URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

Given that a country in Africa is trying to restore its giraffe population and is carefully keeping track of how many giraffes are in the area. To do so, local wildlife authorities put tags on 20 giraffes and release them. Later, they corral 570 giraffes; among these giraffes, 15 are tagged. So, the best estimate for the giraffe population is 760.

Now, we need to find the best estimate for the giraffe population.To find the estimated number of giraffes, we can use the concept of proportion.

Here, we can create the proportion of the number of tagged giraffes to the total number of giraffes as follows:20/x = 15/570where x is the estimated number of giraffes in the area.

Cross multiply the above equation to obtain: x × 15 = 20 × 570x = (20 × 570) / 15= 760Approximately 760 giraffes are estimated to be in the area.Answer: The best estimate for the giraffe population is 760.

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The length of arc WK is given as follows:

WK = 141.856 m.

We consider a triangle with side lengths and angles related as follows:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

Due to the diameter of 212 m, the radius is of 106 m, hence:

WG = GK = 106.

We have an isosceles triangle, and the sum of the internal angles of a triangle is of 180º, hence the bottom angles are given as follows:

2x + 84 = 180

2x = 96

x = 48º.

Hence the relation to obtain the length of arc WK is given as follows:

sin(84º)/WK = sin(48º)/106

WK = 106 x sine of 84 degrees/sine of 48 degrees

WK = 141.856 m.

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Therefore, the constant of variation for this seesaw is 70/x, where x is the weight of the other child in pounds.

To find the constant of variation for the seesaw, we need to use the formula for direct variation which is y = kx, where y is the weight on one side of the seesaw, x is the weight on the other side of the seesaw, and k is the constant of variation.

We can use the weight of the daughter, which is 70 pounds, and the weight of the other child, which we do not know, as our x and y values.

Let the weight of the other child be x pounds. Then we can set up the equation as follows:

70 = kx

To solve for k, we need to isolate it on one side of the equation.

We can do this by dividing both sides by

x:70/x = k

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The cost of the pass is approximately $26, the cost of the souvenir is approximately $19.50, and the cost of the burger is approximately $3.25.

Let's break down the problem step by step:

Let's assume the cost of the pass is x dollars.

The cost of the souvenir:

The souvenir cost is 3/4 of the pass, which is (3/4) × x = (3x/4) dollars.

The cost of the burger:

The burger cost is 1/6 of the souvenir, which is (1/6) × (3x/4) = (x/8) dollars.

Total cost of the items:

The total cost of the items is the sum of the pass, souvenir, and burger costs:

x + (3x/4) + (x/8) = (8x + 6x + x)/8

= (15x/8) dollars.

Remaining amount:

Kent had $1.50 left over, so the remaining amount is $1.50 = 1.5 dollars.

Set up the equation:

The remaining amount should be the initial amount minus the total cost:

$50.25 - (15x/8) = 1.5.

Solve the equation:

$50.25 - (15x/8) = 1.5

15x/8 = $50.25 - $1.5

15x/8 = $48.75.

Multiplying both sides by 8 to eliminate the fraction:

15x = 8 × $48.75

15x = $390.

Dividing both sides by 15 to solve for 'x':

x = $390 / 15

x ≈ $26.

Calculate the cost of each item:

Pass: x ≈ $26.

Souvenir:

(3x/4) ≈ (3 × $26/4)

≈ $19.50.

Burger:

(x/8) ≈ ($26/8)

≈ $3.25.

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The Probability that none of the compressors in a sample of 7 are defective is (9/16)^7.

1. To find the probability that all compressors in a sample of 7 are defective, we need to calculate the probability of selecting a defective compressor for each pick and multiply them together.

In this case, there are 7 defective compressors in a shipment of 16. So, for the first pick, the probability of selecting a defective compressor is 7/16. Since there are no replacements (each pick is independent), for the second pick, the probability remains the same: 7/16. We continue this process for all 7 picks.

P(all defective) = (7/16) * (7/16) * (7/16) * (7/16) * (7/16) * (7/16) * (7/16) = (7/16)^7

Therefore, the probability that all compressors in a sample of 7 are defective is (7/16)^7.

