Solve: (t/-8) - -4 = -6 t = _____

Answer:

Vowel= 0.2

Number= 0.5

Step-by-step explanation:

Vowel: There are a total of 5 sample spaces known as A,E,I,O,U. From those 5, there is one randomly selected letter e. This will also be known as 1/5, 20% or 0.2.

Number: There are a total of 2 sample spaces known as 1,2. Out of those two numbers, there will be one random number selected known as 2. This is known to be 1/2, 50% or 0.5

The two given algebraic expressions x²-1/2+8x-x²-6x and 2x²-2x are not equivalent as on simplification the first expression is linear but the second expression is quadratic.

the first expression is :

x²-1/2+8x-x²-6x

now we simplify by grouping all the like terms

or, x² - x² + 8x - 6x - 1/2

or, 2x - 1/2 (this is linear as the highest power of the variable x is 1)

Now the second expression is :

2x²-2x (this is quadratic as the highest power of the variable x is 2)

Hence these two expressions are not equivalent.

In mathematics, statements comprising variables, numbers, or both, and at least two terms connected by an operator are referred to as expressions.

Numerical expressions, which just contain numbers, and algebraic expressions, which also contain variables, are the two types of expressions used in mathematics.

A variable is a symbol having an unknowable value. One constant, one variable, or a combination of variables and constants multiplied or divided can all be used to create a term. A coefficient in an equation is a number that has been further multiplied by a variable.

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The two scales used in a classroom demonstration to suspend a \(10N\) weight can register a weight of \(10N\) due to the principle of equilibrium of forces.Each scale can register a weight of \(10N\) because the total weight is supported by two scales at the same time and at the same height.

When a weight of \(10N\) is suspended using the two scales, the weight pulls down on both of them by the same force. Since each scale supports half of the weight, the force exerted on each scale is \(5N\).In order to understand how the scales can register a weight of \(10N\) each, we need to take a look at the forces acting on the weight.

The weight is suspended from two scales, so it is acted upon by two forces: the force of gravity pulling it down and the upward force exerted by the scales.The two scales have a spring inside that is compressed when the weight is suspended from them.

The compression of the spring inside each scale generates an upward force that balances out the weight of the object. This results in an equilibrium of forces, with the upward force exerted by the scales balancing out the force of gravity pulling the object down. Therefore, each scale can register a weight of \(10N\) because the force exerted by each scale is equal to half the weight of the object (\(5N\)), and the two scales together can support the entire weight of the object (\(10N\)).

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The total expected time taken for the ant to reach the farthest corner of the cube is E(Total) = √3 + E(T) = √3 + 1.

The ant has to travel along the surface diagonal of the cube to reach the farthest corner, which is a distance of √3. Since the ant moves with constant speed 1, the time taken to reach the farthest corner is simply the distance divided by the speed, i.e., t = √3/1 = √3. However, since the ant can only move along the edges of the cube and each edge has length 1, the ant has to make a series of right-angled turns to reach the farthest corner. The probability of the ant taking each of the three possible directions (x,y,z) is 1/3. Since each right-angled turn takes the ant 1 unit of time, the expected time taken to make the three turns is E(T) = 3(1/3) = 1. Therefore, the total expected time taken for the ant to reach the farthest corner of the cube is E(Total) = √3 + E(T) = √3 + 1.

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The standard deviation of the number of red balls chosen, x, is 1.2.

In probability theory, the standard deviation is a measure of the amount of variation or dispersion in a set of values. It helps us understand how spread out the values are from the mean. In this scenario, we have an urn containing blue and red balls, and we are randomly selecting 6 balls without replacement. We want to determine the standard deviation of the number of red balls chosen, denoted by x.

To find the standard deviation of x, we need to calculate the variance first. The variance represents the average of the squared differences between each value and the mean. The standard deviation is then the square root of the variance.

Step 1: Finding the probability of selecting a red ball

In the given urn, there are a total of 6 blue balls and 4 red balls. To determine the probability of selecting a red ball, we divide the number of red balls by the total number of balls:

P(red) = 4 / (6 + 4)

          = 0.4

Step 2: Calculating the mean of x

The mean of x, denoted as μx, represents the expected value or average number of red balls chosen. Since the probability of selecting a red ball is 0.4, we can calculate the mean as follows:

μₓ = (Number of trials) × P(red)

   = 6 × 0.4

   = 2.4

Step 3: Determining the variance of x

The variance, denoted as Var(x), is calculated by finding the average of the squared differences between each value of x and the mean:

Var(x) = (Number of trials) × P(red) × P(blue)

          = 6 × 0.4 × 0.6

          = 1.44

Step 4: Finding the standard deviation of x

Finally, the standard deviation, denoted as σx, is the square root of the variance:

σₓ = √Var(x)

    = √1.44

    = 1.2

Therefore, the standard deviation of the number of red balls chosen, x, is 1.2.

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Answer:

midpoint is (-15/2, -15/2)

Step-by-step explanation:

Finding the coordinates of the midpoint is easy.  All you have to do is find the average of the x-coordinates and the average of the y-coordinates of the endpoints of the segment.

So, in your case

(-8 - 7)/2 = -15/2 is the x-coordinate

(-7 - 8)/2 = -15/2 is the y-coordinate

Therefore, the midpoint is (-15/2, -15/2)

Answer:

(-7.5, -7.5)

Step-by-step explanation:

Remember that the formula is (x1+x2/2, y1+y2/2)

So, we know that -8 is x1 and -7 is y1. We also know that -7 is x2 and -8 is y2.

Lets plug this into our formula and see what we get.

(-8+-7/2, -7+-8/2)

Now lets find the x in the midpoint.

-8+-7/2 is equal to -15/2. This makes x equal to -7.5.

Now lets find the y in the midpoint.

-7+-8/2 is equal to -15/2 as well. This makes y equal to -7.5.

Now we can tell that the coordinates for midpoint will be:

(-7.5, -7.5)

MISCONCEPTIONS:

Always remember that midpoint is nothing like slope. The mid point is something you can point on a graph, wheareas slope is a function that can be lined on a graph.

The formulas for the two things are different as well. Slope is y/x, where you subtract the ys and xs from each other. In a way, midpoint is the exact opposite, which is adding the xs and ys together.

I hope this helps ;)

Good luck!

We have that  the first partial product, second partial product and final product is

Respectively

From the question we are told that

145 x 36

first partial product,

second partial product

final product

Generally we transcend from first to final product

For First

We have

100*30

100*6

Sum=3600

for second

40*30

40*6

Sum=1440

Final

5*30

5*6

Sum=180

Therefore the total sum =5220

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The first partial product = 4350

The second partial product = 870

The final product =  5220

Since the question requests for two partial products:

The first partial product = 145  x  30

The first partial product = 4350

The second partial product = 145 x 6

The second partial product = 870

The final product = First partial product  +  Second partial product

The final product = 4350  +  870

The final product =  5220

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Note that given the above triangle and exterior angle, the value of x is 28° while the value of the exterior angle is 60° (Option D). This is solved using the exterior angle theorem.

If a triangle side is constructed, the outside angle formed is equal to the sum of the two inside opposing angles.

In this case, the opposing triangles are:

∠PQR = x° and

∠QPR = 60°

While the exterior angle is: (2x+4)°

Given the above theorem,

2x+4 = x + 60
⇒ 2x = 60 -4 (Having collected like terms)

x = 56/2

thus,

x = 28°

Since x is given as approximately 28°

The external angle is given as:

2(28) + 4

⇒ 56 +4

= 60° (Option D)

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On solving the provided question we can say that  from the provided data in the graph we have, A"B"C" is a reflection then translation of ABC.

Mathematicians use graphs to logically convey facts or values using the a visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

from the provided data in the graph we have,

A"B"C" is a reflection then translation of ABC.

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The value of x in given triangle is 9 i.e. C.

