Which pairs of events describe independent events?

Answer:

(C) $111.83

Step-by-step explanation:

If Sonya buys four pairs of shoes, each on a buy one get one 50% off, that means that we can find the value if she bought ONE deal of buy one get 50% off one, then multiply that by 2 (as if you do the deal, you are paying for two.)

The shoe costs $35, and if we have a 50% discount on it:

[tex]35\cdot0.5=17.5[/tex]

So the cost of the shoe ON DISCOUNT is 17.50, however the first pair still stays the same.

So the cost of two pairs of shoes using the discount is [tex]35+17.5 = 52.5[/tex]

So four pairs cost [tex]52.5\cdot2 = 105[/tex]

However, there is a tax of 6.5%

So we can multiply 105 by 1.065 to get the cost after tax.

[tex]105\cdot1.065=111.825[/tex]

This simplifies down to 111.83.

Hope this helped!

Answer:

57

Step-by-step explanation:

The answer is 57 because if angle 4 is 123 and angle 4 is equal to angle 3 then angle 3 is also 123. Then you would subtract 180 - 123 which is equal to 57.

Answer:

TKL is 57°

Step-by-step explanation:

since angle 3 is equal to angle 4 and angle 4 equals 123°, then angle 3 is 123°

subtract 123 from 180 then you get 57

Answer:

-1/3

Step-by-step explanation:

The slope of the line can be found by

m = (y2-y1)/(x2-x1)

    = ( 7-8)/(5-2)

    = -1/3

Answer:

-1/3.

Step-by-step explanation:

The slope can be found by doing the rise over the run.

In this case, the rise is 8 - 7 = 1.

The run is 2 - 5 = -3.

So, the slope is 1 / -3 = -1/3.

Hope this helps!

Answer:

Step-by-step explanation:

[tex](x + 2)(x - 3)[/tex]

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL)

[tex]x(x - 3) + 2(x - 3)[/tex]

Calculate the product

[tex] {x}^{2} - 3x + 2x - 6[/tex]

Collect like terms

[tex] {x}^{2} - x - 6[/tex]

Hope this helps..

Best regards!

Answer:

Step-by-step explanation:

Given, (x+2) (x-3)

Multiply every term

(x)(x) + (2)(x) + (-3)(x) + (-3)(2)

x^2 + 2x - 3x -6

x^2 - x -6

HOPE IT HELPS :)

GOOD LUCK WITH YOUR ASSIGNMENT!

Step-by-step explanation:

you can use any value either in place of x or y to find the corresponding coordinate but if you want to find the x and y intercept you can desigate x as zero and find the y intercept and vice versa.

so to find x and y intercept

y=25x+3. to find x intercept designate y as zero

0=25x+3

-3=25x

x= -3/25. p( -3/25,0)

y=25x+3 to find y intercept designate x as zero

y=25(0)+3

y=3. p(0,3)

the above y and x intercept indicates the points that the line of equation pass through when drawn graphically.

Answer:

Proved

Step-by-step explanation:

2 sin square( 45°-A)

(therefore;

by trigonometry ratios

sin45°=1)

=2sin2(1-A)

=2sin(1-A)

=1+sin2A

hence proved

I HOPE THIS WILL HELP YOU

If yes mark me brainliest and follow me..

Tysm

Answer:

14.42 units

Step-by-step explanation:

Assuming that this is a right triangle (i.e ∠ACB = 90°), we can use the Pythagorean formula to solve this:

AB² = AC² + BC²

AB² = 12² + 8²

AB = √(12² + 8²)

AB = 14.42 units

Answer:

1/4

Step-by-step explanation:

The slope of a graph is always the rate of change for every value of x, in this case, days. Since she is adding 1/4 of a mile to her run each day, this means that the slope of this linear relationship is 1/4.

She increases a full mile in 4 days, just a little note.

Answer:

The correct option is;

c. ∠A ≅ ∠D

Step-by-step explanation:

The given information are;

[tex]\overline{AB}\cong \overline{DE}[/tex]                      

[tex]\overline{AC}\cong \overline{DF}[/tex]

Therefore, for Side Angle Side, SAS, condition of congruency, we have;

The included angle should be congruent that is ∠C ≅ ∠D

Two triangles, triangle ABC and triangle XYZ for example, having two adjacent sides, AB and AC in triangle ABC and XY and XZ in triangle XYZ of corresponding length such that AB ≅ XY and AC ≅ XZ and also having congruent included angles between the two sides (∠A ≅ ∠X), the two triangles are said to be congruent.

For triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D

SAS means, side-angle-side congruence theorem, which states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent angles that are included angles (in between the two congruent sides).

Therefore, for triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D

Learn more about SAS congruence theorem on:

https://brainly.com/question/14252518

Answer:

Part 2:

The shape of a banana cut in 45° angle is that of a curve that is closed with the appearance of a flattened circle or an oval similar to an ellipse therefore having two focal points

The drawing of the angle cross section of a cylinder representing the banana is attached

Part 3:

When the banana is cut in half, perpendicular to the base of the banana, the shape formed is circular withe the center of the banana being about the same location as the center of the circle

The drawing of the perpendicular cross section of a cylinder representing the banana is

Step-by-step explanation:

Answer:

4 Pi

Explanation:

72/360 = 1/5 so the length of the arc is (1/5) the circumference or

(1/5) ( 2 Pi * 10)  => C = 2 Pi r

(20/5) Pi =

4 Pi

Answer:

  an = 5n -7

Step-by-step explanation:

Try the offered formulas with n= 1 and see which gives you the first term of the sequence.

an = -2n +3

  -2(1) +3 = 1 . . . . not -2

an = -2n +7

  -2(1) +7 = 5 . . . . not -2

an = 5n +3

  5(1) +3 = 8 . . . . not -2

an = 5n -7

  5(1) -7 = -2 . . . . this is the formula you want

_____

If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.

Answer:

win-263889 loss-236111

Step-by-step explanation:

1:the guys throws the dice twice no charge for this

2:for every face the first time there is a chance of getting the others or the same face e.g round 1-1 round 2-(either 123456)

3:I drew a probability tree to get the sum

like if I got 1and1 then sum is 2 I did it for the rest

4:I got P of (even)=17/36 and for (odd)=19/36

5:then the organizer has to pay if it's even and there 1 million throws Wich means the probability he will lose is the probability of getting an even sum for 500000 throws and for winning is the probability of getting odd sums in those 500,000 throws

6: 500k is because only after it's thrown twice were there charges

Answer:

everything

Step-by-step explanation:

because in statistics we represent data in classes and you can't have a class of one number since the histogram a class has to have limits hope it helps

Answer:

Step-by-step explanation:

This problem can be solved by applying the permutation strategy since it has to do with the number of ways of selection

Given

Number of items= 3

Therefore 3!= 3*2*1= 6

Hence the number of ways they can distribute the shirt among themselves is 6 ways

Answer:

y = 4

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{4\sqrt{3} }[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross-  multiply )

y × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 4

Answer:

y=4

Step-by-step explanation:

If we have a triangle with angles A, B, and C. The law of sines says that the proportion between the sin of angle A and its opposite side is equal to the proportion between the sin of angle B and its opposite side and it is equal to the proportion between the sin of angle C and its opposite side.

So, by the law of sines we can say that:

[tex]\frac{sen(60)}{4\sqrt{3} } =\frac{sen(30)}{y}[/tex]

Solving for y, we get:

[tex]sin(60)*y=4\sqrt{3}*sin(30)\\\frac{\sqrt{3} }{2}y=4\sqrt{3}*0.5\\ \frac{1}{2} y=4*0.5\\y = 4[/tex]

Answer:

B. [tex]100 = 132.12sin2\theta[/tex]

Step-by-step explanation:

Given the horizontal distance in meters traveled by a projectile modeled by the function [tex]h = \frac{v_o^{2} }{4.9}sin\theta cos\theta[/tex]. If the initial velocity is 36 meters/second, the equation we would you use to find the angle needed to travel 100 meters is shown below;

[tex]h = \frac{v_o^{2} }{4.9}sin\theta cos\theta[/tex]

from trigonometry identity,

[tex]sin2\theta = 2sin\theta cos\theta\\sin\theta cos \theta = \frac{sin2\theta}{2}[/tex]

The equation will become;

[tex]h = \frac{v_o^{2} }{2*4.9}(sin2\theta)\\[/tex]

[tex]h = \frac{v_o^{2} }{2*4.9}sin2\theta[/tex]

Given h = 100 meters and v = 36 m/s

[tex]100 = \frac{36^{2} }{9.8}sin2\theta\\100*9.8 = 1296sin2\theta\\100 = \frac{1296}{9.8} sin2\theta\\100 = 132.12sin2\theta[/tex]

Answer:

132.12sin(2theta)=100

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

f(5) = (5*3)+2

f(5) = 17

Q;- Marx and Engels believed that a. people in a good environment would behave unselfishly. b. people should create utopian communities. c. the capitalist system should be destroyed. d. workers should improve conditions by taking political office. Please select the best answer from the choices provided A B C D

A;- Marx and Engels believed that the capitalist system should be destroyed.

Answer: Griffin charge $79.854 to his credit card when he bought the sneakers.

Step-by-step explanation:

Griffin ordered a pair of sneakers online.

Value of each credit point = 1 cent

Then , value of 16 credit points = 16 cents = $0.16 [1$ = 100 cents]

Cost of shoes = Rs $80

Charge to credit card = (Cost of shoes) - (Value of 16 credit points)

= $(80-0.16)

= $79.84

Hence, Griffin charge $79.854 to his credit card when he bought the sneakers.

Answer is 66.

I hope it will help you:)

Answer:

= 66

Step-by-step explanation:

The two integers are -22 and -24, because they are both even and consecutive, and adding them equals -46.

-24 divided by 4 is -6, and -22 plus 11 is -11

Now all we have to do is find the product (multiply  -11 and -6)

And this gives us the answer: 66

Answer:

The center is (2,8)

Step-by-step explanation:

The equation of a circle is written as

(x-h)^2+ (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-2)^2+(y-8)^2=33

The center is (2,8) and the radius is sqrt(33)

Answer:

x = -6    x = -1

Step-by-step explanation:

We want to solve using the zero product property

x^2+7x=-6

Add 6 to each side

x^2 +7x +6 = 0

Factor

What 2 numbers multiply to 6 and add to 7

( x+6) (x+1) =0

Using the zero product property

x+6 =0          x+1 =0

x+6-6 =0-6    x+1-1 = 0-1

x = -6    x = -1

Answer:

65

Step-by-step explanation:

The sum of the first 16 terms of an arithmetic progression (A.P) is 240

The sum of the next 4 terms is 220

The sum of n terms in an A.P is given by;

[tex]s_{n}[/tex] = n/2(2a + (n - 1)d)

240 = 8(2a + 15d) ... (i)

460 = 10(2a + 19d) .... (ii)

Simplifying this gives;

2a + 15d = 30 ... (i)

2a + 19d = 46 ... (ii)

Subtracting (i) from (ii) we get;

4d = 16

d (common difference) = 4

and a (first term) = (30 - 60)/ 2 = -15

The sequence upto 21 terms is here:

-15, -11, -7, -3, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 51, 55, 59, 61, 65

So the next term (21^st term) is 65.

Answer:  a₂₁ = 65

Step-by-step explanation:

The Sum of an Arithmetic Progression is the sum of the first term plus the sum of the last term divided by 2 and multiplied by the number of terms.

[tex]a_1\ \text{is the first term}\\a_n=a_1+d(n-1)\quad \text{is the value of the nth term}\\\\[/tex]

Let's find the 16th term (n = 16)

[tex]a_{16}=a_1+d(16-1)\\\\.\quad =a_1+15d[/tex]

Now let's find the sum of the first 16 terms. This will be Equation 1:

[tex]S_{16}=\dfrac{(a_1)+(a_1+15d)}{2}\times 16=240\\\\\\.\qquad 8(2a_1+15d)=240\\\\\\.\qquad 2a_1+15d=30\qquad \leftarrow \text{Equation 1}[/tex]

************************************************************************************

Repeat what we did above for the next 4 terms (n = 17 to n = 20). This will be Equation 2:

[tex]a_{17}=a_1+d(17-1)\\\\.\quad =a_1+16d\\\\\\a_{20}=a_1+d(20-1)\\\\.\quad =a_1+19d[/tex]

