A random survey was conducted to determine where families vacationed. The results indicated that P(B)=0.6, P(B ^M)=0.2 , and the probability that a family did not vacation at either destination is 0.1 .

a. What is the probability that a family vacations in the mountains?

Answers

Answer 1

The probability that a family vacations in the mountains is 0.3

What is termed as Venn diagram?

A Venn diagram is a diagram that uses circles to depict the relationships between things or finite collectives of things. Circles that overlap share characteristics, whereas circles that don't overlap do not.

Refer the Venn diagram.

The probability of a family vacationing at the beach is P(B) [the a whole blue circle] = 0.6,

The probability of a family vacationing at both locations is P(B∩M) [the red/blue overlapping intersection of a two circles] = 0.2.

P(only B) [the blue just background] = 0.6 - 0.2 = 0.4 is the probability which a family vacationed only on the beach.

P(neither) [a white background] = 0.1 is the possibility that a family vacationed at none of location.

Remember that the probability sum is 1.

P(M) [a entire red circle] = 1 - 0.1 - 0.4 = 0.5 is the probability which a family vacationed with in mountains.

As a result, the probability of a family vacationing only in the mountains is P(only M) [a red only background] = 0.5 - 0.2 = 0.3.

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A Random Survey Was Conducted To Determine Where Families Vacationed. The Results Indicated That P(B)=0.6,

Related Questions

64^1/2 x 27000^2/3 all over2^-4 x 3^0 x 5^2

Answers

The equation (64^1/2 x 27000^2/3 all over2^-4 x 3^0 x 5^2) is solved to be 9216

How to solve the given equation

Given data

64^1/2 x 27000^2/3 all over2^-4 x 3^0 x 5^2

Rewriting gives:

( 64^1/2 x 27000^2/3 ) / ( 2^-4 x 3^0 x 5^2 )

the solution; we first note that

64^1/2 = √64 = 8

27000^2/3 = ∛27000^2 = 900

3^0 = 1

2^-4 = 1 / 2^4 = 1 / 32

5^2 = 25

substituting gives:

= ( 8 * 900 ) / ( 1/32 * 1 * 25)

= 7200 / 25/32

= 7200/25 * 32

= 288 * 32

= 9216

The equation (64^1/2 x 27000^2/3 all over2^-4 x 3^0 x 5^2) is solved to be 9216

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At this rate how long would it take for you heart to beat 700,000 times? express your answer in days . now express your answer in days , hours, minutes, & seconds. (example:2 days , 4 hours 21 minutes, 15seconds)

Answers

Based on the rate illustrated, the time that it would take for you heart to beat 700,000 times is 8.10 days.

How to calculate the value?

It should be noted that the heart beats 86400 tines on a day.

Therefore, when the heart beats 700,000 times, the number of days will be:

Number of times / Number of times the heart beats in a day

= 700000 / 86400

= 8.10 days

Therefore, the time that it would take for your heart to beat 700,000 times is 8.10 days.

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You are playing a team card game where a team can get 0 points, 1 point, or 3 points for a hand. The probability of your team getting 1 point for a hand is 60 \% and of getting 3 points for a hand is 5 \% .

b. Design a simulation and estimate your team's average value per hand.

Answers

The team's average value per hand is 0.76 and the simulation is shown in the figure.

Average Value:

Average means the ratio of the sum of all given observations to the total number of observations.

Given,

You are playing a team card game where a team can get 0 points, 1 point, or 3 points for a hand.

The probability of your team getting 1 point for a hand is 60% and of getting 3 points for a hand is 5% .

Here we need to design a simulation and estimate your team's average value per hand.

When we use a random number generator to generate integers

1 through 20, where

1–7 represents 0 points,

8–19 represents 1 point, and

20 represents 3 points.

Do 50 trials and record the results in a frequency table.

The table looks like, the following.

Based on the frequency table, The average value is the sum of the product of each point value and its corresponding frequency is calculated as,

=> average = (0 x 16/50) + (1 x 32/50) + (3 x 2/50)

=> average = 0 + 32/50 + 6/50

=> average = 38/50

Which is approximately equal to,

=> average ≈ 0.76

Therefore, team's average value per hand is 0.76

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what would 85° F be in Celsius degrees? (Round your answer to the nearest degree.)

Answers

Answer:

The answer is 29.44 degree Celsius.

22. The mass of Mercury is about
3.3 x 1023 kg. The mass of Jupiter is
about 1.9 x 10²7 kg. About how many
times the mass of Mercury is the mass
of Jupiter?

Answers

The mass of the planet Mercury is 1.74 × 10⁻⁴ kg time the mass of the planet Jupiter.

Mass of Mercury = 3.3 × 10²³ kg

Mass of Jupiter = 1.9 × 10²⁷ kg

We need to find that how many times the mass of Mercury is the mass

of Jupiter.

