There 7 ducklings .they sleep in 1 large nest .write and solve an equation that shows how many ducklings sleep in the nest

The probability to the statement to be true is 1/5.

Probability:

Probability refers the chance of an event occurring.

The formula of the probability is,

Probability = the number of ways of achieving success / the total number of possible outcomes.

Given,

The inhabitants of an island tell

the truth with probability 1/3 and

lie with probability 2/3, independently of each other.

One islander makes a statement. a second islander says that the first islander told the truth.

Here we need to find the probability of the statement.

Let us assuming the two islanders statements are independent, the probability they both told the truth is

=> 1/3 x 1/3 = 1/6

If the probability of the second guy backing up the first statement is the probability they both lied or they both told the truth

=> (2/3 x 2/3) + (1/3 x 1/3)

=> 4/9 + 1/6

=> 5/9

So, the probability of the first guy telling the truth, given that the second guy claiming it was true

=> P(A|B) = P(AB)/P(B)

=>  (1/9) / (5/9) = 1/5.

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The gradient of the scalar field U = 4xz² + 3yz + 9 is given by ∇U = (4z², 3z, 4xz + 3y).

The gradient of a scalar field represents the direction and magnitude of the steepest increase in the field. In the given scalar field U = 4xz² + 3yz + 9, the gradient is ∇U = (4z², 3z, 4xz + 3y). This means that the scalar field increases the most in the direction of the vector (4z², 3z, 4xz + 3y). The magnitude of the gradient represents the rate of increase in the scalar field.

The divergence of a vector field measures the flux or the rate at which the vector field flows outward from a point. For the vector field A = η + sin(xy)ay + cos²(xz)a₂az, the divergence ∇·A is calculated by taking the partial derivatives of each component of A with respect to their respective variables and summing them. This gives us the measure of how much the vector field diverges or converges at a particular point.

The curl of a vector field represents the rotation or circulation of the vector field around a point. For the vector field A, the curl ∇×A is calculated by taking the partial derivatives of each component of A with respect to their respective variables and arranging them in a specific order. The resulting vector represents the circulation of the vector field around a given point.

For the scalar field V₁ = x³, the gradient ∇V₁ is calculated by taking the partial derivatives of the field with respect to each variable. In this case, it simplifies to (∂(x³)/∂x, ∂(x³)/∂y, ∂(x³)/∂z), which is (3x², 0, 0). This indicates that the scalar field increases the most in the x-direction and remains constant in the y and z directions.

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Step-by-step explanation:

In a equation of a line

y=mx+c

Let's take two points from the graph (0,1) and (4,3)

Slope=m= (3-1/4-0)= 2/4=1/2

C= 1

y=½x+1

Answer:

y = ½x + 1

Step-by-step explanation:

the line pass through (x1,y1) as (-2,0) and (x2,y2) as (0,1) so the line equation can be determine by

\( \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \)

(y-0)/(1-0) = (x-(-2))/(0-(-2))

y = (x+2)/2

y = ½x + 1

Answer:

150

Step-by-step explanation:

x/6 = 25

therefore, x = 25 * 6

x = 150

you're welcome....

Answer:

150/6=25

Step-by-step explanation:

×/6=25

×6. ×6

× = 150

Answer:

18

Step-by-step explanation:

Intersecting Secants Theorem:

6(x + 6) = 8(8 + 10)

6x + 36 = 8(18)

6x + 36 = 144

6x = 144 - 36

6x = 108

x = 18

Answer:

-8

Step-by-step explanation:

-24=6-(4x24)+18= 6-96+18=-90+18=-72

-8=6-(4x8)+18= 6-32+18=-26+18=-8

Answer:

2000 BCE

Step-by-step explanation:

The larger the BCE year, the older, so in this case, your answer is 2000 BCE.

Answer:

Step-by-step explanation:

Hi! We are currently in CE.  CE is after BCE.  The further left you go on the timeline means the earliest date.  If it starts first, then it is the oldest.  Hope this helps!

