Answer:
-3,-6
Step-by-step explanation:
(x+x)/2,(y+y)/2=midpoint
(-4+-2)/2,(-2+-10)/2=(-3,-6)
Answer=(-3,-6)
Answer: negative 3 comma and negative 6
Step-by-step explanation:
The product of x and three is negative-27. What is x?
Answer:
The count of variables 5 (d,f,i,n,x) is different from the number of equations 1.
Step-by-step explanation:
44 sit-ups in 4 days =
sit-ups per day
Answer:
11 sit ups per day
Step-by-step explanation:
because 44/4 = 11
Answer:
11sit ups each day
Step-by-step explanation:
divide 44by 4
find the best estimate for the unicity distance for affine cipher. group of answer choices 1.33 2.35 3.33 2.66 1.75
The closest answer choice to this value is option 1, 33. Therefore, the best estimate for the unicity distance for an affine cipher is 33.
To find the best estimate for the unicity distance for an affine cipher, we can use the following formula:
Unicity Distance (U) = (keyspace / entropy) × log2(1 / redundancy).
Given the answer choices:
1. 33
2. 35
3. 33
4. 26
5. 17.5
For an affine cipher, the keyspace is 26^2 (since there are 26 possibilities for both 'a' and 'b' in the equation
y = (ax + b) mod 26).
The entropy of English text is roughly 1.5 bits/character, and the redundancy is approximately 0.7.
Using the formula, we have:
U = (26^2 / 1.5) × log2(1 / 0.7)
U ≈ 33.49
Therefore, the best estimate for the unicity distance for an affine cipher is 33.
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A woman invetsed $9000 in two mutual funds. in one year of her investment earned 5% simple interest and the other part earned 8% simple interest. at the end of that year, the woman had $627. how much did she invest at each rate?
Now, let's calculate the interest earned on each investment. The interest earned on the investment at 8% interest rate.
Since the total interest earned is $627, we can write the equation:
0.05x + 0.08($9000 - x) = $627
Simplifying the equation, we get:\(0.05x + 0.08*$9000 - 0.08x = $6270.08*$9000 - 0.03x = $627720 - 0.03x = $627-0.03x = $627 - $720-0.03x = -$93x = ($93) / (-0.03)x = $3100\)
To solve this problem, let's assume the amount invested at 5% interest rate is x and the amount invested at 8% interest rate is
$9000 - x
(since the total investment is $9000).
So, the woman invested $3100 at 5% interest rate and
$9000 - $3100
= $5900 at
8% interest rate.
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She invested approximately $95.88 at a 5% interest rate and $8904.12 at an 8% interest rate.
To find out how much the woman invested at each interest rate, let's break down the problem.
Let's say she invested x amount at 5% interest and (9000 - x) at 8% interest.
At the end of the year, the interest earned on the first investment is 5% of x, which is 0.05x.
Similarly, the interest earned on the second investment is 8% of (9000 - x), which is 0.08(9000 - x).
The total amount the woman had at the end of the year is $627, which can be expressed as:
x + (9000 - x) + 0.05x + 0.08(9000 - x) = 627
Simplifying this equation, we can solve for x:
1.05x + 720 - 0.08x = 627
Combining like terms:
0.97x + 720 = 627
Subtracting 720 from both sides:
0.97x = 627 - 720
0.97x = -93
Dividing both sides by 0.97:
x = -93 / 0.97
Solving for x, we find that she invested approximately $95.88 at 5% interest.
To find the amount she invested at 8% interest, subtracting x from the total investment amount:
9000 - x = 9000 - 95.88 = $8904.12
Therefore, she invested approximately $95.88 at 5% interest and $8904.12 at 8% interest.
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plssssssssssssssssss
Answer:
1. RQP
2. QOP
Step-by-step explanation:
the answer for the first question is RQP and the answer for the second question is QOP
Answer:
i)PQO
ii)QOP
Step-by-step explanation:
helppppppppppppppppppppp
If we know the distance of an object from earth, we can determine the size of the object by measuring its parallax. True or false?.
