describe the motion of a particle with position (x, y) as t varies in the given interval. x = sin(t), y = cos2(t), −2 ≤ t ≤ 2

Decreasing the tolerable rate and increasing the estimated population deviation rate in an attributes sampling plan would increase the sample size.

In attributes sampling, the sample size is determined based on factors such as the desired level of confidence, tolerable rate, estimated population deviation rate, and acceptable risk of making an incorrect decision.

The tolerable rate represents the maximum allowable deviation rate from the desired quality level. By decreasing the tolerable rate, we are essentially becoming stricter in accepting deviations, which means we need a larger sample size to ensure the desired level of precision in estimating the population deviation rate.

Similarly, increasing the estimated population deviation rate indicates a higher expectation of non-conforming items in the population. In order to capture a sufficient number of non-conforming items and maintain the desired level of precision, a larger sample size is required.

Therefore, both decreasing the tolerable rate and increasing the estimated population deviation rate would have the effect of increasing the sample size in an attributes sampling plan.

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To prove AEB ≅ DEC by ASA (Angle-Side-Angle), the properties that can be used are:

So, the properties to use for proving AEB ≅ DEC by ASA are "Opposite angles are congruent" and "All sides are congruent."

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Answer:

To prove AEB ≅ DEC by ASA (Angle-Side-Angle), the properties that can be used are:

1. Opposite angles are congruent: This property is necessary to establish that ∠AEB ≅ ∠DEC, as both angles are opposite each other in the square ABCD.

2. All sides are congruent: This property is necessary to establish that AE ≅ DE, as both sides are corresponding sides of the square ABCD.

So, the properties to use for proving AEB ≅ DEC by ASA are "Opposite angles are congruent" and "All sides are congruent."

Step-by-step explanation:

Answer:

Step-by-step explanation:

To make each table identical, we need to find the greatest common divisor (GCD) of 8 and 12, which will give us the maximum number of people that can be seated at each table.

We can find the GCD using the Euclidean algorithm:

12 = 8 × 1 + 4

8 = 4 × 2 + 0

Since the remainder is 0, the GCD of 8 and 12 is 4.

Therefore, the event planner can set up tables with 4 people at each table (2 adults and 2 children).

There are a total of 20 people (8 adults + 12 children), so the number of tables needed is:

20 ÷ 4 = 5

Thus, the greatest number of tables the planner can set up is 5.

The volume of the triangular prism is 198 cubic units.

To find the volume of a triangular prism, we need to multiply the area of the base triangle by the height of the prism.

In this case, the base of the triangular prism is a triangle with a base of 11 units and a height of 6 units, so the area of the base is:

Area of base = (1/2) × base × height

Area of base = (1/2) × 11 units × 6 units

Area of base = 33 square units

The height of the prism is given as 6 units.

Therefore, the volume of the triangular prism is:

Volume of prism = Area of base × Height

Volume of prism = 33 square units × 6 units

Volume of prism = 198 cubic units

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Answer:

2.25 kilos of pages of books

Step-by-step explanation:

This is a division question.

54/24 = 2.25 kilos

Answer:

1/24

Step-by-step explanation:

multiply all the values

The equation are given as

1. The equation is given as

The answer is

2. The equation is given as

The answer is

The probability that the light will turn green on one certain day is 0.4096.

Probability is a tool used to assess the likelihood of occurrence. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

The probability mass function of X has the following formula:

P(X=k)

=(k  n)\(0.2^{k}\)×\(0.8^{n-k}\) where k=0,1,…,n

(a) Set n where 5 n=5

P(X=1)

=( 5  1 )\(0.2^{1}\)\(0.8^{4}\)

= 0.4096

(b) Set n = 20

P(X=4)

​=(20  4 )×\(0.2^{4}\) x \(0.8^{16}\)

= 0.218

P(X ≥ 4) =1 − P(X ≤ 4)

=1−P(X = 0)−P(X = 1 )−P(X = 2)−P(X = 3)−P(X = 4)

=0.37

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The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.

Given that,

According to a representative of the Ohio Department of Education, 3% of graduating high school seniors in Ohio have dropped out in recent years. Out of the 600 pupils enrolled, 30 students from Podunk High School dropped out of school last year.

We have to find is there enough data to say that this school's dropout rate is higher than the state average. Using symbols and words, state the alternative and hull hypotheses.

We know that,

n is 600,

3% Ohio high school seniors dropout.

30 dropout out of 600 in Podunk high school.

Here,

H₀: μ₁=μ₂  vs   H₁:μ₁≠μ₂

In coordinates,

H₀⇒ dropout number is equal for both schools.

H₁⇒ dropout number not equal for both schools.

H₀: P=0.03, H₁: P≠0.03.

Therefore, The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.

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Answer:

16

Step-by-step explanation:

tan^-1 (2.1/ 7.2) = 16 .26...

tan 145° is equal to csc 55°. Given that csc 55° is not provided in the options, none of the given options is correct. cotangent is the reciprocal of the sine function.

To find the value of tan 145°, we can use the relationship between tangent and cotangent:

tan x = 1 / cot x

Since cotangent is the reciprocal of the sine function, we can rewrite the given equation as:

csc 55° = 1 / sin 55°

To find the value of sin 55°, we can use the fact that sin x = cos (90° - x):

sin 55° = cos (90° - 55°)

       = cos 35°

Now, we need to find the value of cos 35°. We can use a trigonometric identity:

cos (90° - θ) = sin θ

cos 35° = sin (90° - 35°)

       = sin 55°

Substituting this value back into the equation, we have:

csc 55° = 1 / sin 55°

       = 1 / cos 35°

Now, let's find the value of tan 145° using the relationship between tangent and cotangent:

tan 145° = 1 / cot 145°

Since cotangent is the reciprocal of the sine function, we can rewrite the equation as:

tan 145° = 1 / sin 145°

To find the value of sin 145°, we can use the fact that sin x = sin (180° - x):

sin 145° = sin (180° - 145°)

        = sin 35°

Now, we have:

tan 145° = 1 / sin 145°

        = 1 / sin 35°

Since we previously found that csc 55° = 1 / cos 35°, we can substitute this value into the equation:

tan 145° = 1 / sin 35°

        = csc 55°

Therefore, tan 145° is equal to csc 55°. Given that csc 55° is not provided in the options, none of the given options is correct.

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Answer:

A) x = 2

Step-by-step explanation:

I am not sure but I think this means...

2x + 5 = 3x - 3

5 = 3x - 3 + 2x

5 + 3 = 3x + 2x

8 = 5x

8/5 or 1.6 = x

Answer: 0.10175

Step-by-step explanation:

First, bring the decimal points to the right for both numbers, to be a total of 5 decimal points to the right. Then, with the numbers 25 and 407, multiply them, and we get 10175. Then, we must bring the 5 decimal points back, and we end up with 0.10175.

Answer: 0.10

Step-by-step explanation:

on time4llearning

Using the Rule of 110, Leon should allocate a portion of his $19,500 retirement contribution to stocks based on his age.

The Rule of 110 is a general guideline used to determine the percentage of an individual's investment portfolio that should be allocated to stocks based on their age. According to this rule, the percentage of stocks in the portfolio should be approximately equal to 110 minus the person's age.

In this case, Leon is 55 years old. Therefore, he should allocate approximately 55% (110 - 55) of his $19,500 contribution to stocks.

To calculate the amount Leon should allocate to stocks, we can multiply the contribution amount by the stock allocation percentage:

Stocks allocation = $19,500 x 0.55 = $10,725

Based on the Rule of 110, Leon should allocate approximately $10,725 to stocks for his retirement account this year.

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Answer:

a=2

Step-by-step explanation:

subtract 10 from both sides

2a^3=26-10

simplify

2a^3=16

Divivde both side by 2

a^2=16/2

simplify

a^3=8

Answer:

A.  The graph that Larry created is a correct representation of his company's charges.

Step-by-step explanation:

The equation for the services charges, y, is made up of the $10 initial service call fee plus $5 times the number of hours, x.

y = 5x + 10

Try any 2 values for x to see if they fits the graph.

x(hr)   y($)

0        10

1         15

4        30

This is the line already drawn on the graph.  Larry did everything correctly, so options B, C, and D are all false/incorrect.

When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

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The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?

by breaking it down u can write it as

15p^-4/_20p^-12 * q^-6/q^-3

15/-20=-3/4

using law of indices we have

-3/4p^-4+12 * q^-6+3

-3/4p^8q^-3

the answer is the first own

The coordinates of A are (3, 5).

According to the section formula-

If a point (x , y) divides a line in the ratio of m : n, where the two endpoints of the line are (x1, y1) and (x2, y2), then-

x = (nx1 + mx2)/ (m + n)

and y = (ny1 + my2)/ (m + n)

Here, M (4,6) is the midpoint of AB and B is (5,7)

Let the coordinates of A be (x2, y2)

Therefore,

x1 = 5, y1 = 7

x = 4, y = 6

Since, midpoint divides a line segment into two equal halves, m : n = 1 : 1

Now, substituting the values in the section formula we get-

4 = (5 + x2)/2

4 × 2 = 5 + x2

8 = 5 + x2

5 + x2 = 8

x2 = 8 - 5

x2 = 3

and 6 = (7 + y2)/2

6 × 2 = 7 + y2

12 = 7 + y2

7 + y2 = 12

y2 = 12 - 7

y2 = 5

Thus, the coordinates of A are (3, 5).

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The area inside the circle but outside the square is approximately 0.0474 square units.

To find the area inside the circle but outside the square, we first need to calculate the area of both the circle and the square.

The area of a square is given by the formula: side length squared. So, for a square with a side length of 11, the area would be 11^2 = 121 square units.

The area of a circle is given by the formula: pi times the radius squared. In this case, the radius is √3/3. Plugging this value into the formula, we get pi * (√3/3)^2.

Simplifying this, (√3/3)^2 = 3/9 = 1/3. Therefore, the area of the circle is pi * (1/3).

To find the area inside the circle but outside the square, we subtract the area of the square from the area of the circle. So, the required area is pi * (1/3) - 121.

Calculating this, we get the final answer as approximately 0.0474 square units.

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Answer:

$7.50

Step-by-step explanation:

round 53.43 down to 50

tip = total cost * rate of tip

I hope this helped

Examples of such data include stock prices, economic indicators, and meteorological data such as temperature, wind speed, and barometric pressure.

These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

1. Data where the difference between data values has meaning but there is no defined starting point can be defined as data that is not linearly dependent.

2. Examples of such data include stock prices, economic indicators, and meteorological data. These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

3. Stock prices, economic indicators, and meteorological data all have different scales and can move in different directions, making it difficult to track the exact difference between data points.

4. Despite this, these types of data still allow for meaningful analysis and can be used to make predictions and draw conclusions.

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Step-by-step explanation:

just think - what does it mean to translate (shift) a graph upward by 5 units ?

does the graph change in its content ? no. all the functional result value (= y values or coordinates) are still calculated as before, BUT before marking them on the chart the y values are moved up by 5 units. that means they are increased by 5 (that is the only way to move something "up" on a coordinate grid).

so, in other words, f(x) is nothing else but h(x), but it increases the results of h(x) consistently by 5.

h(x) = 2x² + 4

f(x) = h(x) + 5 = 2x² + 4 + 5 = 2x² + 9

Answer:

5/6

Step-by-step explanation:

There are six sides on a die, and they are asking the probability of not rolling a 4. So it would be 5 out of 6

Have a good day :)

Answer:

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

Step-by-step explanation:

The expression is not equal to the radicand.

What is Radical Index?

The root symbol nx. is known as a radical, and it is thus read "x radical n," or "the nth root of x." The horizontal line in the radical sign is known as the vinculum, the quantity under the vinculum is known as the radicand, and the quantity n written to the left is known as the index.

The radical is defined by the expression

\(\sqrt[n]{a}\)

where a is radicand and n is index.

The index value of square roots is two. When there is no index provided for a radical, it is presumed to be an index of two, or a square root.

\(a^{1/2}\) =\(\sqrt{a}\)

Thus, the expression is not equal to the radicand.

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The expression is not equal to the radicand.

What is Radical Index?

The root symbol nx. is known as a radical, and it is thus read "x radical n," or "the nth root of x." The horizontal line in the radical sign is known as the vinculum, the quantity under the vinculum is known as the radicand, and the quantity n written to the left is known as the index.

The radical is defined by the expression

where a is radicand and n is an index.

The index value of square roots is two. When there is no index provided for a radical, it is presumed to be an index of two or a square root.

= a^(1/2)

Thus, the expression is not equal to the radicand.

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Answer:

maybe 144

Step-by-step explanation:

The probability of a student scoring higher than 52 is 0.0021.

When the data are normally distributed and the mean and standard deviation are known. Calculate the percentage of data that is greater than or less than a certain number. The standard normal distribution and the Z-score or the standard normal distribution for this.

In the question, the mean and standard deviation are provided as μ = 72 and σ = 7

It has also been said that the data is typically dispersed.

Determine the proportion or percentage of data that is greater than 52. The Z-Score, also known as the standard normal variate, is defined as:

Z = (x - μ) ÷ σ

Calculate the requisite Z-score by substituting the values of μ, σ, and x:

Z = (72 - 52) ÷ 7

Z = 2.857

The area under the curve is approximately 0.0021 on the right side of the Z value.

As a result, the probability of a student scoring more than 52 is 0.0021.

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Answer:

a = 3 or -3

Step-by-step explanation:

a^2 -8 = 1

a^2 = 1 + 8

a^2 = 9

a = -  \(\sqrt{9}\) or \(\sqrt{9}\)

a = 3 or -3

Answer: a = 3, -3

Step-by-step explanation:

      Since we want to find what values of a, or x when substituted into the function, equal 1, we will set the function equal to 1 and solve for x.

     Given:

f(x) = x² - 8

     Set equal to 1:

1 = x² - 8

     Subtract 1 from both sides of the equation:

x² - 9 = 0

     Difference of squares factoring:

(x - 3)(x + 3) = 0

     Answers:

x = 3, -3

     So,

a = 3, -3