Identify the type of sampling that is used: A list of all registered voters in a state is given to a researcher who would like to determine if a particular candidate is likely to be elected. The researcher has a computer randomly generate several hundred numbers, and those numbers are used to select names from the list to form a sample

Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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Answer:

The surface is 7.4344433322 acording to the exact dynamiter and angle of the pyrmaids

Step-by-step explanation

Im smart like that :)

Answer:

1. 224

2. 424.8

3. 85.4

4. 960

Step-by-step explanation:

I used the triangle calculator :)

hope it helps!

Given that Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with 3/4 yards of fabric. The fabric costs $8 per yard. The total cost of the fabric is $78.

The total cost formula is used to get a total by combining the variable and fixed expenses of delivering commodities.

The step-by-step is given as follows:

1) Total cost  (TC) = 3/4 (P) x 13

2) 1 pair of wings = 3/4 yard fabric

Recall that the price of 1 yard of fabric = $8

3) 1 pair of wings = $8 x 3/4 = $6

4) Therefore total cost = $6 x 13 = $78

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Answer:

a) The estimates for the solutions of \(4\cdot x^{2}-4\cdot x -1 = 0\) are \(x_{1}\approx -0.25\) and \(x_{2} \approx 1.25\).

b) The estimates for the solutions of \(4\cdot x^{2}-4\cdot x -1 = 2\) are \(x_{1}\approx -0.5\) and \(x_{2} \approx 1.5\)

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial \(y = 4\cdot x^{2}-4\cdot x -1\), where \(x\) is related to the horizontal axis of the Cartesian plane, whereas \(y\) is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a) \(4\cdot x^{2}-4\cdot x -1 = 0\)

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

\(x_{1}\approx -0.25\), \(x_{2} \approx 1.25\)

b) \(4\cdot x^{2}-4\cdot x -1 = 2\)

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

\(x_{1}\approx -0.5\), \(x_{2} \approx 1.5\)

Answer:

2c+4d

if c=8 and D=5,

2(8)+4(5)

16+20

=36

Step-by-step explanation:

The probability that the salesperson will make exactly two sales in a day is 0.1489, the probability that the salesperson will make at least two sales in a day is 0.1451, and the expected number of sales per day is 0.8.

Let X be the number of sales made per day by the salesperson.

Then X follows a binomial distribution with parameters n = 8 and p = 0.10.a. To find the probability that the salesperson will make exactly two sales in a day, we need to find P(X = 2).

P(X = 2) = nCx * p^x * q^(n-x) = 8C2 * (0.10)^2 * (0.90)^6 = 28 * 0.01 * 0.5314 = 0.1489

Therefore, the probability that the salesperson will make exactly two sales in a day is 0.1489.

b. To find the probability that the salesperson will make at least two sales in a day, we need to find P(X ≥ 2).

P(X ≥ 2) = 1 - P(X < 2) = 1 - [P(X = 0) + P(X = 1)] = 1 - [(8C0 * (0.10)^0 * (0.90)^8) + (8C1 * (0.10)^1 * (0.90)^7)] = 1 - [1 * 0.90^8 + 8 * 0.10 * 0.90^7] = 0.1451

Therefore, the probability that the salesperson will make at least two sales in a day is 0.1451.

c. Expected number of sales per day = E(X) = n * p = 8 * 0.10 = 0.8

Therefore, the expected number of sales per day is 0.8.

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Answer:

34 minus -6 minus= -6

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3-5=-8

-11-(-3)=-11+3=-8

-19-(-11)=-19+11=-8

it is an A.P. and c.d.=-8

so nth term is

an=a1+(n-1)d

an=5-(n-1)(-8)

an=5+8n-8

an=8n-3

Answer:

Profit = $1 x Quantity - $50

Answer:

y = 45, x = 25

Step-by-step explanation:

Since 120 and (2y + 30) are vertical angles, (2y + 30) will equal 120.

2y + 30 = 120, Subtract by 30 on both sides

2y = 90, Divide 90 by 2

y = 45

Since 120 and (2x + 10) equal a straight line, it's a supplementary angle. Supplementary angles are equal to 180. Then you do 180 - 120, which equals 60. That means (2x + 10) equals 60.

2x + 10 = 60, Subtract 10 by both sides

2x = 50, Divide 50 by 2

x = 25

(note - an equation contains an is equal to sign [=] and if a problem does not have an is equal to sign then it becomes an expression)

just add all of them making an equation like

2n° + 55° + 49° = 180° (angle sum property)

2n° + 104 = 108°

2n° = 108° - 104

i.e., 2n° = 76°

n = 76/2 therefore,

n = 38

Answer:

1

Step-by-step explanation:

x-1+ 1 /5*( x-1)=0

(x-1)*6/5=0

x=1

The antiderivative of (7/(x+2)) + (5/(x+1)) is: 7 ln|x+2| + 5 ln|x+1| + 20e^5x + C.