False, If we know the distance of an object from earth, we can determine the size of the object by measuring its parallax.
The size of an object can be calculated by measuring its parallax if we know how far it is from Earth. According to the heliocentric theory of the universe, Earth is the center of the universe, and everything else revolves around it. A planet's speed is unaffected by the location of the planet within its orbit.
What is parallax explain?
Particularly: the angular difference in direction of a celestial body as measured from two places in the earth's orbit. the apparent displacement or the difference in apparent direction of an object as observed from two separate points that are not on a straight line with the object.Learn more about parallax
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In a short sentences please, Prove that the sum of two rational numbers is rational. THANK YOU!!!
The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.
How does this work?A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.
When we add two rational numbers together, we can use the following formula:
a/b + c/d = (ad + bc) / bd
where a, b, c, and d are integers and b and d are not equal to zero.
This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.
For example, if we want to add 1/2 and 2/3 together, we can use the formula above:
1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6
Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.
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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).
If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.
There are 50 students in a class.Can the teacher make them sit in a rows of having six students in each row? Solve this question using divisibility test.
Given:
Total student = 50
each row has 6 students.
Find-:
Solve the question using the divisibility test.
Sol:
In row six student
then:
\(\begin{gathered} =\frac{50}{6} \\ \\ =8.333 \end{gathered}\)So a total of 8.33 rows in a class.
Finding the standard deviation round answer two decimal places when necessary
Answer:
\(\begin{equation*} SD=1.55 \end{equation*}\)Step-by-step explanation:
The standard deviation of a data set is represented by the following equation:
\(\begin{gathered} SD=\sqrt{\frac{\sum_^\lvert{x_i-\bar{x}}\rvert^2}{n}} \\ where, \\ x_i=\text{ represent each number in the data set} \\ \bar{x}=\text{ mean} \\ n=\text{ number of elements in the data set} \end{gathered}\)Therefore, for the given sample:
\(\begin{gathered} 6,10,6,6,7 \\ \text{ mean=}\frac{6+10+6+6+7}{5} \\ \text{ mean=7} \end{gathered}\)For each data point, find the square of its distance to the mean.
\(\begin{gathered} \sum_^\lvert x_i-\bar{x}\lvert{}^2=(6-7)^2+(10-7)^2+(6-7)^2+(6-7)^2+(7-7)^2 \\ \sum_^\lvert x_i-\bar{x}\lvert{}^2=12 \end{gathered}\)Now, solving for the standard deviation:
\(\begin{gathered} SD=\sqrt{\frac{12}{5}} \\ SD=1.55 \end{gathered}\)Tanya made this graph that represents the total cost for each of the three locations. Depending on the number of students that attend. Which function represents the cost of the restaurant 
The functions that represents the cost are
(a) y = 8800, (b) y = 1900 + 4/7x and (c) y = 4800, x ≤ 150; y = 1200 + 24x x > 150
Identifying the function that represents the costFrom the question, we have the following parameters that can be used in our computation:
The graph
The function (a) is a horizontal line that passes through y = 8800
So, the function is
y = 8800
The function (b) is a linear function that passes through
(0, 1900) and (175, 2000)
So, the function is
y = 1900 + 4/7x
The function c is a piecewise function with the following properties
Horizontal line of y = 4800 uptill x = 150Linear function of (150, 4800) and (200, 6000)So, the function is
y = 4800, x ≤ 150
y = 1200 + 24x x > 150
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what is the derivative of ( 2w^2+1 ) ?
