suppose that 62 percent of the graduates from your high school go on to four-year colleges, 15 percent go on to two-year colleges, 18 percent find employment, and the remaining graduates search for a job. if a randomly selected student is not going on to a four-year college, what is the probability he or she will find employment?

Answer:

either of two angles whose sum is 90°.either of two angles whose sum is 180°.

Step-by-step explanation:

The magnitude of the swimmer's resultant vector is 6.74 m/s

A resultant vector is defined as a single vector that produces the same effect as is produced by a number of vectors collectively.

The rate of change of displacement is known as the velocity.

Since the two velocities are acting perpendicular to each other , we are going to use Pythagoras theorem.

Pythagoras theorem can be expressed as;

c² = a² + b²

R² = 6.4² + 2.1²

R² = 40.96 + 4.41

R² = 45.37

R= √ 45.37

R = 6.74 m/s

Therefore the the resultant velocities is 6.74 m/s.

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The class boundaries and class intervals for the given distribution are shown. The mean, median, and sample standard deviation for the given numbers are 3.6, 3, and 4.61 respectively.

Distribution refers to the property or operation that combines two or more mathematical operations within an expression. It allows us to simplify or expand expressions by applying the operations to individual terms or factors.

The given temperature readings are given as 15, 23, 31, 39, and 47.

We know that the class mark is the average of the upper limit and lower limit of the class interval.

Hence, we can calculate the class interval by taking the difference between the lower and upper limits of the class.

The given data can be organized into a frequency distribution table as shown below.

Class Interval    Frequency Class Mark
14.5- 22.5   23-22  18.5
22.5- 30.5   31-23  26.5
30.5- 38.5   39-31  34.5
38.5- 46.5   47-39  42.5

Part-1: The class boundaries,
a) The class boundaries are the upper limit of a class and the lower limit of the following class.

We can calculate the class boundaries by using the following formula:

Class boundaries = upper limit of a class + 0.5 — (lower limit of a class — 0.5)

Class Interval    Class Boundaries
14.5- 22.5   14.5, 22.5
22.5- 30.5   22.5, 30.5
30.5- 38.5   30.5, 38.5
38.5- 46.5   38.5, 46.5

b) The class interval can be calculated as the difference between the upper limit of the class and the lower limit of the class.

We can calculate the class interval using the following formula:

Class interval = Upper limit – Lower limit

Class Interval    Class Boundaries Class Interval
14.5- 22.5   14.5, 22.5  8
22.5- 30.5   22.5, 30.5  8
30.5- 38.5   30.5, 38.5  8
38.5- 46.5   38.5, 46.5  8

Thus, the class boundaries and class intervals for the given distribution are as shown above.

Part 2: Mean, Median, and Sample Standard Deviation for the given numbers

The given numbers are: 10, 3, 6, -2, 1.

Now we can calculate the mean, median, and sample standard deviation as follows:

1. The mean is calculated as the sum of all the numbers divided by the total number of numbers.

Mean = (10 + 3 + 6 – 2 + 1) / 5 = 18 / 5 = 3.6

2. To find the median, we need to arrange the numbers in ascending order.

The median is the middle value in the list.

Hence, the median of the given numbers is 3.

3. The sample standard deviation is calculated using the following formula:

sample standard deviation = √(Σ(x–μ)²/n-1)

Where Σ represents the sum, x represents each number in the data set, μ represents the mean, and n represents the sample size.

First, we need to find the deviation of each number from the mean.

10-3.6 = 6.4
3-3.6 = -0.6
6-3.6 = 2.4
-2-3.6 = -5.6
1-3.6 = -2.6

Next, we need to square each deviation.

6.4² = 40.96
(-0.6)² = 0.36
2.4² = 5.76
(-5.6)² = 31.36
(-2.6)² = 6.76

Now, we add up all the squared deviations.

