Answer:
1/9
Step-by-step explanation:
Subtract them
5/9-4/9=1/9 Answer
I think my answer is right I just want a second opinion please answer ASAP!
Answer:
what should we do to the question
The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answer:
(4,4)
Step-by-step explanation:
The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.
x^2 - 6x + 12 = 2x - 4
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.
y = 2x - 4 = 2(4) - 4 = 4
Therefore, the solution of this system of equations is (4, 4).
Therefore, the correct answer is (4, 4).
A house has 12 rooms (10 bedroom and 2 living rooms). We want to paint 4 yellow, 5 red and 3 purple. We do not want the living rooms to be the same color. In how many ways this can be done?
Total number of ways to paint rooms is 19,740.
We can solve this problem using the combinatorics. First, we choose the color for the living rooms, which can be done in 3*2 = 6 ways (yellow, red, or purple). Then, we choose the colors for the remaining 10 rooms.
Case 1 : living room is yellow and red
Then remaining colors are 3 yellow, 4 red, 3 purple
number of ways to paint living room = 2
number of ways to pain bedroom = 10!/(3! 4! 3!)
So number of ways = 2 * 10!/(3! 4! 3!) = 8400
Case 2 : living room is yellow and purple
Then remaining colors are 3 yellow, 5 red, 2 purple
So number of ways = 2 * 10!/(3! 5! 2!) = 5040
Case 3 : living room is red and purple
Then remaining colors are 4 yellow, 4 red, 2 purple
So number of ways = 2 * 10!/(4! 4! 2!) = 6300
Total number of ways = 8400 + 5040 + 6300 = 19,740
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The perimeter of a rectangle is 66cm.
Its longest side has a length of 17cm.
State the length of the shortest side.
\({ \red{\boxed{ \tt{Step-by-step-explaination}}}}\)
Perimeter of a rectangle : \({ \purple{ \tt{2(l+b)}}}\)
length = \({ \red{ \tt{17cm}}}\)
breadth= \({ \red{ \tt{?}}}\)
now,
according to the rule.
perimeter = 2(l+b)
66 = 2(17+b)
66 = 34 + 2b
66 - 34 = 2b
32 = 2b
32/2 = b
16 cm = b
hence b = \({ \pink{ \sf{16cm}}}\)
need help! I'm giving 50 points
Answer:
a) 138.23cm
b) 43.98in
c) 125.66mi
d) 94.25yd
Step-by-step explanation:
below in picture:-
A and B are diameter, change it to radius by formula:-
r = d/2
I hope it helps.
The
between two points is called the length of a segment.
HELP PLS I NEED THE ANSWER RN!!!
Find the surface area to the nearest whole number.
hmmm we have a pyramid atop which is really just four triangles and down below we have four rectangles, let's add all up.
\(\stackrel{ \textit{\LARGE Areas} }{\stackrel{\textit{four triangles}}{4\left[\cfrac{1}{2}(\underset{b}{10})(\underset{h}{10}) \right]}~~ + ~~\stackrel{\textit{four rectangles}}{4(10)(11)}}\implies 200+440\implies \text{\LARGE 640}~m^2\)
The point P(4,4) is reflected over the line x=5. What are the coordinates of the resulting point, P'?
Answer: 64juu5
Step-by-step explanation:
your gay
When displaying quantitative data, what is an ogive used to plot? Multiple Choice Frequency or relative frequency of each class against the midpoint of the corresponding class Cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class Frequency or relative frequency of each class against the midpoint of the corresponding class and cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class None of the above
An ogive is used to plot cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class when displaying quantitative data. Option B.
An ogive is a graph that represents a cumulative distribution function (CDF) of a frequency distribution. It shows the cumulative relative frequency or cumulative frequency of each class plotted against the upper limit of the corresponding class. In other words, an ogive can be used to represent data through graphs by plotting the upper limit of each class interval on the x-axis and the cumulative frequency or cumulative relative frequency on the y-axis.
An ogive is used to display the distribution of quantitative data, such as weight, height, or time. It is also useful when analyzing data that is not easily represented by a histogram or a frequency polygon, and when we want to determine the percentile or median of a given set of data. Based on the information given above, option B: "Cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class" is the correct answer.
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helppp asap Given:
Prove: ΔKVM ~ ΔBVG
Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.
For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.
angle M and G are both 90° , this means they are equal.
angle KVM = BVG
therefore angle K = angle B
Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG
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You can compare two marginal distributions to see if the corresponding two variables are related.T or F
You cannot compare two marginal distributions to see if the corresponding two are related . So, the statement is false .
The answer to the stated question is false . No , you cannot compare two marginal distributions to see if the corresponding two variables are related.
The given question is related to probability and statistics.
Coming to probability distribution , it is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events.
The marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset. It gives the probabilities of various values of the variables in the subset without reference to the values of the other variables.
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The average height of students at UH from an SRS of 14 students gave a standard deviation of 2.5 feet. Construct a 95% confidence interval for the standard deviation of the height of students at UH. Assume normality for the data.
The 95% confidence interval for the standard deviation of the height of students at UH is given by; CI = (1.81, 4.03)
How to find the confidence interval for standard deviation?
The formula for the confidence interval for the standard deviation is given by the formula;
CI = √[(n - 1)s²/(χ²ₙ ₋ ₁, α/2)], √[(n - 1)s²/(χ²ₙ ₋ ₁, (1 - α)/2)]
We are given;
Sample size; n = 14
D F = n - 1 = 14 - 1 = 13
Standard Deviation; s = 2.5
Confidence Level; CL = 95% = 0.95
Significance level; α = 1 - 0.95 = 0.05
Thus, using Chi-square distribution table online we have;
χ²₁₃, ₀.₀₂₅ = 24.736
(χ²₁₃, ₀.₉₇₅) = 5.01
Now, the 95% confidence interval for the standard deviation of the height of students at UH is given by :-
CI = √[(13 * 2.5²/(24.736)], √[(13 * 2.5²/(5.01)]
CI = (1.81, 4.03)
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If -8-8y=6-2y, what is the value of y?
Answer:
-7/3
Step-by-step explanation:
The first step is to combine like numbers. Although there are several different ways to go about doing this, I started by adding 2y to both sides which left me with -8-6y=6. I then added 8 to both sides and got 6y=14. Now divide 6 on both sides to get "y" by itself which left me with y = -14/6. When you simplify the answer you get -7/3.
(X⁴)⁵ cuál es insicios
a)9
b)X²⁰
c)X
d)X⁹
let f : (0,1) → r be a bounded continuous function. show that the function g(x) := x(1−x)f(x) is uniformly continuous.
We have shown that |g(x) - g(y)| < 12ε whenever |x - y| < δ. Since ε was arbitrary, this shows that g(x) is uniformly continuous on (0, 1).
What is uniform continuity?A stronger version of continuity known as uniform continuity ensures that functions defined on metric spaces, such as the real numbers, only vary by a small amount when their inputs change by a small amount. Contrary to uniform continuity, continuity merely demands that the function act "locally" around each point. To clarify, this means that for any given point x, there exists a tiny neighbourhood around x such that the function behaves properly inside that neighbourhood.
For the function g(x) to be continuous we need to have any ε > 0, and δ > 0 such that if |x - y| < δ, then |g(x) - g(y)| < ε for all x, y in (0, 1).
Now, g(x) is bounded as the parent function f(x) is bounded.
Suppose, (0, 1) such that |x - y| < δ.
Thus, without generality we have:
|g(x) - g(y)| = |x(1-x)f(x) - y(1-y)f(y)|
= |x(1-x)(f(x) - f(y)) + y(f(y) - f(x)) + xy(f(x) - f(y))|
≤ x(1-x)|f(x) - f(y)| + y|f(y) - f(x)| + xy|f(x) - f(y)|
< x(1-x)4ε + y4ε + xy4ε (by the choice of δ)
= 4ε(x(1-x) + y + xy)
< 4ε(x + y + xy)
≤ 4ε(1 + 1 + 1) = 12ε
Hence, we have shown that |g(x) - g(y)| < 12ε whenever |x - y| < δ. Since ε was arbitrary, this shows that g(x) is uniformly continuous on (0, 1).
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.the temperature is -15 degree. then the temperature is 11 degree. what is the degree warmer
Answer: 26
Step-by-step explanation:
If you take 26 minus 11 it gets you -15.