If you know about the power rule,
d/dw (2w² + 1) = 2 d/dw (w²) = 2 • 2w = 4w
If you have to use the limit definition of the derivative, let f(w) = 2w² + 1. Then
\(f'(w)=\displaystyle\lim_{h\to0}\frac{f(w+h)-f(w)}h\)
\(f'(w)=\displaystyle\lim_{h\to0}\frac{(2(w+h)^2+1)-(2w^2+1)}h\)
\(f'(w)=\displaystyle\lim_{h\to0}\frac{2(w^2+2wh+h^2)-2w^2}h\)
\(f'(w)=\displaystyle\lim_{h\to0}\frac{4wh+2h^2}h\)
\(f'(w)=\displaystyle\lim_{h\to0}(4w+2h)=\boxed{4w}\)
a full matchbox contains x matches. A man has three full matchboxes and a matchbox containing y matches. How many matches does he have altogether?.
Answer:
3x+y = total matches
Step-by-step explanation:
hope it helps
Answer:
3y+x is the amount of matches
The equation cannot be simplified any further without providing more information.
Cuánto es?
35
— –1
10
Answer:
145
Step-by-step explanation:
Cuánto es means what is the answer
35 - (-110)
Two negative signs equal a positive sign
35 + 110 = 145
Solve the following proportion for x 7/8=x/9 round Your Answer to the nearest tenth
The value of the x is 7.9
What is proportion?
Two ratios are set to be equal in an equation called a proportion.
Given, \(\frac{7}{8} = \frac{x}{9}\)
or, 8x = 9*7
or, 8x = 63
or, x = 63/8
or, x = 7.875 = 7.9 (rounded to the nearest tenth)
Therefore, the required value of x is 7.9
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Is 36a + 24 equivalent to 4(9a + 6)
True
False
Answer:
True!!
4(9a+6) using the distributive property is 36a+24
Step-by-step explanation:
Answer:
True.
Step-by-step explanation:
We have a 4, next to an (.
We multiply the four.
\(4\)×\(9a\)
4×\(6\)
= 36a+6
in a certain board game, a player rolls two fair six-sided dice until the player rolls doubles (where the value on each die is the same). the probability of rolling doubles with one roll of two fair six-sided dice is 16. what is the probability that it takes three rolls until the player rolls doubles? responses
The probability of rolling doubles with three rolls of two fair six-sided dice is 0.512.
The probability of rolling doubles with one roll of two fair six-sided dice is 16/36, or 1/6. This means that the probability of not rolling doubles with a single roll is 5/6.
The probability of not rolling doubles with two rolls is (5/6)^2, or 25/36.
The probability of not rolling doubles with three rolls is (5/6)^3, or 125/216.
Therefore, the probability of rolling doubles with three rolls of two fair six-sided dice is (216-125)/216, or 91/216, or 0.512.
P(doubles on 1 roll) = 1/6
P(not doubles on 2 rolls) = (5/6)^2 = 25/36
P(not doubles on 3 rolls) = (5/6)^3 = 125/216
P(doubles on 3 rolls) = 1 - (125/216) = 91/216 = 0.512
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PLEASE HELP The approximate volume of a cylindrical fish tank is 50.27 ft^3. If the fish tank is 4 feet tall, what would the diameter of the base of the fish tank be?
(*hint diameter is twice the radius)
Answer:
4ft
Step-by-step explanation:
The volume of a cylinder is
v=\(\pi r^{2} h\)
If we put 50.27 in for the volume and 4 in for the height, we get a radius of 2. This makes a diameter of 4.
Which of the following inequalities is true?
Answer:
B is correct.
Step-by-step explanation:
On number line and sequencing also, -3 is less than -2.
Answer:
b is correct -2 is less than-3
The surface area of a cone is about 64 square meters. The radius of base is 2 meters. What is the slant height?
Answer:
Step-by-step explanation:
L is the slant height
area of base = 4π m²
lateral area = surface area - base area = 64-4π
πrL = 64-4π
L = (64-4π)/(2π) = 8.2 m
What is the median of this set of data?
362, 187.211,298,331,250, 347, 199
Answer:
274
Step-by-step explanation:
187, 199, 211, 250, 298, 331, 347, 362 <<< First order least to greatest
187, 199, 211, 250, 298, 331, 347, 362 <<< Since there are an even amount of terms, take the middle TWO numbers
(250+298)/2 = 548/2 = 274 <<< Take the mean of the two numbers
Your final answer is 274!
Hope this helps!
Answer:
274
Step-by-step explanation:
1.Arrange your numbers in numerical order.
2.Count how many numbers you have.
3.If you have an odd number, divide by 2 and round up to get the position of the median number.
4.If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Pls help me no files just type it in thank yiu>333<33
Answer:
\(\frac{7}{12}\)
Step-by-step explanation:
You don't need to add the denominators just add the numerators
7/12
Denomenater is same so u can just add it
thank you
Part 1 of 2 Question content area top Part 1 Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $. The price of car A is $. a. Assuming that you do not know which model is more expensive, write an absolute value inequality that describes this situation. Use x for the price of car B. b. What are the possibilities for the price of car B?
Considering the given situation, it is found that:
a. The absolute value inequality is: |x - 131745| > 15000.
b. The possibilities for the price of car B are of x < $116,745 or x > x > $146,745.
What is the absolute value function?The absolute value function is defined by the following piecewise rule, depending on the input of the function:
|x| = x, x ≥ 0.|x| = -x, x < 0.It gives the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.
In this problem, the difference between the price of car B of x and the price of car A of $131,745 is greater than $15,000, hence the absolute value inequality that models this situation is:
|x - 131745| > 15000.
Hence the possibilities for the price of car B are:
x - 131745 < -15000 -> x < -15000 + 131745 -> x < $116,745.x - 131745 > 15000 -> x > 131745 + 15000 -> x > $146,745.What is the missing information?The complete problem is given by:
"Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $15,000. The price of car A is $131,745. a. Assuming that you do not know which model is more expensive, write an absolute value inequality that describes this situation. Use x for the cost of car B. b. What are the possibilities for the price of car B?"
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12 1/2 divided by 5 1/2
Answer:
25/11
Step-by-step explanation:
Convert to improper fractions
25/2 ÷ 11/2
take reciprocal of divisor and multiply
25/2 x 2/11
50/22
25/11
What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 –8 –5 0 6.
By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is \(\frac{5y_2+y_1}{6}\)
What is section formula ?Let point P(x,y) cuts line joining point \(A(x_1,y_1)\) and \(B(x_2,y_2)\) in \(m_1:m_2\) then coordinate of point P is equal to \((\frac{m_1x_2+m_2x_1}{m_1+m_2}, \frac{m_1y_2+m_2y_1}{m_1+m_2})\)
Here given that point divides line segment from J to K into a ratio 5:1
So
\(m_1=5\\\\m_2=1\)
Now we have to fin y coordinate of point that divides the directed line segment from J to K into a ratio of 5:1
We can calculated y coordinate by applying section formula as :
\(\frac{5y_2+1y_1}{5+1}\\\\\frac{5y_2+y_1}{6}\)
By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is \(\frac{5y_2+y_1}{6}\)
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Answer:
6
Step-by-step explanation:
edg 2022
A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11. The professor has informed us that 8. 75 percent of her students received grades of a. What is the minimum score needed to receive a grade of a?.
The minimum score needed to receive a grade of A is 88.51
Let, X, be the scores of the student's
X follows Normal Distribution with mean = μ = 73 and standard deviation = σ = 11
The professor has informed us that 7.93 percent of her students received grades of A.
That is P( X > a ) = 7.93% = 0.0793 .
We have to find a.
P( X > a ) = 7.93% = 0.0793
So, P( X <= a ) = 1 - 0.0793 = 0.9207
Using function = NORMINV( probability , μ ,σ )
a = NORMINV( 0.9207, 73 , 11 ) = 88.51
The minimum score needed to receive a grade of A is 88.51
We have to find P( X <= 57.93 )
Using function = NORMDIST( x, μ , σ , 1 )
P( X <= 57.93 ) =NORMDIST( 57.93 , 73 , 11 , 1 ) = 0.0853 = 8.53%
8.53 percent of students failed the course
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In a city in Ohio, the sales tax rate is 7.25%.
Complete the table to show the sales tax and the total price including tax for each item. Type your answers into the boxes below.
The table for the complete data is,
Item price before tax sale tax price including tax
pillow $8 $0.58 $8.58
blanket $22 $1.59 $23.59
trash can $14.50 $1.051 $15.551
What is sales tax?The mandatory tax imposed on the whole value of the items sold is known as the sales tax. Depending on the type of products sold, different sales tax rates apply.
The final amount of sales tax is added to the sale price of the products in the invoice because it is a charge made to the consumer.
Given the sales tax rate is 7.25%.
sales tax rate = 0.0725
to find sales tax and price including tax,
sales tax = price before tax * sales tax rate
and price including tax = sales tax + price before tax
1: price before tax = $8.00
sales tax = 8*0.0725
sales tax = $0.58
price including tax = 8.00 + .58 = $8.58
2: price before tax = $22.00
sales tax = 22*0.0725
sales tax = $1.59
price including tax = 22.00 + 1.595 = $23.595
3: price before tax = $14.50
sales tax = 14.50*0.0725
sales tax = $1.051
price including tax = 14.50 + 1.051 = $15.551
Hence the table is,
Item price before tax sale tax price including tax
pillow $8 $0.58 $8.58
blanket $22 $1.59 $23.59
trash can $14.50 $1.051 $15.551
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The complete question is in image attached,
the function f(x)=1/2x+3/2 is used to complete this table.
which statements are true if the given function? check all that apply.
f(-1/2)= -2
f(0)=3/2
f(1)= -1
f(2)= 1
f(4)=7/2
9514 1404 393
Answer:
f(0)=3/2f(4)=7/2Step-by-step explanation:
You can read f(0) = 3/2 from the table. The slope is 1/2, so f(4) will be 1 more than f(2): f(4) = 7/2.
Quick question its in the picture explain if u can pls:)
Step-by-step explanation:
\(6g + 4h + g + 7h = \\ = 7g + 11h\)
PLEASE HURRY ⏰ select the 2 missing "X Values" and "Y Values" from the table to complete it Select ALL that apply h(x)= -(1/4)^x
The values for "Y" correspond to the chosen "X" values are \(-0.0625,-0.25,-1,-0.25,-0.0625\)
What are functions?
A function, also known as the domain and the range, is a fundamental idea in mathematics that represents the relationship between two sets of elements. Each element in the domain is paired with a different element in the range.
A function is, more precisely, a rule or a correspondence that links every input value from the domain to precisely one output value from the range. The variable x normally represents the input values, and the variable y or f(x) typically represents the corresponding output values.
A function can be envisioned as a device that accepts an input and outputs a particular result in accordance with the rule or operation specified by the function. Only the input value influences the output, and each
Calculating the corresponding values of "X" and "Y" for each row is necessary to finish the table for the function \(h(x) = -(1/4)x\). I am not able to choose the missing values because the table is not provided. But I can explain to you how to figure out the function's values.
A function that depicts an exponential function is \(h(x) = -(1/4)x\). You can use the provided function to find the values by selecting a range of "X" values and determining the corresponding "Y" values.
Let's pick a range of "X" values from \(-2 to 2\), for illustration:
when \(x = -2:\)
\(h(-2) = -(1/4)^(-2) = -(1/4)^2 = -(1/16) = -0.0625\)
when \(x = -1:\)
\(h(-1) = -(1/4)^{-1} = -(1/4)^1 = -1/4 = -0.25\)
when \(x = 0:\)
\(h(0) = -(1/4)^0 = -1^0 = -1\)
when \(x = 1:\)
\(h(1) = -(1/4)^1 = -1/4 = -0.25\)
when \(x=2:\)
\(h(2) = -(1/4)^2 = -1/16 = -0.0625\)
These are the values for "Y" corresponding to the chosen "X" values. Depending on the table, you can select the appropriate values to complete it.
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