In a survey of a community, it was found that 55%
like summer season, 20% like winter season, 40%
don't like both seasons and 750 like both seasons. By
using Venn diagram, find the number of people who
like winter season.​

Answers

Answer 1

Answer:

The number of people who like winter season is 1000.

Step-by-step explanation:

Event event correspond to a set in the Venn diagram, and we use it to find the percentages.

I am going to say that:

Event A: Like summer season

Event B: Like winter season.

55% like summer season

This means that [tex]P(A) = 0.55[/tex]

20% like winter season

This means that [tex]P(B) = 0.2[/tex]

40% don't like both seasons

This means that 100% - 40% = 60% like at least one, which means that [tex]P(A \cup B) = 0.6[/tex]

Proportion who like both:

This is [tex]P(A \cap B)[/tex]. The measures are related by the following equation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

Using what we have

[tex]P(A \cap B) = 0.55 + 0.2 - 0.6 = 0.15[/tex]

750 like both seasons.

This is 15% of the sample. So the total number of people is t, for which:

[tex]0.15t = 750[/tex]

[tex]t = \frac{750}{0.15}[/tex]

[tex]t = 5000[/tex]

20% like winter season

Out of 5000. So

0.2*5000 = 1000

The number of people who like winter season is 1000.


Related Questions

What is 593832+872382828=
Plz answer /

Answers

Answer:

8,729,766,60

Step-by-step explanation:

593832+872382828= I'm 100% sure my answer is correct I worked it out on paper and calculated it after

Answer:

Step-by-step explanation:

872976660


What is the GCF of 4 and 8? *

Answers

Answer:

i think it is for 4 it is 2 and for 8 it is 4 hope this helps

Step-by-step explanation:

WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND DOUBLE POINTS:

Jack scored 7,9,2,6,15,15 points 6 basketball games. Find the mean,median and mode scores for all the games

Answers

Answer:

mean = 9

mode = 15

median = 8

Step-by-step explanation:

I'm needing help with 4,5,6​

Answers

3. Acute
4. Right
5. Acute

Hope this helps!

Answer:

4. acute

5. obtuse

6. obtuse

Step-by-step explanation:

Given that € 1 = £0.72
a) How much is € 410 in £?
b) What is the £ to € exchange rate?

Answers

Answer:

a) 295.2

Step-by-step explanation:

a) cross multiplication method

€1=£0.72

€410=x

x=€410×£0.72

Solve for the indicated variable in the literal equation. REAL ANSWERS ONLY!​

Answers

Answer:

[tex] \large \boxed{l = \frac{P + 9}{ - 4} }[/tex]

See below for two alternative solutions.

Step-by-step explanation:

Goal

Solve for the l-term.

Given Equation

[tex]P = - 3 - 4l - 6[/tex]

Step 1

Make the l-term as the subject of equation by moving - 3 and - 6 to another side so we can leave l-term as the subject.

[tex]P + 3 + 6 = - 4l[/tex]

Simplify by adding 3 and 6.

[tex]P + 9 = - 4l[/tex]

Remember that we cannot combine a variable and a constant. We can only combine a like term.

Step 2

Move -4 to divide P+9 so we can finally solve for l-term.

[tex] \frac{P + 9}{ - 4} = l[/tex]

Alternative Solutions

1) We change the position of the negative sign of 4.

[tex] - \frac{P - 9}{4} = l[/tex]

2) Simplify in the simplest form.

[tex] \frac{P + 9}{ - 4} = l \\ \frac{P}{ - 4} + \frac{9}{ - 4} = l \\ - \frac{P}{4} - \frac{9}{4} = l[/tex]

Zahir is going to the movies. The cost of a movie ticket is $10.50 and candy costs $3 for each box. He has a maximum of $20 to spend. How many boxes of candy can he buy?

b = # of boxes of candy he can buy

Answers

Answer:

3 boxes of candy

Step-by-step explanation:

$20.00 = $10.50 + 3(b)

3*3 = $9.00

$10.50 + $9.00 = $19.50

$20.00 - $19.50 = $0.50

($0.50 is the reminder).

Have a great day, all!!

plz help i have 9 min and i dont understand plz help worth 20 points

Answers

Answer:

no question

Step-by-step explanation:

A large store has a warehouse it uses for storage. Trucks back up to the loading dock where merchandise is unloaded, sorted, and stacked in the correct area of the warehouse. The large shelves in the storage area are 17 feet 8 inches apart so the forklift machines can operate between the shelves. Is that distance greater than or less than 216 inches?

Answers

Answer:

The distance is less than 216 inches.

Step-by-step explanation:

Each feet has 12 inches.

The large shelves in the storage area are 17 feet 8 inches apart

So, in inches, this distance is of:

17*12 + 8 = 212

This distance is less than 216 inches.

A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall. Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 32 inches. What is the length (to the nearest tenth of a foot) of the tree’s shadow that will allow the tree to be cut down?

Answers

Answer:

create a proportion 72/348 = 32/x

Step-by-step explanation:

x = 1682

1682 ÷ 12 = 140.1

The length of the tree’s shadow that will allow the tree to be cut down will be 150.5 inches.

What are ratio and proportion?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall.

            29 feet = 348 inches

6 feet 2 inches = 74 inches

Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 32 inches.

Then the length of the tree’s shadow that will allow the tree to be cut down will be

Let x be the tree’s shadow. Then we have

x / 348 = 32 / 74

x = 150.486

x ≅ 150.5 inches

More about the ratio and the proportion link is given below.

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8 grade solution plobem, first explantion gets brainest

Answers

Answer:

x=8

y=1/6x+4/6

y= 2

Step-by-step explanation:

Ok so .. the first answer is
-2x + 18 =2
Move the constant to the right
-2x =2 - 18
Calculate the difference
-2x = -16
Divide both sides of the equation by -2
And that’s how I got x=8


The other one is x - 6y = -4
X= 6y - 4
Move the variable to the left hand side by adding it’s opposite to both sides
X - 6y = 6y - 4 - 6y
Since two opposites add up to zero,remove them from the expression
And that’s how x - 6y = -4

Is (2, 1) a solution to this system of equations?
4x + 12y = 20
x + y = 3
yes
no

Answers

Answer:

yes

I hope to help you

my dear

Answer:

no

Step-by-step explanation:

4(2)+12(1)=20

8 + 12 =20

20 = 20

Find the x-intercept and y-intercept of the following
equation
2x + 5y = -6

Answers

Answer:

x = -3

y = -6/5

Step-by-step explanation:

To find the x-intercept(s), substitute in 0 for y and solve for x.

2x + 5(0) = -6

x = -3

Find the y-intercepts.

To find the y-intercept(s), substitute in 0 for x and solve for y.

2(0) + 5y = -6

y = -6/5

good luck, i hope this helps :)

1. In order to save for her high school graduation, Kathrina decided to save ₱200 at the end of every other month, starting the end of the second month. If the bank pays 0.250% compounded monthly, how much will be her money at the end of 5 years? (use j = 0.000417, n = 30)

2. Emma availed of a cash loan that gave her an option to pay ₱10,000 monthly for 1 year. The first payment is due after 6 months. How much is the present value of the loan if the interest rate is 12% converted monthly?

Answers

Answer:

1) 202.52

2) P107089

Step-by-step explanation:

Compound interest is calculated as

A = P (1 + r/n)^(nt), where

A = compounded interest

P = present value

r = interest

n = number of times interest applied

t = time taken

A = 200 (1 + 0.25%/30)^(30 * 5)

A = 200 (1 + 8.3*10^-5)^150

A = 200 * 1.0126

A = 202.52

Present Value Annuity Due is usually given by the formula

P = c*((1-(1+ i)^(-n))/i)*(1 + i ), where

P is the present value

C is the Cash flow per period

i is the interest rate and

n is the number of payments

P = 10000*((1-(1+ 12/1200)^(-1*12))/(12/1200))*(1+12/1200)

P = 113676

Also, it's worthy of note that

Effective Annual Rate = [(1 +stated rate/no. of compounding periods) ^no of compounding periods - 1]* 100

EAR = ((1+12/(12*100))^12-1)*100

EAR = 12.68%

And lastly, the

Future value = present value*(1+ rate)^time

113676 = Present value*(1+0.1268)^0.5

Present Value = 113676 / 1.1268^0.5

Present Value = 113676 / 1.0615

Present value = 107089

Please help me please ! Also the answer is not a

Answers

Answer:

The answer is c

Step-by-step explanation: Since both terms are perfect squares, factor using the difference of squares formula to get the answer i hope this helps

Hey there!

The answer is C.

To factor an expression, you take the root (same as exponent variable has) of the terms and put them into parantheses. We can also check the choices to see if they're correct by solving them.

A is incorrect, because if you solve it, you would have [tex]x^2-121[/tex]

B is incorrect, because if you solve it, you would have [tex]121x-x^2[/tex]

C is correct, because if you solve it, you would have [tex]121-x^2[/tex]

D is incorrect, because it CAN be factored.

Have a super awesome day! :)

If the probability of an event happening is 82/97, what are the odds against it happening?

Answers

Answer:

15/97?

Step-by-step explanation:

Just Minus the 82 and 97 to be the probability against it happening.

Sorry if I'm wrong

Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcus
spells a word correctly and has the opposite score. Which is the correct way to represent the opposite of
Liliana's score is equal to Marcus's score"?
0 -18-18
O-(-18) --18
-(18) --18
-(-18) - 18

Answers

Answer:

The answer is B or -(-18) = 18

Step-by-step explanation:

on Edg 2021

Answer:

D

Step-by-step explanation:

Cuz I did it on a test and I got it right.

Does the expression (4r+6)
________
2
Also represent the number of females on the team this year? EXPLAIN.

Answers

Answer:

yes

Step-by-step explanation:

y = x^5 sin (2x) cos (4x)
find the derivative​

Answers

y = x⁵ sin(2x ) cos(4x)

y' = d/dx (x⁵ sin (2x) × cos (4x) + x⁵ sin(2x) ). ×
d/dx (cos(4x) )

y' = 5x⁴ sin(2x) cos(4x)+2x⁵ cos(2x) cos(4x) -4x⁵ sin(2x) sin(4x)

The derivative​ of the equation will be y' = 5y/x + 2y cot (2x) - 4y tan (4x).

What is differential equation?

An equation containing derivatives of a variable with respect to some other variable quantity is called differential equations.

The derivatives might be of any order, some terms might contain product of derivatives and the variable itself, or with derivatives themselves.

They can also be for multiple variables.

y = x⁵ sin(2x ) cos(4x)

The differentiation;

y' = d/dx (x⁵ sin (2x) × cos (4x) + x⁵ sin(2x) ). × d/dx (cos(4x) )

y' = 5x⁴ sin(2x) cos(4x)+2x⁵ cos(2x) cos(4x) -4x⁵ sin(2x) sin(4x)

From the given equation;

y' = 5y/x + 2x⁵ cos(2x) cos(4x) - 4x⁵ sin(2x) sin(4x)

y' = 5y/x + 2y cot (2x) - 4y tan (4x)

Learn more about derivatives ;

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Evaluate the expression: 16.2 x 2 + 1/2 x 8.5 x 12

Answers

83.4. Is the answer.

Answer:

83.4

Step-by-step explanation:

16.2 x 2

=

32.4 +

1/2 x 8.5 x 12  

=

51 + 32.4 = 83.4

Hope this helps!

make a problem about simple interest​

Answers

Answer:

Simple Interest (SI) = Amount (A) – Principal (P) = 6000 - 5400. = 600

Answer:

1. Robert deposits $ 3000 in State Bank of India for 3 year which earn him an interest of 8%.What is the amount he gets after 1 year, 2 years and 3 years?

Step-by-step explanation:

Solution:

In every $ 100, Robert gets $ 8.

(Since rate is 8% → 8 for every 100)

Therefore, for $ 1 he gets = $ 8/100

And for $ 2000 he gets = 3000 x 8/100 

= $ 240

Simple Interest for 1 year = $ 240.

Simple Interest for 2 year = $ 240 x 2 

= $ 480

Simple Interest for 3 year = $ 240 x 3

= $ 720

Therefore, Amount after 1 year = Principal (P) + Simple Interest (SI)

= 3000 + 240

= $ 3240

Amount after 2 years = Principal (P) + Simple Interest (SI)

= 3000 + 480

= $ 3480

Amount after 3 years = Principal (P) + Simple Interest (SI)

= 3000 + 720 = $ 3720

We observe from the above example that, the Interest cannot be calculated without Principal, Rate and Time.

