dave travels from champaign to chicago often for work. he usually flies from champaign to chicago to save time on busy days. depending on the weather in chicago, the flight might be delayed. suppose that there are 3 possible weather conditions in chicago: sunny, rain, and snow with the corresponding probabilies: 50%, 10%, and 40%. when it is sunny in chicago, the flight will be on time 80% of the time. but in bad weather conditions such as rain, the flight will be delayed 10% of the time. even worse, probability of flights being delayed is 40% when it is snowing in chicago. (assume that weather is the only factor determining whether a flight is on time or delayed.) what is probability a randomly selected flight from chicago to champaign is on time? you can express your answer as a fraction, decimal, or a percentage. if you asnwer in decimal, include at least 3 non-zero digits after the decimal point. if you answer is a percentage, make sure to include a % sign in your answer. symbolic expression if the flight is on time, what is the probability that it is snowing in chicago? you can express your answer as a fraction, decimal, or a percentage. if you asnwer in decimal, include at least 3 non-zero digits after the decimal point. if you answer is a percentage, make sure to include a % sign in your answer.

Answer:

last choice

Step-by-step explanation:

its multiplication

multiplication and division are opposites (fractoion is division)

Answer:

Yes, the ratios are equivalent.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

First off, the slope of f(x) is -4.  It is in the form y=mx+b and m=-4.

For g(x), the slope can be calculated from any two points given.  I willuse (1,9) and (3,21) because I like positive numbers.  So, slope is rise over run and it is calculated from (y1-y0)/(x1-x0)  This gives me (21-9)/(3-1) which is equal to 6.  So adding the two slopes: 6+ (-4)=2

Answer:

(1,-1)

Step-by-step explanation:

-2x-1 = x+2

-3x = 3

x = -1

substitute

y = (-1) + 2

y = 1

point: (1,-1)

The probability of finding oil (to 1 decimal) is 0.7.

Probability is a statistic that is used to show the possibility or chance that a certain event will occur. Probabilities can be expressed as fractions from 0 to 1, in contrast to percentages from 0% to 100%. The four main types of probability that mathematicians study are axiomatic, classic, empirical, and subjective. Given that the terms potential and probability are interchangeable, you could define probability as the probability that a particular event will take place.

To determine probability the  Preliminary geologic  , we obtain,

P(oil)=0.3+0.4

P(oil)=0.7.

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The probability that abby, barry, and sylvia win the 1st, 2nd, 3rd prizes resprctively, in a drawing of 200 people in contest that no one win the prize is equals to 0.0000001269.

Total number of people present= 200

so, total possible outcomes= 200

We have to determine the probability that abby, barry, and sylvia win the 1st, 2nd, 3rd prizes resprctively.

The number of favourable outcomes for winning first prize = 1

So, probability that abby win the first prize = \(\frac{1}{200} \)

The number of favourable outcomes for winning second prize = 1

So, probability that barry win the second prize = \(\frac{1}{199} \)

The number of favourable outcomes for winning third prize = 1

So, probability that sylvia win the third prize = \(\frac{1}{198} \)

Now, total probability that no one can win more than one prize = \(\frac{1}{200} × \frac{1}{199} × \frac{1}{198} \)

= 0.0000001269

Hence, required probability value is 0.0000001269.

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Complete question :

what is the probability that abby, barry, and sylvia win the 1st, 2nd, 3rd prizes resprctively, in a drawing of 200 people enter the contest no one can win more than one prize.

The number is 320 and 80 % of the number is 256

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the equation A is

65% of a number is 208 and 15% of the same number is 48

So , 65% of n = 208   be equation (1)

15% of n = 48   be equation (2)

Now , on simplifying the equations , we get

( 15 / 100 ) x n = 48

15n/100 = 48

Multiply both sides by 100 . we get

15n = 4800

Divide by 15 on both sides of the equation , we get

n = 320

The number n can also be determined by

( 65% - 15% ) of n = 208 - 58

50 % of n = 160

So , 100 % on n = 160 x 2

n = 320

Therefore , the number n is 320

Now , the 80 % of the number n is A = 80/100 x 320

A = 320 x 0.8

A = 256

Therefore , the value of A is 256

Hence , The number is 320 and 80 % of the number is 256

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The intersection (s1 ∩ s2) of the sets s1 and s2 is {2, 5}

The intersection of two sets consists of the elements that are common to both sets. In this case, we need to find the elements that appear in both s1 and s2. To compute the intersection, we compare the elements of the sets and identify the common elements.

