Please help! Slope parallel to line y = 2x/3 + 4

Answer:

  8.3 ft

Step-by-step explanation:

You want the height of the top of a 13 ft ladder whose base is 10 ft from the side of a house.

The ladder represents the hypotenuse of a right triangle with legs of 10 ft and the height up the side of the house.

  a² +b² = c² . . . . . . . . Pythagorean relation

  a² +10² = 13² . . . . . . . known values filled in

  a² = 169 -100 = 69 . . . . subtract 10²

  a = √69 ≈ 8.3 . . . . . . . . . . . take the square root

The top of the ladder is about 8.3 feet from the ground.

The values of given conditions is: Mean = 27.5, Median = 28.5, Mode = None, Population Standard Deviation ≈ 5.9.

To find the mean, median, mode, and standard deviation of the given data set:

Data set: 19, 22, 25, 28, 29, 32, 35, 35

Mean: The mean is calculated by summing all the values and dividing by the total number of values.

Mean = (19 + 22 + 25 + 28 + 29 + 32 + 35 + 35) / 8 = 27.5

Median: The median is the middle value of the data set when arranged in ascending order.

Arranging the data set in ascending order: 19, 22, 25, 28, 29, 32, 35, 35

Median = (28 + 29) / 2 = 28.5

Mode: The mode is the value(s) that occur(s) most frequently in the data set. In this case, there is no mode since no value appears more than once.

Standard Deviation: The standard deviation measures the dispersion or spread of the data around the mean. It is calculated using the formula:

Population Standard Deviation = sqrt((Σ(xi - μ)^2) / N)

where Σ represents the sum, xi represents each value, μ represents the mean, and N represents the total number of values.

Calculating the standard deviation:

Population Standard Deviation = sqrt(((19 - 27.5)^2 + (22 - 27.5)^2 + (25 - 27.5)^2 + (28 - 27.5)^2 + (29 - 27.5)^2 + (32 - 27.5)^2 + (35 - 27.5)^2 + (35 - 27.5)^2) / 8)

= sqrt(((-8.5)^2 + (-5.5)^2 + (-2.5)^2 + (0.5)^2 + (1.5)^2 + (4.5)^2 + (7.5)^2 + (7.5)^2) / 8)

≈ 5.9

Mean = 27.5

Median = 28.5

Mode = None

Population Standard Deviation ≈ 5.9

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The number of sweet pepper seeds in the assortment is 11

The number of hot pepper seeds in the assortment is 5

The first step is to form a system of linear equations to represent the information in the question.

2.85s + 4.29h = (3.30 x 16)

2.85s + 4.29h = 52.80 equation 1

s + h = 16 equation 2

Where:

s = number of sweet pepper seeds

h = number of hot pepper seeds

Take the following steps in order to determine the value of h:

Multiply equation 2 by 2.85

2.85s + 2.85h = 45.60 equation 3

Subtract equation 3 from equation 1

7.20 = 1.44h

Divide both sides by 1.44

7.20 / 1.44 = h

h = 5

In order to determine the value of s, substitute for h in equation 2:

s + 5 = 16

s = 16 - 5

s = 11

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The pair of events (a) Drawing "Hearts" and drawing "Black" are independent, while the pairs (b) Drawing "Black" and drawing "Ace," and (c) the event {2,3,...,5} and drawing "Red" are dependent.

Two events are considered independent if the occurrence or non-occurrence of one event does not affect the probability of the other event. In case (a), drawing a "Hearts" card and drawing a "Black" card are independent events. The color of the card does not depend on its suit, so the occurrence of one event does not impact the likelihood of the other.

On the other hand, in case (b), drawing a "Black" card and drawing an "Ace" card are dependent events. The probability of drawing an "Ace" card is influenced by the color of the card. Since there are both black and red Aces in a deck, the occurrence of drawing a "Black" card affects the probability of drawing an "Ace" card.

Similarly, in case (c), the event {2,3,...,5} (drawing a card with a number from 2 to 5) and drawing a "Red" card are dependent events. The color of the card impacts the probability of drawing a card with a number from 2 to 5, as there are both red and black cards in that range. Therefore, the occurrence of drawing a "Red" card affects the likelihood of drawing a card with a number from 2 to 5.

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Answer:

We found that translations have the following three properties: line segments are taken to line segments of the same length; angles are taken to angles of the same measure; and. lines are taken to lines and parallel lines are taken to parallel lines.

Step-by-step explanation:

Answer:

36 back

Step-by-step explanation:

100 - 64 = 36

Answer:

36¢

Step-by-step explanation:

1.00-0.64=0.36

The z-score for which the area under the standard normal curve to its left is 0.40 is -0.25.
To find the indicated z-score, we need to use the standard normal distribution table. The standard normal distribution table gives the area to the left of a particular z-score. So, in order to find the z-score for which the area to its left is 0.40, we need to look up the value 0.40 in the table and find the corresponding z-score.
Looking at the table, we can see that the z-score closest to an area of 0.40 is -0.25. This means that the z-score for which the area to its left is 0.40 is approximately -0.25.
Therefore, the answer is:
z = -0.25
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The amount I would need to save each month is $500.29.

The formula that can be used to determine the amount I should save each month is : future value / annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

Annuity factor =[ (1.0017)^(12 x 2) ] - 1 / 0.0017 = 23.99

Monthly savings = 12,000 / 23.99 = $500.29

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1) a) The sum from i = 1 to n of 2^i is (2^(n+1) - 2) for n >= 1.

b) The sum from i = 1 to n of 1/(i(i+1)) is 1 - 1/(n+1) for n >= 1.

c) The inequality n! > 2^n holds for n >= 4.

2) The proof that sqrt(2) is irrational uses a proof by contradiction.

The sum of the first n odd positive integers is n^2.

3) |A intersect B| can be found by counting the common multiples of 8 and 125.

|A union B| can be found by adding the total number of multiples of 8 and 125, excluding the common multiples counted in the intersection.

1) a) To find the sum from i = 1 to n of 2^i, we can use the formula for the sum of a geometric series. The sum is given by (2^(n+1) - 2) for each n >= 1.

b) To find the sum from i = 1 to n of 1/(i(i+1)), we can use partial fraction decomposition. The sum is given by 1 - 1/(n+1) for each n >= 1.

c) To prove that n! > 2^n for each n >= 4, we can use mathematical induction. The base case is n = 4, and then we assume it holds for some k >= 4 and prove it for k + 1.

2) To prove that sqrt(2) is irrational, we can use a proof by contradiction. Assume that sqrt(2) is rational, express it as a fraction p/q in simplest form, and derive a contradiction by showing that p and q must have a common factor of 2.

To find the sum of the first n odd positive integers, we can use the formula for the sum of an arithmetic series. The sum is given by n^2 for each n >= 1.

3) To find |A intersect B|, we need to find the common multiples of 8 and 125 that are less than 100,000. By finding the least common multiple (LCM) of 8 and 125, which is 1000, we can count the number of multiples of 1000 that are less than 100,000.

To find |A union B|, we need to find the total number of multiples of 8 and 125, excluding any common multiples counted in |A intersect B|. By adding the number of multiples of 8 and 125, and subtracting |A intersect B|, we can find |A union B|.

To determine the number of students on the CS team, we can use the principle of inclusion-exclusion. By adding the number of students on the math team and the CS team, and subtracting the number of students on both teams, we can find the number of students on the CS team.

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Answer:

Erosion

Step-by-step explanation:

Erosion is the movement of sediment from one place to another. Erosion is the mechanical process of wearing or grinding somethin down. It condition in which the earth’s surface is worn away by the action of water and wind.

Therefore, the answer is erosion.

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To determine how fast the distance between them is changing at that moment, we can calculate the relative velocity.

Brooke and Jamail are moving in opposite directions, so their speeds are added together. Their combined speed is 6 km/h + 7 km/h = 13 km/h.

In 7 seconds, they will travel a distance of 13 km/h * 7 s / 3600 s/h = 0.27 m.

The distance between them will be 27 m - 0.27 m = 26.73 m.

The rate at which the distance between them is changing is 13 km/h = 13000 m/h = 42.4 m/s.

Therefore, the distance between Brooke and Jamail is 26.73 m after 7 seconds, and the distance between them is changing at a rate of 42.4 m/s.

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Answer:

yes, you can get all right answers.

Answer:

yes i believe that you can get all the answers right

Step-by-step explanation:

The mean of the given data is 1 point higher than the median.

The scores gathered by Eric are:

588, 838, 691, 818, 846, 725, 605, 732, 750.

Let us calculate the mean of the above scores:

Mean = (588+838+691+818+846+725+605+732+750)/9

Mean = 732.55 approx. 733(say)

The median is the middle number in a sorted, ascending, or descending, list of numbers and can be more descriptive of that data set than the average.

To calculate the median we need to arrange the data either in ascending or descending order.

Let us arrange the data in ascending order as follows:

588, 605, 691, 725, 732, 750, 818, 838, 846

We know that the median is the middle number.

So median = 732

Therefore, we can say that the mean is 1 point higher than the median.

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Answer: 4.70

Step-by-step explanation:

Answer:

Supplementary angles are two angles whose sum is equal to 180∘. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees. These two angles are supplementary because together they form a straight line.Jun 5, 2017

Step-by-step explanation:

Luna~

The data set is

1, 2, 4, 7

The answers are;

The median in a case where the data set is an even number, then the median would take account of both middle values and then calculate addition of both and then divide by 2

The Mode is the most frequently occuring value in the data set. In this case, all observed data occur just once, and none of them occur more than once. Hence there is no Mode

Answer: -5/21.

Step-by-step explanation:

\(\frac{2}{5}*[\frac{-3}{7} +(\frac{-1}{6})]=\frac{2}{5} *(-\frac{3}{7} -\frac{1}{6}) =\frac{2}{5}*(-\frac{3*6+1*7)}{7*6} )=\frac{2}{5}*(-\frac{18+7}{42})=\frac{2}{5}*(-\frac{25}{42})=-\frac{5}{21} .\)

Good luck an' have a nice day!

Answer:

Step-by-step explanation:

In this case, Asset A has a return of 16% and represents 60% of the portfolio, while Asset B has a return of 22% and represents 40% of the portfolio. The correlation between Asset A and B is given as 0.93.

To calculate the expected return of the portfolio, we use the following formula:

Expected Return = (Weight of Asset A * Return of Asset A) + (Weight of Asset B * Return of Asset B) + (2 * Weight of Asset A * Weight of Asset B * Correlation between A and B * Standard Deviation of Asset A * Standard Deviation of Asset B)The expected return for a portfolio composed of two assets, A and B, can be calculated using the weighted average of the individual asset returns, considering their respective weights in the portfolio.

By plug in the given values and performing the calculations, we can determine the expected return for the portfolio comprised of 60% Asset A and 40% Asset B.

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Answer:

i cant  see the picture

Step-by-step explanation:

Answer:

1 goes to 3a ,4 goes to 2b 3 goes to 4c and I can't see the rest

Step-by-step explanation:

I dont know I'm probably wrong tho

Answer:

6.2y can be combined with -3/8y

As given by the question

There are given that the graph.

Now,

The value of f(4) is:

And

If f(x)=5, then x is:

Hence, the value of f(4) is 0 and x is 2.

The new x-coordinate must be 2-2 = 0.

acc to our question-

Finding the distance between the known endpoint and the midpoint, then applying the same transformation to the midpoint, is the quickest technique to locate the missing endpoint. The x-coordinate changes in this situation from 4 to 2, or down by 2, hence the new x-coordinate is 2-2 = 0.

Hence,The new x-coordinate must be  = 0.

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Answer:

x = 5

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k ) are the coordinates of the vertex and a is a multiplier

h(x) = 19(x - 5)² + 6 ← is in vertex form

with vertex (h, k ) = (5, 6 )

The axis of symmetry is a vertical line passing through the vertex

with equation x = 5

The budget constraint for Jimmy can be represented by a straight line with two segments: one with a slope of -5 and another with a slope of -4. The intercept of the line with the vertical axis is $100.

Start by determining Jimmy's total earnings if he works all 80 hours. Since he earns $5 per hour, his total earnings would be 80 * $5 = $400.

Plot a point on the graph with coordinates (0, $100). This represents the situation where Jimmy does not work and receives the tax-free payment of $100.

Plot another point on the graph with coordinates (80, $400). This represents the situation where Jimmy works all 80 hours and earns $400.

Connect the two points with a straight line. The slope of the line segment representing labor is -5 because for every hour Jimmy works, he earns $5 less due to the 50% income tax. The slope of the line segment representing leisure is -4 because Jimmy's leisure time does not earn him any income.

The line intersects the vertical axis at $100, which represents the tax-free payment Jimmy receives when he does not work.

In summary, the budget constraint for Jimmy can be represented by a line segment with a slope of -5 for labor and a slope of -4 for leisure. The intercept with the vertical axis is $100, representing the tax-free payment.

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The probability that the sample contains between 20 and 40 defective chips (including 20 and 40) is approximately 0.983.

To solve this problem, we need to use the normal approximation to the binomial distribution with continuity correction.

The mean of the binomial distribution is μ = np = (400)(0.08) = 32, and the standard deviation is σ = sqrt(n p q) = sqrt((400)(0.08)(0.92)) = 4.94.

Using the continuity correction, we can find the probability of between 20 and 40 defective chips in the sample as follows:

z1 = (20 - 0.5 - 32) / 4.94 = -2.94

z2 = (40 + 0.5 - 32) / 4.94 = 2.94

P(20 <= X <= 40) = P(-2.94 <= Z <= 2.94)

Using a standard normal table, we find that P(-2.94 <= Z <= 2.94) = 0.9834.

Therefore, the probability that the sample contains between 20 and 40 defective chips (including 20 and 40) is approximately 0.983. Rounded to three decimal places, the answer is 0.983.

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If the rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units. The length of the rectangle will be 13 units.

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry. The area of a rectangle can be calculated using the following formula:

Area of a rectangle,

Rectangle area = length x width

It is given that, A rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units.

Suppose the rectangle area is A, the perimeter is p, the width is w and the length is l.

A = 7 + P ----- 1

w = 3 units

A = lw

P = 2(l+w)

Substitute the values in equation 1,

A = 7 + P

lw = 7 + 2(l+w)

3l =7+2(l+3)

3l=7+2l+6

Rearrange the equation and solve,

3l-2l = 7+6

l = 13 units

Thus, if the rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units. The length of the rectangle will be 13 units.

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Answer:

B

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

3.....................

Answer:

what situation

Step-by-step explanation:

Answer:

About 95

Step-by-step explanation:

If she bought her camera 15 days ago, then you just divide 1427 by 15. You can't take parts of pictures, so it has to be a whole number, so you round.

Answer:

95.1333333333 you should probably round it but thats how many photos she took each day

Step-by-step explanation:

1427/15= photos taken each day