PART 2
same for the other one last 3 question

The main idea behind statistical inference is that through the use of sample data, we are able to draw conclusions about the population from which the data was drawn (option c).

Statistical inference allows us to make inferences and draw conclusions about a larger population based on the analysis of a smaller representative sample.

By collecting data from a sample, we can use statistical methods to analyze and summarize the information. These methods include estimating population parameters, testing hypotheses, and making predictions.

The key assumption underlying statistical inference is that the sample is representative of the larger population, allowing us to generalize the findings to the population as a whole.

Statistical inference provides a way to make reliable and informed decisions, identify patterns and relationships, and make predictions about future observations based on the available data. It allows researchers, scientists, and decision-makers to make evidence-based conclusions and draw meaningful insights from limited observations.

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Answer:

4=3

x=1

4=3x

4/3=x

1.3=x

Question 4

\(g=4x+5xy \\ \\ g=x(4+5y) \\ \\ x=\frac{g}{4+5y}\)

Question 5

\(w=4ax-9x \\ \\ w=x(4a-9) \\ \\ x=\frac{w}{4a-9}\)

Question 6

\(z=6x+ox+2 \\ \\ z-2=6x+ox \\ \\ z-2=x(o+6) \\ \\ x=\frac{z-2}{o+6}\)

In order to determine whether or not the method of undetermined coefficients can be applied to find a particular solution of the given equation, we must first check if the right-hand side of the equation is in the correct form.

That is, it must be a linear combination of exponential and/or trigonometric functions, or a product of these functions with polynomials. In this case, the right-hand side is +(-1)e(t), which is a linear combination of an exponential function and a constant. Therefore, the method of undetermined coefficients can be applied to find a particular solution to the given equation.

In order to determine whether the method of undetermined coefficients can be applied to find a particular solution for the given equation y'' + 2y' - y = (-1)e^(t), we need to analyze the form of the non-homogeneous term, which is (-1)e^(t). The method of undetermined coefficients can be applied when the non-homogeneous term is a polynomial, an exponential, a sine or cosine function, or a combination of these types.

In this case, the non-homogeneous term is an exponential function (-1)e^(t). Therefore, the method of undetermined coefficients can be applied to find a particular solution for the given equation.

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Answer:

Step-by-step explanation:

1,2,4

With $240, Mike's Music can play for 5 hours and 20 minutes. This calculation is obtained by dividing the total amount by the hourly rate of $45 and converting the remainder into minutes.

To determine the number of hours Mike's Music can play with $240, we need to divide the total amount by the hourly rate.

Hourly rate of Mike's Music: $45

Total amount: $240

To find the number of hours, we divide the total amount by the hourly rate:

Number of hours = Total amount / Hourly rate

Number of hours = $240 / $45

Number of hours = 5.33 hours

Since we have obtained a decimal value, we need to convert it into hours and minutes. To do this, we can consider that 0.33 hours is equivalent to 20 minutes (1/3 of an hour). Therefore, we can add 20 minutes to the whole number of hours:

Number of hours = 5 hours

Number of minutes = 0.33 hours * 60 minutes/hour ≈ 20 minutes

Thus, with $240, Mike's Music can play for approximately 5 hours and 20 minutes. This means that you can hire Mike's Music for 5 hours and 20 minutes with the given budget.

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The row where three consecutive entries occur in the ratio 3:4:5 is row 7 in Pascal's Triangle.

To find the row in Pascal's Triangle where three consecutive entries occur in the ratio 3:4:5, we can use the property of Pascal's Triangle, where each entry is the sum of the two entries above it.
Let's denote the three consecutive entries in the ratio as 3x, 4x, and 5x. Since these are consecutive entries, we can use the following relationships from Pascal's Triangle:
1. 4x = C(n, k) = C(n-1, k-1) + C(n-1, k), where C(n, k) represents a binomial coefficient.
2. 3x = C(n-1, k-1) and 5x = C(n-1, k).
Now, we can write the equation:
4x = 3x + 5x => x = 3C(n-1, k-1) = 5C(n-1, k).
We can see that 3 divides C(n-1, k) and 5 divides C(n-1, k-1). Let's try different values of n until we find the smallest integer that fits this condition.
For n = 6:
C(5, 1) = 5, which is divisible by 5.
C(5, 2) = 10, which is not divisible by 3.
For n = 7:
C(6, 1) = 6, which is not divisible by 5.
C(6, 2) = 15, which is divisible by 3.

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6.38 * 10^3 = 6380 kilometers.

Hope this helped!

Answer:

6380km

Step-by-step explanation:

10³ is just 1000 if you think about it.

6.38 multiplied by 1000 would just mean you need to move the decimal to the right 3 times.

Also if you look up the earth's radius on wikipedia, it says 6,371km which is close to 6,380km.

The probability that at least one of them is a girl is 0.9781

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

P(Boy) = 0.529

Number of selection, n = 6

Using the above as a guide, we have the following:

P(At least 1 girl) = 1 - P(No girl)

Substitute the known values in the above equation, so, we have the following representation

P(At least 1 girl) = 1 - (0.529)^6

Evaluate

P(At least 1 girl) = 0.9781

Hence, the probability is 0.9781

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Answer:

x = 7

Step-by-step explanation:

5x - 1 + 8x + 5 = 95

13x + 4 = 95

13x = 91

x = 7

Triangle in 95° so x is

»8x + 5° + 5x - 1° = 95°

»13x + 4° = 95°

»13x = 91°

»x = 91°/13

»x = 7°✅

Answer:

4800$

Step-by-step explanation:

1 day = 600

7 years = 600 x 2 = 1200$

14 years = 1200 x 2 = 2400$

21 years = 2400 x 2 = 4800$

The solution to the inequality expression x + 1 ≥ 3 and 4/3x < -8 in interval notation is (-6, 2]

The inequality expression is given as

x+1 >_ 3 or 4/3x < -8

Rewrite the given expression properly

So, we have the following representation

x + 1 ≥ 3 or 4/3x < -8

Evaluate the like terms in the above expression

This gives

x ≥ 2 or 4/3x < -8

Make the coefficient of x 1

So, we have

x ≥ 2 or x < -6

Rewrite as

2 ≤ x or x < -6

Combine the inequalities

2 ≤ x < -6

Express as interval

(-6, 2]

Hence, the solution is (-6, 2]

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The probability of winning the cup prize is equal to 1/5 and in percentage it is 20%.

Probability is always defined as the ratio of the number of the favorable outcomes to the total number of the outcomes in other words the probability is a number that shows the happening of any event.

Probability = Number of favorable outcomes / Number of total sample

Since there are five cups overall and only one of the cups has a one marble, she has a 1/5 or 20 percent chance of winning the prize.

The probability will be calculated as,

P = 1 / 5

P = 0.2

P = 20%

Therefore, the probability of winning the cup is equal to 1/5 and in percentage it is 20%.

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Answer:

how do u except me to help u when I cant help my self lol

Step-by-step explanation:

X + 1 by x = 99 find the value of 100x by 2x square + 102x + 2

1

SEE ANSWER

Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Using Mathematical operations we can conclude that Jill gave 11 brownies to her friend.

A mathematical function known as an "operation" in mathematics is one that converts zero or more input values into a precisely specified output value.

The quantity of operands has an impact on the operation's complexity.

Most people concur that the four basic mathematical operations are addition, subtraction, multiplication, and division.

So, we know that Jill has 3 full pans of brownies.

Each pan contains 110 brownies.

So total brownies Jill has:
10*3 = 30 brownies

Now, she gave 3/8 brownies to her friend.

So, the number of brownies Jill gave away are:

30 * 3/8

15 * 3/4

45/4

11.25

Rounding off: 11

Therefore, using Mathematical operations we can conclude that Jill gave 11 brownies to her friend.

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

Do the math. it is 44

Step-by-step explanation:

do the math and find out how

The equation in slope-intercept form of the line that passes through (1,8) and is perpendicular to 3x + 7y = 0 is :

y = (7/3)x - (19/3).

To write the equation in slope-intercept form, we need to find the slope of the line that passes through (1,8) and is perpendicular to 3x + 7y = 0.

First, we need to rearrange the equation 3x + 7y = 0 into slope-intercept form:

7y = -3x
y = (-3/7)x

The slope of this line is -3/7.

Since the line we are trying to find is perpendicular to this line, its slope will be the negative reciprocal of -3/7:

m = 7/3

Now we can use the point-slope formula to write the equation of the line that passes through (1,8) with slope 7/3:

y - 8 = (7/3)(x - 1)

Finally, we can rearrange this equation into slope-intercept form:

y = (7/3)x - (19/3)

So, the equation in slope-intercept form of the line that passes through (1,8) and is perpendicular to 3x + 7y = 0 is y = (7/3)x - (19/3).

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Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

The answer would be 466.24

466.24 hope this helps you

13/4 is the value of  \(4\frac{1}{2} -(2\frac{1}{2}-1 \frac{1}{4})\)

A fraction represents a part of a whole.

The given expression is \(4\frac{1}{2} -(2\frac{1}{2}-1 \frac{1}{4})\)

Convert each mixed fraction to improper fraction

9/2-(5/2-5/4)

9/2-(10-5/4)

9/2-5/4

LCM of 4 and 2 is 4

18-5/4

13/4

Hence, 13/4 is the value of  \(4\frac{1}{2} -(2\frac{1}{2}-1 \frac{1}{4})\)

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Answer:

2) 3

Step-by-step explanation:

Answer:

6sin^2(x) = 7 - 5cos(x)

6(1 - cos^2(x)) = 7 - 5cos(x)

6 - 6cos^2(x) = 7 - 5cos(x)

6cos^2(x) + 5cos(x) -1 = 0

(6cos(x) - 1)(cos(x) + 1) = 0

cos(x) = 1/6

x = arccos(1/6)

x = 1.40334825 + 2k*pi, 4.87983706 + 2k*pi

cos(x) = -1

x = pi + 2k*pi

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

1. ?

2. d

3. g

4. f

5. k

6. ?

7. j

8. l

9. h

10. b

11. ?

12.?

Answer:

43,000: 4.3×10^4

0.0072: 7.2×10^-3

0.0000901: 9.01×10^-5

Step-by-step explanation:

scientific notation: a×10^b, where should be 0<a<10

Step 1. Count the zeros

Step 2. Look at the number left, and determine whether or not it fits in the range of [a]. If not, we divide or multiply 10 to get it fit

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

43,000: 4.3×10^4 (since 43 does not fit, we divide by 10 to get it fit)

0.0072: 7.2×10^-3 (since 0.72 does not fit, we multiply 10 to get it fit)

0.0000901: 9.01×10^-5 (since 0.901 does not fit, we multiply 10 to get it fit)

Hope this helps!! :)

Please let me know if you have any question

A. The next four terms in the sequence are 17, 20, 23, and 26.

B. f(n) = 2 + (n - 1) * 3

C.  The sign of f(59) is positive.

Part A:

To determine the next four terms in the sequence, we need to identify the pattern. Let's denote the terms in the sequence as f(n), where n represents the position of the term.

Given that we have not been provided with the sequence explicitly, I will assume that you have a given sequence and will use it to illustrate the process.

Let's say the sequence is: 2, 5, 8, 11, 14, ...

To find the pattern, we observe that each term is obtained by adding 3 to the previous term. So, the common difference between consecutive terms is 3.

Next four terms:

f(5) = f(4) + 3 = 14 + 3 = 17

f(6) = f(5) + 3 = 17 + 3 = 20

f(7) = f(6) + 3 = 20 + 3 = 23

f(8) = f(7) + 3 = 23 + 3 = 26

Therefore, the next four terms in the sequence are 17, 20, 23, and 26.

Part B:

To write the explicit equation for f(n) to represent the sequence, we need to determine the initial term or f(1) and the common difference.

In the given sequence, the initial term is 2, and the common difference is 3. Therefore, we can express the explicit equation for the sequence as:

f(n) = 2 + (n - 1) * 3

Part C:

To determine the sign of f(59), we substitute n = 59 into the explicit equation we derived in Part B:

f(59) = 2 + (59 - 1) * 3

= 2 + 58 * 3

= 2 + 174

= 176

Since f(59) = 176, which is a positive value, the sign of f(59) is positive.

Assuming the pattern continues, the next four terms in the sequence are 17, 20, 23, and 26. The explicit equation for f(n) representing the sequence is f(n) = 2 + (n - 1) * 3. Lastly, the sign of f(59) is positive.

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