To find the work required to stretch a spring 44 inches beyond its natural length, we can use Hooke's Law, which states that the force required to stretch or compress a spring is directly proportional to the displacement. By comparing the given displacement of 4 feet with the desired displacement of 44 inches, we can calculate the work needed using the ratio of displacements.

Hooke's Law states that the force required to stretch or compress a spring is given by \(F = kx\), where \(F\) is the force, \(k\) is the spring constant, and \(x\) is the displacement from the natural length of the spring. The work done to stretch the spring is the product of the force and the displacement, \(W = F \cdot x\).

Given that 4 feet of displacement requires 11 foot-pounds of work, we can set up a proportion to find the work required for 44 inches of displacement. Since 1 foot is equal to 12 inches, the ratio of displacements is \(\frac{44}{12}:\frac{4}{1}\).

Using this ratio, we can determine the work required by multiplying the given work (11 foot-pounds) by the ratio of displacements. Therefore, the work required to stretch the spring 44 inches beyond its natural length is \(\frac{44}{12} \times 11\) foot-pounds.

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We can rewrite the fractions with a common denominator of 12.

The ratios in order from least to greatest are 8 to 12, 5 to 6, and 3 to 2.

To compare ratios using fractions, you can follow these steps:

Write the ratios as fractions:

The given ratios are 3 to 2, 5:6, and 8 to 12.

To write them as fractions, you can place the first number as the numerator and the second number as the denominator.

Thus, the fractions would be 3/2, 5/6, and 8/12.

Find a common denominator:

To compare fractions, it is helpful to have a common denominator.

Look for a common multiple of the denominators of the fractions. In this case, the denominators are 2, 6, and 12.

The least common multiple (LCM) of these numbers is 12.

Rewrite the fractions:

To make the denominators of all the fractions equal to 12, multiply both the numerator and denominator of each fraction by the appropriate factor. For example:

3/2 can be rewritten as (3/2) × (6/6) = 18/12

5/6 can be rewritten as (5/6) × (2/2) = 10/12

8/12 remains the same.

Compare the fractions:

Now that all the fractions have a common denominator, you can directly compare their numerators.

We have 18/12, 10/12, and 8/12.

Comparing the numerators, we see that 18 is greater than 10, which is greater than 8.

The ratios in order from least to greatest are 8 to 12, 5 to 6, and 3 to 2.

By following these steps, you can compare ratios by converting them into fractions, finding a common denominator, rewriting the fractions, and finally comparing the numerators to determine their order.

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The correct statements in the given options are, x = 51,  y = 34,  and m ∠1 = 44⁰

options, B,D,E

The value of x and y can be determined by applying the following equation.

3y - 18 = 84 (vertical opposite angles are equal)

3y = 102

y = 102/3

y = 34

The value of x is calculated as follows;

∠1 + 3y - 18 + ²/₃(x + 27) = 180 (sum of angles on a straight line)

∠1 + 3(34) - 18 + ²/₃(x + 27) = 180

∠1  + ²/₃(x + 27)  = 96

∠1  = 96 -  ²/₃(x + 27)  -------(1)

3x - 25  = 3y - 18 + ∠1 ---- (2)

3x - 25 = 3y - 18 + 96 -  ²/₃(x + 27)

3x + ²/₃(x + 27) = 3y + 103

3x + ²/₃(x + 27) = 3(34) + 103

3x + ²/₃(x + 27) = 205

9x + 2x + 54 = 615

11x = 561

x = 561/11

x = 51

The value of angle 2 is calculated as;

∠2 = 180 - (3x - 25)

∠2 = 180 - 3x + 25

∠2 = 180 - 3(51) + 25

∠2 = 52⁰

The value of angle 1 is calculated as follows;

∠1  = 96 -  ²/₃(x + 27)  

∠1  = 96 -  ²/₃(51 + 27)

∠1 = 44⁰

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i have attached the solution...

hopefully this will help u

Answer:

To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.

1.2 / 1.5 = 0.8

0.96 / 1.2 = 0.8

0.768 / 0.96 = 0.8

.

Decimal form = 0.8

Fraction form = 4/5

.

