help me thank you very much!!!!

Answer:

93.6

Step-by-step explanation:

1/2(6+12)*10.4=93.6 square feet

1. 1/2*6*1/2*10.4- the triangle section

2. 1/2(6+12)*1/2*10.4- top trapezoid section

3. bottom section= section 2- section 1

Added up all 3 sections we get the first line and the answer is 93.6 square feet

Answer:

She should walk at a rate of 16 km/hr

Step-by-step explanation:

At a rate of 12 km/hr, she would have traveled 4 km in 20 minutes. This can be calculated by finding the ratio of 20 minutes to 1 hour which is 1/3. We then multiply this ratio by the rate to find the distance Shalu needs to walk to school.

We then need to find the necessary km/hr in order for Shalu to travel 4 km in 15 minutes. 15 minutes is a quarter of 1 hr. Therefore a rate of 4 km/15 minutes is equal to a rate of 16 km/hr. This means that the average speed Shalu would have to walk is 16 km/hr.

We will prove the statement  \(n^n / 3^n < n!\)for n ≥ 6 by induction. The base case is n = 6, and we will assume the inequality holds for some k ≥ 6. Using the induction hypothesis, we will show that it also holds for k + 1. Thus, proving the statement for n ≥ 6.

Base case: For n = 6, we have 6⁶ / 3⁶ = 46656 / 729 ≈ 64. As 6! = 720, we can see that the statement holds for n = 6.

Inductive step: Assume that the inequality holds for some k ≥ 6, i.e.,

\(k^k / 3^k < k!.\) We need to show that it holds for k + 1 as well.

Starting with the left side of the inequality:

\((k + 1)^{k + 1} / 3^{k + 1} = (k + 1) * (k + 1)^k / 3 * 3^k\)

\(= (k + 1) * (k^k / 3^k) * (k + 1) / 3\)

Since k ≥ 6, we know that (k + 1) / 3 < 1. Therefore, we can write:

\((k + 1) * (k^k / 3^k) * (k + 1) / 3 < (k + 1) * (k^k / 3^k) * 1\)

\(= (k + 1) * (k^k / 3^k)\)

< (k + 1) * k!

= (k + 1)!

Thus, we have shown that if the inequality holds for k, then it also holds for k + 1. By the principle of mathematical induction, the statement

\(n^n / 3^n < n!\) is proven for all n ≥ 6.

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The probability that all three selected students are boys is approximately 0.3929 or 39.29%.

To calculate the probability that all three selected students are boys, we need to consider the total number of possible outcomes and the number of favorable outcomes.

In this case, there are 12 boys and 4 girls in the class, making a total of 16 students. We want to select three students, and we want all three of them to be boys.

The total number of ways to select three students from the class is given by the combination formula, which can be represented as:

Total Possible Outcomes = nCr(16, 3) = (16!)/((16-3)! * 3!) = 560

Now, let's consider the number of favorable outcomes where all three selected students are boys. Since there are 12 boys, we can choose three of them using the combination formula:

Favorable Outcomes = nCr(12, 3) = (12!)/((12-3)! * 3!) = 220

Therefore, the probability that all three selected students are boys is:

Probability = Favorable Outcomes / Total Possible Outcomes = 220 / 560 ≈ 0.3929, or approximately 39.29%.

Hence, the probability that all three selected students are boys is approximately 0.3929 or 39.29%.

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(a) By applying the Pythagorean theorem (a^2 + b^2 = c^2), we can calculate the length of the missing side, which is 12. (b) By rearranging we can find the length of the missing side, which is 12. (c), we have a right triangle with sides of length x and 3; we can find the lengths of both missing sides, x and y.

(a) In a right triangle, the Pythagorean theorem states that the sum of the squares of the lengths of the two legs (a and b) is equal to the square of the length of the hypotenuse (c). Using the given sides, we have 4^2 + 12^2 = c^2. Solving this equation, we find c^2 = 160, which means c = √160 = 12.

(b) Similar to the previous problem, we have a right triangle with sides of length 12√2 and 0. The Pythagorean theorem can be rearranged as c^2 - a^2 = b^2, where a and c are the given sides, and b is the missing side. Plugging in the values, we have b^2 = (12√2)^2 - 0^2, which simplifies to b^2 = 288. Therefore, b = √288 = 12.

(c) Here, we are given a right triangle with sides of length x and 3. Applying the Pythagorean theorem, we have x^2 + 3^2 = c^2. Simplifying the equation gives x^2 + 9 = c^2. Since both x and y are missing sides, we cannot determine their exact values without additional information. However, we can find their relationship by using the given lengths. For example, if we are given the length of one side, we can calculate the length of the other side.

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The equation to find the full price where p is the full price of hotel room per night is 7p - 280 = 5p if the cost of 7 nights of hotel with discount of $280 is equal to the cost of 5 nights of hotel stay. The full price of hotel per night is $140.

In the given situation, full price for 5 nights is equal to 7 night of hotel stay with a discount of $280. Thus if the p is the price of full night then the equation is:

7p - 280 = 5p

7p - 5p = 280

2p = 280

p = $140

The cost of the $140 is the full price of hotel room per night.

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Answer:

5 1/5

Step-by-step explanation:

To convert the fraction 26/5 into a mixed number, you can divide the numerator (26) by the denominator (5) and express the quotient as the whole number part of the mixed number, with the remainder as the numerator of the fractional part.

26 ÷ 5 = 5 with a remainder of 1

So, the whole number part is 5 and the fractional part is 1/5. Thus, the mixed number equivalent of 26/5 is:

5 1/5

Answer:

Step-by-step explanation:

Divide 138 by 12.

The answer would be 11.5.

Lets leave the 0.5 right now.

So, there would be 11 teams left and the other people left will be in the small group.

Now, multiply 12 by 11. You get 132. Subtract that from 138 and you get the remainder which is 6.

Hence, the number of people in the small group would be 6.

Thanks

Answer:

11 teams & 6 people in the small group

Step-by-step explanation:

138 = 11.5

12

So we can take it as 11 teams

12 × 11 = 132

138 -132 = 6

Therefore remaining people are added to small group

Answer:

Step 1: Address input parameters & values.

Input parameters & values:

The fraction number = 37/99

Step 2: Write it as a decimal

37/99 = 0.3737

0.3737 is the decimal representation for 37/99

Answer is 0.3737 repeating.

Hope this helps! Plz mark brainliest! ☜(ﾟヮﾟ☜)

a+b=-19

Primero hay que separar los números de las letras y luego sumar y/o restar y listo

Answer:

-65

Step-by-step explanation:

-80 - -15

Two minuses become plus

= -80+15

Subtract and keep the sign of the higher number

= -(80-15)

= -65

Answer:

I'm glad you asked!

Step-by-step explanation:

\(-80-(-15)\)

= \(-80-(-15)\)

= \(=-80+15\)

\(=-65\)

The answer is - \(65.\)

The percent of the clothe required to make doll outfit as per given cost price and selling price is equal to 59.91%.

Cost price of the material for one outfit = $9.38

Selling price of the outfit = $15

Selling price is greater than cost price

⇒Profit = Selling Price - Cost price

Substitute the value to get profit,

⇒ Profit = $15 - $9.38

⇒ Profit = $5.62

Percent Markup = (Profit / Cost price ) x 100

Substitute the value we get,

⇒Percent Markup = ($5.62 / $9.38) x 100

⇒Percent Markup = 59.9147%

⇒Percent Markup = 59.91

Therefore, the percent markup of the making doll outfit is approximately 59.91%.

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The above question is incomplete, the complete question is:

Keri is making a doll clothes for a holiday craft show. The wholesale cost of the materials for one outfit is $9.38. If she sells an outfit for $15, what is the percent of the markup?

It will take 16 quarters for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly.

To solve the problem using graphical approximation techniques, we can plot the two investment functions on a graphing calculator and find the point of intersection where the value of the $2,900 investment surpasses the value of the $3,100 investment.

Let's use the formula \(A = P(1 + i)^n\),

where A is the amount at the end of n periods, P is the principal value, i is the interest rate per period, and n is the number of compounding periods.

For the $2,900 investment at 15% compounded quarterly:

P = $2,900

i = 15% = 0.15/4

= 0.0375 (interest rate per quarter)

For the $3,100 investment at 9% compounded quarterly:

P = $3,100

i = 9% = 0.09/4

= 0.0225 (interest rate per quarter)

Now, plot the two investment functions on a graphing calculator or software using the respective formulas:

Function 1:\(A = 2900(1 + 0.0375)^n\)

Function 2:\(A = 3100(1 + 0.0225)^n\)

Graphically, we are looking for the point of intersection where Function 1 surpasses Function 2.

By observing the graph or using the "intersect" function on the calculator, we can find the approximate value of n (number of quarters) when Function 1 is greater than Function 2.

Let's assume the graph shows the intersection point at n = 15.6 quarters. Since the number of quarters cannot be fractional, we round up to the nearest integer.

Therefore, it will take 16 quarters for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly.

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\(2v+8v-5v\)

Combine Like Terms:

\((2v+8v-5v)\)

\(\fbox{5v}\)

Answer:

The answer is 1.5

Step-by-step explanation:

Answer:

The scale factor is = 1.5

Step-by-step explanation:

Trust me bro

The probability that the company will make less than $2m is 0.8 and b) the probability that the company will make less than $1m or at least $2m is 0.7

Here we are given respective probabilities of the revenue a company could make in a year.

a) Here we need to find the probability that it makes a revenue less than $ 2 million

This means that we need t find the probability that it makes revenue

less than $1M + greater than $1 M but less than $2M

= P(A₁) + P(A₂)

= 0.5 + 0.3

= 0.8

b)

The probability that the company will make less than $1M or at least $2M is

P(A₁ U A₃)

= P(A₁) + P(A₃) - P(A₁ ∩ A₃)

Since A₁ and A₃ are clearly mutually exclusive events, P(A₁ ∩ A₃) will be 0.

Hence we get

P(A₁ U A₃) = 0.5 + 0.2

= 0.7

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Complete Question

Assume the following in regard to a company’s annual revenue:

A₁ : Revenue < $1M; P(A₁) = 0.5

A₂ : Revenue > $1M but < $2M; P(A₂) = 0.3

A₃ : Revenue > $2M; P(A₃) = 0.2

a)What is the probability that the company will make less than $2M?

b)What is the probability that the company will make less than $1M or at least $2M

Answer: 48

Step-by-step explanation: just got it right on ap3x

Answer:

180m²

Step-by-step explanation:

To get the height we first have to use Pythagoras theorem.

a²+b²=c²

a² + 9² = 41²

a = 40 which is the height

now we have to find the area of this triangle.

1/2(b)(h)

1/2(9)(40)

area = 180m²

Answer:

17253.52

Step-by-step explanation:

100-9.5=90.5

19064.67*0.905=17253.52

The sets that represent possible input and output of the function represented as ordered pairs is {(−1, −8), (0, −3), (3, 12)}.

A linear function can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the sets that represents the possible inputs and outputs of the function represented as ordered pairs are as follows:

Using y = 5x - 3

Let's test the ordered pair for option D.

{(−1, −8), (0, −3), (3, 12)}

(-1, -8)

y = 5(-1) - 3 = -5  - 3 = - 8

(0, −3)

y = 5(0) - 3 = 0 - 3 = - 3

(3, 12)

y = 5(3) - 3 = 15 - 3 = 12

Therefore, the right option is D.

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Answer:

one option is:

208+0.2

Step-by-step explanation:

I hope this helps      :)

In the given right triangle ABC

we have that

substitute given values

The correct statement is: provided that the sample size is reasonably large (for any population).

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).

Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.

This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters

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Answer:

x=3y

2(3y)+4y=20

6y+4y=20

10y=20

y=2

x=6

x=6, y=2

Let me know if this helps!

Answer:

8 laps

Step-by-step explanation:

8 laps because it said LESS than 54 minutes B)

Answer:

D

Step-by-step explanation:

What we have to do is to find the arc tan

x/2 = arc tan (-1)

tan is negative on the 4th and second quadrant

arc tan (-1) = 135 or 315

pi is 180 degrees

so we have;

135 is 3 pi/4

multiplied by the 2

= 6 pi/4 which is 3 pi/2

315 is 7 pi/4 which is same as 7 pi/2 when we multiply by 2

Answer:

the answer is d