Meredith is addressing envelopes for a charity event. She has finished addressing 30 envelopes and is addressing more envelopes at the rate of 6 envelopes per hour. Meredith's sister, Lily, joined her immediately and started addressing at the rate of 9 envelopes per hour. The number of envelopes addressed by both are shown in the graph below. After how many hours will the number of envelopes addressed by Meredith and Lily be the same?

Answer:

15d^2 +7d-4

Step-by-step explanation:

(5d+4)(3d-1)

FOIL

first 5d*3d = 15d^2

outer 5d(-1) = -5d

inner 4*3d = 12d

last 4*-1 = -4

Add together

15d^2 -5d+12d -4

15d^2 +7d-4

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Answer:

14.2 because 3 is less than 5 so you round down.

i think

14.35 rounded to the nearest tenth is 14.2.

Hope this helps! have a great day!

Answer:

18/18

Step-by-step explanation:

Glad to help!

In a simple linear regression model, the coefficient of the independent variable (x) in the estimated sample regression equation indicates the change in the predicted value of the dependent variable (y) when x increases by one unit. This coefficient is also known as the slope of the regression line. Therefore, to calculate the predicted value of y, we multiply the coefficient by the value of x and add the intercept.

In a simple linear regression model, the coefficient that indicates the change in the predicted value of y when x increases by one unit is the "slope coefficient" or the "regression coefficient" (usually denoted as b1). This coefficient represents the relationship between the independent variable x and the dependent variable y.

The linear regression equation is given as:

y = b0 + b1 * x

Where:
- y is the predicted value of the dependent variable
- b0 is the intercept coefficient (where the line intersects the y-axis)
- b1 is the slope coefficient (the change in y when x increases by one unit)
- x is the independent variable

In this equation, b1 indicates the change in the predicted value of y when x increases by one unit.

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Option (D), the last option is the correct statement, If heights in inches of 200 graduating seniors were summarized in the frequency table;

The median height is greater than or equal to 60 inches but less than 66 inches.

The median is the number value that separates the lower and upper values to halves. The median height is determined by arranging all the given heights in order either from the smallest to highest or from highest to smallest without skipping any measurement of the heights.

After arranging all the heights in order, the median height is usually at the middle.

The reason as to why the median height is greater than or equal to 60 inches but less than 66 inches is because the middle height should not be same as the largest height of 66 inches. It is possible to have multiple 60 inch heights from the 200 seniors. It is also possible to have multiple 66 inch of heights from the 200 seniors.

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The first 4 steps for graphing the quadratic function is as follows;

1) y = -x² - 4x - 3 ⇒ a = -1, b= -4,  c = -3

h = -b/2a  ⇒ x = 4/2(-1)  ⇒ 4/-2 = -2

2)  y= -x² - 4x - 3

y = -(-2)² - 4(-2) - 3 ⇒ y = 1     ∴ Vertex = (-2, 1)

3) y = -x² - 4x - 3 ⇒ 0 = -x² - 4x - 3 ⇒ 0/-1 = (-(x + 3) (x + 1))/1 = 0 = (x + 3) (x + 1). ∴ when y=0. 0 = -x² - 4x - 3.

4. Check attached file for the graphed function

1) The quadratic function is y = -x² - 4x - 3, so a = -1, b= -4, c = -3.

To find the vertex (h, k), we first calculate h which is the x-coordinate of the vertex, using the formula h = -b/2a.

x = -b/2a  ⇒ x = 4/2(-1)  ⇒ 4/-2 = -2

2) To find the y-coordinate of the vertex (k), we substitute h (x=-2) into the equation; y= -x² - 4x - 3

y = -(-2)² - 4(-2) - 3 ⇒ y = 1                    

Vertex = (-2, 1)

3) To find the x-intercepts, we solve the equation  y = -x² - 4x - 3  for when y=0.

0 = -x² - 4x - 3.

0 = -x² - 4x - 3

0/-1 = (-(x + 3) (x + 1))/1

0 = (x + 3) (x + 1)

x + 3 = 0        x + 1 = 0

x = -3              x = -1

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Therefore , the solution of the given problem of circle comes out to be the intersection points can be used to make chords and secants, among other forms and angles.

A circle is formed by each region of a plane that is a certain distance from this extra point (center). It thus consists of spots that are isolated from one another by the surface and is curved. It also revolves about the centre equally from all angles. In the constrained, the double sphere of a circular, every group of endpoints is uniformly separated from the "centre." By tracing a thread through a circle, one can create a line to circular symmetry.

Here,

The sum of the radii determines the distance between the circular centres.

a single intersection

Two circles are said to be "tangent" or "touching" at a particular location when their paths cross. This indicates that there is only one spot in common between the two circles. The difference in radii is equivalent to the distance between the circle centres.

