Answer:
62, 63, 64
Step-by-step explanation:
The middle integer of three consecutive integers will be the average of them. That is, it will be their sum, divided by 3.
__
The middle integer is 189/3 = 63.
The three consecutive integers are 62, 63, 64.
_____
Additional comment
If you'd like to write an equation that tells you the same thing, let x represent the middle integer. Then the lower one is x-1, and the upper one is x+1. Their sum is ...
(x-1) +x +(x+1) = 189
3x = 189 . . . . . . . . . . . . simplify
x = 189/3 = 63 . . . . . . . divide by the coefficient of x
(x-1) = 63-1 = 62 . . . . . . find the other two integers
(x+1) = 63+1 = 64
A bag contains 4 red marbles, 8 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?
Answer:
0.015
Step-by-step explanation:
We want to know that probability that we draw a green marble for the first AND the second AND the third draws. The act of drawing each marble changes the probabilities of the next draw, so we say that these events (drawing green marbles) are dependent. Mathematically, this means we'll be multiplying the probabilities of each event to get the probability of the whole thing. I'll denote the first, second and third green marble drawing events as A, B, and C.
For our first drawing, we have 5 possible green marbles to pick from out of 4 + 8 + 5 = 17 total marbles, so P(A), the probability of drawing a green marble, is 5/17.
Now, A, B, and C all represent the event of drawing a green marble, but the way they depend on one another is important here. If we want B to be our second draw, it'll depend on what happens in our first draw, A. We call this kind of probability conditional, and we write it as P(B | A), the conditional probability of event B after event A's occurred.
Here, event A is "drawing a green marble." What happens during event A? Well, we draw a green marble, so we have one fewer green marble, and one fewer marble altogether. Our chance of drawing a green marble after event A, P(B | A), is 4/16 or 1/4 then, since we now have 4 green marbles and 16 total marbles.
Using that same reasoning, P(C | B), the probability of event C (drawing a green marble) after event B has occurred, is 3/15, or 1/5, since we'll have 3 green marbles out of 15 total after drawing our second during event B.
Multiplying these all together, we have
What is the value of the expression shown below?
7 + (2 + 6) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4
Answer:
7 1/4
Step-by-step explanation:
7+16/4*(1/2)*4
7+16/4*(1/16)
7+4*1/16
7+1/4=7 1/4
I think this is correct
These two cylinders are congruent. cylinder a has a radius of 4 centimeters. cylinder b has a volume of 176π cubic centimeters. what is the height of cylinder b? h = cm
Answer:
Your answer is 11CM
Step-by-step explanation:
The height of cylinder b is 11 cm.
How to measure the volume of a cylinder?The volume of the cylinder is related to the capacity of this geometric figure. Remember that the cylinder or circular cylinder is an elongated and rounded geometric solid.
The formula for the volume of a cylinder is given by:
[tex]V = \pi.r^2.h[/tex]
Where:
V: volumeπ (Pi): 3r: radiush: heightIn this case, as the cylinders are congruent, both will have the same radius, thus:
[tex]V = \pi.r^2.h\\176\pi=\pi(4)^2(h)\\h=11[/tex]
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Which expression is equivalent to the area of square A, in square inches?
Answer:
the required expression equivalent to the area of the square A in inches is (10² + 24²).
Step-by-step explanation:
Solve -a/3=18 show work
Step-by-step explanation:
[tex] - \frac{a}{3} = 18 \\ [/tex]
[tex] - a = 18 \times 3 = 54[/tex]
Now change the sign of both side of the equation...
[tex]a = - 54[/tex]
In a pet store, the small fishbowl holds up to 2 2/5 gallons
of water. the large fishbowl holds up to 2 1/3 times as
much water as the small fishbowl.
eloise draws this model to represent the number of
gallons of water the large fishbowl will hold.
how many gallons of water does the large fishbowl
hold?
enter your answer as a mixed number in simplest form
by filling in the boxes.
The large fishbowl hold 5.6 gallons of water. The volume of the large. fishbowl is denoted by y in the given problem.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The volume of the small fishbowl is x
The volume of the large fishbowl is y
From the problem, the large fishbowl holds up to [tex]\rm 2\frac{1}{3}[/tex] times as much water as the small fishbowl.
