Prove that the angle pqr is a right angle
Pls show full working out ty

Answer:

The probability of a student to be in the orchestra or the band is 0.07 or 7%.

Step-by-step explanation:

The probability of a student to be in the orchestra or the band is given by the following formula:

p(orchestra or band) = p(orchestra) + p(band) - p(orchestra and band)

p(orchestra or band) = 0.03 + 0.05 - 0.01

p(orchestra or band) = 0.08 - 0.01

p(orchestra or band) = 0.07

The probability of a student to be in the orchestra or the band is 0.07 or 7%.

Final answer:

The probability that a student is in orchestra or band is 7%.

Explanation:

To calculate the probability that a student at Lincoln High School is in either orchestra or band, we will use the formula for the probability of the union of two events, P(A ∪ B) = P(A) + P(B) - P(A ∩ B), where P(A) is the probability of being in orchestra, P(B) is the probability of being in band, and P(A ∩ B) is the probability of being in both orchestra and band.

In this case, we have been given that 3% of students are in orchestra, 5% are in band, and 1% are in both.

Therefore, we have:

Applying the formula:

P(orchestra OR band) = P(orchestra) + P(band) - P(both orchestra and band) = 0.03 + 0.05 - 0.01 = 0.07

Therefore, the probability that a student is in either the orchestra or the band is 7%.

Answer:

C). 30 I just learned about this!

Step-by-step explanation:

If the smaller diamond is 12 and the bigger one is 36 then its times 3 and whatver you do to the top you do to the bottom so it would be 10 times 3 which would equal 30! (:

Answer:

C - 30

Step-by-step explanation:

Since one side of the smaller diamond is 12 and the side on the bigger diamond is 36 it is 3 times the perimeter on each side so since the side on the small diamond is 10 then you would times it by three to get the perimeter of the side on the bigger diamond , which is 30 .

2.375

Answer:

if the slash (/) is  dividing then your answer would be

608

if the slash (/) means to multiply your answer would be

2.375

Step-by-step explanation:

if you were dividing then you have to do the opposite equation.In this case the opposite of dividing is multiply. Multiply the numbers you have then it will give your missing factor.

(Same goes with multiplying)

Answer:

Either 43 or 88

Step-by-step explanation:

45/3 = 15 (one witch)

21/3 = 7 (one broom)

12/3 = 4 (one spoon)

PEMDAS:

Equation: 15 + 7 x 4

if there are parenthesis and the equation looks like:

(15 + 7) x 4

the answer is 88.

if there is NOT parenthesis and the equation looks like:

15 + 7 x 4

the answer is 43.

Answer:

31

Step-by-step explanation:

witch with spoon and wand equals 15 each...wand = 7 spoon =3

Answer:

Price             Qd1     Qd2    Qs

25                     75000    60000    45000

30                    60000    55000    45000

35                    45000    50000    45000

40                     30000    45000    45000

45                      15000    40000    45000

[Find the attachment for the graph]

Final answer:

The equilibrium price for the Seattle Mariners baseball team's seats can be found using economic principles of supply and demand, taking into account factors that influence ticket demand, marginal revenue, and costs.

Explanation:

The question involves determining the equilibrium price for Seattle Mariners baseball team seats. This can be addressed using principles from Economics, specifically the supply and demand model. To determine the equilibrium price, one would need to establish the demand curve, which includes factors such as the population and income of the home city, the team's standing, and the number of superstars on the team. As economists such as Ferguson et al. suggest, the marginal cost for sports teams is often assumed to be zero due to the fixed costs of stadium operations. Therefore, the profit-maximizing quantity of seats sold is where marginal revenue is zero. This can be calculated and visualized with a graph showing both demand and marginal revenue curves. Additionally, adjustments such as the addition of new seats or external fees like licensing can affect the equilibrium dynamics, thus changing the equilibrium price and the total revenue.

Answer:

8.9 ft

Step-by-step explanation:

Use Pythagorean theorem,

a² + b² = c²

√(a² + b²) = c

The diagonal is the hypotenuse of the rectangular pool table.

So,

√(4² + 8²) = c

√(16 + 64) = c

√(80) = c

8.944... = c

Nearest tenth:

8.9

Answer:

the answer is b

Step-by-step explanation:

nun

Answer:

If you take a number and 'subtract" it with another number, it means that you take your second number and remove that amount from the first number

If this helped, say thanks on my profile ;)

Answer:

Definition of subtraction sign. : a mathematical symbol used to indicate that a particular quantity is to be subtracted from another to which it is joined by the symbol : a symbolic representation of the relation of subtrahend and minuend —symbol −

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

The vertical asymptote is where the denominator goes to zero

3(x-8) =0

Divide by 3

(x-8) =0

Add 8 to each side

x-8+8=0+8

x=8

The vertical asymptote can be find by solving the 0 of the denominator.

3(x - 8) = 0

3x - 24 = 0

3x - 24 + 24 = 0 + 24

3x = 24

3x/3 = 24/3

x = 8

Besr of Luck!

Answer:

m = -18

Step-by-step explanation:

-34=m-16

+16. +16

-18 = m

Answer:

m = -18

Step-by-step explanation:

to evaluate for the correct answer of this problem , we would simply combine the like terms together.

solution

-34=m-16

-34 + 16 = m

-18= m

m = -18

Answer:32 cm2

Step-by-step explanation:Use the formula A=BH, The 7 does not count because it isn't base or height. Use 4 times 8 which will make 32 cm2.

Area of the parallelogram is 32 cm²

Given that;

Base of parallelograms = 8 cm

Height of parallelograms = 4 cm

Find:

Area of the parallelogram

Computation:

Area of the parallelogram = l × b

Area of the parallelogram = 8 × 4

Area of the parallelogram = 32 cm²

Find out more information about 'Parallelogram'.

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Answer:

A

Step-by-step explanation:

vertical are always opposite each other

complementary are 180

supplementary are 90

Answer:

(3,1/125) and (-1,5)

Step-by-step explanation:

plug in the first coordinate (x-coordinate) in each pair for x in the original equation and the second coordinate (y-coordinate) for g(x)

Answer: -4

Step-by-step explanation:

If you replace x for 0 it will eliminate the variable. The only remaining term without a variable is -4

Answer:

B. [tex]\left[\begin{array}{ccc}-18&10\\5&-3\end{array}\right][/tex]

Step-by-step explanation:

The question is off edg. it is supposed to be [tex]\left[\begin{array}{ccc}4&3\\-1&-1\end{array}\right] * \left[\begin{array}{ccc}-3&1\\-2&2\end{array}\right][/tex] with multiple options. I just used the matrix calculator on edg.

Answer:

13/8

Step-by-step explanation:

Answer:

Three and one fourth plus seven eigths

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

The equation of a circle gives the positions of points inside or on its circumference. A point is outside the circle if the substitution in the equation results in a value greater than the square of the circle's radius.

To understand this, we need first to understand the equation of a circle which is defined in the format (x-a)² + (y-b)² = r², where (a,b) is the center of the circle and r is the radius.

In this case, (a,b) = (5,-3) and r = 4. So, the equation of the circle becomes (x-5)² + (y+3)² = 16. Any point (X,Y) that satisfies this equation is inside or at the circumference of the circle. If the computation yields a result greater than 16, the point is outside the circle.

Let's take a point for example: (3,-1). Substituting the values gives (3-5)² + (-1+3)² = 4 + 4 = 8 which is less than 16, hence, lies inside the circle. But for a point like (10,0), it results in (10-5)² + (0+3)² = 25 + 9 = 34 which is greater than 16, so the point (10,0) is outside the circle.

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Answer:

The length of the shelf is 129 cm or 1290 mm.

Step-by-step explanation:

Since Samuel will use the two boards to make the shelf, then the total length of the shelf is the sum of the lengths of each board. So in order to solve this problem we must do as shown bellow:

length shelf = length board1 + length board2

length shelf = 84 + 45 = 129 cm

In order to convert this to milimeters we must multiply the answer above by 10. So we have:

length shelf = 129*10 = 1290 mm

The length of the shelf is 129 cm or 1290 mm.

Answer: 129 cm = 1290 mm

Step-by-step explanation:

Hi, to answer this question we simply have to add the length of both boards.

Mathematically speaking:

Total length = 84 cm + 45 cm = 129 centimiters

Since:

1 cm = 10mm

To convert 129 cm to mm we have to multiply it by 10.

129 cm x 10 mm/cm =1290 mm

Feel free to ask for more if needed or if you did not understand something.

