A square is the polygon that will always have 4-fold reflectional symmetry.
A square is a polygon with four equal sides and four right angles. It possesses four lines of symmetry, which means that it can be reflected across these lines to produce congruent images. Each line of symmetry divides the square into two equal parts that are mirror images of each other. The four lines of symmetry in a square are the vertical line passing through the midpoint of each pair of opposite sides and the horizontal line passing through the midpoint of each pair of opposite sides. This reflectional symmetry property makes the square ideal for applications where symmetry is desired, such as tile patterns or architectural designs.
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Construct the line perpendicular to segment TU at point V
Answer:
Option (2)
Step-by-step explanation:
Steps to draw a perpendicular at a point lying on a segment;
1). Take a point on the segment at which the perpendicular is to be drawn.
2). Draw an arc from the point chosen on the segment which intersects the segment at the two different points.
3). Now mark two arcs from these points with the same radius intersecting each other on the same side of the segment.
4). Join the point of intersection of the arc with the point given on the line with straightedge.
Hence a perpendicular is drawn at a point of a segment.
These steps have been followed in option (2).
Option (2) will be the answer.
an engineering research center claims that through the use of a new computer control system, automo- biles should achieve, on average, an additional 3 miles per gallon of gas. a random sample of 100 automo- biles was used to evaluate this product. the sample mean increase in miles per gallon achieved was 2.4, and the sample standard deviation was 1.8 miles per gallon. test the hypothesis that the population mean is at least 3 miles per gallon. find the p-value of this test, and interpret your findings.
The test is proved that hypothesis that the population mean is atleast 3-miles per gallon.
What is hypothesis?A hypothesis is the proposed explanation for any kind of phenomenon.
So here are the values of X BAR i=2.4. S is 1.8.
Our sample n =100.
The null hypothesis here is that mu is greater than or equal to 3.
Against the alternative hypothesis that is less than three. Now the calculated value for the test statistic is going to be the equal to X bar is in (-) knots. That's 2.4 -3. divided by S over 2^2 of end. So 1.8 divided by the square root of the 100 gives us negative 3.33. So we can refer to that box of the T distribution and we are get the value. The p value for the test is going to be less than 0.5. Therefore we have the strong evidence that the not hypothesis is going to be the read checked it. So therefore we can reject to the null hypothesis and then it can accept the alternative by the hypothesis that is less than three. Where it is here is the mean of the population, the noting the average increase per gallon.
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BRAINLIEST IF YOU CAN ANSWER!!
The Area of the given figure is 22 unit square.
What is Area?The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity.
Given:
We have given the figure.
Then, we will count the boxes the area will be
= 2 x (1/2 + 2/3 + 1/3 + 1/2 + 1 + 2/3 + 1 + 1 + 1 + 1 + 1 + 1/2 + 1/2 + 1/3)
= 2 x (4/2 + 6/3 + 6)
= 2 x (2 + 3 + 6)
= 2 x (11)
= 22 unit square.
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Answer:
the answer is b
Step-by-step explanation:
true or false: the most common level of confidence used in creating confidence intervals is 90%. group of answer choices true false
It is true, that the most level of confidence used in creating confidence intervals is 90%.
What is confidence interval?
A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contain the parameter's true value is what is meant by the confidence level. The degree of confidence, sample size, and sample variability are all factors that might affect the width of the CI. A larger sample would result in a narrower confidence interval if all other factors remained constant. A wider confidence interval would also be required by a higher confidence level and would be produced by a sample with more variability.
We have given,
Given n = 93, u =24, x' = 23, α=5.5
z = x'- u / α(/√n) = 1.645
Hence the answer choice is true.
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Expand (1-2p)^10 in binomial expansion
Answer:
Here is the answer.
