Seventh Grade Students
Instrument # of Students
Guitar 12
Bass 10
Drums 9
Keyboard 12
Eighth Grade Students
Instrument # of Students
Guitar 5
Bass 6
Drums 15
Keyboard 5

Based on these results, express the probability that a seventh grader chosen at random will play the drums as a fraction in simplest form.

Answers

Answer 1

Answer:

3/11

Step-by-step explanation:

FORMULA= P(A)=

NUMBER OF FAVORABLE OUTCOMES

-------------------------------------------------------------

NUMBER OF POSSIBLE OUTCOMES

GIVEN: 12 Guitars, 10 Bass, 9 Drums, 12 Keyboards

WANT: The probality a seventh grader chosen at randome will play drums

add all the instruments

12+10+9+12=33

there are 9 drums

FOLLOW THE FORMULA

9 3

---- = ---- SIMPLIFIES FORM

33 11


Related Questions

f(4) =
If g(x) = 2, x =
<

Answers

F(4)= -10
If g(x)= 2, x= 0

Surface area is the sum of the areas of all the surfaces of a three-dimensional object.
(True or false)

Answers

Answer: True

Think of a 3D box. It has 6 faces and the surface area is the total of all six individual rectangular faces. This idea applies to any polyhedron.

f(x)=15x³+22x²-15x+2
Write f(x) as a product of linear factors.

Answers

Answer:

[tex](5x - 1)(3x - 1)(x + 2)[/tex]

Step-by-step explanation:

[tex](15 {x}^{3} + 22 {x}^{2} - 15x + 2)[/tex]

Apply Rational Root Theorem, our possible roots will be

plus or minus( 2/15, 2/5,2/3,2, 1/15,1/5,1/3,1).

I

I tried root -2 and it work so

If we apply synthetic dividon, we would be left with

[tex]15 {x}^{2} - 8x + 1[/tex]

We can factor this regularly.

Apply AC method that a number

AC will multiply to 15 but add to -8.

The answer are -5 and -3 so we write this as

[tex]15 {x}^{2} - 5x - 3x + 1[/tex]

Factor by grouping

[tex](15x {}^{2} - 5x) - (3x + 1)[/tex]

[tex]5x(3x - 1) - 1(3x - 1)[/tex]

So our factor are

[tex](5x - 1)(3x - 1)(x + 2)[/tex]

Is Mercury is a gas giant, and because it is hot, it is named after the mercury in a thermometer.

Please give real answers with explaination. I will follow + I will give brainliest. No Docs/No Files/No Links only answer with explaination.

Answers

Mercury is the smallest and fastest planet in the solar system. It is also the closest planet to the sun. It is named after the Roman messenger god Mercury, the fastest Roman god.

What’s the equation of the blue line?

Answers

Answer:

Step-by-step explanation:

The equation of blue line A is x = 1.

That of blue line B is y = 4.

What is the completely factored form of this polynomial?
x^4- 8x^2 + 16
A. (X+2)^2(x-2)^2
B. (x^2-4)^2
C. (x^2+4)(x+2)(x-2)
D. (x+2)(x-2)

Answers

Answer:

A. (x + 2)²(x - 2)²

Step-by-step explanation:

x⁴ - 8x² + 16 =

(x² - 4)(x² - 4) =

(x - 2)(x + 2)(x - 2)(x + 2) =

(x - 2)²(x + 2)²

In the triangles, GK PN and HG 2MP.
Which statement correctly compares the angles?
H
M
Angle G is congruent to angle P.
O Angle G is smaller than angle P.
O Angle G is larger than angle P.
O Angle G is congruent to angle N.
32 cm
40 cm
G
K
P
N

Answers

Answer:

G is smaller than P. Visually comparing G to P you are doing a rough comparison to a 90° (or right) angle. Angle G is a little bit tilted to the right making it just under 90°

The statement which correctly compares the angles is Angle G is smaller than angle P.

What is Congruence of Triangles?

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

Given are two triangles.

Given that,

GK is congruent to PN.

HG is congruent to MP.

Also, given that,

HK = 32 cm and MN = 40 cm

Angle G is opposite to the side HK.

Angle P is opposite to the side MN.

Angles opposite to the greater side will be greater.

So angle P is greater than angle G

Or, angle G is smaller than angle P.

Hence, Angle G is smaller than angle P.

Learn more about Angles here :

https://brainly.com/question/11846909

#SPJ7

Please helppppppppp meeeeeee

Answers

Answer:

m∠B = 94º

Step-by-step explanation:

Supplementary angles total 180

(8x + 6) + ( 7x + 24) = 180

Combine like terms

15x + 30 = 180

15x = 150

x = 10

m∠B = 7x + 24

m∠B = 7(10) + 24

m∠B = 94º

Which of the following is NOT true about mathematical induction?

A.The first possible case is always n = 1.

B.Mathematical induction depends on a recursive process.

C.It can be used to prove that 1 + 2 + 3+...+n =
n(n+2)
2

D. Since Sn is valid for n = 1, it is valid for n = 2. Since it is valid for n = 2, it is valid for n = 3, and so on, indefinitely.​

Answers

Answer:

A. the first possible case is always n = 1

Step-by-step explanation:

Mathematical induction is a technique used to provide proof for a statement such that the statement holds for all natural numbers which are the non-negative integers

Therefore, given that the natural numbers are 0, 1, 2..., we have that mathematical induction can start from n = 0

Therefore, the statement which is not true is that the first possible case is always n = 1

Lanu draws a rectangle that is 10 inches wide and 20 inches long. Which rectangle described down below has the same area

Answers

Answer:

b. 8 inches wide and 25 inches long

Step-by-step explanation:

Here are the options

5 inches wide and 25 inches long

b. 8 inches wide and 25 inches long

c. 15 inches wide and 15 inches long

d 15 inches wide and 25 inches long

Area of a rectangle = length x width

10 x 20 = 200

first option

5 x 25 = 125 does not have the same area as the one lanu drew

second option

8 x 25 = 200 has  the same area as the one lanu drew

third option

15 x 15 = 225 does not have the same area as the one lanu drew

fourth option

15 x 25 = 375 does not have the same area as the one lanu drew

All swimming equipment is on sale with a 30% discount. A snorkeling set regularly sells
for $50. Find the discount.

Answers

Answer:

15

Step-by-step explanation:

50 * .30=15

f(2) if f(x) = (x + 1)2.

Answers

Answer:

6

Step-by-step explanation:

f(2) = (2 + 1)2

(3)2

6

Answer:

6

Step-by-step explanation:

f(2) = (2+1)*2, f(2) = 3*2 = 6

Joe and Becky are buying fish for their new aquarium. The expression 3g + 4a represents the cost in dollars of buying fish
where 'g' is the number of guppies purchased and 'a' is the number of angel fish purchased. Find the cost of fish if they buy 12 guppies and 4 angel fish. Explain your work.

Answers

Answer:

$52

Step-by-step explanation:

Find the cost by plugging in 12 as g and 4 as a into the expression:

3g + 4a

3(12) + 4(4)

36 + 16

= 52

So, the cost will be $52

Solve the equation below :

7/8 = q + 1/2

A : q = 3/8


B : q = 1 3/8


C : q = 7/16


D q = 1 3/4

Answers

Answer:

q = -3/8

Step-by-step explanation:

Clearing out the fractions first simplifies this problem.  The LCD here is 8, so we multiply all three terms of 7/8 = q + 1/2 by 8 and simplify the result:

7 + 8q = 4.  

Combining the constants, we get:  8q = 4 - 7, or 8q = -3.

Finally, solve for q:

q = -3/8

Find the value of x in the triangle shown below

Answers

Answer:

x = 48°

Step-by-step explanation:

Two sides of the triangle are equal, both 7, Then the 2 base angles are congruent, both 66°

The sum of the 3 angles in the triangle sum to 180° , so

x = 180° - (66 + 66) = 180° - 132° = 48°

Answer:

[tex]{ \tt{x + 66 + 66 = 180}} \\ x = 48 \degree \\ \\ { \boxed{ \bf{or : }}} \\ { \bf{ from \:lamis \: theorem : }} \\ { \tt{ \frac{5.7}{ \sin(x) } = \frac{7}{ \sin(66 \degree) } }} \\ \\ { \tt{x = { \sin }^{ - 1}( \frac{5.7 \times \sin(66 \degree) }{7} ) }} \\ x = 48 \degree[/tex]

Please help meeeee ASAP

Answers

measure of angle K is 146 degrees.

Which tiles should be added to the model below to make zero?
- - - - - -
O 6 negative tiles
O 6 positive tiles
O 3 negative tiles and 3 positive tiles
O 6 negative tiles and 6 positive tiles

Answers

Answer:

3 positive tiles hope.helps

6 negative tiles i want to believe

In the given figure alongside,prove that
Triangle ABC is simalar to Triangle SRT
Find the length of AC​

Answers

Answer:

let's use Pythagoras theorem,

h²=b²+l²

so,

ad²=ac²+dc²

6²=ac²+3²

36-9=ac²=27

√27 can be written as 3√3,

hence ac= 3√3

Please solve with explanation

Answers

Step-by-step explanation:

total wood= 45½=22.5 units

cut wood= 8⅞= 7 units

wasted wood= 1/16=0.06

now wood left is,

total wood -cut wood-wasted wood

22.5-7-0.06

15.44 units

Juan works at a retail store. He earns $6 an hour plus 1 $5 bonus each time he gets someone to sign up for the stores credit card.
Write a formula that will help Juan determine how much he will earn in one week.
a= total amount earned
h= hours worked in one week
b= number of cards sold in one week

Answers

Answer:

6h + 5b = a

Step-by-step explanation:

Solve 36 = byx for y.
y=-

Answers

Step-by-step explanation:

Simplifying

36 = byx

Solving

36 = bxy

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-1bxy' to each side of the equation.

36 + -1bxy = bxy + -1bxy

Combine like terms: bxy + -1bxy = 0

36 + -1bxy = 0

Add '-36' to each side of the equation.

36 + -36 + -1bxy = 0 + -36

Combine like terms: 36 + -36 = 0

0 + -1bxy = 0 + -36

-1bxy = 0 + -36

Combine like terms: 0 + -36 = -36

-1bxy = -36

Divide each side by '-1xy'.

b = 36x-1y-1

Simplifying

b = 36x-1y-1

Answer:

y = [tex]\frac{36}{bx}[/tex]

Step-by-step explanation:

Given

36 = byx ( isolate y by dividing both sides by bx )

[tex]\frac{36}{bx}[/tex] = y

What is the area of the circle in terms of pi?

Answers

Answer:

[tex]4.2025\pi\:\mathrm{m^2}[/tex]

Step-by-step explanation:

The area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]. In the figure, we're given a diameter of 4.1. All diameters of a circle are exactly 2 times the length of all radii of the circle. Therefore, the radius of the circle is [tex]4.1\cdot \frac{1}{2}=2.05[/tex].

Thus, the area of the circle is [tex]2.05^2\pi=\boxed{4.2025\pi\:\mathrm{m^2}}[/tex]

4.2025 is the correct answer to your question !!

P is in the shape of a circle. Q is in the shape of a quarter circle of radius 20 cm. P Q 20 cm The area of Q is 4 times the area of P. Work out the radius of P. You must show all your working.

Answers

(1) Find area of Q:
a = pi (r^2)
= pi (20^2)
= pi (20cm)(20cm)
= 400cm^2

(2) Find area of P:
400/4 = 100cm^2

(3) Find radius of P:
100cm^2/pi = pir^2/pi
sq. root of 100 = sq. root of r^2
r = 10 cm


Answers;
radius (Q) = 20cm
area (Q) = 400cm^2

radius (P) = 10cm
area (P) = 100cm^2

Solve for w. Show your work! 5w + 16 - 9 - 8w = 19


I'll give brainly

Answers

5w+16-9-8w=19
-3w+7= -7
-3w=12
W=-4

Hi can anyone pls help me with this problem I would really appreciate it !

Answers

Answer:

A

Step-by-step explanation:

The scale factor k is the ratio of corresponding sides, image to original.

k = [tex]\frac{CP'}{CP}[/tex] = [tex]\frac{15}{75}[/tex] = 0.2

Since k < 1 this represents a reduction.

?...............................

Answers

Answer:

-2 ≤ n < 8

Step-by-step explanation:

_________________

SOMEBODY PLEASE HELP I DON’T HAVE MUCH TIME

Find the volume of this sphere.
Use 3 for TT.
V
V [?]cm
V = 713
12cm

Answers

Answer:

904.78

Step-by-step explanation:

I hope this is correct, if it isn't please feel free to let me know and I can fix it. I'm sorry in advance if it is incorrect.

What is an equation of the line that is perpendicular to 3z +y=-5 and passes through the point (3, – 7)?
Enter your equation in the box

Answers

The answer is
y=1/3 x - 8

Select the outlier in the data set.
93
82
10
61
99
89
84
95
75
98
If the outlier were removed from the data set, would the mean increase or decrease?


Answers

Answer:

10

The mean would increase after the outlier is removed

Step-by-step explanation:

An outlier in a dataset is a number that differs significantly from the other data in the set.

In this question, 10 is the number that differs significantly from the other data in the set. Thus, it is the outlier.

Mean = sum of the numbers / total number

Mean including the outlier =  

(93+ 82  + 10  + 61  + 99  + 89  + 84  + 95  + 75  + 98) / 10 = 78.6

Mean without the outlier =

(93+ 82   + 61  + 99  + 89  + 84  + 95  + 75  + 98) / 9 = 86.2

the mean increased after the outlier was removed

El perímetro de un rectángulo es 58 y su base excede en 10 a su ancho, ¿Cuánto mide la base? AYUDAAAA

Answers

Answer:

The base is 19.5.

Step-by-step explanation:

The given question is, "The perimeter of a rectangle is 58 and its base exceeds its width by 10, how long is the base?"

Perimeter = 58

Base, l = 10+b

The perimeter of a rectangle is :

P = 2(l+b)

58 = 2(10+b+b)

29 = (10+2b)

29-10 = 2b

19 = 2b

b = 9.5

Base, l = 10 + 9.5

= 19.5

Hence, the base is 19.5.

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