if the first one to arrive will wait only 20 min before leaving to eat elsewhere, what is the probability that they have dinner at the health-food restaurant? [hint: the event of interest is a

Answer:

B and D

Step-by-step explanation:

the correct answer is : B and D

Answer:

Step-by-step explanation:

42*2/3=84/3=28

There are 15 employees in the office and 5 need to be chosen, so there are a total of (15 choose 5) possible ways to select the employees. This can be calculated using the formula for combinations:

(15 choose 5) = 15! / (5! * 10!) = 3003

Now, we need to find the number of ways that the specific group of you, Diana, Kyle, Nancy, and Arthur can be chosen. This is simply (5 choose 5), since we want to choose all 5 members of the group.

(5 choose 5) = 5! / (5! * 0!) = 1

Therefore, the probability of this specific group being chosen is:

(5 choose 5) / (15 choose 5) = 1 / 3003 ≈ 0.0003

So the probability of you, Diana, Kyle, Nancy, and Arthur being chosen is very low, at approximately 0.0003 or 3 in 10,000. This is because there are many other possible groups of 5 employees that could be chosen from the pool of 15, and all of these groups have an equal chance of being selected.

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Answer:

arc FA = 150°

Step-by-step explanation:

the central angle of a circle is equal to the measure of the arc that subtends it.

given BF is the diameter of the circle , then

∠ FCA + ∠ ACB = 180°

∠ FCA + 30° = 180° ( subtract 30° from both sides )

∠ FCA = 150°

then

arc FA = ∠ FCA = 150°

a) The probability that he will make both free throws is 81 %

b) The probability that he will make at least one free throw is 18 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the particular NBA player makes 90 % of his free throws

Now , the equation will be

The probability that the first shot going in = 90 %

And , the probability that the first shot does not go in = 10 %

So , there are 4 scenarios when he is awarded 2 free throws

Both the shots going in = 90 % x 90 %

Both the shots not going in = 10 % x 1- %

Missing one shot and and one shot going in = 10 % x 90 %

And , One shot going in and missing one shot = 90 % x 10 %

a)

Now , the probability that he will make both free throws = Both the shots going in

Substituting the values in the equation , we get

The probability that he will make both free throws = 0.9 x 0.9 = 0.81

The probability that he will make both free throws = 81 %

b)

The probability that he will make at least one free throw = Missing one shot and and one shot going in = 10 % x 90 %   +   One shot going in and missing one shot = 90 % x 10 %

Substituting the values in the equation , we get

The probability that he will make at least one free throw = 0.1 x 0.9 + 0.9 x 0.1

The probability that he will make at least one free throw = 0.09 + 0.09

The probability that he will make at least one free throw = 0.18

The probability that he will make at least one free throw = 18 %

Hence , the probabilities are solved

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Answers of integer expression is -4, -10, 14 and -11.

A number system is defined as a system of writing to express numbers.

The first expression is -5+8-7

-5+8-7

Add the minus terms and then add with positive eight.

-12+8

The answer of integer expression is -4

2. The second expression is -12-7+9

-19+9

When minus nineteen and plus nine are added we get minus ten.

The answer of integer expression is -10

3. 9-13+18

Add the two positive integers and then use subtraction

27-13

14

The answer of integer expression is 14

4. 7-15-3

Add the negative values and add the positive seven.

7-18

-11

The answer of integer expression is -11

Hence, answer of integer expression is -4, -10, 14 and -11.

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Answer:

HECD

Step-by-step explanation:

1. -5 + 8 - 7 = -4: H

2. -12 - 7 + 9 = -10: E

3. 9 - 13 + 8 = 4: C

4. 7 - 15 - 3 = -11: D

Code: HECD

Gonzalez little sister thinks that all of Deazia's time slash distances point should be on the line drawn by her coach which is correct as it provides an accurate reference frame.

This is a term which is used to represent a set of coordinates or it is also referred to as something you use to measure the things that matter in Newtonian problems and other areas of life.

Time slash distances point which should be on the line drawn by her coach is correct because it makes the measurement of the different variables and parameters involved to be more accurate as against when another line is used.

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we can pour no more than 541 cheerios into the bowl while maintaining a density of no more than 0.3 cheerios per square inch.

What is rectangle ?

Rectangle can be defined in which the opposite sides are equal and area of rectangle is product of length and breadth.

Given ,

I poured a bowl of cereal in a Tupperware container with the following dimensions (L=9 in, w=6 in, h=3). I want no more than a density of 0.3 cheerios per sq in in my "bowl."

We can start by calculating the surface area of the Tupperware container, which is equal to 2 times the sum of the area of the base and the area of the two rectangular sides:

Area of base = Length * Width = 9 in * 6 in = 54 in²

Area of two rectangular sides = Height * Length = 3 in * 9 in = 27 in²

Surface area = 2 * (54 in² + 27 in²) = 2 * 81 in² = 162 in²

Next, we can find the maximum number of cheerios that can be poured into the bowl by dividing the surface area by the maximum allowed density of 0.3 cheerios per square inch:

Maximum number of cheerios = Surface area / Maximum allowed density = 162 in² / 0.3 cheerios/in² = 541 cheerios

Hence, we can pour no more than 541 cheerios into the bowl while maintaining a density of no more than 0.3 cheerios per square inch.

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The amount in the college fund is $16,899.66

In order to determine the amount in the college fund, we need to find the  future value of the money.

The formula for the future value of money is:

FV = PV * (1 + r)^t

where:

FV = future value

PV = present value (initial amount)

r = interest rate (as a decimal)

t = time (in years)

PV = $5000, r = 7% = 0.07, t = 18

FV = PV * (1 + r)^t

FV = 5000 * (1 + 0.07)¹⁸

FV = 5000 * (1.07)¹⁸

FV = $16,899.66

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Complete Question

When a new baby is born to the Johnsons, the family decides to invest $5000 in an account that earns 7% interest as a way to start the baby's college fund. If they do not touch that investment for 18 years, how much will there be in the college fund?

Answer: Neither (look at the image for the solution)

Step-by-step explanation:

Answer: parallel

Step-by-step explanation:

look at the lines and u can see two lines so parallel

The side x = 9.4 approximately to nearest tenth using the cosine rule.

In trigonometry, the cosines rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Considering the given triangle, side x is calculated with cosine rule as follows;

a² = b² + c² - 2(b)(c)cosA

x² = 8² + 15² - 2(8)(15)cos33°

x² = 64 + 225 - 240(0.8387)

x² = 289 - 201.2809

x² = 87.7191

x = 9.3658 {take square root of both sides}

With proper application of the cosine rule, we can conclude the value of the side x of the triangle is approximately 9.37 to the nearest tenth.

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The value of c in the given question is 77.5.

When something can be seen as a gauge of how important something is to a person or organization, it is frequently seen as a reflection of one's worldview and can help to shape attitudes, decisions, and behaviors. Value is a subjective concept that refers to the word of importance that an individual group of people places on something. It is frequently associated with fundamental beliefs and standards that are accepted by society. Depending on the context of the commands, believe is a relative concept.

The Triangle Angle Sum Theorem, which asserts that the sum of the angles in a triangle equals 180°, must be applied in order to find x. Segment AD cuts angle BAC in half, hence the two angles must be equivalent. In order to solve for x, we can build up the following equation:

180° = angle BAC = (x + 7) + (x + 18)

We can solve this equation by combining like terms and isolating the variable x.

180° = 2c + 25

2c = 155

C = 77.5

Therefore, the value of C is 77.5.

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The speed of both the trains would be 400 mph and 450 mph respectively.

The formula to calculate the distance travelled is -

Distance = Speed x Time

Given is that two cities are 1020 miles apart. Two trains simultaneously left these cities heading toward one another. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours, the trains had not met yet and were 170 miles apart.

Let the speed of one train be {x} mph. Then, the speed of the other train would be {x + 10} mph.