There are two intersections.

Two circles are said to be "intersecting" when they touch at two places. This indicates that there are two similarities between the two spheres. Less than the total of the radii, but larger than the difference of the radii, is the distance between the centres of the circles.

The intersection points can be used to make chords and secants, among other forms and angles.

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Answer: x = − 10

Step-by-step explanation:

X − 8 = − 20 =

12 − 28 = − 16

28 = − 16

2 − 12 = − 10

x = − 10

Answer:

Step-by-step explanation:

stop searching answers poopers use ur mind

Answer:

-12

Step-by-step explanation:

Substitute x with -2

-(-2)-14

2-14 = -12

Answer:

18

Step-by-step explanation:

Is this an IQ test?

My IQ is 145...

Answer:

18!

Step-by-step explanation:

the ! means factorial

that takes a # and all the # less and multiplies them

18 x 17 x 16 x 15 x 14...

This gives you the amount of ways to order the students

Answer:

4.5

Step-by-step explanation:

Use sin64=x/5 and simplify to

5sin64 and plug it into a calculator to get 4.49 which is 4.5

The probability that the first failed inspection occurs on Fatima's 5th inspection i.e P(c = 5) is 0.05..

In probability and statistics,the geometric distribution defines the probability of the first success occurring after k trials. The probability of success is p

P r ( X = k ) = ( 1 − p )⁽ᵏ⁻¹⁾ p.

We have given that,

An emissions inspections on cars is conducted by Fatima.

Probability that car fail the inspection, p = 6% = 0.06

let c denoted the number of cars that are inspected until one car fail to inspection.

The random variable c here. Here c follow geometric probability distribution with probability of success (0.06).

Plugging all known values in above formula we get, p(c= 5) = (1-0.06)⁴ × 0.06

= (0.94)⁴ (0.06)

=0.0468449376~ 0.05

so, the answer is 0.05

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Complete question:

Fatima conducts emissions inspections on cars. She finds that 6%, percent of the cars fail the inspection. Let C be the number of cars Fatima inspects until a car fails an inspection. Assume that the results of each inspection are independent.

Required:

Find the probability that the first failed inspection occurs on Fatima's 5th inspection

Let P(x1,y1) be a point on the parabola y^2 =4px with focus F(p,0). The question is asking to prove that the angle a between the parabola and the line segment FP is equal to the angle b between the horizontal line y = y1 and the parabola.

Given, P(x1,y1) be a point on the parabola y^2 =4px with focus F(p,0). Now we have to prove that a = b. To prove this, let us assume a line G passing through the point P(x1,y1) perpendicular to the axis of the parabola, as shown in the given figure below.

In right triangle FPG, angle a is defined by tan a = GP/FP              ...(1)

GP can be written as GP = y1, because G is perpendicular to the axis of the parabola. The equation of the parabola is y^2 = 4px, therefore the distance between F(p,0) and P(x1,y1) can be written as FP = x1 + p           ... (2)

From (1) and (2) tan a = y1 / (x1 + p). Rearranging we get tan a = y1/x1 + tan a = y1/p because FP = x1 + p.

Now, Let's consider the line passing through P and parallel to the axis of the parabola, and let Q be the point of intersection of this line with the directrix as shown in the figure. Now, in right triangle PQF, angle A is defined by tan b = PQ/FQ            ...(3)

By the definition of the parabola, we know that FQ = p. Using the formula for the distance between a point and a line, PQ can be written as PQ = y1 / 2. Using the equation of the parabola, 4p = y^2 / xSo, y1^2 = 4px1^2and y1^2 = 4p (PQ)^2. Therefore PQ = y1 / 2, substituting the above results in equation (3) we get, tan b = y1 / p.

From above we can say that tan a = tan b. Hence proved that a = b. Therefore, the angle a between the parabola and the line segment FP and the angle b between the horizontal line y = y1 and the parabola are equal.

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Answer: \(3{x^{2} } -3x-18\)

Step-by-step explanation:  

distribute:

)(−3)(3+6)

)(3+6)−3(3+6)

+6)(3+6)−3(3+6)

+6x−3(3x+6)32+6−3(3+6)

3x2+6x−3(3x+6)32+6−3(3+6)

3x2+6x−3(3x+6)32+6−3(3+6)

3x2+6x−9x−1832+6−9−18

combine like terms:

x2+6x−9x−1832+6−9−18

3x2−3x−1832−3−18

solution:

3{x^{2} } -3x-18

For the data set 6, 3, 2, 9, 5, 2, 8, the mean absolute deviation (M.A.D.) is 2.285.

What is mean absolute deviation?

The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data set. A measure of variance in a data set is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation.

The data set is given as - 6, 3, 2, 9, 5, 2, 8

The mean formula is -

Mean = sum of observations / number of observations

Substitute the values into the equation -

Mean = (6+3+2+9+5+2+8) / 7

Mean = 35 / 7

Mean = 5

The deviation is - (6 - 5 = 1), (3 - 5 = -2), (2 - 5 = -3), (9 - 5 = 4), (2 - 5 = -3), (8 - 5 = 3)

The mean deviation is -

Mean Deviation = sum of deviations from mean / number of observations

Substitute the values into the equation -

Mean Deviation = (1-2-3+4-3+3) / 7

Mean Deviation = 0 / 7

Mean Deviation = 0

So, the mean absolute deviation is -

Mean Absolute Deviation = (1+|-2|+|-3|+4+|-3|+3) / 7

Mean Absolute Deviation = 16 / 7

Mean Absolute Deviation = 2.285

Therefore, the MAD value is obtained as 2.285.

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Answer:

The slope is -3.

Step-by-step explanation:

The slope is the Rise/Run between the two points.  The change in y for every change in x.  Take the two points and calculate the:

RISE = (-6 - 3) = -9

RUN = (8 - 5) = 3

Rise/Run, or slope, is = -9/3 or -3

I graphed a line with slope of -3 and then added 18 to force the line to intersect the two given points.

Answer:

C=2/9

Step-by-step explanation:

First, you combine like terms in the equation.

2c+7c=9c

Because there are no other like variables with 6 that are on the same side of the equation, nothing is changed to the 6. This makes the equation look like this-

9c+6=8

To get C isolated, you need to subtract 6 from both sides.

9c+6-6=8-6

9c=2

To get to what one c would be, you divide both sides by 9 to get c by itself.

9c/9=2/9

The nines cancel and what it simplifies to is 2/9, your answer.  

Answer:

C

Step-by-step explanation:

not sure about this but i think ur original answer was right

Answer:

2.4, 2.3104, 2.3042, and 2.0342.

if you meant ascending, as in going upwards, just reverse what i wrote :)

Step-by-step explanation:

Answer:

$7.81

Step-by-step explanation:

First we're gonna find 25% of $6.25. To do so we change the percent to a decimal (.25) and multiply.

.25*6.25= 1.56 (rounded)

Since we are marking this UP we will add this 25% to the original $6.25.

6.25+1.56= 7.81

The new price is $7.81

Answer:

420 students stayed for history.

Step-by-step explanation:

35% of 1200 is 420

Answer:

x+y= idk

Step-by-step explanation:

sorry i need the points

Answer:

15

Step-by-step explanation:

so you know that the hypotenuse for the triangle with "x"'s is 5 square root two, and because we know that the triangle is an isoceles triangle we know the other two side are equal and as a result x=5. Now for the next triangle it is 5 square root 2 on both sides and that is also an isoceles triangle and y is the hypotenuse so it 5 square root 2 times square root 2 which just becomes 2 so then it is 5 times 2 which is 10. So Y=10 and X=5 so X+Y=15.

Answer:

clara will reach more than toby

Answer:

A

Step-by-step explanation:

Because when you multiply anything with exponents, you multiply the coefficient and add the exponents.

1) We would need to determine the slope and use it to find the amount of rice from the scatter plot.

2) The amount of rice is 12325.

A scatter plot is a type of data visualization that displays the relationship between two numerical variables. It is a graphical representation of data points on a coordinate system, where each data point represents the values of both variables.

We know that the slope can be obtained from;

\(m = y_{2} - y_{1} /x_{2} - x_{1}\)

Thus we have that;

m = 19225 - 15875/1624 - 59

m = 3350/1565

m = 2.14

My model is then;

42250 = 2.14x + 15875

x = 42250 - 15875/2.14

x = 12325

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The equation of the line is: y = 0.05x + 0.1.

A linear equation written in slope-intercept form is y = mx + b, where slope or unit rate is m, and y-intercept or starting value is b.

From the information given, we can derive the two points (3, 0.25) and (13, 0.75) if:

x = year

y = price per pound of apples

Find the slope (m) of the equation:

Slope (m) = change in y / change in x = 0.75 - 0.25 / 13 - 3

Slope (m) = 0.5 / 10

m = 0.05

Find y-intercept (b) by substituting m = 0.05 and (x, y) = (3, 0.25) into y = mx + b:

0.25 = 0.05(3) + b

0.25 = 0.15 + b

0.25 - 0.15 = b

b = 0.1

To write the linear equation, substitute m = 0.05 and b = 0.1 into y = mx + b:

y = 0.05x + 0.1

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