Given function: f(x) = x² + 4x + 4

We are supposed to find the following: 1) Axis of symmetry. 2) Vertex. 3) Range.

a) The axis of symmetry of the parabola is given by the formula: x = -b/2a

The given equation is in the form: ax² + bx + c = 0

Here, a = 1, b = 4 and c = 4

Now, the axis of symmetry (x) is:

-b/2a

=> -4/2(1)

=> -2

Therefore, the axis of symmetry is -2.

To find the vertex of the parabola, we need to substitute the value of x in the given equation.

f(x) = x² + 4x + 4

=> f(-2) = (-2)² + 4(-2) + 4

=> f(-2) = 4 - 8 + 4

=> f(-2) = 0

Therefore, the vertex is (-2, 0).The range of the given parabola is [0, ∞) as the minimum value of the quadratic equation is 0.

b) We need to differentiate the given function f(x) to find its derivative.

f(x) = x² + 4x + 4

Differentiating f(x) with respect to x, we get:

f'(x) = d/dx (x² + 4x + 4)

= d/dx (x²) + d/dx (4x) + d/dx (4)

=> f'(x) = 2x + 4

c) We need to find the antiderivative of the given expression:

(12x + 5x + 20e^5x)dx/(x + 2)(x + 1)

Let's use partial fraction decomposition to simplify the expression:

(12x + 5x + 20e^5x)dx/(x + 2)(x + 1) = A/(x + 2) + B/(x + 1)

Here, A = 7 and B = 5

We can now rewrite the expression as:

(7/(x+2)) + (5/(x+1))

Now, we need to find the antiderivative of the above expression by using the following rules:

∫du/u = ln|u| + C

∫e^u du = e^u + C

∫u^n du = (u^(n+1))/(n+1) + C

The antiderivative of (7/(x+2)) + (5/(x+1)) is: 7 ln|x+2| + 5 ln|x+1| + 20e^5x + C

Therefore, the antiderivative of the given expression is 7 ln|x+2| + 5 ln|x+1| + 20e^5x + C.

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The value of P(0) and P(6) of The Polynomial Function above are 2 and 253/2 respectively.

Polynomial function refers to the algebraic expression that consists of several terms.

Polynomial function can be of different degrees, like linear polynomial (degree 1), quadratic polynomial (degree 2), cubic polynomial (degree 3), and so on.

The given polynomial function is P(w) = 6w² - 20w + 2.

To find P(6), substitute w = 6 in P(w).

Therefore,P(6) = 6(6)² - 20(6) + 2P(6) = 6(36) - 120 + 2P(6) = 216 - 120 + 2P(6) = 96

Adding P(6) = 349 to this equation, we get:2P(6) = 349 - 96 = 253

Therefore, P(6) = 253/2

Now, to find P(0), substitute w = 0 in P(w).

Therefore, P(0) = 6(0)² - 20(0) + 2 = 2

Therefore, P(0) = 2

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The probability that event a occurs in one trial of an experiment is 0.4. To calculate the probability that the event a occurs at least once in three independent trials, we need to use the complement rule.

The probability that the event a does not occur in one trial is 0.6. Therefore, the probability that it does not occur in any of the three trials is 0.6 x 0.6 x 0.6 = 0.216. Then, the probability that the event a occurs at least once is 1 - 0.216 = 0.784. Hence, the answer is (b) 0.784.

In summary, the probability that event a occurs in one trial of an experiment is 0.4. To calculate the probability that the event a occurs at least once in three independent trials, we use the complement rule and find the probability that the event does not occur in any of the trials, which is 0.216. Then, we subtract this from 1 to obtain the probability that the event occurs at least once, which is 0.784.

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Answer:

6 boxes wide

6 boxes wide

or 2high 2high 2high 2high 2high 2high

Step-by-step explanation:

6 wide and 6 wide to make 12. 6x2=12

2 high ×6 2×6=12

Answer:

EEEEEEEEEEEEEEEEEE

Step-by-step explanation:

The best interpretation of the statement "the chances of winning a prize are 1 out of 10" is that if many people buy a ticket, about 1 in 10 will win.

This statement means that for every 10 tickets sold, on average, only one ticket will win a prize. It does not guarantee that you will win a prize if you buy a single ticket or even several tickets. The probability of winning a prize remains the same for every ticket purchased. It is important to note that winning a prize in a lottery is largely a matter of luck, and the odds are always against the player. While buying more tickets may increase your chances of winning, it does not guarantee a win.

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Answer:

The Correct answer is 1

2

Answer:

x = 14

Step-by-step explanation:

Just subtract 21 - 7.

