Renee bought 6 tickets to a football game. She paid a total of $216.

Answer:

yes

Step-by-step explanation:

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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The rate of the cell phone company is an illustration of a linear equation

It is worth it if Tamira sends an additional message

The parameters are given as:

Rate = 0.10 per message for up to 100 messages

Rate = 0.08 per message from 101 to 200 messages

Rate = 0.06 per message from 201 to 300 messages

If Tamira sends 200 messages, the total charge is:

\(\mathbf{Total = 0.08 * 200}\)

\(\mathbf{Total = \$16}\)

If Tamira sends an additional message to make it 201 messages, the total charge is:

\(\mathbf{Total = 0.06 * 201}\)

\(\mathbf{Total = \$12.06}\)

By comparison.

$12.06 is less than $16

This means that she spends less is she sends 201 messages.

Hence, it is worth it if Tamira sends an additional message

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Answer:

the weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching

Step-by-step explanation:

This is the word for word answer but be careful and don´t copy it exactly!! paraphrase the answer using your own words

Answer:

The balance in the account after 3 years is approximately $2313.94.

Step-by-step explanation:

The formula for calculating the balance in a continuously compounded account is:

B = Pe^(rt)

Where:

B = balance

P = principal

e = Euler's number (approximately 2.71828)

r = annual interest rate (as a decimal)

t = time in years

Using the given values, we have:

P = $2000

r = 0.051 (5.1% expressed as a decimal)

t = 3

Plugging these values into the formula, we get:

B = 2000e^(0.051*3)

B = 2000e^(0.153)

B = $2313.94 (rounded to the nearest cent)

Therefore, the balance in the account after 3 years is approximately $2313.94.

The number of fish in the bucket before Jasper feeds the dolphins was 12.

Since Jasper won the raffle at the zoo and gets to feed the dolphins, and the dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins, and each dolphin gets 3 fish, to find the number of fish F in the bucket Before Jasper feeds the dolphins, the following equation must be performed:

Therefore, the number of fish in the bucket before Jasper feeds the dolphins was 12.

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The function f(x) = (x-2)(x+4) is a quadratic function that can be written in standard form as f(x) = x^2 + 2x - 8.

To graph this function, we can start by finding the vertex, which is located at x = -b/2a = -2/2 = -1, and then plotting a few additional points to determine the shape of the parabola.

To find the y-coordinate of the vertex, we plug x = -1 into the equation and get f(-1) = (-1)^2 + 2(-1) - 8 = -7. So the vertex is at (-1, -7).

We can also find the x-intercepts by setting f(x) = 0 and solving for x:

(x-2)(x+4) = 0

x-2 = 0 or x+4 = 0

x = 2 or x = -4

So the x-intercepts are at (2, 0) and (-4, 0).

To find the y-intercept, we set x = 0 and get f(0) = (0-2)(0+4) = -8. So the y-intercept is at (0, -8).

Now we can plot these points and sketch the parabola:

```

|

|

|

| *

|

|

------+------------> x

|

|

|

|

|

|

```

The domain of the function is all real numbers, since there are no restrictions on the values that x can take.

To find the range of the function, we can look at the vertex and see that the lowest point on the parabola is at y = -7. Since the parabola opens upward, the range extends from -7 to infinity:

Range: [-7, ∞)

This Took me a long long time

Answer:

270 to 150

Step-by-step explanation:

Answer:

children: adult= 5:6

Step-by-step explanation:

no. of children = total - adult

children = 125

ration = 125:150

= 5:6

The value of the vase 65 years ago was $115.38

The value of the vase now is $415.38.

Percentage is a measure of frequency. Percentage is the fraction of an amount that is expressed as a number out of 100. The sign that is used to represent percentage is %.

The equation that can be used to represent the increase in the value of the vase is:

Increase in the value of the vase = percentage increase x value of the vase 65 years ago

300 = 2.6v

In order to determine the value of v, divide both sides of the equation by 2.65.

v = 300 / 2.60

v = $115.38

Value of the vase now = value of the vase 65 years ago + increase

$115.38 + $300 = $415.38

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The mean, median, range, and standard deviation  for the new data set must all be 7 greater than for the original data set.

