What is 1 1/2 x ? = 1
Answer:
.666667 or 2/3
Step-by-step explanation:
Convert 1 1/2 and 1 to improper fractions:
9/6 (1 1/2) and 6/6 (1)
Now use division to find the missing value
6/6 / 9/6 = 4/6
or
1 / 1.5 = .666667
Simplify 4/6:
2/3
Double check your answer:
1 1/2 x 2/3 = 1
This is correct. Thus, your answer is 2/3.
Hope this helps and please vote brainliest. Good Luck!
A family has five children. If the probability of birth of either sex is assumed equally likely, what is the probability that exactly four of the children are boys? Suppose that a die is made by marking the faces of a regular dodecahedron with the numbers 1 through 12. What is the probability that on exactly three of six tosses, a number less than 4 turns up? Assume that the probability that a married couple will get a divorce within the next 10 years is 1/5. Given eight randomly selected couples, find the probability that all eight will have the same partners after 10 years. An urn contains three red balls and two white balls. A ball is drawn, then replaced. Find the probability that a white ball will be drawn four times in a row.
1. The likelihood of having a boy or a young lady is 1/2 each. Accepting the births are autonomous, we are able to utilize the binomial dissemination to discover the likelihood of precisely four boys in five births:
P(4 boys in 5 births) = (5 choose 4) * \((1/2)^4\) * (1/2)
= 5/16
In this manner, the likelihood that precisely four of the five children are boys is 5/16.
2. The likelihood of getting a number less than 4 on a single hurl of the pass-on is 3/12 = 1/4.
Expecting the hurls to be free, able to utilize the binomial conveyance to discover the likelihood of precisely three numbers less than 4 in six hurls:
P(3 numbers less than 4 in 6 hurls) = (6 select 3) *\((1/4)^3\) * \((3/4)^3\)
= 540/4096
Hence, the likelihood that on precisely three of six hurls, a number less than 4 turns up is 540/4096.
3. The likelihood that some do not get a separate inside the other 10 for a long time is 4/5.
Accepting the results for each couple are autonomous, we will utilize the binomial dispersion to discover the likelihood that all eight couples will have the same accomplices after 10 years:
P(all eight couples have the same accomplices after 10 a long time) = (8 select 8) *\((4/5)^8\)* (1/5)
= \((4/5)^8\)
= 0.16777216 (adjusted to eight decimal places)
Hence, the likelihood that all eight haphazardly chosen couples will have the same accomplices after 10 a long time is roughly 0.16777216.
4. The likelihood of drawing a white ball from the urn is 2/5. Accepting the draws are autonomous and the ball is supplanted after each draw, the likelihood of drawing a white ball four times in a push is:
P(drawing a white ball four times in a push) = \((2/5)^4\)
= 16/625
Hence, the likelihood that a white ball will be drawn four times in a push is 16/625.
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2x2= 3x5= 8nsjddjdkdjd
Answer is 19
Step-by-step explanation:
Answer:
What??
Step-by-step explanation:
What is the answer to 4x+y=10
Answer:
y = -4x + 10
Step-by-step explanation:
I am going to assume you are trying to write the equation of a line.
4x + y = 10
4x - 4x + y = 10 - 4x
y = -4x + 10
I had $20.00 My Mom gave me $10.00. My Dad Gave me $50.00 My Aunt & Uncle gave me $100.00. I had another $5.00. How much did I have? I had $20.00 My Mom gave me $10.00. My Dad Gave me $50.00 My Aunt & Uncle gave me $100.00. I had another $5.00. How much did I have?
Answer:
you have $185 in total unless the aunt and uncle gave you 100 each, then your answer would be $285
Step-by-step explanation:
Answer:
0$
Step-by-step explanation:
simple
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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Write the standard form of the equation of theline passing through the point (-5, 3) andperpendicular to the line - 2x – 3y = -6.
The first step we need to follow is to find the slope of the perpendicular line to -2x-3y = -6.