[tex]\rm y = 2\frac{1}{3} x\\\\\ x= 2\frac{2}{5} =2.4\\\\ y= 2.333\times 2.4 \\\\\ y=5.6 \ gallon[/tex]
Hence, the large fishbowl hold 5.6 gallons of water.
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Scott rolled a number cube several times and counted how many times he rolled a 3.
If Scott rolls the number cube 300 times, how many times should he predict to roll a 3?
Answer:
if it is a 6 sided cube, then 50
Step-by-step explanation:
300/6=50
solve the inequality 9.5+6x>=42.1
Answer:
x >/= 8.6
Add 9.5 to 42.1 then divide by 6
Step-by-step explanation:
Vectors u, v, and w are shown in the graph. What are the magnitude and direction of u + v + w?
Magnitude and direction of u + v + w is equals to 57.871 and 19°.
What is vectors?"Vectors are those quantity of which represents both direction as well magnitude."
According to the question,
As shown in diagram we have,
u + v + w
= (wcos30°)[tex]\^{i}[/tex] + (wsin30°)[tex]\^{j}[/tex] +(vcos20°)[tex]\^{j}[/tex] - (vsin40°)[tex]\^{i}[/tex] -(ucos40°)[tex]\^{i}[/tex] -(usin40°)[tex]\^{j}[/tex]
= ( wcos30° - vsin40° - ucos40°)[tex]\^{i}[/tex] + (wsin30°+ vcos20° - usin40°)[tex]\^{j}[/tex]
Substitute the value of ║w║ = 40 ,║v║=60,and ║u║= 90 we get,
u + v +w
= ( 40cos30° - 60sin40° - 90cos40°)[tex]\^{i}[/tex] + (40sin30°+ 60cos20° - 90sin40°)[tex]\^{j}[/tex]
= (20√3 - 20.5212 - 68.9440)[tex]\^{i}[/tex] + ( 20 +56.3816 - 57.8509)[tex]\^{j}[/tex]
= ( -54.8242)[tex]\^{i}[/tex] + (18.5307)[tex]\^{j}[/tex]
Therefore,
Magnitude = √(-54.8242)² +(18.5307)²
=√3349.0798
= 57.8712
tanθ = ( 0.3380)
⇒θ = tan⁻¹ (0.3380)
= 18.67
≈ 19°
Hence, magnitude and direction of u + v + w is equals to 57.871 and 19°.
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can you guys help me with this
why this thing says im rude
Determine the period of the following graph.
Answer:
4π/2
Step-by-step explanation:
Any one full pattern in the graph is called a cycle, and the length of an interval over which a cycle occurs is called the period.
so the distance between the top of the first 2 waves is 4π/2 so thats the peroid
Which function has a domain of all real numbers?
Answer:
D
Step-by-step explanation:
[tex]( {2 x})^{ \frac{1}{3} } - 7 = \sqrt[3]{2x} - 7[/tex]
Jillian and Dawn are playing a game of miniature golf. In this game, the score on a hole is the number of putts it takes to get the ball into the hole. The winner is the player with the lowest score. After playing 18 holes, Jillian’s mean is 2.4 and Dawn’s mean is 3.3. Which explains who won the game?
Jillian won the game because her score varied less than Dawn’s score.
Jillian won the game because the person with the lower mean took fewer putts on average for each hole.
Dawn won the game because the person with the greater mean played better.
Dawn won the game because her mean absolute deviation was less than Jillian’s.
Answer:
Step-by-step explanation:
Discussion
This should be answered with the mean. The lower the mean, the lower the score it took to get the mean. So B is the answer.
IT IS B OK LETS GO YES
Let U = {1,2,3,4,5,6,7,8,9,10}
Let A = {2,4,6,8,10}
Let B = {1,3,4,6,9}
Determine (A - B)'
Answer:
A-B = {2,8,10]
this is the correct answer
i hope my answer was helpful to you
if f(x)= x²+x(2a+2b)+4ab-x. f'(x)=....
DON'T COPY PASTE!!! please use the methods and steps
[tex]f(x) = x^2 +x (2a+2b) +4ab-x\\\\f'(x) = 2x+x \cdot 0 + 2a+2b + 0 -1\\\\~~~~~~~~=2x+0+2a+2b-1\\\\~~~~~~~~=2x+2a+2b-1[/tex]
From the definition of the derivative,
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{f(x+h) - f(x)}h[/tex]
We have
[tex]f(x) = x^2 + x(2a+2b) + 4ab - x = x^2 + (2a+2b-1)x + 4ab[/tex]
and so
[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{\left((x+h)^2 + (2a+2b-1)(x+h) + 4ab\right) - \left(x^2 + (2a+2b-1)x + 4ab\right)}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{x^2 + 2xh + h^2 + (2a+2b-1)x + (2a+2b-1)h + 4ab - x^2 - (2a+2b-1)x - 4ab}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{2xh + h^2 + (2a+2b-1)h}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0} (2x + h + 2a+2b-1)[/tex]
[tex]\displaystyle f'(x) = \boxed{2x + 2a + 2b - 1}[/tex]
the diameter of circle x is 15 cenimeters. thediameter of circle y is 20 centimenters which measurement is closest to the diffrence between the circumference of circle x and the circumference of circle y in centimenters.
Answer:
15.7cm
Step-by-step explanation:
the circumference of x=L1=2π =15cm
L2=2π =20cm
L2-L1
=20π-15π
=5π
=5×3.14
=15.70cm
A child grew 3 1/4 inches one year and 4 3/4 inches the next year. How many inches did the child grow over the two years?
Answer:
For the child 8 in.,
for the image(B) 9 1/4in
Step-by-step explanation:
Answer:
B. 9 1/4
Step-by-step explanation:
Covert 1/2 into 4ths.
3 2/4 + 5 3/4= 7 5/4 = 9 1/4
Hope this helps
please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
Two equations are given below:
x - 3y = 9
x = y - 3
Use the substitution method to find the solution of the system in the form (x, y)?
(-9,-6)
(-4,-3)
(-6,-3)
(-9,-7)
Answer:
The answer is option A
Step-by-step explanation:
The solution is in the image
If the cost of labor in the united states is five times greater than the cost of labor in
asia, how much would it cost to produce a pair of nike athletic shoes in the united
states? assuming that all other costs remain the same and the shoes would still sell for
$65 a pair, what would be the percentage difference in profit realized
Therefore the percentage difference in profit realized will be 66.67 % .
What is Profit ?Profit, is net income earned after subtracting all dollar costs from total revenue.
In effect, it shows the amount of money a firm has left over after deducting the explicit costs of running the business.
Suppose all the charges for making the shoes is x (other than the labour charge)
Labor charge in Asia is y
And as given in the question Labor Charge in United States is 5y
The final cost off the shoes is $65
Profit in asia = (65-x-y)
Profit in United States = (65-x-5y)
Let's use trial and error method to understand this
suppose the making cost is x = $10 and the labor charge in asia is $5 per shoes so
Profit in Asia = 65-10-5 = $50
Profit in United Stated = 65- 10-25 = $30
the percentage difference in profit realized
= (50-30) * 100 /30
= 2000/30 = 200/3 = 66.67%
Therefore the percentage difference in profit realized will be 66.67 % .
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pleas send help this is due today
Answer:
y = -3x
Step-by-step explanation:
Equation of the line going through the origin: y = mx
Substitute any point in the above equation.
Here, Chosen point( 1 ,-3)
-3 = m*1
m = -3
Equation of the line: y = -3x
What is the Area of the circle in pi units if the diameter is 6 cm?
Answer:
9π cm
Step-by-step explanation:
Given diameter of circle (d) = 6cm
radius (r) = d/2 = 6/2 = 3cm
Area of circle = πr²
= π × 3²
= π × 9
= 9π
The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
What is the area of the circle?
The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,
[tex]A=\pi\dfrac{d^2}{4}[/tex]
Here (d) is the diameter of the circle. The diameter of the circle is 6 cm.
