As Program Director of a Radio Station, you receive a report from an independent service that shows that out of 100 songs played, the same song was played 7 times. Using the Empirical Approach, calculate the probability that song will be played next.

Answer:

91°

Step-by-step explanation:

We first add 75 and 14 which is equal to 89°. Now, we know that a full triangle angle is 180° . We then calculate 180°-89° which gives us the final answer 91°.

Ps: 91 rounded to the nearest tenth is equal to: 91.0

Using simple interest, it is found that the monthly payments are of $739.00.

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

In this problem:

Then, the total amount will be of:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]A(t) = 85000[1 + 30(0.071)][/tex]

[tex]A(t) = 266050[/tex]

In 30 x 12 = 360 monthly payments, hence:

266050/360 = 739.

The monthly payments are of $739.00.

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Answer:

0.003

Step-by-step explanation:

Recall for a p-value, it must be a value that is as extreme and more extreme than the test statistics. If we go to the chart for the z-score and go to the row of -2.7 and to the column 0.04, we can see the value is 0.0031 or 0.003. Since the test is a one-tailed test (note that  is less than, "<"), this is the p-value.

Answer:

False

Step-by-step explanation:

8^3=512

12x6=3072

3072=230

The numbers dont match.

Hence, the equation is false.

Answer:

Not true

Step-by-step explanation:

= 8³ x 6

= 8 x 8 x 8 x 6

= 64 x 48

= 3072

3072 ≠ 230

=> Not true

Answer:

30.9717685346

Step-by-step explanation:

Answer:

option B

Step-by-step explanation:

option B is correct

Answer: y ≥ -1/3x + 2

Step-by-step explanation:

y - intercept = 2

To find the slope, subtract the given points:

2 - 4

_____ = -2/6

0 - (-6)

Simplify:

-2/6 = -1/3

The line is solid, which means solutions are included on the boundary line.

y ≥ -1/3x + 2

Step-by-step explanation:

Hello, first you have to substitute x=-3 in 12-3x which is 12-3(-3)= 12+9=21. So number 1 is 21. You continue like that till you finish.

2. You substitute x=-3 in y=x^2 +3x - 2. So that would be y= - 3^2+3(-3)-2. Which is 9+(-9)-2 which will be 9-9-2=-2. So the first blank space for number 2 is - 2.

Answer:

12, 20, 28

Step-by-step explanation:

The equation s=r+4 shows that no matter the value of r, s will always be 4 more. This means that whatever number is in the r-value of the table, you need to add 4 to it to get your s-value. So when r=8, s=12 and so on.

Answer:

(x,y)=(-2,3)

Step-by-step explanation:

Quotient :  2x⁴ - 4x³ - 7x² + 5x + 1 

Remainder :  10 

Michelle's investment balance after 8 years is $10,790.48.

Kristen's investment balance after 8 years is $3,770.55.

Gabriella's investment balance after 8 years is $24,780.42.

Judy's investment balance after 8 years is $3618.62.

The person with the highest amount of money at the end of the 8 years is Gabriella. If I were to choose one of the investment options, I would choose Gabriella's option.

The formula that can be used to determine the future value of the investment with compounding is:

FV = P (1 + r)^nm

Where:

Future value with continuous compounding =  : A x e^r x N

Where:

Future value with monthly compounding = $2000 x ( 1 + 0.035/12)^(12 x 8) = $2645.18

Future value with continuous compounding: 1000 x e^0.018 x 8 = $8,145.30

Total = $8,145.30 + $2645.18 = $10,790.48

Future value with quarterly compounding = 2500 x (1 + 0.012 / 4)^(4 x 8) = $2,751.50

Future value with quarterly compounding = 500 (1 .0225)^(8x4) = $1019.05

Total = $3,770.55

$3000 x e^0.032 x 8 = $24,780.42

Future value with exponential increase = 1050 x (1.015)^8 = $1,182.82

Future value with biannual compounding = 1950 x (1 + 0.028/2)^(8 x 2) = $2435.80

Total = $3618.62

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Answer:

he can rent the camera for 5 days and will have $5 left over

Step-by-step explanation: he only has $50 , and he has to pay 15 to register which will leave him with 35 left over and then he pays $6 each day and it would be 5 days of renting.

50-15+35

6x5=30 which means he pays $6 everyday for 5 days

which will leave $5 left over

Answer:

5.75x2=11.5

Step-by-step explanation:

Jane spend $11.15 for lunch during 10 school days.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Jane spends $5.75 for lunch during 5 school days.

Hence, We get;

The amount spend money for lunch during 10 school days is,

⇒ $5.75 × 10 / 5

⇒ $5.75 × 2

⇒ $11.15

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Answer:

i think it’s 260 too^^

Step-by-step explanation:

The total Amount Spent by the volleyball team spend on shirts from the given piecewise function is; $260

From the given piecewise function, we see that;

y = {13n, 0 < n ≤ 20

y = {11n, 20 < n ≤ 50

y = {9n, n > 50

We are told that the volleyball team purchased 20 shirts.

From the first piecewise function, we can deduce that;

Amount Spent = 13n = 13 * 20

Amount Spent = $260

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Question 4

Explanation:

If the initial point is the origin, the coordinates of the terminal point form the vector itself in component form. We go from (-8,6) to <-8,6>. The notation change is from ordered pair to vector format.

We have a right triangle with legs of 8 and 6 units. The pythagorean theorem will help us determine the hypotenuse is 10. Therefore, the vector length is 10 units and we would say ||v|| = 10. We have a 6-8-10 right triangle.

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Question 5

Explanation:

Vector v starts at (2,5) and ends at (-3,-2).

The x component of the vector is x2-x1 = -3-2 = -5 meaning we move 5 units to the left when going from the start point to the endpoint.

At the same time we move 7 units down because y2-y1 = -2-5 = -7 which is the y component of the vector.

The component form of vector v is

v = <-5, -7>

it says "move 5 units left, 7 units down".

Apply the pythagorean theorem to find the length of the vector.

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

||v|| = sqrt( (-5)^2 + (-7)^2 )

||v|| = 8.602 which is approximate.

Now let's use the arctangent function to find the angle

theta = arctan(b/a)

theta = arctan(-7/(-5))

theta = 54.462 which is also approximate.

There's a problem however. This angle is in Q1 but the vector <-5,-7> is in Q3. An easy fix is to add on 180 to rotate to the proper quadrant.

54.462+180 = 234.462

which is the proper approximate angle for theta.

Answer:

12 56 m²

Step-by-step explanation:

Radius r = 4/2 = 2 m

Area = π(2)² = 3.14 * 4 = 12 56 m²

Answer:

I think it is A≈225.77

Step-by-step explanation:

Answer:

the answer is 3

Step-by-step explanation:

function notation is the way a function is written.

Step-by-step explanation:

It's just asking you to find the slope

Plug in x=2 into given function. Then you will get f(2). Do the same to find f(5).

Then you can use slope formula to find the answer

Answer:

3+p=12

Step-by-step explanation:

Answer:

3 + p = 12

Step-by-step explanation:

3 + p = 12. Its really easy. Hope this helps :)

Answer:

This is the answer.

Step-by-step explanation:

but I think you dont write the question fully.

answer: it's literally -3

Answer:

[tex]\{-9,-1,5,7\}[/tex]

Step-by-step explanation:

The range would be the corresponding y-values for the given set:

[tex]h(-5)=2(-5)+1=-10+1=-9\\\\h(-1)=2(-1)+1=-2+1=-1\\\\h(2)=2(2)+1=4+1=5\\\\h(3)=2(3)+1=6+1=7[/tex]

Thus, the range of [tex]h[/tex] using set notation is [tex]\{-9,-1,5,7\}[/tex]. Also, see attached graph.

First,

Step-by-step explanation:

MN and JK are parallel lines. So those two angles are going to be corresponding angles which means their measurements are the same

4x+56 = 7x +53

3=3x

x=1

LKJ = 4(1)+56= 60

Answer:

See answers below

Step-by-step explanation:

Problem 1

Recall that [tex]tan(A+B)=\frac{tanA+tanB}{1-tanAtanB}[/tex] and that [tex]tan(\frac{\pi}{4})=1[/tex]. Using these two facts, we can rewrite the expression:

[tex]\frac{1+tanx}{-1+tanx}\\\\-\frac{1+tanx}{1-tanx}\\ \\-\frac{tan(\frac{\pi}{4})+tanx}{1-tan(\frac{\pi}{4})tan(x)}\\ \\-tan(x+\frac{\pi}{4})\\ \\tan(\frac{3\pi}{4}-x)[/tex]

Hence, the first choice is correct

Problem 2

[tex]cos(\frac{x}{2})=\sqrt{3}-cos(\frac{x}{2})\:;\: 0\leq x < 360^\circ\\\\2cos(\frac{x}{2})=\sqrt{3}\\ \\cos(\frac{x}{2})=\frac{\sqrt{3}}{2}\\\\\frac{x}{2}=\frac{\pi}{6}+2\pi n,\frac{11\pi}{6}+2\pi n\\ \\ x=\frac{\pi}{3}+4\pi n,\frac{11\pi}{3}+4\pi n\\ \\ x=60^\circ+720n^\circ, 660^\circ+720n^\circ\\\\x=60^\circ[/tex]

It's helpful to use the unit circle to solve these kinds of problems. Therefore, the third answer is correct.

Problem 3

Because [tex]sin\theta=-\frac{5}{13}[/tex] and our parameters are [tex]\pi < \theta < \frac{3\pi}{2}[/tex], the triangle must be in Quadrant III where [tex]sin\theta < 0[/tex] and [tex]cos\theta < 0[/tex].

You may recall the double angle formula [tex]sin2\theta=2sin\theta cos\theta[/tex]. We can find [tex]cos\theta[/tex] using [tex]sin\theta[/tex] with the Pythagorean Identity [tex]sin^2\theta+cos^2\theta=1[/tex] keeping our parameters in mind:

[tex]sin^2\theta+cos^2\theta=1\\\\(-\frac{5}{13})^2+cos^2\theta=1\\ \\\frac{25}{169}+cos^2\theta=1\\ \\cos^2\theta=\frac{144}{169}\\ \\cos\theta=-\frac{12}{13}[/tex]

Thus, [tex]sin2\theta=2sin\theta cos\theta=2(-\frac{5}{13})(-\frac{12}{13})=2(\frac{60}{169})=\frac{120}{169}[/tex], which means the third option is correct.

Answer:

Step-by-step explanation:

Length = x

3 times of length = 3*x = 3x

5 metre more than 3x = 3x + 5

Breadth  = 3x + 5