The cost, c(x) for a taxi ride is given by c(x)=3x+2.00, where x is the number of minutes. What does the slope mean in this situation

Answer:

1e+12

Step-by-step explanation:

Use a caculator next time.

The solution to the product of the two figure is 1 trillion

To know how much the product of this figures is

1000000 x 1000000 = 1 trillion

To calculate this, we can multiply 1,000,000 (1 million) by itself:

1,000,000 x 1,000,000 = 1,000,000,000,000

So 1000000 x 1000000 is equal to 1 trillion (1,000,000,000,000).

1 trillion is a very large and significant number that is often used to describe quantities on a global or macroeconomic scale.

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If the order of choices matter, then;

Number of ways = 20

Also, if order of choices does not matter, then;

Number of ways = 10

Total number of choices = 5

Object choices = 2

By method of permutation

Number of ways =  5! / (5-2)!

Number of ways = 5! / 3!

Number of ways = 5 x 4

Number of ways = 20

Total number of choices = 5

Object choices = 2

By method of combination

Number of ways =  5! / (5-2)! 2!

Number of ways = 5! / 3! 2!

Number of ways = 5 x 4 / 2

Number of ways = 20 / 2

Number of ways = 10

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The probability that at least one person received $20 is 0.3

In math the term called probability is defined as a number that reflects the chance or likelihood that a particular event will occur.

Here we know that two people are picked at random from a group of 50 and given $10 each.

Here we have also know that three people are picked from the same group - one or more people could have been picked both times - and given $10 each.

Then the probability is calculated based on the binomial distribution is written as,

=> P = (50 3) 10³ (1 - 10) ⁵⁻³

When we simplify this one then we get the value of p as 0.3.

Then the following values are calculated through it,

μ = 15

σ = 3.24

σ² = 10.5

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On the 19th day, the lily pad covered half the pond.

The reason behind this is, If the lily pad doubles in size every day, then on the 20th day it will be twice as large as it was on the 19th day. That means it was already covering half the pond on the 19th day.

In this puzzle, the water lily is described as doubling in size every day. This means that on the first day, the lily pad is small, but by the second day, it has doubled in size. On the third day, it doubled in size again, and so on. By the 20th day, the lily pad has grown so large that it covers the entire pond.

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Answer:

i dont know the language  .................

Step-by-step explanation:

Answer:

I could but can you please put down the problem.

Step-by-step explanation:

Answer:

3/4 is equivalent to 6/7

Hey there!

Equivalent fractions have the same value. Here are some fractions that are equivalent to 6/7:

\(\frac{6}{7} =\frac{12}{14} =\frac{18}{21} =\frac{24}{28} ...\)

Hope it helps. Please let me know if you have any questions.

~An excited gal

\(MagicalNature\) here to help

Answer:

why is the graph so i can help you

Step-by-step explanation:

Answer:

37.5

Step-by-step explanation:

Answer: 37.5

Step-by-step explanation:

12.5% of 300=37.5

Answer:

130-85=45

45/7.5=6

Step-by-step explanation:

so she would have 6 days to rent the jet ski if she wanted to spend all of her money on that.

Hello there. To solve this question, we'll have to remember some properties about trigonometric functions and the right triangle.

We want to find x such that:

We'll use the second right triangle to show what we want.

First, given a triangle:

We know that the hypotenuse will be:

But most importantly, the tangent of the angles α and β can be calculated by only using the legs of the triangle: it is the ratio between the opposite side and the adjacent side to an angle.

and

Now look at the triangle we have:

We can easily check that:

So it would be good to find something that relates the ratio between those two numbers: the tangent of 60º!!

Therefore, we have:

And the solution to x is:

Note that where the above is given, the distance from the sun (one of the foci) tot he center of the hyperbola is 280 million kilometers.

Given

(x²/10404) - (y²/78400) =1

First, the sun is at one of the foci of the hyperbola. So to find the distance,

c² = a² + b²

Where

a = 102

b = √(b²+a²)
c = distance from center to foci


so

a² = 102² = 10404

b² = c² - a² = 78400 - 10404 = 67996

c² = a² + b² = 10404 + 67996 = 78400

c = √(78400) = 280


Since the comet's path is modelled in millions,

the distance from the sun (to the center) is 280 million kilometers.

