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Answer:

Required probability = 2 / 11

Step-by-step explanation:

Sample space of 5 person = 11!

One woman one man arrangement = 2!

Arrangement without woman = 10!

Required probability = [2!][10!] / [11!]

Required probability = 2 / 11

The probability that the parents will be standing next to each​ other is 2/11

Probability is the likelihood or chance that an event will occur.

Given a woman, man and their four children, if their parents will be standing next to each other, that makes it 5 people. The sample space for 5 people is 11!

Pr(parents standing next to each other) =  2!10!/11!

Pr(parents standing next to each other) = 2*10!/11*10!

Pr(parents standing next to each other) = 2/11

Therefore the probability that the parents will be standing next to each​ other is 2/11

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Answer:

[tex] \huge{ \boxed{ \bold{ \sf{no \: solution}}}}[/tex]

Step-by-step explanation:

Remember that the equal terms on both side should be cancelled.

[tex] \dashrightarrow{ \sf{ \cancel{5x} \: - 7 = \cancel{ 5x }}}[/tex]

[tex] \dashrightarrow{ \sf{ - 7 = 0}}[/tex]

The statement is false for any value of x. It cannot be further solved! So , 5x - 7 = -5x doesn't have any solution.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

Answer:

Step-by-step explanation:

Given: AB≅DE, BC≅EF, CA≅FD

Since those are the given it is maped A to D, B to E, C to F

This is a rigid transformation because the distance is preserve (givens) and the triangle ABC is map to triangle DEF.

Rigid transformations produce congruent figures so triangle ABC is congruent to triangle DEF

Answer:

b

Step-by-step explanation:

significant figures means counting the digits that either come before a trail of zeros (45.0000 has 7 significant figures) or come after a trail of leading zeros (00.31 has two significant figures, because the zeros before the decimal point have no other digit in front of them and do not count) 1005.0 would have 6 significant figures

Answer:

Slope formula!

Step-by-step explanation:

You'd use that to find the slope!! THEN you'd use slope intercept form, but this one first!

I really hope this helped!! Have a good day :)

Answer:

y = 3x - 1

Step-by-step explanation:

Well I really don't understand what you're asking, but I'll give it a go.

y = 3x -1

That's what the equation would look like.

Hope this is what you wanted!!!

Answer:

cost of each kettle:

gain/loss from each transaction:

total loss = 65

loss % = 4%

Step-by-step explanation:

both kettles cost 1625

K₁ + K₂ = 1625

selling price of K₁ = [(100 + 20) / 100] x K₁ = 1.2K₁

selling price of K₂ = [(100 - 80) / 100] x K₂ = 0.8K₂

1.2K₁ = 0.8K₂

K₁ = 1625 - K₂

K₁ = 0.8K₂ / 1.2

1625 - K₂ = ²/₃K₂

1625 = ²/₃K₂ + K₂ = ⁵/₃K₂

K₂ = 1625 x ³/₅ = 975

K₁ = 1625 - K₂ = 1625 - 975 = 650

selling price = 1.2K₁ = 1.2 x 650 = 780

selling price K₂ = 0.8K₂ = 0.8 x 975 = 780

gain from selling K₁ = 780 - 650 = 130

loss from selling K₂ = 780 - 975 = 195

total loss = 195 - 130 = 65

loss % = 65 / 1625 = 0.04 = 4%

Answer:

b) 0.0042495

c) 0.048021

Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c

Step-by-step explanation:

mean of 7.5 ounces and a standard deviation of 1.33 ounce

When random number of samples are given, we solve using z score with the formula

= z = (x-μ)/σ/√n, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

(a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples?

(b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces?

x > 8.2 ounces

= z = (x - μ)/σ/√n

z = (8.2 - 7.5)/1.33/√25

z = (8.2 - 7.5)/1.33/5

z = 2.63158

Probability value from Z-Table:

P(x<8.2) = 0.99575

P(x>8.2) = 1 - P(x<8.2) = 0.0042495

(c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b?

For n= 10

x > 8.2 ounces

= z = (x - μ)/σ/√n

z = (8.2 - 7.5)/1.33/√10

z = 1.66436

Probability value from Z-Table:

P(x<8.2) = 0.95198

P(x>8.2) = 1 - P(x<8.2) = 0.048021

Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c

Answer:

A

Step-by-step explanation:

remember y=Mx+b where M is slope mad B is y intercept

Answer:

[tex]x^{2} -6x+xy-6y[/tex]

Step-by-step explanation:

Answer:

The values of coefficients a, b and c are

a=1

b=6

c=6

Step-by-step explanation:

We need to give the values of coefficients [a],[b] and [c]  regarding the product in the form of [tex]ax^2-bx + xy - cy[/tex]

The term given is: [tex](x+y)(x-6)[/tex]

First we will multiply the terms

[tex](x+y)(x-6)\\=x(x-6)+y(x-6)\\=x^2-6x+yx-6y[/tex]

Now comparing the product [tex]x^2-6x+yx-6y[/tex]  with the given form [tex]ax^2-bx + xy - cy[/tex]

The values of coefficients a, b and c are

a=1

b=6

c=6

9514 1404 393

Answer:

  16.9 m/s N 32.9° W

Step-by-step explanation:

The resultant magnitude can be found from the law of cosines. The internal angle between the boat's heading and the river flow is 135°, so the magnitude of the boat's net speed is ...

  v² = 5² +13² -2·5·13·cos(135°) ≈ 285.924

  v = 16.9093 . . . . m/s

The angle (α) between the boat's heading and the resultant velocity can be found from the law of sines.

  sin(α)/5 = sin(135°)/16.9093

  α = arcsin(5/16.9093×sin(135°)) ≈ 12.07°

The boat's actual heading will be this angle less than the 45° angle the heading makes with due North.

  45° -12.07° = 32.93°

The boat's velocity with respect to shore is about ...

  16.9 m/s N 32.9° W

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

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

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

Answer:

y = -3x + 1

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.

Plug in the slope and given point into y = mx + b

y = mx + b

-5 = -3(2) + b

-5 = -6 + b

1 = b

Then, plug in the slope and y intercept into y = mx + b again:

y = -3x + 1 will be the equation of the line

Answer: 4.5

Step-by-step explanation:

Since the two black chords are congruent, we know that since the bottom black chord is split into two congruent parts, x = 4.5.

4 divided by 0.576 is approximately equal to 6.9444.

To find the result of 4 divided by 0.576, we can perform the division by dividing the numerator ( 4 ) by the denominator ( 0.576 ).

When we divide 4 by 0.576, we get approximately 6.9444.

Therefore, 4 divided by 0.576 is approximately equal to 6.9444.

In decimal form, this indicates that 4 can be divided into 0.576 approximately 6.9444 times. The result is a decimal number that extends to multiple decimal places. To obtain a more precise or exact answer, additional decimal places may need to be considered in the calculation.

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Answer: The 3/8 image will go with the answer 3/4 x 1/2. The The 3/16 image will go with the answer 1/4 x 3/4. And finally, the 4/9 image goes with the answer 2/3 x 2/3. You’re welcome. :)

Step-by-step explanation:

Answer:

I'll try my best in explaining the steps.

Considering both signs are greater than and less than sign, its an open circle.

For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.

For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.

Step-by-step explanation:

Answer:

x = 7, y = -2

Step-by-step explanation:

hey i assume those are two different equations

(x + 3y = 1) 3

-3x - 3y = -15

3x  + 9y =  3

add both equations in elimination method

6y = -12, y = -2

x + 3(-2) = 1

x + -6 = 1, x = 7

Answer:

36.67

Step-by-step explanation:

when you solbe you get 36.667 then round to become 36.67

Answer:

37°C

Step-by-step explanation:

The normal body temperature of a human is 98°F. To convert it into Celsius we know the realtion between Celsius and Farenheight as ,

➳ C/5 = F -32/9

➳ C/5 = 98 - 32/9

➳ C/5 = 66/9

➳ C = 66/9 × 5

➳ C = 36.66 °C ≈ 37°C

Answer:

The answers are as follows:

1 . Option C: 2.063

2. Option A: 81.83

3. Option A: 84.61 kilograms

4. Option B: P63.95

5. Option A: 29.5°C

Step-by-step explanation:

Lets look at the questions one by one.

1. When you add the decimal numbers 0.25, 0.033 and 1.78 the result is ?

The question simply requires adding the three quantities.

The result is 2.063

Hence, Option C is correct.

2. What is the difference when 43.67 is subtracted from 125.5?

Subtracting 43.67 from 125.5, we get

125.5 - 43.67 = 81.83

Hence,

Option A is correct

3. Valerie, Gianna and Candice went to school clinic to find out their weights. Valerie's weight is 28.58  kilograms, Gianna's weight is 30.55 kilograms and Candice's weight is 25.48 kilograms. What is the total  weight of the three pupils?

Adding all the weights

28.58+30.55+25.48 = 84.61

Hence, Option A is correct.

4. Keziah spent P24.85 for sandwich and P11.20 for juice. How much change did he receive if she gave the  vendor P100?

For this first we have to calculate the total cost

24.85+11.20 = 36.05

Now to find the change he will get

Subtracting total expense from 100

100-36.05 = 63.95

Hence, Option B is the correct answer.

5. At 6:00 in the morning, the temperature was 23.8 °C. At 12:00 noon, the temperature rose by 5.7°C. What  was the temperature at 12:00 noon?

The sum of temperature at 6:00 and the rise will tell us the temperature at 12:00

So,

23.8+5.7 = 29.5

Hence,

Option A is correct

The answers are as follows:

1 . Option C: 2.063

2. Option A: 81.83

3. Option A: 84.61 kilograms

4. Option B: P63.95

5. Option A: 29.5°C

Answer:

it is c

Step-by-step explanation:

tje biggest is 34-9 which is smallest and get 25

Answer:

I didn't know the answer and sorry I am here taking freepoint because I needed them in a hurry so that I can ask my questions from someone else that's why I really sorry and thank you for free points

Answer:

1. The speed of the truck, S = D/T.

2. The formula that connects D and T is: S = D/T.

3. The coefficient of variation, k, is the ratio of the standard deviation to the mean speed.

Step-by-step explanation:

a) The speed of a truck at a fixed speed is given as the distance covered by the truck divided by the time it takes the truck to cover the said distance.  This implies that speed is a function of distance and time.  However, this formula represents the mean speed.  There are variations in speed.

b) If the truck covers a distance of 60 kilometers, for example, under 3 hours, we can conclude that the speed is 20 kilometers per hour (60/3) or 20 km/hr.

Answer:

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. To find the area of a rectangle, multiply the length by the width.

A rectangle with four sides of equal length is a square.

Following image represents the area of a rectangle.

A perimeter is a path that surrounds a two-dimensional shape. The word comes from the Greek peri (around) and meter (measure). The perimeter can be used to calculate the length of fence required to surround a yard or garden. Following image represents the perimeter of a rectangle.

Step-by-step explanation:

Sorry if this is wrong.

I have no idea if this is right but i tried.

Sorry im dumb.

If its right Yw.

:)

Answer:

Part A:  2(4x)+2(y)+2(2) and 2(4x+y+2)

Part B:  #2 and #4

Step-by-step explanation:

Part B:

- #2:     4 x 3 is 12 and 4 x 6 is 24

- #3:      2 x 6 is 12 and 6 x 4 is 24

Bothe are the same.

Answer:

I would believe that it would be close 7 whatever is closest to seven bro

Answer:

12

Step-by-step explanation:

20%=2/5

2/5 is equivalent to 12/30

therefore 12 uniforms are medium

Answer:

Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.

Answer:

Jack is 81, Priscilla is 73

Step-by-step explanation:

Because their age difference is 8 years, we can subtract 8 from the total 154 years to get 146. Then we divide by 2 to get 73, so Priscilla is 73. Jack is 8 years older, so therefore he is 81. We can check this by adding 81 + 73 = 154.