Michelle bought 2 soccer balls priced at $24.95 each. She paid for her purchase with three $20 bills. How much change did she receive?

Answer:

25.708 yd

Step-by-step explanation:

Perimeter of semicircle = πr + d = 5 * π + 10 yd ≈ 25.708 yd

Answer:

33

Step-by-step explanation:

2(6) + 3(8) - 3

12 + 24 + - 3 = 33

Answer:

33

Step-by-step explanation:

2(6) +3(8) -3

The expected number of choices needed to select the first CS PhD student is 4.

To solve this problem, we can use the concept of geometric distribution. The geometric distribution represents the number of independent and identical trials that are needed to obtain the first success, where the probability of success is p.

In this case, the probability of selecting a CS PhD student on any given trial is 50/200 = 0.25. Therefore, the number of trials needed to obtain the first CS PhD student follows a geometric distribution with p = 0.25.

The expected value of a geometric distribution with parameter p is given by E(X) = 1/p. Therefore, the expected number of choices needed to select the first CS PhD student is

E(X) = 1/p = 1/0.25 = 4

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Answer:

x = 9

Step-by-step explanation:

24 divided by 8 is equal to 3.

12 = x + 3 (subtract three from both sides)

9 = x

Type I error can occur in any study or experiment, and it highlights the importance of considering the possibility of false positive results when interpreting statistical findings.

A randomized trial comparing the efficacy of two drugs showed a difference between the two (with a P-value < 0.05). Assume that in reality, however, the two drugs do not differ. This is, therefore, an example of a Type I error.

In statistics, a Type I error occurs when the null hypothesis is rejected, even though it is true. In this case, the null hypothesis would state that there is no difference between the two drugs. However, due to random chance or other factors, the trial yielded a statistically significant result indicating a difference between the drugs.

It's important to note that a Type I error can occur in any study or experiment, and it highlights the importance of considering the possibility of false positive results when interpreting statistical findings.

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Answer:

3/10 or three-tenths

Step-by-step explanation:

Hope this helps=D

Answer:

O.3 = 1/3

Step-by-step explanation:

divide 1÷3

you will get 0.3 to infinity

Answer:

It is not proportionate

Step-by-step explanation:

It It is not proportionate because the price for a chicken wing goes down as you the price goes up

example: for the first one (8 wings for 5 dollars) one chicken wing cost about 63 cents, but for the second one (16 wings 8 dollars) one chicken wing cost 50 cents. They are not proportional because of this

Answer:

1.5gallons

Step-by-step explanation:

Here,

no. of bottles(a) : 12

no. of cups (b) :a*2

=12*2

=24

Now,

No. of gallons. :24/16

:1.5gallons

.·.A cartoon contains 1.5 gallons of lemon tea.

Question: "Which of the following assessment types has the greatest effect on your overall grade?"

Answer: "Out of all the assessment types, 'tests' have the greatest effect on your overall grade as a student. Hence, Option D would be the best choice."

The  assessment types has the greatest effect on your overall grade is test.

The following information should be considered;

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Answer:

Hope it helps

Have a good day Ahead

Answer:

exact form: 3/2

decimal form: 1.5

mixed number form: 1 1/2

The length of side b is 56m, angle A is 45°, and angle C is 67°.

In the given triangle with side lengths a = 74m, b ≈ 56m, and c = 36m, the length of side b is approximately 56m.

To solve the triangle, we can use the Law of Cosines and the fact that the sum of angles in a triangle is 180 degrees. Given angle B = 67°51', we have:

Using the Law of Cosines, we have:

b² = a² + c² - 2ac * cos(B)

Substituting the known values:

b² = 74² + 36² - 2 * 74 * 36 * cos(67°51')

Calculating the value of b:

b ≈ √(74² + 36² - 2 * 74 * 36 * cos(67°51'))

b ≈ 55.92m (rounded to the nearest whole number, b ≈ 56m)

Using the Law of Cosines again, we have:

cos(A) = (b² + c² - a²) / (2 * b * c)

Substituting the known values:

cos(A) = (56² + 36² - 74²) / (2 * 56 * 36)

Calculating the value of A:

A = cos⁻¹((56² + 36² - 74²) / (2 * 56 * 36))

A ≈ 45° (rounded to the nearest whole number)

Using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

Substituting the known values:

C ≈ 180° - 45° - 67°51'

Calculating the value of C:

C ≈ 67°9' (rounded to the nearest whole number, C ≈ 67°)

Therefore, in the given triangle, the length of side b is approximately 56m, angle A is approximately 45°, and angle C is approximately 67°.

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Answer:

Teachers are tough

Step-by-step explanation:

your welcome i hope you do good in ur test! :)

Answer:

3x + 3 = x + 13

y=1.5x−6.5,

Step-by-step explanation:

substitute the number in for the first two

Step-by-step explanation:

a. 960÷15=64

check:64×15 = 960

Answer:

is between 4 and 5, but closer to 4.