Check:

1.5 x 0.8 = 1.2

1.5 x 4/5 = 6/5 = 1 1/5 = 1.2

Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.

Answer:

It Is 0.8

Step-by-step explanation:

I took the quiz

Answer:

-1/2x+3=y

to find xint make y=0

-1/2x+3=0

-1/2×=-3

x=6

so xint=6

to find yint make x=0

-1/2(0)+3=y

y=3

yint=3

Answer:

Step-by-step explanation:

2 2/3

Answer:

240

Step-by-step explanation:

360 divided by 3 is 120 so 2 times 120 is 240

To find the probability that the mean years of education for a sample of 35 people is at least 12 years, we need to use the Central Limit Theorem (CLT) and the properties of the normal distribution.

Given:

- Mean (μ) of the population = 13.2 years

- Standard deviation (σ) of the population = 2.96 years

- Sample size (n) = 35

Using the CLT, we know that for a sufficiently large sample size (n ≥ 30), the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

To calculate the probability, we need to standardize the sample mean using the z-score formula and then find the corresponding area under the standard normal curve.

Step 1: Calculate the standard error of the mean (SE):

SE = σ / √n

SE = 2.96 / √35

SE ≈ 0.5013

Step 2: Calculate the z-score for the given mean of 12 years:

z = (x - μ) / SE

z = (12 - 13.2) / 0.5013

z ≈ -2.395

Step 3: Find the area under the standard normal curve for z ≥ -2.395:

P(z ≥ -2.395) can be obtained using a standard normal distribution table or a calculator. The corresponding area is approximately 0.9911.

Therefore, the probability that the mean years of education for a sample of 35 people is at least 12 years is approximately 0.9911, or 99.11%.

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Answer:

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

The row numbers along the left side of the worksheet are 1, 2, 4, 5, 6. We can observe that there is a missing number in the sequence, specifically the number 3. Therefore, based on the pattern, we can deduce that row 3 is missing from the worksheet.

Based on the given information, the row numbers along the left side of the worksheet are 1, 2, 4, 5, 6, with a missing number in the sequence, which is the number 3.

The presence of the numbers 1, 2, 4, 5, and 6 indicates that rows corresponding to those numbers exist in the worksheet. However, there is no row with the number 3 mentioned in the sequence. Thus, we can conclude that row 3 is missing from the worksheet.

It is important to note that the missing row could be intentional or accidental, but based on the given information, we can deduce that there is a discontinuity in the row numbering, specifically the absence of row 3.

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Answer:

Step-by-step explanation:

john lennon

Hey there! I'm happy to help!

Tan means tangent. The tangent is the ratio of the opposite side of the angle to the adjacent side of the angle.

If we look across from angle C, we see that the opposite side is 5.

The adjacent side is the one next to the angle, and it can't be the hypotenuse (the diagonal one). Our adjacent side is 13.

So, the tangent of C is 5/13, and we can divide these, giving us about D. 0.38.

Have a wonderful day! :D

Answer:

0.38

Step-by-step explanation:

took a p e x test

Answer:

{ 3, 0, -1}

Step-by-step explanation:

The range is {-5, 4, 7} meaning that these are the y-values.  You need to find the x-value using g(x) = y  and solve for x because the domain is the values for x.

y = 4 - 3x          Let y = - 5

-5 = 4 - 3x

-9 = -3x

-9/-3 = x

   3 = x

y = 4 - 3x     Let y = 4

4 = 4 - 3x

0 = -3x

0/-3 = x

 0 = x

y = 4 - 3x     Let y = 7

7 = 4 - 3x

3 = -3x

3/-3 = x

-1 = x  

Checking    Let x = 3   and solve for y or g(x)  

 g(x) = 4 - 3x

         = 4 - 3(3)

         =  4  - 9

         =  -5      checked

The square root was an effective transformation for this purpose is skewed and symmetrical.

In 1963 and 1964, an experiment was conducted in France to study the effects of seeding on precipitation.

The experiment focused on a 1500-km target area and a control area of similar size, where 33 ground generators were used to seed the target area with silver iodide.

