a ferry will safely accommodate 66 tons of passenger cars. assume that the mean weight of a passenger car is 1.7 tons with standard deviation 0.5 tons. if a random sample of 36 cars are loaded onto the ferry, what is the probability that the maximum safe weight will be exceeded? hint! think about the average safe weight g

Answer:

\( \frac{ \alpha + \beta + \gamma }{ - d} \)

Step-by-step explanation:

If we simplify that fraction, we get

\( \frac{ \alpha + \beta + \gamma }{ \alpha \beta \gamma } \)

Keep that in mind.

If y, a ,b are zeroes of the cubic polynomial, then that means

\((x - \alpha )(x - \beta )(x - \gamma )\)

make up the polynomial.

Notice that leading xoeffeicent will be 1, so the roots will multiply to

\( - d\)

so

\( \alpha \beta \gamma = - d\)

which gives us

\( \frac{ \alpha + \beta + \gamma }{ - d} \)

Proof:

Consider the function

\((x - 2)(x - 3)(x - 5)\)

The roots are 2, 3, 5.

D is -30 so we get

Using the value,

\( \frac{2 + 3 + 5}{ 30} = \frac{1}{3} \)

If we use the orginal equation, we get

\( \frac{1}{6} + \frac{1}{10} + \frac{1}{15} = \frac{10}{30} = \frac{1}{3} \)

Answer:

Hey,mate

Notice that leading xoeffeicent will be 1, so the roots will multiply to

The roots are 2, 3, 5.

\(\sqrt{2} \sqrt{3} \sqrt{5}\)

D is -30

In estimating a population mean, an interval estimate is more likely to be correct than a point estimate. An interval estimate provides a range of values within which the true population mean is likely to fall, while a point estimate provides only a single value.

When estimating a population mean, using an interval estimate is more likely to be correct because it accounts for the uncertainty associated with the estimate. A point estimate, on the other hand, provides a single value that is assumed to represent the true population mean. However, due to sampling variability and potential errors in measurement, a point estimate is prone to error and may not accurately reflect the true population mean.

By using an interval estimate, which includes a range of values, we have a measure of uncertainty. The range is typically constructed based on a certain level of confidence, such as a 95% confidence interval. This means that if we were to repeat the sampling and estimation process many times, the true population mean would be expected to fall within the estimated interval in 95% of those repetitions.

The interval estimate takes into account the variability in the data and provides a more realistic representation of the true population mean. It provides a margin of error and acknowledges that the point estimate is just one possible value among many that could have been obtained through sampling.

Therefore, when estimating a population mean, an interval estimate is preferred because it not only provides a point estimate but also quantifies the uncertainty associated with that estimate, leading to a higher likelihood of being correct.

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Answer: Yes, The measure of DCF is degrees.

Answer:

50 miles you're welcome

Answer:

50 miles

Step-by-step explanation:

The value of x is less than or equal to 2 and 1 half. The correct option is B.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that inequality is 3¹/₂≥1.4x. The inequality will be solved as below,

3¹/₂ ≥ 1.4x

(14)/(10)x ≤ (5/2)

(5/10)x ≤  5/2

x ≤ (5/10) ÷ ( 5/2 )

x ≤ 2.5

x ≤ 2¹/₂

Therefore, the value of x is less than or equal to 2 and 1 half. The correct option is B.

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Answer: x <= 2 1/2

Step-by-step explanation: Got correct on test

Answer:

distance = 7.07 units

Step-by-step explanation:

x difference = 7

y difference = -1

using the Pythagorean theorem:

7² + -1² = d²

d² = 49 + 1 = 50

d = 7.07

Answer:

7.1

Step-by-step explanation:

distance between the x is 7 and y is 1

And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2

c=50

and take the square root, which is 7.071, rounds to 7.1

Answer:

46/10 or 23/5

Step-by-step explanation:

Answer:

46/10

Step-by-step explanation:

I got it right on imagine math

Answer:

-2x

Step-by-step explanation:

hope it helps!!!!!

Answer:

V = 55/48 is your answer

hope it helps..

The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b)

This is incomplete question

Complete question is this:

With a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?

Choose the correct option:

Now, According to the question:

Hence, The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b).

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Step-by-step explanation:

so where's the question??

Answer: yes if is

Step-by-step explanation:

The probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 71.55%.

σ_sample = σ / sqrt(n)

σ_sample = 2.5 / sqrt(55)

σ_sample ≈ 0.336

Now, we can standardize the values of 17 and 18 pounds using the Z-score formula. This will tell us how many standard deviations away from the population mean these values are:

Z = (X - μ) / σ_sample

Z_17 = (17 - 17.2) / 0.336 ≈ -0.595

Z_18 = (18 - 17.2) / 0.336 ≈ 2.381

Now we will use the standard normal distribution (Z-distribution) to find the probabilities corresponding to these Z-scores. You can use a Z-table, statistical software, or an online calculator to find these probabilities.

P(Z < -0.595) = 0.2760

P(Z < 2.381) = 0.9915

To find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds, we will find the difference between the probabilities corresponding to the two Z-scores:

P(17 < X < 18) = P(Z < 2.381) - P(Z < -0.595)

P(17 < X < 18) = 0.9915 - 0.2760

P(17 < X < 18) ≈ 0.7155

So, the probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 71.55%.

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Answer: -3 is natural and a whole number can be equivalent to the natural numbers

Step-by-step explanation:

Look at this picture this will help!