Step-by-step explanation:
To expand the expression (1-2p)^10 using the binomial expansion, we can apply the binomial theorem. The binomial theorem states that for any positive integer n:
(x + y)^n = C(n, 0) * x^n * y^0 + C(n, 1) * x^(n-1) * y^1 + C(n, 2) * x^(n-2) * y^2 + ... + C(n, n-1) * x^1 * y^(n-1) + C(n, n) * x^0 * y^n
where C(n, k) represents the binomial coefficient, given by C(n, k) = n! / (k! * (n-k)!).
In this case, we have (1-2p) as x and we want to expand it to the power of 10. Let's calculate the expansion:
(1-2p)^10 = C(10, 0) * (1)^10 * (-2p)^0 + C(10, 1) * (1)^9 * (-2p)^1 + C(10, 2) * (1)^8 * (-2p)^2 + ... + C(10, 9) * (1)^1 * (-2p)^9 + C(10, 10) * (1)^0 * (-2p)^10
Simplifying further:
(1-2p)^10 = 1 * 1 * 1 + C(10, 1) * 1 * (-2p) + C(10, 2) * 1 * (4p^2) + ... + C(10, 9) * 1 * (-512p^9) + C(10, 10) * 1 * (1024p^10)
Now we can calculate the binomial coefficients and simplify the expression:
(1-2p)^10 = 1 - 20p + 180p^2 - 960p^3 + 3360p^4 - 8064p^5 + 13312p^6 - 15360p^7 + 11520p^8 - 5120p^9 + 1024p^10
Therefore, the expansion of (1-2p)^10 using the binomial theorem is 1 - 20p + 180p^2 - 960p^3 + 3360p^4 - 8064p^5 + 13312p^6 - 15360p^7 + 11520p^8 - 5120p^9 + 1024p^10.
Anton wants to make a 5 lb of sugar syrup How much water and how much sugar does he need to make 50% of sugar syrup
Answer:
2.5 and 2.5
Step-by-step explanation:
Since it is 50%. You just do 5lb divided by 2
Answer:
2.5&2.5
Step-by-step explanation:
You divide 5/2 and get 2.5 for both! Hope this helps!
what is the arithmetic mean of all of the positive two-digit integers with the property that the integer is equal to the sum of its first digit plus its second digit plus the product of its two digits?
The arithmetic mean is 59.
What is arithmetic mean?
It is the sum of collection of numbers divided by the count of the numbers.
Conider AB is the nuber satisfying the condition. Hence,
\(10A+B=A+B+A\times B\\9A=A\times B\\\)
Since AB is a two digit number hence, \(A\neq 0\\\). Hence, divide both sides by \(A\).
\(9=B\)
Hence, B is 9 and A can take any value from 1 to 9.
Hence, numbers are 19, 29, 39, 49, 59, 69, 79, 89,99.
Now, calculate arithmetic mean as follows:
\(AM=\frac{Sum \ of \ numbes}{Count \ of \ numbers}\\=\frac{19+29+39+49+59+69+79+89+99}{9}\\=59\)
Hence, arithmetic mean of numbers is 59.
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To be able to buy a new computer, Ivanna decides to save for 2 years. She opens a savings account with 200$. The account pays simple interest at an annual rate of 5%. She doesn't make any more deposits. Answer the following questions. If necessary, refer to the list of financial formulas. (a) How much total interest will Ivanna earn? (b) What will the total amount in the account be (including interest)
Total interest earned = $10
Total amount in account after 2 years = $220.
How we calculate interest?
Ivanna will earn $10 in total interest over 2 years.
The total amount in the account (including interest) will be $210.
To calculate the interest, we can use the formula: interest = principal x rate x time.
Using this formula, we get interest = $200 x 0.05 x 2 = $20.
Adding this to the initial amount of $200, we get a total of $210 in the account after 2 years.
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Given the function ƒ(x) = 3x + 5, find ƒ(4) and x such that ƒ(x) = 38.