The intersection of s1 and s2, denoted as s1 ∩ s2, is the set containing the elements that are present in both s1 and s2. In this case, the intersection of s1 and s2 is {2, 5} since these elements appear in both sets.

It's worth noting that the set u = {1 : 10} mentioned in the question does not play a direct role in computing the intersection of s1 and s2. Set u seems to represent a universal set containing all numbers from 1 to 10, but it is not used in this specific computation.

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The Angle e = Angle a, as they are alternate angles,

Angle f = Angle c, as they are alternate angles,

Angles a, b, and c add up to 180° as they are on a straight line.

Therefore, angles e, f, and b also add up to 180°.

A transversal is a line that, at two different locations in the geometry, cuts through two lines in the same plane. Various sorts of angles in pairs, including successive internal angles, corresponding angles, and alternate angles, are produced by a transversal intersection with two lines.

Given two lines are parallel and intersect by two transversal and they form a triangle between the lines,

from the diagram alternate angles are,

∠e and ∠a

∠f and ∠c

so ∠e = ∠a and ∠f = ∠c because they are alternate angles,

a straight line makes an angle of 180°

so the sum of Angles a, b, and c are 180°.

and the sum of the angles of a triangle is 180°

the sum of angles e, f, and b is equal to 180°.

Hence ∠e = ∠a and ∠f = ∠c,

the sum of Angles a, b, and c are 180°,

the sum of angles e, f, and b is equal to 180°.

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the probability they will not have type O blood is 0.56 or 56%. Hence, the correct option is a) 0.56.

In the United States, 44% of the population has type O blood, 42% has type A, 10% has type B, and 4% has type AB. Consider choosing someone at random and determining the person's blood type. What is the probability they will not have type O blood?In the United States, 44% of the population has type O blood, 42% has type A, 10% has type B, and 4% has type AB. So the probability of choosing a random person with type O blood would be 44/100 = 0.44. Since the probability of choosing a random person with type O blood is 0.44, the probability of choosing someone who does not have type O blood is:1 - 0.44 = 0.56.The probability of choosing someone who does not have type O blood is 0.56 or 56%.So, the probability they will not have type O blood is 0.56 or 56%. Hence, the correct option is a) 0.56.

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Answer: 45 / 40 ft

Step-by-step explanation:

Given that She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?

Actual width of shorter side = 45 ft

New width of shorter side = 40 ft

Scale factor is the ratio of the actual length to the new or intended length

Scale factor = Actual width / New width

Hence, scale factor :

45 ft / 40 ft

Answer:

perimeter=40in

area=120.71

Step-by-step explanation:perimeter= 5inches*number of sides

5*8=40in

Step-by-step explanation:

(0.5-2)-1 = -1.5 - 1

= -2

(3+4) -2 = 7 - 2

= 5

(-8+5)+3 = -3+3

= 0

-(0.5-2)+1 = -(-1.5)+1

= +1.5 + 1

= 2.5

-(3+4)+2 = -(7) +2

= -5

-(-8-5) -3 = -(-13) -3

= +13 -3

= 10

The average rate change of over the interval [-1,1] is 2.

What is an interval?

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific numbers are referred to as an interval. All actual numbers between those two are included in this range.

Given points on the graph is

x   -2     -1     0     1        

y   -4     -3     -1     3

The average rate of change of a function is defined by the expression over the interval a ≤ x ≤ b,

Average rate of change = [f(b) - f(a)]/(b - a)

Here a = -1, b = 1, f(a) = -3, and f(b) = 3

The average rate is (3 - (-3))/ (1 - (-1)) = 2

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Answer:

water: sucrose: saline solution: 100:15:60

Step-by-step explanation:

water 1L = 1000ml

sucrose 150ml

saline solution 600ml

so, water: sucrose: saline solution = 1000L: 150L: 600L

1000:150:600

100:15:60

the proportion

If there are n men and n women in the group, we can first arrange the men and women separately in alternate positions. We can treat the men as a single group and arrange them in n! ways, and similarly, we can treat the women as a single group and arrange them in n! ways.

Next, we need to arrange the two groups (men and women) in alternate positions to satisfy the given condition. Since we need to place the youngest person (who could be a man or a woman) at the beginning of the row, we have two cases:

Case 1: The youngest person is a man

In this case, the men must start the arrangement, followed by the women. Since there are n men and n women, there are n! ways to arrange the men and n! ways to arrange the women. We can fix the youngest man at the beginning of the row, so there are (n-1)! ways to arrange the remaining n-1 men. Similarly, there are (n-1)! ways to arrange the n-1 women. Therefore, the total number of arrangements in this case is:

n! * n! * (n-1)! * (n-1)!

Case 2: The youngest person is a woman

In this case, the women must start the arrangement, followed by the men. Since there are n women and n men, there are n! ways to arrange the women and n! ways to arrange the men. We can fix the youngest woman at the beginning of the row, so there are (n-1)! ways to arrange the remaining n-1 women. Similarly, there are (n-1)! ways to arrange the n-1 men. Therefore, the total number of arrangements in this case is:

n! * n! * (n-1)! * (n-1)!

To get the total number of arrangements that satisfy the given condition, we need to add the number of arrangements in Case 1 and Case 2:

n! * n! * (n-1)! * (n-1)! + n! * n! * (n-1)! * (n-1)!

= 2 * n! * n! * (n-1)! * (n-1)!

= 2 * (n!)^2 * (n-1)!

Therefore, the total number of ways to arrange the people in a row with alternating men and women, starting with the youngest person, is 2 * (n!)^2 * (n-1)!.

The image with original and dilated values CP = 42 and CP' = 12 has the scale factor of option B: 2/7 ; reduction.

What is dilation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial shape should be stretched or contracted during a dilatation.

The measurement of the original image is CP = 42

The measurement of the dilated image is CP' = 12

Let the unknown scale factor od dilation be x.

Then the equation for dilation will be -

Dilated image = original image × scale factor

Substitute the values into the equation -

CP' = CP × x

12 = 42x

x = 12/42

x = 2/7

Therefore, the image is dilated by a scale factor of 2/7.

Since, the size of the original image is greater than the size of dilated image, the dilation is a reduction.

Therefore, the dilation is a reduction.

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Answer: If you meant:  \(\sqrt{x5}\)

The new man's age would be 525, however the standard deviation would remain the same.

The Standard Deviation measures how evenly distributed numbers are. It has the sign (a Greek letter sigma) and the calculation is simple: it's the variance as a square root.

The average national test score is 500, for a standard deviation = 100.

Each score has been boosted by 25 points.

Let y = x + 25

where x is the old mean & y is the new score

E(x) = 500  and standard deviation (x) = 100 (given)

E(y) = E(x + 25)

     = E(x) + 25

     = 500 + 25

     = 525

Variable (y) = Variable (x + 25)

                  = Variable (x)

As, √variance y = √variance x

standard deviation(y) = standard deviation(x)

                                   = 100

Therefore, the new standard deviation is same as the old one.

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Check the picture below.

so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.

\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)

Answer:

7x^2 + 8x-7

7×4^2 + 8×4-7

7×16+32-7

112+25

137

The number of integers between two given integers is 124.

The two given integers are 48 and 172.

We know that, number of integers between two integers = Difference of two integers

Here, number of integers = 172-48

= 124

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(a) The homogeneous solution is \(y_h=C_1e^x+C_2e^{2x}+C_3e^{-2x}.\)

(b) The general solution of the given differential equation is \(C1e^x + C2e^{2x} + C3e^{-2x} + (1/4)e^x.\)

The ordinary differential equation is y'''−2y''+6y'−4y=e2x.

Let's solve this step by step.

(a) The general solution of the corresponding homogeneous equation is given by

y'''+(-2)y''+6y'-4y=0

We can use the fact that y = e3x is a particular solution of the associated homogeneous equation.

So, the homogeneous solution is

\(y_h=C_1e^x+C_2e^{2x}+C_3e^{-2x}\)

where C1, C2, and C3 are constants.

(b) Let's use the method of undetermined coefficients to determine the general solution of equation (1).The characteristic equation is given as

r³ - 2r² + 6r - 4 = 0

On solving, we get

(r - 2)² (r - (-1)) = 0

⇒ r = 2, 2, -1

Thus, the general solution is given by

\(y(x) = y_h + y_p\)

where y_h is the solution to the homogeneous equation and y_p is the particular solution to the given equation.

