Answer:
Alice: 2184
Maggie:1794
Luna:798 this one is weird cause it has a decimal but u cant have a fraction of a bead so i left it out
Zeinab:1333 same with this one
Step-by-step explanation:
a toll booth has 12 cars waiting to go through. in how many different ways can the first five cars go through, if the order in which the pass distinguishes one set of five from another?
There are 95,040 different ways for the first five cars to go through the toll booth.
The first car can be chosen in 12 ways. After the first car has been chosen, the second car can be chosen in 11 ways. This process continues, so the third car can be chosen in 10 ways, the fourth car can be chosen in 9 ways, and the fifth car can be chosen in 8 ways.
So the total number of ways to choose the first five cars is as follows:
12 x 11 x 10 x 9 x 8 = 95,040
Therefore, there are 95,040 different ways for the first five cars to go through the toll booth.
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The art club has 12 members who are sixth graders 18 members who are seventh graders and 10 members who are eighth-graders. What percent of the art club members are seventh graders?
--------------------------------------------------------------------------------------------------------------------------------
18%
25%
30%
45%
Answer:
18
Step-by-step explanation:
In a park of dimensions 20 m × 15 m, there is a L shaped 1m wide
flower bed as shown in Fig. 9.61. Find the total cost of manuring for
the flower bed at the rate of Rs 45 per m2
.
Fig. 9.61
117. Dimensions of a painting are 60 cm × 38 cm. Find the area of the
wooden frame of width 6 cm around the painting as shown in Fig.
9.62.
how to factor x ^3+7x ^2−5x−35 completely?
- a gambler offers you to pay even odds if you get 9, 10 or 11 heads in 20 tosses. should you take the bet?
Describe a transformation that maps triangle abc onto triangle ade.Explain why this transformation makes triangle ade similar to triangle abc
Given:
Triangle ABC is mapped onto triangle ADE.
Required:
The transformation that maps triangle ADE similar to triangle ABC.
Explanation:
A dilation process from A by a factor 3 maps triangle ABC onto triangle ADE.
In the dilation process, the transformed angle value remains constant.
\(\angle A\text{ is reflecxive}\)Also,
\(\angle ABC\text{ }\cong\text{ ADE}\)Therefore above transformation makes triangle ABC similar to triangle ADE.
Answer:
Thus from the explanation given above, the above transformation makes triangle ABC similar to triangle ADE.
can someone pls help
Answer:
Step-by-step explanation:
It's not that clear on my screen
Evaluate and simplify without a calculator:
−35+23
Pleasee helpp
Answer:
The answer would be -12, I'm not to sure what simplify means
If a triangle is
rotated 135 degrees
counterclockwise, is
that positive or
negative rotation?
During a thunderstorm, Naazneen used a wind speed gauge to measure the wind gusts. The wind gusts, in miles per hour, were 17, 22, 8, 13, 19, 36, and 14. Identify any outliers in the data set.
Multiple choice question.
A) 8
B) 13.5
C) 36
D) none
None of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set. Therefore, the correct answer is D) none.
To identify any outliers in the data set, we can use a common method called the 1.5 interquartile range (IQR) rule.
The IQR is a measure of statistical dispersion and represents the range between the first quartile (Q1) and the third quartile (Q3) of a dataset. According to the 1.5 IQR rule, any value below Q1 - 1.5 × IQR or above Q3 + 1.5 × IQR can be considered an outlier.
To determine if there are any outliers in the given data set of wind gusts (17, 22, 8, 13, 19, 36, and 14), let's follow these steps:
Sort the data set in ascending order: 8, 13, 14, 17, 19, 22, 36.
Calculate the first quartile (Q1) and the third quartile (Q3).
Q1: The median of the lower half of the data set (8, 13, 14) is 13.
Q3: The median of the upper half of the data set (19, 22, 36) is 22.
Calculate the interquartile range (IQR).
IQR = Q3 - Q1 = 22 - 13 = 9.
Step 4: Identify any outliers using the 1.5 IQR rule.
Values below Q1 - 1.5 × IQR = 13 - 1.5 × 9 = 13 - 13.5 = -0.5.
