9.5% of Undergraduate students study abroad. 60% of those who study abroad are female. 49 % of those who do not study abroad are female. calculate probability of a female student studying abroad .

Marta's rope is 10 inches shorter than three times the length of David's rope and they measure 120 inches long together , then Marta's rope is 77.5 inches long and David's rope is 32.5 inches long.

Let's call the length of David's rope x.

According to the problem, Marta's rope is 10 inches shorter than three times the length of David's rope, so we can write an equation for Marta's rope:

length of Marta's rope = 3 * x - 10

And the combined length of both of their ropes is 120 inches, so we can write another equation:

x + (3 * x - 10) = 120

Expanding the second equation and solving for x, we get:

4x - 10 = 120

Adding 10 to both sides:

4x = 130

Dividing both sides by 4:

x = 32.5

So, David's rope is 32.5 inches long.

We can use the first equation to find the length of Marta's rope:

length of Marta's rope = 3 * x - 10 = 3 * 32.5 - 10 = 87.5 - 10 = 77.5 inches

So, Marta's rope is 77.5 inches long.

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The total area of the composite figure is 484 square feet.

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

Given:

A composite figure is shown.

To find the complete area:

Here, we have dissected three figures separately.

So, the complete area,

= The area of the triangle with a height 22 feet and base 8 feet +

the area of the rectangle with a length 16 feet and width 22 feet +

the area of the triangle with a height 4 feet and base 22 feet

=  (1/2 x 22 x 8) + (16 x 22) + (1/2 x 4 x 22)

= 88 + 44 + 352

= 484 square feet.

Hence, the area is 484 square feet.

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Answer:

  4

Step-by-step explanation:

You want to know how many more questions Brian needed to answer correctly to get a passing grade of 60% on his 85-question test, given that he answered correctly 70% of the 20 arithmetic problems, 40% of the 30 algebra problems, and 60% of the 35 geometry problems.

The number of correct answers Brian supplied was ...

  0.70·20 +0.40·30 +0.60·35 = 14 +12 +21 = 47

The number of correct answers Brian needed for a passing grace was ...

  0.60·85 = 51

Brian needed to answer 51 -47 = 4 more questions correctly to earn a passing grade.

Answer:

16 candy bars

Step-by-step explanation:

We know

Each candy bar cost costs $0.75

Billy buys candy bars for $12.50

How many candy bars did he buy?

We take

$12.50 divided by $0.75 = 16 candy bars

So, he bought 16 candy bars.

Answer:

16 2/3 candy bars.  Usually you cannot buy 2/3 of a candy bar so I am wondering if a number was copied incorrectly.

Step-by-step explanation:

12.50/.75 = 16 2/3 candy bars

16 candy bars would cost $12.00

16 x .75 = 12.00

The value of cos B in the fraction is 12/37.

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

Given:

A right-angled triangle.

The trigonometric identity:

Cos B = Adjacent leg of the triangle/ Hypotenuse of the triangle

Cos B = 12/37

Therefore, Cos B = 12/37.

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Answer:

31.4 in^2

Step-by-step explanation:

Circumference formula: pi times 2 times radius

so equation would be 3.14 (pi value) times 2 times 5 and you get your answer

Option 234 cm is the correct option.

The measurement equivalent to 2.34 meters is: 234 cm

To convert meters to centimeters,

you multiply the number of meters by

100.

So, 2.34 meters multiplied by 100 is equal to 234 centimeters.

An object is only identified or classified using numbers on a nominal scale, which is a measuring scale. Only non-numeric (quantitative) factors or situations where numbers have no meaning are often addressed by this assessment.

By increasing the number of metres by 100, one may convert measurements from metres to centimetres. One metre equals one hundred centimetres, or 1 m = 100 cm, as is common knowledge.

Cm is used to represent it in writing. It may also be described as the unit of length in the current metric system, the International System of Units (SI). It is equal to one hundredth of a metre.

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Answer:

Median

Step-by-step explanation:

I took the test myself.

Answer:

6.3×10^6

Step-by-step explanation:

6.3×10^6

in standard form

The probability of not selecting a green marble is equal to the total number of non-green marbles in the bag divided by the total number of marbles in the bag.

To calculate the probability: there are three green marbles out of a total of twenty-five marbles, so the probability of selecting a green marble is 3/25.

The likelihood of not selecting a green marble is then 1 - 3/25 = 22/25.

This is equal to 22/25 * 100 = 88% as a percentage.

As a result, P(not green) = 88%

Probability denotes the possibility of something happening. It is a mathematical branch that deals with the onset of a random event. The value ranges from zero to one. Probability has been tried to introduce in mathematics to predict the probability of events occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also used in probability distribution, in which you will learn about the possible outcomes of a random experiment.

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a) Median will be an appropriate measure for the distribution. b) Mean will be an approprate measure for the distribution.

Here we already have the data available to us. From the data, we can clearly see that

Mode < Mean < Median

Hence this is a negatively skewed distribution.

Therefore the appropriate measure of central tendency for this distribution will be the median. The median will tell us the point at which the frequency is divided by 50%.

Hence we can say that the median will a more appropriate measure.

Now if the data has another aspect of sex included, then the frequency column would be divided into separate columns with each gender identity taking up its own column.

Since now this will become multivariate data, the best measure of central tendency will be Mean.

The difference in the measure of central tendency will depend upon how skewed the data for every sex will be. For example, if in a country, men preferred to be educated over women, then the mean for men will be a lot higher than that of women. On the other hand, the EDUC for women will be a lot lower.

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The percent markup of a department, if they sell 300 shirts at a cost of $9 each is 50%

According to the question, we learn that a department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. This means :

The selling price of 300 shirts = 300 × $9

The selling price of 300 shirts = $2700

Selling price > cost price i.e., 2700 > 1800

when selling price is greater than cost price it means department store made a profit.

Profit = selling price - cost price

Profit = 2700 - 1800 = $900

Profit percentage = profit/ cost price × 100

Profit % =[tex]\frac{900}{1800} \times 100[/tex]

Profit % = 50%

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Los múltiplos de 5 son 5,10,15,20,25,30,35,40,45,50,..........

Los múltiplos son números que se multiplican por un número con un entero positivo (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, etc.). En términos simples, un múltiplo es el producto de un número con otro número (enteros enteros, no fracciones ni decimales).

Los números múltiples son mayores o iguales que el número en sí. Esto se debe a que el primer múltiplo se multiplica por 1. Entonces, el primer múltiplo es el número mismo. Un número o números pueden tener múltiplos de una lista ilimitada de múltiplos. Porque los números se pueden multiplicar continuamente por otros enteros más grandes.

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Answer:

591.2 kilometers

Step-by-step explanation:

times 295.6 × 2 and you will get 591.2

Answer:

the answer is B) and E)

Step-by-step explanation:

it's not that complicated, just have to subtract 12 from 37

Answer:This is a right triangle.One of the legs has a length of 20.

Step-by-step explanation:

A mathematical theorem is a statement that contains hypotheses, conclusions, and proofs.

Mathematics revolves around the theorems. A thorough proof is a specific kind of logical reasoning that has been used to demonstrate the truth of a claim, which is what a theorem is.

"When n is higher than 2, there are no pretty much the entire number answers to the problem xn + yn = zn." This equation, also referred to as "Fermat's Last Theorem," was presented for the first time by French scientist Pierre de Fick in 1637 and had baffled the world's greatest minds for further than three centuries.

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The equation of the line with a slope of -2/5 and passing through the point (5, -8) in standard, slope-intercept, form is; y = -0.4·x - 6

An equation consists of expressions and or numbers, expressed to be equivalent, by joining them with an '=' sign.

A standard form of the equation of a straight line is the slope-intercept form, which can be presented as follows; y = m·x + c

Where;

m = The slope of the graph of the equation

c = The y-intercept

The equation in the slope-intercept form can be obtained from the point-slope form, using the details of the slope of the graph of the equation (-2/5), and the point through which the graph of the equation passes (5, -8)

The point-slope of the equation is therefore;

y - (-8) = (-2/5)×(x - 5)

y + 8 = -2·x/5 + 2

y = -2·x/5 + 2 - 8 = -2·x/5 - 6 = -0.4·x - 6

The equation with a slope of -2/5 and passing through the point (5, -8), therefore is; y = -0.4·x - 6

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The correct time when the displays on the clocks next agree is 01:00.

Let's assume that one hour on the normal clock is equal to x.

The clock that goes twice as fast takes x/2 hours to show one hour on the normal clock.

And the clock that goes backward takes 24 - x hours to show one hour on the normal clock.

At 13:00, both clocks show the correct time.

So, x/2 + x = 24 - x + x.

Simplifying the equation:

24 = x + x/2

Multiplying both sides by 2:

48 = 2x + x

Subtracting x from both sides:

48 - x = 2x

Solving for x:

x = 24

So, one hour on the normal clock is equal to 24 hours.

The clock that goes twice as fast will show one hour in 24/2 = 12 hours.

And the clock that goes backward will show one hour in 24 - 24 = 0 hours.

So, when the displays on the clock next agree, it will be 12 + 0 = 12 hours after 13:00, which is 01:00.

So the correct time when the displays on the clocks next agree is 01:00.

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The value of the x-coordinate of the solution will be -2. Then the correct option is C.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equations are given below.

y = (5/2)x + 2         ...1

y = - x - 5              ...2

From equations 1 and 2, then we have

(5/2)x + 2 = - x - 5

(7/2)x = -7

x = -2

The value of the x-coordinate of the solution will be -2. Then the correct option is C.

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Answer:

[tex]c=2\sqrt{13[/tex]

Step-by-step explanation:

In a right triangle, to find the hypotenuse (c) you use Pythagoras theorem. Which is [tex]a^2+b^2=c^2[/tex]. Once we plug in our variables we get [tex]6^2+4^2=c^2[/tex], then we solve.

[tex]36+16=c^2[/tex]

[tex]52=c^2[/tex]

[tex]\sqrt{c^2} =\sqrt{52}[/tex]

[tex]c=\sqrt{52}[/tex]

If we simplify...

[tex]c=2\sqrt{13}[/tex]

The longest line segment that can be drawn in a right rectangular prism with dimensions of 14 cm long, 13 cm wide, and 9 cm high is about 21.2 cm.

The right triangular face's hypotenuse is another name for this diagonal, which is also referred to as the space diagonal.

In this instance, the right triangle face with sides of 14, 13, and 9 cm can be taken into consideration. With the Pythagorean theorem in use,

we have:

14² + 13² + 9² = c²

196 + 169 + 81 = c²

446 = c²

c = [tex]\sqrt(446)[/tex]

c = 21.2 cm (rounded to the nearest tenth)

So the longest line segment that can be drawn in a right rectangular prism with dimensions of 14 cm long, 13 cm wide, and 9 cm high is about 21.2 cm.

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There are 6 cars that hold 3 people and 9 cars that hold 5 people.

Let's call the number of 3-passenger cars "x" and the number of 5-passenger cars "y".

We know the total number of cars is 15, so:

x + y = 15

We also know that the total number of passengers is 63, so:

3x + 5y = 63

Now we can use the first equation to solve for one of the variables in terms of the other:

y = 15 - x

Substitute this expression for y into the second equation:

3x + 5(15 - x) = 63

Expand

3x + 75 - 5x = 63

Evaluate like terms:

2x = 12

Divide both sides by 2:

x = 6

Recall that

y = 15 - x

So, we have

y = 15 - 9

y = 6

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Answer:

-9

Step-by-step explanation:

3(5)-3(4)•y

3(5)-3(4)•2

15 - 12 · 2

15 - 24

-9

Answer:

To solve the equation 3(5) - 3(4)•2, we need to simplify each term and then substitute the value of 2 for y.

Starting with the first term:

3(5) = 15

Next, the second term:

-3(4)•2 = -24

So, putting it all together:

15 - 24 = -9

So when y is 2, the equation simplifies to -9.

Step-by-step explanation:

Answer:that is correct it is 2/9

Step-by-step explanation:

Answer:

I'd say about a couple

you're welcome

The value of x is √12.73 when Barrett is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

Definition of Pythagoras Theorem:

The square of the long side of a right-angled triangle is equal to the sum of the squares of the other two sides.

It is stated in this formula:

[tex](side)^2+(side)^2=(hypotenuse)^2[/tex]

Given that,

Barrett is focusing on a rectangle-shaped structure on the school's property. He is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

We must determine what x stands for.

We know that,

The height of building is 32x.

The width is 46x

The diagonal is 200 feet

So we form a triangle

From the Pythagoras theorem,

Hyp² = Side²+ Side²

200² = (32x)² + (46x)²

40000 = 1024x² + 2116x²

3140x² = 40000

x² = 12.73

Square root on both sides

x = √12.73

Therefore, The value of x is √12.73 when Barrett is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

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