The number of orderings of the colored houses is possible in 3 ways
There are 24 possible arrangements for the houses. The number of ways with the blue house next to the yellow house is [tex]$3! \cdot 2!=12$[/tex],
as we can consider the arrangements of B,Y, O, and R.
Thus there are [tex]$24-12$[/tex] arrangements with the blue and yellow houses non-adjacent.
Exactly half of these have the blue house before the yellow house by symmetry, and exactly half of those 6 arrangements have the orange house before the red house (also by symmetry), so our answer is
[tex]=$12 \cdot \frac{1}{2} \cdot \frac{1}{2}[/tex]
=3
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the probability distribution for the number of goals the lions soccer team makes per game is given below. number of goalsprobability 00.15 10.10 20.10 30.30 40.35 what is the probability that in a given game the lions will score less than 2 goals? a. 0.25 b. 0.35 c. 0.10
Answer:
0.35 because above all the probs were below 50 meaning that it was hard for them to even score one goal per game
Step-by-step explanation:
HELP I DONT KNOW HOW TO DO THIS
Answer:
Square root of 45
Step-by-step explanation:
Using pythagoras theorem:
6^2+3^2 = 36+9 = 45
which is [tex]\sqrt{45}[/tex]
Mick gives roping lessons at the Sundown Corral. A 3-hour lesson costs $120.00. The cost of a lesson is proportional to the duration, in hours, of the lesson. What is the constant of proportionality in terms of dollars per hour?
A.40
B.45
C.50
D. 35
The constant of proportionality in terms of dollars per hour is A 40.
What is a constant of proportionality?The constant of proportionality is used to illustrate the constant relationship between the variables.
In this case, a 3 hour lesson costs $120.00 and the cost of a lesson is proportional to the duration, in hours, of the lesson.
The constant will be the division of the values. This will be:
= $120 / 3
= $40
The correct option is A
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NAROL is a long range hyperbolic navigation system. Suppose two NAROL transmitters are located at the
coordinates (-200, 0) and (200, 0), where unit distance on the coordinate plane is measured in miles. A
receiver is located somewhere in the first quadrant. The receiver computes that the difference in the distances
from the receiver to these transmitters is 160 miles.
What is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the
hyperbola?
Answer:
NORAL follows a hyperbolic path.
Equation of hyperbola; x²/6400 + y²/33600 = 1
Given,
The coordinates where the two NAROL transmitters are located = (-200, 0) and (200, 0)
The distance from receiver to these transmitters = 160 miles
We have to find the standard form of the hyperbola that the receiver sits on ;
Here,
The transmitters behave as foci of the hyperbola.
The center of hyperbola; (h, k) = (0, 0)
The distance from center to focal point,
c = 200
Square both sides
c² = 40,000
The distance from the receiver to the transmitters is given as:
2a = 160
Divide both sides by 2
a = 80
Square both sides
a² = 6400
We have:
b² = c² - a²
This gives
b² = 40000 - 6400
b² = 33600
The equation of a hyperbola is:
(x - h)²/a² + (y - k)²/b² = 1
So, we have:
(x - 0)²/6400 + (y - 0)²/33600 = 1
Therefore,
The equation of the hyperbola is:
x²/6400 + y²/33600 = 1
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Charmaine worked 27 hours last month and earned $9 per hour. She spent $19 of her earnings since then. How much money does she have left?
Answer:
224
Step-by-step explanation:
(27x9) - 19
243 - 19 = 224
HELP MEEEE I DONT UNDERSTAND PLS EXPLAIN
Answer:
y = 3x
Step-by-step explanation:
12x = 4y is the same as
4y = 12x Now divide both sides by 4
y = 3x
Identifying a Quotient on a Number Line
ABC
←
-12-10-8
D
-2 0246 8 10 12
Which point on the number line represents the quotient
12+-2?
O Point A
O Point B
O Point C
O Point D
Answer: C
Step-by-step explanation:
12 %- 2 = -6
hope this helps :)
PLEASE HELP ME I NEED HELP ON MATH
Answer: THERE ARE NO RESTRIcTIONS
Step-by-step explanation: X cancels out every number
An object of mass 30 kg is in free fall in a vacuum where there is no air resistance. Determine
the acceleration of the object.
Answer:
a= g=9.81 m/s square
Mass given to us = 30 kg
Therefore we have to find the acceleration of the object,
As there is no air and mass is irrelevant in free fall, the acceleration the object experiences will be equal to the force of gravity. On our planet, the gravitational pull on an item falling there is approximately:
9.81 m/s square.
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A cars company sells require a down payment of $2000 and 48 monthly payments. The contract amount for any of the cars is at least $19,940. What is the amount of the monthly payment? (To the nearest whole dollar) as an inequality?
Answer:923.36
Step-by-step explanation:
select each equation that the number 10 the power of 2
All the equations that have 10² = 100 as a solution are given as follows:
4.08x = 4080.97x = 97How to verify if 10² = 100 is a solution to the equation?We have to solve the equations and verify if the solution is equals to 100.
All the equations have the following format:
ax = b
Isolating the variable x, the solutions are given as follows:
x = b/a.
The first equation is:
0.031x = 31
The solution is:
x = 31/0.031 = 1000 = 10³.
The second equation is:
0.501x = 501
The solution is:
x = 501/0.501 = 1000 = 10³.
The third equation is:
4.08x = 408.
The solution is:
x = 408/4.08 = 100 = 10². (one of the correct options).
The fourth equation is:
0.97x = 97.
The solution is:
x = 97/0.97 = 100 = 10². (one of the correct options).
The fifth equation is:
0.55x = 550.
The solution is:
x = 550/0.55 = 1000 = 10³.
Missing informationThe equations are:
0.031x = 31.0.501x = 5014.08x = 408.0.97x = 97.0.55x = 550.The problem asks for which of these equations 10² = 100 is a solution.
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ANSWER FOR BRAINLIST DUE TODAY!!
Answer:
c is correct.
Step-by-step explanation:
In c, the top equation stays the same.
Multiplying both sides of the bottom equation (3x - y = 4) by 2, we have
6x - 2y = 8.
Three eighths of the 48 roses were red. (a) How many roses were red? (b) How many roses were not red? (c) What fraction of the roses were not red?
Answer:
A. 18 roses were red.
B. 30 roses were not red.
C. 5/8 were not red.
Step-by-step explanation:
In order to do this question, we first need a calculator. Then, we take three eighths and divide them on the calculator to get:
3 divided by 8 = 0.375.
Then, on the calculator again, we take the 48 roses and find the percentage of the roses that were red, by multiplying it by 0.375:
0.375 x 48 = 18.
A. 18 roses were red.
Now, for the next question, how many roses were not red. We take the 48 roses and subtract it from the roses that were red, which were 18 roses:
48 - 18 = 30.
B. 30 roses were not red.
Now, to find the fraction of the roses that weren't red. We take the 30 roses that weren't red and divide it by the total amount of 48 roses:
30 divided by 48 = 0.625.
In order to make 0.625 into a fraction, we take the higher, but lowest 100th place we can make for 0.625:
625/1,000.
Now, we simplify it:
625 divided by 5 = 125
1,000 divided by 5 = 200
Now, we have 125/200.
Simplify more:
125 divided by 5 = 25
200 divided by 5 = 40
Once more:
25 divided by 5 = 5
40 divided by 5 = 8
Our final fraction is 5/8.
C. The fraction of the roses that were not red are 5/8.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Find the Volume (pls help me)
Answer:
Step-by-step explanation:
32
he shoe sizes of a group of middle school girls are shown.
5.5 6 7 8.5 6.5
6.5 8 7.5 8 5
If a shoe size of 6 is added to the data, how does the IQR change?
The IQR becomes a 1.5.
The IQR remains a 2.
