The table shows the results of a poll of 200 randomly selected juniors and seniors who were asked if they attended prom. Find the probability of each of the events.

juniors seniors
yes 28 97
no 56 19

Express your answer as a fraction, using the backslash. Example: 17 would be written as 1/7.


a) P (a junior who did not attend prom)

b) P (did not attend prom | senior)

c) P (junior | attended prom)

Answer:

Step-by-step explanation:

* The Null hypothesis was rejected.

* The confidence interval for the true difference in proportions between the first and second survey are:

0.008238357 and 0.003176164 respectively in 95% situations.

Please kindly go through the attached files for a step by step explanation of how these answer are gotten.

Answer:

d

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

The probability that the spinner will land on yellow is 2/8 because 2 is how many of the sections are yellow and 8 is how many sections there are in total. However, you need to simplify this to 1/4 and that is your answer

Final answer:

The probability that a spinner with 8 equal sections will land on yellow is 2 out of 8, which simplifies to 1/4 or a 25% chance.

Explanation:

The question asks about the probability of a spinner with 8 equal-sized sections landing on yellow, where 2 of the sections are yellow. To calculate the probability:

a. The probability that the spinner will land on yellow is 2 out of 8, or 1/4.

b. In words, the probability can be described as having a one in four chance or a 25% chance of landing on yellow when the spinner is spun.

Answer:

$1,136 per ounce.

Step-by-step explanation:

To find the new value of gold, you have to find what 60% of 710 is. You do this by converting 60% into a decimal and multiplying it by 710. This results in 0.6*710. 60% of 710 is 426. 426 + the original price of 710 is equal to 1,136.

You can also solve this problem in a condensed manner by multiplying 710 by 1.6: the 1.0 stands for the original price (710) so you don't have to add it later. The 0.6 stands for the 60% more. Multiplying 710 by 1.6 gets you 1,136, which is the new value of gold/ounce.

Okay, to find the answer,

All we need to do it multiply !

[tex]\frac{f}{-3.2}[/tex] = 0.01

f = (0.01) × (-3.2)

f = -.032

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Answer:

The price before the increase was $7.75.

Step-by-step explanation:

This question can be solved using a rule of three.

The price of a movie ticket after a 16% increase is $8.99.

This means that the current price, of $8.99, is 100+16 = 116% = 1.16 of the original

x, the original price, is 100% = 1. So

8.99 - 1.16

x - 1

[tex]1.16x = 8.99[/tex]

[tex]x = \frac{8.99}{1.16}[/tex]

[tex]x = 7.75[/tex]

The price before the increase was $7.75

Answer:

$7.75

Step-by-step explanation:

When a number is increased by a certain percentage, it means that the product of the percentage and the number is added to the number. The result is the increase of the original number by the given percentage.

As such, if the original number is x and it is increased by 16%, to get $8.99, this may be expressed mathematically as

16% * x + x = 8.99

1.16x = 8.99

x = 8.99/1.16

= $7.75  

The price before the increase was $7.75

Answer:

D

Step-by-step explanation:

All of the other functions are functions that are just multiplicative. When we substitute any x for A, B,or C, y/x will be the same. In D y/x will vary.

You would use the POINT SLOPE FORMULA and the Slope Formula

which is as follows ...

slope formula : [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

point slope formula:  [tex]y - y_{1} = m(x - x_{1} )[/tex]

Answer:

  inconsistent

Step-by-step explanation:

The sum of the first and last equations is ...

  (2x +3y -z) +(x +3y +z) = (-1) +(12)

  3x +6y = 11

Three times the second equation is ...

  3(x +2y) = 3(5)

  3x +6y = 15

There are no values of x, y, or z that can make both of these equations true. They are inconsistent.

Answer:

Step-by-step explanation:

50

Answer:

  $41

Step-by-step explanation:

Fill in the values of the variables and do the arithmetic.

  3r +2.5p = 3(7) +2.5(8) = 21 +20 = 41

7 roses and 8 petunias cost $41.

Answer:

she has 5

Step-by-step explanation:

16 vegetables subtracted by 6 = 10 carrots

10 carrots subtracted by 5 that she gives away = 5 that she has left

Answer:

d

Step-by-step explanation:

The function y = tan(x) + 2 is shown in the provided graph option fourth is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

The missing figure is in the picture please refer to the picture.

As we have a trigonometric function.

In the picture, the graph of a tanx is shown but 2 units up.

Thus, the function y = tan(x) + 2 is shown in the provided graph option fourth is correct.

Learn more about trigonometry here:

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Answer:

you are not aloud to cheat on tests please don't do that sorry can't answer to a cheater

Step-by-step explanation:

Answer:

Pretty sure in 7 years with no money withdrawn it would be $8,418.65

Step-by-step explanation:

because you would find out what 5.9% of $5958 which would be $351.522 you get that by multiplying [5958*5.9%=351.522]

Then multiply 351.522 by 7 and you get 2460.654 [351.522*7=2460.654]

Finally you add 2460.654 and 5958 and you get 8418.654 [5958+2460.522=8418.654]

Then you round down .654 and you get [8418.65]

Answer:

Just divide the sun-pluto distance by the milky way radius and you get the following ratio:

6.6 x 10^7 : 1

Answer:

9 square units

Step-by-step explanation:

Draw a rectangle around the triangle.  The rectangle is 4 units tall by 6 units wide.  The area of the triangle equals the area of the rectangle minus the triangles in the corners.

A = (4)(6) − ½(2)(4) − ½(1)(4) − ½(3)(6)

A = 24 − 4 − 2 − 9

A = 9

Answer:

[tex]6147\:Tickets[/tex]

Step-by-step explanation:

Area of the first level [tex]=75 X 75=5625 \:ft^2[/tex]

Area of the second level [tex]=130 X 60=7800 \:ft^2[/tex]

Total Area of Standing Room [tex]=5625+7800=13425 \:ft^2[/tex]

Since each person will occupy 2.25 square feet.

Number of Persons that will occupy the standing room

[tex]= 13425 \div 2.25\\=5966.7 \approx 5767\:persons[/tex]

Therefore the number of Tickets that should be sold

=Number of seats + Number for standing Room

=180+5967

[tex]\approx 6147\:tickets[/tex]

Therefore, the concert venue should sell 6,147 tickets.

By calculating the total square footage available in the venue, and then dividing by the space each person occupies, it's determined that the venue can sell roughly 6046 tickets per show.

The main task is to calculate the total available space, in square feet, in the concert venue. For the standing room areas, we first calculate the total square footage of each level by multiplying the dimensions of each space. For the first level, the area of a square is calculated by squaring the side length, so 75' x 75' = 5625 sq. ft. For the second level, the area of a rectangle is calculated by multiplying the length by the width, so 130' x 60' = 7800 sq. ft. The seated area already specifies the number of people it can accommodate, so no calculation for square footage is needed. Altogether, the venue has 5625 + 7800 + 180 = 13605 sq ft. available.

The next step is to divide the total square footage by the space taken up by each person to find out how many people can be accommodated. We divide 13605 by 2.25, obtaining 6046.67, but since we can't sell a fraction of a ticket, we should round down to the nearest whole number. Therefore, the venue can sell roughly 6046 tickets per show.

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3m-2n=19

5m+7n=11

21m-14n=133

10m+14n=22

Now add equations

31m=155

m=5

Now let's find n

3×5-2n=19

-2n=4

n=-2

Answer: (5; -2)

The question is about solving a system of two linear equations with two variables, m and n, using substitution method. First, solve one of the equations for one variable and substitute this into the other equation. Solve the resulting equation to find the value of one variable and substitute this value into the first equation to find the value of the second variable.

The question represents a system of linear equations. Such system contains two equations with two variables, namely m and n. To solve such a system, we can use various methods, such as substitution, elimination, or matrix methods. Let's use the substitution method in this case.

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Answer:

Step-by-step explanation:

A nonlinear function with at least one term raised to the power of two is known as a quadratic function

FOR :

A non-linear system of equations is a set of equations where one or more terms have a variable of power two or higher .

In Algebra, linear functions are polynomials with highest exponent equal to 1 or of the form y = c where c is constant. Non-linear functions are all other rest functions with exponent atleast 2.

Hence A nonlinear function with at least one term raised to the power of two is known as a quadratic function

The first of three consecutive terms after 55, which sum up to 738, is found to be 245 by setting up an equation and solving for n.

The student's question involves finding a variable, n, which represents the first of three consecutive terms, given that the sum of the three terms is 738 and that the sequence starts with a term after 55.

Let's denote the three consecutive terms as n, n+1, and n+2, where n is the first term that comes after 55. Since the sum of the terms is given as 738, we can formulate the following equation:

\(n + (n+1) + (n+2) = 738\)

Combining like terms, we get:

\(3n + 3 = 738\)

To find n, we'll subtract 3 from both sides of the equation and then divide by 3:

\(3n = 738 - 3\)

\(3n = 735\)

\(n = 245\)

Therefore, the first of the three consecutive terms is 245.

Answer:

2 g/cm^3

Step-by-step explanation:

D=m/V

=20g/10cm^3

=2g/cm^3

Density calculation based on mass and volume of an object is  2 g/cm³.

The density of an object is calculated by dividing its mass by its volume. In this case, with a mass of 20 g and volume of 10 cm³, the density can be calculated as:

Density = Mass / Volume = 20 g / 10 cm³ = 2 g/cm³

The probability that an alkaline battery will fail before 185 days is approximately 0.457, or 45.7%. The probability that an alkaline battery will last beyond 2 years is approximately 0.228, or 22.8%.

To answer part (a), we need to find the probability that an alkaline battery will fail before 185 days. Since the length of life of an alkaline battery follows an exponential distribution with an average life of 340 days, we can use the formula for the exponential distribution to calculate the probability. The formula is:

P(X < t) = 1 - e^(-t/μ)

Where X is the random variable representing the length of life of the battery, t is the time (in days) we are interested in, and μ is the average life of the battery. Plugging in the values, we have:

P(X < 185) = 1 - e^(-185/340)

Solving this equation gives us a probability of approximately 0.457, or 45.7%.

For part (b), we want to find the probability that an alkaline battery will last beyond 2 years. Since there are 365 days in a year, 2 years is equal to 730 days. Using the same formula as before, we have:

P(X > 730) = 1 - P(X < 730) = 1 - (1 - e^(-730/340))

Solving this equation gives us a probability of approximately 0.228, or 22.8%.

Answer:

a. 84 < n + (n + 2) + (n + 4) < 96

b. 26 < n < 30

step-by-step explanation:

using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'. so, the expression to represent three consecutive even numbers is: n + (n + 2) + (n + 4).

since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:

84 < n + (n + 2) + (n + 4) < 96

in order to solve for 'n', we must first combine like terms:

84 < 3n + 6 < 96

subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90

divide 3 by all sides: 78/3 < 3n/3 < 90/3 or 26 < n < 30.

Answer:

See Below

Step-by-step explanation:

The equation estimating the number of cellphones in the country is:

[tex]f(x)=114.8 e^{0.125x}[/tex]

Where x = 0 corresponds to year 2000

thus,

x = 1 is year 2001

x = 2 is year 2002

x = 3 is year 2003

and so on...

We want approx. number of cellphones in the country in 2003. This corresponds to x = 3. So substituting in the equation we get:

[tex]f(x)=114.8 e^{0.125x}\\f(3)=114.8 e^{0.125(3)}\\f(3)= 167.03[/tex]

So, approximately there were 167.03 million cellphones in the country in 2003

Answer:

A. 0.09

Step-by-step explanation:

Answer:

Explanation:

You can determine the probability of the collector has captured at least two small monsters of the same species is the complent of that all the monsters captured are of different species, i.e. none are of the same species.

The probability than none of the five captured small monsters are of the same species are:

1. Probability than the one monster is of the species One, and the others are not of the species One:

2. Probability that the first monster is of the species Two, and the others are not of the species Two:

3. Probability that the first monster is of the species Three and the others are not of the same species:

4. Inference

As you see you have to do this 32 times, and then add all the equal 32 probabilities, which is

That is the probability that none of the five small monsters are of the same species. Then, the probability that at leas two small monsters are of the same species is 1 - 0.72 = 0.28

Answer:

3/2

Step-by-step explanation:

StartFraction 2 m + 4 Over 8 EndFraction divided by StartFraction m + 2 Over 6 EndFraction

I think you mean:

(2m + 4) / 8   divided by (m + 2)/6

=

(2m + 4)/8    times  (6 / (m + 2) )

= (m + 2)/4  times  6/(m + 2)

= 6/4 = 3/2

The quotient of the given (2m + 4)/8 divided by (m +2)/6 will be 3/2.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

Given that

(2m + 4)/8  ÷ (m +2)/6

⇒ (2m + 4)/8 × 6/(m +2)

⇒ 2 ×6 ÷8

⇒3/2 hence it will be the correct answer.

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Answer:

Step-by-step explanation:

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