Then, we have:
\(-2x-3y=-6\Rightarrow-3y=-6+2x\Rightarrow y=\frac{-6}{-3}+\frac{2}{-3}x\Rightarrow y=-\frac{2}{3}x+2\)Then, the equivalent equation for the line has a slope of m1 = - 2/3. The perpendicular line must have an inverse and reciprocal to this slope, that is m2 = 3/2. The product of these slopes must be -1, that is: m1 * m2 = -2/3 * 3/2 = -1.
The second step is to find the line equation for the perpendicular. We know that it has a slope of m = 3/2, and that passes through the point (-5, 3). Then, we can use the point-slope form of the line:
\(y-y_1=m(x-x_1)\)\(y-3=\frac{3}{2}(x-(-5))\Rightarrow y-3=\frac{3}{2}(x+5)\Rightarrow y-3=\frac{3}{2}x+\frac{15}{2}\)Then
\(y=\frac{3}{2}x+\frac{15}{2}+3\Rightarrow y=\frac{3}{2}x+\frac{21}{2}\)The Standard Form of the line is of the form:
\(Ax+By=C\)Then, taking the previous equation:
\(2y=3x+21\Rightarrow-3x+2y=21\)Therefore, the Standard Form of the equation is -3x + 2y = 21.
Answer:-3x + 2y = 21.
Step-by-step explanation:
The first step we need to follow is to find the slope of the perpendicular line to -2x-3y = -6.
Then, we have:
Then, the equivalent equation for the line has a slope of m1 = - 2/3. The perpendicular line must have an inverse and reciprocal to this slope, that is m2 = 3/2. The product of these slopes must be -1, that is: m1 * m2 = -2/3 * 3/2 = -1.
The second step is to find the line equation for the perpendicular. We know that it has a slope of m = 3/2, and that passes through the point (-5, 3). Then, we can use the point-slope form of the line:
Then
The Standard Form of the line is of the form:
Then, taking the previous equation:
Therefore, the Standard Form of the equation is -3x + 2y = 21.
The target weight of a bag of potatoes is 10 pounds. The weight of each bag can differ from this value by at
most 0.75 pounds. Write and solve an absolute-value inequality to find the range of acceptable weights. Graph
the solutions.
Answer:
t greater than or equal to 9.25
And
t less than or equal to 10.75
Step-by-step explanation:
Inequality shows a relationship between two numbers or two expressions.
The inequality of the range of acceptable weights is 0.1 ≤ x ≤ 9.25
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
Example:
2 > 1
3x > 6, x values will be greater than 3.
We have,
The targeted weight of the bag = 10 pounds
The weight of each bag differs from 10 pounds at most by 0.75 pounds.
The acceptable weight of the bag can be:
0.1 pound to 9.25 pounds.
i.e,
10 - 9.25 = 0.75
Let x = acceptable weights
The inequality of the range of acceptable weights is 0.1 ≤ x ≤ 9.25
Thus,
The inequality of the range of acceptable weights is 0.1 ≤ x ≤ 9.25
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Which number has the greatest value?
A 7.8 x 10-3
B 1.3 x 10-6
C 5.5 x 10-3
D 9.5 x 10-2
Answer:
D 9.5 x 10^-2
Step-by-step explanation:
D becuase it is only 10^-2, the other ones are 10^-3, which is less than 10^-2
how many ways to arrange 12 identical apples and five distinct oranges in a row so no two oranges are side by side?
There are 1287 different ways to arrange five different oranges and 12 different apples so that no two oranges are next to each other.
Explain the term combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the ordering of the selection is meaningless. You can choose the constituents of combos in any order. Permutations and combinations can be conflated.For the data given in the question-
There are 12 identical apples and five distinct oranges.
Arrange them such that no two oranges are side by side.
The separator method, which uses the apples as separators, was used to solve this puzzle.
_1_1_1_1_1_1_1_1_1_1_1_1_
Due to the fact that there are currently 13 empty spots,
Number of ways = ¹³C₅
¹³C₅ = 1287 ways.
