Answer:
Translation: 4 to the right and 8 up.
Scale factor: 3
Step-by-step explanation:
If you move CDE 4 spaces to the right and 8 spaces up C and C' will match up. If you dilate (make bigger) CDE 3 times it will perfectly be C'D'E'.
I need to find how much Julia will pay so I have to solve for 3x+5y=50X+5y=31 but if I do that The answer that it gives me I can’t plug it in because is in ( 19/2,43/10) but I need Ane specific answer how can I solve for this ?
The first step is to find the values of x and y. From the information given,
x is the cost of an adult ticket and y is the cost of a child ticket. The system of equations is shown below
3x + 5y = 50
x + 5y = 31
From the second equation,
x = 31 - 5y
We would substitute x = 31 - 5y into 3x + 5y = 50. We have
3(31 - 5y) + 5y = 50
By expanding the parentheses, we have
93 - 15y + 5y = 50
- 15y + 5y = 50 - 93
- 10y = - 43
Dividing both sides of the equation by - 10,
- 10y/- 10 = - 43/- 10
y = 4.3
Substituting y = 4.3 into x = 31 - 5y, we have
x = 31 - 5 * 4.3 = 31 - 21.5
x = 9.5
If an adult ticket costs $9.5, then the cost of 4 adult tickets is
4 x 9.5 = $38
(1) y - 11 = 4
(2) y = 2x + 3
Answer:
y = 15 , x = 6
Step-by-step explanation:
you can easily find y from first equation
Move y to the other side of the equation and reverse its sign
so (-11) changes to (+11) and now we have this equation
y = 15
now you must replace 15 instead of y in second equation ,then we have this equation
15 = 2x + 3
now we have to find x
move (+3) to other side of equation and reverse its sign
(+3) changes to (-3)
we have this equation now
15 - 3 = 2x
12 = 2x
x = 12 ÷ 2 = 6
Solve for w in the proportion 32/40 = 28/w W= ?
32 = 28
40 W
cross multiply so that 32W = (40*28)
then 32W = 1,120
now divide by 32 on both sides
32W = 1,120
32 32
so now it's only W = 1,120/32
which simply equals W = 35
THE FINAL ANSWER IS 35 I suggest you practice this question because throughout your educational career you will need to be able to solve this. Thank me later & good luck
Two litters of a particular rodent species have been born; first with two brownhaired and one gray-haired (litter 1) and the other with three brown-haired and two gray-haired (litter 2). We select a litter at random and then select an offspring at random from the selected litter. (i) What is the probability that the animal chosen is brown-haired
Answer:
The probability that the animal chosen is brown-haired is 0.6333.
Step-by-step explanation:
Denote the events as follows:
A : a brown-haired rodent
B : Litter 1
The information provided is:
\(P (A|B) =\frac{2}{3}\\\\P(A|B^{c})=\frac{3}{5}\)
The probability of selecting any of the two litters is equal, i.e.
\(P(B)=P(B^{c})=\frac{1}{2}\)
According to the law of total probability:
\(P(X)=P(X|Y_{1})P(Y_{1})+P(X|Y_{2})P(Y_{2})+...+P(X|Y_{n})P(Y_{n})\)
Compute the total probability of event A as follows:
\(P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})\)
\(=[\frac{2}{3}\times\frac{1}{2}]+[\frac{3}{5}\times\frac{1}{2}]\\\\=\frac{1}{3}+\frac{3}{10}\\\\=\frac{10+9}{30}\\\\=\frac{19}{30}\\\\=0.6333\)
Thus, the probability that the animal chosen is brown-haired is 0.6333.
What is 15 2/3 divided by 1/3
Answer:
47
Step-by-step explanation:
You divide 3 by 1 and 2 by 3.
What is your country name?
Find the area of the shape shown below.
Answer:
The answer is 32
Step-by-step explanation:
The formula for finding the area of a trapezoid is:
((base 1 + base 2)/ 2 )* h
Now all you have to do is substitute the numbers in.
Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.
Answer:
32 square units
Step-by-step explanation:
\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)
Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.
Here are two methods to make a 3-digit code.
Codes can have repeated digits.
Method A
For the first digit use an odd number between 0 and 10
For the last two digits use a multiple of 11
Method B
Use three digits in the order odd even odd
Do not use the digit zero
How many more codes can be made with method B than with method A?
In your working you must say how many codes can be made with
each method.
We can make 55 more codes in Method B than in Method A. In Method A we can make 45 codes and in Method B we can make 100 codes.
