Type the correct answer in the box. spell the word correctly. the probability of event a is 0.65, and the probability of event b is 0.76. the probability of both event a and event b occurring is 0.494. are events a and b dependent or independent? in this scenario, events a and b are events.

Step-by-step explanation:

A. First, convert 30 minutes to a hour.

[tex] \frac{30 \: mins}{1} \times \frac{1 \: hour}{60 \: mins} = 0.5 \: hours[/tex]

[tex]4 + 0.5 = 4.5 \: hours[/tex]

Now, we can subsitue.

Part A: 1.

[tex]d(t) = 6 + 5.5 \cos( \frac{\pi}{6}(4.5) ) [/tex]

[tex]d(t) = 6 + 5.5 \cos( \frac{3\pi}{4} ) [/tex]

Part B:

[tex] \cos( \frac{3\pi}{4} ) = - \frac{ \sqrt{2} }{2} [/tex]

so

[tex]6 + 5.5( - \frac{ \sqrt{2} }{2} )[/tex]

which is approximately

2.11. feet.

Part C: The depth of the water is approximately 2.11 feet in 4.5 hours, or 4 hours and 30 minuties.

Answer:

first find the slope

finding slope

y2-y1/x2-x1

-5-4/5-3

-9/2

then the slope is -9/2 or -4.5

then y=mx+b

y=-4.5x+b

then replace y=-4.5x+b

replace y by 4 and x by 3

4=-4.5times 3 +b

4=-13.5+b

b=17.5

then the equation is y=4.5x+17.5

if you have any question ask me thank you

Answer:

Step-by-step explanation:

I guess it is 65 because the table said so

Answer: 10 units

Step-by-step explanation:

     We will use the distance formula and solve. Let (3, 0) be point 1 and (-3, -8) be point 2.

d = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]

d = [tex]\sqrt{(-3-3)^{2} +(-8-0)^{2} }[/tex]

d = [tex]\sqrt{(-6)^{2} +(-8)^{2} }[/tex]

d = [tex]\sqrt{36 +64}[/tex]

d = [tex]\sqrt{100}[/tex]

d = 10

            The distance between the two points given is 10 units.

Trigonometric function gives the ratio of different sides of a right-angle triangle. The value of Cos(x), if the value of Sin(x) is 0.3 is 0.954.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As the value of  sin(x) is given to us, therefore, we will find the value of x firstly,

[tex]\rm Sin(x)=0.3\\\\x = Sin^{-1}\ 0.3\\\\x = 17.4576[/tex]

Therefore, the value of cos(x) can be written as,

[tex]\rm Cos(x)\\\\= Cos(17.4576)\\\\= 0.9539\approx 0.954[/tex]

We can also use the trigonometric property, therefore,

[tex]\rm (Sin\ x)^2 +(Cos\ x)^2=1\\\\0.3^2 + (Cos\ x)^2 = 1\\\\Cos(x) = \sqrt{1-0.3^2}\\\\Cos(x)=0.954[/tex]

Hence, the value of Cos(x), if the value of Sin(x) is 0.3 is 0.954.

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

Answer:(0,4)

Step-by-step explanation:

Answer: both equations have the same solution because the second equation can be obtained by adding 4 to both sides of the first equation

eq 1 + 4:

= 3x+2 + 4 = -6 + 4

= 3x + 6 = -2 ⇒ eq 2

Answer:

Step-by-step explanation:

x+2) x^3+0x^2+0x-4(x^2-2x+4

       x^3+2x^2

      -      -

_______________

             -2x^2+0x

             -2x^2-4x

             +       +

            ____________

                         4x-4

                         4x+8

                        -     -

                       ______

                              -12

                           _____

[tex]\frac{x^3-4}{x+2} =x^2-2x+4+\frac{-12}{x+2}[/tex]

Answer: y = x - 4

Step-by-step explanation:

Slope intercept form is y = mx + b

    Given:

-2x = -8 -2x

    Add 2x and 2y to both sides of the equation:

2y = 2x - 8

    Divide both sides of the equation by 2:

y = x - 4

Answer: D

Step-by-step explanation:

I also took the Post Test/Unit Test

Answer:

5a + 8 = a - 8

Step-by-step explanation:

five times a number = 5 X a = 5a

plus 8 = 5a + 8

is equal to eight less than the number = a - 8

5a + 8 = a - 8

The value of k equivalent for the reaction expressed in scientific notation is 1.2 × 10⁻³. Then the correct option is D.

The equation in which chemically react with each other is called chemical reaction and if this reaction is shown mathematically then it is called a chemical equation.

The given chemical equation will be

[tex]\rm H_2 + F_2 \xrightarrow[equil.]{at\ 600} 2HF[/tex]

[HF] = 5.82 x 10⁻² m

[H₂] = 8.4 x 10⁻³ m

[F₂] = 8.4 x 10⁻³ m

The value of k equivalent for the reaction expressed in scientific notation will be

[tex]\rm k_{eq} = \dfrac{8.4*10^{-3}*8.4*10^{-3}}{5.82*10^{-2}}\\\\k_{eq} = 1.2 *10 ^{-3}[/tex]

More about the chemical equation link is given below.

https://brainly.com/question/20492533

Answer:

D

Step-by-step explanation:

Edge 2022

Multiply 75 by the number of surfboards sold to get 75x add that to what he makes giving lessons:

250 + 75x

He wants to earn at least 500 so the equation has to be greater than or equal to 500:

Answer: 250 + 75x > equal to 500

Answer:

A

Step-by-step explanation:

Pretty sure its correct

Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rachel earned $6.00 a day for eight weeks for her summer job. She worked six days a week. How many dollars did she earn?

Rachel earned 288 dollars.

#brainlyeveryday

Answer:

x = 15units

Solving steps:

QS = 16 + 9

QS = 25

Cos(QSR) = RS/QS

Cos(QSR) = x/25

Cos(RST) = ST/RS

[tex] \frac{x}{25} = \frac{9}{x} [/tex]

=> [tex]x {}^{2} = 225[/tex]

=> [tex]x = \sqrt{225} [/tex]

=> x = 15

Answer:

16

Step-by-step explanation:

Given the following question:

[tex](5+3)\times(4-2)[/tex]

Solve using PEMDAS:

[tex](5+3)\times(4-2)[/tex]
[tex]5+3=8[/tex]
[tex]8\times(4-2)[/tex]
[tex]4-2=2[/tex]
[tex]8\times2=16[/tex]
[tex]=16[/tex]

Your answer is "16."

Hope this helps.

Answer:

part a: is c

part b: $33.25

Step-by-step explanation:

PART A: I did 6x68.45=410.70

8x39.71=317.68

3x52.25=156.75

410.7+317.68+156.75=885.13

so the closest thing to it is c

PART B: i did

5x2.89=14.45

10x9.91=79.10

48x0.36=17.28

14.45+79.10+17.28=110.83

144.08-110.83=33.25

so the case of air fresheners was $33.25

Answer:

For part A the answer is B (the second one)

For part B I would say there is a 50 percent chance for the chip to land on red so the students should have the last chip land on red on the 9th trial because there would be a more than fifty percent chance for the chip to land on red.

first trial 128/2 = 64,

second trial 64/2 = 32,

third trial 32/2 = 16,

fourth trial 16/2 = 8,

fifth trial 8/2 = 4,

sixth trial 4/2 = 2,

seventh trial 2/2 = 1,

eighth trial 1 chip 50/50 chance,

9th trial 1 chip 75/25 chance for the chip to land on red.

Let's check

See the word off side so it is deducted ,

General formula is ar^n-1

So correct answer is

Answer:

  (d)  428,820,000 pounds of garbage

Step-by-step explanation:

Your calculator or spreadsheet can give you the product of two numbers expressed in scientific notation.

  (1.643×10^3 lb/resident) × (2.61×10^5 residents) = 4.28823×10^(3+5) lb

  ≈ 428.82×10^6 lb

  = 428,820,000 lb . . . of garbage

Answer:

4 1/8

Step-by-step explanation:

Answer:

The degree of overlap between the two distributions is moderate.Step-by-step explanation:A grocery store received two shipments of watermelon. Each watermelon in a shipment was weighed, then a line plot was made of all of the weights in a shipment. What statement about the two plots’ distributions is true?The true statement is - option A - The degree of overlap between the two distributions is moderate.

Step-by-step explanation:

mark me brainliest!!

Answer:

2(54x-36)

Multiply each by two since you can't subtract them

108x-72 is answer most likely, if not, this is answer <<<

x-1.5 which shouldn't be the answer since above is the answer

Step-by-step explanation:

Answer:

[tex]\frac{7}{20}[/tex] or 0.35

Step-by-step explanation:

[tex]\frac{3}{4} * \frac{7}{20} \\3*7=21\\4*15=60\\\frac{21}{60} \\[/tex]

Now simplify.

[tex]\frac{21}{60}[/tex] = [tex]\frac{7}{20}[/tex]

Answer:

A

Step-by-step explanation:

The maximum possible salary for each player is calculated as $27,272.72

Data;

The maximum possible salary for a single player in each team can be calculated when we divide the total maximum allowed salary for the team by the total numbers of players. This would put all the players on an even pay or equal pay.

Let the maximum possible allowed salary be represented by x

[tex]x = \frac{60000}{22} \\x= 27,272.72[/tex]

The maximum possible salary for each player is calculated as $27,272.72

Learn more on ratios or proportions here;

https://brainly.com/question/1781657

Answer:

Horizontal Asymptote at 0

Vertical Asymptote at -1

Step-by-step explanation:

Look at the attached image

(THE BLUE LINES ARE THE ASYMPTOTES)

The red line is the actual graphed function.

Answer: I Think It Is Greater Than Or Equal To -9

Step-by-step explanation: The given function is:

f(x)x^2+2x-8

We complete the square to write this function in the form:

f(x)=a(x-h)^2+k

We add and subtract the square of half the coefficient of x.

f(x)=x^2+2x+1^2-1^2-8

f(x)=(x=1)^2-9

The vertex of this function is (h,k) which is (-1,-9)

The equation of axis of symmetry is x=h

But h=-1, hence the axis of symmetry isx=-1

To find the x-intercepts, we put f(x)=0

(x+1)^2-9=0

(x+1)^2=9

x+1=the square root of 9

x=-4, 2

The x-intercepts are:(

-4,0) and (2,0)

The given function is a polynomial function, the domain is all real numbers

The function has a minimum value of y=-9.

Therefore the range is y|y is greater that or less than -9