A total of 676 different three-letter initials combinations end with the letter Z using the uppercase characters in English alphabets.
We have three letters which have to be filled in.
English alphabets consist of 26 letters (A-Z). Let's suppose A1, A2 & A3 are the three initials.
For A1, we have 26 alphabets to choose from i.e. A-Z
For A2, we again have 26 alphabets to choose from i.e. A-Z
For A3, we have only one option i.e. Z
Thus, total different three-letter initials combinations for "**Z" pairings are:
26 x 26 x 1 = 676
Please note that combinations allow repetition of values. If one wants to avoid repetition, permutation needs to be calculated.
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question 16 a project has a 60% chance of doubling your investment in 1 year and a 40% chance of losing half your money. what is the standard deviation of this investment? 62% 73% 50% 25%
The standard deviation is 70 %.
What is standard deviation ?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. [1] While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation. Standard deviation may be written as SD.A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance. Though in algebra, it is simpler.acc to our question=
To get Standard Deviation (SD), we follow the steps shown below:We need to find the difference of each number from the mean and then square it.Then take the sum of all of these values.Then divide by the number of numbers.Then take square root of that.learn more about sd click here:
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How many degrees of freedom does the chi-square test statistic for a goodness of fit have when there are 10 categories?.
Degree of freedom for chi-square test for 10 categories will be 9.
What is chi- square test?
A test that evaluates how well a model matches real observed data is that the chi-square (χ²) statistic. A chi-square statistic can only be calculated with data that's random, unprocessed, mutually exclusive, obtained from independent variables, and drawn from a large enough sample.
The Formula for Chi-Square Is
χ(c)=²∑(Oₐ-Eₐ)₂/Eₐ²
where:
c=Degrees of freedom
O=Observed value(s)
E=Expected value(s)
Main Body:
Degree of freedom = total categories -1
so no. of categories= 10
Degree of freedom = 10 - 1
Hence degree of freedom = 9
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In year 2020, a pond had 798 gallons of water. In year 2024, the same pond had only 612 gallons of water. If the rate of change is constant, predict the volume of water in year 2030
If the rate of change is constant, the volume of the water in the pond by the year 2030 will be 147 gallons.
Define volume.
Any three-dimensional solid's volume is just the amount of space it takes up. It can be any shape like a cube, cuboid, cone, cylinder, etc. Various forms have various volumes. We have studied the several solids and forms that are specified in three dimensions, such as cubes, cuboids, cylinders, cones, etc., in 3D geometry. The SI unit of volume is cubic units.
Solution Explained:
Based on the conditions given in the question, we formulate as follows
(612 X (2024 - 2020) + (612 - 798) X (2030 - 2020) / (2024-2020)
= (612 X 4 - 186 X 10) / 4
= (2448 - 1860) / 4
= 588 / 4
= 147
Therefore, by 2030 the volume of the water in the pond will be 147 gallons.
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Agustin bought c books. They were 6 dollars each. Write an equation to represent the total amount p that Agustin paid for the books.
The equation to represent the total amount paid for the book is p=6c.
What is equation ?An equation is a combination of two or more variables in which the two mathematics expressions are equal.
Given that,
Book bought by Agustin = c,
Price for the book = 6 $
The total amount paid by Agustin = Number of books × price of books
Amount =c×6,
p=6c $.
The amount paid by Agustin is p=6c $.
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what is
1+3=
A.6
B.10
C.4
D.7
Answer:thhe one on top good
Step-by-step explanation:
Aubrie Kincade
Fractions as Quotients and Fraction Multiplication:Question 5
Do the following multiplication:
Enter answer below
Enter your response
1
x 7
The multiplication of the quotient and the fraction is 1 (2/5).
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
The given expression is (1/5) × 7.
Perform the multiplication:
(1/5) × 7
= 7/5
= 1 (2/5)
Hence, the multiplication of the quotient and the fraction is 1 (2/5).
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Question enrique plans to sell his car and places a 6-line ad. his paper charges $42 for the first two lines and$6.75 per extra line, to run the ad for one week. what will enrique's ad cost to run for three weeks?