2. To find the probability that none of the compressors in a sample of 7 are defective, we need to calculate the probability of selecting a non-defective compressor for each pick and multiply them together.

In this case, there are 9 non-defective compressors in a shipment of 16. So, for the first pick, the probability of selecting a non-defective compressor is 9/16. Since there are no replacements, for the second pick, the probability remains the same: 9/16. We continue this process for all 7 picks.

P(none defective) = (9/16) * (9/16) * (9/16) * (9/16) * (9/16) * (9/16) * (9/16) = (9/16)^7

Therefore, the probability that none of the compressors in a sample of 7 are defective is (9/16)^7.

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The label given to the original cost of buying and installing the existing floor coverings in the analysis used in deciding whether to do the remodel is called sunk cost. Sunk cost refers to a cost that has already been incurred and cannot be recovered, regardless of the decision made.

In this case, the cost of buying and installing the existing floor coverings is a sunk cost because it has already been paid for and cannot be recovered even if the remodel is not done.

When considering whether to do the remodel, Lovelace should not take the sunk cost into account as it is irrelevant to the decision-making process.

Instead, Lovelace should focus on the potential benefits and costs of the remodel, including the increased daily rental fees that may result from the remodel and the cost of removing and replacing all the existing floor coverings.

By analyzing the incremental costs and benefits of the remodel, Lovelace can make an informed decision that maximizes its profits and enhances the overall value of its luxury resort rental property.

In conclusion, when analyzing the potential benefits and costs of a remodel, it is essential to consider the sunk cost associated with the existing floor coverings. By understanding the concept of sunk cost, Lovelace can make a rational decision that considers only the relevant costs and benefits of the remodel.

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*Answer*

15:47

Step-by-step explanation:

He left; 15:03

Walk for; 12mins

Spends extra;4min

So by my side,

I'll sum up those values we're having to find the total time that was spent

12+4= 16mins

So, at that time when he reached at the station it was 15:19 when we add those extra mins

And so I think it'll 15:47

My thought told me so though

Where the above graph is given,  the correct answer is g(x) = (x + 9)².

Based on the information given,the function g(x)   is the translation of f(x) to the left by 2 units.

Since the vertex of f(x ) is at (-7, 0),the   vertex of g (x) will be at (- 7 - 2, 0), which simplifies to (- 9, 0).

 Therefore,the correct   answer is g(x) = (x + 9)². See the attached graph.

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1. The length of side AC is 21.5 units.

2. The magnitude of ∠R is 36.9°

3. The length of side ML is 7.5 units.

3. The length of side JK is 8.5 units.

In order to determine the length of side AC, we would apply sine trigonometric ratio because the given side lengths represent the opposite side and hypotenuse of a right-angled triangle;

sin(θ) = Opp/Hyp

Where:

By substituting the given side lengths, we have:

sin(34) = 12/x

x = 12/sin(34)

x = 21.5 units.

Question 2.

For the magnitude of ∠R, we have:

TanR = opposite side/adjacent side

TanR = 6/8

∠R = tan⁻¹(0.75)

∠R = 36.9°.

Question 3.

For side length ML, we have the following:

Tan28 = 4/ML

ML = 4/tan28

ML = 7.5 units.

Question 4.

For side length JK, we have the following:

cos(θ) = Adjacent side/Hypotenuse

cos(58) = JK/16

JK = 16cos(58)

JK = 8.5 units.

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Step-by-step explanation:

Because straight lines (that are not the 'same line') can have at most, only one point of intersection...the unique solution.

Answer:

no it not have a unique solution.

Answer:

The sum of their ages is 29, which we can express as the equation:

P + (P - 11) = 29

Simplifying the equation:

2P - 11 = 29

Adding 11 to both sides:

2P = 40

Dividing both sides by 2:

P = 20

Therefore, Pete's age, represented by "P," is 20 years old.

According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

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1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, the amount paid for the month of June is approximately $252.75, and the amount paid for the entire year is approximately $6,144.

