Solve for p. Show your work!!

Answer:

A)144/133225

B)1/365

Step-by-step explanation:

A) We want to find the probability that two people have a birthday on the 18th of any month.

If we Neglect leap year like the question says, it means that there are 365 days in a year.

Now, we have 12 possible number of 18th day in all months that make a calendar year.

Thus;

If two people have birthday on 18th, the probability that the two of them will have birthday on the 18th of any month is;

P(both to have birthday on the 18th of any month) = (12/365) × (12/365) = 144/133225

B) We want to find the probability that two people have a birthday on the same day of the same month. This can be written as;

P(2 people have a birthday on the same day of the same month) + P(2 people do not having birthday on same day of same month) = 1

Probability of 2 people not having birthday on same day of same month = 365/365 × 364/365 = 364/365

P(2 people have a birthday on the same day of the same month) = 1 - (364/365) = 1/365

Answer:

The required equation is: [tex]\mathbf{4x+1=2x-6}[/tex]

Step-by-step explanation:

We need to translate the statement into an equation

Let x represent the unknown number.

The sum of four times a number and 1 is equal to the difference of twice the number and 6.

I am breaking down step by step to make the equation:

Four times a number : 4x

The sum of four times a number and 1: 4x+1

Twice the number: 2x

The difference of twice the number and 6: 2x-6

So, the final equation will be:

[tex]4x+1=2x-6[/tex]

So, the required equation is: [tex]\mathbf{4x+1=2x-6}[/tex]

9514 1404 393

Answer:

  possible rational roots: ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12}

  actual roots: -1, (2 ±4i√2)/3

  no turning points; no local extrema

  end behavior is same-sign as x-value end-behavior

Step-by-step explanation:

The Fundamental Theorem tells us this 3rd-degree polynomial will have 3 roots.

The Rational Root Theorem tells us any rational roots will be of the form ...

  ±{factor of 12}/{factor of 3} = ±{1, 2, 3, 4, 6, 12}/{1, 3}

  = ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12} . . . possible rational roots

Descartes' Rule of Signs tells us the two sign changes mean there will be 0 or 2 positive real roots. Changing signs on the odd-degree terms makes the sign-change count go to 1, so we know there is one negative real root.

The y-intercept is 12. The sum of all coefficients is 22, so f(1) > f(0) and there are no positive real roots in the interval [0, 1]. Synthetic division by x-1 shows the remainder is 22 (which we knew) and all the quotient coefficients are all positive. This means x=0 is an upper bound on the real roots.

The sum of odd-degree coefficients is 3+8=11, equal to the sum of even-degree coefficients, -1+12=11. This means that -1 is a real root. Synthetic division by x+1 shows the remainder is zero (which we knew) and the quotient coefficients alternate signs. This means x=-1 is a lower bound on real roots. The quotient of 3x^2 -4x +12 is a quadratic factor of f(x):

  f(x) = (x +1)(3x^2 -4x +12)

The complex roots of the quadratic can be found using the quadratic formula:

  x = (-(-4) ±√((-4)^2 -4(3)(12)))/(2(3)) = (4 ± √-128)/6

  x = (2 ± 4i√2)/3 . . . . complex roots

__

The graph in the third attachment (red) shows there are no turning points, hence no relative extrema. The end behavior, as for any odd-degree polynomial with a positive leading coefficient, is down to the left and up to the right.

Answer:

x--1>0

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf Median: 12}}[/tex]

Step-by-step explanation:

The median is the middle number of a data set.

1. Arrange the data in ascending order (least to greatest)

2. Take one number off each end of the data until the middle is reached.

The median of this data set is 12

12 is the median of given data.

Given data : 12, 14, 0, 2, 17, 7, 3, 14, 15

The middle term of data in ascending order is it's median.

First of all, arrange the data in ascending order.

Ascending order : 0, 2, 3, 7, 12, 14, 14, 15, 17

Now, count total number of terms in given data :

Here, total number of terms, n = 9.

As, we have total number of terms as a odd number.

So, by applying formula :

[tex] \large \underline{\boxed{\sf{Median = \dfrac{n+1}{2} th \: term}}}[/tex]

[tex] \sf : \implies Median = \dfrac{9+1}{2} th \: term[/tex]

[tex] \sf : \implies Median = \dfrac{\cancel{10}^{5}}{\cancel{2}} th \: term[/tex]

[tex] \sf : \implies Median = 5 th \: term[/tex]

Now, let's count 5th term :

0, 2, 3, 7, 12, 14, 14, 15, 17

Here, 5th term is 12.

So, The median of this data is 12.

Step-by-step explanation: 6x9=54

Answer:

6*9=54

Step-by-step explanation:

when you find the area of a rectangle you should multiply two different sides of the rectangle

Answer:

The solution is X=7.4 sin38°

Answer:

Step-by-step explanation:  x=number of glasses sold

55<0.75x

55/0.75<x

x>73 ⅓

they have to sell at least 74

Answer:

No Solution.

Step-by-step explanation:

-1/2x + y = 4

y = 1/2x + 6      Transposing:

- 1/2 x + y = 6

Comparing the first and third equations we see that left sides are the same and right sides are different, so there is NO Solution.

Answer:

3.9 kilograms

Step-by-step explanation:

If we take 40% of 6.5 kilograms, which is 2.6, and subtract it from the original mass, which is 6.5, we end up with the new mass of the pumpkin which is 3.9 kilograms.

(sorry if this is confusing, but I hope it helped)

Answer:

The smallest common multiple of two or more numbers is called their Least Common Multiple.

Step-by-step explanation:

The Least Common Multiple of 3 and 4 is 12.

Answer:1 4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

9514 1404 393

Answer:

  6.75 square units

Step-by-step explanation:

The formula for the area of a rectangle of base 'b' and height 'h' is ...

  A = bh

The formula for the area of a triangle of base 'b' and height 'h' is ...

  A = (1/2)bh

That is, the area of a triangle is half the area of a rectangle with the same base and height. Here, the area of the triangle is ...

  (1/2)(13.5 square units) = 6.75 square units

Answer:

Als hot dog shack = slope is 4 ... i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

c/16

Answer:

she brought 96 horns and 84 party hats

Step-by-step explanation:

give me branliest and a heart plzzzz

9514 1404 393

Answer:

  The sale price is 90% of the original price.

Step-by-step explanation:

The original price is 100% of the original price. If 10% of the original price is subtracted, the new price is 100% - 10% = 90% of the original price.

The sale price is 90% of the original price.

__

s = 0.90×p

p = s/0.90 = 6.30/0.90 = 7.00

The original price of a ticket was $7.00.

Answer:

Chris is currently 10

Step-by-step explanation:

I'll be honest, I looked this up so sorry for stealing the points, but use the letter v to represent vanessa and c for chris

If vanessa is twice chris' age, then v=2c

Your other equation would be (v-8)=6(c-8)

Use these two equations to solve for c through a system of equations and get c = 10 or Chris' current age is 10

Answer:

Currently, Chris is 10 years old. Vanessa is 20.

Step-by-step explanation:

2x = 6x - 8, so x = 2. Meaning Chris was 2 years old 8 years ago. So if Chris was 2, that means Vanessa was 12. Add 8 to both sides, 2 + 8 and 12 + 8, we get the result of Chris being 10, and Vanessa is 20. Which does fit the twice as old part.

Answer:

1 is 6

2 is 3.5

3 is 5

4 is 8.46

Step-by-step explanation:

if not sorry :-(

Answer:

tan(20°)

YW!!

Answer:

The length of the line segment AB is 17.1

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x1,y1) and B(x2,y2), the distance between them is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We are given the points A(12,-2) and B(-4,-8). Applying the formula:

[tex]d=\sqrt{(-4-12)^2+(-8+2)^2}[/tex]

[tex]d=\sqrt{(-16)^2+(6)^2}[/tex]

[tex]d=\sqrt{256+36}=\sqrt{292}[/tex]

d = 17.1

The length of the line segment AB is 17.1

Answer:

1.75 or 1 3/4 pieces each

Step-by-step explanation:

3 pieces per apple x 7 = 21

21/12 = 1.75

The solution is 1/4 + 1/3 = 7/12

The number of apples is shared among 12 people is given by the equation A = ( 1/4 ) + ( 1/3 ) = 7/12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Let the number of apples be = 7 apples

Let the number of people be = 12 people

Now , let the number of apples each person gets be A = number of apples / number of people

Substituting the values in the equation , we get

Number of apples each person gets be A = 7/12

Now , the value 7/12 is represented as A = 1/12 + 6/12

And, cut 4 apples into thirds and cut 3 apples into fourths

Substituting the values in the equation , we get

A = ( 1/4 ) + ( 1/3 )   be equation (1)

On simplifying the equation , we get

A = ( 3 + 4 ) / ( 3 x 4 )

A = 7 / 12

Therefore , the value of A is 7/12

Hence , the number of apples shared is A = ( 1/4 ) + ( 1/3 )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

The slope is 1 and the y-intercept is 3

Step-by-step explanation:

Answer:

the starting intercept is "3" and the rise over run is "1"

Answer:

y=1/6x

Step-by-step explanation:

I don't think so.

Given:

A figure.

To find:

The angle number which is supplementary to ∠OKL.

Solution:

The angles which lie on the same side of a straight line and their sum is 180 degrees, then they are called supplementary angles.

From the given figure it is clear that ∠OKL is lies on the intersection point K of lines OJ and GL.

[tex]\angle OKL=\angle 12[/tex]

Angle 11 and angle 12 lie on the same side of the straight line GL.

So, angle 11 and angle 12 are supplementary angles.

Therefore, angle 11 is supplementary to ∠OKL.

Answer:

Exact form: 136/13

Decimal form: 10.46153846

Mixed number form: 10 6/13

Answer:

2x+y=

1 beacuse ...... i had the same question

Step-by-step explanation: