What is 3 to the 3rd power

Answer:

[tex](11\frac{1}{3},20)[/tex]

Step-by-step explanation:

If the Number of Sales of x units, N(x) is defined by the function:

[tex]N(x)=-5x^3+235x^2-3400x+20000,10\leq x\leq 40[/tex]

[tex]N'(x)=-15x^2+470x-3400\\When -15x^2+470x-3400=0\\x=20, x=11\frac{1}{3}[/tex]

Next, we text the critical points and the end points of the interval to see where the derivative is increasing.

[tex]N'(10)=-200\\N'(11\frac{1}{3})=0\\N'(19)=115\\N'(20)=0\\N'(40)=-8600[/tex]

Thus, the rate of change of sales [tex]N'(x)[/tex] is increasing in the interval [tex](11\frac{1}{3},20)[/tex] on 10≤x≤40.

The rate of change is how much the company sales changes after spending

The rate of change increases at: (10, 20)

The function is given as:

[tex]\mathbf{f(x) = -5x^3 +235x^2 - 3400x + 20000}[/tex]

Differentiate, to calculate the rate of change

[tex]\mathbf{f'(x) = -15x^2 +470x- 3400}[/tex]

Set to 0

[tex]\mathbf{ -15x^2 +470x- 3400 = 0}[/tex]

Divide through by 5

[tex]\mathbf{ -3x^2 +94x- 680 = 0}[/tex]

Using a calculator, we have:

[tex]\mathbf{x = \{20,11.3\}}[/tex]

The domain is given as: [tex]\mathbf{10 \le x \le 40}[/tex]

When x = 10, we have:

[tex]\mathbf{f'(10) = -15(10)^2 +470(10)- 3400 = -200}[/tex]

When x = 11.3, we have:

[tex]\mathbf{f'(11.3) = -15(11.3)^2 +470(11.3)- 3400 = -4.35}[/tex]

When x = 20, we have:

[tex]\mathbf{f'(20) = -15(20)^2 +470(20)- 3400 = 0}[/tex]

When x = 40, we have:

[tex]\mathbf{f'(40) = -15(40)^2 +470(40)- 3400 = -8600}[/tex]

The value of f'(x) increases at x = 10 to 20.

Hence, the rate of change increases at: (10, 20)

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Answer:

4.3%

Step-by-step explanation:

[tex]selling \: percent \\ = \frac{6}{140} \times 100 \\ \\ = \frac{60}{14} \\ \\ = 4.28 \\ = 4.3\% \\ [/tex]

As per linear equation, 4.3% of tickets are sold of the goal.

"A linear equation is an equation in which the highest power of the variable is always 1."

Given, a local charity has sold 6 raffle tickets.

The goal of selling tickets is 140.

Therefore, the percentage of sold tickets is

[tex]= \frac{6}{140}[/tex] ×100%

[tex]= 4.3[/tex]%

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Step-by-step explanation:

14 : 10 : 4

Divide it by 2

7 : 5 : 2

This is the simplest form because it cannot be divided further

Answer:

(x+3) (x-6) = 0

Step-by-step explanation:

A quadratic equation is in the form of ax²+bx+c. The quadratic function whose zeros are 3 and -6 is (x² + 3x - 18).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Given that the quadratic function whose zeros are 3 and -6. Therefore, the  quadratic function can be written as,

(x-3)(x+6)

= x² + 6x - 3x -18

= x² + 3x - 18

Hence, the quadratic function whose zeros are 3 and -6 is (x² + 3x - 18).

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Answer:

a tangent is never a secant

Step-by-step explanation:

the secant is in the circle

please like and Mark as brainliest

The correct statement is A: 'A tangent is never a secant.' because it accurately describes that a tangent only touches the circle at one point and does not cross the circle's interior unlike a secant.

The question you've asked pertains to the geometric definitions of a tangent, secant, chord, and diameter in relation to a circle. Reviewing the options provided:

Given these explanations, the best answer from the choices provided is in fact option A.

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Answer:

We need to find the unit rates for the fruit. To do this, divide the cost by the number of pounds

Grapefruit:

cost/pounds

$3/6 pounds

3/6=0.5

0.5 per pound

Apples:

cost/pounds

$2.65/5 pounds

2.65/5=0.53

0.53 per pound

Answer:

is there any measurements included?

Step-by-step explanation:

The question mainly discusses the artistic attributes and historical aspects of a sculpture, including descriptions of paint used, rather than providing information needed to calculate the area painted.

The question provided does not directly relate to computing the area painted as it mostly describes the artistic characteristics and historical context of a sculpture. It talks about the sculpture's features, color schemes used for painting such as black hair, red and blue dress with a yellow belt, and the use of paint on the sculpture's body and face.

To calculate the area painted, one would ideally need the dimensions of each face of the model or sculpture to sum up their areas if it were a geometric problem in Mathematics. However, the question mainly focuses on the art critique, interpretation, and visual description of the sculpture, highlighting its historical significance and the artistic techniques employed.

Answer:

44

Step-by-step explanation:

The frequency has the most flights from the airlines is C. Yellow jet, going east.

The frequency table is a table that's used to illustrate the data that's given.

In this case, the frequency has the most flights from the airlines will be Yellow jet, going east. This is because most people are going in that direction.

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The joint frequency with the most flights is yellow jets going east.

Option C is the correct answer.

Joint frequency refers to the number of observations that fall in each category when we have two categorical variables.

We have,

To determine which joint frequency has the most flights, we need to look for the highest value in the table.

From the table,

We can see that the highest value is 35, which represents the number of yellow jets going east.

Therefore,

The joint frequency with the most flights is yellow jets going east.

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Answer:

Option A) 0.038

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100

Number of of bags of tortilla chips that contain more than the label states, x = 18

Sample proportion:

[tex]\hat{p} = \dfrac{x}{n} = \dfrac{18}{100} = 0.18[/tex]

Formula for standard of error:

[tex]\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

Putting the values, we get:

[tex]\sqrt{\dfrac{0.18(1-0.18)}{100}} =0.038[/tex]

Thus, the correct answer is

Option A) 0.038

To find the total area of the construction paper needed for Natalie's project, multiply the length by the width of each rectangle and add them together.

To find the total area of the construction paper needed for Natalie's project, we need to find the area of each rectangle and then add them together.

Rectangle 1:

Length = 6 inches and width = 13 1/2 inches.

To find the area, multiply the length by the width: 6 inches x 13 1/2 inches = 81 square inches.

Rectangle 2:

Length = 10 1/3 inches and width = 10 1/2 inches.

To find the area, multiply the length by the width: 10 1/3 inches x 10 1/2 inches = 108 1/3 square inches.

Total area:

Add the areas of both rectangles: 81 square inches + 108 1/3 square inches = 189 1/3 square inches.

Therefore, Natalie needs a total of 189 1/3 square inches of construction paper for her project.

Natalie needs a total of 149 square inches of construction paper for her project.

To find the total square inches of construction paper needed for Natalie's project, we calculate the area of each rectangle and then add them together.

1. Area of the first rectangle:

[tex]\( \text{Area}_1 = \text{length} \times \text{width} = 6 \times 13\frac{1}{2} \) square inches.[/tex]

2. Area of the second rectangle:

[tex]\( \text{Area}_2 = \text{length} \times \text{width} = 10\frac{1}{3} \times 10\frac{1}{2} \) square inches.[/tex]

3. Calculate the total area:

  Total area = Area of first rectangle + Area of second rectangle.

Let's compute:

1. [tex]\( \text{Area}_1 = 6 \times 13\frac{1}{2} = 6 \times \frac{27}{2} = \frac{81}{2} = 40.5 \) square inches.[/tex]

2. [tex]\( \text{Area}_2 = 10\frac{1}{3} \times 10\frac{1}{2} = \frac{31}{3} \times \frac{21}{2} = \frac{651}{6} = 108.5 \) square inches.[/tex]

3. Total area = 40.5 + 108.5 = 149 square inches.

So, Natalie needs a total of 149 square inches of construction paper for her project.

Answer:

f(x) = 2^x

Step-by-step explanation:

Solve for a.  At point (3,8), x = 3, f(x) = 8

Plugging into the equation it becomes 8 = a^3

a = [tex]\sqrt[3]{8}[/tex]

a = 2

The exponential function is [tex]\boldsymbol{f(x)=2^x}[/tex].

A mathematical function of the form [tex]\boldsymbol{f(x)=a^x}[/tex] is an exponential function. where [tex]x[/tex] is a variable and [tex]a[/tex] is a constant known as the function's base.

Put [tex](x,f(x))=(3,8)[/tex] in the given exponential function.

[tex]8=a^3\\2^3=a^3\\a=2[/tex]

So, the exponential function is [tex]\boldsymbol{f(x)=2^x}[/tex]

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Answer:

53/100?

Step-by-step explanation:

I mean you can't really simplify it any more. There's no LCD, GCD. Can't divide it evenly.

To solve it I just looked at the number of places, (3 which mean 100.)

Then I looked at the numbers, (53.)

So you just turn that into a fraction...

Answer:

well there are many ways to but id say 8/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a binomial distribution because the probabilities are either that of success or failure.

If probability of success, p = 3/8 = 0.375, then probability of failure, q = 1 - p = 1 - 0.375 = 0.625

The formula is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = represents the probability of failure.

n represents the number of trials or sample.

n = 8

13) P(x = 3) = 8C3 × 0.375^3 × 0.625^(8 - 3) = 0.28

14) P(x = 6) = 8C6 × 0.375^6 × 0.625^(8 - 6) = 0.03

15) P(x = 1) = 8C1 × 0.375^1 × 0.625^(8 - 1) = 0.11

16) P(x = 5) = 8C5 × 0.375^5 × 0.625^(8 - 5) = 0.1

17) P(x ≥ 1) = 1 - P(x < 1)

P(x < 1) = P(x = 0)

P(x = 0) = 8C0 × 0.375^0 × 0.625^(8 - 0) = 0.023

P(x ≥ 1) = 1 - 0.023 = 0.977

18) P(x ≥2) = 1 - P(x < 2)

P(x < 2) = P(x = 0) + P(x = 1)

P(x = 0) = 8C0 × 0.375^0 × 0.625^(8 - 0) = 0.023

P(x = 1) = 8C1 × 0.375^1 × 0.625^(8 - 1) = 0.11

P(x ≥ 2) = 1 - (0.023 + 0.11) = 0.867

19) P(x ≥ 6) = P(x = 6) + P(x = 7) + P(x = 8)

P(x = 6) = 8C6 × 0.375^6 × 0.625^(8 - 6) = 0.03

P(x = 7) = 8C7 × 0.375^7 × 0.625^(8 - 7) = 0.005

P(x = 8) = 8C8 × 0.375^8 × 0.625^(8 - 8) = 0.0004

P(x ≥ 6) = 0.03 + 0.005 + 0.0004 = 0.0354

20) P(x ≥ 7) = P(x = 7) + P(x = 8)

P(x ≥ 7) = 0.005 + 0.0004 = 0.0054

21) P(x ≤ 6) = 1 - P(x = 8)

P(x ≤ 6) = 1 - 0.0004 = 0.9996

22) P(x ≤ 6) = 1 - [P(x = 7) + P(x = 8)]

P(x ≤ 6) = 1 - (0.005 + 0.0004) = 0.9946

The probabilities are listed below:

If each trial represents an independent event, then the probability of success of a given number of consecutive trials ([tex]p_{T}[/tex]) in defined by the following formula:

[tex]p_{T} = p^{n}[/tex] (1)

Where:

If we know that [tex]p = \frac{3}{8}[/tex], then the probabilities associated to a given number of trials:

1) 3 successes

[tex]p_{3} = \left(\frac{3}{8} \right)^{3}[/tex]

[tex]p_{3} = \frac{27}{512}[/tex]

The probability of success of exactly 3 successes is 5.27 %.

2) 6 successes

[tex]p_{6} = \left(\frac{3}{8} \right)^{6}[/tex]

[tex]p_{6} = \frac{729}{262144}[/tex]

The probability of success of exactly 6 successes is 0.28 %.

3) 1 success

[tex]p_{1} = \frac{3}{8}[/tex]

The probablity of success of exactly 1 success is 37.5 %.

4) 5 successes

[tex]p_{5} = \left(\frac{3}{8} \right)^{5}[/tex]

[tex]p_{5} = \frac{243}{32768}[/tex]

The probablity of success of exactly 5 successes is 0.74 %.

5) At least 1 success

The probability of success of at least 1 success is at most 37.5 %.

6) At least 2 successes

The probability of success of at least 2 successes is at most 14.1 %.

7) At least 6 successes

The probablity of success of at least 6 successes is at most 0.28 %.

8) At least 7 successes

The probability of success of at least 7 successes is at most 0.10 %.

9) At most 7 successes

The probability of success of at most 7 successes is at least 0.10 %.

10) At most 6 successes

The probability of success of at most 6 successes is at least 0.28 %.

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Answer:

I

Step-by-step explanation:

Because independent sample t-tests compare two completely different groups in a sample, which is what the researcher is attempting to do.

Answer:

90

Step-by-step explanation:

work backwards, (18+12)3= 90

Plz brainliest :)

Answer:

Step-by-step explanation:

hope it helps to you

please mark it as brainlist

Given:

Given that the equation of the line is [tex]y=2x-4[/tex]

We need to determine the slope of the line.

Slope:

The general form of the equation of the line is [tex]y=mx+c[/tex] where m is the slope of the line.

Comparing the equation [tex]y=2x-4[/tex] with the general form of the equation of the line, we get;

Slope = m = 2.

Hence, the slope is 2.

Since, we need to determine the slope of the parallel lines and we know that the slope of the parallel lines are equal.

Thus, the slope of the parallel line is 2.

Hence, Option B is the correct answer.

Your question is not complete as you have not provided some details.

Please let me assume this to complete your question;

P(t) = M(t) ÷ X(t)

ANSWER:

P(t) is the ratio of the number of melanophores to the number of xanthophores per unit time.

Therefore P(t) = 1.55

Step-by-step explanation:

KEY NOTE:

I) 10% of melanophore converts to Xanthophore per unit time.

II) 40% of Xanthophore converts to melanophore per unit time.

III) 10 melanophore and 20 Xanthophore are born per unit time

IV) 10% of Xanthophore die per unit time.

STEP 1: Conversion rate to number of birth per unit time.

For M(t) 10% of 10 = 1

For X(t) 40% of 20 = 8

Therefore;

M(t) = 10 + 8 - 1 = 17

X(t) = 20 + 1 - 8 = 13

STEP 2:

10% of Xanthophore die per unit time.

10% of 20 = 2

Therefore X(t) is;

13 - 2 = 11

The total X(t) = 11

The total M(t) = 17

P(t) = M(t)/X(t) = 17÷ 11 = 1.55

Final answer:

Austin receives roughly 2.33 pounds of rice for every dollar spent. At Cheng's Bike Rentals, a customer gets 0.25 hours (or 15 minutes) of bike use for every dollar spent.

Explanation:

To solve the questions about how many pounds of rice Austin gets per dollar and how many hours of bike use a customer gets per dollar at Cheng's Bike Rentals, we need to perform a simple division.

Calculate Rice per Dollar:

Austin bought 7 pounds of rice for $3. To find out how many pounds of rice he gets per dollar, you divide the total pounds of rice by the total cost in dollars:

7 pounds ÷ 3 dollars = 2.33 pounds of rice per dollar.

Calculate Bike Rental Time per Dollar:

At Cheng's Bike Rentals, it costs $36 to rent a bike for 9 hours. To find how many hours of bike use a customer gets per dollar, divide the total hours by the total cost in dollars:

9 hours ÷ 36 dollars = 0.25 hours of bike use per dollar, or 15 minutes per dollar.

Final answer:

Explanation of pounds of rice and hours of bike use per dollar

Explanation:

The ratio of pounds of rice to dollars:

7 pounds of rice for $3

7/3 pounds per dollar

The ratio of hours of bike use to dollars:

36 to rent a bike for 9 hours

9/36 hours per dollar

Answer:

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

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

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

62% of the voters are Democrats

This means that [tex]p = 0.62[/tex]

(a) What is the probability that two independently surveyed voters would both be Democrats?

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.62)^{2}.(0.38)^{0} = 0.3844[/tex]

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

Answer:

C) Reject [tex]H_0[/tex] if t < -1.711

Step-by-step explanation:

We are given that a certain chemical pollutant in the Arkansas River has been constant for several years with mean μ = 34 ppm (parts per million).

Also, it is given that the level of significance is 0.05 and a sample size of 25 is taken.

Let [tex]\mu[/tex] =  average chemical pollutant in the Arkansas River

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 24 ppm     {means that the average is same as before with improved filtration devices}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 24 ppm      {means that they have lowered the average with improved filtration devices}

Now, t test statistics is given by; T.S.  =  [tex]\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, n = sample size = 25

n - 1 = degree of freedom = 25 - 1 = 24

Now, at 0.05 significance level in the t table, the critical value at 24 degree of freedom is given as - 1.711 for left tailed test.

So, we will reject our null hypothesis when the t test statistics is less than the critical value of t which means reject null hypothesis if t < -1.711.

Answer:

[tex]Amplitude = /\frac{3}{2}/[/tex]

[tex]Range = [\frac{-3}{2} , \frac{3}{2}][/tex]

[tex]Period = \pi[/tex]

Step-by-step explanation:

Given: [tex]y = \frac{3}{2}cos\frac{t}{2}[/tex]

Comparing the equation with the standard form of cosine function :

[tex]y = A cos(Bx- C)[/tex]

where:

[tex]A = Amplitude[/tex]

Formula for calculating Amplitude is given as:

[tex]Amplitude = /A/[/tex]

The formula for calculating Period is given as :

[tex]Period =\frac{2\pi }{B}[/tex]

[tex]B = \frac{1}{2}[/tex]

Therefore , with the comparison

[tex]A = /\frac{3}{2}/[/tex]

which means that:

[tex]Range = \frac{-3}{2} , \frac{3}{2}[/tex]

[tex]Period = \frac{2\pi }{2}[/tex]

[tex]Period = \pi[/tex]

Base area of the triangular pyramid is 96 square units.

Lateral surface area of the triangular pyramid is 221.6 square units.

Surface area of the triangular pyramid is 317.6 square units.

Step-by-step explanation:

Base area = 8 x 12

= 96 square units

Base area of the triangular pyramid is 96 square units.

Lateral surface area = 2[(1/2) 10x 14] + (1/2) (12 x 13.6)

= 2(70) +81.6

= 140 + 81.6

= 221.6 square units

Lateral surface area = 221.6 square units

Lateral surface area of the triangular pyramid is 221.6 square units.

Surface area= 221.6 + 96

= 317.6 square units

Surface area of the triangular pyramid is 317.6 square units.

Answer:

the right answer is 48,221.6,269.6

Step-by-step explanation:

Answer:

ln 2, ln 4

Step-by-step explanation:

edge 2021

Using natural logarithm properties, we will see that we can write this expression as:

Ln(2).

Here we start with the expression:

Ln(16) - Ln(8).

Here you need to remember the properties for the natural logarithm:

Then, if we apply the second property to the given expression, we can get:

Ln(16) - Ln(8) = Ln(16/8) = Ln(2).

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Answer: Four Curricula

Step-by-step explanation:

Business

Mathematics

History

Social Science

Answer:

Four Curricula

The probability calculations for the bowler indicate that she has a 0.33% chance of not getting a strike for three consecutive frames, a 1.9% chance of getting her first strike in the third frame, a 99.66% chance of getting at least one strike in the first three frames, and a 3.4% chance of bowling a perfect game.

The subject here is probability, with the scenario provided being that a bowler can strike 85% of the time. We assume that all strikes are independent events, meaning one strike does not affect the probability of the next strike.

The probability of her not getting a strike in one turn is 1 - 0.85 = 0.15 (the complement of her strike rate). For three consecutive frames without a strike, we multiply these probabilities because of their independence: 0.15 * 0.15 * 0.15 = 0.003375 or 0.33%.

This means not striking in the first two frames and getting a strike in the third. Calculate this by multiplying the probabilities: 0.15 * 0.15 * 0.85 = 0.01912 or 1.9%.

This is best calculated by subtracting the probability of no strikes in 3 frames (found in part a) from 1, as it is the complement: 1 - 0.003375 = 0.996625 or 99.66%.

A perfect game requires 12 consecutive strikes. Multiply the probability of a strike (0.85) by itself 12 times : 0.85^12 = 0.034 (3.4% chance of a perfect game).

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The step-by-step probabilities for varying scenarios in a bowling game are: a) 0.003375 for no strikes in three frames, b) 0.019125 for the first strike in the third frame, c) 0.996625 for at least one strike in three frames, and d) 0.1489 for a perfect game.

Probability Calculations for a Bowler

A certain bowler has an 85% chance of bowling a strike. Let's break down each part of the question:

a) Probability of three consecutive frames without a strike

The probability of not getting a strike in one frame is 1 - 0.85 = 0.15. Therefore, the probability of not getting a strike in three consecutive frames is:

(0.15) × (0.15) × (0.15) = 0.003375

b) Probability of making the first strike in the third frame

The probability of not getting a strike in the first two frames but getting a strike in the third frame is:

(0.15) × (0.15) × (0.85) = 0.019125

c) Probability of at least one strike in the first three frames

First, find the probability of no strikes in three frames, which we've already calculated as 0.003375. Therefore, the probability of at least one strike is:

1 - 0.003375 = 0.996625

d) Probability of a perfect game (12 consecutive strikes)

The probability of getting a strike in each of the 12 frames is:

(0.85)¹² = 0.1489