What is a triangle?

A triangle is a three-sided polygon that has three vertices (or corners) and three angles. Triangles are the simplest polygon, and they can be classified based on their side lengths and angle measures.

There are several ways to classify triangles based on their sides:

Equilateral triangle: A triangle having three sides which are  of equal length.

Isosceles triangle: A triangle with two sides of equal length.

Scalene triangle: A triangle with no sides of equal length.

Now,

For given triangle as the ratio of two sides is

44:44 and 21:21 =1:1

then

3x-2=25

3x=27

x=9

hence,

          The value of x is equal to 9.

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Answer:

π (x + 3) inch OR 3.14x + 9.42 inch

Step-by-step explanation:

Diameter (d) = x + 3

Circumference of a circle = πd

=》Circumference of a circle = π (x + 3) inch

If π = 3.14, then,

Circumference = 3.14 (x + 3)

Circumference = 3.14x + 9.42 inch

Hope it helps ⚜

Answer: 32 cookies

Step-by-step explanation:

8 times 3 is 24

24+8=32 cookies

The function is assigning to each element of one set exactly one element from the other set.

First table represent a function.

Second table not represent a function (for -1 are four different numbers).

Third table represent a function.

Fourth table not represent a function (for -6 are two differen numbers 5 and 9)

Answer:

Step-by-step explanation:

I think that you cut off the leading number in the BD segment 8cm appears to be truncated....

if that number was in the image....

BC would be sqrt(52.3 ^2 + ?.8^2)

if you  have BC then

sin(θ)/BC = sin(90)/18.6

Okay, here we have this:

Considering the provided triangle which is a right triangle, we are going to use the pythagorean theorem to find the measure of the missing side, so we obtain the following:

Finally we obtain that the correct answer is the first option.

Answer:

Hey!

The X Value is 3, while the Y value is 6. In other words, it looks like this:

3, 6

Step-by-step explanation:

Hey!

The X Value is 3, while the Y value is 6. In other words, it looks like this:

3, 6

Answer:

(0.5,1.5)

Step-by-step explanation:

The critical value t for the given parameters is approximately 1.753.

To determine the critical value t for a 85% confidence interval with degrees of freedom (df) equal to 15, we can use a t-distribution table or a statistical software.

The critical value t depends on the desired confidence level and the degrees of freedom. In this case, with a confidence level of 85% and 15 degrees of freedom, we need to find the value from the t-distribution table.

Consulting a t-distribution table or using statistical software, the critical value t for a 85% confidence interval with 15 degrees of freedom is approximately 1.753 (rounded to three decimal places).

Therefore, the critical value t for the given parameters is approximately 1.753.

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Determine the critical value t for a 85% confidence interval with df=15.

The critical value t is: _____

(Provide your answer with 3 decimal places)

The correct answer is D. $2.75 / $3.24

To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:

Philadelphia: $117

Cleveland: $106

To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:

Expected Gas Price = National Average * (Transportation Expense / National Average)

National Average for gas = $2.59

For Philadelphia:

Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30

For Cleveland:

Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51

Comparing the expected gas prices, we find that:

A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.

C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.

Therefore, the correct answer is:

D. $2.75 / $3.24

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(a) Therefore, the range of possible values for "x" is 1 to 5. (b) Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31.  Therefore, there are 31 different ways this can happen

To find the number of different ways this can happen, we can consider the number of internet friends each person can have. Since each person has the same number of internet friends, let's denote that number as "x". We can then create equations based on the given information:

1. Some, but not all, of them are internet friends with each other: This means that at least two people are internet friends with each other, but not everyone is friends with each other. This implies that the minimum number of internet friends any person can have is 1, and the maximum number is 5 (since there are 6 people in total).

Therefore, the range of possible values for "x" is 1 to 5.

2. None of them has an internet friend outside this group: This means that each person's internet friends must be within this group of 6 people. So, the number of internet friends each person can have is limited to the remaining 5 people.

To find the number of different ways this can happen, we need to sum up the possible values of "x" and calculate the corresponding combinations. For "x = 1", we choose 1 person out of 5 remaining people, giving us C(5, 1) = 5. For "x = 2", we choose 2 people out of 5 remaining people, giving us C(5, 2) = 10.

Similarly, for "x = 3", "x = 4", and "x = 5", we have C(5, 3) = 10, C(5, 4) = 5, and C(5, 5) = 1 respectively. Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31.

Therefore, there are 31 different ways this can happen

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Benefit she gets monthly is = 42.25-12.5= 29.75

annual value to Tamsen of this benefit= 12×29.75 = 357$

Answer:

A 7:2

Step-by-step explanation:

we have the inequality

y > -1.25

the solution is the interval (-1.25, infinite)

Note that the number -1.25 is not included in the solution

so

Verify each statement

2) -1.75 is a solution ------> false

3) all the solutions are negative -------> false

Answer:

Yes

Step-by-step explanation:

It is a first-degree equation. Look at the exponents of each variable (x, y), they are not written because they are 1

Hope this helps

Based on the information in the graph, we can infer that the area of the figure is 57 square feet (option C).

To calculate the area of the figure we must calculate the area of two segments of the figure and then add them. First we can calculate the area of the area on the left that is 3 * 4.

Then we must find the area of the area on the right which is 7.5 ft * 6ft.

Finally we must add both areas to find the total area:

Note: This question is incomplete. Here is the complete information:

Image attached.

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Answer:

The answer is

Step-by-step explanation:

The measure of angle APB in the intersecting chords is 10⁰.

The measure of angle APB is calculated by applying intersecting chord theorem which that the angle at tangent is half of the arc angle of the two intersecting chords.

The value of m∠APB is calculated as follows;

m∠APB = ¹/₂ (arc AC - arc AB ) ( exterior intersecting secants)

The value of arc angle AC = 80⁰

The value of arc angle AB = 60⁰

Now substitute and solve for the value of angle APB as follows;

m∠APB = ¹/₂ (80 - 60 )

m∠APB = ¹/₂ ( 20 )

m∠APB = 10⁰

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The complete question is below:

In the accompanying diagram, tangent PA and secant PBC are drawn to circle O from point P. If mAC=80 and mAB=60, what is the measure of angle APB.

Answer: The equation of the line that passes through the point negative -5, 7 and has a slope of -2/5 is y = -0.4x + 5.

a) The probability that a particular section of the pavement meets the specification AND will be accepted by GDOT is 0.72 or 72%.

b) The probability that a section is poorly constructed but will be accepted on the basis of the ultrasonic measurement is 0.08.

c) The probability that if a section is constructed properly, it will be accepted on the basis of the ultrasonic measurement is 0.8.

(a) Given that past experience indicates 90% of all sections are accepted as in compliance and the ultrasonic thickness measurement is 80% reliable, the probabilities are:

Probability of meeting the specification = 1

Probability of being accepted based on the test = 0.9 * 0.8

Probability of being accepted based on the test = 0.72

(b) Given that the ultrasonic thickness measurement is 80% reliable, the probabilities are:

Probability of being poorly constructed = 0.1

Probability of being accepted based on the test = 0.8

The probability that a section is poorly constructed but will be accepted on the basis of the ultrasonic measurement is 0.1 * 0.8 = 0.08

(c) Given that the ultrasonic thickness measurement is 80% reliable, the probability of being accepted based on the test for sections that meet the specification is 0.8.

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By the Distributive Property, the expression is 7h - 70

From the question, the expression is given as

7(h − 10)

As a general rule, the Distributive Property of algebra states that

a(b - c) =a * b - a * c

Using the above as a guide, we have

a = 7, b = h and c = 10

Substitute a = 7, b = h and c = 10 in the equation a(b - c) =a * b - a * c

So, we have

7(h − 10) =7 * h - 7 * 10

Evaluate

7(h − 10) =7h - 70

Hence, the simplified expression is 7h - 70

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