Method A:
For the first odd digit, we can have 1,3,5,7,9
For the last two digit we have options 11,22,33,44,55,66,77,88,99
So, for making the code we have 5 options for the first digit and 9 options for the second and the third digit.
Therefore, if we choose 1 as the first digit, we have 9 options for the second and third digits. Similarly for 3,5,7,9
Hence we will have 45 options in Method A
Method B:
For the first digit, we can have 1,3,5,7,9 as options.
For the second digit, we have 2,4,6,8 as an option
For the third digit, we have 1,3,5,7,9 as an option
Therefore, for the first digit, we have 5 options, the second digit 4 options and 5 options for the third digit.
So, we have 5*4*5 options
Hence, we have 100 options available in Method B
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Use the graph to answer the question. Graph of polygon ABCD with vertices at 1 comma 3, 3 comma negative 1, 7 comma negative 1, 5 comma 3. A second polygon A prime B prime C prime D prime with vertices at negative 5 comma 3, negative 3 comma negative 1, 1 comma negative 1, negative 1 comma 3. Determine the translation used to create the image. 6 units to the right 6 units to the left 2 units to the right 2 units to the left
The translation of the polygon is 6 units to the left
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
Given data ,
Let the polygon be represented as ABCD
Now , the coordinates of the polygon is given as
The coordinate of A = A ( 1 , 3 )
The coordinate of B = B ( 3 , -1 )
The coordinate of C = C ( 7 , -1 )
The coordinate of D = D ( 5 , 3 )
Now , the translated polygon is having the coordinates as
The coordinate of A' = A' ( -5 , 3 )
The coordinate of B' = B' ( -3 , -1 )
The coordinate of C' = C' ( 1 , -1 )
The coordinate of D' = D' ( -1 , 3 )
So , the translation rule is ( x , y ) → ( x - 6 , y )
And , the figure is translated 6 units to the left
Hence , the translation is 6 units to the left
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3. The t test for two independent samples - Two-tailed example
“Bullying,” according to noted expert Dan Olweus, “poisons the educational environment and affects the learning of every child.” Bullying and victimization are evident as early as preschool, with the problem peaking in middle school. Suppose you are interested in the emotional well-being of not only the victims but also bystanders, bullies, and those who bully but who are also victims (bully-victims). You decide to measure depression in a group of victims and a group of bully-victims using a 26-item, 3-point depression scale. Assume scores on the depression scale are normally distributed and that the variances of the depression scores are the same among victims and bully-victims.
The group of 30 victims scored an average of 21.5 with a sample standard deviation of 10 on the depression scale. The group of 27 bully-victims scored an average of 25.8 with a sample standard deviation of 9 on the same scale. You do not have any presupposed assumptions about whether victims or bully-victims will be more depressed, so you formulate the null and alternative hypotheses as:
H0
: μvictims
– μbully-victims
= 0
H1
: μvictims
– μbully-victims
≠ 0
You conduct an independent-measures t test. Given your null and alternative hypotheses, this is a test. To use the Distributions tool to find the rejection region, you first need to set the degrees of freedom. The degrees of freedom is .
The critical t-scores that form the boundaries of the rejection region for α = 0.01 are ± .
In order to calculate the t statistic, you first need to calculate the standard error under the assumption that the null hypothesis is true. In order to calculate the standard error, you first need to calculate the pooled variance. The pooled variance is s2p
= . The standard error is s(M1 – M2)
= .
The t statistic is .
The t statistic in the rejection region. Therefore, the null hypothesis is . You conclude that victims have a different mean depression score than bully-victims. Thus, it can be said that these two means are different from one another.
The test statistics do not lie in the rejection so the null hypothesis does not reject.
How to solveHere we have the following information:
\(\bar{x}_{1}=25.3, n_{1}=25, s_{1}=9, \bar{x}_{2}=20.5, n_{2}=23, s_{2}=8\)
Here degree of feedom will be
\(df=n_{1}+n_{2}-2=25+23-2=46\)
The critical values of t are: +/- 2.687
Rejection region:
If t < -2.687 and t > 2.687, reject H0
Pooled variance is :
\(s^{2}_{p}=\frac{(n_{1}-1)s_{1}^{2}+\left ( n_{2}-1 \right )s_{2}^{2}}{n_{1}+n_{2}-2}=72.8696\)
The standard error is
\(s_{M_{1}-M_{2}}=s_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}=2.4664\)
and t-statistics will be
\(t=\frac{\bar{x}_{1}-\bar{x}_{2}}{s_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}}=1.946\)
The test statistics do not lie in the rejection so the null hypothesis does not reject.