Distance covered by both the trains would be -

train { 1 } = 5x                             ... { 1 }

train { 2 } = 5(x + 10)                          ... { 2 }

Now, we can write -

1020 - {5x + 5(x + 10)} = 170

1020 - 170 = 10x + 50

10x = 800

x = 80

Speed of train { 1 } = 400 mph

Speed of train { 2 } = 450 mph

Therefore, the speed of both the trains would be 400 mph and 450 mph respectively.

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The mortgage loan amount on a home that sells is 207000$.

A down payment is the initial amount a buyer pays to purchase an expensive product or service. The down payment represents a portion of the total purchase price, and the buyer often takes out a loan for the rest.

The formula loan calculators use is I = P * r *T in layman's terms Interest equals the principal amount multiplied by your interest rate times the amount in years.

M = S − D where M is the mortgage loan amount, S is the selling price, and D is the down payment.

M = $230,000 -  $23,000

and  =   207000$

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Answer:

X=0

Y=4

Step-by-step explanation:

4X+2y-8=0

2y=4x+8

y=2x+4

Substituting y in the equation

4x+2(2x+4)-8=0

4x+4x+8-8=0

8x=0

X=0

Substituting in equation y=2x+4

y=2(0)+4

Y=4

None. There are no references in this line. This line does not contain any references, so no references can be null. Therefore, no NullPointerException can be thrown.

This line does not contain any references, so no references can be null. Therefore, no NullPointerException can be thrown.

This line of code does not contain any references at all. Therefore, it is not possible for any references to be null, and it is impossible for a NullPointerException to be thrown in response to this line. NullPointerExceptions are only thrown when a program attempts to use a reference that is null, but this line does not contain any references, so such an exception is not possible. Consequently, no references can be null in this line and no NullPointerException can be thrown.

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The expression "The product of m and n divided by three times their difference" can be written as (m * n) / (3 * (m - n)).

Let's break this down:

"The product of m and n" means you multiply m by n, which is written as "m * n".

"Divided by" means you divide the product by something else. In this case, we're dividing by "three times their difference".

"Their difference" refers to the difference between m and n, which is written as "m - n".

"Three times their difference" means you multiply the difference by 3, which is written as "3 * (m - n)".

So, putting it all together, we have:

(m * n) / (3 * (m - n))

This expression represents the product of m and n, divided by three times their difference.

It's important to note that this expression is undefined when m = n, because in that case, the denominator (3 * (m - n)) would be equal to zero. Division by zero is undefined, so we cannot evaluate the expression when m = n.

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Answer:

it will be £960

Step-by-step explanation:

first £800×20/100

simplify £8×20

£160= VAT

Total cost=VAT+ normal cost

£160+£800

=£960

Answer:

you took shorter time to complete by 2minutes

Step-by-step explanation:

30 minutes till 8.00 pm

plus

52 minutes

so

30+52=82 minutes

my homeworks

20 minutes till 9.00 pm

plus 1 hour or 60 minutes till 10.00 pm

20+60=80 minutes

80<82

so I took shorter time to complete the homework

Answer:

(y+2)^2

= y^2 + 4y + 4

now plug in -4 in y's

=(-4)^2 + 4(-4) + 4

=8-16+4

=-4

The angle between 0 and 2π  in radians which is Coterminal with angle 55π/8 in radians is 39π/8 radians .

We have to find coterminal angle between 0 and 2π in radians with an angle given in radians,

The angle is "55π/8"  in radians,

On simplifying ,

we get ;

⇒ 55π/8 = (55/8) × π

To find an angle coterminal with this angle between 0 and 2π, we  subtract or add multiples of 2π until we get an angle in range of 0 and 2π.

So , we convert 2π to same units as our angle :

⇒ 2π = 16π/8  ;

Next, we subtract the multiples of 16π/8 until we get an angle between 0 and 2π.

⇒ (55/8)π - 16π/8 = (55-16)π/8 = 39π/8  ;

This angle is between 0 and 2π, so it is coterminal with the angle 55π/8.

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The given question is incomplete , the  complete question is

The angle between 0 and 2π in radians that is coterminal with the angle 55π/8 in radians is  ?

Your commission for a month in which your sales people sold $1,250,000 in insurance policies is $62500

We know that in order to determine the percentage, we divide the value by the total value and then multiply the resultant by 100.

The formula for the percentage would be,

percent = (number of parts / total number of possible parts) × 100%

Here, for a particular month your sales people sold $1,250,000 in insurance policies.

As we can see that your commission would be 5% of all sales over $1,000,000

Let us assume that your commission for that month be x dollars.

Since 1,250,000 > 1,000,000

We need to find 5 percent of $1,250,000

i.e., x = 5 percent of $1,250,000

Using percentage formula,

x = 1,250,000 × (5/100)

x = 62500

Therefore, your commission will be 62500 dollars.

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The one word that fits in each case will be slope, equal, decreasing, and increasing, respectively.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A steep line has a bigger slope than a flat line.

Equally steep lines have equal slopes.

Lines that go up from left to right have decreasing slopes.

Lines that go down from left to right have increasing slopes.

The one word that fits in each case will be slope, equal, decreasing, and increasing, respectively.

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We can solve steps in expressions with many operations in accordance with the order of operations. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. The fourth rule is that we always add and subtract from left to right.

Use the acronyms PEMDAS or BODMAS to determine the sequence of operations. PEMDAS: Parentheses ⇒  (3+4)

Exponents ⇒ 3², Multiply ⇒ 8*4, Divide ⇒ 12÷4, Add ⇒ 6+6, Subtract ⇒ 10-5. BODMAS: Brackets, Order, Divide, Multiply, Add, Subtract .A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations. Using PEMDAS, we can retain the following order: Exponents, parentheses, addition, subtraction, multiplication, and division (from left to right) Parentheses, exponents, multiplication, division, addition, and subtraction are the orders in which operations must be performed, according to the order of operations. Both BODMAS and PEMDAS are valid and in use in various parts of the globe.

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Answer:

20.2%

Step-by-step explanation:

he relative difference between two values can be calculated using the formula:

Relative Difference = (|V1 - V2| / ((V1 + V2) / 2)) * 100%

where V1 is the first value and V2 is the second value.

For the U.S. per capita consumption of beef, we have V1 = 67.8 pounds in 2000 and V2 = 55.4 pounds in 2016. Plugging these values into the formula, we get:

Relative Difference = (|67.8 - 55.4| / ((67.8 + 55.4) / 2)) * 100%

Relative Difference = (12.4 / 61.6) * 100%

Relative Difference = 0.202 * 100%

Relative Difference = 20.2%

So the relative difference between the U.S. per capita consumption of beef in 2000 and 2016 is 20.2%.

Here is the completed table:

                     Movies    Theme park  Totals

Males              245                 379           624

Females          180                 196            376

Totals                425             575             1000

Total number of people that watch movies = totals - total number of people that go to theme parks

1000 - 575 = 425

Total number of males that watch movies = total number of people that watch movies - number of males that go to the theme park

425 - 180 = 245

Total number of males = Total number of males that watch movies + males that go to the theme park

 245 + 379 = 624

Total number of females = totals - total number of males

1000 - 624 = 376

Total number of females that go to theme parks = total number of females - total number of females that go to the theme park

376 - 180= 196

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Answer: it is already factored

Step-by-step explanation:

Answer:

y = 2x + 1

Step-by-step explanation:

Parallel lines have the same slope.  The slope in the equation y = 2x + 3  is 2.  The slope of the parallel equation will be 2 also.

We will use the slope, and the point (0,1) to help us write the new equation.

The y intercept of the parallel line is 1.  When x = 0, y is where the line will cross the y axis.  So the y intercept is 1

The slope (m) is 2 and the y-intercept (b) is 1.

y = mx + b  Substitute 2 for m and 1 for b.

y = 2x + 1

Both of these are correct. When multiplying 32 and 8, we should follow these steps:

So, the correct answer is 256.

Here is the multiplication shown step-by-step:

 32
   8

 16 --> drop down 6 and carry the 1

1
32
   8

   6

24-   --> drop down the 4 and add 1; carry the 2

 56

2

 32
    8

   6

 5 -

2 - - --> drop down the 2 since no more digits available to multiply

256 --> the answer

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