[tex]d=6[/tex]
Put this value in the above formula to find the area of the circle as,
[tex]A=\pi\dfrac{6^2}{4}\\A=\pi\dfrac{36}{4}\\A=\pi\times9\\A=9\pi\rm\; cm[/tex]
Thus, the area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
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Which equation represents the graph
shown below?
y
650
600
550
500
450
400
350
300
w
250
200
150
100
50
X
-2
2
4
6
8
10
12
14
16
18
-50
-100
Answer:
y300
Step-by-step explanation:
line graph start at y300
I need help with this geometry problem.
Answer:
m<1 = 48 m<2=12.6 m<3= 48
Step-by-step explanation:
96 ÷ 2 =48
38÷3= 12.6
48
What is the distance between point B and point C? Point C is 8.6 units.
A) 5 units
B) 2.1 units
C) 8.6 units
D) 4.1 units
Answer:
4.1 units
Step-by-step explanation:
A( -2,3)
B( 2,5)
C( 8.6)
hi I'm having some trouble
Answer:
4-4
Step-by-step explanation:
Substitute the actual values of the points into the distance formula.
Find the volume of the pyramid. Round to the nearest hundredth. The base has 5 sides The base is 110mm squared each side is 8 mm. Also the height is 11mm. Pleaseeeeeeeeeee try and do this.
The volume of the pyramid is the amount of space in it, and the volume of the pyramid is 403.33 mm³
How to determine the volume of the pyramid?The given parameters are:
Base area = 110 mm²Base length = 8 mmHeight = 11 mmThe volume of a pyramid is:
Volume = 1/3 * Base area * Height
So, we have:
Volume = 1/3 * 110 * 11
Evaluate
Volume = 403.33
Hence, the volume of the pyramid is 403.33 mm³
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Please help me :) .......
The final expression 2|x+3| shows a vertical compression by 2 units and a horizontal translation to the left by 3units
Transformation techniquesTransformation is a means of changing the size and shape of an object in a xy-plane.
For the given function, its parent function is f(x) = |x|
The expression f(x) = 2|x| shows that the function is vertically stretched by 2 units.
The final expression 2|x+3| shows a vertical compression by 2 units and a horizontal translation to the left by 3units
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A new TV costs $675 and the finance rate is 9.5%. If a down payment of $75 is made
and the TV is financed for one year, what is the monthly payment?
Answer:
The monthly payment will be $54.75
Step-by-step explanation:
Hope this helps!
please help me!! what would x be?? solve for X
Answer:
x = 14
Step-by-step explanation:
The different types of angle relationships:
Supplementary Angles : Supplementary angles are two angles that form a line, the sum of the two angles is 180 degreesComplementary Angles : Complementary angles are two angles that form a right angle , the sum of the two angles is 90 degreesVertical Angles : Vertical angles are angles opposite of each other formed on intersecting lines, the two angles are congruent ( equal to each other )Based off of these three angle relationships we can identify the two angles as supplementary angles as the two angles shown form a line therefore we know the sum of those two angles is 180 degrees. Knowing this we can create an equation.
Creating an equation:
We know that the two angles are supplementary angles and we also know that supplementary angles add up to 180 degrees. So the sum of the two expressions represented by the two given angles must equal 180.
In other words 9x - 14 + 5x - 2 = 180
Solving for x
Know that we have created an equation we can solve for x algebraically.
9x - 14 + 5x - 2 = 180
==> combine like terms
14x - 16 = 180
==> add 16 to both sides
14x = 196
==> divide both sides by 14
x = 14
And we are done!
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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's solve for x } [/tex]~
[tex] \textsf{As we can see, the sum of measures of the} [/tex][tex] \textsf{ marked two Angles is equal to 180° } [/tex]
[tex] \texttt{[ by linear pair property ]} [/tex]
[tex]\qquad \sf \dashrightarrow \:9x - 14 + 5x - 2 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:9x + 5x - 14 - 2 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:14x - 16 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:14x = 180 + 16[/tex]
[tex]\qquad \sf \dashrightarrow \:14x = 196[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 196 \div 14[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 14[/tex]
[tex] \texttt{Therefore, the value of x is 14} [/tex]
I Hope you understood the whole procedure ~