In a theater group of 36 people. 20 can sing and 12 can play instruments. If 5 can play n sing. How many can niether play nor sing

Answers

Answer 1

Answer:

9

Step-by-step explanation:

Draw a Venn diagram.

+------------------------------------------------------------+

|    N                                                                 |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                  |

|      /                     /  B \                 \                |

|      \                     \      /                 /                 |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

The Venn diagram is set up as above. The two circles insiode the rectangle look like two hexagons and they overlap.

The overlap is labele B, for people who both play and sing. The left circle is P for people who play, and the right circle is S for people who sing.

Now we begin to fill it in.

5 people both play and sing, so we place a 5 in the overlap section.

+------------------------------------------------------------+

|    N                                                                 |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                  |

|      /                     /  B \                 \                |

|      \                     \  5  /                 /                 |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

20 people sing. Subtract the 5 who both sing and play, and you have 15 who can only sing.

12 people play. Subtract the 5 who both sing and play, and you have 7 who only sing.

Place the numbers 15 and 7 in the correct places.

+------------------------------------------------------------+

|    N                                                                 |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                  |

|      /                     /  B \                 \                |

|      \       7           \  5  /       15     /                |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

Now add all the people already placed.

15 + 5 + 7 = 27

Subtract that number form the total.

36 - 27 = 9

Place the 9 in the correct area.

+------------------------------------------------------------+

|    N                     9                                          |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                   |

|      /                     /  B \                 \                |

|      \       7           \  5  /       15     /                |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

Answer: 9

A more normal looking Venn diagram looks like this:

In A Theater Group Of 36 People. 20 Can Sing And 12 Can Play Instruments. If 5 Can Play N Sing. How Many

Related Questions

An aeroplane flies 1860 miles in 4 hours. What is its average speed?​

Answers

Answer:

The average speed is 465 mph

Step-by-step explanation:

1860/4 = 465

Answer:

The average speed is 465 mph

Step-by-step explanation:

Average speed = distance/time

1860 miles / 4 hours = 465 mph

Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.

Step 1: (3x3 – 15x2) + (–4x + 20)

Step 2: 3x2(x – 5) + 4(–x + 5)

Omar noticed that he does not have a common factor. Which accurately describes what Omar should do next?

Omar should realize that his work shows that the polynomial is prime.
Omar should go back and regroup the terms in Step 1 as (3x3 – 15x2) – (4x + 20).
In Step 2, Omar should factor only out of the first expression.
Omar should factor out a negative from one of the groups so the binomials will be the same.

Answers

Answer:

2nd option

Step-by-step explanation:

Given

3x³ - 15x² - 4x + 20

step 1 ( group the first/second and third/fourth terms )

(3x³ - 15x² ) + (- 4x + 20)

step  2 ( factor each group )

3x² (x - 5) - 4(x - 5) ← note factor of - 4 ( not + 4 )

step 3 ( factor out (x - 5) from each term )

(x - 5)(3x² - 4)

Answer:

ITS D !!!!

Step-by-step explanation:

got it right on test

Explain why a + 2b = 110 in the triangle shown​

Answers

Answer:

Step-by-step explanation:

According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. For us, in our triangle:

a + 2b + 70 = 180 so

a + 2b = 180 -70 and

a + 2b = 110. That's why.

A bus completed a journey of 98 km in 140 minutes. Calculate the average speed, in kilometres per hour, for this journey.​

Answers

Answer:

hope you like it

Step-by-step explanation:

at first change minutes to hour and calculate by dividing 98 to specific hour

Speed=distance/time

-change time from minutes to hours:
140= 2hours 20= 2.333

Speed=98/2.333
= 42 km/h

I think?

Identify the coefficient(s) of the variable in the expression below.
25 - 6z

A
z

B
1

C
6

D
25 and 6

Answers

Answer:

D

Step-by-step explanation:

25 and 6

Coefficient is the number in front of the unknown variable

Identify the coefficient(s) of the variable in the expression below.

25 - 6z

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C. \:6}}}}}}[/tex]

Explanation:

Coefficients are numbers that are attached to variables. In the expression "25 - 6z", 6 is the coefficient since it is attached to the variable z.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

plzx solve it with steps....



how many terms of the A P -6,11/2,-5......are needed to give the sum -25??




plzx give me all the steps....!!​

Answers

I think the second number is supposed to be negative, -11/2 = -5.5, because otherwise the sequence is not arithmetic.

The n-th term of the sequence, starting with n = 1, is then

-6 + 0.5 (n - 1) = 0.5n - 6.5

and we want to find the number N such that

[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5)=-25[/tex]

We have

[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5) = 0.5\sum_{n=1}^Nn-6.5\sum_{n=1}^N1\\ = 0.5\times\frac{N(N+1)}2 - 6.5N \\= 0.25N^2-6.25N = -25[/tex]

Solve for N :

0.25 N ² - 6.25N + 25 = 0

N ² - 25N + 100 = 0

(N - 20) (N - 5) = 0

N = 20   or   N = 5

Consider the following system of two equations.



{3x−4y=−24
3x+2y=−6


What are the coordinates(x,y) of the solution to the system of equations?



Enter the coordinates in the space provided.
Help if i dont pass this im finna fail.!!!!!

Answers

Step-by-step explanation:

The given equations are:

(i)

3x+2y−4=0...(1)

2x−3y−7=0...(2)

put x=0 in (1),

3(0)+2y−4=0

y=2

put y=0 in (2),

2x−3(0)−7=0

x=

2

7

put x=0 in (2),

2(0)−3y−7=0

y=−

3

7

put y=0 in (1),

3x+2(0)−4=0

x=

3

4

(x=0,y=−

3

7

)

(x=

3

4

,y=0)

(x=0,y=2)

(x=

2

7

,y=0)

(ii)

3x+2y−11=0...(1)

2x−3y+10=0...(2)

put x=0 in (1),

3(0)+2y−11=0

y=

2

11

put y=0 in (2),

2x−3(0)+10=0

x=−5

put x=0 in (2),

2(0)−3y+10=0

y=

3

10

put y=0 in (1),

3x+2(0)−11=0

x=

3

11

(x=

3

11

,y=0)

(x=0,y=

3

10

)

(x=0,y=

2

11

)

(x=−5,y=0)

is f(x)=–3?

–7
–4
4
5

Answers

Answer:

4 is the answer...........

_4 is the best answer of this question

can somebody help me with this question !​

Answers

Answer:

No please! Mr excuse me I am not your type bye

30 points What's the area below

Answers

Answer:

213

Step-by-step explanation:

(12×11)+(5×6)+(7×6)+(3×3)=132+30+42+9

=213

Answer:

Step-by-step explanation:

Ggg

Solve for x in these two similar triangles

Answers

x=12, divide 7.5/5 times x/8. cross multiply yo get 7.5 x 8 and 5x, 60=5x, x=12

find the area of a circle . diameter =30cm . suction

Answers

Area of Circle = pi * r* r

Diameter = 2* r

Radius = 30/2 = 15 cm

pi = 3.14

Area of circle = 3.14 * 15 *15 = 707.14 cm ^2

You roll two 6-sided dice.
What is the probability that you would roll an even number on the first dice and a number greater than 4 on the second?

Answers

probability that you will role an even number on the first roll: 3 even / 6 total = 3/6 chance = 1/2 chance

probability that you role a number greater than 4 on the second: only numbers greater than 4 are 5 and 6, so you have 2 numbers / 6 total = 2/6 chance = 1/3 chance

because it says AND, you have to multiply the first role probability by the second role probability

so 1/2 x 1/3 = 1/6

answer: 1/6

A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were rejected at the final inspection and could not be sold. A new process is introduced that is intended to reduce the proportion of rejected screens. After the process has been in place for several months a random sample of 100 screens is selected and inspected. Of the 100 screens 6 are rejected. What are the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected?
A. H0:p=0.12Ha:p<0.12 A
B. H0:p=0.12Ha:p>0.12 B
C. H0:p=0.06Ha:p<0.06 C
D. H0:pˆ=0.06Ha:pˆ>0.06 D
E. H0:pˆ=0.12Ha:pˆ<0.12 E

Answers

Answer: A.

[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]

Step-by-step explanation:

Null hypothesis[tex](H_0)[/tex] : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.  

Alternative hypothesis [tex](H_a)[/tex]: A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.

Let p be the proportion of screens that will be rejected.

12 percent of the screens manufactured using a previous process were rejected at the final inspection.

(i.e. p= 0.12)

Objective of the study = whether the new process reduces the population proportion of screens that will be rejected

i.e. p< 0.12

So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:

[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]

pls tell the answer by step by step

Answers

The point lies in 2nd quadrant.

Answer:

second quadrant

Step-by-step explanation:

here , -2 is x component and y component is 5

since x component is negative and y component is positive it lies on the second quadrant.

Note: if both x and y component are positive then the point lies on first quadrant.

id x component is negative and y component is positive then the point lies on second quadrant.

if x both x and y component are negative then the point lies on third quadrant.

if x component is positive and y component then the point lies on fourth quadrant.

9: A rectangular room is 14m long and 8m wide. Jessica is going to carpet the room with carpet that costs £17.50 per square metre. Work out the cost of carpeting the room. ​

Answers

Answer:

£1,960

Step-by-step explanation:

Find the area of the room using the formula, A = lw

Plug in the length and width, and solve:

A = lw

A = 14(8)

A = 112

So, the area of the room is 112 square meters. Find the cost of carpeting the room by multiplying this by the price, £17.50

112(17.5)

= 1960

So, the price will be £1,960

13-?=7-2x
In the equation above what must ? be so that x has value of 2

Answers

Answer:

? = 10

Step-by-step explanation:

13 - (10) = 7-4 ....... 2×2 =4

3 = 3

express 0.27272727......... in the form of p/q

Answers

Hello,

[tex]0.\overline{27}=\dfrac{27}{99} =\dfrac{9}{33} =\dfrac{3}{11}[/tex]

0. 00147 in standard form

Answers

Answer:

Answer: It can be written as 1.47x10-³

Step-by-step explanation:

0.00147 = 1.47

1.47 = 1.47 x 10 -^3

Work out m and c for the line:2y+6x=4​

Answers

Answer:

2y +6x=4

Step-by-step explanation:

2y=4-6x

y =(4-6x)÷2

Help me or Shrek's donkey won't get pancakes!

