A store increases the price of a sweater from $20 to $22.

What is the percent of increase?

Select from the drop-down menu to correctly complete the statement.

The percent of increase is

Answer: The power 3 times 2=6.0

Step-by-step explanation:multiply the power you get 0 multiply the 2x3

Answer: 16

Step-by-step explanation: \(2^{3}\) = 8. This is because when a number is expressed to the power of a #, it means to multiply that # by itself by how many times the number of the exponent is. So, \(2^{3}\) =

2 x 2 x 2

4 x 2 = 8

Now, we must remember to multiply the 2 after we get 8. So,

8 x 2 = 16

So, therefore, 2 by the power of 3 times 2 = 16

I hope this helps!

The main types of markets are:

So, the correct answer is "consumer" and "industrial".

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Answer:

Step-by-step explanation:

TAF ~=TUG

Postulate : AAS

The experimental probability of rolling a 1 or a 2 is 0.2.

Hence, Option A is correct.

We know that,

The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.

In this case,

The event is rolling a 1 or a 3,

Which occurred ⇒  3 + 1

                           = 4 times.

Given that there are total number of trials = 20.

Therefore,

The experimental probability of rolling a 1 or a 3 = 4/20,

                                                                                = 1/5

                                                                                 = 0.2

Hence, the required probability is 0.2.

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The complete question is:

Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?

Number on cube:1,2,3,4,5,6

Number of times event occurs:3,6,1,5,3,2

A.0.2

B.0.3

C.0.6

D.0.83

Step-by-step explanation:

Answer: No solution

Desmos Graphing Calculator is a great way to check these things. I'm not a 100% sure on my calculations, but I know Desmos is.

4567olur

give up I'm a special station

Answer:

Step-by-step explanation:

a) 5  > 4 +x

4 + x < 5

Subtract 4 from both sides

x < 5 - 4

x < 1

b) 2 ≤ 6c + 14

6c + 14 ≥ 2

Subtract 14 from both sides

6x ≥ 2 - 14

6x ≥ - 12

Divide both sides by 6

x ≥ -12/6

x ≥ -2

c)  -4 > 2b

2b < - 4

Divide both sides by 2

b < -4/2

b < -2

d)

\(7 \leq \frac{a}{3}\)

\(\frac{a}{3} \geq 7\\\\a \geq 7*3\\\\a \geq 21\)

Answer:

Below.

Step-by-step explanation:

(a). 5 > 4 + x

4 + x < 5      (Note that the sign is flipped)

x < 5 - 4

x < 1.

(b) and (c) are solved in the same way.

(d)  7 <= a/3

a/3 >= 7

Multiply both sides by 3

a >= 21.

(e) - as above.

(f) 6 >= 3(p + 2) - 11

3(p+2) - 11 <= 6

3p + 6 - 11 <= 6

3p - 5 <= 6

3p <= 6 + 5

3p <= 11

p <= 11/3.

The distance traveled by the particle is 4 units (approximately).

The distance traveled by a particle with position (x, y) as t varies in the given time interval is 4 units (approximately).Given,x = 2 sin^2(t),y = 2 cos^2(t),0 ≤ t ≤ 3To find the distance, we can use the formula for distance between two points in a plane which is as follows: Distance = √(x₂ − x₁)² + (y₂ − y₁)²where (x₁, y₁) and (x₂, y₂) are the initial and final points respectively. Substituting the given values, we get;x₁ = 2 sin²(t₁),y₁ = 2 cos²(t₁),x₂ = 2 sin²(t₂),y₂ = 2 cos²(t₂)∴ Distance = √(2 sin²(t₂) − 2 sin²(t₁))² + (2 cos²(t₂) − 2 cos²(t₁))²= 2 √sin⁴(t₂) − sin⁴(t₁) + cos⁴(t₂) − cos⁴(t₁)Now, we can simplify this equation by using trigonometric identities.Sin²x + cos²x = 1⇒ sin⁴x + cos⁴x + 2(sin²x cos²x) = 1-2 sin²x cos²x⇒ sin⁴x + cos⁴x = 1- 2(sin²x cos²x)Substituting these values in the above equation, we get;Distance = 2√(1-2 sin²(t₁) cos²(t₁)) - 2(sin²(t₂) cos²(t₂))= 2√(cos⁴(t₁) - sin²(t₁) cos²(t₁)) - (cos⁴(t₂) - sin²(t₂) cos²(t₂)))= 2√(cos²(t₁)(1 - sin²(t₁))) - cos²(t₂)(1 - sin²(t₂)))= 2 cos(t₁) sin(t₁) - cos(t₂) sin(t₂)≈ 4 units (approximately).

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We have the following equations to compute the distance traveled by a particle with position (x, y) as t varies in the given time interval:

The content describes the position of a particle as it moves over a specific time interval. The particle's position is defined by two equations: x = 2 sin^2(t) and y = 2 cos^2(t), where t represents time. The given time interval is 0 ≤ t ≤ 3.

To find the distance traveled by the particle in this time interval, we can use the concept of arc length. The arc length formula for a parametric curve is given by:

s = ∫√((dx/dt)^2 + (dy/dt)^2) dt,

where dx/dt and dy/dt represent the derivatives of x and y with respect to t, respectively.

In this case, let's calculate the derivatives:

dx/dt = d(2 sin^2(t))/dt = 4 sin(t) cos(t),

dy/dt = d(2 cos^2(t))/dt = -4 sin(t) cos(t).

Now, substitute these derivatives into the arc length formula and integrate it over the given time interval (0 ≤ t ≤ 3) to find the distance traveled by the particle.

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Law of Sines, Law of Sines, Pythagorean Theorem, Trigonometric Ratios, Heron's Formula .These methods can help you solve triangles and find missing side lengths, angles, or the area of the triangle.

To solve a triangle, you can use various methods depending on the given information. The methods include:

1. Law of Sines: This method involves using the ratio of the length of a side to the sine of its opposite angle.

2. Law of Cosines: This method allows you to find the length of a side or the measure of an angle by using the lengths of the other two sides.

3. Pythagorean Theorem: This method is applicable if you have a right triangle, where you can use the relationship between the lengths of the two shorter sides and the hypotenuse.

4. Trigonometric Ratios: If you know an angle and one side length, you can use sine, cosine, or tangent ratios to find the other side lengths.

5. Heron's Formula: This method allows you to find the area of a triangle when you know the lengths of all three sides.
These methods can help you solve triangles and find missing side lengths, angles, or the area of the triangle.

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Answer:

4x⁶ - 7

Step-by-step explanation:

\( \sf{( {2x}^{3} )}^{2} - 7\)

\( \sf( {2}^{2} \times {x}^{3 \times 2} ) - 7\)

\( \sf {4x}^{6} - 7\)

Check the picture below.

Answer:

115847 employees

Step-by-step explanation:

The change in height of the parasail = 1/100.

Height of defined as the measurement that is taken for an object which starts from its base to the topmost point. This is usually measured in meters.

From the question,

The height of the parasail above the water level= 3/100

The height of the parasail above the water level after 5 minutes= 1/50

The change in height of the parasail is determined by finding the difference between the two heights.

That is, = 3/100 - 1/50

= 0.03- 0.02 = 0.01

When changed to fraction is = 1/100

Therefore, the change in height after 5 minutes is = 1/100

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Answer:

51380000 mg

Step-by-step explanation:

10 - 3 = 7

7.34 x 7 = 51.38

1 kg = 1000000 mg

51.38 x 1000000 = 51380000

When \(7.34 \times 10^{-3} kg\) is converted to milligrams the result is 7340 mg.

Given, that kilograms to be converted to milligrams.

Multiplication: It is the basic mathematical operation among subtraction, division and addition. Multiplication follows associative and distributive property.

Exponential multiplication:

a) \(10^{-3} = \frac{1}{1000}\)

b) \(10^3 = 1000\)

Conversion factors:

1 Kg = 1000 grams

1 Gram = 100 milligrams

1 kg = 1000000 mg

Apply unitary method to convert Kg to mg.

1 kg = 1000000 mg

Multiply both sides by  \(7.34 \times 10^{-3} kg\)

\(7.34 \times 10^{-3} kg\) × 1 = \(7.34 \times 10^{-3} kg\) × 1000000

Here the kilograms is converted to equivalent milligrams.

\(7.34 \times 10^{-3} kg\) = 7340 milligrams

Thus the total milligrams in \(7.34 \times 10^{-3} kg\) are 7340 .

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Answer:

Cross-Sectional Study

Step-by-step explanation:

Based on the given confidence interval, there is evidence to support the claim that the true average echo duration of lightning flashes is 0.8 seconds.

To determine if the evidence supports the claim that the true average echo duration of lightning flashes is 0.8 seconds, we need to check if the value 0.8 falls within the confidence interval.

The 95% two-sided confidence interval for the true average echo duration is (0.743, 0.877). Since the value 0.8 falls within this interval, it means that the true average echo duration of lightning flashes of 0.8 seconds is within the range of values that is supported by the data.

Therefore, based on the given confidence interval, there is evidence to support the claim that the true average echo duration of lightning flashes is 0.8 seconds.

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According to the question, the probability that a new oil filter is needed given that the automobile's oil is being changed is 0.20.

To find the probability that a new oil filter is needed given that the automobile's oil is being changed, we can use conditional probability.

Let's define the events:

A: The car needs an oil change.

B: Both the oil and the filter need changing.

We are given:

\(P(A) = 0.30\) (probability that a car needs an oil change)

\(P(B) = 0.20\) (probability that both the oil and the filter need changing)

We need to find P(B|A), which represents the probability that both the oil and the filter need changing given that the car needs an oil change.

The conditional probability formula is given by:

\(\[ P(B|A) = \frac{P(A \cap B)}{P(A)} \]\)

In this case, P(A ∩ B) represents the probability that both events A and B occur.

