Answer:
There are infinitely many solutions. Start with five data, in size order: a < b < c < d < e. Then c=11, the median. To get the mode of 12, we must have d=e=12. Thus far, we have (a+b+11+24)/5 = 10 the mean. But now we have run out of requirements, and we still have two unknowns. They satisfy a+b+35 = 50. Thus, pick any two values a not equal to b that add to 15 and are both less than 11.
The full set of solutions are points (a,b) run along a line joining the points (4,11) and (11,4) on graph paper, except (7.5, 7.5) and the endpoints. That would make competing modes. Try a=5.6 and b = 9.4 for instance!
the answer may be 5,6,12,13,14
its have many answer n this is one of it
i hope it can help u
Which equation represents a line which is parallel to the y-axis?
x = 6
O y = -1
Submit Answer
O x = 4y
Oy= 2 +1
PLS HELP ASAP
Answer:
x=6
Step-by-step explanation:
when there is no 'y' in equation, the line is always
parallel to y-axis
solve (x+1) (x-11) = -36
x = ?
can someone help pls
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
1. Approach
The most logical steps to solve the given equation are to distribute and simplify the left side of the equation. Then use inverse operations to bring all of the terms to the left side of the equation. After doing so, one can factor the equation again, then use the zero-product property to solve it.
2. Simplify
Distribute the terms on the left side, multiply everything in the first parenthesis by everything in the second,
[tex](x+1)(x-11)=-36[/tex]
[tex](x)(x)+(1)(x)+(-11)(x)+(1)(-11)=-36[/tex]
Simplify this expression by performing the multiplication and then combining like terms,
[tex](x)(x)+(1)(x)+(-11)(x)+(1)(-11)=-36[/tex]
[tex]x^2+x-11x-11=-36[/tex]
[tex]x^2-10x-11=-36[/tex]
Inverse operations,
[tex]x^2-10x-11=-36[/tex]
[tex]x^2-10x+25=0[/tex]
3. Factor and solve,
Now that has the simplified version of the equation, one should factor it. Rewrite the quadratic expression as a product of two linear expressions,
[tex]x^2-10x+25=0[/tex]
[tex](x-5)^2=0[/tex]
Use the zero product property to solve this expression. The zero product property states that any number times zero equals zero. Since ([tex](x-5)^2[/tex]) is just ([tex]x-5[/tex]) multiplied by itself, thus, when solving, one can ignore the square part of the equation:
[tex](x-5)^2=0[/tex]
[tex]x-5=0[/tex]
Inverse operations,
[tex]x-5=0[/tex]
[tex]x=5[/tex]
At a small private college 9 / 20 of the students are female if there are 2160 female students how many male students
Answer:
4800
Step-by-step explanation:
x is the number of total students
x * 9/20 = number of female students
x * 9/20 = 2160
Multiply each side by 20/9
x * 9/20 * 20/9 = 2160 * 20/9
x =4800
A swimming pool holds liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in minutes, and the second pipe alone can empty it in minutes. When both pipes are draining together, how long does it take them to empty the pool
Answer:Pipe 1 is emptying the pool at 600,000/200 = 3000 liters per minute.
The second pipe empties the pool at 600,000/120 =5000 litres per minute. With both pipes the pool will be emptied at 8000 litres per minute. It will therefore take 600,000/8000 = 75 minutes to empty the pool of water when both pipes are draining together.
Step-by-step explanation:
PLS HELP IF DONE CORRECTLY I WILL MARK AS BRAINLIEST!!! In ΔJKL, solve for x
Answer:
x = 74.89
Step-by-step explanation:
Because this is a right triangle we can use trigonometric ratios to solve for x
Remember the three main trig ratios are sine, cosine and tangent
Where
Sine = Opposite over Hypotenuse
Cosine = Adjacent over Hypotenuse
and Tangent = Opposite over Adjacent
In order to use trig ratios we must have a known angle that is not a right angle.
We are given ∠J which has a measure of 27°
We are also given ∠J's opposite side length. ( has a length of 34 )
and "x" is the hypotenuse.
When dealing with opposite and hypotenuse we use Sine
SineФ = Opposite over Hypotenuse
Ф = 27, opposite = 34 and hypotenuse = x
Sin(27) = 34/x
solve for x
Multiply both side by x
sin(27) x = 34
divide both sides by sin (27)
x = 34 / sin (27)
simplify
x = 74.89 ( rounded to the nearest hundredth )
and we are done!
Answer:
The answer is 74.89
Step-by-step explanation:
Well it gives you 2 angles and one side length using the formula Called SAS you can find the missing lengths and side x = 74.891 while the other side equals 66.729. Hope this helps
What's the area of a room that 18ft by 10ft
Answer:
180 square feet
Step-by-step explanation:
Square footage is calculated by multiplying width by length. So if a room is 18 foot wide by 10 foot long, 18 x 10 = 180 square feet.
multiply : (5x+3a) (5x-3a)
given xz with x(1,9) and z(5,-11) if y lies on xz such that the ratio of xy to xz 1:4, find the coordinates of y
If a segment XZ joining two endpoints X[tex](x_1,y_1)[/tex] and Z[tex](x_2,y_2)[/tex] is divided by a point Y(x, y) externally in the ratio of m : n,
Coordinates of the point will be,
x - coordinates → [tex]\frac{mx_2-nx_1}{m-n}[/tex]
y - coordinates → [tex]\frac{my_2-ny_1}{m-n}[/tex]
If the coordinates of the endpoints X and Z are (1, 9) and (5, -11) respectively and the ratio in which a point Y divides the segment is 1 : 5,
(Since, XY : XZ = 1 : 4 therefore, XY : YZ = 1 : 5)
Therefore, coordinates of Y will be,
x- coordinates → [tex]\frac{1(5)-5(1)}{1-4}=0[/tex]
y-coordinates → [tex]\frac{1(-11)-5(9)}{1-5}=\frac{-56}{-4}=14[/tex]
Therefore, coordinates of Y will be [tex](0,14)[/tex].
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Seven more than the quotient of a number and 5 is equal to 4.
Use the variable b for the unknown number.
Answer:
7 + b/5 = 4
OR
b/5 + 7 = 4
Step-by-step explanation:
also, b = -15
-X -y -32 = -9
Z= -3x - 1
z = 5y -Z + 23
Answer:
[tex]x = - \frac{85}{46} [/tex]
[tex]y = - \frac{64}{23} [/tex]
[tex]z = \frac{209}{46} [/tex]
for f(x)=x^2-2, find the rate of change on the interval [-2,4]
Answer:
2
Step-by-step explanation:
steps are in picture.Ignore hand writing
Solve for b.
2(b − 8) + –11 = 3
b =
Answer:
b = 15
Step-by-step explanation:
2 (b - 8) + -11 = 3
2b - 16 + -11 = 3
2b - 16 + -11 = 3
2b - 27 = 3
2b = 3 + 27
2b = 30
b = 30 ÷ 2
b = 15
Answer:
[tex] = > 2(b - 8) + - 11 = 3[/tex]
[tex] = > 2b - 16 + - 11 = 3[/tex]
[tex] = > 2b - 27= 3[/tex]
[tex] = > 2b = 27 + 3[/tex]
[tex] = > 2b = 30[/tex]
[tex] = > b = \frac{30}{2} [/tex]
[tex]=>b=15[/tex]
(3,-2)
– 2-
→
(1,0)
how many times am i moving ?
Answer:
Step-by-step explanation:
i have no idea how to solve this help
Answer:
Length(L) = y
perimeter of square = 4L
since L = y
so perimeter of square is 4y
What's the value of u+ v
The hypothetical solution for the values of u + v = 3/10
The values of u and v aren't given in the question. However, giving an hypothetical solution to the problem.
Since we have an addition operator to be used on the values of u and v
Taking the values of u and v to be a real number such as :
u = 1/10 and v = 1/5
u + v = 1/10 + 1/5
Taking the L. C. M of 10 and 5;
L. C. M = 10
HENCE,
u + v = 1/10 + 1/5 = (1 + 2) / 10 = 3/10
Hence, the value of u + v = 3/10
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Answer: what??
Step-by-step explanation:
The velocity, V, of a specific object being dropped from a particular height, h, can be found by the radical function V equals the square root of the quantity 2 times h times a end quantity where a represents the acceleration in ft/sec2. If the acceleration due to gravity is 32.2 ft/sec2, at what height should you drop an object in order for it to have a velocity of 70 ft/sec?
Answer:
20.3 ft/sec
Step-by-step explanation:
Answer:
76.1
Step-by-step explanation:
I don’t know I forgot to show my work but I got it right lol
Determine whether each situation is an example of inductive reasoning or deductive reasoning and explain why.
A. The last few times I’ve driven past the beach on a sunny day, the parking lot was nearly full. Therefore, on sunny days, the beach parking lot will be nearly full.
B. On Thursdays, the trash gets picked up at the curb of the driveway. Today is Thursday. Therefore, the trash will get picked up at the curb of the driveway today.
Select the correct answer from each drop-down menu.
Statement A is an example of (A. Deducting reasoning B.inducting reasoning)The statement (A. applies and established truth to a specific example B. Uses previous examples to make a conjecture)
Statement B is an example of (A. Deducting reasoning B.inducting reasoning)The statement (A. applies and established truth to a specific example B. Uses previous examples to make a conjecture)
Answer: here it is
Step-by-step explanation:
Statement A is an example of inductive statement, whereas, statement B is a example of deductive statement.
What is inductive reasoning?Inductive reasoning is a method of reasoning in which a body of observations is considered to derive a general principle. It consists of making broad generalizations based on specific observations.
For example,
The last few times I’ve driven past the beach on a sunny day, the parking lot was nearly full. Therefore, on sunny days, the beach parking lot will be nearly full.
What is deductive reasoning?Deductive reasoning is the mental process of drawing deductive inferences. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if it is impossible for the premises to be true and the conclusion to be false.
For example,
On Thursdays, the trash gets picked up at the curb of the driveway. Today is Thursday. Therefore, the trash will get picked up at the curb of the driveway today.
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Select all numbers that will round to 600 when rounded to the nearest hundred.
550
575
596
602
667
Answer:
550, 575, 596, 602
Answer:
Anything greater or equal to 550 will be rounded to 600
and anything less than 650 will be rounded to 600,
So the numbers are:-
550
575
596
602
The quotient of is
.
Answer:
4y
Step-by-step explanation:
this is the answer. I am sure of it.
if LN=9x-39, LM=47, and MN=3x+10 find MN
Answer:
11
Step-by-step explanation:
ML+LN=MN solve for x
(47)+(9x-39)=(3x+10) = 1/3
x = 1/3
plug into MN
3(1/3)+10=11
Which pair of transformations moves quadrilateral 1 to quadrilateral 2?
a:Reflect over the line y = -3, then rotate it 90 degrees counterclockwise about the origin
b:Reflect it over the x-axis, then rotate it 180 degrees about the origin
c:Rotate it 90 degrees counterclockwise about the point (-3, -3) then translate it 8 units to the right
d:Translate it 8 units to the right, then reflect it over the line y=-3
Answer:
Answer choices:
a. Reflection takes it to Q2, further rotation takes it back to Q3
Incorrectb. Reflection takes it to Q2, rotation takes to Q4 with right shape.
Correctc. Rotation takes is to Q4, translation keeps in same Q but with wrong shape
Incorrectd. Translation takes it to Q4, reflection keeps it in same Q but with wrong shape
IncorrectBecause the shape is present in Q3
So reflection over x axis takes it to Q2
Then 180° rotation about origin takes it to Q4
Hence Option B is correct
A triangle has a perimeter of 11.5 feet. The side lengths are x feet, 2x – 2 feet, and 3x + 1.5 feet. What is the value of x?
Answer:
x = 2 feetStep-by-step explanation:
We know that the perimeter is the sum of side lengths.
P = a + b + cSubstitute the values and solve for x:
x + 2x - 2 + 3x + 1.5 = 11.56x - 0.5 = 11.56x = 12x = 12/6x = 2Answer:
[tex]perimeter = h + l + b \\ = x + 2x - 2 + 3x + 1.5 = 11.5 \\ x \: terms \: togather \\ x + 2x + 3 x- 2 + 1.5 = 11.5 \\ 6x - .5 = 11.5 \\ 6x = 11.5 + .5 \\ 6x = 12 \\ x = \frac{12}{6} \\ x = 2 \\ thank \: you[/tex]
1. Define Line, Line segment and Ray.
2. Define Complementary Angles.
3. Define Supplementary Angles.
4. Define Adjacent Angles.
5. Define Linear Pair
Answer:
A line is a straight path of points that has no beginning or end
A line segment is a portion of a line that has two endpoints
A ray is a portion of a line which has one endpoint and extends forever in one direction
Complementary angles are two angles whose sum adds up to 90 degrees
Supplementary angles are two angles that add up to 360 degrees
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level?
The percent of questions that are intermediate is approximately %
(Round to the nearest whole percent as needed.)
X
3
VE
The required percentage of the 30 intermediate-level questions is 20%.
Given that,
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level is to be determined.
the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
the required percentage of the intermediate difficult question,
= 30 / 149 * 100
≈ 0.20 * 100
≈ 20%
Thus, the required percentage of the 30 intermediate level question is 20%.
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What is 898995x10007766767
Answer: 8.9969323e+15
Which equation should you solve to find X?
10
х
26
9
A. tan 26°
9
2
B. cos 26°
io
O C. cos 26°
9
10
D. sin 26°
10
N
Answer:
From SOHCAHTOA
Sine=Opp/Hyp
Sin26 = x/10
This is the appropriate eqn to solve this
OPTION D IS YOUR ANSWER!
on monday 382 students went on a trip to the zoo. all 9 buses were filled and 4 students had to travel in cars. how many students were in each bus?
Answer:
42 students
Step-by-step explanation:
If 4 students had to travel in cars, then 382 - 4 = 378 students traveled in the buses. Since there were 9 buses, 378 / 9 = 42. Therefore, there were 42 students in each bus.
Can someone pls explain how to do order of operations
Answer:
do you mean PEMDAS?
Step-by-step explanation:
parenthesis, exponents, multiplication, division, addition, and subtraction
you solve in order and go left to right
if you give an equation i can explain it better, but it's basically that
Step-by-step explanation:
1- solve operation in parantheses or brackets.
2- we solve any exponent
3- solve all multiplication and division left to right
10 A frustum is a portion of a solid. The frustum shown opposite is formed from a cone.
a What is the volume of the missing top cone? Give answers correct to the nearest cubic metre.
b What was the volume of the entire cone?
c What is the volume of the frustum?
Step-by-step explanation:
all you needed to do was a quick search on the internet : "volume of a cone".
and you get immediately :
pi×r²×h/3
the reason is similar to all other volume formulas : base area times height. for pyramids and cones there are factors included to reduce this a bit, because they simply don't go straight up from their base area, so they have less volume than comparable objects that do go straight up (like a cylinder compared to a cone).
r = radius
h = height
so, for a) we only need to use the calculator :
pi × 5² × 30 / 3 = pi×25×10 = 785.4 ≈ 785 m³
for b) we need to do the same thing, but with r = 10 and h = 60.
pi × 10² × 60 / 3 = pi×100×20 = 6283.2 ≈ 6283 m³
so, for c) we only need to subtract the result of a) from the result of b)
the frustum is the volume of the large cone minus the volume of small, top cone.
6283 - 785 = 5498 m³
An expression is shown below.
6ab^2 + 9a^2b
Which of the following shows an equivalent expression?
Answer:
C. 3ab ( 2b + 3a )
Step-by-step explanation:
substitution
Hi! I'm happy to help!
To first solve this, Let's see if we can simplify our expressions using the order of operations: our original expression cannot be simplified. The first expression cannot be simplified. The second expression we can multiply the outside by the parenthesis by the inside, same with the third and fourth.
(make sure everything outside of the parenthesis is being multiplied by each part inside of the parenthesis)
9a²b²
9a²b²
3ab(3b+2a)
ab(9b+6a)
b(9ab+6a²)
9ab²+6a²b
3ab(2b+3a)
ab(6b+9a)
b(6ab+9a²)
6ab²+9a²b
3a²b²(2b+3a)
a²b²(6b+9a)
b²(6a²b+9a³)
6a²b³+9a³b²
Now that we have all expressions fully simplified, let's compare to see which one matches.
Our first expression is nowhere close to what our original expression is, 1 is incorrect.
Our second expression is close, but it has the 9 and the 6 flipped, even if we rearrange the expression like this, 6a²b+9ab², it still doesn't match, so 2 is also incorrect.
Our third expression has the correct numbers, variables, placement, and exponents, so 3 is correct.
Our fourth expression has incorrect exponents, the expression made every variable multiplied by ab an extra time, so 4 is incorrect.
In summary, you should pick number 3, because it is equivalent.
I hope this was helpful, keep learning! :D