3. If I get a 2/3 on an exit ticket. What is that grade out of 5?*

R follows a geometric distribution with parameter p, the probability of either aaron or baron getting heads in a given round.

The number of rounds r follows a geometric distribution with parameter p, the probability of either aaron or baron getting heads in a given round. This is because the probability of r rounds occurring before either aaron or baron gets heads is equal to p^r, where p is the probability of either one of them getting heads in a given round. The probability of a tie is equal to p^2.

The geometric distribution is a discrete probability distribution that models the number of successes that occur in a sequence of independent Bernoulli trials before a specified (non-random) number of failures occur. The geometric distribution is the only discrete memoryless probability distribution, meaning that the probability of success in the next trial is independent of the previous outcomes. In the case of aaron and baron's coin game, the geometric distribution can be used to model the number of rounds that will occur before either aaron or baron gets heads. The probability of a given number of rounds occurring before either aaron or baron gets heads is equal to p^r, where p is the probability of either one of them getting heads in a given round. The probability of a tie is equal to p^2. Therefore, the number of rounds r follows a geometric distribution with parameter p.

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Complete question :

Cheddar Cheese

$3/lb

Swiss Cheese

$5/lb

Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Answer:

10 lbs of cheddar cheese

6 lbs of Swiss cheese

$3a + $5b = $30

Step-by-step explanation:

Given that :

Cheddar cheese = $3/lb

Swiss cheese = $5/lb

Total amount budgeted for cheese = $30

How many pounds of cheese can Keisha get if she buys only Cheddar cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of cheddar cheese

$30 / 3 = 10 pounds of cheedar cheese

Only Swiss cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of Swiss cheese

$30 / 5 = 6 pounds of Swiss cheese

A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Let amount of cheddar cheese she can get = a

Let amount of Swiss cheese she can get = b

Hence,

(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount

(3 * a) + (5 * b) = $30

$3a + $5b = $30

Answer:

Step-by-step explanation:

f(n)= -3n + 2

to find :f(12)

substitute 12 in place of n

f(12)= -3*12 + 2

f(12)=-36 + 2

f(12)= -34

The value of the  f(12) is equal to -46 where the expression is

f(n) = -3n + 2.

Any mathematical statement which consist of numbers , variables and arithmetic operations is known as expression. An expression gives some numerical value when we put the value of variables in it.

Here, f(n)= -3n + 2 is the given expression.

So, we can find the value of f(12) by putting n=12 in f(n).

Put n=12 in f(n), we get

          f(12)= (-3)×12 + 2

                 = -48 + 2

                 = -46

Hence, the value of f(12) is -46.

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Answer:

the measure of ∠1 is 92 degrees

Step-by-step explanation:

The given piecewise-defined function is:

It is required to graph the function.

To do this, graph each piece with respect to the corresponding domain.

Graph g(x)=2 over x<-1:

Notice that an open circle is at x=-1 since it is not included in the interval x<-1.

Graph g(x)=3 for x=-1. This is just a point:

Finally, graph g(x)=-1 for x>-1:

There is an open circle at x=-1 since it is not included in the interval x>-1.

Thus, the required graph of the piecewise-defined function is shown below:

Peter is 19 years old and Sylvia is 9 years old now.

Let's use algebra to solve this problem.

Let's assume Peter's current age is P, and Sylvia's current age is S.

We can create two equations based on the information given:

Four years ago, Peter was three times as old as Sylvia:

P - 4 = 3(S - 4)

In 5 years, the sum of their ages will be 38:

(P + 5) + (S + 5) = 38

Now we can solve for P and S.

P - 4 = 3(S - 4)

P - 4 = 3S - 12

P = 3S - 8

(P + 5) + (S + 5) = 38

P + S + 10 = 38

P + S = 28

Now we can substitute P = 3S - 8 from the first equation into the second equation:

3S - 8 + S = 28

4S = 36

S = 9

So Sylvia's current age is 9.

We can use P + S = 28 from the second equation to find Peter's current age:

P + 9 = 28

P = 19

Therefore, Peter's current age is 19.

So currently Peter is 19 years old and Sylvia is 9 years old.

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Answer:

$5.80

Step-by-step explanation:

The 12 members spent $48 in total and the 8 nonmembers spent 68 in total. If you add those two together and divide by 20 you get 5.8.

Answer: B

Step-by-step explanation:

because there are 12 members and 8 nonmembers so

12 × 4= 48 8 × 8.50= 68 68+48 =116 116 ÷ 20 =5.8 or $5.80

All the terms are variable name and the level of measurment are            A. Age- Ratio, B. Military dictatorship - Nominal, C. Strongly oppose - Ordinal, D. Election year - Interval, E. 62 percent - Ratio, F. Asian - Nominal, G. Class rank - Ordinal, H. Commute distance - Ratio.

A. Age - (i) Variable name (ii) Ratio
B. Military dictatorship - (i) Variable name (ii) Nominal
C. Strongly oppose - (i) Variable value (ii) Ordinal
D. Election year - (i) Variable name (ii) Interval
E. 62 percent - (i) Variable value (ii) Ratio
F. Asian - (i) Variable value (ii) Nominal
G. Class rank - (i) Variable name (ii) Ordinal
H. Commute distance - (i) Variable name (ii) Ratio

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Answer:

y<13/2

Step-by-step explanation:

5y+4<3y+17

5y-3y<17-4

2y<13

y<13/2

Answer:

y < \(\frac{13}{2}\)

Step-by-step explanation:

Given

5y + 4 < 3y + 17 ( subtract 3y from both sides )

2y + 4 < 17 ( subtract 4 from both sides )

2y < 13 ( divide both sides by 2 )

y < \(\frac{13}{2}\)

Juan is 13 years old.

Andrés is 34 years old.

We have,

Let's assume that Juan's age is x.

Then, we know that Andrés' age is x + 21.

We also know that the sum of their ages is 47:

x + (x + 21) = 47

Simplifying the equation:

2x + 21 = 47

Subtracting 21 from both sides:

2x = 26

Dividing by 2:

x = 13

So Juan is 13 years old.

To find Andrés' age, we can substitute Juan's age into the equation we used earlier:

x + 21 = 13 + 21 = 34

Thus,

Juan is 13 years old.

Andrés is 34 years old.

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The complete question.

Juan is 21 years younger than Andrés and we know that the sum of their ages is 47. How old is each of them?

False, if an overall F-test in an ANOVA model is significant, it is important to conduct follow-up comparisons to test for differences between pairs of means.

When the overall F-test in an ANOVA model is found to be significant, it indicates that there is evidence of at least one significant difference among the group means. However, it does not provide specific information about which particular group means are different from each other. Therefore, follow-up comparisons, such as post hoc tests or pairwise comparisons, are necessary to determine the specific pairs of means that are significantly different.

These follow-up comparisons allow for a more detailed understanding of the group differences and help identify which specific groups are driving the significant overall F-test result. By conducting these additional tests, researchers can gain insights into the specific pairwise differences and make more accurate and informed interpretations of their data.

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A 2.5-foot-radius sand mandala's surface area is 19.63 square feet.

A Tibetan Buddhist practise known as "sand mandala" involves building and tearing down mandalas composed of different coloured sand. The ritualistic breakdown of the sand mandala is followed by ceremonies and viewing when it is finished to represent Buddhism's doctrine on the fleeting nature of material life.

Here is how to calculate a circle's area:

Circle area is equal to  πr² (where r is the radius of the circle)

We can use the radius value that has been provided to solve for the area using the following formula:

The sand mandala's size is πr²= π(2.5)²= π(6.25)= 19.63 square feet.

Hence, the sand mandala has a 19.63 square foot surface area.

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Answer:

y = -7x+3

Step-by-step explanation:

We can write the function as

y = (3-x) / 7

To find the inverse of this function we have to do 2 things

a. change x with y and y with x  and

b. find the y

a. y = (3-x) / 7, change x with y and y with x  

   x = (3-y) / 7, multiply both sides by 7

b.     7x = 3-y, subtract 3 from both sides

      7x-3 = -y, multiply both sides by -1

      -7x+3 = y

The inverse function of

f(x) = (3-x)/7  is \(f^{-1} (x) = -7x + 3\)

Answer:

whats up

Step-by-step explanation:

A vertical line drawn through a normal distribution at z = –0.75 will separate the distribution into two sections then the proportion in larger section, separated by the vertical line at z = -0.75 is 0.7266.

In a standard normal distribution, the area to the left of a particular z-score represents the proportion of values below that z-score. The area to the right represents the proportion of values above that z-score.

Since the proportion in the smaller section is given as 0.2734, it corresponds to the area to the left of z = -0.75.

To find the proportion in the larger section, we subtract the given proportion from 1 since the total area under the curve is 1.

Proportion in larger section = 1 - 0.2734 = 0.7266

Therefore, the proportion in the larger section, separated by the vertical line at z = -0.75, is 0.7266.

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Answer:

27488.92 cm³

Step-by-step explanation:

El volumen de concentre para columna circular = área de superficie del círculo × altura de la columna.

= πr² × h

Dado que:

diámetro =   50 cm

height = d/2 = 50 cm / 2 = 25 cm

= 3.5 cm

Entonces:

El volumen de concentre para columna circular =  πr² × h

El volumen de concentre para columna circular =  π(25)² × 3.5

El volumen de concentre para columna circular = 6872.23 cm³

Para cuatro columnas circulares; el volumen será: = 4 × 6872.23 cm³

= 27488.92 cm³

we dunno, hmmm let's check for the slope for PQ

\(P(\stackrel{x_1}{-8}~,~\stackrel{y_1}{-10})\qquad Q(\stackrel{x_2}{-5}~,~\stackrel{y_2}{-12}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-12}-\stackrel{y1}{(-10)}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{(-8)}}} \implies \cfrac{-12 +10}{-5 +8} \implies \cfrac{ -2 }{ 3 } \implies - \cfrac{2 }{ 3 }\)

keeping in mind that perpendicular lines have negative reciprocal slopes, then if both are truly perpendicular, then line RS will have a slope of

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{-2}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2} \implies \cfrac{3}{ 2 }}}\)

let's see if that's true

\(R(\stackrel{x_1}{9}~,~\stackrel{y_1}{-6})\qquad S(\stackrel{x_2}{17}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-5}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{17}-\underset{x_1}{9}}} \implies \cfrac{-5 +6}{8} \implies \cfrac{ 1 }{ 8 } ~~ \bigotimes ~~ \textit{not perpendicular}\)

Answer:

Step-by-step explanation:

No they are not perpendicular.

Perpendicular lines have slopes that are negative reciprocals of each other.

PQ slope = -12 - -10/-5 --8 = -2/3

RS slope = -5 - -6/17 -9 = 1/8

Slope are not negative reciprocals - the lines are not perpendicular.

Slope formula is m = y2 - y1/x2 - x1

Use this to determine slope.

For example if the the slope of RS was 3/2 - the lines would be perpendicular.

Answer:

14

Step-by-step explanation:

Combine like terms first:

2x + 16 = 4x - 12

-2x + 16 = -12

-2x = -28

Next, you need to get x by itself, so you would divide both sides by the coffeficant in front of x- which in this case is -2-.

-2x = -28

x = 14

Answer: Big Lift Equipment

Step-by-step explanation:

From the question,

High Top Cranes charges $744 for delivery and $3,290 per day. Since Builder's Construction Company leases a crane for 11 days, the cost will be:

= $744 + $3290(11)

= $744 + $36190

= $36934

Big Lift Equipment charges $1,428 for delivery and $3,214 per day. Since Builder's Construction Company leases a crane for 11 days, the cost will be:

= $1428 + $3214(11)

= $1428 + $35354

= $36782

Based on the calculations, Big Lift Equipment has a lower cost

The 5 arithmetic means between 18 and -12 are; ​-7, -2, 3, 8, 13

Arithmetic Means is defined as the branch of mathematics that deals with the properties as well as the manipulation of numbers.

The formula for the nth term of an arithmetic mean is;

an = a + (n - 1)d

where;

a is first term

d is common difference

n is position of term

In this case, we want 5 terms between 18 and -12 and this means we have a total of 7 terms. Thus;

a = -12

a₇ = 18

18 = -12 + (7 - 1)d

18 + 12 = 6d

30 = 6d

d = 5

a₂ = -12 + (2 - 1)5

a₂ = -12 + 5

a₂ = -7

a₃ = -12 + (3 - 1)5

a₃ = -12 + 10

a₃ = -2

a₄ = -12 + (4 - 1)5

a₄ = 3

Thus;

a₅ = 8

a₆ = 13

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Height =9.7ft

Radius=7.6 feet

Answer:

\(Area = 336\ m^2\)

Step-by-step explanation:

If the ratio of the sides is 13:14:15, we can say that the length of each side is 13x, 14x and 15x.

Then, if the perimeter is 84 m, we have:

\(P = 13x + 14x + 15x = 84\)

\(42x = 84\)

\(x = 2\)

The length of each side is:

\(13x = 26\ m\)

\(14x = 28\ m\)

\(15x = 30\ m\)

Now, to find the area of the field, we can use the following formula:

\(Area = \sqrt{p(p-a)(p-b)(p-c)}\)

Where a, b and c are the sides and p is the semi perimeter:

\(p = P/2 = 42\ m\)

So we have that:

\(Area = \sqrt{42(42-26)(42-28)(42-30)}\)

\(Area = 336\ m^2\)

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

percentage loss = 20%

Step-by-step explanation:

percentage loss is calculated as

\(\frac{loss}{CP}\) × 100% ( CP is the cost price )

loss = SP - CP ( SP is selling price )

loss = CP - SP = 350 - 280 = 70 , then

percentage loss = \(\frac{70}{350}\) × 100% = 0.2 × 100% = 20%

Answer:

8,530

Step-by-step explanation:

8,531.75 rounds to 8,531 which rounds down to 8,530

The answer is 8,530.

The correct option is C as it consists exact domain and range that we need.

What is domain and range?

The domain of a function f(x) is that the set of all values that the function is outlined, and also the range of the operate is that the set of all values that f takes.

The set of all attainable values that qualify as inputs to a operate is thought because the domain of the operate, or it also can be outlined because the entire set of values attainable for freelance variables. .

Main body:

the given function :

{(2,3), (7,9), (4,-7), (6,2), (3,-5)}

domain = (2,7,4,6,3)

range = (3,9,-7,2,-5)

Hence the correct option is C.

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When rolling of 6-sided die, P(divisor of 9) is 1/3.

A divisor of 9 is a number that divides 9 evenly with no remainder. The divisors of 9 are 1, 3, and 9.

Since a 6-sided die has 6 equally likely outcomes, the probability of rolling any single number is 1/6.

To find the probability of rolling a divisor of 9, we need to count the number of favorable outcomes, which are the numbers 3 and 9, and divide by the total number of possible outcomes:

P(divisor of 9) = favorable outcomes / total outcomes

P(divisor of 9) = 2/6

P(divisor of 9) = 1/3

Therefore, the probability of rolling a divisor of 9 with a 6-sided die is 1/3.

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Answer: X=5

Step-by-step explanation:

Multiply inside the parentheses: 2x+8=x+13

Subtract x from the right side and subtract 8 from the left side: x=5

Answer:

Step-by-step explanation:

The Probability of Landing a heads is (1/2)

Now, to find the probability of landing it five times in a row, it is

1/2 x 1/2 x 1/2 x 1/2 x 1/2

( 1/2 is multiplied to the number of times to get a head )

The final answer will be,

Probability of landing heads 5 times in a row = 1/32