Σ(x–μ)² = 40.96 + 0.36 + 5.76 + 31.36 + 6.76 = 85.2

Finally, we can calculate the sample standard deviation.

sample standard deviation = √(85.2 / 4) = √21.3 ≈ 4.61

Therefore, the mean, median, and sample standard deviation for the given numbers are 3.6, 3, and 4.61 respectively.

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Answer: 65.7 x 10^4 should be your answer.

Step-by-step explanation: THIS IS THE CORRECT ANSWER

Answer:

6.31*10*10*10*10*10=631000

2.6*10*10*10*10=26000

631000+26000=657000

Step-by-step explanation:

the answer

The composite figure consists of two congruent parallelograms and a triangle.

A parallelogram is a quadrilateral with opposite sides parallel and congruent. Since the figure consists of two congruent parallelograms, it means that they have the same shape and size. A triangle is a three-sided polygon. In this composite figure, there is one triangle. It is important to note that the triangle is not congruent to the parallelograms.

A composite figure is a geometric figure made up of two or more basic geometric shapes, in this case, two congruent parallelograms and a triangle. Congruent parallelograms have equal corresponding side lengths and angles, which means the two parallelograms in the composite figure are identical in both shape and size. The triangle can be positioned in various ways, such as between the parallelograms or on top of one of them, to complete the composite figure.

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The Solution.

Step 1:

We shall state the formula for a slope-intercept equation.

Step 2:

We shall substitute for the values of the parameters in the formula above.

Step 3:

Presentation of the Answer.

The correct answer is 7y = 8x + 24

The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.

To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.

First, let's differentiate each term separately using the rules of differentiation.

Differentiating x²y with respect to x gives us 2xy using the product rule.

To differentiate 5, we know that a constant has a derivative of 0.

Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.

Differentiating x³ gives us 3x² using the power rule.

Now, we can rewrite the equation with its derivatives:

2xy - 2/y * dy/dx = 3x²

To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:

2xy = 2/y * dy/dx + 3x²

To isolate dy/dx, we move the term 2/y * dy/dx to the other side:

2xy - 2/y * dy/dx = 3x²

2xy = 2/y * dy/dx + 3x²

2/y * dy/dx = 2xy - 3x²

Now, we can solve for dy/dx by multiplying both sides by y/2:

dy/dx = (2xy - 3x²) * (y/2)

Simplifying further, we have:

dy/dx = xy - (3/2)x²y

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Answer:

(4x+5)(x-3)

Step-by-step explanation:

You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.

Answer:

$595

Step-by-step explanation:

85x7=595

Answer:

I belive the total change is $595

Step-by-step explanation:

My explanation is that you take $85 and times it by 7

The value of the variable k must equal to - 2 such that the line segment MS is perpendicular to the line segment OP.

According to analytical geometry, two lines are perpendicular to each other if the product of their slopes are equal to - 1. Slopes can be determine by secant line formula:

m₁ = (5 - 8) / [- 2 - (- 6)]

m₁ = - 3 / 4

m₂ = [(k - 2) - (- 20)] / [13 - (k + 3)]

m₂ = (k + 18) / (10 - k)

(- 3 / 4) · [(k + 18) / (10 - k)] = - 1

(- 3 / 4) · (k + 18) = - (10 - k)

- 3 · (k + 18) = - 4 · (10 - k)

- 3 · k - 54 = - 40 + 4 · k

7 · k = - 54 + 40

7 · k = - 14

k = - 2

The value of the variable k must equal to - 2 such that the line segment MS is perpendicular to the line segment OP.

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Answer:

it is kinda blurry

Step-by-step explanation:

can you help medo my question please i am begging u??

its is in my profile

Answer:

98.19

Step-by-step explanation:

Volume of whole cube minus volume of cylinder. volume of cylinder is pi x r^2 x h

The volume of remaining solid is 46.44 in³

Volume is the measure of the capacity that an object holds.

For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object. The volume of a solid like a cube or a cuboid is measured by counting the number of unit cubes it contains. The best way to visualize volume is to think of it in terms of the space.

Here are the steps to calculate volume of any solid shape:

edge= 6

Volume of cube= l³

= 6*6*6

=216 in³

Now, Volume of cylinder

=πr²h

= 3.14 * 3 * 3 * 6

=169.56 in³

Volume of remaining solid= 216- 169.56

=46.44 in³

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As we know that

♦ Area of rectangle = Length × breadth

Substituting known values ,

⇒ 144x⁴ = 12x ( Length )

⇒ 144x⁴ / 12x = Length

⇒ 12x³ = Length

⇒ Length = 12 x³

Answer:

8  people

Step-by-step explanation:

The complete factorization of 3x⁵- 75x³ is:- 3x³(x + 5)(x - 5)

How to solve factor?

To factor completely the expression 3x⁵ - 75x³, we can first factor out the greatest common factor (GCF) of the two terms, which is 3x³:

3x³(x² - 25)

Next, we can factor the expression inside the parentheses using the difference of squares formula:

3x³(x + 5)(x - 5)

Therefore, the complete factorization of 3x⁵ - 75x³ is:

3x³(x + 5)(x - 5)

We can check that this is the correct factorization by using the distributive property of multiplication and verifying that the product of the factors is equal to the original expression:

3x³(x + 5)(x - 5) = 3x³(x² - 25)

= 3x³x² - 3x³(25)

= 3x⁵ - 75x³

So the factorization is correct.

In summary, to factor completely an expression like 3x⁵ - 75x³, we should first factor out the GCF and then look for further factorization opportunities using various factorization techniques such as the difference of squares formula, the sum or difference of cubes formula, or the quadratic formula. It's important to remember to check our work by multiplying the factors back together to ensure that we get the original expression.

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Answer:

the 3rd one... -4x + 9x

Step-by-step explanation:

your are basically subtraction 9 to 4 and thats 5

Answer:

64

Step-by-step explanation:

The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 …

Answer:  60 dollars

===============================================

Work Shown:

x = original price

y = sale price

The sale price is always smaller than the original price, so y < x.

The equation linking the two variables is

y = 0.8x

since 80% = 80/100 = 0.8

We know the sale price is $48, which means y = 48. This leads to:

y = 0.8x

0.8x = y

0.8x = 48

x = 48/0.8

x = 60

The original price was $60

Note: since the sale price is 80% of the original price, this must mean that we have a 20% discount (100% - 80% = 20%)

The 100th digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 is 0.

First, let's convert the number (1 .fi.)3000 into its decimal representation. This is done by dividing 3000 by 10 raised to the power of the number of digits following the decimal point, which in this case is 3. We get the answer 1000, or 1.000.
Now, we can look at the 100th digit to the right of the decimal point. This will be the 0th digit from the right of the decimal point, which is 0. Therefore, the 100th digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 is 0.

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Answer:

4x + 3y − 18

Step-by-step explanation:

Simply 4x - 18 + 3y = 4x + 3y − 18

Answer: (-3, 2)

Step-by-step explanation:

Linear system graph is shown below, the system of equations has exactly one solution, which is (x, y) = (1, 2)

A direct condition in one variable is a numerical condition that can be written in the structure "ax + b = c", where "x" is the variable and "a", "b", and "c" are constants.

Here given system equations are: y = (x + 1) and y = (-x + 3), we can set the expressions for y equal to each other:

⇒ (x + 1) = (-x + 3)

⇒ 2x = 2

⇒ x = 1

for corresponding value of y, substitute x = 1 in original equations:

y = (1 + 1) = 2

Therefore, the system of equations has exactly one solution, which is (x, y) = (1, 2)

We can check this algebraically by plugging in these values for x and y into both equations:

y = (x + 1) ⇒ 2 = (1 + 1) ⇒ 2 = 2

y = (-x + 3) ⇒ 2 = (-1 + 3) ⇒ 2 = 2

Since both equations are satisfied, our solution (x, y) = (1, 2) is correct. Both the lines crosses at point (1, 2) shown in below.

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Answer:

386% is the 1 3/4 and the other is 239% I think?

Step-by-step explanation:    

Answer:House=4,225ft^2

Step-by-step explanation:

(15)^2+100(15)+2,500

=225+1,500+2,500

=4,225

(a) The area of the house is \(x^2+100x+2500 \; \; ft^2\)

(b) Area of the extension

House =4225 ft^2

Important information :

The area of the house is represented  by quadratic expression

\((x+50)^2\)

To find out the product to multiply x+50 twice

\((x+50)(x+50)\)

Apply FOIL method to multiply the parenthesis

\((x+50)(x+50)\\x^2+100x+2500\)

The area of the house is \(x^2+100x+2500 \; \; ft^2\)

(b) given x=15. To find area of extension , we replace x with 15 in the answer we got from part (a)

\(x^2+100x+2500 \\x=15\\(15)^2+100(15)+2500 \\225+1500+2500\\4,225\)

Area of the extension

House =4225 ft^2

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The probability that a fixed graph G' with vertex set V' and edge set E' is a subgraph of a simple random graph G with vertex set V and edge set E can be calculated using the probability parameter p.

To determine the probability that G' is a subgraph of G, we consider the edges in G' and calculate the probability that each edge exists in G. Since the edges in G are determined independently with probability p, the probability that each edge in G' is present in G is simply p. As there are 2^(|E'|) possible subgraphs of G' and each has a probability of p^(|E'|) of occurring, the probability of G' being a subgraph of G is (p^|E'|).

Note that this analysis assumes that the graph G is a simple random graph, where each pair of vertices is adjacent with probability p independently. The specific value of p and the structure of G' determine the probability of G' being a subgraph of G.

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We may deduce from the average speed that the aircraft must have at least once during the flight attained a speed of 478.72or higher.

This implies that the aircraft must have surpassed 100 mph once while descending to its average speed following takeoff.

So,

We can write,

The speed of the aircraft decreased throughout the arrival from its usual speed to 100 miles per hour before returning to zero at the destination.

Based on the given conditions,

Total distance of the flight = 2250 miles

Flight takeoff time = 2:00 pm

Arrival time of the flight = 7:40 pm

So,

The total time taken by the flight to cover 2250 = 4 hours 40 minutes

The total time is taken by the flight to cover 2250 = 4.7 hours

Then,

The average speed of the plane =Total distance/ total time

We can substitute values,

total distance = 2250,

total time = 4.7 hours

The average speed of the plane = 2250÷4.7

The average speed of the plane  is 478.72 miles per hour

From the average speed we can analyze that the plane must have reached the speed of 478.72 or more at least once during the journey this also concludes that the plane must have reached the speed of 100 miles per hour once while reaching to the average speed after the takeoff.

Hence,

During the arrival, the speed of the plane also reached went from the average speed to 100 miles per hour and then zero at the arrival destination

Therefore,

There were at least two times during the flight when the speed of the plane was 100 miles per hour.

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The example of a  hypothesis is: a person is innocent until proven guilty. The statement is true

Here the given situation is

A person is innocent until proven guilty.

The hypothesis test is defined as the test in statistics whereby an analyst tests an assumption regarding a population parameter. In hypothesis test using the data from the different types of t sample and the determine the other parameters of the population

The null hypothesis is defined as the a statement of what the statistician expects NOT to find.

Here the given situation is a person is innocent until proven guilty. Therefore, it is a null hypothesis.

In hypothesis test we assume that null hypothesis until it is proven

Therefore, the given statement true

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Answer:

\(\Large \boxed{\mathrm{weight \ increases}}\)

Step-by-step explanation:

Taking the formula for weight:

\(\sf Weight = mass \cdot acceleration \ of \ gravity\)

\(W=m \cdot g\)

The mass will remain the same.

\(\upuparrows W=m \ \ \cdot \upuparrows g\)

As the force of gravity increases, the weight increases.

\(\downdownarrows W=m \ \ \cdot \downdownarrows g\)

As the force of gravity decreases, the weight decreases.

Answer:

sorryyyyy

Step-by-step explanation:

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