what is the slope of the graph

Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.

Consider a standard normal random variable z. If the area to the right of z is 0.3336, the value of z can be found using the standard normal distribution table. The standard normal distribution table gives the area to the left of a given z-score. Since we are given the area to the right of z, we subtract 0.3336 from 1 to get the area to the left of z. This gives us an area of 0.6664 to the left of z on the standard normal distribution table. The closest value of z that corresponds to this area is 0.43. Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43. The value of z, when the area to the right of z is 0.3336, is approximately 0.43.

Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.

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Answer:

chunking is a maths method for dividing large numbers which can't be done mentally. It is the repeated subtraction of the divisor and its multiples. Put simply, it involves working out how many groups of a specific number fit into another number.

Step-by-step explanation:

this is what go.ogle says

Answer:

x | x > -5}

Step-by-step explanation:

Given the inequality expression

-2x<10

We are to find the range of x that will make the inequality true

Divide both sides by -2

-2x>10/-2

x > -5 (note the reverse in sign)

Hence the required solution will be x | x > -5}

Distance = 13 units

Point A: (8, -7)

Point B: (-4, -2)

\(\sqrt{(8 + 4)^{2} + (-7 + 2)^{2} }\)

\(\sqrt{(12)^{2} + (-5)^{2} }\)

\(\sqrt{144 + 25 }\)

\(\sqrt{169}\)

\(13\)

Answer:

\(\boxed {d = 13}\)

Step-by-step explanation:

Use the Distance Formula to help you find the distance between the two following points:

\(d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}\)

(where \((x_{1}, y_{1})\) represents the first point and \((x_{2}, y_{2})\) represents the second point)

-Apply the two following onto the formula:

\((x_{1}, y_{1}) = (8, -7)\)

\((x_{2}, y_{2}) = (-4, -2)\)

\(d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}\)

-Solve for the distance:

\(d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}\)

\(d = \sqrt{(-12)^{2} + 5^{2}}\)

\(d = \sqrt{144 + 25}\)

\(d = \sqrt{169}\)

\(\boxed {d = 13}\)

Therefore, the distance is \(13\).

Step by Step Explanation:

R=V/I

R=12/4=3

so i =V/R

i=18/3

i=6 ans.

(a) Miguel had the greatest spread in training times.

(b) Adam had the least spread in the middle 50% of training times.

(c) Miguel's training times had a greater range, indicating more variability, while Adam's training times were more consistent and tightly grouped.

(a) To determine which person had the greatest spread, we need to compare the range or variability of their training times. By observing the given data, we can see that Adam's training times range from 92 to 106, resulting in a spread of 14. On the other hand, Miguel's training times range from 85 to 105, resulting in a spread of 20. Therefore, Miguel had the greatest spread of training times.

(b) To determine which person had the least spread in the middle 50% of training times, we need to compare the interquartile range (IQR). By calculating the IQR, we find that Adam's IQR is 9 (from the 25th to the 75th percentile), whereas Miguel's IQR is 7. Since Adam's IQR is greater, it means Miguel had the least spread in the middle 50% of training times.

(c) The answers to parts (a) and (b) indicate that while Miguel had a greater spread of training times overall, Adam's training times had a greater spread in the middle 50%. This suggests that Adam's training times were more concentrated around the median, while Miguel's training times were more spread out.

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a) All of the training times of Adam had the greatest spread.

(b) The middle 50% of the training times of Adam had the least spread.

(c) The answers to Parts (a) and (b) tell us that Adam's training performance may be more stable within that middle 50%, while Miguel's performance is more variable.

(a) Adam's training times had the greatest spread.

To determine this, we can calculate the range of the data sets. For Adam, the range is 106-92 = 14 seconds, while for Miguel, the range is 105-85 = 20 seconds. However, a better measure of spread is the interquartile range (IQR), which focuses on the middle 50% of the data. For Adam, the IQR is 101-97 = 4 seconds, while for Miguel, the IQR is 96-89 = 7 seconds. In both cases, Miguel's data has a greater spread.

(b) Adam's training times had the least spread for the middle 50% of the data. This is demonstrated by the IQR, as mentioned above. For Adam, the IQR is 4 seconds, while for Miguel, it is 7 seconds.

(c) The answers to Parts 2(a) and 2(b) tell us that while Miguel's overall training times have a greater spread, the middle 50% of Adam's training times are more consistent, with less variation. This suggests that Adam's training performance may be more stable within that middle 50%, while Miguel's performance is more variable.