Thus, there are 1287 different ways to arrange five different oranges and 12 different apples so that no two oranges are next to each other.
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Find the measure of each angle in the figure.
1. m<1
2. m<2
A construction crew is lengthening a road. The road started with a length of 58 miles, and the crew is adding 2 miles to the road each day.
Let L represent the total length of the road (in miles) and let D represent the number of days the crew has worked. Write an equation relating L to D. Then
use this equation to find the total length of the road after the crew has worked 32 days.
Answer: 1,856
Step-by-step explanation:
58 x 32 =Answer
Which capital letters in the word TRANSFORMATION produce the same letter after being rotated 180°?
The capital letters of the word TRANSFORMATION are rotated 180 degrees, they generate the same letter are I, N, O and S.
Define the term rotation?Geometry can be used to determine the meaning of rotation in mathematics. As a result, it is described as the movement of an object round the center or an axis.The point of rotation is the point where the object is rotated.An angle of rotation is the degree of rotation calculated in degrees.It is possible to rotate clockwise or counterclockwise. If an item needs to be rotated, there are several methods for doing so:
90 degrees counterclockwise90° counterclockwise180 degrees counterclockwiseanticlockwise 180 degreesWhen the capital letters of the word TRANSFORMATION are rotated 180 degrees, they generate the same letter: I, N, O and S.
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can someone please help me
Answer:
58
Step-by-step explanation:
rurjrjirudhdbbxhxiidiejr
suppose there are four people in a room, exactly one of whom is a foreign agent. the other three people have been given pairs corresponding to a shamir secret sharing scheme in which any two people can determine the secret. the foreign agent has randomly chosen a pair.
Three of them possess pairs corresponding to a Shamir secret sharing scheme, enabling any two people to determine the secret.
Can any two people determine the secret using the Shamir secret sharing scheme?In this scenario, there are four people in a room. Three of them possess pairs corresponding to a Shamir secret sharing scheme, enabling any two people to determine the secret.
The remaining person is a foreign agent who has chosen a pair randomly. Thus, if any two of the three people with the valid pairs collaborate, they can successfully uncover the secret, as per the properties of the Shamir secret sharing scheme.
The presence of the foreign agent does not affect the security of the scheme unless they collaborate with another person possessing a valid pair.
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What is the minimum recommended temperature for the cold temperature run (\#7)? 20 degrees below room temperature 15 degrees below room temperature 5 degrees below room temperature 10 degrees below room temperature
The minimum recommended temperature for the cold temperature run (\#7) is 15 degrees below room temperature.
The cold temperature run, marked as \#7, requires a specific temperature range to ensure optimal performance and safety. The minimum recommended temperature for this run is 15 degrees below room temperature.
Running at temperatures below room temperature allows for a more controlled environment that mimics colder conditions, which can be beneficial for various purposes such as testing equipment, evaluating performance, or assessing durability in colder climates. It helps identify potential issues or limitations that may arise in colder environments.
Setting the minimum recommended temperature at 15 degrees below room temperature provides a sufficient cold environment without excessively low temperatures that could pose risks or potential damage.
This temperature range strikes a balance between achieving the desired cold conditions for testing purposes while ensuring the safety and integrity of the equipment or system being evaluated.
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HELP ME PLEASEEEE
1.Consider the quadratic function f(x) = x2 - 8x - 4. What is the value of the leading coefficient?
A) -8
B)-4
C)0
D)1
Answer:
1
Step-by-step explanation:
f(x) = x^2 - 8x - 4
The leading coefficient is the constant in front of the highest power of x
In this case the value is 1
Question 1 Bicycles in the late 1800s looked very different than they do today. a. How many rotations does each tire make after traveling 600 feet? Round your answers to the nearest whole number.
The number of revolutions small wheel took is 127 and the number of revolutions large wheel took is 19.
Given that, the distance travelled 600 feet.