[tex]S_{17-20}=\dfrac{(a_1+16d)+(a_1+19d)}{2}\times 4=220\\\\\\.\qquad 2(2a_1+35d)=220\\\\\\.\qquad 2a_1+35d=110\qquad \leftarrow \text{Equation 2}[/tex]

*********************************************************************************************

Now we have a system of equations. Solve using the Elimination Method:

2a₁ + 15d = 30   → -1(2a₁ + 15d = 30)     →    -2a₁ - 15d = -30    

2a₁ + 35d = 110  →  1(2a₁ + 35d = 110)    →     2a₁ + 35d = 110  

                                                                             20d = 80

                                                                                  d = 4

Input d = 4 into one the equations to solve for a₁:

Equation 1: 2a₁ + 15d = 30

                  2a₁ + 15(4) = 30

                    2a₁ + 60 = 30

                             2a₁ = -30

                               a₁ = -15

Given a₁ = -15 and d = 4, we can find the next term (n = 21)

[tex]a_n=a_1+d(n-1)\\\\a_{21}=-15+4(21-1)\\\\.\quad =-15+4(20)\\\\.\quad = -15+80\\\\.\quad = 65[/tex]

Answer:

Step-by-step explanation:

Hypotenuse always have the highest number than base and perpendicular.

Hypotenuse ( h ) = 15

Base ( b ) = 9

Perpendicular ( p ) = 12

Let's see whether the given triangle is a right triangle or not

Using Pythagoras theorem:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

Plugging the values,

[tex] {15}^{2} = {12}^{2} + {9}^{2} [/tex]

Evaluate the power

[tex]225 = 144 + 81[/tex]

Calculate the sum

[tex]225 = 225[/tex]

Hypotenuse is equal to the sum of perpendicular and base.

So , we can say that the given lengths of the triangle makes a right triangle.

Hope this helps..

Best regards!!

Answer:

[tex]\boxed{Yes.}[/tex]

Step-by-step explanation:

To solve this equation, we can use the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are regular side lengths and [tex]c[/tex] is the hypotenuse.

Now, just substitute the side lengths into the formula and solve!

[tex]9^2 + 12^2 = 15^2[/tex]    Simplify the equation by taking each value to its power.

[tex]81 + 144 = 225[/tex]    Simplify by adding like terms.

[tex]225 = 255[/tex]

Therefore, this is indeed a right triangle.

Answer:

f(-1) = 12

Step-by-step explanation:

Using the graph for f(x)  let x=-1

Find the y value when x= -1

f(-1) = 12

Answer:

Project A : $58,000

Project B: $52800

Project A should be selected as it has a higher expected profit value than project B

Step-by-step explanation:

Given the following:

PROJECT A:

Profit : ---------50000--90,000--10,000

Probability: ----0.6-------0.3--------0.1

PROJECT B:

Loss of 20,000 = -20,000 in profit terms

Profit : -----100,000--64,000--(-20,000)

Probability: ----0.1-------0.7--------0.2

Expected profit:

Profit value * probability of profit

Expected profit on project A:

[(50000*0.6)+(90000*0.3)+(10000*0.1)

30000 + 27000 + 1000 = $58000

Expected profit on project B:

[(100000*0.1)+(64000*0.7)+(-20000*0.2)

10000 + 44800 - 4000 = $50800

Project A should be selected as it has a higher expected profit value than project B

Answer:

Just add 6 to the right side of 3 which will make as 36

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36

Hope it helps u...pls mark as brainliest

Answer:

a) x° = 108°

b) vertically opposite angles (C) justifies my answer.

Answer:

The answer is option c.

Its an vertically opposite angle because when two lines intersect eachother then theangles formed opposite to it is called v.o.a (vertically opposite angle)

Hope it helps...

Answer:

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Step-by-step explanation:

Using Poisson distribution  where

t= number of units of time

x= number of occurrences in t units of time

λ= average number of occurrences per unit of time

P(x;λt) = e raise to power (-λt)  multiplied by λtˣ divided by x!

here λt = 25

x= 30

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E= exponent)

P (x=30) = 1.204 E31/30!

Solving it with a statistical calculator would give

P (x=30) = 0.0454

The probability that the next failure will not occur before 30 months have elapsed is 0.0454