Answer:
50
Step-by-step explanation:
The median number is known as the middles number
The first step is to rearrange the set of numbers starting from the lowest
25, 32, 32, 32, 33, 40, 47, 47, 48, 55, 56
Hence the middle number is 50
A company makes fish tanks in the shape of right rectangular prisms. The company has an order for a fish tank that must be exactly 4 feet long and hold at least 35 cubic feet of water. The company wants to save money on materials and will make the tank with the smallest surface area possible. The dimensions of the tank must be in whole foot increments and a top is included in the construction What dimensions for the width and height of the fish tank will satisfy the requirements
The dimensions for the width and height of the fish tank will be 4 feet and 2 feet .
What is dimension?Dimension is the measurable extent of a particular kind, such as length, breadth, depth, or height.
According to the given problem,
let , b = is the width of the fish tank
h = is the height of the fish tank given that , hold at least 35 cubic feet of water .
so ,
4×b×h ≥ 35
⇒ h ≥ 35/4b
now , surface area of the fish tank
⇒ 4b + 2× 4h + 2× bh
now substitute the value of h
here
⇒ ≥ 4b +70/b + 35/2
⇒ ≥ 40(70)^1/2 + 35/2 (if and only if b= (70)^1/2 / 2 , the equal sign holds )
therefore ,
= (70)^1/2 / 2 b ≈ 4.18 so b is 4 . when b = 4 ,
h = 35 / 4 × 4 = 2.1875 round off h = 2
so , the minimum surface area of fish tank is
⇒ 4×4+ 2× 4×2 + 2× 4×2⇒ 48
hence , the height and the width of the fish tank is 2 and 4 .
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1. Calculate the circumference of the circle to the right. Use 3.14 for at
34 cm
Circumference: Click to add text
Answer:
circumference of the circle=2πr
=2×3.14×17
=106.76cm
Joelle's homework covers multiplication with powers of 1010 . The first question on her homework is 32.4\ \times10^232.4 ×10 2 . What is the value of the expression?
Answer:
103.424
Step-by-step explanation:
Answer:
The answwer is 103.424 I am taking this CFA 5th grade test right now because school is almsot going to end.
Step-by-step explanation:
PLEASE HELP ASAP
The equation of the linear regression line represents the relationship between the amount a person saved, x, and the amount earned, y.
y^= 100x + 50
What does the slope of the line represent?
Hence, the slope of the line means for every one dollars the person earn the saving decrease by 1 dollars
How to know what the slope of a line represents?The equation of the linear regression line represents the relationship between the amount a person saved, x, and the amount earned, y.
Therefore,
y = 100x + 50
Using the linear equation model,
y = mx + b
where
m = slopeb = y-interceptTherefore,
slope = 100
y-intercept = 50
Hence, the slope represents for every one dollars the person earn the saving decrease by 1 dollars
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A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times.
What is the experimental probability of the arrow stopping over Section 1?
128
720
713
45
Section 1 Section 2 Section 3
28 36 16
Answer:
7/20Step-by-step explanation:
Frequency of Section 1 is 28 and total number of frequencies is 80.
P(Section 1) = 28/80 = 7/20Answer:
the frst person id wight!
Step-by-step explanation:
how do I solve −2x−9≥5 to get x
Answer:
x = - 7
Step-by-step explanation:
- 2x = 5 + 9
- 2x = 14
x = - 14 / 2
x = - 7
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
x ≤ -7
Step-by-step explanation:
−2x−9 ≥ 5
add 9 to both sides
-2x -9 +9 ≥ 5+9
-2x ≥ 14
divide -2 on both sides
since we're dividing by a negative number we need to flip our inequality sign
-2x/-2 ≥ 14/-2
x ≤ -7
What is the volume of this prism
Hi there!
[tex]\large\boxed{\text{A. } 320 cm^3}[/tex]
We can begin by finding the area of the base in order to solve for the volume.