You cannot conclude...
not
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HURRY Given f(x) = - 3/4x + 2, find ƒ(16). The solution is
Answer: Read attachment.
Step-by-step explanation: Attached is my work. Hope it helps!
If my answer was helpful, please mark as brainliest. Or not, it's fine.
Answer:
\(\fbox {f(16) = -10}\)
Step-by-step explanation:
Given :
f(x) = -3/4x + 2
Substitute x = 16 :
f(16) = -3/4(16) + 2
f(16) = -12 + 2
f(16) = -10
Find a degree 3 polynomial with real coefficients having zeros 3 and 1 − 4i and a lead coefficient of 1. Write P in expanded form.
\(\text{Let,}\\\\~~~~~~~x=1-4i,\\\\\implies x-1 = -4i\\ \\\implies (x-1)^2 =(-4i)^2\\\\\implies x^2 -2x +1 = -16\\\\\implies x^2 -2x +1 +16 = 0\\\\\implies x^2 -2x +17=0\\\\\text{So,}~ x^2 -2x +17 ~\text{is a factor of the 3 degree polynomial.}\\ \\\text{The polynomial is,}\\\\P(x) = (x-3)(x^2 -2x +17)\\\\~~~~~~~=x^3-2x^2+17x -3x^2 +6x -51\\\\~~~~~~~=x^3 -5x^2 +23x -51\)
Tammy writes the equation -1 / 8 = -1/8. Is she correct? Explain.
moses is inviting 10 friends to a party each friend wants 4 cookies and each box has 10 cookies how many boxes should moses get?
Answer:
4
Step-by-step explanation:
Since each friend wants 4 cookies, and there are 10 friends, there are 10 x 4 = 40 cookies total Moses should buy. Since each cookie box has 10 cookies in it, he should buy 40/10 = 4 total cookie boxes.
Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next
The correct answer is (j - k)(x) = 10 + x.
To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).
(j - k)(x) = (25 + 3x) - (15 + 2x)
= 25 - 15 + 3x - 2x
= 10 + x
This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.
Therefore, the correct function is (j - k)(x) = 10 + x.
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6. P=..
A 2!/3! B. 71/4! C. 7!/(4! 3!) D. 41/7! E. 31/7!
Given the function;
\(y=\frac{2}{3}\cos (\frac{4}{7}x)+2\)\(\begin{gathered} \text{But the frequency f is given as;} \\ f=\frac{2\pi}{T} \\ \text{Where T is the period} \\ f=\frac{4}{7} \end{gathered}\)\(\begin{gathered} \frac{4}{7}=\frac{2\pi}{T} \\ 4T=14\pi \\ T=\frac{14\pi}{4} \\ T=\frac{7\pi}{2} \\ \end{gathered}\)CORRECT OPTION: A
Find the coordinates of the image after a translation of the figure below using (x,y) → (x+3, y + 2).
YA
10
9
8
7
16
5
4
3
B
1
-10-9-8-7 -6 -5 4 3
1
2
3
45
6 7
89
10
3
А
4
D
-5
-8
19
-10
Al
B'(
C'(
Answer:
A(-3,-4)
B(-1,1)
C(3,5)
D(2,-5)
Step-by-step explanation:
if you have any questions about it dont hesitate to ask me
. The length of a rectangle is represented by 4x and the width by 2x + 1 Determine the perimeter of the rectangle as a simplified expression in standard form. (hint: perimeter=2w+21)
The perimeter of the rectangle can be expressed as 12x+2
What is perimeter of a rectangle?The perimeter of a rectangle is the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides.
The perimeter of a rectangle is given as 2(l+w)
where l is the length and w is the width.
If the length is represented by 4x and width by 2x+1, therefore the perimeter of the rectangle = 2(4x+2x+1)
= 2( 6x+1)
= 12x+2
the perimeter can also be found by adding all the four sides, this means that
perimeter = 4x+4x+2x+1+2x+1=8x+4x+2= 12x+2
therefore the perimeter of the rectangle is 12x+2.
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On May 20, White Repair Service extended an offer of $108,000 for land that had been priced for sale at $140,000. On May 30, White Repair Service accepted the seller's counteroffer of $120,000. On June 20, the land was assessed at a value of $95,000 for property tax purposes. On July 4, White Repair Service was offered $150,000 for the land by a national retail chain. At what value should the land be recorded in White Repair Service's records?
