Inspector Butterman received 21 complimentary tickets to the play Romeo and Juliet. he has 8 officers who would like to attend. He distributes the tickets evenly among the officers. How many tickets will each officer get? How many tickets will be left over?

Probability that he chooses two different types of biscuits is 53.65 %.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.

Given

Total biscuits, n = 8

Digestive biscuits = 5

Chocolate biscuits = 3

There are two patterns to chose two different biscuits; a digestive then a chocolate or a chocolate and then a digestive.

∴ The probability of choosing a digestive then a chocolate

= [tex]\frac{5}{8}\times\frac{3}{7}[/tex]

= [tex]\frac{15}{56}[/tex]

= 0.267

The probability of choosing chocolate and then a digestive.

= [tex]\frac{3}{8} \times\frac{5}{7}[/tex]

= [tex]\frac{15}{56}[/tex]

= 0.267

Hence, The combined probability

= [tex]\frac{15}{56}+ \frac{15}{56}[/tex]

= [tex]0.536[/tex]

= 53.6 5 %

Probability that he chooses two different types of biscuits is 53.65 %.

Find out more information about probability here

https://brainly.com/question/11234923

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Step-by-step explanation:

a) ST = 7m

b) SU = 8m

c) angle R = 46deg

d) angle Q = 75deg

e) angle S = 59deg

Answer: it represents “n” which is the number of bacteria

Step-by-step explanation:

Answer:

5.33%

Step-by-step explanation:

(28,400,000÷30,000,000 ) × 100%

= 94.67%

the reduced amount = 100 - 94.67

= 5.33%

Answer:

5.333333333333334%

Step-by-step explanation:

5.333333333333334% of 30,000,000 = 1,600,000

Tip: Don't get scared by numbers, percentage don't change by how many zeros, i found this just by figuring out by: 1.6 is what percentage of 30?

You could find it on a "Percentage calculator"

Hope this helps!

Ace Carlos

Answer:

C (Y = -5/8x - 10)

Step-by-step explanation:

first find the slope (y₂ - y₁) ÷ (x₂ - x₁)

(5 - (-20)) ÷ (-24 - 16)

-5/8 = slope (m)

now that we know the slope is -5/8 we can rule out A and B

now to find the y intercept just substitute a point in for x and y

5 = (-5/8)(-24) + b

multiply

5 = 15 + b

subtract 15 from both sides tp isolate b

-10 = b

Answer:

Number of stock A = 200

Number of stock B = 300

Step-by-step explanation:

Let :

Number of stock A shares = a

Number of stock B shares = b

Worth of stock A = 50 * a = 50a

Worth of stock B = 60 * b = 60b

50a + 60b = 28000 - - - (1)

Triple the value of stock B:

3 * 60 = 180

Value of stock A goes up by 50%

(100 + 50)% * 50 = 1.5 * 50 = 75

75a + 180b = 69000 - - - (2)

50a + 60b = 28000

75a + 180b = 69000

Multiply equation 1 by 3 and subtract

150a + 180b = 84000

75a + 180b = 69000

75a = 15000

a = 15000/75

a = 200

75(200) + 180b = 69000

15000 + 180b = 69000

180b = 69000 - 15000

180b = 54000

b = 300

Answer:

D. 28 dollars

Step-by-step explanation:

42% = .42

"of" means to multiply

68.89 × .42= 28.9

28 is the closest answer.

Answer:

The answer would be D.28 dollars

Step-by-step explanation:

Its 28 dollars because,

Discount = Original Price x Discount %/100

Discount = 68.99 × 42/100

Discount = 68.99 x 0.42

You save = $28.98

Final Price = Original Price - Discount

Final Price = 68.99 - 28.9758

Final Price = $40.01

Answer:

6

Step-by-step explanation:

Identify the ones place and check the number to the right.

5.5252

Since we round up if the number to the right is greater than or equal to 5, and the number is a 5, we round up.

Therefore,

5.5252 ≈ 6

Hope this helps.