The cost for Enrique's ad which he wants to run for 3 weeks is $207
Given,
Number of lines in Enrique's ad = 6 lines
Charge for first two lines of ad = $42
Charge for extra lines after 2 lines = $6.75 each
The above given charges are for one week.
We have to find the cost for Enrique's ad which he wants to run for 3 weeks;
Here,
Total charge for Enrique's ad = 42 + (4 x 6.75) = 42 + 27 = 69
Enrique's 6 line ad charges $69 for a week
Now,
Charge of ad for 3 weeks = 69 x 3 = 207
That is,
The cost for Enrique's ad which he wants to run for 3 weeks is $207
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Describe each of the following transformation that maps the figures described below. Be specific by naming lines of reflection, centers of rotation and degrees of rotation, distance and direction of translations, and centers of dilation with a scale factor. Determine if the transformation is a rigid transformation or a similarity transformation. Explain all reasoning.
The image is then dilated by a scale factor of half with a center of dilation of (1, 2); Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).
What is rigid transformation?A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. In a rigid transformation the pre-image and image are congruent (have the same shape and sizes).
The coordinates of the vertices of the preimage will be;
(5, 10), (2, 4), (9, 2)
The coordinates of the vertices of the image will be;
(-9, -2), (-2, -4), (-5, -10)
This is equivalent to a reflection about the origin, and a rotation of 180° clockwise or anticlockwise about the origin.
Part B: Figure 2 to Figure 5
The coordinate points of figure 2 will be;
(-9, 2), (-5, 10), and (-2, 4)
The coordinate points of figure 5 will be;
(1, 2), (2.5, -1), and (4.5, 3)
The lengths of the sides of figure 2 will be;
√((10 - 2)² + ((-5) - (-9))²) = 4·√5
√((10 - 4)² + ((-5) - (-2))²) = 3·√5
√((2 - 4)² + ((-9) - (-2))²) = √53
The lengths of the sides of figure 5 will be;
√(((-1) - 2)² + (2.5 - 1)²) = (3·√5)/2
√((4.5 - 2.5)² + (3 - (-1))²) = 2·√5
√((4.5 - 1)² + (3 - 2)²) = (√53)/2
Thus, Figure 5 is Figure 2 dilated by a scale factor of 1/2(half )
Therefore, the given sides of Figure 2 and Figure 5 are rotated by 180°
1) The rotation of figure 2 by 180° about the origin to get;
(-9, 2), (-5, 10), and (-2, 4) → (9, -2), (5, -10), and (2, -4)
2) The image is translated left by 1 blocks and up by 6 blocks as;
(9, -2), (5, -10), and (2, -4) → (8, 4), (4, -4), and (1, 2)
3) The image is then dilated by a scale factor of half with a center of dilation of (1, 2);
Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).
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In ssa case for an obtuse angle, what is the maximum number of triangles that can be generate with the given information?.
Using the SSA method, the maximum number of triangles that can be generate is 1.
In the given question,
In SSA case for an obtuse angle, we have to find the maximum number of triangles that can be generate with the given information.
As we know that,
There cannot be a second obtuse angle if the specified first angle is already obtuse since the triangle's angle total would be greater than 180°. As a result, there is only one way to construct the triangle, making SSA a valid congruence theorem when the supplied angle is acute.
So the maximum number of triangles that can be generate is 1.
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-4 1/4 * (-1 2/4)
I don't understand how to solve.
Answer:
[tex]6\frac{3}{8}[/tex]
Step-by-step explanation:
to multiply fractions turn them into improper fractions and then multiply numerator by numerator and denominator by denominator
-4 1/4*-1 2/4
-17/4*-6/4
102/16
51/8
6 3/8
Hopes this helps please mark brainliest
The lengths of the three sides of a triangle (in inches) are consecutive odd integers. If
the perimeter is 57 inches, find the value of the middle of the three side lengths.
The sides of the triangle are 17, 19 and 21 and 19 is middle of the three side lengths.
What are triangles?
Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. The triangle's three angles add up to a total of 180 degrees.Let the side of triangle = x
x-2, x, x+2 are the three sides and their sum is 3x.
3x = 57
x = 57/3
x = 19.
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7 bags of red grape cost $24.50 4 bags of green grapes cost $15 what type of grapes is more expensive
Answer:
red grapes cost the most
Step-by-step explanation:
7 bags of red grape cost $24.50 4 bags of green grapes cost $15 what type of grapes is more expensive?
