There are 300 students in the 6th grade. The ratio of students who play an instrument to all students is 2:5. Hou
many people in 6th grade play an instrument?

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.

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:

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:

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:

Step-by-step explanation:

Length = x

3 times of length = 3*x = 3x

5 metre more than 3x = 3x + 5

Breadth  = 3x + 5

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

Read more about Piecewise function at; https://brainly.com/question/4494373

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.

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.

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:

[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.

Answer:

I think it is A≈225.77

Step-by-step explanation:

First,

Answer:

12 56 m²

Step-by-step explanation:

Radius r = 4/2 = 2 m

Area = π(2)² = 3.14 * 4 = 12 56 m²

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

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.

More can be learned about simple interest at https://brainly.com/question/25296782

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:

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:

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

Learn more about the multiplication visit:

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#SPJ2

Answer:

This is the answer.

Step-by-step explanation:

but I think you dont write the question fully.

answer: it's literally -3

Answer:

the answer is 3

Step-by-step explanation:

function notation is the way a function is written.

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

Answer:

30.9717685346

Step-by-step explanation:

Quotient :  2x⁴ - 4x³ - 7x² + 5x + 1 

Remainder :  10 

Answer:

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

Step-by-step explanation:

Answer:

option B

Step-by-step explanation:

option B is correct

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

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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