For this, we will divide the mass of mercury with the mass of Jupiter.

So, we get that:

= ( 3.3 × 10²³ kg ) ÷ ( 1.9 × 10²⁷ kg )
Solving the expression by using the properties of exponents, we get that:

= 1.74 × 10⁻⁴ kg.

Therefore, we get that, the mass of the planet Mercury is 1.74 × 10⁻⁴ kg time the mass of the planet Jupiter.

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Kareem has 26 2 3 feet of vinyl siding and 33 3 4 feet of wooden siding. he cuts the vinyl siding into 3 1 3 feet long strips and the wooden siding into 2 1 4 feet long strips. how many more strips of wood siding than vinyl siding does he have

Answers

Kareem has 7 more strips of wood siding than vinyl siding.

What is a siding?

A siding is a brief railroad track with one or both ends opening into the main track, used to switch one of two meeting trains until the other has passed. Or a siding is any of a number of different forms of weatherproof face for frame buildings, made up of individual sections fastened together as shingles, plain or shaped boards, various sheet metal components, or other composition materials.

Number of vinyl siding strips = 2623/313 = 8.38 ≈ 8 strips

Number of wooden siding strips = 3334/214 = 15.57 ≈ 15 strips

Therefore, extra strips of wooden siding = 15 - 8 = 7 strips

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Simplify this algebraic expression completely
5y - 3(y + 2)



A.2y - 2

B.2y + 2

C.2y - 1

D.2y - 6

Answers

5y - 3(y + 2)

First distribute:

5y - 3(y + 2)

5y - 3y + 6

Add like terms:

5y - 3y + 6

2y + 6 :)

Guadalupe spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -5.4°F. Between 9am and noon, the temperature rose 9.4°F. Between noon and 3pm, the temperature went down 13.6°F. Between 3pm and 6pm, the temperature went down 16.9°F. What was the temperature at 6pm?

Answers

The final temperature of a winter day at 6 pm will be negative 26.5°Ferenhiet.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

For science class, Guadalupe works on a winter day taking the temperature once every three hours. The temperature was -5.4°F at 9 a.m. The temperature increased by 9.4°F from nine till noon. The temperature dropped 13.6°F between noon and three o'clock. The temperature dropped 16.9°F between 3 and 6 o'clock.

Then the temperature at 6 pm will be

⇒ - 5.4°F + 9.4°F - 13.6°F - 16.9°F

⇒ - 35.9°F + 9.4°F

⇒ - 26.5°F

The temperature at 6 pm will be negative 26.5°F.

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Determine the distance between each pair of points. Then determine the coordinates of the midpoint M of the segment joining the pair of points.
G(1,-1,6) and H(1/5,-2/5, 2)

Answers

The midpoint is at (6/10 , -7/10 , 4)

In the given statement is

To find the midpoint of the line segment joining the pair of points

G(1,-1,6) and H(1/5,-2/5, 2)

Midpoint:

The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.

m = (A +B)/2

If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =([tex]\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} , \frac{z_{1}+z_{2} }{2}[/tex]  )

where:

(x1 , y1 ,z1) are the coordinates of the first point:

(x2 , y2 , z2) are the coordinates of the second point:

Now, We are given the three points G(1,-1,6) and H(1/5,-2/5, 2)

Solving for the midpoint , we have,

m = ([tex]\frac{1+\frac{1}{5} }{2} , \frac{-1+(\frac{-2}{5} )}{2} , \frac{6+2}{2}[/tex])

m =(6/10 , -7/10 , 4)

Therefore, the midpoint is at (6/10 , -7/10 , 4)

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A student claims that the next term of the arithmetic sequence 0,2,4, ....... is 8 . Explain and correct the student's error.

Answers

an=a1+d(n−1) by applying this formula next term of the arithmetic sequence is 8.

What is arithmetic sequence?

See the pattern

2-0 = 2

4-2 = 2

By this we conclude that next term is not 8.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.

Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.

An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.

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Solve the formula for the height of the figure.
A=1/2bh
h=_
Use the formula to find the height.
h=_mm

Answers

A=36mm^2 b=12m
A= 1/2bh
2A=bh
2A/b=h
2x36/12=h
H=6m

100 POINTS + BRAINLEIST PLS ANWER ASAP

Answers

C is the correct answer:)

Please help will give brainliest

A news reporter in a city with several carbon-emitting power plants wanted to see whether local temperatures matched trends in global climate change. She
focused on the four coldest months of the year.
The table shows local temperature data from November through February for the two consecutive cold seasons checked by the reporter.
Average Monthly Temperatures (°F)
2011-2012:
November 61 1
December 51 9
January 53.6
February 56.5

2012-2013:

Nov: 64.2
Dec:56 8
Jan;48.3
Feb: 55.1

How did the mean temperature change between the two cold seasons?
You may use the calculator.
OA.
went down by 1.40
OB.
went up by 0.3°
OC.
went up by 0.9°
OD.
went up by 3.70

Answers

The mean temperature change between the two cold seasons is (b) went up by 0.3°

How to compare the mean values of both seasons?

