.5 cm by 2.25 cm
The volume of a rectangular prism is given by :
Volume = Length * width * height
Volume, V = 1.5cm * 0.5cm * 2.25cm
Volume of prism = 1.6875 cm³
Hence, the volume of the rectangular prism is 1.6875 cm³
49. When a store releases a new cell phone to customers, it expects its sales to decrease by 5% each month after the initial month. If the store sells 682 of a particular phone the first month, which exponential function models this situation x months after the initial month?
A f(x) = 682 • 1.05^x
B f(x) = 682 • 0.05^x
C f(x) = 682 • 0.95^x
D f(x) = 682 • 1.95^x
Answer:
C) f(x)= 682 • 0.95^x
Step-by-step explanation:
The formula for Exponential Decrease is given as:
y = a(1 - r)^x
Where
y = f(x)
a = Initial size of the population = 682
r = Growth rate = 5% = 0.05
x = Time is years
Therefore, our equation can be written as:
f(x) = 682 × (1 - 0.05)^x
f(x) = 682 × (0.95)^x
Therefore, the exponential function that models this situation x months after the initial month is
option C)
f(x) = 682 • 0.95^x
Andrew is flying a kite held by 175 meters of string that makes an angle of elevation with the ground of 40. Emma is standing directly under the kite. Approximately how far is Andrew from Emma?
Answer:
[tex]x=134.05m[/tex]
Step-by-step explanation:
From the question we are told that:
Slant Height of Kite [tex]h_s=175[/tex]
Angle [tex]\theta=40 \textdegree[/tex]
Since Emma,The Kite and Andrew forms a right angle triangle
Generally the equation for distance between Andrew from Emma is mathematically given by
[tex]x=h_scos\theta[/tex]
[tex]x=175cos40[/tex]
[tex]x=134.05m[/tex]
What value makes the 2 triangles congruent by SSS?
IT IS NOT 8 I TRIED AND IT'S INCORRECT
Answer:
8
Step-by-step explanation:
Side AB corresponds to side DE, so they must be congruent.
2y + 20 = 36
2y = 16
y = 8
Answer: 8
P.S. I don't see how the answer can be anything but 8.
Answer:
8
Step-by-step explanation:
"y" literally needs to be 8. It clearly says attempt 1 out of 20 in your screen. You haven't tried it and it's not incorrect. Stop the cap.
Enter a positive common factor (other than 1) of the fraction's numerator and denominator. 10/12
What is the surface area of a sphere that has a radius of 5 units? Use 3.14 for π.
The surface area of a sphere is 314.16 square units.
What is a sphere?A sphere is a 3 dimensional figure, which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the center of the sphere.
For the given situation,
The radius of the sphere,r = 5 units
The formula of the surface area of a sphere is
[tex]A=4\pi r^{2}[/tex]
On substituting the above values,
⇒ [tex]A=4(3.14)(5)^{2}[/tex] [∵ π = 3.14]
⇒ [tex]A=(4)(3.14)(25)[/tex]
⇒ [tex]A=314.16[/tex]
Hence we can conclude that the surface area of a sphere is 314.16 square units.
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If a ,b, c ,d, e have ages 12, 18 ,13, 16, 6 .find their average age respectively