wrich expreson is equivalent to 4(3-6).​

Answer:

20/27

Step-by-step explanation:

The radius of the circular swimming pool is 17.20 feet.

The distance round the  circular swimming pool is the circumference of the circle.

Radius = circumference / (pi x 2)

108 / (3.14 x2)

108 / 6.28 = 17.20 feet

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892.4

May Nilbin Be With You

The three positive numbers are 2, 2, and 2 and their sum is 6, and the sum of their squares is 12.

To minimize the sum of squares given the constraint,

let's set up the Lagrangian as follows:

L(a, b, c, λ) = a² + b² + c² - λ(a + b + c - 6)

Taking the partial derivatives with respect to each variable, we have:

∂L/∂a = 2a - λ = 0

∂L/∂b = 2b - λ = 0

∂L/∂c = 2c - λ = 0

∂L/∂λ = -(a + b + c - 6) = 0

From the first three equations, we find that 2a = 2b = 2c = λ.

Since a, b, and c are positive, we can conclude that a = b = c.

Substituting this into the fourth equation, we have:

-(3a - 6) = 0

3a = 6

a = 2

Therefore, the three positive numbers are a = b = c = 2.

The sum of their squares is 2² + 2² + 2² = 12.

Hence, the three positive numbers whose sum is 6 and the sum of whose squares is as small as possible are 2, 2, and 2. The sum of their squares is 12.

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Answer:

they are collinear

one point is between the other two

Step-by-step explanation:

The conditions regarding the endpoints that must be met are;

Option B; One point is between the other two.

Option E; They are colinear.

Let's look at the options;

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The area under the standard normal curve to the left of z = 1.72 is 0.0427. To find the area to the right of z = 1.72, we can subtract the area to the left from 1.

Subtracting 0.0427 from 1 gives us an area of 0.9573. Therefore, the area under the standard normal curve to the right of z = 1.72 is approximately 0.9573.In the standard normal distribution, the total area under the curve is equal to 1. Since the area to the left of z = 1.72 is given as 0.0427, we can find the area to the right by subtracting this value from 1. This is because the total area under the curve is equal to 1, and the sum of the areas to the left and right of any given z-value is always equal to 1.

By subtracting 0.0427 from 1, we find that the area under the standard normal curve to the right of z = 1.72 is approximately 0.9573. This represents the proportion of values that fall to the right of z = 1.72 in a standard normal distribution.

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Answer: To prove that triangles △ABC and △DEF are similar, we would use the AA Similarity Postulate. This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. In other words, if the corresponding angles of two triangles are congruent, then the triangles are similar.

Step-by-step explanation:

Answer: LJ, JK, KL

Step-by-step explanation:

The probability that a male student chooses chocolate ice cream is 3/7.

Let's assume that there are a total of N ice cream choices, and M of those choices are made by male students.

Since we don't have the exact values for N and M, we can't determine the probability directly.

However, we can use the information given in the answer choices to determine the correct option.

Let's analyze the answer choices:

a. 6/23
b. 4/7
c. 3/7
d. 3/22

Based on these options, the most likely answer would be c. 3/7, as it is the only choice that represents a fraction between 0 and 1.

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The probability that at least one program system will detect an error is 0.8319 (approx) or 0.832 (approx).

Given information:

five program systems are prepared so that they work independently of each other. Each system has a 0.3 chance of detecting an error.

Find the probability that at least one program system will detect an error. Use 4 decimal places.The probability of a system detecting an error is 0.3.

The probability of a system not detecting an error is 1 - 0.3 = 0.7.

Probability that none of the five systems detects an error is, P(error not detected in any of the five systems) = P(not detected in 1st) x P(not detected in 2nd) x ... x P(not detected in 5th) = 0.7 x 0.7 x 0.7 x 0.7 x 0.7 = 0.16807.

The probability that at least one system detects an error is, P(at least one system detects an error) = 1 - P(error not detected in any of the five systems) = 1 - 0.16807 = 0.8319 (approx).

Therefore, the probability that at least one program system will detect an error is 0.8319 (approx) or 0.832 (approx).