Answer:

3840 cubic inches

Step-by-step explanation:

10*24 = 240 in

240*16 = 3840 cubic in

Answer:

y   = 3x+3

Step-by-step explanation:

We know the y intercept since it crosses the y axis at (0,3) and we know the x intercept since it crosses the x axis at (-1,0)

We can fidn the slope

m = (y2-y1)/(x2-x1)  (0,3) (-1,0)

     =(0-3)/(-1-0)

     = -3/-1

      =3

The equation for the line is in the form

y = mx +b where m is the slope and b is the y intercept

y   = 3x+3

Answer:

[tex]x^{2} \\[/tex]+3x

Step-by-step explanation:

2x(2x+1)

x(x+1)

2[tex]x^{2}[/tex]+2x-[tex]x^{2}[/tex]+x

=[tex]x^{2}[/tex]+3x

Answer:

x=1/2

Step-by-step explanation:

1.). add 7x to both sides

       12x=6

2.) divide by 12 to get x by itself.

       x=6/12

3.) simplify the fraction and you get the answer!

       x=1/2

Answer:

150 ft/min

Step-by-step explanation:

The change in altitude per minute will have the units of ft/min.

We see that we are given the number of feet: 2250 ft, as well as the number of minutes: 15 min.

So, to get ft/min, we can divide 2250 ft (the distance) by 15 min (time) to get the rate: 2250/15 = 150 ft/min

Thus, the change in altitude per minute is 150 ft/min.

Hope this helps!

Answer:

-15 per minute

Step-by-step explanation:

2250/15 = 150

Since it's descending, height is decreasing.

Hence rate of change of height is -15 per minute

Answer:

P=3x-14

Step-by-step explanation:

P=2(x+1/2 x-7)

=2x+x-14

or P=3x-14

The perimeter of the garden will be;

⇒ 3x - 7/2

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The garden is shown in figure.

Width of garden = 1/2x - 7

Length of garden = x

Now,

Since, Width of garden = 1/2x - 7

Length of garden = x

Hence, The perimeter of garden = 2 (Length + Width)

⇒ The perimeter of garden = 2 (x + 1/2x - 7)

⇒ The perimeter of garden = 2 (3/2x - 7)

⇒ The perimeter of garden = 3x - 7/2

Thus, The perimeter of the garden will be;

⇒ 3x - 7/2

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Answer:52

Step-by-step explanation:

To find this

Total ratio=3+4

=7

Find the amount share

7/4×39

=91

So, to get a share's

3/7×91

=52

Answer:

63/380

Step-by-step explanation:

Initially,

# of Mysteries, M = 9

# of Biographies, B = 7

# of Sci. Fiction, S = 4

Total number of books = 9 + 7 + 4 = 20 books

P (first book selected is biography) = 7/20

After selecting 1 biography book,

# of Mysteries, M = 9

# of Biographies, B = 7 - 1 = 6

# of Sci. Fiction, S = 4

Total number of books remaining = 9 + 6 + 4 = 19 books

P (second book selected is a mystery) = 9/19

Hence (P first book is biography and 2nd book is mystery)

= (7/20 )(9/19)

= 63/380

The probability of selecting a biography then a mystery is 0.14.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, a bookshelf contains 9 mysteries, 7 biographies, and 4 science fiction books.

Total number of outcomes = 9+7+4

= 20

The probability of selecting a biography = 7/20

The probability of selecting a mystery = 9/20

Probability of an event = 7/20 × 9/20

= 56/400

= 0.14

Therefore, the probability of selecting a biography then a mystery is 0.14.

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The value of x is -9 and 3.Option D.

Step-by-step explanation:

Given,

[tex]-x^{2} +27 = 6x[/tex]

To find the value of x.

We will apply middle term factor formula.

The given equation can be written as,

[tex]x^{2} +6x-27 = 0[/tex]

or, [tex]x^{2}[/tex]+(9-3)x-27 = 0

or, x²+9x-3x-27= 0

or, x(x+9)-3(x+9)=0

or, (x+9)(x-3) = 0

So, x = -9 and x = 3

Hence,

The correct option is Option D.

Answer:

Option D - $81.75

Step-by-step explanation:

Given : Jake earns 15% commission on the total amount he sells. If he sells $545 worth of items.

To find : How much commission  does Jake earn?

Solution :

Using the commission formula,

[tex]\text{Commission}=\text{Sales}\times \text{Percentage}[/tex]

[tex]\text{Commission}=\$545\times 15\%[/tex]

[tex]\text{Commission}=545\times \frac{15}{100}[/tex]

[tex]\text{Commission}=81.75[/tex]

Therefore, commission  does Jake earn is $81.75.

So, option D is correct.