We know that, 1 feet = 12 inches
From the given figure,
Radius of larger wheel of bicycle is 60 inches
60 inches = 60/12 = 5 feet
Radius of larger wheel of bicycle is 9 inches
9 inches = 9/12 = 0.75 feet
We know that, circumference of a circle is 2πr.
Circumference of small wheel = 2×3.14×0.75
= 4.71 feet
Number of revolution = 600/4.71
= 127.38
≈ 127
Circumference of large wheel = 2×3.14×5
= 31.4 feet
Number of revolution = 600/31.4
= 19.1
≈ 19
Therefore, the number of revolutions small wheel took is 127 and the number of revolutions large wheel took is 19.
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A box contains ten cards labeled Q, R,S ,T ,U ,V ,W , X, Y, and Z . One card will be randomly chosen.
What is the probability of choosing a letter from Q toT ?
Write your answer as a fraction in simplest form.
Please help my day is going so bad ive litterally cried 5 times already and im so streesed with online school and having so much homework its just so difficult please help IM SO STRESSED :(
Answer:
10 cards. q to t is 4 of them- so 4 out of 10. 4/10. simplified 2/5
Keiko is getting balloons for her grandfather's birthday party. She wants each balloon string to be 12 feet long. At the party store, string is sold by the yard. If Keiko wants to get 46 balloons, how many yards of string will she need? 1 foot = 1 3 yard
Answer: 184 yards
Step-by-step explanation:
Since she wants each balloon string to be 12 feet long and she wants to get 46 balloons, the total length of strings would be:
= 46 × 12 feet
= 552 feet
Since 1 yard = 3 feet. 552 feet would be converted to yard which would be:
= 552/3
= 184 yards
Exercise 1: Which of the following is not an equation
(1) 2x + 3 = 10
(2) 3+2 = 5
(3) 3(2x + 1)
(4) 1+ 4 = 10
Answer:
(3) 3(2x +1 )
Step-by-step explanation:
For (1), (2), and (4), all of them give an answer while (3) does not which means that (3) is not an equation.
Find all the missing elements:
B
a
40°
C400
120°
A
C
8
C = [?]° a= [] c = [ ]
The missing elements are:
C = 40° (angle opposite side c)
a = 2.31 (length of side opposite angle A)
c = 5.63 (length of side opposite angle C)
To find the missing elements, we can use the properties of triangles and trigonometry. Here's how:
1. Identify the type of triangle: From the given information, we can see that we have a triangle with two known angles: 40° and 120°. Since the sum of angles in a triangle is always 180°, we can find the third angle by subtracting the sum of the other two angles from 180°.
A = 180° - 40° - 120° = 20°
Therefore, we have a triangle with angles of 40°, 20°, and 120°.
2. Use the Law of Sines: The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides. We can use this property to find the missing sides of the triangle.
a/sin(A) = b/sin(B) = c/sin(C)
We already know the angles A, B, and C, and we are given the length of side b (8). We can use this information to find the missing sides:
a/sin(20°) = 8/sin(120°) => a = 8*sin(20°)/sin(120°) ≈ 2.31
c/sin(40°) = 8/sin(120°) => c = 8*sin(40°)/sin(120°) ≈ 5.63
Therefore, the missing elements are:
C = 40° (angle opposite side c)
a = 2.31 (length of side opposite angle A)
c = 5.63 (length of side opposite angle C)
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Quadratic Equations: 3x^2+x-3=0
Round the nearest thousandths place.
Answer:
\(x_{1}\) = 0.847 or \(x_{2}\) = -1.180 (to the nearest thousandths place or 3 d.p.)
Step-by-step explanation:
Quadratic equation (I actually memorized this because it will not come in exams):
\(x= \frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(x= \frac{-b-\sqrt{b^{2}-4ac } }{2a}\)
Instead of 2 options of the formula you can use the sign ± after the minus b to make it one equation (but I cannot do that in this Brainly equation output function thing)
\(x = \frac{-1+\sqrt{1^{2}-4(3)(-3) } }{2(3)}\) or \(x = \frac{-1-\sqrt{1^{2}-4(3)(-3) } }{2(3)}\)
\(x = \frac{-1+\sqrt{1-12(-3) } }{2(3)}\) or \(x = \frac{-1-\sqrt{1-12(-3) } }{2(3)}\)
\(x = \frac{-1+\sqrt{1+36 } }{6}\) or \(x = \frac{-1-\sqrt{1+36 } }{6}\)
\(x = \frac{-1+\sqrt{37} }{6}\) or \(x = \frac{-1-\sqrt{37 } }{6}\)
\(x_{1}\) = 0.84712708838 or \(x_{2}\) = -1.18046042172
\(x_{1}\) = 0.847 or \(x_{2}\) = -1.180 (to the nearest thousandths place or 3 d.p.)
what is √49/144 expressed in simplest form
Answer:
49/144
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 49 and 144 is 1
Divide both the numerator and denominator by the GCD
49 ÷ 1
144 ÷ 1
Reduced fraction:
49
144
Therefore, 49/144 simplified to lowest terms is 49/144.
Answer:
7/12
Step-by-step explanation:
7 goes into 49 7x times
and
12 goes into 144 12x times
So if we simplify this, the answer would be
7/12HELP!!!! please im begging
Answer:
57 1/10
(14× 3/4)+(4× 1/2)+(8× 1/2)+(10× 2/5)+(10× 2/5)+(12× 4/5)= 571/10 or 57× 1/10
hii please help i’ll give brainliest:)
Answer:
They most of the time used the ability to row ships to get to places
Step-by-step explanation:
They were more reliable to row ships to trade with other people because the Mediterranean Sea was critical to how they were able to trade.
Explain or show why Priya's conclusion is incorrect.
pls answer the following question circled in red
this question is asking how to compare linear functions (algebra 1)
The required, as x continues to grow, the value of function f(x) will be greater than the values of g(x).
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
For the best comparison between the function we need to evaluate the slope of each function,
So,
slope of function f(x) = 40 - 10 / 2 - 1
slope of function f(x) = 30 / 1
Now,
slope of function g(x) = 12 - 6 / 2 - 1
slope of function g(x) = 6 / 1
So, the slope of function f(x) is greater than the slope of function g(x).
Thus, the required, as x continues to grow, the value of function f(x) will be greater than the values of g(x).
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Need Help ASAP I cant solve this I think the answer might be 14x-35 but im not sure and i have to solve by combining like terms
In the attached diagram the perimeter of the hall way is
17x - 34How to find the perimeter of the hallwayThe perimeter of the hall way is calculated by adding all the sides of the hallway
The perimeter of the hall way = 2x - 7 + x + 1 + 4x - 9 + x - 2 + x + 2 + 3x - 11 + x - 2 + 3x - 11 + x + 4
adding like terms results to
The perimeter of the hall way = 17x + (-34)
Finally, the simplified expression is:
17x - 34
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if p(a) = 0.62, p(b) = 0.47, and p(a è b) = 0.88, then p(a ç b) =
a. 0.2914
b. 1.9700
c. 0.6700
d. 0.2100
Answer: a
Step-by-step explanation:a
Find values of m so that the function y xm is a solution of the given differential equation. x^2y''-7xy' 15y=0
If \(y=x^m\) is a solution to the ODE
\(x^2 y'' - 7xy' + 15y = 0\)
then substituting \(y\) and its derivatives
\(y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}\)
gives
\(m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0\)
\(m(m-1)x^{m} - 7mx^{m} + 15x^m = 0\)
\((m(m-1) - 7m + 15)x^{m} = 0\)
We ignore the trivial case of \(y=x^m=0\). Solve for \(m\).
\(m(m-1) - 7m + 15 = 0\)
\(m^2 - 8m + 15 = 0\)
\((m - 3) (m - 5) = 0\)
\(\implies \boxed{m=3} \text{ or } \boxed{m=5}\)