The given parameters are:

2011-2012:

November 61 1December 51 9January 53.6February 56.5

2012-2013:

Nov: 64.2Dec:56 8Jan;48.3Feb: 55.1

The mean is calculated as

Mean = Sum/Count

So, we have

2011 - 2012 mean = (61.1 + 51.9 + 53.6 + 56.5)/4

Evaluate

2011 - 2012 mean = 55.8

Also, we have

2012 - 2013 mean = (64.2 + 56.8 + 48.3 + 55.1)/4

Evaluate

2012 - 2013 mean = 56.1

The difference in these mean values are

Difference = 56.1 - 55.8

Evaluate

Difference = 0.3

Hence, the mean temperature change between the two cold seasons is (b) went up by 0.3°

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The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:


f(x) = 0.25x2 − 8x + 600


The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:



x g(x)

6 862.2

8 856.8

10 855

12 856.8

14 862.2



Based on the given information, determine which company has a lower minimum and find the minimum value.

g(x) at (10, 855)

f(x) at (16, 536)

g(x) at (16, 536)

f(x) at (10, 855)

Answers

A function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable, By the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1.

What is function?

an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

company 1: f(x) = 0.25x² - 8x + 600

f(6) = 0.25(6²) - 8(6) + 600 = 9 - 48 + 600 = 561

f(8) = 0.25(8²) - 8(8) + 600 = 16 - 64 + 600 = 552

f(10) = 0.25(10²) - 8(10) + 600 =  25 - 80 + 600 = 545

f(12) = 0.25(12²) - 8(12) + 600 = 36 - 96 + 600 = 540

f(14) = 0.25(14²) - 8(14) + 600 = 49 - 112 + 600 = 537

company 2:    

 x       g(x)        

 6        862.2

 8        856.8

10        855

12        856.8

14        862.2

Now compare f(x) and g(X)

 x       g(x)            f(x)

 6        862.2        561

 8        856.8         552

10        855            545

12        856.8         540

14        862.2         537

Therefore based on the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1.

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Answer: it's A

Step-by-step explanation:

g(x) at (10, 855)


Evaluate each expression for x=-2,0,1 , and 4.
(2/3)x+7

Answers

The value of the expression for x = -2,0,1 , and 4 is 17/3, 7, 23/2, 29/3.

Given,

The equation is (2/3)x+7

For x = -2,

the value will be -

(2/3)(-2) + 7

= 17/3

For x = 0

the value will be -

(2/3)(0) + 7

= 7

For x = 1

the value will be -

(2/3)(1) + 7

= 23 / 2

For x = 4

the value will be -

(2/3)(4) + 7

= 29 / 3

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use the order of operations to simplify. -2+3 x(17-2)-29

Answers

Answer:

45x−31

Step-by-step explanation:

Essay writers stink

It's fox season! - Ash the Fox

(Will have new phrase every month!)

What is the definition of absolute value?
Lesson 2 TTW
The definition of absolute value is
the magnitude of a real number
without regard to its sign.
Find the absolute value of the following numbers:
|-10

Answers

Answer: The absolute value of |-10| is 10

Step-by-step explanation: The absolute value of something is the distance from the point to the 0 unit so from -10 to 0 its 10 units.

The absolute value of I-101 is 10


Use the spinner to find the probability.

b. P(pointer not landing on green)

Answers

The probability of spinner pointer not landing on green  is equal to 2/3 .

As given in the question,

Total colors in the spinner is equal to 6

Each color is 2 times

Total number of colored region =6

Number of green region = 2

Probability of pointer landing on green color region denoted by P(G)

Probability is

=(Total number of favourable outcomes) /  (Total number of outcomes )

⇒P(G)=2/6

⇒P(G) =1/3

Probability of pointer not landing on green P(G') =1-P(G)

                                                                            =1-(1/3)

                                                                            =2/3

Therefore, the probability of spinner pointer not landing on green is equal to 2/3.

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When rocket approaches the moon engineers needed to plan how the lunar

Answers

Answer:

G would equal x because she is a guy and needs to poop

Step-by-step explanation:


Determine the slope of the line that contains the given points.
E(5,4), F(8,1)

Answers

The slope of the line that contains the given points E(5,4), F(8,1) is -1.

It is given in the question that the line contains the points E(5,4) and F(8,1).