Answer:
just plug 4 inside f(x)=3(4)+5
3x+5=38
3x=33
Divid by 3 on both sides
x=11
Step-by-step explanation:
Bir kurbağa ileriye doğru 2m zıplamaktadır bir zıplayşı 5 saniye tamamladığına göre 3 dakika sonunda kaç metre ilerlemiş olur? Anlatarak ve çözümlü olsun boş şey yazanı bildiririm ve çözümlü yapmayanıda bildirir ve hasabını silerim ;)
Answer:
72 metre :D
Step-by-step explanation:
You borrowed $95 for 1 year at 5.2% interest that is compounded semi annually. What will you pay back in full?
Answer:
$100.00
Step-by-step explanation:
Compound interest is calculated by multiplying the initial loan amount, or principal, by the one plus the annual interest rate raised to the number of compound periods minus one. This will leave you with the total sum of the loan including compound interest.
The amount I have to pay back in full is approximately 100 dollars.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
The formula for compound interest compounded semi-annually is,
A = P(1 + (r/2)/100)²ⁿ. (two semi-annuals in one year)
Therefore, A = 95(1 + (5.2/2)/100)²ˣ¹.
A = 95(1 + 0.026)².
A = 95(1.026)².
A = 95×1.052676.
A = $100 approximately.
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what makes 3+7+2= +2true?
The equation 3+7+2=+2 is actually not true, but false.
Is the 3+7+2= +2true?The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.
In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.
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What is 1/2 • 1 • 2 please help
Answer:
1
Step-by-step explanation:
1/2x1x2
1
Calculate the work done in lifting a 15-lb flower pot to a height of 4 ft above the ground.
Answer:
A. 60 ft·lb
Step-by-step explanation:
You want the work done lifting a 15-lb flower pot to a height of 4 ft.
WorkWork is the product of force and distance. When the pot is raised 4 ft, the work done is ...
W = F·d
W = (15 lb)(4 ft) = 60 ft·lb
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Find the equations of a line through these 2 points
(1,2) & (3,5)
2. (-2,0) & (0,8)
3. (4,-5) & (11,-5)
4. (6,2) & (9,3)
6. (6,2) & (10,3)
5. (7,5) & (6,11)
answer is 2.2 66 88862 u88272
\(2x+7-1=2x+7\)
Answer:
-1Step-by-step explanation:
\(2x + 7 - 1 = 2x + 7\)
\( = > 2x - 1 = 2x + 7 - 7\)
\( = > 2x - 1 = 2x\)
\( = > - 1 = 2x - 2x\)
\( = > x = - 1\)
Suppose that \( f(x)=h^{-1}(x) \) and that both \( j \) and \( h \) are defined for all values of \( x \). Let \( h(11)=2 \) and \( f(12)=-7 \). Evaluate the following if possible. If it is not possib
h(2) + j(−7) = −7(1 + j)
Suppose that f(x) = h^−1(x) and that both j and h are defined for all values of x. Let h(11) = 2 and f(12) = −7. We need to evaluate the following. h(2) + j(−7)For finding the value of h(2), we can use f(x) = h^−1(x) where x = h(2)f(h(2)) = 2h(2) = f^−1(2)We need to find h(2). Therefore, we need to find f^−1(2). We know f(12) = −7f(h(2)) = 2⟹ h(2) = −7Substitute h(2) = −7 in h(11) = 2h(11) = h(2 + 9) = h(2) + 9 = 2 + 9 = 11Therefore, h(2) = −7 and h(11) = 2.h(2) + j(−7) = −7 + j(−7) = −7(1 + j)Therefore, h(2) + j(−7) = −7(1 + j).
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Which graph shows a line with an x-intercept of -5?
Answer:
The answer is A.