The IQR remains a 2.5.
The IQR becomes a 3.
If a shoe size of 6 is added to the data, there wouldn't be any change in the IQR. Therefore, the correct answer option is: B. the IQR remains a 2.
What is an interquartile range?IQR is an abbreviation for interquartile range and it can be defined as a measure of the middle 50% of data values when they are ordered from lowest to highest.
Mathematically, interquartile range (IQR) is the difference between quartile 1 (Q₁) and quartile 3 (Q₃):
IQR = Q₃ - Q₁
Based on the given data set, the following interquartile ranges was calculated by using Microsoft Excel:
Q₃ = 8Q₁ = 6Now, the interquartile range (IQR) is given by:
IQR = Q₃ - Q₁
IQR = 8 - 2
IQR = 2
Adding a shoe size of 6 to the data set, the first and third and interquartile ranges remained the same, which implies that the interquartile range (IQR) would remain as two (2).
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Answer: The IQR stays the same therefor the option is "the IQR remains a 2."
Step-by-step explanation:
A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is?.
The probability that the sample mean will be between 181 and 185 is 0.3039.
Given,
The mean of a population, μ = 180
Standard deviation, σ = 36
Number of sample observations, n = 84
We have to find the probability that the sample mean will be between 181 and 185;
Lets convert 181 and 185 into z scores;
z = (x - μ) / (σ/√n)
x = 181z = (181 - 180) / (36/√84)
z = 1/3.93
z = 0.25
x = 185z = (185 - 180) / (36/√84)
z = 5 / 3.93
z = 1.27
Lets look z score table;
The area to the left of z = 0.25 is 0.5987
The area to the left of z = 1.27 is 0.8980
The probability that the z is between 0.25 and 1.27 would be 0.8980 – 0.5887 = 0.3039.
That is,
The probability that the sample mean will be between 181 and 185 is 0.3039.
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20
Write "less" or "greater" in the blank.
304 is than 340
Answer:less than
Step-by-step explanation:304 is a smaller number than 340
What is 17.01 x 0.12?
Answer: 0.8412
Step-by-step explanation:
What is the amount of error that you will accept in the upper tail of the confidence interval?.
The amount of error that you will accept in the upper tail of the confidence interval as follows
The amount of error that will accept in the upper tail is = 13.97
Amount of error = margin of error
Margin of error = [tex]Z\frac{\alpha }{2} \frac{s}{\sqrt{n} }[/tex]
93% = confidence interval =1- [tex]\alpha[/tex]
=1-.93
=0.07
Hence [tex]\frac{\alpha }{2}[/tex] =0.035
[tex]Z\frac{\alpha }{2} or t\frac{\alpha }{2} = 1.81[/tex]
This problem represents two tail test because a two-tailed test is a method in which the critical area of a distribution is two-sided and tests whether a sample is greater or less than a range of values.
And confidence interval are always two tailed.
So margin of error = [tex]1.81x\frac{1.99}{\sqrt{40} }[/tex]
= 0.57
Upper tail C.I = x + margin of error
=13.4+0.57
=13.97
Lower tail C.I = x - margin of error
= 13.4 - 0.57
=12.83
Hence the answer is, the amount of error that will accept in the upper tail is = 13.97.
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what is 2 1/2 feet in inches form.
Answer:
30 inches
Step-by-step explanation:
1 ft=12 inches
We multiply this fraction by 12
2 1/2x12
5/2x12/1
60/2
30 inches
Hopes this helps please mark brainliest
Emily made 8 field goals in 25 attempts. What decimal represents the number of field goals she made?.
The decimal form of the number of filed goals Emily made is 0.32
Total number of attempts Emily made = 25
Total number of field goals = 8
We need to represent the filed goals in decimal
What is decimal?
A decimal is a number that includes a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.
feild goals is 8 out of 25
so, it is 8/25
= 0.32
Therefore, the decimal form of the number of filed goals Emily made is 0.32
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One leg of a right triangle is 7 units long, and its hypotenuse is 14 units long. What is the length of the other leg? Round to the nearest whole number.
Answer: 12
is the rounded answer using the Pythagoras theorum.
:) hope it's right:)
Step-by-step explanation:
-4 2/3+2 1/2
in mixted number form
2b plus 4a minus a minus 2 plus 12b
The value of the expression 2b plus 4a minus a minus 2 plus 12b is 3a + 14b - 2.
Expression:
An expression is defined as the a combination of operators, constants and variables. And it may consist of one or more operands, and zero or more operators to produce a value.
Given,
Here we have the statement "2b plus 4a minus a minus 2 plus 12b".
Now, we have to find the simplified form of this statement.
In order to find the simplified form,
First we have to convert the statement into expression form, then we get
2b plus 4a minus a minus 2 plus 12b = 2b + 4a - a - 2 + 12b
Now, we have to combine the like terms, then we get,
=> (2b + 12b) + (4a - a) - 2
Perform the appropriate arithmetic operations, then we get the simplified form of the expression as,
=> 14b + 3a - 2
Now, we have to arrange them in order then we get,
=> 3a + 14b - 2
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WILL GIVE BRAINLIEST!!!
Why does the square root of 9 equal both 3 and -3?
Answer:
See below
Step-by-step explanation:
3 * 3 = 9 obviously
a negative number times a negative number equals a positive number
so -3 * -3 = + 9
Which choice is equivalent to the product below when x > 0?
LIX
81
OA.
-186
O B. BT
O c.
O D.
xlo
1/9 is Square root of expression .
What in mathematics is a square root?
The factor we can multiply by itself to obtain a given number is the number's square root. Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.A value known as the square root of a number is one that, when multiplied by itself, yields the original number. An alternative to squaring an integer is to find its square root.= √1/x² * √x²/81
= √x²/ x² * 81
= √1/81
= 1/9
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5 =7/2 (3x + 2)
what is x?
Answer:
x=11
Step-by-step explanation:
A fair coin can only land on heads or tails with equal probability.
What is the probability it lands on tails?
Answer: 50% ion know
Step-by-step explanation: its half and half sorry im st*pid
(Proportions LC)
On a family camping trip, 7 backpacks can fit in the trailer for every 4 people. If 8 people are going on the trip, how many backpacks can fit?
28 backpacks
19 backpacks
16 backpacks
14 backpacks
Answer:
14 backpacks
Step-by-step explanation:
people: 4 x 2 = 8
backpacks: 7 x 2 = 14
how long the chord of the circle 4x²+4y²-8x-8y+3=0 whose the end point where the curve y=1/x cut the circle?
The length of the chord is 6
What is a circle simple definition?Simply said, a circle is a rounded form without any edges or line segments. It has the geometric form
What is the General Equation of Circle?The circle's general equation is written as follows: x2 + y2 + 2gx + 2fy + c = 0. The center of the circle in this general form of the equation of a circle is (-g, -f), and its radius is given by r = g2+f2cg2+f2c.
What is C in the General Equation of Circle?The circle's general equation is written as follows: x2 + y2 + 2gx + 2fy + c = 0. The coordinates of the circle's center and radius are determined using this general form. The equation in this case represents a circle that does not pass through the origin because c is a constant term.
We possess
4x2+4y2−12x+32y=27…(1)
We shall have y=0 when the specified circle intersects the x-axis, therefore
4x2+4y2−12x+32y=27
=>4x2−12x=27
=>4x2−12x−27=0…(2)
The answers to (2) are:
x1=−3/2
x2=9/2
Thus, the supplied circle intersects the x-axis at the following points:
A(−3/2,0) and B(9/2,0)
The length of the chord we want is defined as the distance d between these sites. The well-known formula for calculating the distance between points A and B is used to calculate the distance d:
d=root((9/2−(−3/2))^2+(0−0)^2)
√=6^2
=6
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