Values above Q3 + 1.5 × IQR = 22 + 1.5 × 9 = 22 + 13.5 = 35.5.
Since none of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set.
Therefore, the correct answer is D) none.
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label the given sides opposite adjacent or hypotenusewrite a ratio(fraction)aolve for x
-Write a ratio
tan 0 = opposite side / adjacent side
Substitution
tan 40 = 18 / x
Solve for x
x = 18 / tan 40
x = 18 / 0.839
Result
x = 21.45
what is a simpler form for the equation ^4√2401x^12y^16
Simplified form of fourth root of 2401x¹²y¹⁶ is 7x³y⁴
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Given,
⁴√2401 x¹² y¹⁶=⁴√7*7*7*7 (x³)⁴(y⁴)⁴
=⁴√(7)⁴ (x³)⁴(y⁴)⁴
=⁴√(7 x³y⁴)⁴
= 7 x³y⁴
Therefore, Simplified form fourth root of 2401x¹²y¹⁶ is 7x³y⁴.
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1/11 as a decimal rounded to three decimal places
In order to determine 1/11 as a decimal you need to divide 1 by 11. This would equal 0.0909090909090909. Rounding this number to three decimal places would equal 0.091.
what is \( {i}^{84} \)I need extra help with imaginary numbers
The given expression is
\(i^{84}\)Remember that i = -1, so.
\((-1)^{84}\)We know by definition that all powers with even exponents give a positive number. So,
\((-1)^{84}=1\)Therefore,\(i^{84}=1\)a hemisphere has a volume of 381.7 inches .what is the radius of the hemisphere
Answer:cube root 381.7
Then half it too find the radius.
Step-by-step explanation:
How do you know if a curve is positive or negative?
Positive curve graphs will be upward-sloping.
Negative curve graphs will be downward-sloping.
Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.
In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.
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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.
Which system of equations has exactly one solution? 2x y = 7 2x y = –3 5x – 4y = 8 3x 2y = 8 15x 9y = 36 10x 6y = 36 8x – 12y = 48 6x – 9y = 36.
The system of the equation that has only one solution is \rm 5x-4y=8 and 3x+2y=8.
We have to determine;
Which system of equations has exactly one solution?
According to the question
A system of linear equations can have one solution if there is a single point that makes every equation in the system true. This means that there is one point that can satisfy all of the equations at the same time.
The system of equations has exactly one solution is;
\(\rm 5x-4y=8\\\\ 3x+2y=8\)
From equation 1
\(\rm 5x-4y=8\\\\ 5x = 8+4y \\\\x = \dfrac{8+4y}{5}\)
Substitute the value of x in equation 2
\(\rm3x+2y=8\\\\3(\dfrac{8+4y}{5})+2y=8\\\\\dfrac{24+12y}{5}+2y=8\\\\24+12y+10y=8\times5\\\\24 + 22y = 40\\\\22y = 40-24\\\\22y = 16\\\\y = \dfrac{16}{22}\\\\y = \dfrac{8}{11}\\\\\)
Substitute the value of b in equation 1,
\(\rm 3x+2y=8\\\\3x + 2\dfrac{8}{11}=8\\\\3x = 8 - \dfrac{16}{11}\\\\3x = \dfrac{88-6}{11}\\\\x = \dfrac{82}{33}\)
Hence, the system of equation that has only one solution is \rm 5x-4y=8 and 3x+2y=8.
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A parabola-shaped hill can be modeled by equation
y=-2(x - 3)2 +6, where x and y are measured in
kilometers.
How wide is the bottom of the hill? Assume the r -axis is
ground level. Round to the nearest tenths.
kilometers
Answer:3.46 km
Step-by-step explanation:
Given
shape of hill \(y=-2(x-3)^2+6\)
at the bottom y=0 i.e.
\(0=-2(x-3)^2+6\\(x-3)^2=3\\x-3=\pm\sqrt{3}\\x=3\pm\sqrt{3}\)
width of the bottom
\(3+\sqrt{3}-[3-\sqrt{3}]=2\sqrt{3}\ km\ or\ 3.46\ km\)
PLS Help.............................
Answer:
Top to bottom
1
30
9
45
Step-by-step explanation:
every three minutes a bus is leaving the airport to drive to the city centre. a car leaves the airport at the same time as a bus und travels the same route as the bus to the city centre. every bus takes 60 minutes for the journey from the airport to the city centre, the car only 35 minutes. how many buses does the car overtake on its way to the city centre? the bus that starts at the same time as the car does not count.
The car οvertakes twο buses οn its way tο the city center with the given time and distance.
If the autοmοbile and the bus bοth mοved at the same pace, hοw wοuld the answer change?On its jοurney tο the city centre, the autοmοbile wοuld never pass any buses if it mοved at the same pace as the bus. This is due tο the fact that if bοth the autοmοbile and the bus are mοving at the same speed, their separatiοn will remain cοnstant. Hence, withοut passing any buses, the autοmοbile wοuld arrive in the city centre at the same time as the bus.
Let us suppοse the distance = p.
The distance travelled by the bus in 60 minutes is d/60.
The distance cοvered by the bus in 35 minutes is:
d/60(35)
Fοr the first bus:
It leaves 60 minutes befοre car, thus the distance travelled is:
(d/60) x 60.
If the car οvertakes thus bus by an additiοnal distance x, then the distance travelled by car is:
d = (d/60) x 35 + (d/60) x 60 + x
d = (5/12)d + x
x = 7/12 d
Fοr the secοnd bus:
The bus wοuld have left the airpοrt 120 minutes befοre the car:
(d/60) x 120
The distance cοvered by car with additiοnal distance y is:
d = (d/60) x 35 + (d/60) x 60 + (7/12)d + y
d = (5/6)d + y
y = 1/6d
The car οvertakes the bus thus,
(7/12)d + (1/6)d = d
d = 12/5
Therefοre, the car οvertakes twο buses οn its way tο the city centre.
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what is 30/100 simplified
Answer:
0.3 is the answer to your question
The fraction 30/100 simplifies to 3/10.
We have to simplify the fraction 30/100
we can reduce it by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The greatest common divisor of 30 and 100 is 10.
By dividing both 30 and 100 by 10, we get:
30/100
= (30 ÷ 10) / (100 ÷ 10)
= 3/10
Therefore, the fraction 30/100 simplifies to 3/10.
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Quadrilateral ABCD is a rectangle. BE=3x−7 and AC=8x−20. What is BE?
The length of the segment BE is 2 units.
What is the rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Given:
Quadrilateral ABCD is a rectangle.
BE=3x−7 and AC=8x−20.
E is the intersection point of the diagonals.
So,
AC/2 = BE
(8x−20)/2 = 3x−7
4x - 10 = 3x - 7
x = 3
So, BE = 2
Therefore, BE = 2 units.
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Calculate the area of the shaded segment of the circle 56° 15 cm
The area is 109.9 square centimeters.
How to find the area of the segment?For a segment of a circle of radius R, defined by an angle a, the area is:
A = (a/360°)*pi*R²
where pi= 3.14
Here we know that:
a = 56°
R = 15cm
Then the area is:
A = (56°/360°)*3.14*(15cm)²
A = 109.9 cm²
That is the area.
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Find the volume and surface area. Round to the nearest hundredth when necessary.
30 POINTS
what is the right answer
Answer:x≥−5
Step-by-step explanation:
Question Progress
Factorise 3x^2+ 5x = 12
Answer:
(3x-4)(x+3) = 0
x = -3, 4/3
Step-by-step explanation:
3x^2 + 5x = 12
3x^2 + 5x - 12 = 0
(3x-4)(x+3) = 0
x = -3, 4/3
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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Find the slope of a line that passes through the points (-2,6) and (8, 4)
In order to calculate the slope of a line that passes through the points (-2, 6) and (8, 4), we can use the formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where (x1, y1) and (x2, y2) are the points coordinates. So we have:
\(\begin{gathered} m=\frac{4-6}{8-(-2)} \\ m=\frac{-2}{8+2} \\ m=\frac{-2}{10} \\ m=-\frac{1}{5} \end{gathered}\)So the slope of the line is -1/5.
Whats 3x7/18
Answer Please
SOMEONE PLEASE HELP I WILL MARK BRAINLIEST
Answer:
Hi help in what?
Step-by-step explanation: