7. In his History class, Derek failed the first test of the semester. His score was 56. Derek's History teacher allowed him to take a make-up test. Derek spent a lot of time studying and he scored 72 on the make-up test. What was the percent increase in Derek's test score? THE ANSWER IS 27% BUT I DONT KNOW HOW TO GET IT IF THAT MAKES SENSE​

The probability of selecting three packages that are satisfactory is 0.729.

we need to find the probability of selecting three packages that are satisfactory from the given satisfactory weight probability. P(satisfactory) = 90.0/100 = 0.9So, the probability of selecting the first satisfactory package is 0.9, for the second package is also 0.9, and for the third package is also 0.9.

∴ The probability of selecting three packages that are satisfactory P(3 satisfactory) = P(Satisfactory) × P(Satisfactory) × P(Satisfactory)P(3 satisfactory) = (0.9)³P(3 satisfactory) = 0.729.

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Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.

An algorithm in math is a procedure, a description of a set of steps that can be used to solve a mathematical computation.

Now,

Hence, Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.

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Answer:

102

Step-by-step explanation:

100 plus 2 equals 102

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

The slope of the line that is parallel to the given line is \(\frac{-7}{4}\)

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercepts

The slope of the line who has an equation ax + by = c is m = \(\frac{-a}{b}\)

Let us use these rules to solve the question

∵ The equation of a given line is 7x + 4y = -16

→ Compare it with the form of the equation above

∴ a = 7 and b = 4

∵ The slope of the line = \(\frac{-a}{b}\)

∴ The slope of the line = \(\frac{-7}{4}\)

∵ Parallel lines have the same slope

∴ The slope of the line that is parallel to the given line is \(\frac{-7}{4}\)

Answer:

he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).

Step-by-step explanation:

The slope of the line passing through the points (2, 4), (1, 1), and (0, -2) is 3, so the answer is A) 3.

The slope can be positive, negative, zero, or undefined, depending on the direction and steepness of the line. A positive slope indicates that the line goes up from left to right, while a negative slope indicates that the line goes down from left to right. A slope of zero indicates a horizontal line, and an undefined slope indicates a vertical line.

To find the slope of a line passing through three points, we can use the slope formula:

slope = (change in y)/(change in x)

We can choose any two points to find the slope, so let's use points (2, 4) and (1, 1):

slope = (1 - 4)/(1 - 2) = -3/(-1) = 3

Now let's check if this slope holds true for the third point (0, -2). We can use points (2, 4) and (0, -2) to find the slope:

slope = (-2 - 4)/(0 - 2) = -6/-2 = 3

Therefore, the slope of the line passing through the points (2, 4), (1, 1), and (0, -2) is 3, so the answer is A) 3.

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Answer:

lenth = x= 12cm

Breadth = y = 8cm

Step-by-step explanation:

Given :

The length of a rectangle is 4 cm more than its width

The area of the rectangle is 96 cm²

To Find :

Width of the rectangle.

Solution :

Let the length of the rectangle be x cm.

Let the breadth of the rectangle be y cm.

Case 1:

➣

➣  _____(1)

Case 2 :

We have the formula for area of the rectangle as follows :

Where,

l = length → x cm

b = breadth → y cm.

➣

➣

Substitute, x = 96/y in equation 1,

➣

➣

➣

➣

➣

Divide by minus sign,

➣

➣

➣

➣

➣

➣

➣

As per assumption, y = breadth of the rectangle.

•°• y = -12 is not acceptable.

Substitute, y = 8 in equation 1,

➣

➣

➣

➣

Answer:

(1,3)

Step-by-step explanation:

the answer is where they intersect and the two lines intersect at (1,3)

Answer:

(1,3)

Step-by-step explanation:

The graph shows you where the point meets (your answer)

hope this helps!!

Answer:

17² - 8² = 225

√225=15

Step-by-step explanation:

a = x

b = 8

c = 17

a² + b² = c²

b² = c² - a²

The solution to the differential equation \(y{"+ 2y'+ y = -7e^{(-t)\) is \(y = (a + bt)e^{(-t)} + (7/2)e^{(-t)\), where 'a' and 'b' are constants of integration.

To find the particular solution (yp) of the given second-order linear homogeneous differential equation: \(y{"+ 2y'+ y = -7e^{(-t)\)

We first find the homogeneous solution (yh) by setting the right-hand side equal to zero: y′′ + 2y′ + y = 0

The characteristic equation for this homogeneous equation is:\(r^2 + 2r + 1 = 0\)

We solve the characteristic equation: \((r + 1)^2 = 0\)

r + 1 = 0

r = -1

Since we have a repeated root, the homogeneous solution is of the form:

\(yh = (a + bt)e^{(-t)\)

where 'a' and 'b' are constants of integration.

Now, let's find the particular solution (yp). We assume the particular solution has a form similar to the right-hand side of the equation: \(yp = Ae^{(-t)\)

where 'A' is a constant to be determined.

Differentiating yp with respect to 't', we find: \(yp' = -Ae^{(-t)\)

Differentiating again, we have: \(yp'' = Ae^{(-t)\)

Substituting these derivatives into the original differential equation:

\(Ae^{(-t) }+ 2(-Ae^{(-t)}) + Ae^{(-t) }= -7e^{(-t)\)

Simplifying: \(-2Ae^{(-t)} = -7e^{(-t)}\)

Dividing by \(-2e^{(-t)\): A = 7/2

Therefore, the particular solution is: \(yp = (7/2)e^{(-t)\)

Finally, the complete solution is the sum of the homogeneous and particular solutions: y = yh + yp

\(y = (a + bt)e^{(-t)} + (7/2)e^{(-t)\) where 'a' and 'b' are constants of integration.

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The complete question is:

Find a solution to  \(y{"+ 2y'+ y = -7e^{(-t)\). Use a and b for the constants of integration associated with the homogeneous solution. y=yh​+yp​=

Answer:

Step-by-step explanation:

Answer:



Step-by-step explanation:

Given: The table of linear function.

x :  -3  , 0 , 3,  6

y :  -6 , -2 , 2,  6

Slope=change in y over change in x



Passing point: (0,-2)

Point slope form:







Slope of the linear function

Linear function is

Hence, The slope of linear function is

The slope of the given linear function which graph represents the data is 3/2.

The slope of a linear function can be calculated by finding the difference between two points on the graph and dividing it by the difference of the corresponding x-values of those points.

In this case, the two points are (2, -2) and (6, 4).

The difference between these y-values = 6,

and the difference between the x-values = 4.

Therefore, the slope of the linear function which graph represents the data = 6/4

= 3/2

This means that the linear function has a slope of 3/2 which summarizes that for every two units that x increases, y increases by three units.

If x increases from 0 to 4, y increases from -5 to 1, which is a difference of 6 units (4 x 3/2 = 6).

The linear function can be written as y = 3/2x -5.

This means that for any given x-value, the corresponding y-value can be calculated by multiplying 3/2 by the x-value and subtracting 5.

If x = 2, the y-value is -2,that is

(2* 3/2)- 5= -2

Therefore, the slope of the linear function which graph represents the data is 3/2.

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The economic order quantity (EOQ) is a formula used in inventory management to determine the optimal order quantity that minimizes the total cost of inventory. The formula for EOQ is: EOQ = √((2 * Demand * Ordering Cost) / Holding Cost) In this case, the demand is 6,000 units per year, the ordering cost is $100, and the holding cost is $5 per unit.

Plugging in these values into the formula, we get:

EOQ = √((2 * 6000 * 100) / 5)

Simplifying the expression inside the square root:

EOQ = √(2 * 6000 * 100 / 5)

Calculating the numerator:

EOQ = √(1,200,000)

Taking the square root:

EOQ ≈ 1,095.45

Therefore, the economic order quantity (EOQ) is approximately 1,095 units.

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Answer:

36°

Step-by-step explanation:

< EAB = 180 - (360/5) = 180-72=108°

so, < AEB = (180-108)/2 = 72/2 = 36°

The required measure of the angle AEB is given as 36°.

A pentagon ABCDE has been shown in the figure, and the measure of angle AEB is to be determined.

Orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
Let angle AEB be x,
Consider an isosceles triangle AEB,
The sum of the angles in a triangle is 180°.
x + x + 108 = 180   [since the angle at the vertex A has a measure of 108°]
2x = 72
x = 36°

Thus, the required measure of the angle AEB is given as 36°.

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Answer:

Angela should multiply the outside number by the numbers in the parenthesis.

Step-by-step explanation:

The rule of distributive property:

\(a(b+c)=ab+ac\)

You have to multiply the outside number by numbers in the parentheses.

Example:

\(3(2+4)\\\text {Distribute 3 into the parenthesis:}\\\left \{ {{3*2=6} \atop {3*4=12}} \right.\\ \text {So:}\\\boxed{3(2+4)=6+12}\)

Answer:

its muiltiply

Step-by-step explanation:

i promise

The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Given stress function is 50x² - 60xy - 70y²

To determine whether the stress function satisfies the conditions of compatibility for a two-dimensional problem, it is required to find the strains and then check for compatibility equations.

Strain components are given as,

εx = ∂υ/∂x + (du/dx)

εy = ∂υ/∂y + (du/dy)

γxy = ∂υ/∂y + (du/dx)

Here,

υ = 50x² - 60xy - 70y²

du/dx = 100x - 60

ydu/dy = -60x - 140y

∂υ/∂x = 100x - 60y

∂υ/∂y = -60x - 140y

∂²υ/∂y² = -140

∂²υ/∂x² = 100

Now,εx = 100x - 60

yεy = -140y - 60

xγxy = -60y - 60x

Taking derivative of εy w.r.t x,

∂(εy)/∂x = -60

Similarly, taking derivative of εx w.r.t y,

∂(εx)/∂y = -60

∴ The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Stress components are given as,

σx = (C11εx + C12εy)

σy = (C21εx + C22εy)

τxy = (C44γxy)

Here,C11 = C22 = 100, C12 = C21 = -60 and C44 = 0

Therefore,

σx = 100(100x - 60y) - 60(-140y - 60x)

= 19600x - 8800

yσy = -60(100x - 60y) + 100(-140y - 60x)

= -19600y + 8800x

τxy = 0

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Null and alternative hypothesis are statements about the sample statistics.

The null hypothesis of both a test typically forecasts no effect or no association between variables, even while the alternative hypothesis expresses their research's prediction of an effect or relationship.

Because Student's t distribution will be less leptokurtic as both degrees of freedom increase, the likelihood of extreme values decreases. Gradually, the distribution resembles a standard normal distribution.

The two primary forms of probability distributions are discrete probability distributions and continuous probability distributions. Each category includes a variety of probability distribution types.

The average relative frequency over all potential trials is known as probability.

For instance, the probability of a coin falling on heads is such that if you flip a coin an infinite number of times, it will land on heads 50% of the time.

Hence we can say that the Null and alternative hypothesis are statements about the sample statistics.

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Answer:

80

Step-by-step explanation:

30 = 100

24 = 80

6 x 5 = 30

6 x 4 = 24

5 = 20 because 5 x 8 = 80.

Answer:

50.6x + 75.9

Step-by-step explanation:

25.3(2x+3) = 50.6x+75.9

Answer:

It would take 9 years for the population to fall below 10000.

Answer:

13 players

Step-by-step explanation:

65 x 0.2 = 13

Answer:

13 players are left handed

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf x = -100}\)

Step-by-step explanation:

\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)

Answer:

-1/32

Step-by-step explanation:

= -2×(-2)^-4÷(-2)^2

= -2×1/16÷4

= -1/8÷4

= -1/8×1/4

= -1/32

The probability of winning $600 or less if you play the game 10 times, assuming that each game is independent IS 0.5630.

A popular probability distribution known as the binomial distribution simulates the likelihood of getting one of two outcomes given a set of parameters. It totals the number of trials when each trial has an equal chance of producing a particular result. The probability of success raised to the power of the number of successes and the probability of failure raised to the power of the difference between the number of successes and the number of trials are multiplied to create the binomial distribution.

Given,

Cash prize = $100

Probability of winning the game = 0.7

Using binomial distribution,

P(4 ≤X≤ 6) = P( X = 4) + P( X = 5) + P( X = 6)

P( 4 ≤ X ≤ 6)

= 1/4(0.6)⁴(0.4)⁴ + 10/5 (0.6)⁵(0.4)⁵ + 10/6 (0.6)⁶(0.4)⁶

= 0.1115 + 0.2007 + 0.2508

= 0.5630

The probability of winning $600 or less if you play the game 10 times, assuming that each game is independent IS 0.5630.

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Answer:

The y - intercept is (0, 4)

Step-by-step explanation:

The equation x + 4y = 8 is in 'standard form.'  Any line parallel to this line has an equation that looks exactly the same EXCEPT for the constant.

So, let's write out x + 4y = 8 and replace the 8 with C.

x + 4y = C

Now take the coordinates of the given point (4, 3) and substitute them into the above equation:  4 + 4(3) = C = 16

Thus, the equation of the line passing through (4, 3) is x + 4y = 16.

To find the y-intercept, set x = 0 and calculate y:

0 + 4y = 16, or y = 4

The y - intercept is (0, 4)

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

letting y = f(x) , rearrange making y the subject

Given

9x + 3y = 12 ( subtract 9x from both sides )

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4, thus

f(x) = - 3x + 4 ← in functional notation