24.5/7 = $3.50 per bag
15/4 = $3.75 per bag
So, the red grapes cost more per bag.
Andre is solving the inequality 14x+3≤8x+3. He first solves a related equation. 14x+3=8x+3 14x=8x 8=14 This seems strange to Andre. He thinks he probably made a mistake. What was his mistake? Responses Andre made a mistake when he erased the 3 on both sides of the equation. Andre made a mistake when he erased the 3 on both sides of the equation. Andre made a mistake by changing the less than symbol to an equal sign. Andre made a mistake by changing the less than symbol to an equal sign. Andre made a mistake after getting 14x=8x. He divided each side by x, but this is not valid since x may be 0 and dividing by 0 gives an undefined result.
Andre made a mistake after getting 14x=8x. He divided each side by x, but this is not valid since x may be 0 and dividing by 0 gives an undefined result.
Andre should have collected the like terms in order to have all the variables x on one side before taking the difference.
Inequality expression
Given the inequality expression solved by andre expressed as:
14x + 3 ≤ 8x + 3
Simplify to have:
14x - 8x ≤ 3-3
6x ≤ 0
x ≤ 0
Hence andre should have collected the like terms in order to have all the variables x on one side before taking the difference.
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Use the area formula A=lw to write a formula for the length l of a baking sheet that has an A = 117^{2}
The formula to find the length l of a baking sheet that has an area of 117 square units is l = 117/w.
According to the question,
We have the following information:
Formula to find area = lw
Now, l is the length of a baking sheet.
Area of a baking sheet = 117 square units
So, we have the following expression:
lw = 117
Now, in order to find the value of l, we will divide both sides by w:
l = 117/w units
Hence, the formula to find the length l of a baking sheet that has an area of 117 square units is l = 117/w.
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PLEASE HELP NEED THIS TO BE DONE IN 10 MINUTES
The cost x of the Sennet family’s meal at a restaurant is $172.65, and they tip 20%. Write and use an equation to find the total cost y of the dinner.
Enter the correct answers in the boxes.
Answer: (x/5)+x=y
Step-by-step explanation:
A hot air balloon rises 1,500 feet in 25 minutes. Which equation represents altitude (h) of the balloon over time (t)?
A) h = 60t
B) t = 1,500h
C) h = 1,500t
D) h = 60/t
The equation that represents the altitude h of the balloon over time.
h = 1500t.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 5 is an equation.
3x + 5x = 5 is an equation.
We have,
A hot air balloon rises 1,500 feet in 25 minutes.
This means,
25 minutes = 1,500 feet
h = altitude
The equation that represents the altitude h of the balloon over time.
h = 1500t.
Thus,
The equation that represents the altitude h of the balloon over time.
h = 1500t.
Option B is the correct answer.
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The circle below is centered at (3, 1) and has a radius of 2. What is its
equation?
Answer:
B. [tex](x-3)^2+(y-1)^2=4[/tex]
Step-by-step explanation:
Standard equation of a circle with a center at C=(3,1) and radius 2 is:
[tex](x-3)^2+(y-1)^2=4[/tex]
The equation of a circle with center at (h,k) and a radius of r is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
In this example h=3, k=1 and r=2, so after substituting into above formula we have:
[tex](x-3)^2+(y-1)^2=2^2\\(x-3)^2+(y-1)^2=4[/tex]
Thanks.
2. Find the turning point of y = x² + 4x - 3 by completing the square.
Answer:
turning point = (- 2, - 7 )
Step-by-step explanation:
the vertex form of a parabola is
y = a(x - h)² + k
where (h, k ) are the coordinates of the turning point ( vertex) and a is a multiplier.
given
y = x² + 4x - 3
to complete the square
add/ subtract ( half the coefficient of the x- term)² to x² + 4x
y = x² + 2(2)x + 4 - 4 - 3
y = (x + 2)² - 7 ← in vertex form
with turning point (- 2, - 7 )
A set of computer science exam scores are normally distributed with a mean of 71. 3371. 3371, point, 33 points and a standard deviation of 333 points. What proportion of exam scores are between 686868 and 77. 9977. 9977, point, 99 points? you may round your answer to four decimal places.