The mean is the sum of all the values divided by the number of values. Adding the number 6 to the original data set of 30 positive integers increases the sum of all the values by 6, which means the mean for the new data set must be 7 greater than the mean for the original data set.

The formula for the mean is: Mean = (Sum of Values)/(Number of Values)

For the original data set: Mean = (Sum of Values)/30

For the new data set: Mean = (Sum of Values + 6)/31

Therefore, the mean for the new data set must be 7 greater than the mean for the original data set.

The median is the middle value in a set of data. Adding the number 6 to the original data set of 30 positive integers increases the total number of values to 31, which means the median is calculated differently for the new data set than the original data set. The median for the new data set must be 7 greater than the median for the original data set.

The formula for the median is: Median = (n+1)/2

For the original data set: Median = (30+1)/2 = 15.5

For the new data set: Median = (31+1)/2 = 16.5

Therefore, the median for the new data set must be 7 greater than the median for the original data set.

The range is calculated by subtracting the smallest value from the largest value in a data set. Adding the number 6 to the original data set of 30 positive integers increases the largest value by 6, which means the range for the new data set must be 7 greater than the range for the original data set.

The formula for the range is: Range = (Largest Value) - (Smallest Value)

For the original data set: Range = (Largest Value) - 13

For the new data set: Range = (Largest Value + 6) - 13

Therefore, the range for the new data set must be 7 greater than the range for the original data set.

The standard deviation is a measure of how spread out the values in a data set are. Adding the number 6 to the original data set of 30 positive integers increases the total number of values by 1, which means the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.

The formula for the standard deviation is: Standard Deviation = √ (Sum of (Values - Mean)2 / Number of Values)

For the original data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 30)

For the new data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 31)

Therefore, the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.

The mean, median, range, and standard deviation for the new data set must all be 7 greater than for the original data set

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Answer:

\(x = 19\)

Step-by-step explanation:

Given

Shape: Regular Dodecagon

Interior Angle = 8x - 2

Required

Determine x

The sum of n terms of a regular polygon is:

\(Sum=180(n-2)\)

Sides of a dodecagon is 12; So, we have:

\(Sum=180(12-2)\)

\(Sum=180(10)\)

\(Sum=1800\)

Each angle is gotten by dividing 1800 by 12

\(Angle = \frac{1800}{12}\)

\(Angle = 150\)

Equate this to 8x - 2:

\(8x - 2 = 150\)

Solve for x

\(8x = 150 + 2\)

\(8x = 152\)

\(x = 152/8\)

\(x = 19\)

Answer:

  see below

Step-by-step explanation:

Subtracting 52 from the y-coordinate of a point moves its location on the graph down 52 units. y=f(x)-52 is shifted down by 52 units from y=f(x).

Answer:

a) the probability that  no sales are made in 10 calls is 0.1969

b) the probability more than 1 sales are made in 20calls is 0.8244

Step-by-step explanation:

Given that;

p = 0.15

q = 1 - p = 1 - 0.15 = 0.85

a) probability that  no sales are made in 10 calls will be;

n = 10

p(x=0) = ¹⁰C₀(0.15)⁰ (0.85)¹⁰ = 0.1969

Therefore the probability that  no sales are made in 10 calls is 0.1969

b) probability more than 1 sales are made in 20calls

n = 20

let y be number of sales in 20 calls

y∪Bin(n=20, p=0.15)

p(y > 1) = 1 - [p(y=0) + p(y=1)

= 1 - [²⁰C₀(0.15)⁰ (0.85)²⁰ + ²⁰C₁(0.15) (0.85)¹⁹] = 0.8244

Therefore the probability more than 1 sales are made in 20calls is 0.8244

Answer:

32 : 1

Step-by-step explanation:

dimensions of the parts of the ratio must be in the same units

convert 9 feet to inches

1 foot = 12 inches

then

9 feet = 9 × 12 = 108 inches

then ratio

9 feet : 3 \(\frac{3}{8}\) inches

= 108 inches : 3 \(\frac{3}{8}\) inches ( change mixed number to improper fraction )

= 108 : \(\frac{27}{8}\) ( multiply both parts by 8 to clear the fraction )

= 864 : 27 ( divide both parts by 27 )

= 32 : 1

The sum of three consecutive numbers for 150 is 49,50,51.

Three consecutive numbers:  x+(x+1)+(x+2)

x+x+1+x+2= 150

3x+3 = 150

3x = 150-3

3x= 147

X = 147/3

49 =x

But we also need to find (x+1) and (x+2)

49+1= 50

49+2= 51

49+50+51 = 150

The three consecutive numbers are 49,50,51.

Meaning: Numbers that follow one another numbers sequentially are known as consecutive numbers. The difference between any two numbers is always 1. A series of numbers' mean and median are equal. If n is a number, then it follows that n, n+1, and n+2 are also numbers. Examples. 1, 2, 3, 4, 5.

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Answer:

See below.

Step-by-step explanation:

Make a table with values at certain values of x from -2 to 2.

Write in the table f(x) and g(x), and then h(x).

Then, plot the points for h(x).

See the picture below.

The Value of x is 2/3.

The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.

The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.

Mean = (x + x+3 + x-5 + 2x + 3x) / 5

Next, we simplify the expression:

Mean = (5x - 2 + 3x) / 5

Mean = (8x - 2) / 5

We are given that the mean is also equal to x:

Mean = x

Setting these two expressions equal to each other, we have:

(x) = (8x - 2) / 5

To solve for x, we can cross-multiply:

5x = 8x - 2

Bringing all the x terms to one side of the equation and the constant terms to the other side:

5x - 8x = -2

-3x = -2

Dividing both sides by -3:

x = -2 / -3

Simplifying, we get:

x = 2/3

Therefore, the value of x is 2/3.

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Answer:

  f^-1(x) = (4x +3)/(1 -x)

Step-by-step explanation:

Solve for y:

  f(y) = x

  (y -3)/(y +4) = x

  y -3 = xy +4x . . . . . . multiply by y+4

  y -xy = 4x +3 . . . . . . add 3-xy

  y(1 -x) = 4x +3 . . . . . factor out y

  y = (4x +3)/(1 -x) . . . divide by the coefficient of y

The inverse function is ...

  f^-1(x) = (4x +3)/(1 -x)

Since we cannot have a fraction of a bag, Bob's market can sell a total of 41 complete bags of mixed berries.

Last year, Bob's market ordered 5 2/3 cups of strawberries. This year, they plan to order 6 1/2 times as many strawberries as last year.

Therefore, the quantity of strawberries this year is:

Strawberries = 5 2/3 cups * 6 1/2 = (17/3) cups * (13/2) = (221/6) cups.

They also plan to order 1/6 of a cup of blueberries.

Total berries = Strawberries + Blueberries = (221/6) cups + (1/6) cups = (222/6) cups.

Since they want to sell the berries in 6-ounce bags, we need to convert the cup measurement to ounces.

1 cup = 8 ounces.

Total berries = (222/6) cups * 8 ounces/cup = (1488/6) ounces = 248 ounces.

Now, we can find the number of complete 6-ounce bags they can sell:

Number of bags = Total ounces / 6 ounces = 248 ounces / 6 ounces = 41.3333.

Since we cannot have a fraction of a bag, Bob's market can sell a total of 41 complete bags of mixed berries.

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

-24

Step-by-step explanation:

If you are struggling with this here's a tip!

-18+-6 is what you are trying to solve

The 6 is negative, so get rid of the plus sign -18-6

2 negative numbers are just added like positive numbers

So add 18 and 6, you should get 24

Don't forget about the negative!

-24

Therefore , the solution of the given problem of unitary method comes out to be the fence's true length is about 17.92 feet.

Use the tried-and-true fundamental method, the actual variables, and any relevant information gleaned from general and specific questions to complete expression the assignment. Customers may be given another chance to taste the products in response. If these adjustments don't happen, we'll lose out on significant advancements in our understanding of programmes.

Here,

We can utilise the idea of proportions to determine the fence's actual length based on the scale drawing.

Given:

24 feet are represented by 3.75 inches at the given scale.

Let's establish a ratio:

=>  24 feet x 3.75 inches = 2.8 inches

where x represents the fence's real length.

If we cross-multiply, we obtain:

=>  24 feet * 2.8 inches * 3.75 inches

If we simplify, we get:

=>  3.75x = 67.2

By multiplying both sides by 3.75, we obtain:

=>  x = 67.2 / 3.75

=> × ≈ 17.92 feet

Therefore, the fence's true length is about 17.92 feet.

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Answer:

l=P over 2﹣w

Step-by-step explanation:

Type I regions- ∫∫R f(x,y)dA = ∫b x=a ∫h(x) y=g(x) f(x,y) dy dx

Type II regions- ∫∫R f(x,y)dA = ∫d y=c ∫h(y) x=g(y) f(x,y) dx dy

Curves of type I can be described for yy in terms of xx and often "lay above and below" one another.

Type II curves, on the other hand, can be defined for xx in terms of yy and are more or less "left and right" of one another.

Type II regions can be divided into horizontal slices, but Type I regions can be divided into vertical slices.

When a location is simultaneously classified as Type I and Type II, you can choose to examine it in any manner.

Type I regions are regions that are bounded by vertical lines x=a and x=b, and curves y=g(x) and y=h(x), where we assume that g(x)<h(x) and a<b. Then we can integrate first over y and then over x:

∫∫R f(x,y)dA = ∫b x=a ∫h(x) y=g(x) f(x,y) dy dx

Type II regions are bounded by horizontal lines y=c and y=d, and curves x=g(y) and x=h(y), where we assume that g(y)<h(y) and c<d. Then we can integrate first over x and then over y:

∫∫R f(x,y)dA = ∫d y=c ∫h(y) x=g(y) f(x,y) dx dy

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Answer:

0.3898 = 38.98% probability that there will be 4 failures

Step-by-step explanation:

A sequence of Bernoulli trials forms the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Let the probability of success on a Bernoulli trial be 0.26.

This means that \(p = 0.26\)

a. In five Bernoulli trials, what is the probability that there will be 4 failures?

Five trials means that \(n = 5\)

4 failures, so 1 success, and we have to find P(X = 1).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 1) = C_{5,1}.(0.26)^{1}.(0.74)^{4} = 0.3898\)

0.3898 = 38.98% probability that there will be 4 failures

Answer:

yeah its simple 1g=1000mg so 6000g=6g

Step-by-step explanation:

no need to thank me

Answer:

Step-by-step explanation:

The answer is 6

Answer:

D. 5, 6, 8, 9

Step-by-step explanation:

Simply plug in the x values into the function to find the y values:

y = ∛(-8) + 7 = 5

y = ∛(-1) + 7 = 6

y = ∛1 + 7 = 8

y = ∛8 + 7 = 9

Answer:

5, 6, 8, 9

Step-by-step explanation: I took the test

The probability that both male and female are non-smokers is 0.56.

Given that, at a local college, 198 of the male students are smokers and 792 are non-smokers.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Number of male smokers=198

Number of male non-smokers=792

Total number of male smokers=198+792

= 990

Number of female smokers=330

Number of female non-smokers=770

Total number of female smokers=330+770

= 1100

Probability that both are non-smokers is given by

P(both are non-smokers ) = P(Male non-smoker) × P(female non-smoker)

= 792/990 × 770/1100

= 0.8 × 0.7

= 0.56

Therefore, the probability that both male and female are non-smokers is 0.56.

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a. Given that for 1 adult, the amount of money collected is $6, then, for 90 adults the amount of money collected is 90x6 dollars.

Given that for 1 student, the amount of money collected is $2, then, for 50 students the amount of money collected is 50x2 dollars.

The total amount of money is the addition of these two amounts, that is,

Total = 90x6 + 50x2

b.

Total = 90x6 + 50x2

Total = 540 + 100

Total = 640 dollars