Step-by-step explanation:
The only option is A. since an intercept of (-5,0)
Option B has y-int: (0,-5)
Option C has y-int: (0,5)
Option D has x-int(5,0)
Maria walks a round-trip of 0.75 miles to school everyday. How many miles will she walk in 4.5
Sue has 45 shells in her shell collection. Jared, who just started his collection, has
5 shells. Sue’s collection is how many times larger than Jared’s? I need the equation: and answer
Answer:
9
step by step:
sue = 45 shells
Jared= 5 shells
therefore 45÷5 =9
Answer:
9 times bigger
Step-by-step explanation:
45/5= 9 times bigger
why?
because "how many times bigger (or larger)"
Sue has 45 shells
and Jared has 5 shells
divide them and u get the answer
Please help me with this asappppp
The perimeter of the rectangle is 32 feet.
Perimeter of the rectangle:
The perimeter of a rectangle is stated that the sum of all the sides of a rectangle.
Through the definition, the perimeter of a rectangle,
P = 2 (a + b) units
where
“a” is the length of the rectangle
“b” is the width of the rectangle
Given,
Here we have the diagram of the rectangle and the measurements are given in it.
And we need to find the perimeter of the rectangle.
Through the given diagram, we know that, the values of
length = 12 feet
width = 4 feet
Now, we have to apply the values on the formula in order to solve it,
So, the perimeter is,
P = 2 ( 12 + 4)
When we simplify it then we get,
P = 2 (16)
After the multiplication we get the result as
P = 32 feet.
Therefore, the perimeter of the rectangle is 32 feet.
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Determine the range of the function g(x)= 5x^2-2x+1. Enter your answer in interval notation. This is a parabola that turns upward.
The parabola opens upward, the range of the function is [6/5, ∞) in interval notation.
We can find the range of the function by finding the vertex of the parabola, which will give us the minimum value, and then noting that the function increases without bound as x approaches infinity.
First, we need to find the vertex of the parabola. We can do this by finding the x-coordinate of the vertex, which is given by:
x = -b/2a
where a = 5, b = -2. Substituting these values, we get:
x = -(-2)/(2(5)) = 2/5
To find the y-coordinate of the vertex, we can substitute this value of x into the equation for g(x):
g(2/5) = 5(2/5)^2 - 2(2/5) + 1 = 5/5 - 4/5 + 1 = 6/5
So the vertex of the parabola is (2/5, 6/5), which is the minimum value of the function.
Since the parabola opens upward, the range of the function is [6/5, ∞) in interval notation.
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41/1000 written as a decimal?
Answer:
When dividing by 1,000 the decimal place must shift 3 places to the left.
43 can be written as 43.
Shifting the decimal 3 places to the left gives us:
.043
Step-by-step explanation:
Use the Distributive Property to find the product 3/4 • 2 1/3
find the square root of 2.2 correct to two place of decimal
Answer:
1.48
Step-by-step explanation:
my calculator said sqrt(2.2)=1.48
Written as a simplified polynomial in standard form, what is the result when
(x - 2)^2is subtracted from 9x^2-8x?
Answer:
9x^2 - 10x -4
Step-by-step explanation:
It is set up like this
9x^2 - 8x
- (x-2)2
First solve (x-2)2
the answer is (2x-4)
so now you can do this instead
9x^2 - 8x
- 2x - 4
----------------------------------
9x^2 - 10x +4
9x^2 minus zero is 9x^2
-8x-2x is -10x
0- -4 is 4 because that is like saying 0 + 4 because double negatives equal a positive
A simpler way is to change all the numbers to the opposite sign and then change the minus to a plus
like this
9x^2 - 8x
+ -2x + 4
----------------------------------
9x^2 - 10x +4
Answer:
8x^2-4x-4
Step-by-step explanation:
On delta math
A certain number is added to four result is double
Coach Smith purchased a fishing boat for $15,000, and the value of the boat
depreciates at 18% per year. How much will the boat be worth after 8 years?
Answer:
$3066
Step-by-step explanation:
como puedo salir de Brainly
Answer:
push the x on the top left corner of the tab
Step-by-step explanation:
simplify fully
13/2x-5/x
Answer:
13x2−10/2 is your answer
Step-by-step explanation: