This example using cluster sampling, how do we know whether these estimates are considered valid?

In 8 years Damon will be 16 year's old.

We have Nora who 3 time as old as Damon and in 8 years she will be only 2 time as old as Damon.

We have to determine how old will Damon  be in 8 years.

Your present age = x.

Hence, your sister's present age = x + 4.

After five years, your age = x + 5.

Hence, your sister's age will be = x + 9.

According to question, we have -

Assume that the present age of Damon is x.

Then, Nora's age will be = y = 3x.

After 8 years -

Damon's age = x + 8

Nora's age = 3x + 8

Therefore -

3x + 8 = 2(x + 8)

3x + 8 = 2x + 16

x = 8

Hence, in 8 years Damon will be = 8 + 8 = 16 year's old.

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Answer:

-----------------------------

Slope-intercept form:

Use two points on the line:

The first point is the y-intercept:

Find the slope:

The line is:

Answer:

49680

Step-by-step explanation:

Multiply 54,000 by 92%. 100%(this years population)-8%=92%

54000*0.92 = 49680, people one year ago.

The approximate value of the expression log(3 × 47) is 4.235   .

In the question ,

it is given that ,

the approximate value of log(3) ≈ 1.1

and the approximate value of log(47) ≈ 3.85

we have to find the approximate value of log(3×47),

So , By the property of Logarithm , which states that

log(a × b) = log(a) × log(b)

we get ,

log(3 × 47) = log(3) × log(47)

substituting , the values of log(3) and log(47) ,

we get ,

log(3 × 47) = 1.1 × 3.85

≈ 4.235

Therefore , The approximate value of log(3 × 47) is 4.235   .

The given question is incomplete , the complete question is

Use the values ln(3)≈1.1 and ln(47)≈3.85 to find the approximate value of log(3×47).

(a) log(3×47)≈3.5

(b) log(3×47)≈4.95

(c) log(3×47)≈4.235

(d) log(3×47)≈0.286

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The area of the actual swimming pool is 288 square feet

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

The area of the actual swimming pool is calculated as

Area = Product of dimensions

Using the scale measurement, we have

Area = 8 * 18/6 * 8 * 9/6

Evaluate

Area = 288 square feet

Hence, the area of the actual swimming pool is 288 square feet

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Answer:

2x-27=-1

This is the equa

Step-by-step explanation:

Answer

x=13

This is the answer

Answer: 13

Step-by-step explanation:

2n-27=-1

2n   (-27) +27=(1) +27

         2n=26

2n divided by 2n cancels out  and 26 divided by 2n =13n or n=13

Answer:

4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x

2x + 2 = 2x + 8

2 ≠ 8, so this equation has no solutions.

Answer:

No solution

Step-by-step explanation:

Given:

\(4x-3-2x+5=6-3x+2+5x\)

rearrange terms so like terms are together

\(4x-2x-3+5=6+2-3x+5x\)

combine like terms

\(2x+2=8+2x\)

subtract 2x to both sides

\(2\neq 8\)

2 doesn't equal 8, meaning that there are 0 solutions to this problem.

Hope this helps! :)

Answer:

Step-by-step explanation:

The critical value, given the sample size of 5 and the confidence level of 99. 0 percent would be 16. 812.

The critical values for the chi-squared (χ^2) distribution depend on the degree of freedom and the level of significance.

The degree of freedom for a chi-squared distribution typically equals the sample size minus 1 so the degrees of freedom here is:

= 5 - 1

= 4

The level of significance would be:

= 1 - 99. 0 %

= 0. 01

The critical value of the sample would therefore be found on a chi -squared distribution table for df = 4 and α = 0.01 to be 16. 812.

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Answer:

Kindly check explanation for other solutions

Years, Inning and saves are statistically significant ; ERA is not.

Step-by-step explanation:

Earning for staying one additional year :

Multiply slope value of years * 1 = 0.052 * 1 * 100 % = 5.2% (earning increases by 5.2%)

Relives with 10 more saves :

10 * 0.0032 * 100% = 3.2% (earning increases by 3.2%)

Having 100 more innings :

100 * 0.00089 * 100% = 8.9%

If ERA is reduced by 1.5 ; earning will increase by (0.0085*100)% * 1.5 = 1.275%

B.) At 5% level of confidence :

α = 1.64

Years = 0.052/0.026=2

Inning = 0.00089/0.00020 = 4.45

Saves = 0.0032/0.0018 = 1.78

ERA = 0.0085/0.0168 = 0.51

Years, Inning and saves are statistically significant as they are greater than α ; As for ERA, it is not statistically significant (0.51 < 1.64)

The amount of water tank  with water after 10 minutes will be 4950 liters.

To solve this problem, we need to keep track of the net flow of water into the tank over the course of 10 minutes. The tap filling water adds water to the tank, while the tap emptying water removes water from the tank.

Let's calculate the net flow rate of water per minute:

Flow rate = (filling tap flow rate) - (emptying tap flow rate)

Flow rate = 40 L/min - 25 L/min

Flow rate = 15 L/min

Now, we can calculate the net flow of water over 10 minutes:

Net flow of water = (flow rate) * (time)

Net flow of water = 15 L/min * 10 min

Net flow of water = 150 L

Therefore, over the course of 10 minutes, the net flow of water into the tank is 150 liters.

Initially, the tank had 4800 liters of water. Adding the net flow of water, we can determine the final amount of water in the tank:

Final amount of water = (initial amount of water) + (net flow of water)

Final amount of water = 4800 L + 150 L

Final amount of water = 4950 L

After 10 minutes, there will be 4950 liters of water in the tank.

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(-7/5) is the multiplicative inverse of the number - 5/7.

The answer to the question is (b/a), which is the multiplicative inverse of the fraction number that is (a/b).

So, according to the question:

The reciprocal of (-5/7) is (-7/5).

As a result, (-7/5) is the right response to a multiplicative inverse.

The reciprocal of the supplied integer can be used to establish a number's multiplicative inverse. The denominator must not be 0 in order for a multiplicative inverse to exist. And the result of the multiplication should be 1.

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Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

The intervals of each behavior of the function are given as follows:

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Answer:

|3| < |-7| and 3>-7

Step-by-step explanation:

The absolute value of -7 = 7, and 3 < 7.

The formula of the function, where x is entered in radians is   y = -3sin(πx/5) -6

The key components: amplitude, period, phase shift, and vertical shift.

Amplitude is the distance between the midline and max/min points. Midline at (0, -6), so distance to min point (2.5, -9) is 3. Amplitude: 3.

Vertical shift: Displacement along y-axis. Midline at y = -6, vertical shift is -6. Period: distance between max/min points. Graph intersects midline at (0, -6) and minimum point at (2.5, -9).  Period is 5 (2 * 2.5). Freq: Reciprocal of period, 1/5.

Phase shift: Horizontal shift of graph. Graph intersects midline at x=0, no phase shift.

Hence:

The general form of the sinusoidal function is y = A sin (B(x-C)) + D

So, Substituting the known values into the general formula:

y = 3 x  sin((1/5)x - 0) - 6

Hence: Simplifying it will be:

y = 3 x sin(πx/5) - 6

Then, the formula of the function, where x is entered in radians, is: y = -3sin(πx/5) - 6

Based on the image attached, the first given point is one that informs one that the function is a sine (not a cosine) function, and that it is one that has its offset as -6.

Also, the second given point is one that informs you of the first peak is at x=2.5, hence the argument of the sine function is π/2 if x=2.5: (πx/5).

Based on the fact that the peak is 3 units smaller than the midline, the amplitude is said to be -3.

Therefore the  formula for the function is  seen as:  y = -3·sin(πx/5) -6

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Given: Two inequalities below

Callculate the y intercept for equation 1

Calculate the x-intercept of equation 1

The graph below showed the solution of the inequalities

The graph above showed the solution of inequalities

y>2 with coordinate (0, 2) is a horizontal line with dash lines

The coordinate of y-3x> 6 is a traight line with dash lines

The solution is as shown in the diagram above

Answer: God

Step-by-step explanation:

The reason it’s god is because god created everything so he know everything. So your answer is god

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

75

Step-by-step explanation:

Answer:

The answer is the 3rd one, not equivalent. 8x+4y=4(2x+y)

Answer:

2 11/60

Step-by-step explanation:

15/60 -4/60=11/60

2+11/60=2 11/60

Answer: 80

Step-by-step explanation:

8 times more than ten is 80

Answer:

50.24

-

And, you're not bad at math! You goot this correct! :)

Step-by-step explanation:

c=25.12

we can use this to find the raidus!

-

plug it back into the circumference formula first.

c=(pi)(d)

25.12=3.14*d

divide both sides by 3.14!

d=8 but we need the radius, so we just divide by 2. 8/2 = 4. so the raidus is 4!

-

now we plug it into the area of a circle formula.

π · r2

3.14 * 4^2

3.14*16

50.24

The solution is, the value of the variables are x = 40 and, y = 160.

Notice that "x" and "3x+20" are supplementary angles so their sum is 180°

(x) + (3x + 20) = 180

4x + 20 = 180

4x = 160

x = 40

To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.

(x) + (y - 20) = 180°

40 + y - 20 = 180

y + 20 = 180

y = 160

Answer: x=40, y=160

The solution is, the value of the variables are x = 40 and, y = 160.

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complete question:

Find the value of each variable

Since the information required us that the equation has to start in zero we can think of functions like the root of x but also we have to add a value of 1/3. In other words one equation with those characteristics is

Answer:

-6x-42

Step-by-step explanation:

Open parenthesis.

-42-6x is what you get once opened.

Answer:

6x−42

Step-by-step explanation:

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

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Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats