my school's math club has 6 boys and 8 girls. i need to select a team to send to the state math competition. we want 6 people on the team. in how many ways can i select the team to have more girls than boys?

The value of the equation is x=20.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here the given equation is

=> 2(x-5)=9-3x+6+8+3x+7

Now simplify the equation for x then

=> 2x-10 = 30-3x+3x

=> 2x-10=30

=> 2x=30+10

=> 2x=40

=> x=20

Hence the value of the equation is x=20.

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Answer: 1 moles KI = 166.00277 gram using the molecular weight calculator and the molar mass of KI.

Step-by-step explanation

Answer was found by using the molecular weight calculator and the molar mass of KI.

Hope this helps :)

Answer:

75y - 360y²

Step-by-step explanation:

ANSWER

3y × 5 (5-6y x 4)

Multiply the monomials

15y (5-24y)

Apply the Distributive Property

15y × 5-15y × 24y

Multiply the monomials

75y - 360y²

I hope it is useful to you.

Answer:

The percent mass composition of zinc in the brass sample is:

(mass of zinc / total mass of sample) x 100%

(4.21 g / 12.00 g) x 100% = 35.08% zinc

So the brass sample contains 35.08% zinc by mass.

To find the percent mass composition of copper in the sample, you can use the information that the sample is made of copper and zinc only, so you can use the difference between 100% and the percent zinc:

100% - 35.08% = 64.92% copper

So the brass sample contains 64.92% copper by mass.

The highest point scored is by Carlos with 19 points. Mario's highest was 15. so, Carlos scored 4 points more than Mario.

In the 7th game, Carlos scored 19 points which is the highest point of his game. In the 1st game, Mario scored 15 points which was the highest point he scored. Therefore, Carlos had the highest scoring game between the two of them. Carlos scored 4 points more than Mario did in his highest-scoring game. You can also construct a box plot for this question which will help you visualise this better. The box plot can be made by drawing a number line and marking the following points: minimum, first quartile, median, third quartile and maximum.

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The full question is:

Mario and Carlos, two brothers, play for the same basketball team. Here are the

points they scored in 10 games:

Game 1 2 3 4 5 6 7 8 9 10

Mario 15 X X 12 7 11 12 11 10 11

Carlos 10 X 9 12 15 X 19 11 12 12

(Xs mark games each one missed.) Which brother had the

highest-scoring game? How many more points did he score in

that game than the other brother did in his highest-scoring game?

Answer:

product would be 6x^2-3x

Step-by-step explanation:

don't know the rest

Answer:

yes

Step-by-step explanation:

On solving the provided question, we can say that by permutation  900 games were actually played; N = 900/45 = 20

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order.

The number of matches would be if each player faced each other once.

[tex]^{10}C_2[/tex] = 10! / 2! 8!

= 10 X 9 / 2 = 90/2

= 45

Given that 900 games were actually played,

N = 900/45 = 20

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Answer: 2m+4

Step-by-step explanation:

To simplify, we need to combine "like terms", which means terms that are similar in that it is either just a number or a coefficient and variable. In this case, 3m and -m are like terms, and -6, 2, and 8 are like terms.

Now, we can combine.

-6 + 3m + 2 -m + 8

-4 + 3m - m + 8

4 + 3m - m

4 + 2m (also can be written as 2m + 4)

hope this helps!

1 and 2 are the factors of 2.

2 is a prime number, it has only two factors, 1 and 2. Also, we also know that the factors of 2 are the exact divisors of that number. There is another way to represent the factors of any number, by arranging the number of objects.

It is the only number when added and multiplied to itself brings the same result, 4. Factors of 2 can be positive and negative as well.

Prime factors of 2, and factors of 2 in pairs along with solved examples for a better understanding. Factors of 2 are all the numbers which on multiplying give the result of 2.

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Answer: 1750 calories

Step-by-step explanation:

[tex]\frac{700calories}{12oz} * 30 oz = 1750 calories[/tex]

Answer:

r = 5.6

Step-by-step explanation:

To solve this problem, we need to isolate r on one side of the equation. To do this, we need to subtract 2.3 from both sides, giving us:

2.3 + r = 7.9

r = 5.6

So, r = 5.6

Hope this helped!

Answer:

5.6

Step-by-step explanation:

2.3+r=7.9

r=7.9-2.3

r=5.6

The number of solutions which the system of equations has is: A. no solution.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data point (0, 3), a linear equation of the first line can be calculated in slope-intercept form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 3 = (4 - 3)/(3 - 0)(x - 0)

y = 1/3(x - 0) + 3

y = x/3 + 3

For the second line, we have:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y + 2 = (-1 + 2)/(3 - 0)(x - 0)

y + 2 = x/3

y = x/3 - 2

In conclusion, we can logically deduce that the given system of linear equations has no solution because it represents parallel lines.

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The deviations of the data values as calculated form the data given in the question is found out to be as 1698.

The formula to calculate the mean is ,

mean = fixi / n

Therefore ,

mean =  93+172+109+119+54+164+143 / 7  = 861/7 = 731.42

Now, to calculate the standard deviation,

= √∑ (fx)²/ n

he value of  y²  as calculated is found out to be as ,

y² =  10190.

Therefore, SD = √(10190)²/ 7=  38.1

Now , variance is equal to the square of the standard deviation ,

or variance  = ∑  ( y)² / n-1

=  10190 / ( 7-1)

= 10190 /6

= 1698.

The sum of these deviation thus , is not zero.

The variance is defined as the expectation of a random variable's squared departure from its mean value, and it is used to determine how far a set of values is spread out from its mean.

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Answer:

19 tables, f(19) = $280

1 table, f(1) = $33

Step-by-step explanation:

Let f(x) be the money Serenity makes each day, where x is the number of tables she serves.

Her saily income includes a fixed injcome of $20/day, plus $13/table in tips.

We can write f(x) = $20 + $13x

When x = 19, f(19) = $280

When x = 1, f(1) = $33

The components of the torque about the origin when the force acts in

(a) the positive x direction is 1.4N.

(b) the negative z direction is 2.21N.

What is constant force of magnitude?

The motion of a particle occurs on a plane and is influenced by a force of constant magnitude that is always perpendicular to the particle's velocity.

Given:

A particle is located at vector r = (0.54m)i + (-36m)j +(.85m)k constant force of magnitude 2.6 N acts on the particle.

We have to find the torque about positive x direction and negative z direction.

At  the positive x direction the torque is (T)

= the x component of position vector . F

= 0.54 x 2.6

= 1.4 N

At negative z direction Torque = - (z component of position vector).F

                                                   = .85 x 2.6

                                                   = 2.21 N

Hence,

The components of the torque about the origin when the force acts in

(a) the positive x direction is 1.4N.

(b) the negative z direction is 2.21N.

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Assume that x represents the window's rectangular portion's width and y represents the window's rectangular portion's height. The width of the rectangular component of the window is equal to the diameter of the semicircle portion since the semicircle with diameter d is atop the window, or x = d.

x = circle diameter = window width

r = x/2 and y = window height

We'll now solve for the window's perimeter. The top section of the rectangular window is not included since it is continuous with the semicircular component of the window, therefore the perimeter of the rectangle portion is x + 2y, and the perimeter of the circular portion is x/2 (which is half the circumference of a circle).

hence:

P = x2y + πx/2 = 2r + 2y + πr

We will now find a solution for the light that passes through the window. Assuming that transparent glass transmits one light per square inch, tinted glass transmits just one light per square inch.

The area of the rectangle component multiplied by the clear glass light constant, or 1*2ry = 2ry, will determine the rectangular light. The semicircular component will be equal to (1/4)*r2/2, which is the tinted glass light constant multiplied by half the area of a circle. Hence,

L = 2ry + πr2/8

Isolating y from the perimeter equation now will allow us to enter that value of y into the light equation.

L = r(P - r(2 + )) + r2/8 y = (P - r(2 + ))/2

P is a constant, hence the only variables in the light equation are  We can differentiate L with respect to r (i.e. dL/dr) and solve for when dL/dr = 0 to find the point at which the light transmitted is at a maximum.

dL/dr = P - 2r(2 + π) + πr/4

0 = P - 2r(2 + π) + πr/4

r = 4P/(16 + 7π)

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Answer:

Step-by-step explanation: the area of the shape is the length times width or base times height. It's our length is 12 Are with this eight. And when you multiply 12 times eight, we get 96 feet squared, which is the area of our rectangle. I think its a rectangle.

The volume of the parallelepiped with adjacent edges PQ, PR, and PS     is V=4  

Given three vectors, there is a product, called scalar triple product, that gives (the absolute value of it), the volume of the parallelepiped that has the three vectors as dimensions.

So

PQ=(-2-2,1-3,0-2)=(-4,-2,-2)

PR=(-2-1,-1-4,0+1)=(-3,-5,1)

PS=(-2-3,1-6,0-1)=(-5,-5,-1)

The scalar triple product is given by the determinant of the matrix (3×3)

that has in the rows the three components of the three vectors:

|-4 -2 -2|

|-3 -5 +1|

|-5 -5 -1|

and the determinant is given for example with the Laplace rule choosing the first row:

a(ad-bc)-b(ad-bc)+c(ad-bc)

=-4[(−5)(−1)−(1)(−5)]−(−2)[(−3)(−1)−(1)⋅(-5)]+(−2)[(−3)(−5)−(−5)(-5)]

=-4[5+5]+2[8]-2[-10]

-4(10)+16+20

=-40+36

V=-4

So the volume is: V=|−4|=4

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No, the absolute value of a number is always non-negative, meaning it is greater than or equal to zero, but it is not always equal to zero.

The absolute value of a number represents the distance of that number from 0 on the number line and a number can be positive or negative.

For example, the absolute value of 5 is 5, which is greater than zero. The absolute value of -5 is also 5, which is also greater than zero. The only time the absolute value of a number is equal to zero is when the number is zero, |0| = 0.

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Answer:

An absolute value function is a function in algebra where the variable is inside the absolute value bars. This function is also known as the modulus function and the most commonly used form of the absolute value function is f(x) = |x|, where x is a real number.

Answer:

Step-by-step explanation:

hi

Answer:

Step-by-step explanation:

hi

Answer: Just 1

Step-by-step explanation:

The absolute value is always positive, so there is just 1.

The probability that no more than 75 of passengers in the sample have a balcony is given as follows:

0%.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters of the binomial distribution are given as follows:

n = 1000, p = 1200/(4300 + 1200 + 2100) = 0.158.

Hence the mean and the standard deviation for the normal approximation are given as follows:

Using continuity correction, the probability that no more than 75 of passengers in the sample have a balcony is P(X < 75.5), which is the p-value of Z when X = 75.5, hence:

Z = (75.5 - 158)/11.5

Z = -7.17

Z = -7.17 has a p-value of 0.

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Given that 19 students completed the first quiz, the probability that the same children who finished the first exam also passed the second quiz is P(S/F) = 0.63.

How possible something is to happen is determined by its probability. By dividing the whole significance level by the total number of ways an event could occur, one can calculate the likelihood.

In this situation, conditional probability is used. P represents the conditional probability like an occurrence, A, given that B has occurred (AIB). We would estimate the likelihood as

P(AIB) is defined as (Probability of A and B)/Probability of B.

Probability of S and F in the iven question is 12/21. (12 of the students in the class passed both quizzes)

Probability of S = 19/21

Therefore,

P(SIF) = (12/21) / (19/21)

(PSIF) = 12/21 * 21/19

(PSIF) = 12/19 = 0.63

The correct option is A

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The complete question is-

Mr. Brown's statistics class consists of 21 seniors. The class took two quizzes in one week, and 12 of the students in the class passed both quizzes. What is the probability that the same students who passed the first quiz also passed the second quiz given that 19 students passed the first quiz?

A. P(S/F) = 0.63

B. P(S/F) = 0.2

C. P(S/F) = 0.8

D. P(S/F) = 1.31

When the parallel lines are cut by a transversal, the values for the measurement of ∠2 and ∠4 is 124° each.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. Both horizontal and vertical shapes are possible.

Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.

In the given diagram the parallel lines are cut by a transversal.

The measure of angle 5 is, m∠5 = 56°.

It is known that each pair of interior angles on the same side of a transversal that cuts two parallel lines are supplementary, or they add up to 180 degrees.

So, m∠5 + m∠2 = 180°

56° + m∠2 = 180°

m∠2 = 180° - 56°

m∠2 = 124°

Now, as it can be seen in the image ∠2 and ∠4 are vertically opposite angles.

So, they will be congruent or equal to each other.

So, it is obtained that -

m∠2 = m∠4

m∠4 = 124°

Therefore, the measures of angles are m∠2 = 99° and m∠4 = 99°.

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The two digit number is 54 and the system of equations that models the given scenario is x + y = 9 and x - y = -1, where x and y are the digits of the two-digit number.

Let the two-digit number has digit x in tens place value and y in ones place value, then the two digit number is

10x + y

As the sum of the digits is 9

x + y = 9

When the two-digit number is reversed, the resulting two-digit number would be

10y + x

As it is given that this resulting number is 9 greater than original number

10y + x = (10x + y) + 9

Subtracting x and y on both sides

10y + x - y - x = 10x + y + 9 - y - x

9y = 9x + 9

Dividing by 9

y = x + 1

Rearranging

x - y = -1

So the system of equation representing this scenario is

x + y = 9

x - y = -1

To solve for x

Add the equations

(x + y) + (x - y) = 9 + (-1)

2x = 8

Dividing by 2

x = 4

To solve for y, substitute x in first equation

4 + y = 9

Therefore y = 5

Thus the original number is

10x + y = 10×4 + 5

= 45

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So the first time between 4:00 and 5:00 that the minute and hour hands of the clock are perpendicular to each other to the nearest second is 4:06.

The minute hand of a clock moves 360 degrees in 60 minutes, or 6 degrees per minute.

The hour hand moves 360 degrees in 12 hours, or 30 degrees in 1 hour, or 30 degrees in 60 minutes, or 0.5 degrees per minute.

At 4:00, the minute hand is pointing straight up (12 o'clock), and the hour hand is pointing at 4 o'clock.

To find the first time that the hands are perpendicular, we need to find the first time that the difference between the angle of the minute hand and the angle of the hour hand is 90 degrees.

We know that the minute hand moves 6 degrees per minute and the hour hand moves 0.5 degrees per minute, so for every minute that passes, the angle between the hands increases by 5.5 degrees.

Each consecutive hour has 30 degrees in between, so angle between 12 and 4 is

4×30 = 120°

So,

At 4:00 the angle between the hands is

120°

At x minutes after 4, the angle is

120 - 5.5x

So to solve for x when angle is 90°

120 - 5.5x = 90

x = 30/ 5.5

x = 5.45 minutes

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The main difference between an equation and an inequality is in an equation the elements are equal but in an inequality the elements are compared.

A relationship between two expressions or values that are not equal to each other is called inequality.

An equation has an answer that equals a number. An inequality has an answer that could be less than or more than or less than or equal to or more than or equal to.

For example:  You have some money in your pocket. You want to buy some snacks for tonight's match, but your wife told you to buy one pizza on your way back to home that costs $10. That means that on snacks you can spend (y) :

y ≤ x - 10     where x represents money in your pocket.

This means that from money in your pocket you have to subtract $10 for pizza and out of the remaining money you can spend some part of it on snacks or all of it.

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The angular velocity is 0.14 rad/sec.

The velocity of the Ferris wheel if it becomes disengaged from the motor and rolls away is 17.44 ft/sec.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Diameter of the Ferris wheel = 250 feet

The radius of the Ferris wheel = 125 feet

Now,

The linear velocity v = wr

Where w is the angular velocity.

The angular velocity.

w = v/r

The linear velocity v.

v = 2πr/T

v = (2 x 3.14 x 125) / 45

v = 17.44 ft/sec

The angular velocity.

w = v / r

w = 17.44/125

w = 0.14 rad/sec

Thus,

Angular velocity is 0.14 rad/sec.

The velocity of the Ferris wheel after disengaging from the motor is

17.44 ft/sec.

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