I don't know what the question is, and it looks like you cut off the main question but
53 people paid her in total??
Mrs. Harrison bought a new clothes dryer for $618 the stae sale tax was 7 1/2% what was the total cost
The total cost of the clothes dryer, including the sales tax, is $664.35.
To calculate the total cost, we need to add the purchase price of the clothes dryer to the amount of sales tax applied.
The sales tax is calculated as a percentage of the purchase price. In this case, the sales tax rate is 7.5%.
First, let's calculate the sales tax amount:
Sales Tax = 7.5% of $618
Sales Tax = (7.5/100) * $618
Sales Tax = 0.075 * $618
Sales Tax = $46.35
Next, we add the sales tax to the purchase price to find the total cost:
Total Cost = Purchase Price + Sales Tax
Total Cost = $618 + $46.35
Total Cost = $664.35
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the city sales tax in your city is 4.4% and an item costs $3 before tax
Answer:
$3.13 after you add the tax.
suppose that a randomly generated list of number from 0 to 9 is being used to simulate an event that has a proabbility of success of 70%. which of these groups of numbers could represent a success? (a 0, 1, 2, 3, 4, 5 6, 7.) (b 0, 1 , 2, 3, 4, 5, 6, 7, 8) (c 0, 1, 3. 4, 5) (d 0, 1, 2, 3, 4, 5, 6)
To simulate an event with a probability of success of 70%, we need to choose a group of numbers that represents 70% of the total possible outcomes (0 to 9). Since there are 10 possible outcomes (0-9), we need a group that contains 70% of these outcomes, which means 7 numbers.
Let's examine each group:
(a) 0, 1, 2, 3, 4, 5, 6, 7 - This group contains 8 numbers, representing 80% of the total outcomes. Therefore, it cannot be used to simulate a 70% probability of success.
(b) 0, 1, 2, 3, 4, 5, 6, 7, 8 - This group contains 9 numbers, representing 90% of the total outcomes. Therefore, it cannot be used to simulate a 70% probability of success.
(c) 0, 1, 3, 4, 5 - This group contains 5 numbers, representing 50% of the total outcomes. Therefore, it cannot be used to simulate a 70% probability of success.
(d) 0, 1, 2, 3, 4, 5, 6 - This group contains 7 numbers, representing 70% of the total outcomes. This group can be used to simulate a 70% probability of success.
The correct answer is (d) 0, 1, 2, 3, 4, 5, 6, as it represents 70% of the total outcomes in the randomly generated list of numbers from 0 to 9.
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What is the ratio for cos B?
Answer:
Cos B = \(\frac{3}{5}\)
Step-by-step explanation:
Cos B = \(\frac{adjacent}{hypotenuse}\)
Cos B = \(\frac{48}{80}\)
In simplified form
Cos B = \(\frac{3}{5}\)
I need the answers to this question. Someone pleaseeeeeee help
Answer:
C
Step-by-step explanation:
Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet, the other height and base of 8 feet, and one rectangle measuring 35 feet by 8 feet.
Answer:
Step-by-step explanation:
700.5
The function f is defined by the following rule
f (x) - 5+1
Complete the function table.
-5
-1
0
2
3
Answer:
The answer to your question is given below.
Step-by-step explanation:
1. f(x) = 5x + 1
x = – 5
f(x) = 5x + 1
f(–5) = 5(–5) + 1
f(–5) = –25 + 1
f(–5) = –24
2. f(x) = 5x + 1
x = – 1
f(x) = 5x + 1
f(–1) = 5(–1) + 1
f(–1) = –5 + 1
f(–1) = – 4
3. f(x) = 5x + 1
x = 1
f(x) = 5x + 1
f(1) = 5(1) + 1
f(1) = 5 + 1
f(1) = 6
4. f(x) = 5x + 1
x = 2
f(x) = 5x + 1
f(2) = 5(2) + 1
f(2) = 10 + 1
f(2) = 11
5. f(x) = 5x + 1
x = 2
f(x) = 5x + 1
f(3) = 5(3) + 1
f(3) = 15 + 1
f(3) = 16
Summary
x >>>>>>>> f(x)
–5 >>>>>> – 24
–1 >>>>>> – 4
1 >>>>>>>> 6
2 >>>>>>> 11
3 >>>>>>> 16
Pencils are sold in boxes of 10
Erasers are sold in boxes of 14
A teacher wants to buy the same number of pencils and erasers.
Work out the smallest number of boxes of each item she should buy.
Answer: 7 pencil boxes, and 5 eraser boxes
Step-by-step explanation: They work out to 70 of each.
Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
∫x3−5x2+2/x−5dx
To find the indefinite integral of the given function, we need to use the method of partial fractions. First, we factor the denominator:
x-5 = 0
x = 5
Therefore, x-5 is a linear factor, and we can write:
(x^3 - 5x^2 + 2) / (x-5) = Ax^2 + Bx + C + D/(x-5)
where A, B, C, and D are constants that we need to find. To do this, we can multiply both sides by (x-5) and then substitute x=5 to get:
A(5)^2 + B(5) + C + D/(5-5) = 5^3 - 5(5)^2 + 2
This simplifies to:
25A + 5B + C = 108
Next, we can differentiate both sides of the partial fraction equation to get:
x^3 - 5x^2 + 2 = (Ax^2 + Bx + C)(x-5) + D
Expanding and equating coefficients, we get:
A = 1, B = -10, C = 23, D = -113
Therefore, we can write:
∫x^3−5x^2+2/(x−5) dx = ∫(x^2 - 10x + 23) dx - ∫(113/(x-5)) dx
The first integral can be evaluated using the power rule:
∫(x^2 - 10x + 23) dx = (1/3)x^3 - 5x^2 + 23x + C1
where C1 is the constant of integration.
For the second integral, we need to use the logarithmic rule:
∫(113/(x-5)) dx = 113 ln|x-5| + C2
where C2 is the constant of integration. Note that we need to include the absolute value of x-5 to account for the fact that the denominator can be negative for some values of x.
Therefore, the final answer is:
∫x^3−5x^2+2/(x−5) dx = (1/3)x^3 - 5x^2 + 23x + 113 ln|x-5| + C
where C is the constant of integration.
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Given: 9x>-36.
Choose the solution set.
O [xlx>-4)
O'{x1x<-4}
O [xlx>4)
O [xlx<4)
The formula for the volume V of a cylinder is LaTeX: V=\pi r^2hV = π r 2 h, where r is the radius of the base and h is the height of the cylinder. Select the formula for h. Then select the height of a cylinder with a volume of LaTeX: 36\pi36 π cm3 and a base with a radius of 3 cm. Group of answer choices LaTeX: h=V-\pi r^2 h = V − π r 2 h = V − π r 2 LaTeX: h=\frac{V}{\pi r^2} h = V π r 2 h = V π r 2 LaTeX: h=\frac{\pi r^2}{V} h = π r 2 V h = π r 2 V LaTeX: h=1\:cm h = 1 c m h = 1 c m LaTeX: h=8\:cm h = 8 c m h = 8 c m LaTeX: h=4\:cm
Answer: Option B, i.e., \(h=\dfrac{V}{\pi r^2}\)
Option C, i.e., \(h=4\text{ cm}\).
Step-by-step explanation:
It is given that formula for the volume V of a cylinder is
\(V=\pi r^2h\)
We need to find the formula for h.
Divide both sides by \(\pi r^2\).
\(\dfrac{V}{\pi r^2}=h\)
\(h=\dfrac{V}{\pi r^2}\)
Therefore, the required formula for height is \(h=\dfrac{V}{\pi r^2}\). Hence option B is correct.
If volume is 36π cm³ and base with a radius of 3 cm, then height of the cylinder is
\(h=\dfrac{36\pi}{\pi (3)^2}\)
\(h=\dfrac{36}{9}\)
\(h=4\text{ cm}\)
Therefore, the height of a cylinder is 4 cm. Hence option C is correct.
Transform y = cot(x) to get the graph of. Which type of transformation is not performed? vertical shift horizontal shift vertical stretch horizontal stretch.
Transformation involves changing the form of the function
The transformation that is not performed is (a) vertical shift
The function is given as:
\(\mathbf{y = cot(x)}\)
From the complete question, the transformed function is:
\(\mathbf{y=3cot[\frac 15(x+2)]}\)
On y = cot(x); start by translating the function 2 units left.
The rule of this transformation is:
\(\mathbf{(x,y) \to (x +2,y)}\)
So, we have:
\(\mathbf{y = cot(x + 2)}\)
Next, stretch the function horizontally by a factor of 1/5
The rule of this transformation is:
\(\mathbf{(x,y) \to (\frac 15x,y)}\)
So, we have:
\(\mathbf{y=cot[\frac 15(x+2)]}\)
Lastly, stretch the function vertically by a factor of 3
The rule of this transformation is:
\(\mathbf{(x,y) \to (x,3y)}\)
So, we have:
\(\mathbf{y=3cot[\frac 15(x+2)]}\)
From the above transformations, we have:
Horizontal shift Vertical stretch Horizontal stretchHence, the transformation that is not performed is (a) vertical shift
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Answer:
vertical shift
Step-by-step explanation:
edge
A book has n typographical errors. Two proofreaders, A and B independently read the book and check for errors. A catches each error with probability p1 independently. Likewise for B, who has probability p2 of catching any given error. Let X1 be the number of typos caught by A,X2 be the number caught by B, and X be the number caught by at least one of the two proofreaders. (a) Find the distribution of X. (b) Find E(X). (c) Assuming that p1=p2=p, find the conditional distribution of X1 given that X1+X2=m.
The denominator can be calculated as the sum of the probabilities of all possible cases where X1 + X2 = m:
P(X1 + X2 = m) = Σ(P(X1 = k, X2 = m - k)), for k = 0 to m
We obtain the conditional distribution P(X1 = k | X1 + X2 = m) for k = 0 to m.
(a) To find the distribution of X, we can consider the cases where A catches k errors and B catches (X - k) errors, for k = 0 to X. The probability of A catching k errors is given by the binomial distribution:
P(X1 = k) = C(X, k) * p1^k * (1 - p1)^(X - k)
Similarly, the probability of B catching (X - k) errors is:
P(X2 = X - k) = C(X, X - k) * p2^(X - k) * (1 - p2)^(X - (X - k))
Since X is the number caught by at least one of the two proofreaders, the distribution of X is given by the sum of the
probabilities for each k:
P(X = x) = P(X1 = x) + P(X2 = x), for x = 0 to X
(b) To find E(X), we can sum the product of each possible value of X and its corresponding probability:
E(X) = Σ(x * P(X = x)), for x = 0 to X
(c) Assuming p1 = p2 = p, we can find the conditional distribution of X1 given that X1 + X2 = m using the concept of conditional probability. Let's denote X1 + X2 = m as event M.
P(X1 = k | M) = P(X1 = k and X1 + X2 = m) / P(X1 + X2 = m)
To find the numerator, we need to consider the cases where X1 = k and X1 + X2 = m:
P(X1 = k and X1 + X2 = m) = P(X1 = k, X2 = m - k)
Using the same logic as in part (a), we can calculate the probabilities P(X1 = k) and P(X2 = m - k) with p1 = p2 = p.
Finally, the denominator can be calculated as the sum of the probabilities of all possible cases where X1 + X2 = m:
P(X1 + X2 = m) = Σ(P(X1 = k, X2 = m - k)), for k = 0 to m
Thus, we obtain the conditional distribution P(X1 = k | X1 + X2 = m) for k = 0 to m.
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I’m honestly confused I will mark Brainliest
Answer:
28 units !
brainliest please.
Step-by-step explanation:
Answer:
502.4 units³
Step-by-step explanation:
Volume of a cylinder = π r² h
where r is the base radiush is the height of the cylinder\(volume \: = 3.14 \times {4}^{2} \times 10 \\ volume \: = 3.14 \times 16 \times 10 \\ volume \: = 502.4 \: {unit}^{3} \)a triangle is inscribed inside a circle. one vertex of the triangle is at the center of the circle, and the other two vertices are on the circle. if the angle at the center of the circle measures 80 degrees, what is the measurement of one other angle?
Answer:
50 degrees--------------------
The two sides are of same length as radius, hence it is isosceles triangle.
Find the measure x of other two angles using the triangle sum theorem:
2x + 80 = 1802x = 100x = 50Use the two point (0,9) and (8,5) to write the equation in slope-intercept form.
Answer:
y = -1/2x + 9
Step-by-step explanation:
(0, 9) and (8, 5)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(5 - 9) / (8 - 0)
Simplify the parentheses.
= (-4) / (8)
Simplify the fraction.
-4/8
= -1/2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (8, 5). Plug in the x and y values into the x and y of the standard equation.
5 = -1/2(8) + b
To find b, multiply the slope and the input of x(8)
5 = -4 + b
Now, add 4 to both sides to isolate b.
9 = b
Plug this into your standard equation.
y = -1/2x + 9
This is your equation.
Check this by plugging in the other point you have not checked yet (0, 9).
y = -1/2x + 9
9 = -1/2(0) + 9
9 = 0 + 9
9 = 9
Your equation is correct.
Hope this helps!
solve for z
z/3 = 5
z=?
/= the fraction sign i couldnt figure out how to use the accaul fraction tme
Answer:
z=15
Step-by-step explanation:
\(\frac{z}{3} =5\)The fraction can also be written as:
z÷3=5So multiply 3 on each side to isolate z
z=15
I WILL BRAINLIEST!!!!!!!10 points
Answer:
16
Step-by-step explanation:
1/64 gallon per 1/4 mile
(Times both by four)
1/16 gallon per mile.
So it can go 16 miles on one gallon.
A line passes through the point (-9,1) and has a slope of -2/3
Answer:
y - 1 = (-2/3)(x + 9)
Step-by-step explanation:
Here you are given a point on a line and the slope of the line. You'll need to apply the "point-slope" formula
y - k = m(x - h) (Memorize this)
Then m = slope = -2/3, h = -9 and k = 1.
Making the appropriate substitutions, we get:
y - 1 = (-2/3)(x + 9)
What your favorite movie? also what is 144/6
Answer:
144/6 is 24 and my fav movie is coraline
Step-by-step explanation:
Write an
equation of a line with the given slope and y-intercept.
m=-2, b=3
Answer:
y=-2x+3
Step-by-step explanation:
y=mx+b
m=-2,b=3
so, y=-2x+3
hopes this helps
Fill in the missing work and justification for step 3 when solving 2(x 1) = 10. step work justification 1 2(x 1) = 10 given 2 2x 2 = 10 distributive property 3 4 2x = 8 simplify 5 two times x over two equals eight over two division property of equality 6 x = 4 simplify group of answer choices 2x 2 2 = 10 2; addition property of equality 2x 2 − 2 = 10 − 2; subtraction property of equality (2x 2)(2) = 10(2); multiplication property of equality the quantity two times x plus two all over two equals ten over two
2(x + 1) = 10
2x + 2 = 10
2x +2 -2 = 10 - 2
2x = 10 (step 3)
2x/2 = 8/2
x = 4
Formula Given:
2(x + 1) = 10
2 Multiply by (x + 1) - Distribution Characteristic
2x + 2 = 10 to open the brackets.
Subtract 2 from both sides.
2x + 2 - 2 = 10 - 2 (equals subtraction property)
2x = 8 (justified in step 3).
Divide both sides by 2
2x/2 = 8/2 - property of equal division.
therefore
x = 4. (solved)
The division is one of the four basic operations in arithmetic, a way of combining numbers to form a new number. Other operations are addition, subtraction, and multiplication.
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Consider a weekly raffle having 100 tickets, one of which win a price each week. If you want to maximize your chance of winning something, is it better to buy 10 tickets in on raffle or one ticket in 10 different raffles? Or is it the same?
The probability of winning with 10 tickets in one raffle is 100 times greater than the probability of winning with one ticket in 10 different raffles. This means that buying 10 tickets in one raffle is the best way to maximize your chances of winning something.
Buying ten tickets in one raffle will give you a greater chance of winning the prize than buying one ticket in ten different raffles. In the first scenario, you have a 10% chance of winning the prize (10 tickets out of 100 total tickets). In the second scenario, your chances are only 1% (1 ticket out of 100 tickets in each raffle).
Mathematically, this can be expressed as the probability of winning with 10 tickets in one raffle (P1): P1 = 10/100 = 0.1
The probability of winning with one ticket in 10 different raffles (P2): P2 = (1/100)^10 = (0.01)^10 = 1/10,000 = 0.0001
Therefore, the probability of winning with 10 tickets in one raffle is 100 times greater than the probability of winning with one ticket in 10 different raffles. This means that buying 10 tickets in one raffle is the best way to maximize your chances of winning something.
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what is $20.00 take away $4.60
can someone help with this please
Answer:
120º
Step-by-step explanation:
When parallel lines are intersected by a transversal
alternate interior angles are congruent
m∠4 = 120º
Rational or irrational
−196‾‾‾‾√
1372/99
15‾‾‾√3
3π
The numbers are grouped as;
√-196 is irrational
1372/99 is rational
√3 is irrational
3π is rational
What is a rational number?A rational number is simply defined as a number which is represented or expressed as the ratio of integers, whether even or odd.
These numbers are represented mathematically as a ratio or quotient, say a/b, such that b is not equal or equivalent to zero. The denominator should not be equal to zero.
It is derived from dividing s number by another number.
Examples of rational numbers are;
1/ 3, 2/ 4. 5/ 7, 8/7, 1/5, 1/6
What is an irrational number?An irrational number that cannot be represented as quotient of numbers unlike rational numbers.
These numbers are not written as fractions.
They are also known as real numbers that are not fractions.
Examples of irrational numbers are;
√2, √5, √7, √21
Then, we have that;
√-196 = -14 irrational
1372/99 = rational
√3 = irrational
3π = rational
Hence, the fractional numbers are rational
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Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
The length of the segment indicated is c = c = 9.92.
What is Pythagoras' theorem?Pythagoras discovered that the square of the hypotenuse in a right-angled triangle with a 90° angle is equal to the sum of the squares of the other two sides.
The triangle has three sides: the hypotenuse, which is always the longest, the opposite, which doesn't touch the hypotenuse, and the adjacent (which is between the opposite and the hypotenuse).
a² = b² + c²
a = 19
b = 16.2
c or x =?
19² = 16.2² + c²
361 = 262.4 + c²
c² = 98.6
c = √98.6
c = 9.92
Therefore, the length of the segment indicated is c = 9.92.
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help me with this question please
Answer:
2.50 p + 1.50p
Step-by-step explanation:
if you buy an item x amount of times you would times the two to figure out the total cost of that type of item then add with the other
a shopkeeper bought 1000 tumblers at rs. 8 each. 100 glass tumbler were broken and he sold the rest at rs. 10 each. find his gain oe loss percent
Answer:
12.5% profit
Step-by-step explanation:
he spents $8000 (1000×8)HE sells 900 of them for $10 making $9000, his profit is $1000 . profit divided by original price multiplied by 100 . . (1000/8000×100)Jemila has $10, $5, and $1 bills in her piggy bank. Their total value is $63. If she has two more $5 bills than $10 bills, and three more $1 bills than $5 bills, how many of each bill does Jemila have?
Answer:
She has 3 $10 bills, 5 $5 bills and 8 $1
3 times 10= $30
5 times 5 = $25
8 times 1 = $8
$30 + $25 + $8 = $63
A system of equations is a group of equations that can be solved simultaneously. Here we can find one that allows us to solve the given question.
We will see that: Jemila has 8 $1 bills, 5 $5 bills, and 3 $10 bills.
First, let's define the variables:
x = number of $1 bills in the piggy bank.y = number of $5 bills in the piggy bank.z = number of $10 bills in the piggy bank.Then the total amount of money in the piggy bank is:
$1*x + $5*y + $10*z
And we know that the total value is $63, then one equation is:
$1*x + $5*y + $10*z = $63
We also know that she has two more $5 bills than $10 bills, then:
y = z + 2
We also know that she has three more $1 bills than $5 bills, then:
x = y + 3
So our system of equations is:
$1*x + $5*y + $10*z = $63
y = z + 2
x = y + 3
To solve this, we need to isolate one of the variables in one of the equations. We can see that some variables are already isolated, like on the second or third equations.
For example, we can replace the second equation into the first and third ones:
$1*x + $5*y + $10*z = $63
x = y + 3
$1*x + $5*(z + 2) + $10*z = $63
x = (z + 2) + 3
Now we can simplify these to get:
$1*x + $15*z + $10 = $63
x = z + 5
Now we can replace the second equation on the first one:
$1*x + $15*z + $10 = $63
$1*(z + 5) + $15*z + $10 = $63
Finally, we can solve this for z.
$16*z + $5 + $10 = $63
$16*z = $63 - $15
$16*z = $48
z = $48/$16 = 3
z = 3
Now that we know the value of z, we can use it in the equations:
x = z + 5 = 3 + 5 = 8
y = z + 2 = 3 + 2 =5
Then the solution is:
x = 8y = 5z = 3Then Jemila has 8 $1 bills, 5 $5 bills, and 3 $10 bills.
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