6. Suppose you are going to draw two cards from a standard deck without replacement. What is the probability that the first card is a Jack and the second card is an even card?

Answer:

$1584

Step-by-step explanation:

2.2% of 72,000 is 1584, therefore that is the rent

The total number of visitors to the zoo that day=3980.

Given:

cost of each ticket for an adult=$25

cost of each ticket for an adult=$10

Total ticket sales one day=$47,750.

⇒$25+$10=47,750

⇒25+10=47,750-----(1)

Also,

c=6a+270

6a-c=-270------(2)

multiplying eq(2) with 10 we get:

60a-10c=-2700----(3)

Adding eq(1) and eq(3) we get

25a+10c=47,750

60a-10c=-2700

--------------------------

85a=45050

--------------------

To calculate a value just divide 45050 by 85 we get

a=45050/85

a=530

Now to get the value of c substitutes a value.

c=60(530)+270

c=3450

Number of Adult visitors=530

Number of children visitors=3450

Total Number of visitors=3980.

Therefore, the total number of visitors to the zoo that day=3980.

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Answer:

Jalil used 5/8 more cups of water than sugar

Step-by-step explanation:

The correct option is b which tells that an optimal solution to a linear programming problem must lie at the intersection of at least two constraints.

Linear programming is an optimization technique that is fine for the purpose of getting the best solution such as maximizing profit or certain 4th-era quantities.

When there are just two choice variables, the graphic method of solving a linear programming issue can be employed.

It is fine by modelling real-life problems into mathematical models that have linear relationships or constraints such as in the form of objective functions.

In linear programming, an objective function defines the formula for quantity optimization and the goal from this is to determine variable values that maximize or minimize the objective function depending on the problem robbery solved.

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Let's begin by identifying key information given to us:

Answer:

53.2$

Step-by-step explanation:

5/100 × 56 = 2.8

So, 56.00 $ - 2.8$ = 53.2$

Answer:

51? 40 something i dont know

Step-by-step explanation:

Nobody knows that sadly but try cheating this is hard

Answer: $1.25 Per Roll

Step-by-step explanation:

(14,17.50) and (16,20)

No, it is not an exponential function.

Answer:

a rotation of 45° , this could be it

Answer:

g(0) = 1

Step-by-step explanation:

Plug 0 into the function:

g(x) = -2x² + 1

g(0) = -2(0)² + 1

g(0) = -2(0) + 1

g(0) = 0 + 1

g(0) = 1

Answer:

56.52km

Step-by-step explanation:

Circumference = π X D (D = diameter = 2 X radius)

= (3.14) X 18

= 56.52 km

Answer:

17

Step-by-step explanation:

To calculate the total maximum horizontal stress (Shmax) in a subsurface system with reverse faulting, we can use the formula:

Shmax = P / A

where P is the pressure at the given depth and A is the stress ratio. Given: Depth = 2,000 ft, A = 0.8, Friction angle (φ) = 30°

First, we need to calculate the vertical stress (σv) at the given depth using the equation:

σv = ρ g  h

where ρ is the unit weight of the overlying rock, g is the acceleration due to gravity, and h is the depth.

Next, we can calculate the effective stress (σ') using the equation:

σ' = σv - Pp

where Pp is the pore pressure.

Assuming the pore pressure is negligible, σ' is approximately equal to σv.

Finally, we can calculate Shmax using the formula:

Shmax = σ' * (1 + sin φ) / (1 - sin φ)

Substituting the given values into the equations, we can calculate Shmax. However, the unit weight of the rock and the value of g are required to complete the calculation.

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Answer:

up

Step-by-step explanation:

a is positive

31, 87, 90 are the numbers which are considered possible outliers.

An outlier is an observation or data point that is significantly different from other observations in a dataset. In other words, it is an unusual or extreme value that is much higher or lower than most other values in the data.

A box and whisker plot is used to easily detect outliers. In this figure, the outliers are shown as black circles or dots. These are the data points that are distant from other observations.

Therefore, the numbers which are considered possible outliers are 31, 87, and 90.

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A green flag indicates that it is time to begin or end. A blue flag indicates that a faster car may pass. Yellow flags indicate extreme caution! The vehicle should slow down. Drivers should return to their pits when they see a black flag.

Signals the end of the race, regardless of where the cars are on the track. A black flag instructs a driver to proceed to the pits on the following lap and consult with race officials. a flag with a black and white square pattern used to indicate that a car has crossed the finish line and completed its race This signal indicates the winner or the first car to cross the finish line. The black flag indicates that a driver must proceed directly to the pits, and that driver's race is over.

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Answer: kenna needs 3 for one flag and 15 for all five

Step-by-step explanation:

plato/edmentum :)

Answer:

Step-by-step explanation:

I think it is the third one.

You cannot have an x squared or cubed because then it would have a repeating x value which would not represent a linear function.

the answer is y=-4+5

I hope this helps and is correct

The age of the spill at this site using (a) BTEX ratio is 10 years  b) nC17:Pr ratio is 12 years.

(a) BTEX ratio

The BTEX ratio is the ratio of the concentrations of benzene, toluene, ethylbenzene, and xylene (BTEX). The BTEX ratio is typically used to estimate the age of a petroleum spill because the BTEX compounds are relatively volatile and degrade over time.

The BTEX ratio for the spill at this site is 158 / (124 + 91 + 45) = 1.56.

The BTEX ratio for a fresh petroleum spill is typically around 2.0. As the spill ages, the BTEX compounds degrade and the BTEX ratio decreases.

Based on the BTEX ratio for the spill at this site, we can estimate that the spill is about 10 years old.

(b) nC17:Pr ratio

The nC17:Pr ratio is the ratio of the concentrations of n-heptadecane (nC17) to pristane (Pr). The nC17:Pr ratio is also used to estimate the age of a petroleum spill because nC17 is more susceptible to degradation than Pr.

The nC17:Pr ratio for the spill at this site is 161 / 84 = 1.91.

The nC17:Pr ratio for a fresh petroleum spill is typically around 2.5. As the spill ages, the nC17:Pr ratio decreases.

Based on the nC17:Pr ratio for the spill at this site, we can estimate that the spill is about 12 years old.

Conclusion

The age of the spill at this site is estimated to be between 10 and 12 years based on the BTEX ratio and nC17:Pr ratio. The exact age of the spill cannot be determined with certainty, but these two ratios provide a good estimate.

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Answer:

5.49 pounds

Step-by-step explanation:

Given data

Amir bought 3 2/3 pounds of rice= 11/3 pounds= 3.66 pounds

Owen bought 1 1/2 times  or 1.5 times as much as Amir bought

Hence 1.5 time of 3.66

=1.5*3.66

=5.49 pounds in decimal

(a) Your parents would have to save approximately $7,181.75 each year to reach their goal of $140,000 by your 18th birthday.

(b) Your parents would have to save approximately $9,022.19 each year to reach their new goal of $180,000.

To determine how much your parents would have to save each year to reach their goal of $140,000 by your 18th birthday, we can use the future value of an ordinary annuity formula.

a. The formula to calculate the required annual savings is:

PV = Annual Savings × [(1 + r)ⁿ - 1] / r

Where:

PV = Present Value (goal amount)

r = Interest rate per period

n = Number of periods (number of years)

Given that PV = $140,000, r = 5% (or 0.05), and n = 17 (18 - 1), we can plug these values into the formula:

$140,000 = Annual Savings × [(1 + 0.05)¹⁷ - 1] / 0.05

Solving for Annual Savings:

Annual Savings = $140,000 × 0.05 / [(1 + 0.05)¹⁷ - 1]

= $140,000 × 0.05 / 0.97769

≈ $7,181.75

Therefore, your parents would have to save approximately $7,181.75 each year to reach their goal of $140,000 by your 18th birthday.

b. If your parents decide to have $180,000 saved in case you take five years to graduate, we can use the same formula with a new goal amount of $180,000.

$180,000 = Annual Savings × [(1 + 0.05)¹⁷ - 1] / 0.05

Solving for Annual Savings:

Annual Savings = $180,000 × 0.05 / [(1 + 0.05)¹⁷ - 1]

= $180,000 × 0.05 / 0.97769

≈ $9,022.19

Therefore, your parents would have to save approximately $9,022.19 each year to reach their new goal of $180,000.

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The point (12, 190) means that the temperature after 12 hours is 190 degrees Celsius

To do this, we make use of the following points

(12, 190), (14, 201), (15, 301), (16, 305), (18, 350), (20, 40), (25, 450)

Where x represents the number of hours and y represents temperature

See attachment for the scatter plot.

To do this, we make use of the point (12, 190)

This means that the temperature after 12 hours is 190 degrees Celsius

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The equation for the line in point-(1, 1) is y = -0.5x + 0.5.

Given that the slope of the line below is -0.5. We are to enter the equation for the line in point-(1, 1).The equation for the slope-intercept form of the line is y = mx + c where m is the slope and c is the y-intercept.

