I'm confused on this

Answer:

the cost is now $5.40

Step-by-step explanation:

if 18.00 is 100%, and we need to find the new price we need to make 30% into a decimal. which is 0.3. then we multiply 0.3 times 18.00, and that equals 5.4, but since we are dealing with money the answer would be $5.40.

we multiply if we are trying to find the new amount and we divide to find the old amount.

Answer:

The slope of the line is: M = 0

Step-by-step explanation:

Using the "Slope from 2 points" formula which is \/

M = (y2 - y1) / (x2 - x1)

We just need to input the numbers to find the slope!
M = ( 1 - 1 ) / (1 - - 2 )

Now solve within the parentheses:

M = ( 0 ) / ( 3 )

Which is basically just 0.

I hope the formula: M = ( y2 - y1) / (x2 - x1)

Helps you in the future so you wont have to ask questions like this again.

Answer:

20 questions

Step-by-step explanation:

Given

\(Correct \Marks= +5\)

\(Incorrect\ Marks= -2\)

\(Score\ Obtained = 30\)

\(Number\ of\ correct\ answers = 10\)

Required

Number of questions answered

First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

\(Total = +5 * 10\)

\(Total = +50\ marks\)

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

\(Incorrect = Scores\ Obtained - Total\)

\(Incorrect = 30 - (+50)\)

Open bracket

\(Incorrect = 30 - 50\)

\(Incorrect = -20\)

Divide this by -2 to get the number of incorrect answers

\(Incorrect\ Answers = \frac{-20}{-2}\)

\(Incorrect\ Answers = 10\)

Add this to the number of correct answers to give the total number of question answered

\(Total = Correct\ Answers + Incorrect\ Answers\)

\(Total = 10 + 10\)

\(Total = 20\)

Hence, Roy answered a total of 20 questions

To compare 4.152 and 4.25 you have to look at the tenth place of each number. Given that 1 is less than 2, then 4.152 is less than 4.25

(a) The predicted amount of money spent on entertainment for a student who doesn't work any hours is $1.32.

(b) The predicted amount of money spent on entertainment for a student who works 2 hours is $5.

(c) The expected increase in money spent on amusement is $1.84.

(a) To find the predicted amount of money spent on entertainment for a student who doesn't work any hours (x = 0), we can substitute x = 0 into the equation of the line:

y = 1.84x + 1.32

y = 1.84(0) + 1.32

y = 0 + 1.32

Therefore, the predicted amount of money spent on entertainment for a student who doesn't work any hours is $1.32.

(b) To find the predicted amount of money spent on entertainment for a student who works 2 hours (x = 2), we substitute x = 2 into the equation:

y = 1.84x + 1.32

y = 1.84(2) + 1.32

y = 3.68 + 1.32

y = 5

Therefore, the predicted amount of money spent on entertainment for a student who works 2 hours is $5.

(c) To find the predicted increase in the amount of money spent on entertainment for an increase of one hour in time worked, we can compare the predicted amounts for x and x+1. Let's calculate the difference:

For x: y1 = 1.84x + 1.32

For x+1: y2 = 1.84(x+1) + 1.32

The predicted increase in the amount of money spent on entertainment is given by y2 - y1:

(y2 - y1) = [1.84(x+1) + 1.32] - [1.84x + 1.32]

Simplifying:

(y2 - y1) = 1.84x + 1.84 + 1.32 - 1.84x - 1.32

The x terms cancel out, and we're left with:

(y2 - y1) = 1.84

As a result, for every additional hour worked, the expected increase in money spent on amusement is $1.84.

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Complete question:

The scatter plot shows the number of hours worked, X and the amount of money spent on entertalnment; Y, by each of 23 students. Amount 0f Money spent On entertainment (in dollars) Number of hours worked Use the equation of the line of best fit, y=1.84x+1.32, to answer the questions below Give exact answers not rounded approximations.

(a) What is the predicted amount of money spent on entertainment for a student who doesn't work any hours?

(b) What Is the predicted amount of money spent on entertainment for a student who works [2 hours?

(c) For an increase of one hour In time worked, what is the predicted increase In the amount of money spent on entertainment?

Answer:

x = 10.9

Step-by-step explanation:

7.2 + x = 18.1

-7.2         -7.2

x = 18.1 - 7.2

x = 10.9

Answer:

Step-by-step explanation:

20 + 20 + 10 + 25 = 75

75 - 2 = 73

P ( blue for the third selection ) = 20/73

Answer:

x=4

Step-by-step explanation:

both angles add up to 90* because it is a right angle

10x + 12x + 2 = 90

22x + 2 = 90

subtract 2 from both sides of the equation

22x = 88

divide both sides by 22

x = 4

Since Y = 1/X, then X = 1/Y. The PDF of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to z of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to zero.

The PDF of X is given by fx(x) = { 4x³, 0 < x ≤ 1}When 0 < Y ≤ 1, the values of X would be 1/Y < x ≤ ∞ .Thus, the PDF of Y, g(y) would be g(y) = fx(1/y) × |dy/dx| where;dy/dx = -1/y², y < 0 (since X ≤ 1, then 1/X > 1). The absolute value is used since the derivative of Y with respect to X is negative. Note that;g(y) = 4[(1/y)³] |-(1/y²)|g(y) = 4/y⁵ , 0 < y ≤ 1. The PDF of Y is 4/y⁵, where 0 < y ≤ 1. When Y < 0 or y > 1, the PDF of Y is equal to zero. The above can be verified by integrating the PDF of Y from 0 to 1.

∫ g(y) dy  = ∫ 4/y⁵ dy, from 0 to 1∫ g(y) dy  = (-4/y⁴) / 4, from 0 to 1∫ g(y) dy  = -1/[(1/y⁴) - 1], from 0 to 1∫ g(y) dy  = -1/[(1/1⁴) - 1] - (-1/[(1/0⁴) - 1])∫ g(y) dy  = -1/[1 - 1] - (-1/[(1/0) - 1])∫ g(y) dy  = 1 + 1 = 2. From the above, it can be observed that the integral of g(y) is equal to 2, which confirms that the PDF of Y is valid. The PDF of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to zero.

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Answer:

C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.

Step-by-step explanation:

An outlier is a data point that sticks out like a sore thumb. It's so different from the rest of the data that it makes you wonder if it's a mistake or a miracle. One way to spot an outlier is to use the 1.5IQR rule, where IQR stands for interquartile range. The interquartile range is the gap between the third quartile (Q3) and the first quartile (Q1) of the data. The 1.5IQR rule says that any data point that is more than 1.5*IQR above Q3 or below Q1 is an outlier.

In this case, the first quartile (Q1) is 75, the third quartile (Q3) is 85, and the interquartile range (IQR) is 10. So, any data point that is more than 1.5*10 = 15 above 85 or below 75 is an outlier. The only data point that does this is 110, which is 25 above 85. That means 110 is an outlier.

What does this outlier mean in this situation? It means that one person who came to the senior center that afternoon was way older than the rest of the folks. The average age of the visitors was not changed by this outlier, since it was just one out of 12 data points. But, the outlier does mess up the range and the standard deviation of the data, making them bigger than they would be without the outlier.

Answer:The answer is C

Step-by-step explanation:I did the test.

The equation of line perpendicular to the line y = -2x-7 passing through (4,3) is : 2y = x+2

What is slope of line ?

Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.

Here, the equation of line given is y = -2x-7 first calculating its slope (\(m_{1}\)) by comparing it with slope- intercept form of line i.e. y = mx+c

Therefore, the slope of the given line \(m_{1}\) is -2.

Now the slope (\(m_{2}\)) of the line perpendicular to the given line is calculated using relation :

\(\begin{aligned}m_{1}m_{2}&=-1\\m_{2}&=\frac{-1}{-2}\\&=\frac{1}{2}\end{aligned}\)

Now the equation of the line passing through (4,3) and slope 1/2 will satisfy the equation y = mx +c

\(\begin{aligned}y&= mx +c \\3&=\frac{1}{2}\cdot 4+c\\c&=1\end{aligned}\)

Therefore the equation of line perpendicular to the line y = -2x-7 passing through (4,3) is : 2y = x+2

\(\begin{aligned}y&= mx +c \\y&=\frac{1}{2}x+1\\2y&=x+2\end{aligned}\)

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The solution is Option B.

The area of the triangle is A = 10 units which is one-half the area of a rectangle of length 4 units and width 5 units

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Let the coordinates of the triangle ABC be

The coordinate of A = A ( 4 , 6 )

The coordinate of B = B ( 6 , 1 )

The coordinate of C = C ( 2 , 1 )

Now , the base of the triangle B = 4 units

The height of the triangle H = 5 units

And , The area of the triangle = ( 1/2 ) x Length x Base

Substituting the values in the equation , we get

The area of the triangle = ( 1/2 ) x 4 x 5

The area of the triangle = 10 units

Now , one-half the area of a rectangle of length 4 units and width 5 units

Substituting the values in the equation , we get

Area of rectangle = ( 1/2 ) Length x Width

Area of rectangle = ( 1/2 ) 4 x 5

Area of rectangle = 10 units

Hence , the area of triangle is 10 units

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Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

Answer:

196cm²

Step-by-step explanation:

14*14=196

area = length of one side * the length of the other side

Answer:

50L is larger than 500 ML because 1L=1000ml and. 1ML= 1 ML.

Step-by-step explanation:

Answer: 50 L

Step-by-step explanation:

In order to compare both, let's first transform 500 mL into L. We know that 1 L is 1000 mL. So 500 mL = 0.5 L. We should now look at both numbers. The answer would be 50 L, since 50 is superior to 0.5

The Fourier series representation of the output \(y(t)\) for different inputs can be found by convolving the input signal with the impulse response \(h(t)\).

For the given input \(x(t) = 1\), the output can be found by convolving \(x(t)\) with \(h(t)\). The Fourier series representation of the output can be obtained by taking the Fourier transform of the convolved signal.

Since \(h(t)\) is an even function, the Fourier transform of \(h(t)\) is a real and even function. Thus, the Fourier series representation of the output will only contain cosine terms.

To calculate the Fourier series coefficients, we need to find the integral of the product of the impulse response and the cosine functions.

Using the property that \(\cos(at)\) is even and \(\int_{-\infty}^{\infty} \cos(at) \, dt = \pi \delta(a)\), where \(\delta\) is the Dirac delta function, we can simplify the calculation.

By evaluating the integrals, we can determine the values of the Fourier series coefficients, and thus, obtain the Fourier series representation of the output \(y(t)\).

In summary, to find the Fourier series representation of the output \(y(t)\) for the given inputs, we need to convolve the inputs with the impulse response \(h(t)\), calculate the Fourier series coefficients using the properties of even functions and the Dirac delta function, and then express the output in terms of the cosine terms.

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The probability that a randomly chosen child has a height of less than 68.15 inches is 0.9162, the probability that a randomly chosen child has a height of more than 54.4 inches is 0.6255.

Simply put, probability is the liability that commodity will do. When we do not know how an event will turn out, we can bandy the liability or liability of several issues. Statistics is the study of events that follow a probability distribution.

a) We need to find p(x<68.15)

Standardize x to z, we have, z = (68.15-μ)/σ

=(68.15-57)/8.1

=1.38

Reading from standard normal tables,

p(z<1.38) =0.9162.

Therefore, the probability that a randomly chosen child has a height of less than 68.15 inches is 0.9162.

b) We need to find p(x>54.4)

Standardize x to z, we have, z = (54.4-μ)/σ

=(54.4-57)/8.1

=-0.32

Reading from standard normal tables,

p(z>-0.32) = 0.6255

Therefore, the probability that a randomly chosen child has a height of more than 54.4 inches is 0.6255.

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Answer:

1 4/5 miles :)

Step-by-step explanation:

We first need to get them at a common denominator :)

4 1/2 = 4 5/10

2 3/5 = 2 6/10

Now we subtract :)

4 5/10 = 3 14/10

3 14/10 - 2 6/10 = 1 8/10 = 1 4/5

Have an amazing day!!

Please rate and mark brainliest!!

Nance still needs to ride 1 and 9/10 miles to reach her friend's house.

Speed is a measure of how quickly an object moves from one place to another. It is defined as the distance traveled by an object per unit of time, and is often represented by the symbol "v". The formula for speed is:

Speed = Distance/Time

Nance is riding her bike to a friend's house that is 4 and 1/2 miles away. She has already ridden 2 and 3/5 miles. To find out how much farther she needs to ride, we can subtract the distance she has already ridden from the total distance:

Total distance = 4 and 1/2 miles

Distance already ridden = 2 and 3/5 miles

Total distance - Distance already ridden

4 and 1/2 - 2 and 3/5 = 9/2 - 13/5 (we need to get a common denominator)

= (45/10) - (26/10)

= 19/10

Therefore, Nance still needs to ride 1 and 9/10 miles to reach her friend's house.

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\(\huge\textsf{Hey there!}\)

\(\mathsf{\dfrac{9}{10} \div \dfrac{1}{5}}\)

\(\mathsf{= \dfrac{9}{10}\times\dfrac{5}{1}}\)

\(\mathsf{= \dfrac{9\times5}{10\times1}}\)

\(\mathsf{9 \times 5 = \boxed{\bf 45} \ (numerator)}\)

\(\mathsf{10\times 1 = \boxed{\bf 10} \ (denominator)}\)

\(\mathsf{= \dfrac{45}{10}}\)

\(\mathsf{= \dfrac{45\div5}{10\div5}}\)

\(\mathsf{45\div 5 = \boxed{\bf 9} \ (numerator)}\)

\(\mathsf{10 \div 5 = \boxed{\bf 2} \ (denominator)}\)

\(\mathsf{= \dfrac{9}{2}}\)

\(\mathsf{= 4\dfrac{1}{2}}\)

\(\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 \dfrac{1}{2}}\large\text{ \bf or }\mathsf{\bf \dfrac{9}{2}}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The main advantage of the discussion forum is that it allows the exchange of information, the disadvantage is that it requires a very good organization.

The main advantages of this forum are:

The main disadvantages are:

Answer:

Try your legs a lot do some do triceps cause like if you dont do streteches your body will hurt  a lot

Step-by-step explanation:

The Chebyshev bound can be used to provide an upper bound on the probability that the total number of dots lies between 300 and 400.

The Chebyshev bound states that for any random variable with a finite mean and variance, the probability that the random variable deviates from its mean by more than a certain number of standard deviations is bounded. In this case, we can use the Chebyshev bound to estimate the probability that the total number of dots deviates from its mean by more than a certain amount.

To apply the Chebyshev bound, we need to know the mean and variance of the total number of dots. Once we have these values, we can calculate the standard deviation and determine the number of standard deviations that correspond to the interval between 300 and 400.

By using the Chebyshev bound, we can provide an upper bound on the probability that the total number of dots lies between 300 and 400. The bound becomes tighter as the sample size increases, and it approaches the actual probability as the sample size approaches infinity. Therefore, the Law of Large Numbers is indirectly invoked in using the Chebyshev bound to estimate the probability.

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Answer:

hope this helps

Step-by-step explanation:

the mid point formula is

x1 + x2  over 2     y1 + y2 over 2

3) -4 + 2 = -2/2 = -1

   2 + 2 = 4/2 = 2

(-1,2)

4)  -4 + 5 = 1/2

     -1 + 3 = 2/2 = 1

(1/2,1)

5) 0 + 5 = 5/2

   0 + 4 = 4/2 = 2

(5/2,2)

6) -3 + 1 = -2/2 = -1

    1 + -4 = -3/2

(-1,-3/2)

7) -1 + 4 = 3/2

   -2 + -2 = -4/2 = -2

(3/2,-2)

8) -4 + -1 = -5/2

   -1 + 4 = 3/2

(-5/2,3/2)

The cost of the burger was $4.25, the cost of the souvenir was $6.00, and the cost of the pass was $11.00.

To solve this problem, let's first set up some equations. Let x be the cost of the souvenir, then the cost of the burger is 1/4 of x, and the cost of the pass is 3/2 of x. We can write:

x + 1/4x + 3/2x = 21.25 (the total cost of the items)

2x = 17

x = 8.50

Now we can find the cost of each item by substituting x:

The cost of the souvenir is $8.50

The cost of the burger is 1/4 of $8.50 = $2.125 (which we can round to $2.00)

The cost of the pass is 3/2 of $8.50 = $12.75 (which we can round to $11.00)

We can check our answer by adding up the cost of the items:

$2.00 + $8.50 + $11.00 = $21.50

$21.50 + $2.00 (leftover) = $23.50 (which is the original amount Brooke brought to the fair)

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\(-25(x - 4) = -55(x - 10)\\-25x+100=-55x+550\\30x=450\\x=\dfrac{450}{30}=15\)

Answer:

x=15

Step-by-step explanation:

Answer: it’d y<x and y>2

Step-by-step explanation: i just took the test on ape..x