To calculate the amount paid for the month and the year, we need to consider the number of days covered by the insurance policy. Let's break it down step by step:

Step 1: Determine the number of days covered in June.

Since the policy doesn't go into effect until June 16th, there are 15 days remaining in June that will be covered by the insurance policy.

Step 2: Calculate the daily rate.

To find the daily rate, we divide the total cost of the insurance policy by the number of days in a year:

Daily rate = 6,144 / 365

Step 3: Calculate the amount paid for June.

The amount paid for June can be found by multiplying the daily rate by the number of days covered:

Amount paid for June = Daily rate * Number of days covered in June

Step 4: Calculate the amount paid for the year.

To calculate the amount paid for the year, we simply multiply the daily rate by 365 (the total number of days in a year):

Amount paid for the year = Daily rate * 365

Now let's perform the calculations:

Step 2: Daily rate

Daily rate = 6,144 / 365 ≈ 16.85 (rounded to two decimal places)

Step 3: Amount paid for June

Amount paid for June = 16.85 * 15 ≈ 252.75 (rounded to two decimal places)

Step 4: Amount paid for the year

Amount paid for the year = 16.85 * 365 ≈ 6,144 (rounded to two decimal places)

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The point (2, 5) is a solution to the system of equations:

y = -x/2 + 6

y = 3x - 1

To determine which system of equations the point (2, 5) is a solution to, we can substitute the values of x and y into each equation and check if they satisfy the equations.

Let's substitute (2, 5) into each system of equations:

1. y = x - 8:

Substituting x = 2 and y = 5:

5 = 2 - 8

This equation is not satisfied.

2x + y = 7:

Substituting x = 2 and y = 5:

2(2) + 5 = 7

4 + 5 = 7

This equation is not satisfied.

2. y = x + 2:

Substituting x = 2 and y = 5:

5 = 2 + 2

5 = 4

This equation is not satisfied.

y = x + 5:

Substituting x = 2 and y = 5:

5 = 2 + 5

5 = 7

This equation is not satisfied.

3. y = -x/2 + 6:

Substituting x = 2 and y = 5:

5 = -(2)/2 + 6

5 = -1 + 6

5 = 5

This equation is satisfied.

y = 3x - 1:

Substituting x = 2 and y = 5:

5 = 3(2) - 1

5 = 6 - 1

5 = 5

This equation is satisfied.

4. y = 2x/3 + 6:

Substituting x = 2 and y = 5:

5 = 2(2)/3 + 6

5 = 4/3 + 6

This equation is not satisfied.

3y + 6x - 18 = 0:

Substituting x = 2 and y = 5:

3(5) + 6(2) - 18 = 0

15 + 12 - 18 = 0

27 - 18 = 0

9 = 0

This equation is not satisfied.

From the above calculations, we can see that the point (2, 5) is a solution to the system of equations:

y = -x/2 + 6

y = 3x - 1

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The number of elements in the Q complement set, n(Q') is 7

From the question, we are to determine the number of elements that are in the given set.

To find n(Q'),

First, we will determine the elements in Q'

NOTE: Q' means Q complement, that is, the elements that are present in the universal set but not in Q

The universal set is

ξ = {numbers between 3 and 19}

That is,

ξ = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}

From the given information,

Q = {3, 5, 6, 7, 9, 10, 12, 13, 17, 18}

Therefore,

Q' = {4, 8, 11, 14, 15, 16, 19}

The value of n(Q') is the number of elements in the q' set

That is,

n(Q') = 7

Hence, n(Q') = 7

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h = 0.5d + 35, shows the total amount of hours h, Julia exercised last year if she exercised d days the rest of the year.

Given,

Last year, Julia had already exercised 35 hours prior to May 1.

After that she exercised on some days during the rest of the year.

So,

Number of hours Julia has already exercised before may 1 = 35 hours.

For rest of the years Julia exercised on some days = 0.5 hours .

Hence,

The equation that satisfies the given condition of Julia for rest of the years will be,

h = 0.5d + 35

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Answer: 52.8

Step-by-step explanation:

Surface area=

2*the top of the tent or 2*15 or 30

The base, or another 15

And (3*2.6)/2=3.9 and multiply by 2

So:

30+15+3.9+3.9

Or 45+8

Or 52.8

The amount payable on a solicitor’s bill is 258.5.

We are given that;

Solicitors bill = 220 + 17.5% VAT​

Now,

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

To find the amount payable on a solicitor’s bill, we need to add the VAT (value-added tax) to the original amount. VAT is a percentage of the original amount that is charged as a tax. In this case, the VAT rate is 17.5%.

To calculate the VAT amount, we multiply the original amount by the VAT rate and divide by 100. This gives us:

VAT = 220 x 17.5 / 100 VAT = 38.5

To find the total amount payable, we add the VAT amount to the original amount. This gives us:

Total = 220 + 38.5 Total = 258.5

Therefore, by algebra the answer will be 258.5.

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The shape of the distribution is negatively skewed, due to the larger difference of the median and Q1 then of Q3 and the median.

A box and whisker plots shows these five metrics from a data-set, listed and explained as follows:

The left side of the box in this problem is greater than the right side of the box, hence we have a negatively skewed distribution.

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The number of boxes that the librarian would need, given the capacity, would be 5 boxes.

In the given scenario, the librarian is tasked with the responsibility of packing 28 books into boxes. To determine the number of boxes required, we consider that each box has the capacity to hold 6 books.

Dividing the total number of books by the capacity of each box allows us to ascertain the number of complete boxes needed.

The number of boxes needed is therefore :

= 28 / 6

= 4. 66

= 5 boxes

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The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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80 percent of 150 is ​120 .

Given,

Double line diagram

Now ,

Each mark on upper line increases by 30.

Each mark on upper line increases by 20%

Thus the fourth mark is the one which gives the value of percentage as 80.

So,

80% of 150 = 120

Thus both the mark coincides and fourth mark and gives the answer as 80% .

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Then, multiply this result by 100 to get the percentage. In this case, 120 is 80% of 150.

To use a double number line diagram to find what percent 120 is of 150, you need to create a diagram with two parallel lines. On the top line, mark 150 at one end and 100 at the other.

On the bottom line, mark 120 at one end and leave the other end blank. Then, draw diagonal lines connecting 120 on the bottom line to 150 on the top line and 100 on the top line to the blank end of the bottom line.

This creates two triangles. The height of the triangle with 120 is the percentage you're looking for.

To find this percentage, divide the length of the diagonal line connecting 120 and 150 by the length of the diagonal line connecting 100 and the blank end of the bottom line.

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The sum f(x) + g(x) is (x³ + 16x² + 6x - 99) / (x²-9)(x² + 3x) and the type of discontinuity for f(x) at x = ±3 is a removable discontinuity, and for g(x) at x = 0, it is an infinite discontinuity or vertical asymptote.

To find f(x) + g(x), we need to add the two functions together:

f(x) + g(x) = (x+2)/(x²-9) + 11/(x²+3x)

To add these fractions, we need a common denominator.

The common denominator in this case is (x² - 9)(x² + 3x), which is the product of the denominators.

Rewriting the fractions with the common denominator, we have:

f(x) + g(x) = [(x+2)(x² + 3x)]/[(x²-9)(x² + 3x)] + [11(x²-9)]/[(x²-9)(x² + 3x)]

Combining the fractions, we have:

f(x) + g(x) = [(x+2)(x² + 3x) + 11(x²-9)]/[(x²-9)(x² + 3x)]

Simplifying the numerator:

[(x+2)(x² + 3x) + 11(x²-9)] = (x³ + 5x² + 6x + 11x² - 99)

= (x³ + 16x² + 6x - 99)

Therefore, the sum f(x) + g(x) is (x³ + 16x² + 6x - 99) / (x²-9)(x² + 3x).

The excluded values for the function f(x) are x = ±3, and for the function g(x), the excluded value is x = 0.

The type of discontinuity for f(x) at x = ±3 is a removable discontinuity, and for g(x) at x = 0, it is an infinite discontinuity or vertical asymptote.

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Answer:

Step-by-step explanation:

The answer is “8”.

hope it helps!

The correct answer is A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.

To determine the amount of sauce and oregano needed to make 8 servings, we can use the ratio of sauce to oregano from the table.

According to the table, for 3 servings, 6 cups of sauce are used along with 1 & 1/2 teaspoons of oregano. We need to find the ratio of sauce to oregano to scale it up for 8 servings.

Ratio of sauce to oregano:

6 cups of sauce / 1 & 1/2 teaspoons of oregano = 6/1.5 = 4 cups of sauce per teaspoon of oregano

Now, for 8 servings, we need to multiply the ratio by the number of teaspoons of oregano required:

8 servings * 1 teaspoon of oregano = 8 teaspoons of oregano

Therefore, for 8 servings, we would need:

8 teaspoons of oregano * 4 cups of sauce per teaspoon of oregano = 32 cups of sauce

Therefore, the correct answer is A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.

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The probability that it is raining if the flight has been delayed is approximately 0.111 or 11.1% when rounded to the nearest thousandth.

To solve this problem, we can use Bayes states:

P(A|B) = (P(B|A) × P(A)) / P(B)

Let's define the events:

A = It is raining

B = The flight has been delayed

Given information:

P(A) = 0.07 (probability that it will rain)

P(B) = 0.18 (probability that the flight will be delayed)

P(~A ∩ ~B) = 0.8 (probability that it will not rain and the flight will leave on time)

We want to find P(A|B), the probability that it is raining if the flight has been delayed.

To calculate P(B|A), the probability that the flight is delayed given that it is raining, we can use the formula for conditional probability:

P(B|A) = P(A ∩ B) / P(A)

From the given information, we can see that P(A ∩ B) is not directly given. However, we can use the complement rule to rewrite P(A ∩ B) as:

P(A ∩ B) = 1 - P(~A ∩ ~B)

Substituting the values, we get:

P(A ∩ B) = 1 - 0.8

= 0.2

Now, we can calculate P(B|A):

P(B|A) = (P(A ∩ B)) / P(A)

= 0.2 / 0.07

≈ 2.857

Finally, we can use Bayes to calculate P(A|B):

P(A|B) = (P(B|A) × P(A)) / P(B)

= (2.857 × 0.07) / 0.18

≈ 1.112

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Answer: he will be 14

Step-by-step explanation:

Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))

1. The unknown in the 'x- mean' column are 2 and -8

2. The unknown in the '(x-mean)²' square column is

25 and 106

A frequency table is simply a “t-chart” or two-column table which outlines the various possible outcomes and the associated frequencies observed in a sample.

A mean in math is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers.

1. X - mean = 13 - 11 =2

X - mean = 3 -11 = -8

2. (X - mean)² = 5²

= 25

The total value of (x-mean)²

= 9+ 4+25+4+4+64

= 13 +25 + 8 +64

= 106

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The binomial theorem states that: [tex](x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k[/tex]. So, the binomial expansion of (2x - 3y)⁵ is: [tex]32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5[/tex].

Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]

Term k = 0: [tex] {5 \choose 0} (2x)^5 (-3y)^0[/tex] = 32x⁵

Term k = 1: [tex]{5 \choose 1} (2x)^4 (-3y)^1[/tex] = -240x⁴y

Term k = 2: [tex]{5 \choose 2} (2x)^3 (-3y)^2[/tex] = 720x³y²

Term k = 3: [tex]{5 \choose 3} (2x)^2 (-3y)^3[/tex] = -1080x²y³

Term k = 4: [tex]{5 \choose 4} (2x)^1 (-3y)^4[/tex] = 810xy⁴

Term k = 5: [tex]{5 \choose 5} (2x)^0 (-3y)^5[/tex] = -243y⁵

Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:[tex](2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5[/tex]

Therefore, the binomial expansion of (2x - 3y)⁵ is: [tex]32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5[/tex].

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