Now, the slope of the line is given as -0.5.Therefore, the equation for the slope-intercept form of the line is y = -0.5x + c. Now we need to find the value of c for the equation of the line.

To find the value of c, substitute the values of x and y in the equation of the slope-intercept form of the line.

Given that the point is (-1,1), x=-1 and y=1y = -0.5x + c⇒ 1 = (-0.5) (-1) + c⇒ 1 = 0.5 + c⇒ c = 1 - 0.5⇒ c = 0.5

Therefore, the equation for the line in point-(1, 1) is y = -0.5x + 0.5.The slope of a line refers to how steep the line is and is used to describe its direction. Slope is defined as the vertical change between two points divided by the horizontal change between them.A positive slope moves up and to the right, while a negative slope moves down and to the right. If a line has a slope of zero, it is said to be a horizontal line.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept, or the point at which the line crosses the y-axis. To find the equation of a line with a given slope and a point, we can use the point-slope form of a linear equation.

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The Kruskal-wallis one-way ANOVA compares the overall difference between two or more independent samples. So, the correct option is option a. kruskal-wallis one-way ANOVA

The answer is option A, the Kruskal-Wallis one-way ANOVA compares the overall difference between two or more independent samples.

The Sign test and Wilcoxon rank test are non-parametric tests used for comparing paired samples, while the Mann-Whitney U test is used for comparing two independent samples.

This test is used to compare the overall difference between two or more independent samples when the assumptions of a regular one-way ANOVA are not met.

The Kruskal-Wallis test is applicable when the data violate the assumptions of normality and/or equal variances required by parametric ANOVA tests.

Instead of comparing means, it compares the ranks of the data values within each group to assess if there are significant differences between the groups.

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Answer:

30 palindromes!!!!!!!

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

zero cannot be the first digit of the palindromes. There are nine other numbers that can be.

9 * 10

The last digit also cannot be zero so it has the same value as the first digit. (Otherwise the number cannot be palindromic) So you are really looking at only 90 numbers total.

That's not the question, but it does put a limit on how many there can be.

Let's find the first number (closest to 100 ) that is palindromic and divisible by 3.

I think 111 is the smallest.

Now what about the largest? That would be 999.

So what is the next number after 111? Wouldn't that be 141?

The difference between 111 and 141 is 30

It turns out that any first digit that is divisible by 3, has 4 palindromic numbers because for them, the second digit is a 0. So for 3 for example, you get

303

333

363

393

All the other numbers only have 3 entries for example, 1 gives you

111

141

171

So making a table we get

First digit                          Number of palindromes divisible by 3

1                                        3

2                                       3

3                                                   4

4                                       3

5                                       3

6                                                   4

7                                       3

8                                       3                                            

9                                                   4

                                       18         12

Total                                

It could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

The most accurate interpretation of the given confidence interval is as follows:

We are 95% confident that the true difference in mean wait time between Facility A and Facility B falls within the range of 0.32 minutes to 1.47 minutes.

This means that if we were to repeat the study multiple times and calculate a new confidence interval each time, we would expect that approximately 95% of those intervals would contain the true difference in mean wait time between the two facilities.

Furthermore, based on the observed data and the calculated confidence interval, we can conclude that the difference in mean wait time between Facility A and Facility B is likely to be positive, with Facility B having a higher mean wait time than Facility A. However, we cannot say with certainty that the true difference is exactly within this specific range; it could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

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Answer: pretty sure its c

Step-by-step explanation: i might be wrong

Answer:

Multiplication property of Equality

Answer:

This is the associative property of addition, which states that you can add or multiply regardless of how the numbers are grouped.

Fuel consumption determines the number of gallons of fuel needed to travel a certain distance. To travel 2625 miles, the tank must be filled 75 / 15 = 5 times.

To solve the given problem, we need to make use of the concept of fuel consumption. This concept determines the number of gallons of fuel needed to travel a certain distance. Hence, let's first calculate the car's fuel consumption to travel one mile.

Step 1: Fuel consumption to travel one mile The car gives 35 miles per gallon. Hence, fuel consumption to travel one mile = 1 / 35 gallon = 0.0286 gallons

Step 2: Number of times the tank must be filled To travel 2625 miles, the total fuel required = 0.0286 x 2625 = 75 gallons Given, the tank capacity = 15 gallons Hence, the tank must be filled 75 / 15 = 5 times to travel 2625 miles.

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