The table shows the number of hours spent studying for a history final exam and the score on that exam. Each row represents a single student. Which value is an outlier in the table below?
Exam Scores
Number of hours spent studying, x
Exam score
(out of 100), y
1.5
65
2
68
3.5
71
4.5
98
4.5
82
6
84
6.5
88
7
85
7
80
(1.5, 65)
(3.5, 71)
(4.5, 98)
(6.5, 88)

Answer:

30 pieces.

Step-by-step explanation:

According to the word problem, Alex wants to cut all six of his candy bars into fifths.

5/5 = one whole candy bar.

If there will 5 pieces for every candy bar, we can multiply 5 by 6.

5 x 6 = 30.

There will be 30 of the 1/5 size pieces.

Step-by-step explanation:

It is read thus Y^3+X^2-7

The equation form from the given statement would be Y^3 + X^2 - 7.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically.

For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.

We have been given a statement as;

"A number y cubed plus x squared decreased by 7".

So, the equation form would be

Y^3 + X^2 - 7

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The complete question is

"A number y cubed plus x squared decreased by 7". write the expression.

Answer:

675 will be stuffed crust.

Step-by-step explanation:

The total number of pizzas sold initially is 1060 pizzas. Calculate the percentage of the stuffed crust pizzas within the 1060 pizzas.

\( \frac{1569}{1060} \times 100 \\ = 15\%\)

Therefore the stuffed crust is 15% of the total sales.

To find how many pizzas she should expect to be stuffed crust pizzas in the next 4500, calculate 15% of 4500.

\( \frac{15}{100} \times4500 \\ = 675\)

Therefore she should expect 675 pizzas of her next 4500 sales to be stuffed crust pizzas.

Answer:

(4,4)

By using a graphing we can see that the lines intersect at (4,4).

therefore, 4 is the solution

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The equation x² y² = 4 corresponds to a hyperbola when only considering x and y as variables. When considering x, y, and z as variables, the equation corresponds to a two-sheeted hyperboloid.

a) When only x and y are the variables being considered, the equation x² y² = 4 corresponds to a circle in the xy-plane. The circle has a center at the origin (0,0) and a radius of 2.

b) If x, y, and z are the only variables being considered, the equation x² y² = 4 still represents a circle in the xy-plane, but it becomes a cylinder along the z-axis. This cylinder has a center on the z-axis and a radius of 2, extending infinitely along the z-axis.

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Answer:

After one year Kenny will have $520.

Step-by-step explanation:

Answer:

$520

Step-by-step explanation:

500(0.04) = kenny's annual interest rate return= 20

500+20= total dollars kenny has in a year

It would take them 2/W hours, or approximately 1 hour and 36 minutes, to mow the lawn working together.'

What is rate ?

The rate is a measure of how much of a quantity is completed or changed per unit of time. It is often represented as a ratio of the amount of work done to the amount of time it takes to complete the work. For example, in the context of mowing a lawn, the rate could be expressed as the amount of lawn mowed per hour.

Let's call the amount of work required to mow a lawn "W".

Molly can do it in 3 hours, so her rate of work is W/3.

Her little brother can do it in 6 hours, so his rate of work is W/6.

When they work together, their combined rate of work is (W/3) + (W/6) = W/2.

So, working together, they can mow the lawn in W/2 hours, or 2/W hours.

Therefore, it would take them 2/W hours, or approximately 1 hour and 36 minutes, to mow the lawn working together.

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It would take them 2/W hours, or approximately 1 hour and 36 minutes, to mow the lawn working together.'

The rate is a measure of how much of a quantity is completed or changed per unit of time. It is often represented as a ratio of the amount of work done to the amount of time it takes to complete the work. For example, in the context of mowing a lawn, the rate could be expressed as the amount of lawn mowed per hour.

Let's call the amount of work required to mow a lawn "W".

Molly can do it in 3 hours, so her rate of work is W/3.

Her little brother can do it in 6 hours, so his rate of work is W/6.

When they work together, their combined rate of work is (W/3) + (W/6) = W/2.

So, working together, they can mow the lawn in W/2 hours, or 2/W hours.

Therefore, it would take them 2/W hours, or approximately 1 hour and 36 minutes, to mow the lawn working together.

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To find the number of years with temperatures within one standard deviation of the mean, we will follow these steps:

1. Determine the range of temperatures within one standard deviation: Since the mean temperature is 24° and the standard deviation is 4°, the range would be from (24 - 4)° to (24 + 4)°, or 20° to 28°.
2. Count the years with temperatures within this range in the chart (unfortunately, the chart is not provided).
3. Select the appropriate answer from the given options (20, 25, 28, or 35).

In summary, to find the number of years with temperatures within one standard deviation of the mean (24° with a standard deviation of 4°), we need to count the years with temperatures between 20° and 28° in the provided chart.    

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Answer:

its B. on edge 2023

Step-by-step explanation:

In every triangle the addition of all internal angles is always 180 degrees.

So this means we can build this equation

5x + 35 + 60 = 180

now separate x values and numerical values

5x = 180 - 60 - 35

x= (180 - 60 - 35)/ 5 = 85/5 = 17

Answer:

(x,y) =(7/2,4)

Answer:

Option A is the correct option.

Step-by-step explanation:

As PW is the median.

PW = \( \frac{1}{2} \) ( YZ + TM )

Plug the values

x = \( = \frac{1}{2} (5.5 + 12.1)\)

Calculate the sum

x = \( = \frac{1}{2} \times 17.6\)

Calculate the product

x = \( = 8.8\)

Hope this helps...

Best regards!

Answer: if The parabola is passing right through (0, 0) and (9, 0). Then the correct option is C. The correct graph is C. I did this assessment before

Step-by-step explanation:

To find the missing term, we can use the expansion of the square of a binomial, which is given by the formula (a + b)^2 = a^2 + 2ab + b^2. In this case, the binomial is x + 12, so we can use the formula like this:

\((x + 12)^2 = x^2 + 2 * x * 12 + 12^2\)

Therefore, the missing term is 144.

You can also find the missing term by expanding the left-hand side of the equation using the same formula:

\((x + 12)^2 = (x^2 + 24x) + __\)

When we expand the left-hand side using the formula, we get:

\((x + 12)^2 = x^2 + 24x + 144\)

So the missing term is also 144.

The dimensions x and x+50 are 150 ft by 200 ft. When two polygonal or polyhedral vertices are not on the same edge, a diagonal is a line segment connecting them.

When two polygonal or polyhedral vertices are not on the same edge, a diagonal is a line segment connecting them. Any sloping line is known as a diagonal informally.

If you draw a diagonal, you have 2 right triangles, each with leg lengths of x and x + 50.

The diagonal is the hypotenuse, h = 250

Using Pythagorean theorem:

X² + (x+50)² = 250²

x² + x²+ 100x + 2500 = 62500

2x²+ 100x - 60000 = 0

All are even, so factor out a 2:

x² + 50x - 30000 = 0

From quadratic equation:  x = [-50±√(50²-4(1)(-30000))]/(2(1))

x = (-50 ± 350)/2

We can disregard the negative so

x = (-50 + 350)/2 = 300/2 = 150 ft

The dimensions x and x+50 are 150 ft by 200 ft

The complete question is: A rectangular parking lot is 50ft longer than it is wide. Determine the dimensions of the parking lot if the diagonal distance from corner to corner of the lot is 250ft.

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The to your question is that we can use the normal distribution to estimate the probability that the product will last between 16.536 and 8.054 years.


In this case, we want to calculate the probability for x = 16.536 and x = 8.054. The mean (μ) is 14.242 years, and the standard deviation (σ) is 3.978 years.

Using the formula, we can calculate the z-scores for both values:
For x = 16.536: z = (16.536 - 14.242) / 3.978
For x = 8.054: z = (8.054 - 14.242) / 3.978

Once we have the z-scores, we can look up the corresponding probabilities in the standard normal distribution table or use a calculator. Subtracting the probability for the lower z-score from the probability for the higher z-score will give us the probability that the product will last between 16.536 and 8.054 years.

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Answer:

-72

Workout:
= -3(5)^2-(-3)

= -3(25)+3

= -75+3

= -72 (answer)

Answer: 12x-6= 2x

Step-by-step explanation:

The value of 1 cm : 1 km is 6.66666667e-7

The ratio expression is given as:

1 cm : 15 km

Convert km to cm

So, we have

1 cm : 1 km = 1 cm : 1500000 cm

Express as quotient

1 cm : 1 km = 1 cm/1500000 cm

Evaluate the quotient

1 cm : 1 km = 6.66666667e-7

Hence, the value of 1 cm : 1 km is 6.66666667e-7

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Two triangles if the side between any two corners of one triangle cornor corresponds to the side between the corresponding two angles of the second triangle corner are said to be congruent by the ASA rule.

Create a point F' on ray AC such that BF' is equal to DE.

Angle BAF' = angle BAC, which equal to

angle EDF, AB = DE (given), so ∆ DEF

= ∆ ABP

Point F' has two possibilities: F' is equal to point C please.

If F' is not on C, line AC and ray BC intersect only at C, so F' is not on ray BC. Therefore the angle ABF' is not = the angle ABC. But this is a contradiction. Because angle ABF' = angle DEF (because ∆ DEF = ∆ ABF') and angle DEF = angle ABC (given). So, this case does not occur.

Therefore, F' = C must be true.

∆ABC = ∆ABF' = ∆DEF.

The reasonwe only need some parts to

prove congruence of triangles is that from these parts we can (in Euclidean geometry) derive other parts. This is because the basic axioms and definitions allow us to make "guesses" that turn out to be true every time.

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The remainder when dividing 20x³ + 30x² - 4x² + x² - 3x + 2 by x + 1 can be determined by substituting -1 into the polynomial. The remainder is found to be 12 (Option a).

To find the remainder when dividing 20x³ + 30x² - 4x² + x² - 3x + 2 by x + 1, we substitute -1 into the polynomial. When we substitute -1 for x, we get:

R = 20(-1)³ + 30(-1)² - 4(-1)² + (-1)² - 3(-1) + 2

= 20(-1) + 30(1) - 4(1) + 1 + 3 + 2

= -20 + 30 - 4 + 1 + 3 + 2

= 12.

Therefore, the remainder R when dividing the polynomial by x + 1 is 12 (Option a). As for the additional part of the question, the polynomial 20x³ + 30x² - 4x² + x² - 3x + 2 can be simplified to 20x³ + 27x² - 3x + 2. It does not match the letter H, so it seems there might be a typo or error in the question.

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There are 1260 different strings that can be made from 5 of the 7 letters in the word "meeting."

To determine the number of unique subsets of 5 letters from the word "meeting," we can use the combination formula:

\(n_Cr = n! / r!(n-r)!\)

Where n is the total number of items (in this case, the number of letters in the word "meeting") and r is the number of items being selected (in this case, 5 letters).

So, for "meeting," n = 7 and r = 5.

Plugging these values into the formula gives:

\(7C5 = 7! / 5!(7-5)! = 21\)

Therefore, there are 21 unique subsets of 5 letters that can be formed from the letters in the word "meeting."

To determine the number of different strings that can be made from 5 of those 7 letters, we can use the permutation formula:

\(n_Pr = n! / (n-r)!\)

Where n is the total number of items (in this case, the number of letters in the word "meeting") and r is the number of items being selected (in this case, 5 letters).

So, for "meeting," n = 7 and r = 5.

Plugging these values into the formula gives:

7P5 = 7! / (7-5)!

= 7! / 2!

= 2520 / 2

= 1260

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Answer:

Step-by-step explanation:

So first what you got to do is add and mulytplie

the reparameterization of the curve in terms of arc length measured from the point (1, 0) in the direction of increasing t is:

r(s) = (2/|s-1/√2|^2 - 1) i + (2|s-1/√2|/|s-1/√2|^2 + 1)

To reparametrize the curve with respect to arc length measured from the point (1,0) in the direction of increasing t, we need to find the arc length function s(t) and then solve for t in terms of s.