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The number of sides that a polygon have if inscribed and circumscribed circles is equal to 1/2 is 3.

The ratio of the radius of the inscribed circle to the radius of the circumscribed circle of a polygon is known as the inradius-to-circumradius ratio. For a regular polygon, this ratio is related to the number of sides by the following formula:

inradius-to-circumradius ratio = (sin(pi/n))/(1+sin(pi/n))

where n is the number of sides of the polygon.

If the inradius-to-circumradius ratio is 1/2, then we can solve for n:

1/2 = (sin(pi/n))/(1+sin(pi/n))

Multiplying both sides by (1+sin(pi/n)), we get:

l

1/2 + (sin(pi/n))/2 = sin(pi/n)

Multiplying both sides by 2, we get:

1 + sin(pi/n) = 2sin(pi/n)

Subtracting sin(pi/n) from both sides, we get:

1 = sin(pi/n)

This equation holds true only for n = 3, which corresponds to a regular triangle. Therefore, the polygon with an inradius-to-circumradius ratio of 1/2 is a regular triangle with three sides.

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Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

Answer:

(a) To write 9 N as a number in standard form, we need to express it as a number between 1 and 10 multiplied by a power of 10. To do this, we can divide 9 N by 10 until we get a number between 1 and 10:

9 N = 480 × 10^9

9 N ÷ 10 = 48 × 10^9

9 N ÷ 10^2 = 4.8 × 10^9

9 N ÷ 10^3 = 0.48 × 10^9

9 N ÷ 10^4 = 0.048 × 10^9

9 N ÷ 10^5 = 0.0048 × 10^9

Therefore, 9 N = 4.8 × 10^10.

(b) To write N as a product of powers of its prime factors, we can first factorize N:

480 × 10^9 = 2^5 × 3 × 5 × 10^9

Then, we can express 10^9 as 2^9 × 5^9 and substitute it in the factorization:

2^5 × 3 × 5 × 2^9 × 5^9 = 2^14 × 3 × 5^10

Therefore, N = 2^14 × 3 × 5^10.

(c) To find the largest factor of N that is an odd number, we need to remove all factors of 2 from the factorization of N. We can do this by dividing N by 2 as many times as possible:

N = 2^14 × 3 × 5^10

N ÷ 2 = 2^13 × 3 × 5^10

N ÷ 2^2 = 2^12 × 3 × 5^10

N ÷ 2^3 = 2^11 × 3 × 5^10

N ÷ 2^4 = 2^10 × 3 × 5^10

N ÷ 2^5 = 2^9 × 3 × 5^10

N ÷ 2^6 = 2^8 × 3 × 5^10

N ÷ 2^7 = 2^7 × 3 × 5^10

N ÷ 2^8 = 2^6 × 3 × 5^10

N ÷ 2^9 = 2^5 × 3 × 5^10

N ÷ 2^10 = 2^4 × 3 × 5^10

N ÷ 2^11 = 2^3 × 3 × 5^10

N ÷ 2^12 = 2^2 × 3 × 5^10

N ÷ 2^13 = 2 × 3 × 5^10

N ÷ 2^14 = 3 × 5^10

Therefore, the largest factor of N that is an odd number is 3 × 5^10.

Answer:

c. should be the right answer if I'm correct

A small change in x can change the conclusion of our test.

Given :

how would your conclusion change if your sample mean had been 1.355 mg/l.

t - test :

A t-test is a statistical test that compares the means of two samples. It is used in hypothesis testing, with a null hypothesis that the difference in group means is zero and an alternate hypothesis that the difference in group means is different from zero.

if x = 1.355

t = 1.355 - 1.3 / 0.18 / \(\sqrt{30}\)

= 0.055 / 0.18 / \(\sqrt{30}\)

= 0.055 * \(\sqrt{30}\) / 0.18

= 1.67

df = n - 1

= 30 - 1

= 29

P - value from t table :

p = 0.525

fail to reject \(H_0\)

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Full question :

The Environmental Protection Agency has determined that safe drinking water should contain no more than 1.3 mg/liter of copper. You are testing water from a new source, and take 30 water samples. The mean copper content in your samples is 1.36 mg/l and the standard deviation is 0.18 mg/l. There do not appear to be any outliers in your data .

how would your conclusion change if your sample mean had been 1.355 mg/l? what point does this make about statistical significance?

P-value is less than the level of significance α = 0.05, we reject the null hypothesis and conclude that the mean time to assemble at the end of a 3-week training period is less for the new training procedure.

a. Performing the test using the classical approach α=0.05

Hypothesis test:

Null hypothesis H₀: The mean time for the new procedure = the mean time for the standard procedure

Alternative hypothesis H₁: The mean time for the new procedure < the mean time for the standard procedure (one-tailed test)

Level of significance α = 0.05

Since population standard deviations are unknown, we will use the t-test to conduct the hypothesis test.

Below is the calculation of the t-test.(For detailed calculation of t-test, please refer to the image attached)

Using a t-distribution table with df = 14 (n1 + n2 - 2), the critical value for a one-tailed test at α = 0.05 is -1.761.

The test statistic (-2.029) is less than the critical value (-1.761), so we reject the null hypothesis and conclude that the mean time to assemble at the end of a 3-week training period is less for the new training procedure.

b.Performing the above test assuming population variances are equal

Hypothesis test

Null hypothesis H₀: The mean time for the new procedure = the mean time for the standard procedure

Alternative hypothesis H₁: The mean time for the new procedure < the mean time for the standard procedure (one-tailed test)Level of significance α = 0.05

Since population variances are assumed to be equal, we will use the pooled t-test to conduct the hypothesis test.

Below is the calculation of the pooled t-test.(For detailed calculation of pooled t-test, please refer to the image attached)

Using a t-distribution table with df = 16 (n₁ + n₂ - 2), the critical value for a one-tailed test at α = 0.05 is -1.746.

The test statistic (-2.029) is less than the critical value (-1.746), so we reject the null hypothesis and conclude that the mean time to assemble at the end of a 3-week training period is less for the new training procedure.

c. Performing the above test (#2) using the p-value approach.

Hypothesis test:

Null hypothesis H₀: The mean time for the new procedure = the mean time for the standard procedure

Alternative hypothesis H₁: The mean time for the new procedure < the mean time for the standard procedure (one-tailed test)

Level of significance α = 0.05

Since population variances are assumed to be equal, we will use the pooled t-test to conduct the hypothesis test.

The test statistic is -2.029, which corresponds to a p-value of 0.0328.

Since the p-value is less than the level of significance α = 0.05, we reject the null hypothesis and conclude that the mean time to assemble at the end of a 3-week training period is less for the new training procedure.

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The value of the reverse permutation is F-¹(3) = 5.

An inverse permutation is one in which each number as well as the number of the place it occupies are swapped.

For, the given values in the question;

So, if you remove the last point, (5,3), the inverse is a function because it contains only the points.

F= {(2, 6), (3, 1), (4, 5), and (5,3)}.

Thus, it can be written as;

F: 2 → 3 → 4 → 5

F: 6 → 1 → 5 → 3.

Thus, F-¹(3); 3 →  5.

F-¹(3) = 5.

Therefore, the value of the reverse permutation is F-¹(3) = 5.

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The solution for the given problem is (a) P(X ≥ 20,000) = 0.4493, P(X ≤ 30,000) = 0.7769, P(20,000 ≤ X ≤ 30,000) = 0.3276. (b) P(X > 75,000) = 0.0821, P(X > 100,000) = 0.0183.

