What is n?
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The required probability that the captain will be a senior is 0.3125.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Neil's soccer team consists of 8 sophomore members, 14 junior members, and 10 senior members.
Total number of person = 14 + 10 + 8 = 32
The probability that the captain will be a senior, then the number of favorable events = 10

The probability that the captain will be a senior is given as,
= 10 / 32
= 0.3125

Thus, the required probability that the captain will be a senior is 0.3125.

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Answer:

54×3

27×6

(10^2)+31×2

I hope this helps

A perfect interval which  identifies the distance between the first note of a major scale and given unison, 4th, 5th or either the  octave. Those given  intervals can be given in the extra theoretical  name as “perfect”.

Perfect intervals has only basic form. The first (also called prime or unison), fourth, fifth and eighth (or octave) are all known as  perfect intervals. These intervals are known as  "perfect" since  these types of intervals sound and they provide the certain frequency ratios which  are simple  as whole numbers. Perfect intervals sound "perfectly consonant" . that means  which are played together, there is a sweet tone to the interval. It sounds perfect or resolved. Whereas, a dissonant which sounds and  feels tense and in need of  their resolution.

Interval qualities are classified  as major, minor, harmonic, melodic, perfect, augmented, and diminished. since ,lower a perfect interval by a half step it becomes a  diminished and when it is raised it to  a half step it becomes augmented of an interval .

When it is in lower and provides  a major non-perfect interval a half step and it becomes a minor interval then if we raise it  to a half step it becomes augmented level then if we raise to  lower a minor interval by a half step it becomes diminished  level , then if we raise a minor level interval a half step it becomes a major level interval.

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Answer:

[tex](x,y)\rightarrow(0,2)[/tex]

Step-by-step explanation:

[tex]\displaystyle \left \{ {{x+y=2} \atop {y-x=2}} \right.\\[/tex]

Combine system of equations on both sides:

[tex](x+y)+(y-x)=2+2\\2y=4\\y=2[/tex]

Thus,

[tex]x+y=2\\x+2=2\\x=0[/tex]

(x, y) <=>(0, 2)

Step-by-step explanation:

[tex]x + y = 2 \\ y - x = 2 \\ \\ x + (x + 2) = 2 \\ y = x + 2 \\ \\ 2x + 2 - 2 = 2 - 2 \\ y = x + 2 \\ \\ 2x = 0 \\ y = x + 2 \\ \\ x = 0 \div 2 \\ y = x + 2 \\ \\ x = 0 \\ y = 0 + 2 \\ \\ x = 0 \\ y = 2[/tex]

Answer:

C. y ≤ –3x + 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area below the solid line (the gray area)

The slope of the solid line is negative

The y-intercept of the solid line is positive

The equation of the solid line is equal to  

therefore

the equation of the inequality is equal to

The Iroquois perform rituals in "The World on Turtle's Back" to honour the twins, demonstrating their belief that they must carry out specific rituals in order to preserve the Earth.

A ritual is a set sequence of actions involving gestures, words, actions, or objects. The customs of a group, including a religious group, may dictate rituals. Formalism, traditionalism, invariance, rule-governance, sacral symbolism, and performance are characteristics of rituals but not what defines them.

All known human societies have rituals. In addition to the rites of passage, atonement, and purification, oaths of allegiance, dedication ceremonies, coronations, presidential inaugurations, marriages, funerals, and other ceremonies, they also include the worship rites and sacraments of organised religions and cults. Even routine behaviours like shaking hands and saying "hello" can be categorised as rituals.

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[tex]2x = 25-3x[/tex]

Simplify:

[tex]2x=-3x+25[/tex]

Add 3x to both sides:

[tex]2x+3x=-3x+25+3x[/tex]

[tex]5x=25[/tex]

Divide both sides by 5:

[tex]\dfrac{5x}{5} =\dfrac{25}{5}[/tex]

[tex]\fbox{x = 5}[/tex]

Answer:

The matrix does not have an inverse (D)

Step-by-step explanation:

The matrix is singular, therefore doesn't have an inverse

Answer:

24:7

Step-by-step explanation:

1 minute is 60 seconds, so 8 minutes is 480 seconds.

Then 8 minutes to 140 seconds is 480 seconds to 140 seconds, or

24:7 after reduction.

Answer: 47

Step-by-step explanation:

4.72 / .1= 47

47

Given:

The expression is:

[tex]10xy+3y+20ax+6a[/tex]

To find:

The complete factor form of the given expression.

Solution:

We have,

[tex]10xy+3y+20ax+6a[/tex]

By grouping, we get

[tex]=(10xy+3y)+(20ax+6a)[/tex]

Taking out GCF from each parenthesis.

[tex]=y(10x+3)+2a(10x+3)[/tex]

Taking out the common factors, we get

[tex]=(10x+3)(y+2a)[/tex]

Therefore, the correct option is c.

The subtraction from the given number is = 386

Subtraction is defined as one of the basic arithmetic operations used to subtract one value from another value.

340 subtracted from 726 = 386.

It means; 726 - 340 = 386

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exponential function in the form y=ab^x by identifying the common ratio (b) and y-intercept (a) in the graph and if the log term involved in the given function then it is a logarithmic

How do you identify an exponential function from a graph?

Given a graph of a line, we can write a linear function in the form y=mx+b by identifying the slope (m) and y-intercept (b) in the graph. GIven a graph of an exponential curve, we can write an exponential function in the form y=ab^x by identifying the common ratio (b) and y-intercept (a) in the graph

and if the log term involved in the given function then it is a logarithmic

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Answer:

this should explain your answer.

We can solve this equation by using quadratic formula. So we have two solution of given equation.

Write the quadratic equation in standard form a + bx + c = 0. Identify the values of a, b, c. Then write the Quadratic Formula. Then substitute in the values of a, b, c. Then solve and check the solution.

Quadratic formula that gives the solutions of the general quadratic equation a + bx + c = 0 and that is usually written in the form quadratic formula x = [-b ± √(b² - 4ac)] / (2a). So to solve a quadratic equation using quadratic formula just get the equation into standard form a + bx + c = 0 and apply the quadratic formula.

Here we have equation 5-7x+4

where a=5  b= -7   c=4

putting values in the formula

x= -(-7) +[tex]\sqrt{(-7)^2-4(5)(4)/2(5)}[/tex]

x= 7 + [tex]\sqrt{49+80/10}[/tex]

x= 7+[tex]\sqrt{129/10}[/tex]

Hence given values given two solutions.

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Complete question is: How to solve the given  quadratic equation?

The two vectors are equal in magnitude and opposite in direction. This means that they cancel each other out, resulting in a net displacement of 0.

If the total displacement of two vectors is 0, it means that the final position of an object after being displaced by the two vectors is the same as its initial position. This can happen in a few ways:

The two vectors are equal in magnitude and opposite in direction. This means that they cancel each other out, resulting in a net displacement of 0.

The two vectors are parallel but pointing in opposite directions. This means that the object is displaced in one direction and then back again, resulting in a net displacement of 0.

The two vectors are perpendicular and the magnitude of each vector is the same. This means that the object is displaced in one direction and then back again in the perpendicular direction, resulting in a net displacement of 0.

Therefore, In all cases, it can be inferred that the two vectors are in some way related to each other in terms of direction and magnitude.

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Answer:

1) y = 3/4x - 4

2) x-intercept: (-6,0) y-intercept: (0,8)

3) (-2,7)

4) slope: 2/3

Step-by-step explanation:

1) subtract 3x from both sides, divide -4 from both sides, simplify right side which gives you y = 3/4x -4

2) to get x-inter: plug in 0 for y and solve for x, the equation should look like 4x = -24, divide both sides by 4 which gives you x = -6

get y-inter: plug in 0 for x and solve for y, the equation should look like -3y=-24, divide both sides by -3 which gives you y = 8

3) plug in the points from the choices and go from there

4) slope formula: m = y2-y1/x2-x1

Answer:

Below

Step-by-step explanation:

How many times will the colony double ?    124 / 31 = 4 times

2^4   * 100 000 = 1 600 000

Answer:

[tex]\approx 12.8[/tex]

Step-by-step explanation:

1. Approach

Assume that this problem is asking for the value of the shaded region.

To solve this problem, one must find the area of the entire circle. The measure of the arc around the shaded region is given, this measure can be used to find the fraction of the arc around the shaded region is, out of the entire circle. After doing so, multiply the fraction of the arc, by the area of the circle, to find the area of the shaded region.

2. Area of the circle

The formula to find the area of a circle is the following,

[tex]A=\pi r^2[/tex]

Where ([tex]\pi[/tex]) represents the numerical value, ([tex]3.1415...[/tex]), and ([tex]r[/tex]) represents the radius of the circle. The radius of a circle is the distance from the center of the circle to the circumference of the circle, or the outside boundary of the circle.

Substitute in the given values and solve for the area,

[tex]A=\pi r^2\\\\A = \pi (7)^2\\\\A = \pi *49\\\\A\approx 153.938[/tex]

3. Find the fraction that the shaded region takes up

It is given that the arc surrounding the shaded region has a measure of ([tex]30 \degree[/tex]). The central angles theorem states that if the vertex of an arc is the center on the center of the circle, then the measure of the surrounding arc is equal to the measure of the angle. Since there are ([tex]360[/tex]) degrees in the full angle, then the fraction of the are is the measure of the arc over ([tex]360[/tex]). Use this to solve for the fraction that the angle takes up,

[tex]\frac{30}{360}[/tex]

Simplify,

[tex]\frac{1}{12}[/tex]

4. Find the area of the shaded region,

Now multiply the fraction that the arc takes up by the total area of the circle,

[tex]49\pi *\frac{1}{12}[/tex]

Multiply,

[tex]\frac{49\pi }{12}[/tex]

Convert to decimal form,

[tex]=12.82817[/tex]

Answer:

Alt int angles is 2 and 8, corresponding angles is 4 and 8, linear pair is 6 and 7, and vertical angles is 1 and 3

Step-by-step explanation:

Answer:

y = 3x + 10

Step-by-step explanation:

Parallel lines have the same slope, so the line will have a slope of 3.

Plug in the slope and given point into y = mx + b, and solve for b:

y = mx + b

4 = 3(-2) + b

4 = -6 + b

10 = b

Plug in the slope and y intercept into y = mx + b

y = mx + b

y = 3x + 10

So, the equation of the line is y = 3x + 10

Answer:

plate cost 50

cup cost 45

Step-by-step explanation:

(8×(X+5)) + (12×X) =940

x=45

therefore

plate cost 50

cup cost 45

Answer:

0 and 3??

Step-by-step explanation

Answer:

Yes.

Step-by-step explanation:

I’ve added my work attached :)
n = 250

Answer:

Box 2 :)

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

x = 10 and x=1

Step-by-step explanation:

x^2-11×+10=0

(×-10)(×-1)=0

×-10=0

×=10

×-1=0

×=1

yiu find iut two factors when u multiply will give u 10 and when u add will give u -11 so the 2 factors where -10 and -1

Answer:

about 154.3

Step-by-step explanation:

Answer:

42.602 cm

Step-by-step explanation:

<O =360/5=72°

sin <O =sin 72 = opp/adj = TA / 7

TA = 6.66 cm

Area of ABT = 7*6.66 = 42.602 cm