For y_p, let's use the method of undetermined coefficients and assume the particular solution to be of the form

\(y_p = Aex\)

On substituting this in the given equation, we get

\(4Ae^x = e^(2x)\)

Thus, A = 1/4 and the particular solution is

\(y_p = (1/4)e^x\)

Finally, the general solution is

\(y(x) = y_h + y_p\)

\(= C_1e^x + C_2e^{2x} + C_3e^{-2x} + (1/4)e^x\)

Hence, the general solution of the given differential equation is

\(C1e^x + C2e^{2x} + C3e^{-2x} + (1/4)e^x,\)

where C1, C2, and C3 are constants.

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The theoretical probability of drawing a blue marble from a jar containing 21 brown and 19 blue marbles is 19/40, or 0.475.

To calculate this, divide the number of blue marbles by the total number of marbles in the jar. 19 divided by 40 equals 0.475, or 19/40. This means that there is a 47.5% chance of drawing a blue marble from the jar.

The probability of drawing a specific marble from the jar can be expressed using the formula P(A) = n(A)/n(T).

In this example, the probability P(A) is the chance of drawing a blue marble, n(A) is the number of blue marbles (19) and n(T) is the total number of marbles in the jar (40). Therefore, P(A) = 19/40 = 0.475.

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The statements that are true if the variables given, represent the periods of salaries, include:

]

If y represents the yearly salary then that means that in relation to the biweekly salary, this can be found as :

Biweekly salary = Annual salary / 26 biannual periods

b = y / 26

If y is the yearly salary, it can be found by:

= Number of weeks in year x Weekly salary

= 52 w

y, being the yearly salary, would also be found as:

= Monthly salary x number of months in year

= 12m

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Options for this question include :

b = y/26

y = m/12

y = 52w

12m =y

26y = b

Answer:

Haircut : $20

Tip (15%) : $3

=> $20+$3= $23

Step-by-step explanation:

The probability that their hospital stay is greater than 6 days is equal to 0.67724 and the probability that their hospital stay is from 5 to 6 days is equal to 0.108

Mean (μ) = 7.37

Standard deviation (σ) = 3

we need to calculate probability that their hospital stay is from 5 to 6 days i.e.

⇒ P(5 < X < 6) = P(X < 6)-P(X < 5)

Here we will use standard normal distribution where,

Z-score = (X -μ )/ σ = (6 - 7.37)/3 = -0.46

Z-score = (5 - 7.37)/3 = -0.79

from Z table we found p-value

⇒P(5<X<6) = P(X<6) - P(X<5) = 0.32276 - 0.21476 = 0.108

So there is 0.108 probability that their hospital stay is from 5 to 6 days.

we need to calculate probability that their hospital stay is greater than 6 days i.e.

We get: P(X > 6) = 1 − P(X < 6)

Here we will use standard normal distribution where,

Z-score = (X - μ)/σ = (6 - 7.37)/3 = -0.46

from Z table we found p-value

P(X > 6) = 1 - P(X<6) = 1 - 0.32276 = 0.67724

So there is 0.67724 probability that their hospital stay is greater than 6 days.

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The linear programming model for this problem is Max 1000F + 1000T

Given that,

If the quantity of flip top pens to be produced is f and the quantity of tiptop pens to be produced is t, then

Number of lots of Flip top pens to produce = F

Number of lots of Tip top pens to produce = T

Therefore, The linear programming formulation is given by:

Max 1000F + 1000T

s.t.

Plastic: 3F + 4T <= 39

Ink Assembly:  5F + 4T <= 45

Molding time: 5F + 2T <= 37

F, P >= 0

Hence, the linear programming model for this problem is Max 1000F + 1000P

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The first ten terms of the sequence a_n = 2/n are: 2, 1, 0.66, 0.5, 0.4, 0.33, 0.28, 0.25, 0.22, 0.2. The 9th term of the sequence is 0.22 and the 10th term is 0.2.

Using a graphing calculator to find the first ten terms of the sequence a_n = 2/n

To find the first ten terms of the sequence a_n = 2/n, follow the steps given below:

Step 1: Press the ON button on the graphing calculator.

Step 2: Press the STAT button on the graphing calculator.

Step 3: Press the ENTER button twice to activate the L1 list.

Step 4: Press the MODE button on the graphing calculator.

Step 5: Arrow down to the SEQ section and press ENTER.

Step 6: Enter 2/n in the formula space.

Step 7: Arrow down to the SEQ Mode and press ENTER.

Step 8: Set the INCREMENT to 1 and press ENTER.

Step 9: Go to the 10th term, and the 9th term on the list and write them down.

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