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Answer:

Step-by-step explanation:

A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds

V = U + at

1.2u  = u  + a*10

=> a = 0.02u

S= ut + (1/2)at²

Distance in 1st 10 secs

S = u(10) + (1/2)(0.02)(10)²

=> S = 10u + u

=>  S = 11u  m

Constant speed 1.2u for 15 secs

S = 1.2u * 15

=> S = 18u m

Total Distance Covered d  = 11u + 18u = 29u  m

Answer:

The equation of the parallel line is

y = 3x + 9

Step-by-step explanation:

The general equation of a straight line is given as;

y = mx + c

where m is the slope and c is the intercept

If two lines are parallel, their slopes are equal

So the slope of the new line too is 3

Using the point-slope formula

y-y1 = m(x-x1)

y-12 = 3(x-1)

y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

The value of A in the triple integral ∫∫∫ Ƒ dV = 14/15 is A = -15(14/15) / (16y+64y³/3).

To find the value of A in the triple integral ∫∫∫ Ƒ dV, where the limits of integration are given, and the result is equal to 14/15, we need to evaluate the integral and solve for A.

Let's compute the given triple integral step by step. We have ∫∫∫ Ƒ dV = ∫[0 to 4] ∫[0 to x] ∫[0 to -x-y²] Adzdxdy. Integrating with respect to z first, we obtain ∫[0 to 4] ∫[0 to x] -A(x+y²) dydx. Integrating with respect to y, we have ∫[0 to 4] [-A(xy+y³/3)] dx. Finally, integrating with respect to x gives [-A(x²y+xy³/3)] evaluated from 0 to 4.

Evaluating the upper limit, we get [-A(16y+64y³/3)]. Plugging in the lower limit, we have [-A(0+0)] = 0. Thus, the result of the triple integral is [-A(16y+64y³/3)]. Setting the result equal to 14/15, we have [-A(16y+64y³/3)] = 14/15. Rearranging the equation, we get -A(16y+64y³/3) = 14/15.

To solve for A, we divide both sides of the equation by (-16y-64y³/3), resulting in A = -15(14/15) / (16y+64y³/3). Therefore, the value of A in the triple integral ∫∫∫ Ƒ dV = 14/15 is A = -15(14/15) / (16y+64y³/3).

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Answer:

54 and 5

Step-by-step explanation:

56-2 is 54

7-5 is 2

have a good day my little friend learning his 1st addition

The distance that a function's graph moves above and below its midline is referred to as its amplitude. When graphing a sine function, the amplitude's value corresponds to the sine function's coefficient.

The distance that a function's graph moves above and below its midline is referred to as its amplitude. When graphing a sine function, the amplitude's value corresponds to the sine function's coefficient. The height between the center line and the peak is known as the amplitude (or to the trough). Alternatively, we might multiply the height from highest to lowest places by 2. The Phase Shift is the horizontal displacement of the function from its initial point.

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Answer:

10

Step-by-step explanation:

geometric mean theorem :

h = sqrt(pq)

p, q being the segments on the Hypotenuse of the right-angled triangle.

so, x = sqrt(9×10) = 3×sqrt(10)

Answer:

$5 per flower

Step-by-step explanation:

25/5=5

is a rate of $5 per flower

25 dollars / 5 flowers

To figure out the unit rate you just divide

Answer:

18

Step-by-step explanation:

3x + 28 = 46

Subtract 28 from each side

3x + 28 = 46

3x+28-28 = 46-28

3x=18

Divide each side by 3

3x/3 = 18/3

x = 6

Find 2x+6

2(6)+6

12+6

18

Hey there!

3x + 28 = 46

SUBTRACT 28 to BOTH SIDES

3x + 28 - 28 = 46 - 28

CANCEL out d 28 - 28 because it give you 0

KEEPs 46 - 28 because it help solve for the x-value.

NEW EQUATION: 3x = 46 - 28

SIMPLIFY IT!

3x = 18

DIVIDE 3 to BOTH SIDES

3x/3 = 18/3

CANCEL out: 3/3 because it give you 1

KEEP: 18/3 because it give you the x-value.

NEW EQUATION: x = 18/3

SIMPLIFY IT!

x = 6

Now that we have your x-value we can substitute it into the equation of: 2x + 6

SIMPLIFYING:

2x + 6

= 2(6) + 6

= 12 + 6

= 18

Thus, your answer is: 18

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

Answer:

The value of segment LM is 9x + 5.

Step-by-step explanation:

Consider the image below.

A perpendicular bisector is a line segment that bisects another line segment into two equal parts and is perpendicular to this line segment.

So from the diagram below we know:

KL = LM

line a is ⊥ to KM

∠NLK = 90°

Since the angle measure of ∠NKL is not provided we cannot determine the value of x.

So, the value of segment LM is 9x + 5.

The answer is 23 units. I got this answer right on this question, if this do help please tap the heart or comment that this helped you. : ) have a lovely day

Santiago needs to invest  50467.3 dollars for the value of the account to reach $81,000 in 16 years at a rate of 3.3%.

Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

Given Santiago is going to invest in an account paying an interest rate of 3.3% compounded annually for the value of the account to reach $81,000 in 16 years.

We know the formula of compound interest which is A = P(1 + r/100)ⁿ,

where A = Amount, P = Principle, n = Time in years and r = rate percentage.

∴ 81000 = P( 1 + 3.3/100)¹⁶.

81000 = P( 1 + 0.03)¹⁶.

81000 = P( 1.03)¹⁶.

81000 = P×1.605.

P = 81000/1.605

P = 50467.3 dollars.

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Answer: 75 / 5 = 15

Ways to write it:

75 ÷ 5 = 15

75 over 5 = 15

75⁄5 = 15

Remember that there is 100 centimeters in a meter, and 1000 meters in a kilometer. If you multiply both values together (so you have a conversion of centimeters to kilometers) you get 100,000. Therefore, 100,000 centimeters makes a kilometer. Divide 320,000 by 100,000 and you get 3.2. Therefore, a centimeter would represent 3.2 kilometers.

A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.

It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.

The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.

The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.

To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.

A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.

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The rate of change of the area of the rectangle is 18 square meters per hour.

In this problem we must compute the rate of change of the area of a rectangle, whose area formula is shown below:

A = w · h

Where:

Now we find the rate of change of the area of the rectangle:

A' = w' · h + w · h'

(w = 40 m, h = 10 m, w' = 1 m / h, h' = 0.2 m / h)

A' = (1 m / h) · (10 m) + (40 m) · (0.2 m / h)

A' = 10 m² / h + 8 m² / h

A' = 18 m² / h

The statement is incomplete, complete text is presented below:

Find the rate of change of an area of a rectangle when the sides are 40 meters and 10 meters. If the length of the first side is decreasing at a rate of 1 meter per hour and the second side is decreasing at a rate of 1 / 5 meters per hour.

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Answer: 13.74m

Step-by-step explanation:

Perimeter of shaded region:

Perimeter of shaded region=area of rectangle- area of semicircle

l×w‐(πr²) - -> diameter of circle‐6m; Radius‐3

=8×6‐(3.14×3×3)

=42— 28.26=13.74m

The inequality that represents the amounts in dollars that could be deposited in a new checking account is a ≥ 75.

This inequality states that "a" must be greater than or equal to 75 dollars, which is the minimum deposit required for opening a new checking account.

the inequality "a ≥ 75" represents the amounts in dollars that could be deposited in a new checking account, where "a" is the amount being deposited and must be greater than or equal to $75.

To represent this mathematically, we can use an inequality. An inequality is a statement that compares two values using symbols like "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "! =" (not equal to).

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Using the concept of percentages the total earning of Cara can be found to be $4200.

Percentage is a number expressed as a fraction of 100. The % sign means to divide the number by 100.

Cara's earning = commission + basic salary

basic salary = $1800 (this is constant)

commission = 6% of $40000

= (6/100)*40000

= $2400

Cara's earning = 1800 + 2400

Hence, her earning is $4200

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Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

Answer:

\(3 |2x - 3| = 1\)

\(3 |2x - 3| = 1 \\ 6x - 9 = 1 \\ 6x = 10 \\ x = \frac{10}{6} = \frac{5}{3} \)

\(3 |2x - 3| = - 1 \\ 6x - 9 = - 1 \\ 6x = 8 \\ x = \frac{4}{3} \)

\(x = \frac{5}{3} x = \frac{4}{3} \)

I am sorry but I am not sure of this :(

Answer:

They trees on school property have no correlation with the students score on standardized tests

Step-by-step explanation:

this problem made no sense but hopefully this helps