Use the formula for the area of a trapezoid:
A = 1/2(b1 + b2)h
Substitute the given values:
A = 1/2(10 + 6)5
A = 1/2(16)5
A = 40 cm²
Multiply by the depth of the prism to solve for the volume:
40 × 8 = 320 cm³
Cual propiedad de los números complejos se muestran a continuación?
(2+3i) + (5-4i) = (5-4i) + (2+3i)
PLEASE HELP ME GUYS ×0×
Find the RATIO and the EXACT VALUE of the given Tan A.
Answer:
Step-by-step explanation:
take angle A as reference angle
using tan rule
tan A=opposite/adjacent
tan A=5/12
tan A=0.41
A=tan 22.5
A=22.5
for ratio,
tan A=5/12
Select the correct answer from the drop-down menu.
Consider this system of linear equations:
y- x= -13
-4x + 3y = -51
The solution of the system of equations is
Reset
Next
Answer:
y - x= - 13 -------(1)
- 4x + 3y = -51 -------(2)
(1) => y = - 13 + x
Substitute y in (2)
- 4x + 3( - 13 + x) = -51
- 4x - 39 + 3x = -51
- x = -51 + 39
- x = -12
x = 12
Substitute x in (1)
y = - 13 + x = -13 + 12 = - 1
x = 12, y = -1
A parabola has x-intercepts at -3 and 4. Write 2 possible equations of parabolas in
standard form that could satisfy the requirements.
x=-3
x=4
hope helps you
have a nice day
I can't figure out the answer
Answer:
63/100
Step-by-step explanation:
Im Pretty sure this the correct answer
35%of C is 127 write an equation to represent this problem and solve equation to find volume of C
35%c=127
i hope this helps
Answer:
c = 620 | (217 x 100) / 35
Step-by-step explanation:
To solve this problem you multiply 217 by 100 and then divide the total by 35 as follows: (217 x 100) / 35
change the decimals into percentage 6.1 and 0.6
Answer:
6.1 = 610%
0.6 = 60%
Step-by-step explanations:
Convert 6.1 to percentage[tex]= \frac{6.1}{1} * \frac{100}{100} =\frac{610}{100}[/tex]
[tex]= \frac{610}{100}[/tex] = 610%
Convert 0.6 to percentage[tex]=\frac{0.6}{1} * \frac{100}{100} =\frac{60}{100}[/tex]
= [tex]=\frac{60}{100} =[/tex] 60%
Step-by-step explanation:
6.1=61 percent
0.6=6 percent
Jake wants to distribute 543 marbles equally among 7 of his friends. In which place is the first digit of the quotient?
Answer:
tens place
Step-by-step explanation:
543/7≈77.5714285714
the first digit of the quotient is in the tens place
The first digit of the quotient is in tens place.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Jake wants to distribute 543 marbles equally among 7 of his friends.
Now,
Since, Jake wants to distribute 543 marbles equally among 7 of his friends.
Hence, Number of marbles get by each friend = 543/7
= 77.57
Thus, The first digit of the quotient is in tens place.
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Write the equation of the line in fully simplified slope-intercept form.
Suppose the two measures of a center are 82.5 degrees and 83.6 degrees. Which value is the mean?
A. 82.5
B. 83.6
Answer:
[tex]Mean=83.05^{\circ}[/tex]
Step-by-step explanation:
Given that,
The two measures of a center are 82.5 degrees and 83.6 degrees.
We need to find the value of the mean.
We know that,
[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Total no of observations}}[/tex]
So,
[tex]M=\dfrac{82.5 +83.6 }{2}\\\\M=83.05^{\circ}[/tex]
So, the value of the mean is equal to [tex]83.05^{\circ}[/tex].
Multiply the binomials (5x-2)(x+3)
Answer:
5x² + 13x - 6
Step-by-step explanation:
F - First ( multiply the first terms from each bracket )
I - Inner ( multiple the last term of the first bracket and the first term of the second bracket )
O - Outter ( multiply the outer terms i.e the first term of the first bracket with the last term of the 2nd bracket )
L - Last ( multiply the last terms of the brackets i.e the last term in the second bracket and the last term in the second bracket )
dont forget to take sign convention into consideration .
Which one is it? please help its due soon
Answer:
dependant clause I think so I don't know sorry
Which solution is correct? Be sure to check for extraneous solutions.
2/x / 1/4 = 1/x
a) x=2
b)no solution
c)x=-1
d)x=-4
Please help!!!!!!!!!1
what is the volume of a cylindrical can of radius 2 inches and height of 6 inches.
Volume of a cylinder = pi x r^2 x h
R is the radius which is given as 2 inches.H is the height given as 6 inches.
Using 3.14 for pi:
Volume = 3.14 x 2^2 x 6
Volume = 75.36 cubic inches
Answer:
[tex]\large \sf {\underline{\underline{ \fcolorbox{green}{g}{vσlumє \: σf \: cчlíndєr \: ís \: 75.36 \: cuвíc \: ínchєs}}}}[/tex]
Step-by-step explanation:
◇ Gívєn ◇➟ Rαdíus σf cчlíndrícαl cαn ís 2 ínchєs.
➟ Hєíght f cчlíndrícαl cαn ís 6 ínchєs.
◇ Fínd ◇➟ Vσlumє σf cчlíndrícαl cαn.
◇ Fσrmulα Usєd ◇➟ vσlumє σf cчlíndєr = π × r ² × hєíght
◇ Sσlutíσn ◇wє usєd fσrmulα
vσlumє σf cчlíndєr = π × r ² × hєíght
vσlumє σf cчlíndєr = 3.14 × (2 ínchєs) ² × 6 ínchєs
vσlumє σf cчlíndєr = 3.14 × 4 squαrє ínchєs × 6 ínchєs
vσlumє σf cчlíndєr = 3.14 × 24 cuвíc ínchєs
vσlumє σf cчlíndєr = 75.36 cuвíc ínchєs
–––––––––☆–––––––––HelpPPppPpPpPppPpP PLEASE:>
Answer:
number 2 is the answer by looking at the slopes of the lines.
For an equation that represents as a function of the set of all values taken on by the ________ variable is the domain, and the set of all values taken on by the ________ variable is the range
Answer:
Independent [tex]\to[/tex] Domain
Dependent [tex]\to[/tex] Range
Step-by-step explanation:
Required
Fill in the gaps
A function is represented as:
[tex]y = f(x)[/tex]
Where, x represents the set of input values (or the domain) and y, the set of output values (or the range).
Since the input values are represented by x, they are referred to as the independent variables while the output values are referred to as the dependent values because they depend on the x values for their output.
The sum of two numbers is 12. When one number is subtracted from three times the other, the result is 4.
Find the numbers.
Answer:
1 2/3, 10 1/3
Step-by-step explanation:
x + y = 12
(3x - 1) = 4
let x = 12-y
substitute:
3(12-y) - 1 = 4
36 - 3y - 1 = 4
35 - 3y = 4
-3y = -31
y = 31/3 or 10 1/3
x = 11 3/3 - 10 1/3 which is 1 2/3
when the input to a function is -2,the output is 4.
Which statement about this function must be true?
A. an input of -2 has infinitely many possible outputs.
B. an input of -2 has exactly one possible output.
C. an output of 4 has infinitely many inputs.
D. an output of 4 has exactly one input.
Answer:
B)
Step-by-step explanation:
simplify (2 3/5-1 2/3)×5/8
Answer & Step-by-step explanation:
Simplify the expression.
Exact Form:
7/12
Decimal Form:
0.583
Hope this Helps!!! :)
If you have any questions contact me in the comment section below!
Need help with 2 and 3 ASAP PLEASE SHOW WORK it’s due soon please
Answer:
The volume of the cone is 25.13, the other one is 167.55
Step-by-step explanation:
v = 1/3pi(2)^2(6)
simplify and divide the above.
v = 25.13
1/3pi(4)^2(10)
= 167.55
how would i analyze this ???
Answer:
2018
Step-by-step explanation:
how many equal parts are in each whole? iready
What is 32% of 150
Please show work or explain your thinking