Step-by-step explanation:

Answer:

12/5 as an improper fraction

2 2/5 as a mixed number

Step-by-step explanation:

3 * 4/5

Rewriting the whole number as a fraction

3/1 * 4/5

Multiply the numerators

3*4 = 12

Multiply the denominators

1*5 =5

Numerator over denominators

12/5

Rewriting as a mixed number

5 goes into 12 2 times  (2*5=10  12-10=2) with 2 left over

2 2/5

Answer:

26r^2 + 36r.

Step-by-step explanation:

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Yes, it is appropriate to compute the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm.

With a mean of 0 and a standard deviation of 1, the standard normal distribution is a normal distribution. The standard deviation, which indicates how much a given measurement deviates from the mean, is given by the standard normal distribution, which has zero as its center.

As the sample size is sufficient (440000) and the standard deviation is known, it is appropriate to use a normal distribution to estimate the distribution of ladybug lengths. A 1.5 cm long ladybug's z-score can be calculated as follows:

z = (1.5 - 1) / 0.2 = 2.5

We can calculate the likelihood of a z-score being greater than 2.5 using a conventional normal distribution table to be roughly 0.0062. Hence, the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm is around 0.0062 or 0.62%.

Therefore, the correct answer is option d. Yes. Clear my choice.

The complete question is;

American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one:

a. No, because the population distribution is skewed.

b. No, because the sample size is less than 30.

c. No, because the empirical rule is violated.

d. Yes. Clear my choice

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Answer:

8 - (2/x

hope it is helpful

Answer:

zx=115'

Step-by-step explanation:

supplementary angles add up to 180'

180-65=115

Answer:

115°

Step-by-step explanation:

Given

Zy = 65°

Zx = ?

we know

Zx + Zy = 180° { being supplementary angles }

Zx + 65° = 180°

Zx = 180° - 65°

Zx = 115°

Hope it will help :)❤

For example, it can be used to calculate the trajectory of a projectile or the acceleration of an object. Engineering: Calculus is used to design and analyze structures such as bridges, buildings, and airplanes. It can be used to calculate stress and strain on materials or to optimize the design of a component.

Series calculus, particularly in Calculus 2, has several real-world applications across various fields. Here are a few examples:

1. Engineering: Series calculus is used in engineering for approximating values in various calculations. For example, it is used in electrical engineering to analyze alternating current circuits, in civil engineering to calculate structural loads, and in mechanical engineering to model fluid flow and heat transfer.

2. Physics: Series calculus is applied in physics to model and analyze physical phenomena. It is used in areas such as quantum mechanics, fluid dynamics, and electromagnetism. Series expansions like Taylor series are particularly useful for approximating complex functions in physics equations.

3. Economics and Finance: Series calculus finds application in economic and financial analysis. It is used in forecasting economic variables, calculating interest rates, modeling investment returns, and analyzing risk in financial markets.

4. Computer Science: Series calculus plays a role in computer science and programming. It is used in numerical analysis algorithms, optimization techniques, and data analysis. Series expansions can be utilized for efficient calculations and algorithm design.

5. Signal Processing: Series calculus is employed in signal processing to analyze and manipulate signals. It is used in areas such as digital filtering, image processing, audio compression, and data compression.

6. Probability and Statistics: Series calculus is relevant in probability theory and statistics. It is used in probability distributions, generating functions, statistical modeling, and hypothesis testing. Series expansions like power series are employed to analyze probability distributions and derive statistical properties.

These are just a few examples, and series calculus has applications in various other fields like biology, chemistry, environmental science, and more. Its ability to approximate complex functions and provide useful insights makes it a valuable tool for understanding and solving real-world problems.

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Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer:

if they start to brown

Step-by-step explanation: They are white if they are new brown if old

Answer:

By studying fossils, we can tell how long life has existed on Earth, and how different plants and animals are related to each other. We can work out how and where they lived, and use this information to find out about ancient environments.

Step-by-step explanation:

The expression on the left with the values of the propositional variables that make the expression true. A. P ∧ ~Q - iv. P = false, Q = false, R = true (P is false and Q is false, so P ∧ ~Q is false).

B. ~(P ∧ Q) - i. P = false, Q = true, R = false (P is false and Q is true, so ~(P ∧ Q) is true)
C. P ∨ (Q ∧ ~R) - ii. P = true, Q = false, R = true (P is true, so P ∨ (Q ∧ ~R) is true regardless of the values of Q and R)
D. ~(~P ∨ ~Q) - iii. P = true, Q = true, R = false (P and Q are both true, so ~P ∨ ~Q is false, and therefore ~(~P ∨ ~Q) is true)
A. P ∧ ~Q is true when P = true, Q = false. So, it matches with ii. P = true, Q = false, R = true
B. ~(P ∧ Q) is true when P = false, Q = true. So, it matches with i. P = false, Q = true, R = false
C. P ∨ (Q ∧ ~R) is true when P = true, Q = true, R = false. So, it matches with iii. P = true, Q = true, R = false
D. ~(~P ∨ ~Q) is true when P = true, Q = true. So, it matches with iii. P = true, Q = true, R = false

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The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

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