Answer:

\(2x^2+x-3=(2x+3)(x-1)\)

Step-by-step explanation:

Rewrite the middle term as a sum of two terms so that the coefficients add up to the coefficient of the middle term, and group the entire polynomial into two binomials in which they have the same factor:

\(2x^2+x-3\\2x^2-2x+3x-3\\(2x^2-2x)+(3x-3)\\2x(x-1)+3(x-1)\\(2x+3)(x-1)\)

Hope this helps! Let me know if you are still confused.

If we are watching basketball games at sports-bar, then the probability that exactly 1 player makes their shot is 0.11436.

In order to calculate the probability that exactly 1 player makes their shot, we consider the individual probabilities of each player making their shot and the probabilities of the other players missing.

Let us denote the event that player A makes their shot as A, player B makes their shot as B, and player C makes their shot as C.

We want to calculate P(exactly 1 player makes their shot), which can be written as P((A and not B and not C) or (not A and B and not C) or (not A and not B and C)).

Since the events are assumed to be independent, we multiply the probabilities of each individual-event. So, required probability can be written as follows :

P(exactly 1 player makes their shot) = P(A and not B and not C) + P(not A and B and not C) + P(not A and not B and C)

= P(A) × P(not B) × P(not C) + P(not A) × P(B) × P(not C) + P(not A) × P(not B) × P(C),

= (0.84) × (1 - 0.70) × (1 - 0.79) + (1 - 0.84) × (0.70) × (1 - 0.79) + (1 - 0.84) × (1 - 0.70) × (0.79),

= 0.05292 + 0.02352 + 0.03792,

= 0.11436,

Therefore, the required probability is 0.11436.

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If Pamela has registered for the first time, it will remain on the Do Not Call list permanently. If she has re-registered, it will remain on the list for an additional five years from the date of re-registration.

The length of time that Pamela's phone number will remain on the National Do Not Call Registry depends on whether she registered her number on the Do Not Call Registry for the first time or if she has re-registered her number after it has already been on the list for a while.

If Pamela registered her phone number for the first time, it will be added to the Do Not Call Registry within 31 days of her registration date. Her phone number will remain on the list permanently, unless she requests to remove it or the number is disconnected.

If Pamela has re-registered her phone number after it has already been on the list for a while, her number's registration will be extended for another five years from the date she re-registered it.

Therefore, if Pamela registered her phone number for the first time, it will remain on the list permanently. If she has re-registered her number, it will remain on the list for an additional five years from the date of re-registration.

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Answer:

2=-2; No solution

Step-by-step explanation:

Hope this helped, Have a Wonderful Day!!

Answer:

Step-by-step explanation:

∠1 = 38    {Vertically opposite angles}

∠2 = 39 + 36 = 75

Exterior angle equals the sum of opposite interior angles.

x = ∠1 +∠2        

 = 38 + 75

x = 113

Answer:

x = 122

Step-by-step explanation:

the answer is 3x²

Step-by-step explanation:

we know that k = 3x

when we look at the actual equasion we can se that y = kx, meaning we have to multiply x by 3x which would give us 3x²

Answer:  the answer is 3x^2 three x to the power of 2

Answer:

Step-by-step explanation:

circumference=2πr=20

r=20/2π=10/π

h=22 cm

volume

\(V=\pi r^2h=\pi (\frac{10}{\pi } )^2 \times 22=\frac{2200}{\pi } \approx 700.28~cm^3\)

The product of the expression sixty-four sixty-fifths times twenty will be less than 20. The correct option is D.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

The product of the expression sixty-four sixty-fifths times twenty will be:

= 64/65 × 20

= 0.985 × 20

= 19.7

This is less than 20.

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In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

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The order of the numbers from least to greatest will be;

⇒ - 2/3, -0.2 , 0.8 , √2 , √11

What is Number system?

A system of writing to express the number is called number system.

Given that;

All the numbers are,

a. √2

b. - 2/3

c. √11

d. 0.8

e. - 0.2

Now,

Solve all the number as;

a. √2 = 1.414

b. - 2/3 = - 0.67

c. √11 = 3.32

d. 0.8 = 0.8

e. - 0.2 = - 0.2

So, Order of the numbers from least to greatest will be;

⇒ - 0.67 , -0.2 , 0.8, 1.414, 3.32

This is same as;

⇒ - 2/3, -0.2 , 0.8 , √2 , √11

Therefore, The order of the numbers from least to greatest will be;

⇒ - 2/3, -0.2 , 0.8 , √2 , √11

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Answer:

\(40-50d\)

Step-by-step explanation:

Use the distributive property:

\(10(4-5d)\\\\10(4)-10(5d)\\\\40-50d\)

Since these are not like terms, they can't be further simplified.

:Done

Answer:

B

Step-by-step explanation:

\(x^{0} = 1\\\\\frac{x^{m}}{x^{n}}= \frac{1}{x^(n-m)}}, n >m\\\\\\\frac{6ab}{(a^{0}b^{2})^{4}}=\frac{6ab}{(1*b^{2})^{4}}\\\\=\frac{6ab}{b^{2*4}}\\\\=\frac{6ab}{b^{8}}\\\\=\frac{6a}{b^{8-1}}\\\\=\frac{6a}{b^{7}}\)

The equivalent expression of 6ab/(a^0b^2)^4 is 6a/b^7

The expression is given as:

6ab/(a^0b^2)^4

Evaluate the exponent of 0

6ab/(b^2)^4

Apply the law of indices, and open the bracket

6ab/b^8

Apply the law of indices

6a/b^(8-1)

Evaluate the difference

6a/b^7

Hence, the equivalent expression of 6ab/(a^0b^2)^4 is 6a/b^7

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Answer:

22 and 0

Step-by-step explanation: