Answer:
4 , 4 , 5 , 6 , 11
Step-by-step explanation:
Mode = 4
So at least two times 4 should be there in the data.
And median is 5. So the middle term ( 3rd term} should 5.
Let x and y be the 4th term and 5th term
Data set:
4 , 4 , 5 , x , y
Mean =6
[tex]\frac{4+4+5+x+y}{5}=6\\[/tex]
4+4+5 +x + y = 6*5
13 + x + y = 30
x + y = 30 - 13
x + y = 17
x ,y can be any numbers that sum up to 17.
x , y can be 10 , 7 or 6, 11
Data set: 4 , 4 , 5 , 6, 11
Find the vertical asymptotes of the function (x-1)(x-3)^2(x+1)^2/(x-2)(x+2)(x-1)(x+3)
Answer:
x=2, x=-2, x=-3
Step-by-step explanation:
-check if anything simplifies
(x-1)(x-3)²(x+1)² / (x-2)(x+2)(x-1)(x+3), simplify (x-1)
(x-3)²(x+1)² / (x-2)(x+2)(x+3)
-make the denominator 0 to find the asymptotes
(x-2)(x+2)(x+3) = 0
(x-2) =0 gives x = 2 asymptote
(x+2) =0 gives x= -2 asymptote
(x+3) = 0 gives x=- 3 asymptote
Find two different integers such that the square of the integer is 12 less than seven times the integer
9514 1404 393
Answer:
3, 4
Step-by-step explanation:
If x represents the integer, then the relationship required is represented by the equation ...
x^2 = 7x -12
x^2 -7x +12 = 0 . . . . put in standard form
(x -3)(x -4) = 0 . . . . . factor
The values of x that make this relation true are x=3 and x=4.
The two integers are 3 and 4.
Factor the greatest common factor. 5xy4-20x2y3
Answer:
Step-by-step explanation:
The greatest common factor of 5 and -20 is 5
x: the greatest common factor is x
y: the greatest common factor is y^3
Answer: 5xy^3(y - 4x)
A shipping container is in the shape of a right rectangular prism with a length of 13 feet, a width of 9 feet, and a height of 4 feet. The container is completely filled with contents that weigh, on average, 0.61 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
285pound
Step-by-step explanation:
Volume of the container = length * width * height
= 13 * 9 * 4
= 468 cubic feet
Weight of the contents in the container = 468 * 0.61 = 285.48 = 285pound
Which answer shows 0.00897 written in scientific notation?
From what I heard it's not D
Answer:
B
Step-by-step explanation:
The decimal number 0.00897 written in scientific notation is 8.97 ×10^3 and it has significant figures
Answer:
8.97 * 10⁻³
Step-by-step explanation:
0.00897 = [tex]\frac{8.97}{1000}=8.97 * 10^{-3}[/tex]
Place the decimal point after the first nonzero number.
Write the power of 10,
(i) If we move the decimal to the right, the power of 10 decrease by number of moves.
(ii) If we move the decimal to the left, the power of 10 increase by the number of moves
What is the length of AC
Answer:
x=9 ⇒AC=24
Step-by-step explanation:
vì DE//B C⇒ΔABC Tương ung ti tỉ lệ vớiv ΔADE
⇒DB/AB=EC/AC
⇒AC=(EC.AB)/DB
⇒AC=24
Solve the simple interest formula, I = Prt, for P. (2 points)
P = Irt
P equals r over i t
P equals i over r t
Answer:
t= i/pr
Step-by-step explanation:
We were given that the amount of simple interest earned is given by the formula, i= prt
The above formula is an example of a literal equation.
We want to solve this formula for T.
But we can observe that the product of two letters are multiplying the letter T.
So we multiply both sides of the literal equation by the reciprocal of PR witch is 1/PR to obtain, I*1/PR=*PRT
This implies that, i/pr=t
We can rewrite this as, t=i/pr
Therefore the correct answer is C.
find find x in the diagram with angle 56 degree
What is the surface area of the cylinder with height 5 ft and radius 2 ft? Round your
answer to the nearest thousandth.
Answer:
87.965
Step-by-step explanation:
surface area of a cylinder,
2πr²+2πrh (where r = radius, h = height)
given, h = 5, r = 2
so,
2πr²+2πrh
= 2π×2²+2π×2×5
= 8π+20π
= 28π
= 87.9645943..
= 87.965 (rounded to the nearest thousand)
An airplane travels 4020 kilometers against the wind in 6 hours and 4800 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?
Answer:
Rate of plane 735 km/hr
Rate of wind 65 km/hr
Step-by-step explanation:
Calculation to determine the rate of the plane in still air
Let Va represent the velocity of the airplane
Let Vw represent the velocity of the wind
When flying with the wind:
(Va+Vw)*(6 hours) = 4800
6Va + 6Vw = 4800
6Vw = 4800 - 6Va
Vw=4800/6-Va
Vw = 800 - Va
When flying against the wind:
(Va-Vw)*(6 hours) = 4020 km
6Va - 6Vw = 4020
Substitute 800-Va for Vw and solve for Va:
6Va - 6(800-Va) = 4020
6Va -4800 + 6Va = 4020
12Va = 8820
Va=8820/12
Va = 735 km/hr
Therefore the rate of the plane in still air is 735 km/hr
Calculation to determine the rate of the wind
Rate of wind:
Vw = 800 - Va
Vw= 800 -735
Vw= 65 km/hr
Therefore the rate of the wind is 65 km/hr
Х
49°
X =
degrees
What do I do
Answer:
x = 139
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angle
x = 49 +90
x = 139
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
[tex] \bf \large \implies \: x \: = \: 49 \degree \: + \: 90 \degree[/tex]
[tex] \bf \large \implies \: x \: = \: 139 \degree [/tex]
Given a line segment that contains the points A,B, & C in order,if AB = 2x + 3, BC = 4x - 11, and AC = 28, find the length of segment AB.
Answer:
15
Step-by-step explanation:
AB+BC=AC
2X+3+(4X-11)
6X-8=28
6x= 36
x=6
then ab= 2(6)+3
=15
bc= 4(6)-11
=13
ac=ab+bc
=15+13
=28
Write the expression 4^4(4^-7)(4) using a single
exponent.
4^-28
4^-4
4^-3
4^-2
Answer:
4^(-2)
Step-by-step explanation:
4^4(4^-7)(4)
We know that a^b * a^c = a^(b+c)
4^4(4^-7)(4^1)
4^(4+-7+1)
4^(-2)
Type the correct answer in the box. If necessary, use / for the fraction bar.
Your teacher gave you 1/2 of a bag of candy, but she only gave your friend 1/3 of a bag. How much more of the bag did your teacher give you than your friend?
Answer:
We can convert the 2/3 bag of candy that we got to 16/24, by multiplying both the top and bottom by 8. Similarly, we multipy the 1/8 bag of candy that our friend got by 3 on the top and bottom to get 3/24.
We find the difference between these two:
(16/24) - (3/24) = (16-3)/24 = 13/24
So we get 13/24 more of the bag of candy than our friend did.
Answer:
1/6
Step-by-step explanation:
you’re being asked the difference between the amounts of your candy and your friend’s candy.
So you must subtract 1/3 from 1/2.
=> 1/2 - 1/3
=> 3*1 - 2*1/3*2. ( You criss-cross and you multiply the denominators)
=>. 3 - 2 /6
=> 1/6
So you got 1/6 more candies in your bag than your friend.
Triangle QRP is congruent to triangle YXZ. What is the perimeter of triangle YXZ?
What is the perimeter of triangle YXZ?
Answer:
Perimeter of XYZ = Perimeter of QRP
Step-by-step explanation:
Since congruent then
P of XYZ = P of QRP
Chen I’d bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cat fruit. The food cost is molded by the equation 5v + 7f = 28.70, where V represents the cost of 1 pint of cut veggies and F represents the cost of one pint of grapefruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (round to the nearest cent, as needed)
Answer:
answer to that is A 1.75 per pint
The card you pick from a normal pack is from a red suit
Answer:
1/2
Step-by-step explanation:
Total number of cards in a normal pack = 52
Red cards in a pack = 26
Probability of getting a red card = 26/52
or 1/2 (simplest form)
Fifteen years from now, Atli’s age will be 4 times his current age. What is his current age?
Answer:
he is three i think
Step-by-step explanation:
someone please help me with this question
Answer:
Step-by-step explanation:
The diagram is given to you below. I could not change <C so that it was theta. So C = theta.
So C is the reference angle. Call it theta when you think of it. The diagram shows you how cos(C) must be set up.
The adjacent side is 7
The hypotenuse is 18
theta = C = cos-1(7/18) = 67.11
To the nearest degree 67.11 = 67
Exercise A Rewrite each of the following expressions. Use the
words divided by. Then set up the division problem. Look at the
examples on the top of this page.
Miles per hour
Answer:
gansjehensjhebebsbbvevbeb
Step-by-step explanation:
bebbdnxnbahwv sbbhw €6%×:nbbe
Solve :-
2y+1=17
......
Answer:
Solution given:
2y+1=17
subtracting both side by 1
2y+1-1=17-1
2y=16
dividing both side by 2
2y/2=16/2
y=8
The value of y is 8.If 55% people in a city like Cricket, 30% like Football and the remaining like nother games, then what per cent of the people like other games? If the total people is 60 lakh, find the exact number who like each type of games Answer it fast, no spam please
write in notebook
[tex]\large{\dag\:{\underline{\underline{\frak{\pmb{\red{Answer:-}}}}}}}[/tex]
Cricket = 55%Football = 30%Other games = Remaining (?)So, the percent of people who like other games equals:
= 100 – (55 + 30)
= 100 – 85
= 15%
If the total no. of. people is 60,00,000:
★ Cricket
= 60,00,000 × 55/100
= 33,00,000
★ Football
= 60,00,000 × 30/100
= 18,00,000
★ Other sports
= 60,00,000 × 15/100
= 9,00,000
A group has more than $120 to spend. The inequality 5x + 20 > 120 represents the cost to rent a hall for a conference, where x represents the number of hours the group can rent the hall. Which of the following is the solution for this situation?
Answer:
x>20
Step-by-step explanation:
You want to try and get the x alone so
5x + 20 > 120
-20 -20 Subtract 20 from each side
5x > 100
5x/5 > 100/5 Divide 5 from each side
x > 20
A ,b,c or d? I need help pls help me
It depends a lot on where you live. But I would assume the answer is apples. I hope this helps you out and have a nice day! :)
. Doanh nghiệp dự tính đầu tư góp vốn liên doanh với số tiền ban đầu là 500 trđ, trong vòng 4 năm, lãi suất dự kiến là 12%/năm. Tính tổng số lãi của hoạt động đầu tư liên doanh thu được sau khi kết thúc liên doanh ?
find the value of x.
Answer: x=35
Step-by-step explanation:
To find the value of x, we can use the Pythegorean Theorem because this is a right triangle.
Pythagorean Theorem: a²+b²=c²
[tex]12^2+x^2=(x+2)^2[/tex] [exponent and distribute]
[tex]144+x^2=x^2+4x+4[/tex] [subtract both sides by 144]
[tex]x^2=x^2+4x-140[/tex] [subtract both sides by x²+4x]
[tex]-4x=-140[/tex] [divide both sides by -4]
[tex]x=35[/tex]
Now, we know that x=35.
what is the solution to Y=-2x²+4x+8
Y=-4x+16
Hi there!
[tex]\large\boxed{(2, 8)}[/tex]
Solve by setting the two equations equal to each other:
-2x² + 4x + 8 = -4x + 16
Move all terms to one side:
-2x² + 4x + 4x + 8 - 16 = 0
Simplify:
-2x² + 8x - 8 = 0
Factor out a negative 2 from each term:
-2(x² - 4x + 4) = 0
Factor:
-2(x - 2)² = 0
Set the factor equal to 0 to solve:
(x - 2)² = 0
x - 2 = 0
x = 2
Substitute this value of x into an equation to find the shared y value:
y = -4(2) + 16 = 8
the product of a number and four, increased by one, is at least 7.
Answer:
4/6
Step-by-step explanation:
a number which means "x" or u can name any variable u want
so the product of a number and four means
X×4
the increased by one or plus one
X×4+1
is at least 7
X(4)+1=7
4x+1=7
4x=7-1
4x=6
x=4/6
i guess so
lemme know if I'm right
Answer:
x≥3/2
Step-by-step explanation:
since we know that there is an unknown number being multiply with four, we're going to represent it as x:
(x*4)
It then multiply it with one:
(x*4)+1
And we know that it has to be 7 or greater than that:
(x*4)+1≥7
Now, we're going to do the math:
4 multiply with x is 4x
(x*4)+1≥7= 4x+1≥7
then, we're going to toss one to another side and minus it with seven
4x+≥7-1 = 4x+≥6
afterward, we divide everything by four to find what x is:
(4x+≥6)/4 = x≥3/2
The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington, DC is 110 miles. On the map, how many centimeters are between the two cities?