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[tex]slope = \frac{3 - 9}{ - 10 - 15} \\ [/tex]

[tex]slope = \frac{ - 6}{ - 25} \\ [/tex]

[tex]slope = \frac{6}{25} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

The slope is [tex]\frac{6}{25}[/tex] or [tex]0.24[/tex].

Step-by-step explanation:

This is the formula to calculate the slope from two given points: [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] . Now, substitute (x1, y1) and (x2, y2) for (15,9) and (-10,3). [tex]slope=\frac{3-9}{-10-15}[/tex] . That equation becomes [tex]slope=\frac{-6}{-25}[/tex] . You have to change [tex]\frac{-6}{-25}[/tex] to [tex]\frac{6}{25}[/tex] . The slope is 6/25 or in decimal form, 0.24.

Answer:

13 and -13

Step-by-step explanation:

because 17 - 4= 13 and -10 - -3 = 7 because two neg equals pas

Answer:

line represented by the equation y=−12x−5 and passes through (6,−4) ... y−6=2(x+4) ... First find the slope m for the new line, rule for a perpendicular slope is: your equation is in slope intercept form y=mx+b : ... m=−12 so your new slope m'=−1−12=2 ... graph{y=-1/2x - 5 [-18.92, 21.08, -14.56, 5.44]}.

Plz mark brainliest

Answer:

<p

Step-by-step explanation:

Answer: <p

Step-by-step explanation: I did the quiz

Answer:

y + (-3) = -8

Step-by-step explanation:

i just know

pls mark branliest

Step-by-step explanation:

10=7-m

10-7=-m

3=-m

m=-3

Answer and Step-by-step explanation:

For this two step equation, to solve for m, we need to subtract 7 from both sides, then divide by -1 to get m.

10 = 7 - m

3 = -m

-3 = m

#teamtrees #WAP (Water And Plant)

Answer: 13.56

Step-by-step explanation:

Pythagorean theorem says base^2 + perpendicular ^2 = hypotenuse^2

So base^2 + 21^2 = 25^2

Or 25^2 - 21^2 = base^2 = 184

Base = root 184 or 13.56

Answer:

d

Step-by-step explanation:

please give brainliest

Answer:

no they are not

Step-by-step explanation:

Answer:

Yes, they are perpendicular to each other.

Step-by-step explanation:

If lines are corresponding in any way, they are automatically perpendicular. These lines are corresponding to each other when switching the x and y values.

Feel free to give brainliest.

Have an excellent day!

Answer:

54 degrees

Step-by-step explanation:

Since we know that the angles are supplementary, we can set them to be equal to 180 degrees when combined.

(7x+14) + (5x-26)=180

Drop the parentheses.

7x+14+5x-26=180

Combine like terms.

12x-12=180

Add 12 to both sides.

12x=192

Divide both sides by 12.

x=16

Since the question asks for the measure of angle B, we need to plug x back into that expression to find its measure.

5(16)-26

80-26

54

Angle B has a measure of 54 degrees.

HTH :)

Answer:

84

Step-by-step explanation:

Let the first digit = x

Let the second digit =y

x + y = 12

x + 4 = 3*y

===========

From the second equation, we learn that x = 3y - 4

Put that into the first equation.

3y - 4 + y = 12          Combine the left side

4y - 4 = 12                Add 4 to both sides

4y = 16                     Divide by 4

4y/4 = 16/4        

y = 4  

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

x + 4 = 12

x + 4 - 4 = 12-4

x = 8

So the number is 84

Answer:

longest

Step-by-step explanation:

was Answer Expert Verified on a different question :)

Answer:

Longest

Step-by-step explanation:

Edgen 2021

10 cubic centimeters of a 60% alcohol solution, would mean 10 x 60% = 6 cc is alcohol the other 4 cc is water.

To make a 90% solution, the water would be 10% of the solution.

If 4 cc is 10%, the total is 40 cc.

40 - 10 = 30 cc

30 cubic centimeters needs to be added.

Answer:

2.9 x 10∧-7

Step-by-step explanation:

Answer:

2.9 × 10^-7

Hope this helps

Answer:

quadratics and absolute value

Step-by-step explanation:

they both go up but Quadratic is U and absolute value is V

Any number that is 13 to Infinity

Any number greater then 12

Assume;

Given number = a

So,

Four times a number;

4 × a

4a

Greater then 48

So,

4a > 48

By solving inequality

a > 12

So,

Any number greater then 12 is the possible value

Learn more:

https://brainly.com/question/1301963?referrer=searchResults

Answer:

Grade ano po

Step-by-step explanation:

Para maidentify ko po

Answer:

it is b !!

Step-by-step explanation:

a^2 + b^2 = c^2 :)

9514 1404 393

Answer:

  (81/43, -31/43) ≈ (1.884, -0.7209)

Step-by-step explanation:

The orthocenter is the intersection point of the altitudes of the triangle. Since this is not a right triangle, you need to find the equations of the altitude lines, then find where those intersect.

If we call the points A, B, C in the order given, the attached figure shows the altitude lines from B perpendicular to AC, and from C perpendicular to AB.

We can find the equation of the perpendicular line using the form ...

  ∆x·x +∆y·y = c

where ∆x and ∆y are the differences in coordinates between the points on the "side" and the value of constant 'c' is determined by evaluating the expression using x and y as the coordinates of the opposite vertex.

__

For line AC, we have ...

  (∆x, ∆y) = C - A = (2, -1) -(-3, 0.5) = (2+3, -1-0.5) = (5, -1.5)

Then the equation of the first altitude line is ...

  5x -1.5y = 6(3) -1.5(3) = 10.5

Multiplying by 2 puts this in standard form:

  10x -3y = 21

__

For line AB, we have ...

  (∆x, ∆y) = B - A = (3, 3) -(-3, 0.5) = (3+3, 3-0.5) = (6, 2.5)

Then the equation of the second altitude line is ...

  6x +2.5y = 6(2) +2.5(-1) = 9.5

Multiplying by 2 puts this in standard form:

  12x +5y = 19

__

Then the orthocenter is the solution to the system of equations ...

  10x -3y -21 = 0

  12x +5y -19 = 0

This set of equations can be solved a number of ways. One is the "cross-multiplication" method.

  1/(10·5 -12·(-3)) = x/(-3·(-19) -5·(-21)) = y/(-21(12) -(-19)(10))

  x = 162/86 = 81/43

  y = -62/86 = -31/43

The orthocenter is (81/43, -31/43) ≈ (1.884, -0.7209).

_____

Additional comment

The "cross multiply method" is based on cross products when the equations  are written in standard form:

  ax +by +c = 0

  dx +ey +g = 0

Usually, the coefficients are written in two rows of four, with the first column repeated at the end:

  a  b  c  a

  d  e  g  d

Then cross products are formed, where diagonal down is positive and diagonal up is subtracted from that:

  p1 = (ae -db), p2 = (bg -ec), p3 = (cd -ga)

These give the solution to the equations when put in the form ...

  1/p1 = x/p2 = y/p3   ⇒   x = p2/p1   and   y = p3/p1

If you look at videos of this "cross multiply method," they will put the 1/p1 at the end of the string of equalities, and they will use the coefficients in the order starting with b instead of a. I find the arrangement here easier to remember, so less likely to get confused.

Further comment

You can, of course, find the slopes of the lines, and their opposite reciprocals, then use a point-slope form or some other method for writing the equations of the altitude lines. The solution to the equations can proceed by substitution or elimination. No doubt these methods are somewhat familiar. The method used here tries to get to the answer much more quickly with a lot less writing. (Unfortunately, it takes a bit of writing to explain it all.)

Answer:

4,-4

Step-by-step explanation:

[tex]\sqrt16=4\\\sqrt16=-4.\\[/tex]

Both are possible. Hope this helps and if you can, hit the crown ;D