0.86 of the exam scores are between 68 and 77.99 points
Since the set of computer science exam scores are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x-μ)/σ
Where
X = computer science exam scores.
μ = mean score
σ = standard deviation
From the information given,
μ = 71.33 points
σ = 333 points
We want to find the proportion of the exam scores are between 68 and 77.99 points. It is expressed as
P(68 < x ≤ 77.99)
For x = 68,
z = (68 - 71.331)/333 = - 0.01
Looking at the normal distribution table, the probability corresponding to the z score is -0.01
For x = 68,
z = (77.99 - 71.33)/333 = 0.25
Looking at the normal distribution table, the probability corresponding to the z score is 0.25
P(68 < x ≤ 77.99) = 0.25 + 0.01 = 0.26
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the primary tool for determining whether the assumptions made about the regression model are appropriate is
The primary tool for determining whether the assumptions made about the regression model are appropriate is residual analysis.
Regression analysis is a collection of statistical techniques used in statistical modelling to estimate the associations between a dependent variable and one or more independent variables. Regression analysis is a mathematical method for determining which of those factors has an effect.
Regression analysis is an effective statistical tool for examining the connection between two or more variables of interest. When the dependent and independent variables are connected in a linear or nonlinear form and the goal variable has a set of continuous values, it is extensively employed. As a result, regression analysis methodologies aid in the establishment of causal links between variables, as well as in the modelling of time series and forecasting.
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a line goes through the point (2,4) and has a slope of 3/2. Which of the following points is also on the line? Circle all that apply
The equation of the line passing through point (2,4) and having a slope of 3/2 is y = (3/2)x + 1.
What is the equation of line with the given point and slope?The formula for equation of line is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
Given the data in the question;
Slope m = 3/2Point: (2,4)
x = 2y = 4Equation of line = ?First, we determine the y-intercept of the line 'b'.
Plug the slope and coordinates of the point into y = mx + b and solve for b.
y = mx + b
4 = (3/2)2 + b
4 = 3 + b
4 - 3 = b
b = 1
Now, plug the slope and y-intercept into y = mx + b to determine the equation of the line.
y = mx + b
y = (3/2)x + 1
Therefore, the equation of the line is y = (3/2)x + 1.
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one day, river writes down the numbers river chooses one of the digits written down at random. what is the probability that river chooses a ?
The probability that river chooses a number "7" is 300/2889 or 100/963.
The numbers 1, 2, 3,..., 999 are noted.First, we count all the digits that have been recorded.
1 through 9 equals nine digits.
10 digits equals 2(99 - 10 + 1) = 2(90) digits.
100-999 = 3(999-100+1) = 3(900) digits.
Total digits: 9 + 2 (90) + 3 (900) = 2889
Digit 7 values between 1 and 999
7 appears 100 times every decade in the Units place (7, 017... 997)=10 X 10 times.
Seven appears ten times in the Tens position per century (70-79, 170-179,..., 970-979), which equates to 10 X 10 or 100 times.
The number 7 appears 100 times in the hundreds' place (700, 701,..., 799)
As a result, between 1 and 999, the number 7 will appear a total of 300 times.
Consequently, the likelihood of choosing "7" is equal to 300/2889.
= 100/963
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Faris has a box of 150 building blocks.
a) He uses some of the blocks to make a tower.
70 blocks are left over.
How many blocks has he used?
80 blocks
b) He uses the 70 blocks left over to make another two towers.
One tower takes 35 blocks and the other takes 20 blocks.
4
How many of the 70 blocks has he got left?
blocks
The value of the blocks he used is 80 blocks.
What is meant by mathematic expression?The difference is that expressions, which are essentially mathematical "phrases," do not contain an equal sign. Equations have an equal sign and demonstrate that two mathematical expressions are equivalent. An algebraic equation is 2x + b = 14, but 2x + b is an algebraic expression.
Arithmetic operations are the most fundamental type of mathematical expression. Any combination of numbers and a mathematical operation, such as multiplication, addition, subtraction, or division, are considered arithmetic operations.
Given ,
A)How many blocks has he used?