Therefore, we can conclude that Simple Interest (S.I.) depends upon:

(i) Principal (P)

(ii) Rate (R)

(iii) Time (T)

And therefore, the formula for calculating the simple interest is

Simple Interest (SI) = {Principal (P) × Rate (R) × Time (T)}/100

Amount (A) = Principal (P) + Interest (I)

Principal (P) = Amount (A) – Interest (I)

Interest (I) = Amount (A) – Principal

please help im so lost

Answers

Answer:
C converse of alternate interior angles

Extra p!
Someone help me, Thanks!!

Answers

Answer:

Step-by-step explanation:

so confused right now

Answer:

Step-by-step explanation: the answer is breme

Prior to the Academy Awards ceremony in 2009, the United Kingdom bookmaker Ladbrokes reported the following odds for winning an Oscar in the category of best actress (The Wall Street Journal, February 20, 2009).
Best Actress Movie Odds
Anne Hathaway Rachel Getting Married 2:11
Angelina Jolie Changeling 1:20
Melissa Leo Frozen River 1:33
Meryl Streep Doubt 3:10
Kate Winslet The Reader 5:2
a. Express the odds for each actress winning as a probability. (Round your answers to 3 decimal places.)
Best Actress Probability
Anne Hathaway
Angelina Jolie
Melissa Leo
Meryl Streep
Kate Winslet

Answers

Answer:

Anne Hathaway: 0.154 = 15.4%

Angelina Jolie: 0.048 = 4.8%

Melissa Leo: 0.029 = 2.9%

Meryl Streep: 0.231 = 23.1%

Kate Winslet: 0.714 = 71.4%

Step-by-step explanation:

Odds to probability:

Odds of a:b

The probability is given by:

[tex]p = \frac{a}{a+b}[/tex]

Anne Hathaway 2:11

So [tex]p = \frac{2}{2+11} = \frac{2}{13} = 0.154[/tex]

Angelina Jolie 1:20

So [tex]p = \frac{1}{1+20} = \frac{1}{21} = 0.048[/tex]

Melissa Leo 1:33

So [tex]p = \frac{1}{1+33} = \frac{1}{34} = 0.029[/tex]

Meryl Streep 3:10

So [tex]p = \frac{3}{3+10} = \frac{3}{13} = 0.231[/tex]

Kate Winslet 5:2

So [tex]p = \frac{5}{5+2} = \frac{5}{7} = 0.714[/tex]

32 is 200% of what number

Answers

Answer:

64

Step-by-step explanation:

fen bilimleri sorusu limana yaklaşan bir geminin önce gövdesimi görünüyorduuuuu yoksa bacasımı ¿¿¿¿ ^-^​

Answers

Answer:

ilk önce en ön kısmı gözükür

bacası öndeyse bacası gözükür

şöyle düşün elinde bir top var ve bir gemi gemiyi topun altindan yukariya doğru götürüyorsun ve ilk en öndeki kısmı gözükür

solve t(3+4) if t= 7​

Answers

49.
7(3+4)
3 + 4= 7
7 x 7 = 49

Answer:

=49

Step-by-step explanation:

7(3+4) substitute 7 into t

7(7) add numbers in brackets bec of BODMAS

49

I need help with this also

Answers

Answer:

Part A: $336.4

Part B:279.2645625

Step-by-step explanation:

$320+5.125% tax = 336.4

Part B:$279.2645625-5.125% tax = 279.2645625 bucks.

Thank you and good luck cheating

Which polynomial represents the sum below? (-x^3 + 3x^2 + 3) + (3x^2 + x + 4)

Answers

Answer:

Cddd

Step-by-step explanation:

Joanna makes and sells candles online. She charges $7 per candle, and shipping is $5 per order. Select an expression that Joanna can use to find the total cost for any candle, n, order. 7 + n + 5 7 + n + 5 7n + 5 7n + 5 7 ÷ n + 5 7 ÷ n + 5 7n - 5

Answers

Answer: Total cost= 7n + 5

Step-by-step explanation:

7 is the M (money per every candle) and 5 is the B (additional fee for every order)

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