Hence, the correct option is 0.832.

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Answer:Answer B

Step-by-step explanation:

You get more money that way.

The sum of the residuals and what it tells us about the line of best fit is that: −1.06; This indicates that the line of best fit is not very accurate and is not a good model for prediction.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = actual value - predicted value

Next, we would determine the predicted values as follows:

At point (4, 6), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(4) − 0.76.

Predicted value, y = 5.08

At point (6, 7), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(6) − 0.76.

Predicted value, y = 8.

At point (7, 8), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(7) − 0.76.

Predicted value, y = 9.46.

At point (9, 13), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(9) − 0.76.

Predicted value, y = 12.38.

At point (10, 14), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(10) − 0.76.

Predicted value, y = 13.84

At point (11, 15), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(11) − 0.76.

Predicted value, y = 15.3.

Now, we can calculate the sum of the residuals as follows:

Sum of the residuals = Sum of actual values - Sum of predicted values

Sum of the residuals = (6 + 7 + 8 + 13 + 14 + 15) - (5.08 + 8 + 9.46 + 12.38 + 13.84 + 15.3)

Sum of the residuals = 63 - 64.06

Sum of the residuals = -1.06.

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Answer:

-1.06

Step-by-step explanation:

i took the test :)

(12x +15)°=75° .…(शिर्षभिमुख कोण भएर)

or, 12x+15=75

or, 12x=75-15

or, 12x=60

or, x=60÷12

or, x=5

(6y-27)°=105° .…(शिर्षभिमुख कोण भएर)

or, 6y-27=105

or, 6y=105+27

or, 6y=132

or, y=132÷6

or, y=22

Answer:

x = -75

Step-by-step explanation:

\(\frac{3}{5}\) x = - 45 ( multiply both sides by 5 to clear the fraction )

3x = - 225 ( divide both sides by 3 )

x = - 75

Answer:

A

Step-by-step explanation:

The value of the unknown number x is 8.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The given numbers include:

The sum of the given numbers is calculated as follows:

\(2 + 4 + \text{x} + 6 = 12 + \text{x}\)

The mean of the given 4 numbers is calculated as follows:

\(\dfrac{12+\text{x}}{4} =5\)

\(12+\text{x}=20\)

\(\text{x}=20-12\)

\(\text{x}=8\)

Thus, the value of the unknown number x is 8.

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A = B = 1

Given the function,f(x) = 1/2x - 5, 5 ≤ x ≤ 7

The inverse function of the above function is given by:

f⁻¹(x) = 2(x + 5) , x ∈ [f(5), f(7)] = [0,1]

Hence, the domain of the inverse function is [0,1].

Therefore,A = B = 1

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Answer:

6 hours 30 minutes

Step-by-step explanation:

10 subtract 4 is 6

55 subtract 25 is 30

Answer:

f(x)=5+2x

Step-by-step explanation:

If the linear dimensions of the cube double, the total electric flux through the cubic surface will double as well.

The total electric flux through a closed surface is equal to the charge enclosed within the surface divided by the permittivity of free space. The electric flux is given by the dot product of the electric field and the area vector of the surface, integrated over the surface.

When the linear dimensions of a cube double, the surface area of the cube increases by a factor of eight (2^3). This means that there is more surface area over which to integrate the electric flux, and therefore the total electric flux through the surface increases. However, the electric field inside the cube does not change when the dimensions double.

Therefore, the total electric flux through the surface increases as the cube's dimensions double, because there is more surface area over which to integrate the constant electric field. The increase in total electric flux is proportional to the increase in surface area, which is a factor of eight.

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The estimated probability of getting a green marble from this bag is 9/25.

The probability of getting a green marble from this bag.

We'll use the information provided on each student's results to calculate the probability.
Student 1: Picked a green marble 1 time in 4 experiments.
Student 2: Picked a green marble 5 times in 12 experiments.
Student 3: Picked a green marble 3 times in 9 experiments.
To estimate the probability, we'll add the number of successful green marble picks (1 + 5 + 3 = 9) and divide it by the total number of experiments (4 + 12 + 9 = 25).
Probability of getting a green marble = (Number of successful picks) / (Total number of experiments) = 9 / 25.

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Answer:

The roots are

\(x=-2+\dfrac{3}{2} \ i \ \ or \ \ x=-2-\dfrac{3}{2} \ i\)

Step-by-step explanation:

4x² + 16x + 25 = 0

Using the quadratic formula

That's

\(x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\)

From the question

a = 4 , b = 16 , c = 25

Substitute the values into the above formula and solve

We have

\(x=\dfrac{-16\pm\sqrt{16^2-4(4)(25)} }{2(4)}\)

\(x=\dfrac{-16\pm\sqrt{256-400} }{8}\)

\(x=\dfrac{-16\pm\sqrt{-144} }{8}\)

\(x=\dfrac{-16\pm12 \ i}{8}\)

Separate the real and imaginary parts

That's

\(x=\dfrac{-16}{8}\pm\dfrac{12}{8} \ i\)

\(x=-2\pm\dfrac{3}{2} \ i\)

We have the final answer as

\(x=-2+\dfrac{3}{2} \ i \ \ or \ \ x=-2-\dfrac{3}{2} \ i\)

Hope this helps you

In statistical inference, hypothesis testing is used to make conclusions about a population based on a sample data. the unknown value of a parameter. A parameter is a numerical characteristic of a population, such as mean, standard deviation, proportion, etc.

It involves testing a statement or assumption about a population parameter using the sample statistics. Hypothesis testing is used to evaluate the likelihood of a statement being true or false by calculating the probability of obtaining the observed sample data, assuming the null hypothesis is true. The null hypothesis is the statement that is being tested and the alternative hypothesis is the statement that is accepted if the null hypothesis is rejected.
The answer to the question is d) the unknown value of a parameter. A parameter is a numerical characteristic of a population, such as mean, standard deviation, proportion, etc. Hypothesis testing is used to test statements about the unknown values of these parameters. The sample data is used to calculate a test statistic, which is then compared to a critical value or p-value to determine whether to reject or fail to reject the null hypothesis.
In summary, hypothesis testing is a powerful statistical tool used to make conclusions about a population parameter using sample data. It is used to test statements about unknown values of population parameters, and the answer to the question is d) the unknown value of a parameter.

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Answer:

x is 60 and y is 50

hope it helped have a good day mate

Answer:

9.11

Step-by-step explanation:

√83=9.110433579

round 9.110433579 to get 9.11

When the sample size is small and the population distribution is not normal, the mean is a biased estimate.

Nonetheless, the bias of the mean reduces as the sample size grows, making it a more trustworthy estimator. As a result, the mean is the biased estimator whose bias will decrease as the sample size increases.

Increasing the sample size has no impact on the bias of the median, standard deviation, and range estimators since they are non-biased estimators.

These estimators may, however, be made more precise and accurate by increasing the sample size, which increases their dependability for predicting population parameters.

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Complete question:

Which biased estimator will have a reduced bias based on increased sample size? mean median standard deviation range

Answer:

The correct Answer is: 9.0 x 10^-3

The sentence representing the equation is 912 is the same as 15 decreased by a number.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given an equation, 912 = 15 − x

Here, 912 is equal to a number which is being subtracted from 15.

Hence, The sentence representing the equation is 912 is the same as 15 decreased by a number.

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The limit of the ratio test for the series ∑[infinity] to n=1 10^n÷n! is infinity (∞).

The ratio test is used to determine the convergence or divergence of a series. It involves taking the limit of the absolute value of ratio of consecutive terms. If the limit is less than 1, the series converges. If the limit is greater than 1 or infinity (∞), the series diverges. If the limit is exactly 1, the test will be inconclusive.

In this case, we have f(n) = ∣(10^n+1)÷(10^n)∣ = ∣10∣ = 10. The limit of f(n) as n approaches infinity is 10.

Since the limit of f(n) is greater than 1, the series fails the ratio test. This means that the series ∑[infinity] to n=1 10^n÷n! diverges. The ratio test suggests that the series does not have a finite sum and continues indefinitely.

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