find ∠rqt (4x+15) (10x-3)

The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

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The equation s% of 1/r translates to the expression s/100r

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

s% of 1/r

= (s/100) * (1/r)

= s/100r

The equation s% of 1/r translates to the expression s/100r

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Answer:

Just look at the other answer

Step-by-step explanation:

(a) The linear density (mass/length) rho has SI units of kg/m. Since rho = a + bx, the SI units of a must be kg/m and the SI units of b must be kg/m^2.
(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod:
m = ∫₀ᴸ ρ(x) dx
Substituting in ρ(x) = a + bx:
m = ∫₀ᴸ (a + bx) dx
m = [ax + (1/2)bx²] from 0 to L
m = aL + (1/2)bL²
Therefore, the mass of the rod in terms of a, b, and L is m = aL + (1/2)bL².

(a) In this problem, rho (ρ) represents linear density, which has units of mass per length. In SI units, mass is measured in kilograms (kg) and length in meters (m). Therefore, the units of linear density are kg/m. Since ρ = a + bx, the units of a and b must be consistent with this equation. The units of a are the same as those of ρ, so a has units of kg/m. For b, since it is multiplied by x (which has units of meters), b must have units of kg/m² to maintain consistency in the equation.

(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod (from x=0 to x=L). Let's set up the integral:

Mass (M) = ∫(a + bx) dx, with limits from 0 to L

Now, we can integrate:

M = [a * x + (b/2) * x²] evaluated from 0 to L

Substitute the limits:

M = a * L + (b/2) * L²

So, the mass of the rod in terms of a, b, and L is:

M = aL + (bL²)/2

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Answer:

64x^11 after making the nomenclature revisions as noted below.

Step-by-step explanation:

Be careful with the notation. As written, (8x4)2(x3) is telling us to multiply 8*4*2*x*3 for an answer of 192x. But, judging from the answer options, this doesn't make sense.

If we assume, instead, that some of the numbers are actually exponents, then a different answer emerges. I'll guess that the expression (8x4)2(x3)

was meant to read: (8x^4)^2(x^3)

===

Assuming this is correct, take the following steps according to PEDMAS:

1) Exponents: (8x^4)^2 = 64x^8

2) (64x^8)*(x^3)

3) 64x^11

If we write the answer options is a similar manner, we find that the third option, 64x11, would be 64x^11, the expression we derived above. 64x11 is not the correct answer, but 64x^11 is.

Answer:

y= 32x

Step-by-step explanation:

Use slope formula

192-128/6-4= 64/2

M=32x

Find y-intercept (if any)

128=32(4)+b

128=128+b

B=0

Answer:

gggggjwjwkekdbfjfnnf

Answer:

B is the correct answer

Step-by-step explanation:

Hope it helped have a great day

In the question given that :he​ reasoned, the probability of rolling a nine must be one eleventh but bob is wrong because the probability is 1/36 which is not equal to 1/11

From the question, we have the information available is:

Bob is asked to construct a probability model for rolling a pair of fair dice. He lists the outcomes as​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, 11, 12.

and, there are 11​ outcomes, he​ reasoned, the probability of rolling a nine must be one eleventh.

To write the what is wrong with  Bob's reasoning.

Now, According to the question:

In the probability:

He rolled 11 times:

So, we can represent the \(w_2\) is the outcome with the sum of pints in two die are 2.

Then the probability is:

\(P(w_2 = 2) = (\frac{1}{6} ).(\frac{1}{6} )=\frac{1}{36}\neq \frac{1}{11}\)

So, in the question given that :he​ reasoned, the probability of rolling a nine must be one eleventh but bob is wrong because the probability is 1/36 which is not equal to 1/11.

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For given graph of function, the x-intercepts are:

x = 0 and x = 4

In this question, we have been given a graph of a function.

We need to find the x-intercept for given graph.

We know that, the points at which the graph of function intersects the X-axis are known as x-intercepts.

We can observe that the graph intersects X-axis at points (0, 0) and (4, 0)

Therefore, for given graph of function, the x-intercepts are:

x = 0 and x = 4

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The probability is 1, or 100%, that a randomly selected person from this sample believed either the true headline or the false headline.

Probability is a measure of the likelihood or chance that a specific event will occur. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain to occur.

The probability that a randomly selected person from this sample believed the true headline or believed the false headline can be calculated by adding the number of people who believed the true headline to the number of people who believed the false headline and dividing by the total sample size.

In this case, the number of people who believed the true headline is 120, and the number of people who believed the false headline is 80. Therefore, the total number of people who believed either headline is 120 + 80 = 200.

The total sample size is also 200, so the probability that a randomly selected person from this sample believed the true headline or believed the false headline is:

(120 + 80) / 200 = 200 / 200 = 1

Therefore, the probability is 1, or 100%, that a randomly selected person from this sample believed either the true headline or the false headline.

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Complete Question:

In a sample of 200 people, 120 believed a true headline and 80 believed a false headline. What is the probability that a randomly selected person from this sample believed the true headline or believed the false headline?

Answer:

i think its distributive, sorry if it's wrong

Answer:

Please mark me the brainliest

Bank Balance  | Amount Owed

---------------------|-------------

-$150               | $150

-$325              | $325

-$275              | $275

To find the amount owed, we simply take the absolute value of each bank balance. The player who owes the greatest amount is the one with the largest absolute value bank balance. In this case, that would be Malcolm, who owes $325.

Step-by-step explanation:

Answer:

First take 0.23 as 0.23/1

Then Multiply the numerator and denominator by any number, Let us say 100

So it becomes,

0.23 x 100/100

=> 23/100

The number of groups formed is 10 if we consider 5 cars in groups of 3.

Given, 5 cars in groups of 3, we can use the formula,

(5 3) = 5! / 3! × 2!

= 10

Permutation and combination are the various ways in which one can form a set that may be selected without any replacement. When the selection of a subset is where we use the permutation and when the ordering of the subset is there we use a combination.

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The angle marked y has its value to be 105 degrees

The figure that completes the question is added as an attachment

From the question, we have the following parameters:

The interior angle of a regular hexagon is 120 degrees while the interior angle of a regular octagon is 135 degrees

This means that

y = 360 - interior angle of a regular hexagon - interior angle of a regular octagon

Substitute the known values in the above equation

So, we have the following equation

y = 360 - 120 - 135

Evaluate

y = 105

Hence, the size of the angle marked y is 105 degrees

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i. The crude death rate is approximately 10.53 deaths per 1,000 population.

ii. The cause-specific mortality rate for lung cancer is approximately 0.5 deaths per 1,000 population.

iii. The proportional mortality rate for lung cancer is approximately 0.47%.

Explanation:

i. Crude Death Rate:

The crude death rate is calculated by dividing the total number of deaths from all causes by the population and then multiplying by a constant factor (usually 1,000 or 100,000) to obtain the rate per 1,000 or 100,000 population.

Given:

Total number of deaths from all causes = 2,106

Population = 200,000

Crude Death Rate = (Total number of deaths from all causes / Population) * 1,000

Crude Death Rate = (2,106 / 200,000) * 1,000

Crude Death Rate = 10.53 deaths per 1,000 population

ii. Cause-Specific Mortality Rate:

The cause-specific mortality rate is calculated by dividing the number of deaths from a specific cause by the population and then multiplying by a constant factor (usually 1,000 or 100,000) to obtain the rate per 1,000 or 100,000 population.

Given:

Cases of cancer among both men and women = 100

Population = 200,000

Cause-Specific Mortality Rate = (Cases of cancer / Population) * 1,000

Cause-Specific Mortality Rate = (100 / 200,000) * 1,000

Cause-Specific Mortality Rate = 0.5 deaths per 1,000 population

iii. Proportional Mortality Rate:

The proportional mortality rate is calculated by dividing the total number of deaths from a specific cause by the total number of deaths from all causes and then multiplying by 100 to obtain the percentage.

Given:

Total number of deaths from lung cancer = 10

Total number of deaths from all causes = 2,106

Proportional Mortality Rate = (Total number of deaths from lung cancer / Total number of deaths from all causes) * 100

Proportional Mortality Rate = (10 / 2,106) * 100

Proportional Mortality Rate ≈ 0.47%

Therefore:

i. The crude death rate is approximately 10.53 deaths per 1,000 population.

ii. The cause-specific mortality rate for lung cancer is approximately 0.5 deaths per 1,000 population.

iii. The proportional mortality rate for lung cancer is approximately 0.47%.

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Answer:

4) x -2,-3 hope it helps to you

We can use the polar equation r = f(θ) to sketch the curve. However, since you have only provided the value of θ as −π/6, we cannot determine the shape of the curve without knowing the equation of the function f(θ).

In order to sketch the curve, we need to plot at least three points on the polar coordinate plane. We can do this by selecting three different values of θ, plugging them into the polar equation, and finding the corresponding values of r. We can then plot these points and connect them to form the curve.

Answer:
1. First, recall that in polar coordinates, a point is represented by (r, θ), where r is the distance from the origin, and θ is the angle measured counter-clockwise from the positive x-axis.
2. In this case, the polar equation is given as θ = -π/6, which means the angle is fixed at -π/6 radians, or -30 degrees.
3. Since r can take any value, this curve is a straight line consisting of all points that are located at a -30-degree angle from the positive x-axis. To visualize this, imagine a ray starting at the origin and rotating -30 degrees in the clockwise direction.

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The coordinates of Q', R', and S' after the translation of 2 units left and 3 units up are (-4, 5), (-5, -1), and (-1, 1) respectively.

To translate the triangle QRS 2 units left and 3 units up, we need to subtract 2 from the x-coordinate of each vertex and add 3 to the y-coordinate of each vertex. Let's calculate the new coordinates:

Q'(-2 - 2, 2 + 3) = Q'(-4, 5)

R'(-3 - 2, -4 + 3) = R'(-5, -1)

S'(1 - 2, -2 + 3) = S'(-1, 1)

After the translation, the new coordinates of the vertices Q', R', and S' are (-4, 5), (-5, -1), and (-1, 1) respectively.

In summary, the coordinates of Q', R', and S' after the translation of 2 units left and 3 units up are (-4, 5), (-5, -1), and (-1, 1) respectively.

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(a) By integrating this expression, we find that E[X] = θ. Therefore, X is an unbiased estimator of θ.

(b) The variance of X is θ²/n, where n is the sample size.

(c) a good estimate of θ based on the given sample is 3.68.

(a) To show that X is an unbiased estimator of θ, we need to demonstrate that the expected value of X is equal to θ.

The expected value of X, denoted as E(X), can be calculated as:

E(X) = ∫[0 to ∞] x * f(x; θ) dx,

where f(x; θ) is the probability density function of the exponential distribution.

Substituting the given pdf, we have:

E(X) = ∫[0 to ∞] x * (1/θ) * e^(-x/θ) dx.

Integrating by parts using u = x and dv = (1/θ) * e^(-x/θ) dx, we get:

E(X) = [(-x * e^(-x/θ)) / θ] |[0 to ∞] + ∫[0 to ∞] (1/θ) * e^(-x/θ) dx.

Applying the limits, we have:

E(X) = [(0 * e^(-0/θ)) / θ] - [(∞ * e^(-∞/θ)) / θ] + ∫[0 to ∞] (1/θ) * e^(-x/θ) dx.

Since e^(-∞/θ) approaches 0, the second term becomes 0:

E(X) = [(0 * e^(-0/θ)) / θ] + ∫[0 to ∞] (1/θ) * e^(-x/θ) dx.

Simplifying, we get:

E(X) = 0 + [1/θ] * [(-θ) * e^(-x/θ)] |[0 to ∞].

Again applying the limits, we have:

E(X) = 0 + [1/θ] * [(-θ) * e^(-∞) - (-θ) * e^(0/θ)].

Since e^(-∞) approaches 0 and e^(0/θ) is equal to 1, we get:

E(X) = 0 + [1/θ] * [0 - (-θ)].

Simplifying further, we obtain:

E(X) = θ/θ.

Finally, E(X) simplifies to 1, indicating that X is an unbiased estimator of θ.

By integrating this expression, we find that E[X] = θ. Therefore, X is an unbiased estimator of θ.

(b) The variance of X can be calculated using the formula for the variance of a random variable.

Var(X) = E[(X - E[X])²]

Since X is an unbiased estimator, E[X] = θ. Therefore, we can rewrite the variance formula as:

Var(X) = E[(X - θ)²]

By substituting the PDF of the exponential distribution, we have:

Var(X) = ∫[0 to ∞] (x - θ)² * (1/θ)e^(-x/θ) dx

Simplifying this expression and performing the integration, we obtain Var(X) = θ²/n. Thus, the variance of X is θ²/n, where n is the sample size.

(c) To estimate θ using the given sample values, we can use the sample mean. The sample mean is calculated by summing all the sample values and dividing by the sample size. In this case, the sample mean is (3.5 + 8.1 + 0.9 + 4.4 + 0.5)/5 = 3.68. Therefore, a good estimate of θ based on the given sample is 3.68.

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Answer: y = -90, 90

Step-by-step explanation:

     To solve this, we will isolate the variable.

 Given:

10 = |\(\frac{y}{9}\)|

 Absolute value:

10 = \(\frac{y}{9}\)     &     -10 = \(\frac{y}{9}\)

 Multiply both sides of both equations by 9:

90 = y    &     -90 = y

 Answer:

y = -90, 90

The width of the rectangle is 9 meter.

Now, According to the question:

The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.

Now, Solving the problem:

Perimeter of rectangle is 50 meter sq.

Length of the rectangle(L) is 16 meter.

We have to find the width (W) of the rectangle.

We know that,

Perimeter of rectangle is = 2 (L + W)

50 = 2(16 + W)

50 = 32 + 2W

2W = 50 - 32

2W = 18

W = 18/2

W = 9

Hence, The width of the rectangle is 9 meter.

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Answer:

3

Step-by-step explanation:

The question is incomplete. Here is the correct question.

If NL = 13, find NM. NM = X+15 ML = 2x+34

Using vector notation, NL = NM+ML

Substituting the given parameters into the equation;

13 = x+15+(2x+34)

13 = x+15+2x+34

Collect like terms.

x+2x+15+34 = 13

3x+49 = 13

3x = 13-49

3x = -36

x = -12

Given NM = x+15 and x = -12

NM = -12+15

NM = 3

Answer:

The answer is 576.57 Hope you like answer

Answer:

486

Step-by-step explanation:

just multiply and divide

8 x 27 / 4 x 9

Answer:

y-intercept: (0, 6)

gradient = 3

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

AB = 3x-2

Let x=3

AB = 3*3 -2

    = 9-2

    =7