The Playmakers are planning their summer production. Profit is revenue minus cost. The production will cost between $2,500 and $3,000. The production will run for 14 nights with an expected audience average of from 100 to 200 people per night. If the tickets cost $8 each, approximately what is the expected profit for this production?

Answer:

can I see the third one, like can I see the full page because I can't see the rest

Using the substitution method, the values of x and y are 1 and 10 respectively

There are times when you come across two or more unknown quantities and two or more equations relating to them. These are called Simultaneous Equations.

The given equations are

4x + y = 14

y=8+2x

By substitution, put y=8+2x in equation 1

4x+8+2x=14

6x=14-8

6x=6

x=1

Recall that y=8+2(1)

y=8+2

Therefore the value of y=10

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The values are given as;

x = 1

y = 10

From the information given, we have that;

4x + y = 14

y = 8 + 2x

Substitute the value of y in equation (1), we get;

4x + 8 + 2x = 14

collect the like terms

4x + 2x = 14 - 8

Add or subtract the like terms

6x = 6

Make 'x' the subject

x = 1

Substitute the value

y = 8 + 2x

y = 8 + 2(1)

expand the bracket

y = 8 + 2

Add the values

y = 10

Hence, the values are 1 and 10

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Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

Width of the floor = 10 feet

Step-by-step explanation:

Given that:

Area of rectangular floor = 80 square feet

Width of rectangular floor = w

Length of rectangular floor = w - 2

Now,

Area = Length * Width

80 = w(w-2)

\(80=w^2-2w\\w^2-2w-80=0\\\)

Factorizing the equation,

\(w^2+8w-10w-80=0\\w(w+8)-10(w+10)=0\\(w+8)(w-10)=0\)

Either,

w+8 = 0

w = -8

Or,

w-10 = 0

w=10

As width cannot be negative,

width = 10 feet

Hence,

Width of the floor = 10 feet

Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The equation for a parabola that has x-intercepts (5,0) and (6,0) and y-intercept (0,1) is: \(y =\) \(a(x + 0.5)^2 - 1\)

The equation of a parabola can be found by using the vertex form of a parabolic equation, which is given by:\(y = a(x - h)^2 + k\), where (h, k) is the vertex of the parabola. In this case, the x-intercepts (5, 0) and (-6, 0) can be used to find the value of h, which is the midpoint between the x-intercepts and is equal to (-6 + 5) / 2 = -0.5.

The y-intercept (0, -1) can be used to find the value of k. So, the equation is:\(y = a(x + 0.5)^2 - 1\), where a is a constant that can be determined by substituting the vertex coordinates (h, k) into the equation.

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G1 and G2 are independent events, meaning that the probability of the second card being green is not affected by the first card being green. The probability of both cards being green is 0.4609, the probability of at least one card being green is 0.9609 and the conditional probability of G2 given G1 is 0.6410.

When we have two events that are randomly drawn, we can calculate the probability of both occurring simultaneously using the formula P(A and B) = P(A) * P(B). In this case, the probability of the first card drawn being green (P(G1)) is 9/14, and the probability of the second card drawn being green (P(G2)) is also 9/14. Therefore, the probability of the first and second card both being green is P(G1 and G2) = (9/14) * (9/14) = 0.4609. The probability of at least one green card being drawn is 1 - P(no green cards) = 1 - (5/14) * (5/14) = 0.9609. The conditional probability of the second card being green, given that the first card was green, is P(G2 | G1) = 9/14. Since the probability of each card drawn is independent of the other, G1 and G2 are independent events.

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Answer:

yes because are slopes are the same

As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.

Probability serves as an indicator of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing an unlikely event and 1 representing an unavoidable event. Switching a fair coin and coin flips has a probability of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probability theory is a branch of mathematics that studies happenings rather than their properties. It is applied in many fields, including statistics, fund, science, and engineering.

The central limit theorem can be used to approximate the sample mean distribution as a normal distribution with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size.

The standard error of the mean (SE) is calculated as follows:

SE = σ/√n

Where n is the sample size and is the population standard deviation.

SE = 83/√160 = 6.575

Z = (X - μ) / SE

Where X represents the sample mean, is the population mean, and SE represents the standard error of the mean.

Z = (553.9 - 541) / 6.575 = 1.94

As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.

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Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

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Answer:

Sana takes 10 minutes longer than Ali in bathroom

Step-by-step explanation:

Given:

Ali Showers, brushes teeth 20 minutes

Thus, Ali takes 20 minutes time in bathroom

Sana Takes a bath, brushes teeth ½ hour

1 hour has 60 minutes

1/2 hour has 60/2=30 minutes

Thus, Sana takes 30 minutes time in bathroom.

Time, taken more by sana than Ali = 30 minutes - 20 minutes = 10 minutes

.

Thus, Sana takes 10 minutes longer than Ali in bathroom.

Answer:

150%

Step-by-step explanation:

1. Divide 3/2

2. Multiply by 100

ratio 3:2 in a percentage is 150%

To achieve a goal of $700,000 in 40 years with a 2.3% monthly compounded rate of return, you should invest approximately $554.95 per month.

To determine the monthly investment required to reach a goal of $700,000 in 40 years with a rate of return of 2.3% compounded monthly, we can use the formula for calculating the future value of an investment.

The formula for future value (FV) of a monthly investment is given by:

\(FV = P \times [(1 + r)^n - 1] / r\)

Where:

P = monthly investment amount

r = monthly interest rate (2.3% = 0.023 divided by 12)

n = total number of compounding periods (40 years \(\times\) 12 months/year = 480 months)

We want the future value (FV) to be $700,000.

Substituting the given values into the formula, we can solve for the monthly investment amount (P):

\(700,000 = P \times [(1 + 0.023/12)^480 - 1] / (0.023/12)\)

Simplify the denominator:

(0.023/12) = 0.00191666667

Simplify the exponential term:

\((1 + 0.023/12)^{480} = (1.00191666667)^{480}\)

Subtract 1 from the exponential term:

\((1.00191666667)^{480 - 1\)

Multiply by the monthly investment amount (P):

\(P \times [(1.00191666667)^{480 - 1}]\)

Now, plugging in the simplified values, the equation becomes:

\(700,000 = P \times [(1.00191666667)^{480 - 1}] / 0.00191666667\)

Simplifying this equation will give us the required monthly investment amount to reach the goal of $700,000 in 40 years with a 2.3% monthly compounded rate of return.

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Answer:

\(\frac{1}{9}\)   or   0.1 recurring

Step-by-step explanation:

\(\frac{1}{3}\)  divided by 3

= \(\frac{1}{9}\)

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

8x2=h

Step-by-step explanation:

Answer:

8 ÷ 2 = h

Step-by-step explanation:

Since we know that 8 hours is two times the amount of time Kim read her book we know we have to divide 8 by 2 to get the answer for h.

have a good day/night

Answer:

132 ft

Step-by-step explanation:

Area small one

8^8 = 64 ft

Area of large one

14^14 = 196 ft

Shaded region=

196-64 =132 ft

Answer:

cat-7kgs

bananas-1kg

nickel-5gs

dollar-1g

part a- 464 grams

part b- 355 grams

part a- 86 grams

part b- 12 grams

The IQR of the given series 2.9, 5.7, 10.0, 13.2, 21.1 is 15.4

In the given question, a five number summary is given as follows

2.9, 5.7, 10.0, 13.2, 21.1

We need to find the IQR

So, first we'll find the median of the given series

The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does.

So, the given series is already in ascending order. And the middle value is 10.0. So the median is 10.0

Now to find the IQR the given formula will be used,

IQR = Q3 - Q1

Where Q3 is the last term in lower series and Q1 is the last term in upper series

Lower series - 2.9, 5.7

Upper series - 3.2, 21.1

Q3 = 5.7 , Q1 = 21.1

IQR = Q3 - Q1 = 21.1 - 5.7 = 15.4 ( IQR is always positive)

Hence, the IQR of the given series 2.9, 5.7, 10.0, 13.2, 21.1 is 15.4

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(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.

(10) The slope of a line parallel to this line, y = 10 -8x is -8.

The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.

Question 9.

f(x) = 0.75x + 6

where;

The slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3

Question 10.

For the equation of another line, y = 10 - 8x

The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;

y = 10 - 8x

where;

slope of a line parallel to the line = -8

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Answer:

28.07°

Step-by-step explanation:

use SohCahToa

in this case we use tan^-1 to get the angle x°

tan^-1(8/15)=28.07248694

to the nearest hundredth

=28.07°

Answer:

In the expression

\( {x}^{2} - 11x + 10\)

a in the formula will be substituted for 1

b in the formula will be substituted for -11

c in the formula will be substituted for 10

Answer:

Integer

Step-by-step explanation:

Integer :a number which is not a fraction; a whole number that can be Positive or negative

Hope this helps.. Good Luck