Pippin has a 40 ounce sports drink. She drinks 35 ounces.
Enter the percentage of ounces Pippin has left of her sports drink.

The closest answer among the given options is B) 2,100.

To estimate the number of people in the town who would name chocolate as their favorite ice-cream flavor, we can use proportions. We know that 7 out of 50 people in the sample named chocolate as their favorite. To find the proportion of chocolate lovers in the sample, we can divide the number of chocolate lovers by the total number of people surveyed:

7 chocolate lovers / 50 people surveyed = 0.14

Now, we can apply this proportion to the total population of the town to estimate the number of chocolate lovers:

0.14 * 14,878 (total population) ≈ 2,082.92

Since we can't have a fraction of a person, we can round this number to the nearest whole number:

Approximately 2,083 people in the town would be expected to name chocolate as their favorite ice-cream flavor.

The closest answer among the given options is B) 2,100.

If she worked 36 hours this week, then Corina made $486 this week.

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

Corina makes $27 for every 2 hours that she works.

So she makes:

27/2 = $13.50 per hour

If she worked 36 hours this week, she would make:

36 hours x $13.50 per hour = $486

Therefore, Corina made $486 this week.

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The exponential growth function for the given initial population of the city is y = 315,000 × (1 + 0.02)ⁿ .

And the population increase in the year 2020 is equal to 468000.

Population in the year 2000 = 315,000

Increase in population growth by 2%

The population is increasing by 2% annually, which means the growth rate is 0.02 per year.

The initial population in the year 2000 is 315,000.

An exponential growth function as follows,

y = a ( 1 + r )ⁿ

Where 'a' represents the initial population of the city.

And 'r' represents the rate of the growth of the population.

y = 315,000 × (1 + 0.02)ⁿ

where n is the number of years after 2000 .

And y is the population at that time.

To find the population in the year 2020,

Substitute n = 20 into the equation to get the population in 2020 and solve for y,

y = 315,000 × (1 + 0.02)²⁰

⇒ y = 315,000 × (1.02)²⁰

⇒ y = 315,000 × 1.4860

y ≈ 468073.4

Rounding to the nearest thousand, the population in 2020 will be about 468000.

Therefore, the exponential growth function is y = 315,000 × (1 + 0.02)ⁿ and the population in 2020 is 468000.

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The above question is incomplete, the complete question is:

The population of a city has been increasing by 2% annually. The sign shown is from the year 2000.

City limit

Brookfield

Population. 315,000

Write an exponential growth function that represents the population t

years after 2000?

y=

What will the population be in 2020? Round your answer to the nearest thousand.

The population will be about

Answer:

x = 2

y = 1

Step-by-step explanation:

3y + x = 5                       y = 3 - x

3(3 - x) + x = 5

9 - 3x + x = 5

9 - 2x = 5

-2x = -4

x = 2

Now put 2 in for x and solve for y

3y + x = 5    

3y + 2 = 5

3y = 3

y = 1

Let's Check

1 = 3 - 2

1 = 1

So, x = 2 and y = 1 is the correct answer.

You would use a Chi-square test to determine if sample data provide evidence that hypothesized proportions are not correct for a single categorical value from a single population.

You would use a hypothesis test to determine if sample data provide evidence that hypothesized proportions are not correct for a single categorical value from a single population. This type of hypothesis test is commonly used in statistics to evaluate the significance of differences between observed and expected frequencies.

The test involves selecting a sample from the population of interest, calculating the sample proportions, and comparing them to the hypothesized proportions using statistical methods. If the observed proportions are significantly different from the hypothesized proportions, then there is evidence to suggest that the hypothesized values are not correct.

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You would use a one-sample proportion test to determine if sample data provide evidence that hypothesized proportions are not correct for a single categorical value from a single population.

In this test, we compare the observed proportion (based on the sample data) to a hypothesized proportion (based on the null hypothesis) using a test statistic and a p-value. If the p-value is less than the chosen significance level (e.g., 0.05), we reject the null hypothesis and conclude that the observed proportion is significantly different from the hypothesized proportion.

This test is often used in quality control, market research, and public opinion polling to test whether a particular proportion (such as the proportion of defective products or the proportion of people who support a particular policy) is consistent with a hypothesized value.

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The length of the diagonal of the door is approximately 14.308 feet. Rounding to the nearest whole number, the answer is 14 feet.

The lengths of the trim pieces that make an X on the door form the legs of a right triangle, and the diagonal of the door forms the hypotenuse of the right triangle. Using the Pythagorean theorem, we can find the length of the hypotenuse:

a^2 + b^2 = c^2

where a and b are the lengths of the trim pieces and c is the length of the hypotenuse.

Each trim piece forms a right triangle with the height of the door (7 feet) and one half of the width of the door (1.5 feet). Using the Pythagorean theorem, we can find the length of each trim piece:

a^2 + b^2 = c^2

where a = 7 feet and b = 1.5 feet

c = sqrt(a^2 + b^2) = sqrt((7 feet)^2 + (1.5 feet)^2) = sqrt(49 + 2.25) = sqrt(51.25) ≈ 7.154 feet

The length of each trim piece is approximately 7.154 feet. Since there are two trim pieces that intersect at the center of the door, the length of the hypotenuse is twice this length:

2 * 7.154 feet ≈ 14.308 feet

Therefore, the length of the diagonal of the door is approximately 14.308 feet. Rounding to the nearest whole number, the answer is 14 feet.

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The number of permutations of the letters in the word indistinguishable such that the strings git, tin, and nab do not appear in the permutation is

3,172,973,824,000

Let A be the set of stages that contain the string "git",

B be the set of changes that contain the string "tin", and

C be the set of stages that contain the string "nab".

We need to discover the number of stages that don't contain any of these strings, which is the same as finding the measure of the set (A∪B∪C)'.

Utilizing the guideline of inclusion-exclusion, we have:

|A∪B∪C| = |A| + |B| + |C| - |A∩B| - |A∩C| - |B∩C| + |A∩B∩C|

We need to discover |(A∪B∪C)'|, which is the complement of the set A∪B∪C. In this manner:

|(A∪B∪C)'| = n! - |A∪B∪C|

Now we have to discover the measure of the sets A, B, and C, and their convergences.

For set A, able to settle the string "git" in its put in 3! ways, and after that permute the remaining 14 letters in 14! ways. In this manner, |A| = 3!×14!.

Essentially, we will discover |B| = 3!×14! and |C| = 3!×14!.

For the convergences, we are able to settle the comparing strings in their places and permute the remaining 11 letters in 11! ways. In this manner,

|A∩B| = 2!×11!,

|A∩C| = 2!×11!,

and |B∩C| = 2!×11!.

At long last, we have |A∩B∩C| = 1!×11! since we are able to settle all three strings in their places and permute the remaining 11 letters in 11! ways.

Substituting these values into the inclusion-exclusion equation, we get:

|A∪B∪C| = 3(3!×14!) - 3(2!×11!) + 1!×11!

|A∪B∪C| = 13608000

Subsequently:

|(A∪B∪C)'| = 17! - 13608000

|(A∪B∪C)'| = 3172973824000

So there are 3,172,973,824,000 permutations of the letters within the word "indistinguishable" such that the strings "git", "tin", and "nab" don't show up within the stage. 

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The percentage of students at the school who describe their parents or guardians as "strict" is the key statistic. 2. A sample survey is the ideal research design for this project.

Since it would be impractical to poll all 1000 kids at the school, the students intend to collect data from a sample of students in order to concentrate on the strict guardians, which is a population parameter.

The sample proportion could be used by the students as a statistic to determine this population proportion. They can ask a sample of pupils drawn at random from the school whether they think their parents or guardians are "strict". The percentage of sample kids who respond "yes" can be used to approximate the percentage of school-wide students who view their parents or guardians as "strict". A statistic that offers an estimate of the population parameter of interest is the sample proportion.

Random sampling would be a suitable technique for generating a sample of 100 pupils. Each kid in the school might be given a number, and the pupils could then use a random number generator to choose 100 numbers from the list. The chosen students might then be contacted and asked to take part in the study. This technique lessens the possibility of bias in the sample selection process and aids in ensuring that the sample is representative of the population.

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Answer:

A

Step-by-step explanation:

it cant be 9 per hour cuz it is a smaller amount and A is the only one that makes sens

Answer: parabolic curve

Step-by-step explanation:

Answer: parabolic curve

Step-by-step explanation:

Answer:

840 feet

Step-by-step explanation:

1 yard = 3 feet

280 yards = x

x = 280 × 3

x = 840 feet

Answer:

x < 1.175

Step-by-step explanation:

-0.4x + 1.27 > 0.8

-0.4x > -0.47

x < 1.175

Answer: 2:4

Step-by-step explanation:

Answer:3

Step-by-step explanation:

1+2=3

the first thing that you're supposed to do is multiply all the given measurements as we know that volume is equal to length times with times height so you have to multiply all the three given measurements the answer that you get after multiplying those three given measurements you have to round your answer to the nearest two decimal places therefore after they'll call my they need to be two numbers just after the coma

Answer:

Each student will have passed 17 tests; It will take 3 weeks.

Step-by-step explanation:

The explanation is in the picture.

The error in the proportion is the second line should be 2x + 18 = 3x making the final answer 18 = x

The error in the solution of the proportion shown can be calculated as follows:

Therefore, let's solve the equation to know the error made.

2 / 3 = x / x + 9

cross multiply

2(x + 9) = 3x

open the brackets

2x + 18 = 3x

subtract 2x from both sides of the equation

2x + 18 = 3x

2x - 2x + 18 = 3x - 2x

x = 18

Therefore, he made mistake in the second line, it should be  2x + 18 = 3x making the final answer 18 = x

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The function after each transformation is given as follows:

1. Reflected across the x-axis: f(x) = -|x + 3| + 7.

2. Translated left 4 units: f(x) = |x + 7| - 7.

3. Translated down 3 units: f(x) = |x + 3| - 10

The function for this problem is defined as follows:

f(x) = |x + 3| - 7.

When the function is reflected across the x-axis, we have that the entire function is multiplied by -1, hence:

f(x) = -(|x + 3| - 7)

f(x) = -|x + 3| + 7.

When the function is translated left 4 units, we have that x -> x + 4, hence:

f(x) = |x + 4 + 3| - 7

f(x) = |x + 7| - 7.

When the function is translated down 3 units, we have that f(x) -> f(x) - 3, hence:

f(x) = |x + 3| - 7 - 3

f(x) = |x + 3| - 10

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Answer:

1.5

Step-by-step explanation:

Move the decimal point two places to the left to go from a percentage to a decimal.

Mrs. Dundee will make more from the second publisher than from the first if she sells more than $25,000 worth of books.

In mathematics, rate is a measure of the change in one quantity with respect to another quantity. It is typically expressed as a ratio between the two quantities.

Let's represent the number of books sold as "x". Then, the total amount of money that Mrs. Dundee will make from the first publisher is:

Total from first publisher = $80,000 + ($3 x x) = $3x + $80,000

Similarly, the total amount of money that she will make from the second publisher is:

Total from second publisher = $30,000 + ($5 x x) = $5x + $30,000

We want to find the range of values of x for which the total amount from the second publisher is greater than the total amount from the first publisher. In other words, we want to find the range of values of x for which,

$5x + $30,000 > $3x + $80,000

Simplifying this inequality, we get:

$2x > $50,000

x > $25,000

Therefore, Mrs. Dundee will make more from the second publisher than from the first if she sells more than $25,000 worth of books.

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For the function f to be linear, the number that should be written in the penultimate line of the script should be 0 because a linear function has a constant slope and no term with a power higher than 1.

In the general form of a linear function

y = mx + b

where m is the slope and b is the y-intercept.

Since the function f is defined as

f(x) = x² + mx + b

we can see that it is a quadratic function.

Therefore, to make it linear, we need to eliminate the x² term.

To eliminate the x² term, we can set the coefficient of x² to 0. Since the coefficient of x² is 1, we can subtract x² from both sides of the equation

f(x) = x² + mx + b

f(x) - x² = mx + b

Now, we have a linear function since the term with x² has been eliminated. Thus, the number that should be written in the penultimate line of the script is 0, which will make the coefficient of x² equal to 0 and eliminate the quadratic term.

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Answer:

£78.75

Step-by-step explanation:

An easy way step but longer way to do this is

10% of 75 is 7.5 ((75/10= 7.5))

divide by 2 on both sides

5% = 3.75

then just add it, its increasing 75 by 5%

so 75 + 3.75 = 78.75

The expression[tex](2x^3y)(3x^4y^2)[/tex] simplifies to [tex]6x^7y^3[/tex]. The coefficients are multiplied, and the variables are combined by adding their exponents. Option C.

To simplify the expression [tex](2x^3y)(3x^4y^2),[/tex] we can multiply the coefficients and combine the variables with the same base by adding their exponents.

Multiplying the coefficients, we have:

2 * 3 = 6

For the variables, we multiply the x terms by adding their exponents (3 + 4 = 7), and the y terms by adding their exponents (1 + 2 = 3).

Therefore, simplifying the expression [tex](2x^3y)(3x^4y^2)[/tex] gives us:

[tex]6x^7y^3[/tex]

Hence, the simplified form of[tex](2x^3y)(3x^4y^2)[/tex] is[tex]6x^7y^3[/tex]. Option c is correct.

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Answer:

C:6x7y3

Step-by-step explanation:

i took the test and got it right

The perimeter of the rectangle is 72 cm.

Perimeter is the total distance around the boundary of a two-dimensional shape. It is the sum of the lengths of all sides or edges of the shape.

The perimeter is usually measured in units such as centimeters (cm), meters (m), feet (ft), or inches (in), depending on the unit of measurement used for the sides or edges.

Let's start by assigning variables to the length and width of the rectangle.

Let x be the width of the rectangle in cm.

Then, the length of the rectangle is double the width, which is 2x cm.

We know that the area of the rectangle is 288 cm², so we can set up an equation:

Area = Length x Width

288 = 2x * x

Simplifying the equation, we get:

288 = 2x²

Dividing both sides by 2, we get:

144 = x²

Taking the square root of both sides, we get:

x = ± 12

Since x cannot be negative (as it represents a length), we take x = 12 cm as the width of the rectangle.

The length of the rectangle is 2x, which is 24 cm.

Now we can find the perimeter of the rectangle, which is given by the formula:

Perimeter = 2(Length + Width)

Substituting the values we found, we get:

Perimeter = 2(24 + 12) = 72 cm

Therefore, the perimeter of the rectangle is 72 cm.

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The nth term of the sequence as:  an =  {  4 (n - 1) if n is odd

1 if n is even and n ≠ 4   8/2n when n = 4

An arithmetic progression is a list of numbers where each term is obtained by adding a specific number to the previous term, except for the first term. The following formulas help  solve arithmetic progression problems: AP common difference: d = an - an-1. AP nth term: an = a (n -1)d

Sum of n terms of  AP: Sn = n/2 (2a (n - 1)d)

The given sequence is 4, 5/3, 6/5, 1, 8/9.

 To find the expression for the nth term, we must observe the pattern of the sequence. We  see that the numerators of the series fractions increase by 1 for each term, while the denominators increase by 2 for each term except  the fourth term, which is 1.  Therefore, we can write the nth term of the sequence as:

an =  {  4 (n - 1) if n is odd

1 if n is even and n ≠ 4

8/2n when n = 4

where n is a positive integer representing the position of the term in the sequence.

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a. The probability of exactly two flaws in a 50-yard piece of material is approximately 0.2707.

b. The probability of no more than two flaws in a 50-yard piece of material is approximately 0.6767.

c. The probability of no flaws in a 25-yard piece of material is approximately 0.3679.

To find the probability of exactly two flaws in a 50-yard piece of material, we can use the Poisson distribution. Let λ be the average number of flaws per 50 yards of material, which is 2. Then, the probability of exactly k flaws occurring in a 50-yard piece of material is given by

P(k flaws) = (e^(-λ) × λ^k) / k!

So, for k=2, we have

P(2 flaws) = (e^(-2) × 2^2) / 2! ≈ 0.2707

Therefore, the probability of exactly two flaws in a 50-yard piece of material is approximately 0.2707.

b. To find the probability of no more than two flaws in a 50-yard piece of material, we need to sum the probabilities of having 0, 1, or 2 flaws. So, we have

P(no more than 2 flaws) = P(0 flaws) + P(1 flaw) + P(2 flaws)

We already know P(2 flaws) from part (a). To find P(1 flaw), we can use the same formula as before with λ=2 and k=1

P(1 flaw) = (e^(-2) × 2^1) / 1! ≈ 0.2707

To find P(0 flaws), we use the same formula with λ=2 and k=0

P(0 flaws) = (e^(-2) × 2^0) / 0! ≈ 0.1353

Therefore, we have:

P(no more than 2 flaws) = 0.2707 + 0.2707 + 0.1353 ≈ 0.6767

So, the probability of no more than two flaws in a 50-yard piece of material is approximately 0.6767.

c. To find the probability of no flaws in a 25-yard piece of material, we can again use the Poisson distribution, but with a different value of λ. Since the average number of flaws per 50 yards is 2, the average number of flaws per 25 yards is 1. So, we have:

P(0 flaws) = (e^(-1) × 1^0) / 0! ≈ 0.3679

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The side length of the square that has the given area would be = 1/4

To calculate the side length of a given square the formula for the area of a square should be used. That is;

Area of a square = a²

where;

a = length = ?

area = 1/16

That is = 1/16 = a²

a = √1/16

= 1/4

Therefore the side of the square whose area is given should have the length of 1/4

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