Solution: a) To find the probability that a randomly selected fan will last at least 20,000 hours. P(X ≥ 20,000). Now, Mean time until failure is 25,000 hours which is given and is represented by µ. Hence, µ = 25,000 hrs. The parameter used for the Exponential distribution is λ.λ = 1 / µλ = 1 / 25,000 hrs. λ = 0.00004. Therefore, the probability that a randomly selected fan will last at least 20,000 hours. P(X ≥ 20,000) =  e -λt = e -0.00004 × 20,000 ≈ 0.4493The probability that a randomly selected fan will last at least 20,000 hours is 0.4493.

To find the probability that a randomly selected fan will last at most 30,000 hours. P(X ≤ 30,000) = 1 - e -λt = 1 - e -0.00004 × 30,000 ≈ 0.7769. The probability that a randomly selected fan will last at most 30,000 hours is 0.7769.

To find the probability that a randomly selected fan will last between 20,000 and 30,000 hours. P(20,000 ≤ X ≤ 30,000) = P(X ≤ 30,000) - P(X ≤ 20,000)P(20,000 ≤ X ≤ 30,000) = (1 - e -λt) - (1 - e -λt)P(20,000 ≤ X ≤ 30,000) = e -0.00004 × 20,000 - e -0.00004 × 30,000 ≈ 0.3276. The probability that a randomly selected fan will last between 20,000 and 30,000 hours is 0.3276.

b) To find the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations.

z = (X - µ) / σZ = (X - µ) / σ = (X - 25,000) / (25,000)λ = 1 / µλ = 1 / 25,000 hrs. λ = 0.00004

The formula for z is z = (X - µ) / σ => X = z σ + µ

The standard deviation of the Exponential distribution is σ = 1 / λσ = 1 / 0.00004 = 25,000 hrs

Z = (X - µ) / σ = (X - 25,000) / (25,000)Z > 2z > 2 => (X - 25,000) / (25,000) > 2 => X > 75,000 hrs.

Now, the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations.

P(X > 75,000) = e -λt = e -0.00004 × 75,000 ≈ 0.0821

The probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations is 0.0821

To find the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations.

Z > 3z > 3 => (X - 25,000) / (25,000) > 3 => X > 100,000 hrs.

Now, the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations P(X > 100,000) = e -λt = e -0.00004 × 100,000 ≈ 0.0183

The probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations is 0.0183.

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Answer:

0.96 + 0.43v

Step-by-step explanation:

You simplify, v and -0.57v are like terms, therefore you can add them together

v - 0.57v = 0.43 v

Answer:

0.96 + 0.43v

Step-by-step explanation:

What you are doing is combining like terms. Let's say v is candy I have v - .57v that means I have one candy and I ate .57 of it already so we subtract to get .43v and the .96 is brussel sprouts. We do NOT want to mix the candy and the brussel sprouts because they are different things.

If you need me to explain more let me know, but hopefully this helps and have a great day!

Answer:

the car is traveling at a mph of 65 per hour.

Step-by-step explanation:

hope this helped out in some way.

Answer:

1) Are dividing the group rate cost.

2) Multiplication.

3) Action is being performed on the variable.

4) n/4 or n [divided sign] 4

Step-by-step explanation:

Atleast this book tells you. but most times its a multi questioning test like online.

Answer:

see picture below

Step-by-step explanation:

Answer:

never

Step-by-step explanation:

sorry but never I'm just kidding get a girl friend and you will be good

Answer:

Oh mna. I hope you will be happy soon man.

Step-by-step explanation:

Answer:

The similarities are;

1) The Third Angle Theorem and the Triangle Angle-Sum Theorem are based on the sum of the angles in a triangle being equal to 180°

2) The Third Angle Theorem and the Triangle Angle-Sum Theorem are used to prove the measure of the third

3) The Third Angle Theorem and the Triangle Angle-Sum Theorem are triangle theorems

The differences are;

1) The Third Angle Theorem is mainly used to prove the similarity of two triangles, while Triangle Angle-Sum Theorem is used to find the measure of the third angle

2) The value of the third angle may not be determined when using the The Third Angle Theorem to prove the similarities between triangles while the value of the third angle is normally determined calculated when the Triangle Angle-Sum Theorem is used to find the third angle given the other two angles in the triangle

Step-by-step explanation:

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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