The value the land should be recorded in white repair service's records is $95,000.
It is required to find the value should the land be recorded in White Repair Service's records.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both
Given:
On May 20, White Repair Service extended an offer of $108,000 for land
sale = $140,000.
On May 30, White Repair Service accepted the seller's counteroffer of $120,000.
On June 20, the land was assessed at a value of $95,000 for property tax purposes.
On July 4, White Repair Service was offered $150,000 for the land by a national retail chain.
Cost basis is the original value of an asset for tax purposes, usually the purchase price, adjusted for stock splits, dividends, and return of capital distributions. This value is used to determine the capital gain, which is equal to the difference between the asset's cost basis and the current market value.
Therefore, the value the land should be recorded in white repair service's records is $95,000.
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Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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solve the following Simultaneous equation
Using any suitable method
x+6y=2, 3x +2y =10
Answer:
x = 0.5
y = -1/4 or -0.25
Step-by-step explanation:
x + 6y = 2
3x + 2y = 10
Multiply a number by any of the equations to get numbers of the same variable
3x + 18y = 6
3x + 2y = 10
3x - 3x = 0
NB: subtract evenly if u subtract down from top make sure u subtract down from top throughout
16y = -4
16y/16 = -4/16
y = -1/4 or -0.25
to find the x value, any where you see y u put in the y value(-0.25)
So u'll pick just one of the equations above
x + 6(0.25) = 2
x + 1.5 = 2
x = 1.5 + 2
x = 0.5
PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=
Rewrite 14 1/3 as an improper fraction
Answer:
Step-by-step explanation:
((14×3) + 1 )/3 = (43/3)
14 1/3 can be expressed as 43/3, which is an improper fraction.
To rewrite 14 1/3 as an improper fraction, we need to convert the mixed number into a fraction.
First, we multiply the whole number (14) by the denominator of the fraction (3) and add the numerator (1). This gives us the numerator of the improper fraction. The denominator remains the same.
14 × 3 = 42
Next, we add the numerator (1) to the result we obtained above.
42 + 1 = 43
Therefore, the improper fraction equivalent to 14 1/3 is 43/3.
In the fraction 43/3, the numerator (43) represents the total number of parts we have, and the denominator (3) represents the size of each part. It indicates that we have 43 equal parts of size 1/3.
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Kevin measured how many times he arrived to work late if he took subway. the results are provided in the following table. Find the probability that Kevin will arrive on-time tomorrow if he plans to take subway. (round the answer to 2 decimal places)
ANSWER
86.67%
EXPLANATION
We want to find the probability that Kevin will arrive on time if he plans to take the subway.
To find this, we have to divide the number of times that Kevin was on-time by the total number of times that he took the measurement.
We have that out of 30 days that Kevin was on-time on 26 occasions.
Therefore, the probability that Kevin will arrive on-time the next day is:
\(\begin{gathered} P(on-\text{time) = }\frac{26}{30}\text{ = }\frac{13}{15} \\ P(on-\text{time) = 86.67\%} \end{gathered}\)That is the answer.
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
A coordinate plane with points at negative 4 comma 4, negative 2 comma 0, 0 comma negative 3, 3 comma 1, and 5 comma negative 2.
What is the domain of the relation?
{−4, −3, −2, 0, 1, 3, 4, 5}
{−4, −2, 0, 3, 5}
{−3, −2, 0, 1, 4}
{0, 3, 4, 5}
The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.
How to determine domain relation?The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.
Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.
Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.
Hence, the correct option is {−4, −2, 0, 3, 5}.
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. Why is the following arrangment of squares not an array?
When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.
An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.
When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.
For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.
Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.
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p-25=16
\(its \: pretty \: easy \: n \\ boys\)
thank you for helping
SHOW WORK
How do I find the gif and distributive property
By using the GCF and distributive property, the sum of 15+27 = 42
The expression is
15 + 27
GCF is the greatest common factor, the greatest common factor is the highest number that divides exactly into two or more numbers.
The distributive property states that multiplying the sum of two or more variables by a number will produce the same result as multiplying each variables individually by the number and then adding the products together.
The expression is
= 15 + 27
= 3(5 + 9)
= 3 × 14
= 42
Hence, by using the GCF and distributive property, the sum of 15 + 27 = 42
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One way to calculate the tax is 0.05(50+40).
Use the order of operations to evaluate this expression
If M= {m, a,t} how many subsets of M are there?
Answer:
8 {m},{a},{t},{m,a},{m,t},{a,t},{m,a,t},{}