We know that:-

The formula to find the slope of a line that contains points (a,b) and (c,d) is given by:-

m = (d-b)/(c-a)

Here, we have

m = slope of the line

(a,b) = (5,4)

(c,d) = (8,1)

Hence, putting the values of (a,b) and (c,d) , we get

Slope of the line that contains the given points E(5,4), F(8,1) is given by:-

(1-4)/(8-5) = -3/3 = -1

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helpp pleasee this is so hard

Answers

Step-by-step explanation:

10) [tex]24000(\frac{1}{32} )=\frac{24000}{32} =750[/tex]

             Commission = $750

11) Constant of proportionality (k)

     k =  (Cups of blackberry) / (cups of juice)

                         [tex]k=\frac{4}{1\frac{1}{3} } =\frac{4}{\frac{4}{3} } =\frac{(4)(3)}{4} =\frac{12}{4} =3[/tex]

    3 cups of blackberry for each cup of juice

                          On the table:

   12 cups of black berry required: 12/3 = 4 cups of juice

  8 cups of juice required: (8)(3) = 24 cups of blackberries

12) The equation

     assign: cups of blackberry: b, cups of juice: j

                                   [tex]b=3j[/tex]

Hope this helps

How to simplify arational algebraic expressions​

Answers

Answer:

To simplify any rational expressions, we apply the following steps:

Factorize both the denominator and numerator of the rational expression. Remember to write each expression in standard form.

Reduce the expression by cancelling out common factors in the numerator and denominator

Rewrite the remaining factors in the numerator and denominator.

Step-by-step explanation:

Example:

                 Simplify: (x^{2}  + 5x + 4) (x + 5)/(x^{2}  – 1)

Solution:

Factoring the numerator and denominator to get;

⟹ (x + 1) (x + 4) (x + 5)/(x + 1) (x – 1)

Now cancel the common terms.

⟹ (x + 4) (x + 5)/(x – 1)

According to a college survey, 22% of all students work full time. If 12 college students are randomly selected, find the probability that exactly three of them work full time.

Answers

The probability that exactly three of them work full time is 0.25.

How to calculate the probability?

It should be noted that from the information, we want to find P(X = 3).

This will be illustrated as:.

12C3(1 - 22%)^9(0.22)³

= 220(0.78)^9(0.22)³

= 0.250

Therefore, the probability that exactly three of them work full time is 0.25.

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Find the H.C.F:
a^3+b^3, a^4+a^2.b^2+b^4, a^4-a^2b+ab^2

Answers

Answer:

54 sqrt Mr multiple question is whether you are a man or a boy are you ok

Paula is scuba diving. Her elevation changes by -374 m in 4.5 min. What rational number represents the average change in Paula's elevation each minute? Show your work.​

Answers

Is -378.5

you don't need work it's just this

-(374+4.5)

a light flashes every 2 minute, a second light flashes every 3.5 minutes, and a third light flashes every 4 minutes. if all three light flashes together at 8pm whis is the next time of the day they will flash together​

Answers

You must determine the least common multiple of the three in order to respond to this.  8:28 pm will be the moment when all three lights flash simultaneously next.

Wat is the LCM of 2, 3.5, and 4 in whole numbers?

Work with 3.5 now:

3.5 * 1 Equals 3.5 (no, 2 and 4 don't split into 3.5 in an equal manner)

3.5 * 2 = 7 (no, same excuse)

3.5 * 3 = 10.5 (nope) (nope)

3.5 * 4 = 14 (nope) (nope)

3.5 * 5 = 17.5 (nope) (nope)

3.5 * 6 = 21 (nope) (nope)

3.5 * 7 = 24.5 (nope) (nope)

3.5 * 8 = 28 (yes, as 2 and 4 are factors of 28) (yep, since 2 and 4 are factors of 28)

Therefore, 8:28 pm will be the moment when all three lights flash simultaneously next.

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4 and 1 over 7 divided by 2 over 3
(Ignore messy writing I rush myself)

Answers

Answer: If the question is 41/7 divided by 2/3 then the answer is 123/14 or 8 11/14

Step-by-step explanation:

I need this answered please

Answers

Answer:

2g+12 = Goran's height

determine whether the following graph represent a function.

1. one to one function
2. function, but not one to one
3. Not a function

Answers

Answer:

Choice 1
It is a one to one function.

Appears to be a cubic function

Step-by-step explanation:

what is the average rate of change, please simply your answer (PICTURE BELOW)

Answers

Answer:

The answer to this question is 0

Step-by-step explanation:

see attached photo for explanation

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Select the correct answer form each drop-down menu.Given: m/WOZ = 90Prove: m/WOX = 90XWNComplete the proof.Suppose m/WOX # 90. By theZWOXis supplementary to ZWOZ. Therefore,m/WOX + m/WOZ = 180. By the assumption and the substitution property of equality. 90 +m/WOZ 180. Using thesubtraction property of equality, the measure of angle WOZ90, which contradicts the given. Therefore, theassumption is not true, and m/WOX = 90.4ResetNext. Answer? 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