150-70
= 80
B) 35 - 20
= 15
70/15
= 4
Therefore the value of the blocks he used is 80 blocks
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PLEASE HELP MATH 36 pointssss
In \triangle VWX,△VWX, \overline{WX}\cong \overline{VW}
WX
≅
VW
and \text{m}\angle V = 40^{\circ}.m∠V=40
∘
. Find \text{m}\angle X.m∠X.
The measure of m∠X is 70°
From the question, we have
Sum of interior angles of a triangle is equals to 180 degree
∠W+∠X+∠V=180°
2∠W+∠V=180°
2∠W+40°=180°
2∠W= 180°-40°
2∠W=140°
∠W = 70°
∠W = ∠X = 70°
Subtraction:
The process of removing items from a collection is represented by subtraction. Subtraction is represented by the minus sign. If, for instance, there are nine oranges stacked together (as shown in the above figure), and four of those oranges are then moved to a basket, the stack will contain nine minus four oranges, or five oranges. As a result, 9 minus 4 equals 5, or the difference between 9 and 4. Incorporating subtraction into other types of numbers is possible in addition to using it with natural numbers.
Complete question:
In triangle VWX above, overline VW = overline VX and angle V = 40 degrees. What is the measure of m∠X
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Please help me with this, thank you.
Answer:
Step-by-step explanation:
Domain is the input
Range is the output
Function is the equation that is set up by the given information
1)
Domain 2 to 8
Range 1 to 6
Yes, this is a function
2)
Domain 2 to 3
Range 7 to 13
No, this is not a function , b/c functions need a 1 to 1 correspondence
3)
Domain 0 to 4
Range -1 to 5
No, this is not a function , b/c functions need a 1 to 1 correspondence
What is the absolute value of 4 by 3?.
The absolute value of 4 by 3 would be 3.33
What is the absolute value?
The absolute value or modulus of a real number x denoted |x| in mathematics, is the non-negative value of x regardless of its sign.
We have to find the absolute value of 4/3.
So |4/3| = |3.33|
= 3.33
Hence, the absolute value of 4 by 3 would be 3.33
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A urvey by the National Retail Federation found that women pend on average R146. On a Saturday
lunch. Aume the tandard deviation i R29. 44. Find the percentage of women who pend le than
R190. 00 on a Saturday lunch. Aume the variable i normally ditributed
0.68 is the variable is normally distributed when standard deviation is r29. 44.
What is standard deviation in math?
Your dataset's average level of variability is represented by the standard deviation.It reveals the average deviation of each statistic from the mean.A low standard deviation means that values are clustered close to the mean, whereas a high standard deviation means that values are typically far from the mean.μ = 146.21 σ = 23.44 x ~ n
P{ x < 160 } = ρ{ x - μ/σ < 160 - 146.21/29.44 }
= ρ{ z < 0.47 }
= 0.6808
≈ 0.68
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HELP ASAP DUE TOMORRROW
Based on the box plot, the number of students that gained more than 48 marks is 80 students.
What is a box and whisker plot?In Mathematics, the five-number summary of any box and whisker plot include the following:
MinimumFirst quartileMedianThird quartileMaximumBy critically observing the box and whisker plots which represent the scores of students in a test, we can reasonably and logically deduce that the third quartile (75%) is 70 and the median score is 48. Therefore, we would calculate the total number of students as follows:
Total number of students = 75/100 × T
120 = 0.75T
T = 120/0.75
T = 160 students.
From the median score of 48, the number of students that gained more than 48 marks is given by:
Students = 50/100 × 160
Students = 50/100 × 160
Students = 80 students.
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un envase tiene una capacidad de 2,5 litros. si se agregan 1,3 litros de agua, ¿ qué fracción del envase está vacía.
Ayuda
The fraction of the container that is empty, based on the capacity of the container and the water added, is 12 / 25
How to find the fraction?The fraction of the container that is empty can be found by the formula:
= (Capacity of container - Amount of water added ) / Capacity of container
Capacity of container = 2.5 liters
Amount of water added = 1 . 3 liters
The fraction of the container which is empty is:
= (2 . 5 - 1.3) / 2.5
= 1.2 / 2.5
= (1 . 2 x 10) / ( 2 . 5 x 10)
= 12 / 25
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