Since we know that P(B) = 0.20, we can rewrite P(A ∩ B) as:

P(A ∩ B) = P(B) * P(A|B)

P(A|B) represents the probability that a car needs an oil change given that both the oil and the filter need changing.

We can rearrange the conditional probability formula as follows:

P(A ∩ B) = P(A|B) * P(B)

Substituting the given values:

P(A ∩ B) = P(A|B) * 0.20

Now we can solve for P(A|B):

\(\[ P(A|B) = \frac{P(A \cap B)}{P(B)} \]\)

\(\[ P(A|B) = \frac{P(A|B) \times 0.20}{0.20} \]\)

Simplifying, we can cancel out the 0.20:

P(A|B) = P(A|B)

This means that the probability of needing a new oil filter given that the oil is being changed is equal to the conditional probability of needing an oil change given that both the oil and the filter need changing.

Therefore, the probability that a new oil filter is needed given that the automobile's oil is being changed is equal to the conditional probability of needing an oil change given that both the oil and the filter need changing, which is 0.20.

Hence, the probability that a new oil filter is needed given that the automobile's oil is being changed is 0.20.

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Answer:

A

Step-by-step explanation:

Answer:

A) m=0

Step-by-step explanation:

Answer:

D. (x - 9)(x+5)

Step-by-step explanation:

\(x^{2} - 4x - 45\) is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.

First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.

So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.

B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B

It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.

Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.

The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.

To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.

We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.

Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.

This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.

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the answer is 614.

sorry if u didn’t get it right

Answer:614

Step-by-step explanation:did the test

To find the value of the car after 30 months, we first need to convert 30 months to years by dividing by 12:

30 months ÷ 12 months/year = 2.5 years

Now we can plug in the given values into the formula:

V = C - Crt
V = $44,085 - ($44,085)(0.13)(2.5)

Simplifying the equation:

V = $44,085 - $7,207.73

V = $36,877.27

Therefore, the value of the car after 30 months would be $36,877.27.

The formula for linear depreciation is V = C - Crt, where V is the value of the item after t years, C is the original cost, and r is the rate of depreciation expressed as a decimal. This formula assumes that the item depreciates at a constant rate each year.

To find the value of the car after 30 months, we need to convert the time to years by dividing by 12. This is because the rate of depreciation is given as a percentage per year, so we need to express the time in years to use the formula. After plugging in the given values, we simplify the equation to find the value of the car after 30 months.
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The factorise form of the two expression are as follows:

b. (x - 3)(2 / 3 x - 6) = 0

Therefore, let's open the brackets

2 / 3 x² - 6x -2x + 18 = 0

2 / 3 x²  - 8x + 18 = 0

multiply through by 3

2x² - 24x + 54 = 0

Hence,

 2 (x - 3)  (x - 9)

c.

(-3x - 15)(x + 7)  = 0

Therefore,

-3x² - 21x - 15x - 105 = 0

-3x² - 36x - 105 = 0

-3(x + 5)(x + 7)

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The result of subtracting 7x - 9 from 2x² - 11 is 2x² - 7x - 2.

To subtract the expression 7x - 9 from 2x² - 11, we need to distribute the negative sign to every term within the expression 7x - 9, and then combine like terms.

First, let's distribute the negative sign:

2x² - 11 - (7x - 9)

Now, distribute the negative sign to each term within the parentheses:

2x² - 11 - 7x + 9

Next, let's combine like terms:

2x² - 7x - 2

Therefore, the result of subtracting 7x - 9 from 2x² - 11 is 2x² - 7x - 2.

In this expression, the highest power of x is 2, which means it is a quadratic expression. The coefficient of x² is 2, and the coefficient of x is -7. The constant term is -2.

This quadratic expression can be further simplified or factored if needed, but the subtraction process is complete with the result 2x² - 7x - 2.

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Answer:

Look it out for me

Step-by-step explanation:

Answer:

(2 x a)+(3 x b)+c=total points

Step-by-step explanation:

Answer:

use the formula for circumference

Step-by-step explanation:

Answer:

706.8 if rounded then its 706.9

Answer:

The two little blue boxes are going

Step-by-step explanation:

Lets start with the 0s.

Two zeros is 0. so its

_ _ _ _ 0.

Now we add 2 and 0 which is 2.

_ _ _ 2 0

now we add 6 and 4, which is 10. We have to put the 1 above the 7 and 5 and we are going to put 0 down below

_ _ 0 2 0

now we are going to add 7 +5, but dont forget the 1! Its going to be 13. Put the 3 down below and put the 1 above the 2!

_ 3 0 2 0

Now its 2 + 1 which is 3

your answer is

33020

The mean of the population that the scores were sampled from is what is referred to as the sampling distribution of the mean.

Yes, the sample means will follow a normal distribution, even if the population is skewed right, as long as the sample size is sufficiently large (usually n ≥ 30). This is due to the Central Limit Theorem, which states that as the sample size increases, the distribution of sample means approaches a normal distribution regardless of the shape of the population distribution.

The sampling distribution of mean also moves closer to normalcy as sample size rises.

As a result, it can be said with certainty that sample distributions of mean are almost always close to normal.

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