But here's more work:

x + 7 = 21

Start by subtracting 7 from both sides:

x + 7 - 7 = 21 - 7

Simplifying:

x = 14

Answer:

x = 14

Step-by-step explanation:

21 - 7 = 14

The Binary Search Tree is as follows:

                                                   E

                                            /            \

                                         S                T

                                        /                    \

                                      I                       W

                                   /                            \

                                A                               M

                              /                                    \

                             C                                     G

                              \

                                D

The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5

Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:

post-order sequence is: C, D, A, G, M, I, W, T, S, E.

To draw the binary search tree for the given post-order sequence, follow the steps below:

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Answer: D) Reflection across the y-axis; \(270^{\circ}\) counterclockwise rotation about the origin

Fill the 3-gallon jug all the way.

Pour those 3 gallons of water into the 5-gallon jug.

Fill the 3-gallon jug all the way again, and pour as much as it takes to fill the 5-gallon jug (which is 2 gallons).

Now you have 5 gallons in the 5-gallon jug and 1 gallon in the 3-gallon jug.

Empty the 5-gallon jug.

Pour the 1 gallon in the 3-gallon jug into the 5-gallon jug.

Now fill the 3-gallon jug all the way, and pour all 3 gallons into the 5-gallon jug, which, added to the 1 gallon already in there, and leaves you with exactly 4 gallons.

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Fill the 3-gallon jug all the way.

Pour those 3 gallons of water into the 5-gallon jug.

Fill the 3-gallon jug all the way again, and pour as much as it takes to fill the 5-gallon jug (which is 2 gallons).

Now you have 5 gallons in the 5-gallon jug and 1 gallon in the 3-gallon jug.

Empty the 5-gallon jug.

Pour the 1 gallon in the 3-gallon jug into the 5-gallon jug.

Now fill the 3-gallon jug all the way, and pour all 3 gallons into the 5-gallon jug, which, added to the 1-gallon already in there, leaves you with exactly 4 gallons.

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a. A sample size of approximately 170 is needed if no estimate of p is available.

b. A sample size of approximately 135 is needed to construct a 98% confidence interval with a margin of error of 0.05, using the estimated proportion of 0.70.

c. If the educator wanted to estimate the proportion in the entire United States rather than in Colorado, the necessary sample size would be larger.

A confidence interval is a type of interval computation used in statistics that determines the true value of an unknown parameter based on the observed data. It is related to the degree of confidence that measures the degree of confidence at which the interval estimates the deterministic parameter.

a. To find the sample size needed for a 98% confidence interval with a margin of error of 0.05, we can use the formula:

n = (Z * √(p_hat * (1 - p_hat))) / E

where:

- n is the required sample size

- Z is the Z-value corresponding to the desired confidence level (98% in this case)

- p_hat is the estimated proportion (0.70)

- E is the margin of error (0.05)

Substituting the given values into the formula:

n = (Z * √(p_hat * (1 - p_hat))) / E

  = (2.33 * √(0.70 * (1 - 0.70))) / 0.05

  ≈ 134.64

Therefore, a sample size of approximately 135 is needed to construct a 98% confidence interval with a margin of error of 0.05, using the estimated proportion of 0.70.

b. If no estimate of p is available, we can use a conservative estimate of 0.5, which gives the maximum sample size required. Using the same formula as in part (a):

n = (Z * √(p_hat * (1 - p_hat))) / E

  = (2.33 * √(0.5 * (1 - 0.5))) / 0.05

  ≈ 169.64

Therefore, a sample size of approximately 170 is needed if no estimate of p is available.

c. If the educator wanted to estimate the proportion in the entire United States rather than in Colorado, the necessary sample size would be larger. This is because the United States has a larger population compared to Colorado, and when estimating proportions with a certain level of confidence and margin of error, a larger sample size is required to achieve the same level of precision. In other words, to estimate a population proportion with a given margin of error, a larger sample size is needed when the population size is larger.

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Answer:

32x

Step-by-step explanation:

BMW of North America recalled certain vehicles with possibly defective head airbags in February 2018, and claimed that 4% of the recalled vehicles actually had defective airbags. Let X be the number of vehicles that have defective airbags out of six selected vehicles. The probability of a defective airbag is 4%, while the probability of a non-defective airbag is (1-0.04) = 0.96.

Using the binomial probability formula, the probability of x successes in n independent trials with the probability of success p is given by P(x) = nCx px(1 - p)n-x, where nCx represents the number of ways to choose x items from n distinct items. In this case, x = 0 (i.e., none of the six vehicles have a defective airbag), p = 0.04, and n = 6. Hence, we have:

P(0) = 6C0 (0.04)0 (0.96)6-0= 1(1)(0.96)6= 0.850 (approx)

Therefore, the probability that none of the six vehicles has a defective airbag is approximately 0.850.

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