Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $35. For one performance, there were 55 tickets sold in all, and the total amount paid for them was $1825. How many tickets of each type were sold?​

Answer:

-15º F.

Step-by-step explanation:

Given that on Monday in Minneapolis, Minnesota it’s was 0 ° F outside, while on Tuesday it was 15 degrees colder, to determine what was the temperature on Tuesday the following calculation must be performed:

0 - 15 = X

-15 = X

Thus, the temperature on Thursday was -15º Fahrenheit, which is equal to -26.11º Celcius.

Answer:

(1) A Normal approximation to binomial can be applied for population 1, if n = 100.

(2) A Normal approximation to binomial can be applied for population 2, if n = 100, 50 and 40.

(3) A Normal approximation to binomial can be applied for population 2, if n = 100, 50, 40 and 20.

Step-by-step explanation:

Consider a random variable X following a Binomial distribution with parameters n and p.

If the sample selected is too large and the probability of success is close to 0.50 a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

The three populations has the following proportions:

p₁ = 0.10

p₂ = 0.30

p₃ = 0.50

(1)

Check the Normal approximation conditions for population 1, for all the provided n as follows:

\(n_{a}p_{1}=10\times 0.10=1<10\\\\n_{b}p_{1}=100\times 0.10=10=10\\\\n_{c}p_{1}=50\times 0.10=5<10\\\\n_{d}p_{1}=40\times 0.10=4<10\\\\n_{e}p_{1}=20\times 0.10=2<10\)

Thus, a Normal approximation to binomial can be applied for population 1, if n = 100.

(2)

Check the Normal approximation conditions for population 2, for all the provided n as follows:

\(n_{a}p_{1}=10\times 0.30=3<10\\\\n_{b}p_{1}=100\times 0.30=30>10\\\\n_{c}p_{1}=50\times 0.30=15>10\\\\n_{d}p_{1}=40\times 0.10=12>10\\\\n_{e}p_{1}=20\times 0.10=6<10\)

Thus, a Normal approximation to binomial can be applied for population 2, if n = 100, 50 and 40.

(3)

Check the Normal approximation conditions for population 3, for all the provided n as follows:

\(n_{a}p_{1}=10\times 0.50=5<10\\\\n_{b}p_{1}=100\times 0.50=50>10\\\\n_{c}p_{1}=50\times 0.50=25>10\\\\n_{d}p_{1}=40\times 0.50=20>10\\\\n_{e}p_{1}=20\times 0.10=10=10\)

Thus, a Normal approximation to binomial can be applied for population 2, if n = 100, 50, 40 and 20.

The value of x and y after solving the equation -5x - 10y = 30 and - 3x + 3y = 27 by elimination method is -6 and 3 respectively.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

-5x - 10y = 30 and - 3x + 3y = 27

Solve by using the elimination method,

Divide the equation - 3x + 3y = 27 by 3 and equation -5x - 10y = 30 by 5 on both sides,

(- 3x + 3y) / 3 = 27 / 3  and (-5x - 10y) / 5 = 30 / 5

-x + y = 9  and -x - 2y = 6

Subtract equation

-x + y = 9 - (-x - 2y = 6)

-x + y - 9 = x - 2y - 6

y = 3

and - x + 3 = 9, x = -6

Therefore, the value of x and y after solving the equation -5x - 10y = 30 and - 3x + 3y = 27 by elimination method is -6 and 3 respectively.

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Answer: 5000000000

Step-by-step explanation: i just know

I hope this helps you

Answer:

a)-6(x-2) = 4r-17

B) 10x +307 - 20) = 13-20

6) (18-19) -(4-720) = -73

г)-3(4-5y)+2(3-6y)=-39

The solution to the given equation √2x - 4 = - x is x = 2 and x = 8.

The quadratic equation is defined as a function containing the highest power of a variable is two.

The equation is given in the question, as follows:

√2x - 4 = - x

√2x = 4 - x

Squaring both sides of the above equation, and solve for x:

(√2x)² =  (4 - x)²

2x = 16 + x² - 8x

x² - 8x - 2x + 16 = 0

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

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

x = 2 and x = 8

Thus, the solution to the given equation is x = 2 and x = 8.

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Mavis gives a few business contacts who utilize these potential package options a call to get their opinions on the software's functionality and the caliber of the technical help provided.

What do you mean by a software program available off the shelf?

A ready-made software package that is ready to use out of the box is referred to as off-the-shelf software. It is accessible to everyone and includes a variety of characteristics, some or all of which can be used to enchant the general public.

It often involves a licensing rate and a one-size-fits-all method of application.

As a result, Mavis makes calls to a few professional contacts who have experience with these candidate packages to get their opinions on the software's functionality and the level of technical support provided.

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The down payment percentage for down payment of $52,396.20 and purchase price of $281,700 is option D: 18%.

What is down payment?

A down payment is a quantity of money that a buyer pays at the beginning of a pricey good or service purchase. A portion of the entire purchase price is covered by the down payment, and the buyer frequently takes out a loan to cover the balance.

The purchase price is - $281,700

The down payment is - $52,396.20

Let the down payment percentage be x.

The formula for down payment is -

Down Payment = Down Payment Percentage × Purchase Price

Substitute the values into the equation -

52,396.20 = x% × 281,700

x% = 52,396.20 / 281,700

x% = 0.186

x = 0.186 × 100

x = 18.6 ≈ 18%

Therefore, the down payment percentage is 18%.

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ANSWER:

4) D, L, B

STEP-BY-STEP EXPLANATION:

When three or more points that lie on the same line are collinear points.

In this case, the only points that are on the same line are D, L B

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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Answer:

Put 8 one the little line that is directly left to -1.

Put 9 at the line directly right from zero.

Put 10 on the line directly to the right of -1

Put 11 on the one directly left from zero.

Step-by-step explanation:

Well cause I know

Answer:

2 7/24

Step-by-step explanation:

Answer:

Step-by-step explanation: 6

Answer:

5.71% probability that, for a sample of 40 college games to be played next week, the mean number of holding penalties will be 2 penalties per game or less

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\(\mu = 2.2, \sigma = 0.8, n = 40, s = \frac{0.8}{\sqrt{40}} = 0.1265\)

What is the probability that, for a sample of 40 college games to be played next week, the mean number of holding penalties will be 2 penalties per game or less

This is the pvalue of Z when X = 2. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{2 - 2.2}{0.1265}\)

\(Z = -1.58\)

\(Z = -1.58\) has a pvalue of 0.0571

5.71% probability that, for a sample of 40 college games to be played next week, the mean number of holding penalties will be 2 penalties per game or less

Answer:

Step-by-step explanation:

How Far Can A Snail Travel In One Hour

If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.

Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.

This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.

Answer:

225 calories

Step-by-step explanation:

1 recipe makes

12 standard sized pancakes

2 pancakes are 1/6 of the recipe

1/6 of the recipe has 150 calories

6 × 150 calories = 900 calories

The full recipe of 12 pancakes has 900 calories

1/2 recipe was made

1/2 recipe has 1/2 × 900 calories = 450 calories

1/2 recipe made 8 pancakes

4 pancakes are half of the half recipe or 1/4 recipe

1/4 × 900 calories = 225 calories

The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

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Answer:

171 > 117

Step-by-step explanation:

171 is greater than 117 meaning the alligator is eating the bigger number, 171.

Answer:

180

Step-by-step explanation:

IF  you

Answer:

38.465

i used 3.14 for pi

Step-by-step explanation:

Answer:

(0, 256) is A local maxima

(8,0) is A local minima

(Emphasis on the A, I'm not really sure so don't criticize me if I am wrong)

Answer:

The answer is 15/19

Step-by-step explanation:

Both 60 and 76 are divisible by 4:

60/4 = 15 and 76/4 = 19

Final answer; 15/19

The solution to the equation 3x + 10x = 8x is x = 2

From the question, we have the following parameters that can be used in our computation:

3x + 10x = 8x

Collect the like terms

So, we have

8x - 3x = 10

When the like terms are evaluated, we have

5x = 10

Divide both sides by 5

x = 2

Hence, the solution to the equation is x = 2

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Answer:

For probabilities with replacement

\(P(2\ Red) = \frac{25}{64}\)

\(P(2\ Black) = \frac{9}{64}\)

\(P(1\ Red\ and\ 1\ Black) = \frac{15}{32}\)

\(P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{64}\)

For probabilities without replacement

\(P(2\ Red) = \frac{5}{14}\)

\(P(2\ Black) = \frac{3}{28}\)

\(P(1\ Red\ and\ 1\ Black) = \frac{15}{28}\)

\(P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{56}\)

Step-by-step explanation:

Given

\(Marbles = 8\)

\(Red = 5\)

\(Black = 3\)

For probabilities with replacement

(a) P(2 Red)

This is calculated as:

\(P(2\ Red) = P(Red)\ and\ P(Red)\)

\(P(2\ Red) = P(Red)\ *\ P(Red)\)

So, we have:

\(P(2\ Red) = \frac{n(Red)}{Total} \ *\ \frac{n(Red)}{Total}\\\)

\(P(2\ Red) = \frac{5}{8} * \frac{5}{8}\)

\(P(2\ Red) = \frac{25}{64}\)

(b) P(2 Black)

This is calculated as:

\(P(2\ Black) = P(Black)\ and\ P(Black)\)

\(P(2\ Black) = P(Black)\ *\ P(Black)\)

So, we have:

\(P(2\ Black) = \frac{n(Black)}{Total}\ *\ \frac{n(Black)}{Total}\)

\(P(2\ Black) = \frac{3}{8}\ *\ \frac{3}{8}\)

\(P(2\ Black) = \frac{9}{64}\)

(c) P(1 Red and 1 Black)

This is calculated as:

\(P(1\ Red\ and\ 1\ Black) = [P(Red)\ and\ P(Black)]\ or\ [P(Black)\ and\ P(Red)]\)

\(P(1\ Red\ and\ 1\ Black) = [P(Red)\ *\ P(Black)]\ +\ [P(Black)\ *\ P(Red)]\)

\(P(1\ Red\ and\ 1\ Black) = 2[P(Red)\ *\ P(Black)]\)

So, we have:

\(P(1\ Red\ and\ 1\ Black) = 2*[\frac{5}{8} *\frac{3}{8}]\)

\(P(1\ Red\ and\ 1\ Black) = 2*\frac{15}{64}\)

\(P(1\ Red\ and\ 1\ Black) = \frac{15}{32}\)

(d) P(1st Red and 2nd Black)

This is calculated as:

\(P(1st\ Red\ and\ 2nd\ Black) = [P(Red)\ and\ P(Black)]\)

\(P(1st\ Red\ and\ 2nd\ Black) = P(Red)\ *\ P(Black)\)

\(P(1st\ Red\ and\ 2nd\ Black) = \frac{n(Red)}{Total} *\ \frac{n(Black)}{Total}\)

So, we have:

\(P(1st\ Red\ and\ 2nd\ Black) = \frac{5}{8} *\frac{3}{8}\)

\(P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{64}\)

For probabilities without replacement

(a) P(2 Red)

This is calculated as:

\(P(2\ Red) = P(Red)\ and\ P(Red)\)

\(P(2\ Red) = P(Red)\ *\ P(Red)\)

So, we have:

\(P(2\ Red) = \frac{n(Red)}{Total} \ *\ \frac{n(Red)-1}{Total-1}\)

We subtracted 1 because the number of red balls (and the total) decreased by 1 after the first red ball is picked.

\(P(2\ Red) = \frac{5}{8} * \frac{4}{7}\)

\(P(2\ Red) = \frac{5}{2} * \frac{1}{7}\)

\(P(2\ Red) = \frac{5}{14}\)

(b) P(2 Black)

This is calculated as:

\(P(2\ Black) = P(Black)\ and\ P(Black)\)

\(P(2\ Black) = P(Black)\ *\ P(Black)\)

So, we have:

\(P(2\ Black) = \frac{n(Black)}{Total}\ *\ \frac{n(Black)-1}{Total-1}\)

We subtracted 1 because the number of black balls (and the total) decreased by 1 after the first black ball is picked.

\(P(2\ Black) = \frac{3}{8}\ *\ \frac{2}{7}\)

\(P(2\ Black) = \frac{3}{4}\ *\ \frac{1}{7}\)

\(P(2\ Black) = \frac{3}{28}\)

(c) P(1 Red and 1 Black)

This is calculated as:

\(P(1\ Red\ and\ 1\ Black) = [P(Red)\ and\ P(Black)]\ or\ [P(Black)\ and\ P(Red)]\)

\(P(1\ Red\ and\ 1\ Black) = [P(Red)\ *\ P(Black)]\ +\ [P(Black)\ *\ P(Red)]\)

\(P(1\ Red\ and\ 1\ Black) = [\frac{n(Red)}{Total}\ *\ \frac{n(Black)}{Total-1}]\ +\ [\frac{n(Black)}{Total}\ *\ \frac{n(Red)}{Total-1}]\)

So, we have:

\(P(1\ Red\ and\ 1\ Black) = [\frac{5}{8} *\frac{3}{7}] + [\frac{3}{8} *\frac{5}{7}]\)

\(P(1\ Red\ and\ 1\ Black) = [\frac{15}{56} ] + [\frac{15}{56}]\)

\(P(1\ Red\ and\ 1\ Black) = \frac{30}{56}\)

\(P(1\ Red\ and\ 1\ Black) = \frac{15}{28}\)

(d) P(1st Red and 2nd Black)

This is calculated as:

\(P(1st\ Red\ and\ 2nd\ Black) = [P(Red)\ and\ P(Black)]\)

\(P(1st\ Red\ and\ 2nd\ Black) = P(Red)\ *\ P(Black)\)

\(P(1st\ Red\ and\ 2nd\ Black) = \frac{n(Red)}{Total} *\ \frac{n(Black)}{Total-1}\)

So, we have:

\(P(1st\ Red\ and\ 2nd\ Black) = \frac{5}{8} *\frac{3}{7}\)

\(P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{56}\)

For every 4 beef cattle there is 3 dairy cattle. For 24 dairy cattle there will be 32 beef cattle as per the given ratio of 3:4.

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.

Here,

a. No for every 4 beef cattle there is 3 dairy cattle.

b. 4/3=x/24

x=4*24/3

x=32 beef cattle

There are 3 dairy cattle for every 4 beef cattle. According to the stated ratio of 3:4, there will be 32 beef cattle for every 24 dairy cattle.

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Answer:

I don't understand the question sorry

Answer: 2048

Step-by-step explanation: 1. Write the exponential growth model.

The population of the town doubles every year, so the growth factor is 2. The initial population is 112, so the equation is: P(t) = 112(2)^t where P(t) is the population in year t and t is the number of years since 2014.

2. Estimate the population of the town in 2023. To estimate the population of the town in 2023, we can set t=9, since 2023 is 9 years after 2014. Plugging this into the equation, we get: P(9) = 112(2)^9 = 2048

Therefore, the estimated population of the town in 2023 is 2048.

Answer:

3(x+7)=57

Step-by-step explanation:

3 is being multiplied by "the sum of a number(or x) and 7". So, we write it as 3(x+7). That is equal to 57, so that makes the expression 3(x+7)=57.

-hope it helps

Equivalent expressions are expressions that have the same values.

The expression is \(3(x + 7) = 57\) and the number is 12

Represent the number with x.

So, the sum of a number (x) and 7 would be represented as: x + 7

Three times the sum would be represented as: 3(x + 7)

This expression is equivalent to 57.

So, we have:

\(3(x + 7) = 57\)

Divide both sides of the equation by 57

\(x + 7 = 19\)

Subtract 7 from both sides of the equation

\(x + 7 - 7 = 19 - 7\)

\(x = 12\)

Hence, the number is 12

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Answer:

Yes, and if you divide x^3+3x^2-7x-21 with x+3 you will result in x^2-7

Step-by-step explanation:

Hope this helps

And I like your profile pic

The given polynomial is divisible by x+3 because f(-3)=0

So , the remainder is equal to 0

Her conclusion is correct.

Given :

Angie divides the polynomial function

\(f (x)=x^3+3x^2-7x-21\) by (x+3)

Apply remainder theorem to check whether the remainder is equal to 0

If a polynomial p(x) is divisible by  (x-a), the remainder obtained is P(a)

x+3 is the divisor

Lets set the divisor =0 and solve for x

\(x+3=0\\x=-3\)

Now we plug in -3 for x in given f(x) and see whether f(-3) =0

\(f (x)=x^3+3x^2-7x-21\\f (-3)=(-3)^3+3(-3)^2-7(-3)-21\\f(-3)=-27+27+21-21\\f(-3)=0\)

So, f(-3)=0 and hence the remainder is 0

Her conclusion is correct

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Part A :

Yes, the statement is true that  P( A and B ) = 0 .

Given,

Event A and Event B are mutually exclusive.

Thus P ( A and B ) = 0

Part B:

A and B are mutually exclusive events if they do not occur at the same time.

This means that A and B do not share any common outcomes and

P(A and B) = 0.

Part C:

Let,

The sample space W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Let A = {1, 2, 3, 4, 5}, Y = {4, 5, 6, 7, 8}, and B = {7, 9}.

A and B do not have any numbers in common so P(A and B) = 0.

Hence, A and B are mutually exclusive.

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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