Answers

Answer:

A. y=x and y=x+2

Step-by-step explanation:

A.

y=x and y=x+2

The equations both match the slope and intercept of the graphed equations.

Can I have the pancakes instead of the donkey?

Can somebody help I’ll give brainless

Answers

Answer:

194.51

Step-by-step explanation:

Find 6% of 183.50

183.50 * 6%

183.50 * .06

11.01

Add this to the original price

183.50+11.01

194.51

Nicole is looking at a map of her neighborhood she notices the mall is 30 miles south of your house and that the grocery stores 40 miles east of her house how far apart are the mall and the grocery store?

Answers

Answer:

Distance of grocery stores from mailbox = 50 miles

Step-by-step explanation:

Given:

Distance of grocery stores = 40 miles east

Distance of mailbox = 30 miles south

Find:

Distance of grocery stores from mailbox

Computation:

Hypotenuse² = Perpendicular² + Base²

Distance of grocery stores from mailbox = √30² + 40²

Distance of grocery stores from mailbox = √900 + 1600

Distance of grocery stores from mailbox = √2500

Distance of grocery stores from mailbox = 50 miles

A scientist is growing two species of bacteria. She defines a variable t that represents the number of days after the growth begins. The number of bacteria after t days is defined by: Species A: y=1000∙2^(t/3)
Species B: y=1000∙2^3t
(a) how many bacteria does each species start out with?

Answers

i want to know the answer

Number of bacteria each species start out with for the given exponential growth function is equals to 1000.

What is exponential growth function?

" Exponential growth function is defined as the the process of the increment in the initial quantity over the period of time 't'."

Formula defined

Exponential model

[tex]y =y_{0} e^{kt}[/tex]

[tex]y =[/tex]growth in the quantity

[tex]y_{0}[/tex] = initial quantity

[tex]k=[/tex] exponential growth

[tex]t=[/tex] time taken to grow

According to the question,

Given exponential function,

For Species A :  [tex]y=1000 (2^{\frac{t}{3} } )[/tex]

For Species B :  [tex]y=1000 (2^{3t} )[/tex]

't' represents the number of days after the growth begins

a. For the given condition of the exponential growth function ,

t = 0 when species start out with

For species A

   [tex]y=1000 (2^{\frac{0}{3} } )[/tex]

⇒ [tex]y=1000[/tex]

For species B

   [tex]y=1000 (2^{3(0) } )[/tex]

⇒ [tex]y=1000[/tex]

Hence, number of bacteria each species start out with for the given exponential growth function is equals to 1000.

Learn more about exponential growth function here

https://brainly.com/question/11487261

#SPJ2

If a chair costs 734 dollars and I give it to my friend for 823 dollars how much is my profit as a percentage

Answers

Answer:

[tex]X=12.125\%[/tex]

Step-by-step explanation:

From the question we are told that:

Cost Price [tex]CP=734[/tex]

Sale Price [tex]SP=823[/tex]

Generally the equation for Profit  P is mathematically given by

 [tex]Profit=SP-CP[/tex]

 [tex]P=823-734[/tex]

 [tex]P=89[/tex]

Therefore as a percentage

Percentage Profit X is given as

 [tex]X=\frac{89}{734}*100[/tex]

[tex]X=12.125\%[/tex]

Which of the following is the quotient of the rational expressions shown below?

Answers

Answer:

A

Step-by-step explanation:

multiple across

5 * 6 = 30

2x+1 * x = 2x^2 + x

what is the square root of -1​

Answers

Answer:

i

Step-by-step explanation:

Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.

Also, a negative number times another negative number, is a positive number. -2 * -2 = 4

With both of those true, then what number could be multiplied by itself to equal a negative number? i.

i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to [tex]\sqrt{-1}[/tex].

Hope that this helps!

I suck at math but what's greater 0.67 or 0.6

Answers

Answer:

0.67!

Step-by-step explanation:

0.6 is just 0.60 which is less than 0.67

CAN SOMEONE HELP ME OUT, PLEASE AND THANK YOU.

Answers

Answer:

what do you need help with?

Step-by-step explanation:

the average length of string a and string d is 10x cm . the average length of string b and string c is 8x cm . the average length of string b , c, d is 6x cm . find the length of string a is terms of x

Answers

Answer:

a= 18x

Step-by-step explanation:

(a+d)/2 = 10x   (1)

(b +c)/2 = 8x  (2)

(b+c+d)/3 = 6x (3)

From the equation 2, we have (b+c)= 8x *2 = 16x

From the equation 3, we have d= 6x*3 - (b+c)= 18x- 16x = 2x

From the equation 1, we have a= 10x*2 -d= 20x - 2x= 18x

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