Number lines help a lot with negatives. You can also start with -15 and just start adding numbers starting at a large number and going up or down depending on you answer. Ex. -15 + 30 = 15, -15 + 25 = 10, -15 + 26 = 11.
Given the function g(x)=−2x−8, evaluate g(0).
Answer:
g(0) = -8
Step-by-step explanation:
When you plug in a zero for the x the equation will look like
g(0) = -2(0) - 8
-2 times 0 = 0 so g(0) = -8
Determine whether y varies directly with x . If so, find the constant of variation.
y=4 x-3
The required value of constant of variation, k does not exist for which x and y vary directly.
What is the constant of proportion?
A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.
Solving for the value of constant of variation
When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion —-- 1
Given relation is y = 4x - 3
Comparing with equation 1, we get, that y does not vary directly with x
Hence, the required value of constant of variation does not exist.
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2x-1/3+3=x-3/5
pls do make sure to answer this *only if you know*
thank you
Answer:
\( x = - 3 \frac{4}{15}\)
Step-by-step explanation:
\(2x - \frac{1}{3} + 3 = x - \frac{3}{5} \)
\( = > 2x - \frac{ 1 +9 }{3} = x - \frac{3}{5} \)
\( = > 2x + \frac{8}{3} = x - \frac{3}{5} \)
\( = > 2x - x = - \frac{3}{5} - \frac{8}{3} \)
\( = > x = - \frac{9 - 40}{15} \)
\( = > x = - \frac{49}{15} \)
\( = > x = - 3 \frac{4}{15} (ans)\)
Answer:
x = - \(\frac{49}{15}\)
Step-by-step explanation:
Given
2x - \(\frac{1}{3}\) + 3 = x - \(\frac{3}{5}\)
Multiply through by 15 ( the LCM of 3 and 5 ) to clear the fractions
30x - 5 + 45 = 15x - 9 , that is
30x + 40 = 15x - 9 ( subtract 15x from both sides )
15x + 40 = - 9 ( subtract 40 from both sides )
15x = - 49 ( divide both sides by 15 )
x = - \(\frac{49}{15}\)
What is the inverse of this function?
f(x) = − ½√x + 3, x ≥ −3
help a girl outt!! pleasseee answer asapppp:)) will mark brainliest
Answer:
ok
Step-by-step explanation:
6 ft
4 ft
1 ft
Find the area of
this irregular shape.
a = [?] ft
4 ft
1 ft
12 ft
4 ft
4 ft
The area of the irregular shape is 63 ft². Answer: a = 63 ft².
To find the area of the irregular shape, we can break it down into smaller rectangles and triangles, and then sum up their areas.
First, let's calculate the areas of the rectangles:
Rectangle 1: Length = 6 ft, Width = 4 ft
Area = Length × Width = 6 ft × 4 ft = 24 ft²
Rectangle 2: Length = 1 ft, Width = 12 ft
Area = Length × Width = 1 ft × 12 ft = 12 ft²
Rectangle 3: Length = 4 ft, Width = 4 ft
Area = Length × Width = 4 ft × 4 ft = 16 ft²
Now, let's calculate the areas of the triangles:
Triangle 1: Base = 6 ft, Height = 1 ft
Area = (Base × Height) / 2 = (6 ft × 1 ft) / 2 = 3 ft²
Triangle 2: Base = 4 ft, Height = 4 ft
Area = (Base × Height) / 2 = (4 ft × 4 ft) / 2 = 8 ft²
Finally, sum up the areas of all the rectangles and triangles:
Total Area = Rectangle 1 Area + Rectangle 2 Area + Rectangle 3 Area + Triangle 1 Area + Triangle 2 Area
= 24 ft² + 12 ft² + 16 ft² + 3 ft² + 8 ft²
= 63 ft²
Therefore, the area of the irregular shape is 63 ft².
Answer: a = 63 ft².
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If 10 people hare 3 brownie o each peron get the ame amount, how much brownie will each peron get
If 10 people share 3 brownies equally, each person will get the same amount. To find out how much each person will get, you can divide the total number of brownies by the number of people.
Unitary Method:
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
3 brownies / 10 people = 0.3 brownies per person
So, each person will get 0.3 of a brownie. Since a brownie is a solid object, it is not possible for each person to get 0.3 of a brownie, It would be best to cut the brownies into 10 equal pieces.
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I DESPERATELY NEED HELP WITH THIS PLEASE STOP WHAT YOUR DOING AND HELP ME
ANSWER and EXPLANATION
We are given that m<8 = 23 degrees.
First, let us find m<7.
m<7 and m<8 are angles on a straight line. Angles lying on a straight line sum up to 180 degrees.
This means that:
23 + m<7 = 180
m<7 = 180 - 23
m<7 = 157 degrees
Since m<8 and m<5 also lie on a straight line, we have that:
m<5 = 157 degrees
m<8 and m<6 are vertically opposite angles. Vertically opposite angles are equal, therefore:
m<6 = 23 degrees
m<8 and m<4 are corresponding angles, based on their positions. Corresponding angles are equal, therefore:
m<4 = 23 degrees
m<4 and m<2 are vertically opposite angles, therefore:
m<2 = 23 degrees
m<5 and m<1 are corresponding angles, therefore:
m<1 = 157 degrees
m<1 and m<3 are vertically opposite angles, therefore:
m<3 = 157 degrees
what is the power to 2
A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.
Make x the subject of h = 4(x + 3y) + 2
To make x the subject means to solve the equation for x (or basically to get x to stand by itself.)
First, we expand the bracket :
h = 4x + 12y + 2
Minus both sides by 12y + 2 :
h - 12y - 2 = 4x
Divide both side by 4 :
(1/4)h - 3y - 1/2 = x
Therefore, x = (1/4)h - 3y - 1/2.
Carrie's head is full of curlers. There are 16 in all. One-fourth of the curlers are pink. There are many green curlers as pink ones. The rest are soda cans. How many cans are on Carrie's head?
Given:
Total number of curlers = 16
Pink Curlers = 1/4 of 16
Green Curlers = same with pink = 1/4 of 16
Soda Cans = 16 curlers minus pink and green curlers
To determine how many soda can curlers are in Carrie's head, let's determine first how many pink and green there are.
Since there are 1/4 of the curlers are pink, let's determine how many curlers exactly are pink by multiplying 1/4 to 16.
\(\frac{1}{4}\times16=\frac{16}{4}=4\)Therefore, there are 4 pink curlers. Similarly, there are also 4 green curlers since it is stated in the problem that they have the same count.
So, 16 curlers minus 4 pink and 4 green curlers, there are 8 soda cans curlers in Carrie's head.
William bought a photocopier and supplies for $162. 50, which will allow him to make copies for $0. 12 each. A photocopy store charges $0. 21 for each copy. How many copies must william make before his total cost is less than getting copies made at the photocopy store?.
William must make 1806 copies before his total cost is less than the photocopy store.
Let William made x copies from his home photocopier.
Now total cost of x copies = 0.12 x + 162.5
Total cost of x copies from the store = 0.21 x
Now his cost needs to be lower, so we form an inequality to solve this problem.
0.12x + 162.5 < 0.21x
or, 0.12x - 0.21x < -162.5
or, -0.09x < -162.5
or, x > 1805.56
Hence the minimum value of x will be 1806.
Therefore we can say that he needs to make at least 1806 copies.
The two sides of a mathematical equation having an inequality must be equal. In inequality, we compare several values in contrast to equations. The equal sign can be substituted with the less than (or less than as well as equal to), larger above (or greater to), or is not equal to signs.
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in the year 2018, it was estimated that approximately 28,000 floridians were homeless. a social worker estimates that 78% of these people were age 18 and up. in the distribution of ages of homeless floridians, an 18 year old would be considered what percentile? group of answer choices 22nd percentile 78th percentile 28th percentile 18th percentile
The an 18-year-old homeless Floridian would be considered at the 22nd percentile in the distribution of ages of homeless Floridians.
the social worker estimated that 78% of the homeless population in Florida in 2018 were age 18 and up, which means that 22% of the homeless population were under 18 years old. Therefore, an 18-year-old would be at the 22nd percentile in the age distribution of homeless Floridians.
based on the given information, an 18-year-old homeless Floridian would be at the 22nd percentile in the age distribution of homeless Floridians.
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Enter the approximate value of \(2\sqrt{29}\) to the nearest tenth.
Answer:10.8
Step-by-step explanation:
10.8
Step-by-step explanation:
We got the same question in math that was the answer.