Answer:
3600 ways
Step-by-step explanation:
person A has 7 places to choose from :
→ He has 2 places ,one to the extreme left of the line ,the other to the extreme right of the line
If he chose one of those two ,person B will have 5 choices and the other 5 persons will have 5! Choices.
⇒ number of arrangements = 2×5×5! = 1 200
→ But Person A also , can choose one of the 5 places in between the two extremes .
If he chose one of those 5 ,person B will have 4 choices and the other 5 persons wil have 5! Choices.
⇒ number of arrangements = 5×4×5! = 2 400
In Total they can be arranged in :
1200 + 2400 = 3600 ways
a bicycle wheel has a diameter of 65cm what is the length of 1000 revolutions of the wheel in metres
Answer: 2041 meters
A bicycle wheel is a circular object.
The circumference of a circle is 2π(radius)
Here given:
diameter: 65 cmradius = diameter/2 = 65/2 = 32.5 cmHence find the length for each revolution:
2π(32.5) = 204.1 cm per revolutionThen for 1000 revolutions:
204.1 × 1000 = 204100 cm ≈ 2041 meter3.1. Without counting. determine the number of seats in the theatre. Show your working out. on the balcony
Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.
What number of seats does the theatre have?The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.
The total number of seats in the theatre are:
= Number of seats on balcony / Proportion of seats this represents
Solving gives:
= 120 ÷ 1/5
= 120 ÷ 0.2
= 600 seats
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Work out, giving your answer in its simplest form: 3 3/4 × 2 4/5
Answer:
⇒ [tex]\frac{21}{2}[/tex]
or
⇒ [tex]10 \frac{1}{2}[/tex]
Step-by-step explanation:
3 3/4 = 15/4
2 4/5 = 14/5
⇒[tex](\frac{15}{4} *\frac{5}{5} )(\frac{14}{5} *\frac{4}{4} )[/tex]
⇒[tex]\frac{75}{20} *\frac{56}{20}[/tex]
⇒[tex]\frac{4200}{400}[/tex]
⇒ [tex]\frac{21}{2}[/tex]
or
⇒ [tex]10 \frac{1}{2}[/tex]
A jet travels 590 miles in 5 hours; how far can it travel in 11 hours. With an explanation.
Answer:
1298 mi
Step-by-step explanation:
In 5 hours, a jet would travel 5 times the distance that it would if it were to travel for one hour. This means that 590 is five times the distance of one hour. So, 590 divided by 5 is 118, so the jet travels 118 miles in one hour(this is basically the speed).
We can do the reverse to find how far it can travel in 11 hours given the jet travels 118 miles an hour. Using the same logic, the jet would travel 118 in each of the 11 hours, which is 118 x 11: 1298 mi.
how to solve for x:
Answer:
x = 2
Step-by-step explanation:
What is the value of x?
log 3x =4
A. 7 B. 27 C. 81 D. 12
Answer:
81
Step-by-step explanation:
for example log2 8=3 is the same as 2^3=8, so if you switch around the variables from your question, your able to do 3^4, which is 81
The scatter plot below represents the weight of a bunch of
bananas based on the number of bananas in the bunch. A
trend line shows the relationship.
About how many pounds does the trend line predict that a bunch with 9 bananas will weight?
A. 3.0
B 4.0
C 3.5
D 4.5
Answer: B 3.0
Step-by-step explanation:
[tex] \large\frak{ \purple{ Question}}[/tex]
In a certain class, one-third of the students were absent. Half of the total strength attended the Maths test and one-fourth of the total strength attended the Physics test. If 6 students attended both the tests and every student who was present attended at least one of the two tests, then how many students were absent on that day?
[tex] \rule{64mm}{3pt}[/tex]
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[tex] \bull\: \large \orange{\sf{ With \: explanation} }[/tex]
[tex] \rule{64mm}{4pt}[/tex]
[tex] \large \underline{ \underline{\frak{ Expecting \: answer \: from }}}[/tex]
[tex] \bull \: \small \pink{\rm{ Best \: users }}[/tex]
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[tex] \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull[/tex]
The number of students that were absent is; 24
How to find the Probability?
Let the total number of students be x .
The number of students which were absent = ¹/₃x.
Number of students which were present = ²/₃x
Thus;
Number of students who attended math's test = ¹/₂x
Number of students who attended physics test = ¹/₄x
No. of students who attended both tests = 6
A denotes number of students who attended math's test
B denotes number of students who attended physics test
Thus;
n(A) = ¹/₂x
n(B) = ¹/₄x
n(A ∩ B) = 6
n(A∪B) = number of students which were present
Thus;
n(A ∪ B) = n(A) + n(B) − n(A∩B)
²/₃x = ¹/₂x + ¹/₄x − 6
²/₃x = ³/₄x - 6
³/₄x - ²/₃x = 6
x = 72
Thus, number of students that were absent = ¹/₃ * 72
Number of students that were absent = 24
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Help! I need the explanation if the answer is 72!!!
∠72
Step-by-step explanation:
It is isosceles Triangle.Therefore Two sides will be equal
∠b = ∠c ------ ☆
Given in the question - Angle b is twice the angle a.=> ∠b = 2∠a
=> ∠a = ∠b/2 -------(1)
sum of two sides on isosceles Triangle is 180°=> ∠a + ∠b + ∠c = 180
Put value of ∠a from equation (1)
=> ∠b/2 + ∠b + ∠b =180
[ look equation marked - ☆ ]
with LCM=> 5∠b/2 = 180
=> 5∠b = 180 × 2
=> 5∠b = 360
=> ∠b = 360 / 5
=> 72
_______________Some properties of Triangle-
two sides are equal. two internal angles are equal. two angles are opposite to equal side are equal. sum of two angles 180°_______________a man is carrying load attached at the end of a stick load placed over his shoulder . show that the pressure at his shoulder is directly proportional to the distance between the shoulder and the load?
According to the above information, it can be stated that the pressure on the man's shoulders is directly proportional to the distance between the shoulder and the load, since the greater the distance he will feel the more weight due to instability.
What is a directly proportional relationship?A directly proportional relationship is a term that refers to the relationship between two variables in which if one of the variables increases, the other also increases.
How is the directly proportional relationship demonstrated in the situation presented?According to the information, it can be inferred that the man will feel more weight on his shoulders if the load is more distant because this causes greater instability on his shoulders, so he will have to make a greater effort to move the load.
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What is the output of this program?
numA = 2
numB = 3
if numA == 2 or numB == 2:
print("yes")
elif numA == 2 and numB == 3:
print("no")
Output:
PLEASE HELP ME PLEASE
5 divided by 4/9
i need the answer in a fraction form please.
Solve 24x ⋅ 321-x = 8x+2
Answer:
[tex]x=2/7695[/tex]
≡ Small number, yes, but the steps explain why x is equal to this.
Step-by-step explanation:
simplify
[tex]24x\cdot 321-x=8x+2\\\left(24\cdot 321\right)x-x=8x+2\\7703x=8x+2[/tex]
group
[tex]7703x=8x+2\\7703x-8x=8~x+2-8x\\7695x=8x+2-8x\\7695x=8x-8x+2\\7695x=2[/tex]
isolate
[tex]7695x=2\\\frac{7695x}{7695}=\frac{2}{7695}\\x=\frac{2}{7695}[/tex]
The fraction is in its simplest form, so that is the final answer.
The large rectangle shown here is 3cm by 5 cm. What is a direct way to determine the area of the rectangle in square centimeters that relies on the meaning of area?
Answer:
Place the squares on the rectangle.
Step-by-step explanation:
Hello!
The area of the 1cm by 1cm square is 1 square cm.
We can solve for the area by placing multiple of those squares in the larger rectangle.
If we place it, we get 15 placed squares, with a total area of 15 square cm. This relies on the meaning of area, as we are simply measuring the number of square cm taken up by the object.
We would place 3 rows of 5 squares, representing a height of 3 cm (side length of 3 squares), and a length of 5 cm (side length go 4 squares).
This also proves the area formula A = L * W, as we multiple the side lengths to find the number of square units.
Which of the following functions is graphed below?
Answer:
A.
Step-by-step explanation:
the correct answer is A. y=|x-2|+3.
For more details see the attachment.
El número equivalente de 25/50 por favor
Answer:
El número equivalente de 25/50 es 1/2
Step-by-step explanation:
What is the solution of the system of equations shown in the graph? On a coordinate plane, a line goes through (0, 4) and (2, 0) and another line goes through (0, negative 1) and (2, 0). The lines intersect at (2, 0). a. (0, 2) c. (0, 4) b. (2, 0) d. (0, -1)
Answer:
(2,0)
Step-by-step explanation:
The intersecting points of the two lines is the solution for the two equations.
(2,0) is the solution.
When shopping for a baby doll for her daughter, Ms. Martin found that the price of four baby dolls was less than $102. Which
of the following inequalities represents this information?
OA. 4+ b≤ $102
OB. 4x b< $102
OC. 4x b≤ $102
OD. 4+ b< $102
If you help me I will give 100 points
Answer:
b
Step-by-step explanation:
because it is 4 dolls and x is the amount of dollars 1 doll is and 4x dolls are less then 102, the only answer that makes sense is b
The answer is B. I will choose to explain by process of elimination. It is not A because it is not less than or equal to, it is just less than. Therefore, we can also eliminate C. It is not D because it is four dolls that cost the same so it is 4x instead of 4+x. I hope I helped!
Andrew's number is 4 less than Sophia's number. The
sum of their numbers is 46. Find the numbers
Which equation represents the rectangular form of theta = 5Pi/6
Answer:
D
Step-by-step explanation:
i just took a test with that question
HELP NEEDED ASAP
answer this question for me, image below
Answer: Heyaa! ~
Your Answer Is... 13
Step-by-step explanation:
385 divided by 28 = 13. 75Reduce the expression, if possible, by cancelling the common factors.Hopefully this helps you! ~
Select the correct answer.
Teams with varying numbers of players are playing a group card game. The time taken by each team to complete one game is given in the table.
What is the relationship between the two variables?
Number of Players on the Team Time Taken to Complete Game (in minutes)
32
2
26
3
20
14
5
8
OA positive linear association
OB. exponential relationship
OC. negative linear association
O D.
no relationship
Answer:
a negative linear association (C)
Re-Written Problem [Formatted]
Teams with varying numbers of players are playing a group card game. the time taken by each team to complete one game is given in the table. What is the relationship between the two variables?
Numbers of players on team are going to be 1, 2 , 3, 4, 5.
time taken to complete game (in minutes) 32, 26, 20, 14, 8
(Select the correct answer)
A. Positive linear association
B. Exponential relationship
C. Negative linear association
D. No relationship
----------------------------------------------------------------------------------
Step-by-step explanation:
Lower x values (numbers of players on team) are correlated with higher y values (time taken to complete game)
[note: I know which values are x and y because of a cause-and-effect relationship. x causes y. number of players causes a change in minutes {it wouldn't make sense for the number of time it took to cause the number of players} ]
So, if we were to graph this relationship, we would see a downward-slope / negative slope of a line, because greater x-values are associated with lower y-values.
So, you would see a negative line, showing a negative linear association.
If an emitter current is changed by 4 mA, the collector current changes by 3.5 mA. The value of beta will be :
change in emitter current, ∆l(E) = 4 mA
change in collector current,∆I(C) = 3.5 mA
To find -:value of B
Solution :-∆I(E) = ∆I(C) + ∆l(B), here ∆l(B) is the change in base current.
4 = 3.5 + ∆l(B)
∆I(B) = 0.5 mA
Now, B = ∆l (C) ÷ ∆l (B)B = 3.5 ÷ 0.5
B = 7.0
so, the value of A = 7.0x²-12x+36
A. (x-6)(x+6)
B. (x+9)(x-4)
C. (x+6)(x+6)
D. (x-6)(x-6)
SUBMIT
Answer:
x²-12x+36
x²-6x-6x+36
x(x-6)-6(x-6)
(x-6)(x-6)
=(x-6)²
The sum of the three interior angles of a triangle is 180°. Suppose one angle is 68° and the remaining two angles are the same measure. Reason numerically to find the measures of the remaining angles.
Answer:
56°Step-by-step explanation:
Let ∠A and ∠B and ∠C.
be the three interior angles of the triangle.
∠A + ∠B + ∠C = 180
If ∠A = 68 and ∠B = ∠C .
Then
∠B + ∠C = 180 - 68 = 112
Then
2∠B = 112
Then
∠B = 112 ÷ 2 = 56°
Please Answer fast
Find the value of x°.
Answer:
X=60°
Step-by-step explanation:
Because the sum of angle of all side of a triangle is 180°
and
if that goes on
the equation become
x°+75°+45°=180°
x°+120°=180°
x°=180°-120°
x°=60° hence prove
Which quadrilateral is not a parallelogram?
Rhombus
O Rectangle
Kite
Square
Answer:
Kite is not a parallelogram
Step-by-step explanation:
The sides aren't evenly lined up properly to be a parallelogram
ANSWER:
kite
STEP BY STEP EXPLANATION
A kite isnerally not a parallogram because it is a quadrilateral whose four sided can be grouped into two pairs of sideame length that arch other
Find the quartiles for these data values:
5,7,7,8,10,11,12,15,17
A. Q1=7, Q2=11, Q3=15
B. Q1=7, Q2=10, Q3=13.5
C. Q1=6, Q2=9, Q3=12
D. Q1=7.5, Q2=10.5, Q3=13.5
Q1 = 7, Q2 = 10, Q3 = 13.5
=============================================================
Explanation:
Start with {5,7,7,8,10,11,12,15,17}
Notice how this data set is already sorted for us from smallest to largest.
Cross off the first and last items to get {7,7,8,10,11,12,15}
Repeat the last step to get this smaller set {7,8,10,11,12}
Repeat again: {8,10,11}
Repeat one more time: {10}
The 10 is at the very center, so it is the median aka the value of Q2.
-------------
An alternative way to get the median is to follow these steps:
There are n = 9 numbers in the original set before we crossed off any items. The middle number is in slot 5 because n/2 = 9/2 = 4.5 rounds up to 5. The value in the fifth slot is 10, so 10 is the median.
There are 4 items below the median and 4 items above it, giving n = 4+1+4 = 9 items total.
-------------
Next, break the data set into two smaller groups
L = lower set = every value below the median
L = {5, 7, 7, 8}
U = upper set = every value above the median
U = {11, 12, 15, 17}
The median itself is in neither set L nor set U.
The median of set L is (7+7)/2 = 7, so this is the value of Q1
The median of set U is (12+15)/2 = 13.5 which is the value of Q3
-------------
Summary:
Q1 = 7
Q2 = 10 (aka the median of the original set)
Q3 = 13.5
Answer:
B. Q1=7, Q2=10, Q3=13.5
Step-by-step explanation:
First Solution:
The first quartile of the data set is 7.
The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.
5 7 7 8 10 11 12 15 17
So, the bottom half is
5 7 7 8
The median of these numbers is 7.
Second Solution:
The median of the data set is 10.
Quartile 2, also known as the median, is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.
Ordering the data from least to greatest, we get:
5 7 7 8 10 11 12 15 17
So, the median is 10 .
Third Solution:
The third quartile of the data set is 13.5.
The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.
5 7 7 8 10 11 12 15 17
So, the upper half is
11 12 15 17
The median of these numbers is 13.5.
A boat is heading towards a lighthouse,
whose beacon-light is 113 feet above the
water. The boat's crew measures the angle of
elevation to the beacon, 7°. What is the
ship's horizontal distance from the
lighthouse (and the shore)? Round your
answer to the nearest tenth of a foot if
necessary.
Answer: 920.3 ft
Step-by-step explanation:
[tex]\tan 7^{\circ}=\frac{113}{x} \\ \\ x(\tan 7^{\circ})=113 \\ \\ x=\frac{113}{\tan 7^{\circ}} \approx \boxed{920.3 \text{ ft}}[/tex]
Findthe domain of the function f(x) = √19-x
Answer:
(-∞,19)
Definition: The domain of a function is the set of input or argument values for which the function is real and defined
Answer:
(-∞, 19]
Step-by-step explanation:
The domain of this function is only true for all real values of f(x).
That means the lower limit of the function is -∞ as the values are positive, and the upper limit is 19, because that is the greatest value it can become before becoming negative.
The domain is : (-∞, 19]