First, we find the derivative of r(t):

r'(t) = [-4t/(t^2+1)^2]i + [2(t^2-1)/(t^2+1)^2]j

Then, we find the magnitude of r'(t):

|r'(t)| = sqrt[(-4t/(t^2+1)^2)^2 + (2(t^2-1)/(t^2+1)^2)^2]
      = sqrt[4t^2/(t^2+1)^4 + 4(t^4-2t^2+1)/(t^2+1)^4]
      = sqrt[(4t^4 + 4t^2 + 4)/(t^2+1)^4]
      = 2sqrt[(t^2+1)/(t^2+1)^4]
      = 2/(t^2+1)^(3/2)

Next, we integrate |r'(t)| with respect to t to obtain the arc length function:

s(t) = ∫|r'(t)| dt
    = ∫2/(t^2+1)^(3/2) dt
    = -1/(t^2+1)^(1/2) + C

To determine the constant of integration, we use the fact that s(1) = 0 (since we are measuring arc length from the point (1,0)). Therefore,

0 = s(1) = -1/(1^2+1)^(1/2) + C
C = 1/√2

Substituting C into s(t), we get:

s(t) = -1/(t^2+1)^(1/2) + 1/√2

To reparametrize the curve in terms of arc length, we solve for t in terms of s:

s = -1/(t^2+1)^(1/2) + 1/√2
s - 1/√2 = -1/(t^2+1)^(1/2)
(-1/√2 - s)^2 = 1/(t^2+1)
t

We can solve for t by taking the square root of both sides and isolating t:

t^2 + 1 = 1/[(s-1/√2)^2]
t^2 = 1/[(s-1/√2)^2] - 1
t = ±sqrt[1/[(s-1/√2)^2] - 1]

Since we are interested in the direction of increasing t, we take the positive square root:

t = sqrt[1/[(s-1/√2)^2] - 1]

This is the reparameterization of the curve in terms of arc length measured from the point (1, 0) in the direction of increasing t.

To simplify this expression, we can use the identity:

sec^2θ - 1 = tan^2θ

where θ = arctan(s-1/√2). Then,

1/[(s-1/√2)^2] - 1 = sec^2(arctan(s-1/√2)) - 1
                   = tan^2(arctan(s-1/√2))

Substituting this expression into the reparameterization formula, we get:

t = sqrt[tan^2(arctan(s-1/√2))]
 = |tan(arctan(s-1/√2))|
 = |s-1/√2|

Therefore, the reparameterization of the curve in terms of arc length measured from the point (1, 0) in the direction of increasing t is:

r(s) = (2/|s-1/√2|^2 - 1) i + (2|s-1/√2|/|s-1/√2|^2 + 1)

From the expression of the reparameterization, we can see that the curve has a vertical asymptote at t = 0, since the magnitude of the denominator in the expression for r(t) approaches 0 as t approaches 0. Additionally, the curve is symmetric with respect to the y-axis, since r(-t) = r(t) for all values of t.
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Answer:

31.99in

Step-by-step explanation:

Answer:

Picture A:

D: 540 degrees

The dimensions of the actual coin and the photo have all the same scale, therefore, the ratio must be the same. If we call the distance across the actual coin as x, we have:

Solving for x:

The actual distance across the coin is 13 mm.

Answer: 1 whole

Step-by-step explanation:

For the two lines to be parallel, the value of n must be 3

When two straight lines are plotted on the coordinate plane, we can tell if they are parallel from the slope, of each line. If the slopes are the same then the lines are parallel.

The slope of each line is calculated as (y2-y1)/x2-x1

for line AB, the slope = (6n-n)/10-4 = 5n/6

for line CD, the slope= 8n-(-6)/9-(-3)=( 8n+6)/12

for AB and CD to be parallel,

5n/6 = (8n+6)/12

multiply both sides by 12

10n= 8n+6

collect like terms

10n-8n= 6

2n= 6

n= 6/2= 3

therefore for the value of n= 3 line CD and AB are parallel.

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