The experiment's design was different from previous ones, and it relied on a table of random numbers to decide whether or not to seed the target area.

Next, we can perform a hypothesis test to determine if there is a significant difference between the mean precipitation in the seeded and unseeded periods in the target area.

Now, let's talk about the square root transformation used by the French investigators. They used this transformation to make normal theory more applicable, meaning that it helped to make the data more normally distributed.

By taking the square root of the data, the variance is reduced, and the distribution becomes more symmetrical. In this case, the investigators likely used the square root transformation because the precipitation data is often skewed.

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The unit rate for the ratio 100 points/ 4 games is 25 points per game

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

Ratio = 100 points/ 4 games

The unit rate is simply the value of the above ratio

However, with a denominator of 1

This means that we evaluate the quotient in the above expression

So, we have the following representation

Ratio = 25 points/ 1 game

Express as unit rate

Unit rate = 25 points per game

Hence, the unit rate is 25 points per game

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9514 1404 393

Answer:

  6. see attached

  7. (a, b) = (-2, 3)

  8. equation has issues

Step-by-step explanation:

6. Matrix addition is defined for corresponding terms, so the usual associative and commutative properties of addition apply. That is, ...

  A₁₁ +B₁₁ = (A+B)₁₁ . . . . . and the same for other corresponding terms

The attachment shows the sums are equal. (It is convenient to let a spreadsheet do the tedious repetitive work.)

__

7. To find 'a' and 'b', we only need to consider the matrix elements that involve those variables.

element 11: 5 = b +2   ⇒   b = 3

element 21: a = 2 +2a   ⇒   a = -2   (add -a-2 to both sides to get this)

__

8.  There are issues with this equation. It is incomplete and inconsistent.

element 11: p = p+4   ⇒   no solution

element 21: r = 0 +(2r  s)   ⇔   missing math symbol; problem is incomplete

element 12: q = 6 + (p +q)   ⇒   p = -6; q = anything

element 22: s = 2s +2   ⇒   s = -2   (add -s-2 to both sides)

_____

Additional comment

When a problem has issues of the kind that show up in question 8, I suggest that you have your teacher show you how to work the problem. If they're paying attention, they will discover the issues for themselves.

If they are able to work the problem, it will be because they filled in the missing information and resolved the inconsistencies. This will let you see the intended question.

Answer:

  2.36 liters

Step-by-step explanation:

The volume Janet wants is 1/3 of 1/2 of the volume of a sphere with radius 15 cm. The formula for the volume of a sphere is given.

The water volume is ...

  V = (1/3)(1/2)(4/3π)(15 cm)³ = 750π cm³ ≈ 2356 cm³

There are 1000 cm³ in 1 liter, so Janet needs about ...

  2356 cm³/(1000 cm³/L) = 2.356 L

Janet should put about 2.36 liters of water in the fish tank.

Answer:

it is all I could.

Hope it helps

Answer:

$3.75

it's pretty simple you multiply $3.25 times the amount of days he spent the money so 5 which gives you $16.25 then subtract that out of $20 and you'll have $3.75 (:

Step-by-step explanation:

In a simple linear regression model, the coefficient of the independent variable (x) in the estimated sample regression equation indicates the change in the predicted value of the dependent variable (y) when x increases by one unit. This coefficient is also known as the slope of the regression line. Therefore, to calculate the predicted value of y, we multiply the coefficient by the value of x and add the intercept.

In a simple linear regression model, the coefficient that indicates the change in the predicted value of y when x increases by one unit is the "slope coefficient" or the "regression coefficient" (usually denoted as b1). This coefficient represents the relationship between the independent variable x and the dependent variable y.

The linear regression equation is given as:

y = b0 + b1 * x

Where:
- y is the predicted value of the dependent variable
- b0 is the intercept coefficient (where the line intersects the y-axis)
- b1 is the slope coefficient (the change in y when x increases by one unit)
- x is the independent variable

In this equation, b1 indicates the change in the predicted value of y when x increases by one unit.

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