What is the length of line segment KJ?


2 \sqrt{3} units

3 \sqrt{2} units

3 \sqrt{3} units

3 \sqrt{5} units

Answer:

There will be a decrease in everything

Step-by-step explanation:

The phytoplankton uses the sun and if it's hard for them to survive the krill will have no food, and what eats the krill won't have food either.

Evaluating the function in the given values we will see that the correct option is the first one.

g(1) = 2.2966; g(2) = 14.8932

Here we want to evaluate the function below:

g(x) = 1.8x^3 − 0.0034x + 0.5

in x = 1 and x = 2.

To do so, wejust needto replace the variableby the correspondent number, then we will get:

g(1) = 1.8*1^3 − 0.0034*1 + 0.5 = 2.2966

Andthe other value is:

g(2) =1.8*2^3 − 0.0034*2 + 0.5 = 14.8932

Then the correct option is the first one:

2.2966; 14.8932

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Answer:

6 4 5 6 7

Step-by-step explanation:

The mode would be 5. The first 2 letters of MODE are MO, which can be an abbreviation for MOST OFTEN.

Answer:B

Step-by-step explanation:

The doctors office measurement should be considered the actual height as it offers more precision than clare's estimate

Answer:

=17 + 6n.

Step-by-step explanation:

\(4 \times 5 + 6n - 3 \\ = 20 + 6n - 3 \\ = 20 - 3 + 6n \\ = 17 + 6n\)

Answer:

B

Step-by-step explanation:

Answer:

the other dude got it right its b

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

The question has missing details.

However, I'll make the following assumptions:

\(Biscuits = 20\)

\(Difference = 2\) (Fewer/Extra)

To solve your question, simply change the numbers

Required

Determine the range of the biscuits

To calculate the number of minimum biscuits, we have:

\(Minimum = Biscuits - Difference\)

\(Minimum = 20 - 2\)

\(Minimum = 18\)

To calculate the number of maximum biscuits, we have:

\(Maximum = Biscuits + Difference\)

\(Maximum = 20 + 2\)

\(Maximum = 22\)

Using the normal distribution, it is found that there is a 0.1611 = 16.11% probability that the 100 pledges total more than $5,700.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

The probability that the 100 pledges total more than $5,700 is 1 subtracted by the p-value of Z when X = 5700.

\(Z = \frac{X - \mu}{\sigma}\)

Considering the n instances:

\(Z = \frac{X - M}{s}\)

\(Z = \frac{5700 - 5333}{370}\)

\(Z = 0.99\)

\(Z = 0.99\) has a p-value of 0.8389.

1 - 0.8389 = 0.1611

0.1611 = 16.11% probability that the 100 pledges total more than $5,700.

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Answer:

33 %

Step-by-step explanation:

3200 - 2400 = 800

800 / 2400 x 100

1 /3 x 100

100/ 3

33 %

Answer: A 2,2

Step-by-step explanation: 1 - 1 something

Answer:

Step-by-step explanation:

hi! the log properties say that when logs are multiplied as log(xy), they can be expanded and added like log(x)+log(y). when logs are divided like log(x/y), they can be expanded as log(x)-log(y). when the log has an exponent like log(x^y), the exponent can be added to the front of the log like ylog(x). we can use these properties for this problem.

ln(x^3)+ln(y^2)-ln((x+1)^4)

ln(x^3*y^2)-ln((x+1)^4)

\(ln(\frac{(x^3y^2)}{((x+1)^4)})\)

Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³

Answer:

3 feet 6 inches

Step-by-step explanation:

If we add those inches together, we get 42 inches. Turn that to feet (12 in in a foot) and we get 3.5 feet, or 3 feet and 6 inches.

Answer:

a = 8

b = 2

c = 48

Step-by-step explanation:

3 cups of flour is needed to make 24 servings.

3:24

Simplify. First, divide 3 from both sides of the ratio.

(3)/3 : (24)/3

1:8

Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1

1 x 2 = b = 2

Finally, multiply 8 to 6 to get c.

8 x 6 = c = 48

~

The given point estimators are unbiased and estimator b₁  is more efficient than b₂.

A statistic used to precisely estimate a population parameter is called an "unbiased estimator." An estimator's expected value must match the population parameter's value to be considered unbiased. The discrepancy between an estimator's expected value and the parameter value is known as bias. The estimator tends if this difference is not zero.

a) To show whether the given point estimators are unbiased, first, find whether the expected value of the given estimators is equal to the population parameter μ.

\(\begin{aligned}E(b_1) &= E(0.10X_1 + 0.20X_2 + 0.40X_3 + 0.30X_4)\\&=0.10E(X_1) + 0.20E(X_2) + 0.40E(X_3) +0.30E(X_4)\\&=0.10\mu+0.20\mu+0.40\mu+0.30\mu\\&=\mu\\E(b_2) &= E(0.25X_1 + 0.25X_2 + 0.30X_3 + 0.20X_4)\\&=0.25E(X_1) + 0.25E(X_2) + 0.30E(X_3) +0.20E(X_4)\\& = 0.25\mu + 0.25\mu + 0.30\mu + 0.20\mu\\&=\mu \end{aligned}\)

Therefore, both estimators are found to be unbiased.

b) To show which estimator is more efficient, first, find the two-point estimators' variance.

\(\begin{aligned}V ar(b_1)&= Var(0.10X_1+0.20X_2+0.40X_3+0.30X_4)\\&= 0.10^2V ar(X_1)+0.20^2Var(X_2)+0.40^2Var(X_3)+0.30^2Var(X_4)\\&= 0.10^2\sigma^2+ 0.20^2\sigma^2+ 0.40^2\sigma^2 + 0.30^2\sigma^2\\&=0.3\sigma^2\\Var(b_2)&= Var(0.25X_1+0.25X_2+0.30X_3+0.20X_4)\\&= 0.25^2Var(X_1)+0.25^2Var(X_2)+0.30^2Var(X_3)+0.20^2Var(X_4)\\&= 0.25^2\sigma^2 + 0.25^2\sigma^2 + 0.30^2\sigma^2 + 0.20^2\sigma^2\\&= 0.255\sigma^2\end{aligned}\)

From this, we can say that Var(b₁) > Var(b₂). Therefore, b₁ is more efficient.

The complete question is -

Let X₁, X₂, X₃, and X₄ be a random sample of observations from a population with mean μ and variance σ². Consider the following two-point estimators:

b₁ = 0.10X₁ + 0.20X₂ + 0.40X₃ + 0.30X₄, and

b₂ = 0.25X₁ + 0.25X₂ + 0.30X₃ + 0.20X₄

(a) Show that both estimators are unbiased.

(b) Which estimator is more efficient, b₁ or b₂? Explain in detail.

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Answer:

n = 8

Step-by-step explanation:

The given sequence, 2, 6, 18, 54. . ., is a geometric sequence.

It has a common ratio of 3 => \( \frac{6}{2} = \frac{18}{6} = \frac{54}{18} = 3 \)

Thus, the sum of the first n terms of a geometric sequence is given as \(S_n = \frac{a_1(1 - r^n)}{1 - r}\)

Where,

\( a_1 \) = first term of the series = 2

r = common ratio = 3

\( S_n \) = sum of the first n terms = 6,560

Plug in the above values into the formula

\(6,560 = \frac{2(1 - 3^n)}{1 - 3}\)

\( 6,560 = \frac{2(1 - 3^n)}{-2} \)

\( 6,560 = \frac{1 - 3^n}{-1} \)

Multiply both sides by -1

\( -6,560 = 1 - 3^n \)

Subtract 1 from both sides

\( -6,560 - 1 = - 3^n \)

\( -6,561 = - 3^n \)

\( 6,561 = 3^n \)

Evaluate

\( 3^8 = 3^n \)

3 cancels 3

\( 8 = n \)

The value of n = 8

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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they're everywhere now

Answer:

wow okay. I just want points tbh

Given:

Weight of rocks to be delivered = 300 pounds

Mass of each rock = 8 cubic feet

Height of each dump truck = 8 ft

Length of each dump truck = 12 ft

Width of each dump truck = 9ft

Let's solve for the following:

• a) Calculate the total volume of rock that the transport comapny is responsible for.

To find the total volume of rock, apply the formula below:

Total volume = (Weight of rocks to be delivered) x (Mass of each rock)

Thus, we have:

Total volume = 300 x 8 = 2400 cubic feet

Therefore, the total volume of rock the transport company is responsible for is 2400 cubic feet.

• b) Calculate the maximum volume of each dump truck.

Since the dump truck has the shape of a rectangular prism, to find the maximum volume of each dump truck apply the formula for the volume of a rectangular prism.

Volume = Length x Width x Height

Thus, we have:

Volume = 12 x 9 x 8 = 864 cubic feet

Therefore, the maximum volume of each dump truck is 864 cubic feet.

• c) How many trucks are needed to deliver the rock in one trip.

To find the number of trucks needed in one trip, apply the formula below:

Thus, we have:

Therefore, approximately 3 trucks are needed to deliver the rock in one trip

ANSWER:

• a) 2400 cubic feet

• b) 864 cubic feet

• c) 3 trucks

Answer:

11

Step-by-step explanation:

3(3-1)2+2(3)-7 = 3(2)2+6-7 = 12-1 = 11

Cara's first error was not 7 - 13, leading to an incorrect result of -32.

Cara's first error was that she did not evaluate (Negative 4) squared.

The expression in question is not provided, so let's assume it is "6 - 2 × (-4)² + 7 - 13".

According to the order of operations (PEMDAS/BODMAS), we evaluate operations inside parentheses first, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

To evaluate the expression correctly, we follow the order of operations:

Evaluate the exponent (-4)².

Since (-4) squared is positive, (-4)² = 16.

Multiply 2 and 16.

2 × 16 = 32.

Evaluate the addition and subtraction from left to right.

6 - 32 + 7 - 13.

At this point, we see that Cara did not evaluate 7 - 13.

Therefore, her first error was not evaluating the subtraction correctly.

Continuing the evaluation:

6 - 32 + 7 - 13 = -32.

So, Cara's first error was not evaluating 7 - 13, leading to an incorrect result of -32.

It's important to carefully follow the order of operations to ensure accurate evaluations of mathematical expressions.

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The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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22,460,546 can be expanded as follows:

20 million (20,000,000)

2 million (2,000,000)

400 thousand (400,000)

60 thousand (60,000)

5 hundred (500)

46

What is expansion?

In mathematics, expansion refers to the process of writing a numerical expression as a sum or a product of simpler terms. For example, expanding (a + b)² into a² + 2ab + b² is a common mathematical expansion.

22,460,546 can be expanded as follows:

20 million (20,000,000)

2 million (2,000,000)

400 thousand (400,000)

60 thousand (60,000)

5 hundred (500)

46

Hence, 22,460,546 can be expanded as follows:

20 million (20,000,000)

2 million (2,000,000)

400 thousand (400,000)

60 thousand (60,000)

5 hundred (500)

46

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The amount Rebecca has put into fixed savings each month to cover her annual expenses for life insurance, auto insurance and real estate taxes is $ 194.

Given that:-

Amount invested in life insurance = $ 255

Number of payments in life insurance = 4

Amount invested in real estate taxes = $ 455.35

Number of payments in real estate taxes  = 2

Amount invested in auto insurance = $ 66.21

Number of payments in auto insurance = 6

We have to find the amount Rebecca has put into fixed savings each month to cover her annual expenses for life insurance, auto insurance and real estate taxes.

Hence,

Total amount put by Rebecca in a year = 255*4 + 455.35*2 + 66.21*6 = 1020 + 910.70 + 397.26 = $ 2,327.96

Amount put by Rebecca in a month = 2327.96/12 =  $ 193.997 ≈ $ 194

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