In May 2015, an earthquake originating in Galesburg, MI had a magnitude of 4. 2


on the Richter scale. In September 2012, a much smaller earthquake originating


in Stony Point, MI had a magnitude of 2. 5. If the magnitude of an earthquake is


given by the formula M=log


o), where ' is the intensity of the earthquake and to is


a small reference intensity, how many times larger was the intensity of the


Galesburg earthquake compared to the Stony Point earthquake?

Answer:8

Step-by-step explanation: isaid it is

The probability that the first person to have a college degree is the 3rd person selected is 0.9824, assuming the company's claim is true.

Assuming the company's claim of 74% of their employees having college degrees is true, the probability that the first person to have a college degree is the 3rd person selected can be calculated. First, the probability that the first person selected does not have a college degree is (1 - 0.74) = 0.26. Secondly, the probability that the second person selected does not have a college degree is (1 - 0.74) = 0.26. Thus, the probability that the first person to have a college degree is the 3rd person selected is the probability of the first two people not having a college degree (0.26 * 0.26) multiplied by the probability that the third person has a college degree (0.74). This probability is (0.26)^2 * 0.74 = 0.9824. Therefore, the probability that the first person to have a college degree is the 3rd person selected is 0.9824.

P(3rd person has a college degree) = P(first two people do not have a college degree) x P(third person has a college degree)

P(3rd person has a college degree) = (1 - 0.74)^2 x 0.74

P(3rd person has a college degree) = 0.9824

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Answer:

Maybe A sorry if its wrong.

Step-by-step explanation:

Answer: c

Step-by-step explanation: edge 2023 :)

Using the critical values of t=+/-2.201 is less likely to lead to rejection of the null hypothesis than using the critical values of +/-2.093.

Critical Value Definition -

Critical value can be defined as a value that is compared to a test statistic in hypothesis testing to determine whether the null hypothesis is to be rejected or not.

If the value of the test statistic is less extreme than the critical value, then the null hypothesis cannot be rejected.

Critical values are essentially cut-off values that define regions where the test statistic is unlikely to lie; for example, a region where the critical value is exceeded with probability \alpha if the null hypothesis is true.

Using the critical values of t=±2.201 is more "conservative" than using the critical value of ±2.093 because it is more likely to reject the null hypothesis using the greater value i-e t=±2.201.

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Answer: 0.25 or 25%

Step-by-step explanation: The probability of getting heads in a coin flip is 0.5, or 50%. In order to account for the two times we flip the coin, we multiply that by two. 0.5(2)=0.25 or 25%.

Step-by-step explanation:

Two flips has  2^2 = 4 possible outcomes

  ONE of which is   Heads - Heads

    one out of 4     =   1/4 = .25

H H

H T

T H

T T

Answer:

The probability that at most 26 people out of the 300 surveyed say their favorite sport is auto racing is approximately 0.8750 or 87.50%.

Step-by-step explanation:

To solve this problem, we'll use the normal approximation to the binomial distribution.

Step 1: Determine the mean and standard deviation.

Mean (µ) = n * p = 300 * 0.07 = 21

Standard deviation (σ) = √(n * p * (1-p)) = √(300 * 0.07 * 0.93) ≈ 4.34

Step 2: Calculate the z-score. z = (x - µ) / σ = (26 - 21) / 4.34 ≈ 1.151

Step 3: Use a z-table to find the probability corresponding to the z-score. The probability for z = 1.151 is 0.8750.

Step 4: Since we want the probability that the number of people who say their favorite sport is auto racing is at most 26, the result from the z-table is the final answer i.e. Probability = 0.8750

So, the probability that at most 26 people out of the 300 surveyed say their favorite sport is auto racing is approximately 0.8750 or 87.50%.

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Answer: The distance between these two points is 5.

Step-by-step explanation:

Yay! Love doing distance formula questions!

Okay, so first off, the distance formula goes as follows:

d = \(\sqrt(x^{2} - x^1)^2 + (y^{2}-y^1)^2\)

Basically you just plug in your coordinates to the formula.

Step 1:

\(\sqrt(-5 + 5)^{2} + (2-7)^{2}\)

Step 2: Distribute the exponent to both parenthesis to get \(\sqrt{25}\).

Step 3: Factor the number, which would result in \(\sqrt{5^2}\).

As a result of this, your answer would be 5.

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

\(\stackrel{f(x)}{y}~~ = ~~2x^2+4x\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~2y^2+4y} \\\\\\ x=2(y^2+2y)\implies \cfrac{x}{2}=y^2+2y\impliedby \begin{array}{llll} \textit{now let's complete the square}\\ \textit{to make it a perfect square trinomial}\\ \textit{by using our good friend, Mr "0"} \end{array} \\\\\\ \cfrac{x}{2}=y^2+2y(+1^2-1^2)\implies \cfrac{x}{2}=y^2+2y+1-1\implies \cfrac{x}{2}=(y^2+2y+1)-1\)

\(\cfrac{x}{2}+1=(y^2+2y+1^2)\implies \cfrac{x}{2}+1=(y+1)^2\implies \sqrt{\cfrac{x}{2}+1}=y+1 \\\\\\ \sqrt{\cfrac{x+2}{2}}=y+1\implies \sqrt{\cfrac{x+2}{2}}-1=y~~ = ~~f^{-1}(x)\)

Answer:

I think the answer is B

Answer:

Yes

Step-by-step explanation:

3.212 x 10^4

=> 3.212 x 10000

=> 32.12 x 1000

=> 321.2 x 100

=> 3212 x 10

=> 32120 x 1

=> 32120

Answer:

Yes

Step-by-step explanation:

In scientific notation, the power is the number of times you move the decimal place to the right.

3.212 x 10^4 is equivalent to 32,120 when you move the decimal place 4 times to the right.

So, 32,120 is equivalent to 3.212 x 10^4

Answer:

\(7(x + 3)\)

Step-by-step explanation

thinked number = x

add 3 = +3

\(x + 3\)

multiply the result by 7

\(7( x+ 3)\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

$25 per month

Step-by-step explanation:

What we know:

3 months of a gym membership costs $75.

6 months cost $150.

To find the unit rate, divided 75 by 3, or 150 by 6.

150/6 = 75/3 = 25/1 = $25 per month

Answer:

Step-by-step explanation:

Any number equal to or greater than 20 is a solution.  22 would be a solution.

x represents the cost of each bottle of juice. Given that he bought a pack containing 6 bottles of juice, the cost of the 6 pack juice bottles would be $6x

Given that the total cost of a bag of popcorn which costs $2.11 and a 6-pack of juice bottles is $11.41, it means that

2.11 + 6x = 11.41

6x = 11.41 - 2.11

6x = 9.3

x = 9.3/6

x = 1.55

The cost of each bottle of juice is $1.55

The standard normal distribution can roughly statistic estimate the t-value for small sample sizes, though it grows less sensitive to changes in sample size for large sample sizes.

The test statistic for something akin to a Z-test has been the Z-statistic, which shows the usual normal null hypothesis to be correct. Suppose you perform a 2 X y test with a 0.05 threshold of significance and, based on your data, you obtain a 2.5 R t (also defined as a Z-value). 0.0124 is the p-value for the this Z-value.

Here,

When the population size is small (typically less than 30) or when it is unclear what the population standard deviation will be, the t-value is a statistical measure that is used to determine the statistical significance of a difference of the two means.

This is so that there will be less sampling error and more accurate information the about population provided by the bigger sample size. As the sample size grows, the t-distribution gets more constrained and resembles the average more closely.

In conclusion, the t-value tends to rise as sample size rises, indicating the increased accuracy of the sample mean.

The standard normal distribution can roughly estimate the t-value for small sample sizes, though it grows less sensitive to changes in sample size for large sample sizes.

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Answer:

141 degrees

Step-by-step explanation:

First find the value of the other interior angle that is not shown. To find it u add 108 n 33 which gives you 141

Then subtract 141 from 180 which gives u 39 degrees

After subtract 39 from 180 which gives you 141 degrees

10 large water bottles can hold 20 gallons of water, which is found by setting up a proportion and solving for x.

We can set up a proportion to solve this problem. Let x be the number of gallons that 10 large water bottles can hold:

4 bottles / 8 gallons = 10 bottles / x gallons

We can cross-multiply to get:

4 * x = 8 * 10

Simplifying the right side, we get:

4x = 80

Dividing both sides by 4, we get:

x = 20

Therefore, 10 large water bottles can hold 20 gallons of water.

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The Regular Price is ( Original Price - $73.5).

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Gwen buys 3 identical pairs of shoes at Store.

She save $73.50 after the discount.

So, On each pair she saves= 73.5 /3

                                           = $24.5

To find the Regular Price

= Original Price - $73.5

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Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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Answer:

899?

Step-by-step explanation:

It would be 900 or 9 if it's a decimal

Answer: they make 808,112 dollars off of warranties

Step-by-step explanation:

Answer:

its

Step-by-stCep explanation: I took the test

The 98% confidence interval for the population mean time workers spend getting to work in the downtown area of Buffalo, New York, based on a sample of 15 workers, is between 16.03 and 26.63 minutes.

To calculate the confidence interval, we use the formula:

\(\bar{x} \pm t_{\alpha/2} \frac{s}{\sqrt{n}}\)

Where x is the sample mean, tα/2 is the t-score with (n-1) degrees of freedom and α = 0.01/2 (since we want a 98% confidence interval), s is the sample standard deviation, and n is the sample size.

Plugging in the values from the given data, we get:

x = 21.13, s = 6.223, n = 15, tα/2 = 2.602

Thus, the confidence interval is:

\($21.13 \pm 2.602 \cdot \frac{6.223}{\sqrt{15}}$\)

= (16.03, 26.63)

Therefore, we are 98% confident that the true population mean time workers spend getting to work in the downtown area of Buffalo, New York, lies between 16.03 and 26.63 minutes.

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1. Affordably presented by objects or environments, such as a ball providing the opportunity to practice grasping, throwing, and catching.
2. Individuals perceive these affordances and decide to engage with them, based on their current motor abilities and developmental stage.
3. Through interacting with affordances, individuals practice and develop their motor skills by attempting, refining, and mastering the actions associated with affordance.

Affordably is a term used to describe the relationship between an individual's perception of their environment and their ability to interact with it. In terms of motor development, affordances refer to the opportunities for movement that the environment presents. These opportunities can be both physical and social and can include objects to manipulate, spaces to explore, and people to interact with.

The concept of affordance is important for motor development because it provides children with opportunities to practice and refine their motor skills. As children explore their environment, they are able to perceive the various affordances that it presents, and they can use these affordances to develop their motor skills.

For example, a child may perceive that a box can be used as a stepping stool, and they may use this affordance to climb up onto a table. In doing so, they are developing their balance, coordination, and strength. Similarly, a child may perceive that a ball can be thrown, caught, and bounced, and they can use these affordances to develop their hand-eye coordination, spatial awareness, and timing.

Overall, affordance plays an important role in motor development by providing children with opportunities to explore and interact with their environment and to develop their motor skills in the process.
Affordance contributes to motor development by providing opportunities for individuals to interact with their environment, which in turn helps them develop and refine their motor skills. Affordance refers to the potential actions or uses that an object or environment provides to an individual. In the context of motor development, affordances can be seen as opportunities for practicing and enhancing motor abilities.


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The projectile is at least 128 feet above the ground for 4 seconds.

At time t seconds, the height of a projectile fired straight up from ground level is given by s = -16t² + 96t. To determine the time period during which the projectile is at least 128 feet above the ground, we need to find the time t for which s ≥ 128.Substituting s = 128 into the equation for s, we get:128 = -16t² + 96t Rearranging this equation, we get:-16t² + 96t - 128 = 0Dividing by -16, we get:t² - 6t + 8 = 0Factorizing this quadratic equation, we get:(t - 4)(t - 2) = 0So, t = 4 seconds or t = 2 seconds. Since we want the time period during which the projectile is at least 128 feet above the ground, we reject the solution t = 2 seconds since at that time, the height of the projectile is less than 128 feet above the ground. Therefore, the projectile is at least 128 feet above the ground for 4 seconds.

The motion of an object that is thrown (projected) into the air when the only other force the object experiences is the force of gravity after the initial force that launches the object is negligible. The object is referred to as a projectile, and its trajectory describes its course.

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Hey there!

28(5 - 9 + 6) - 5 = y

y = 28(5 - 9 + 6) - 5

y = 28(-4 + 6) - 5

y = 28(2) - 5

y = 56 - 5

y = 51

Therefore, your answer is: y = 51

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The stress (σ) for n = 100 is approximately 333.33 MPa.

The stress (σ) for n = 103 is also approximately 333.33 MPa.

To calculate the stress (σ) for n = 100 and 103 using the given Sut (ultimate tensile strength) and Fsut (factor of safety for ultimate tensile strength), we can use the formula:

σ = Sut / Fsut

Let's assume the given values of Sut and Fsut are as follows:

Sut = 500 MPa (megapascals)

Fsut = 1.5 (dimensionless)

For n = 100:

Plugging in the values into the formula, we get:

σ = Sut / Fsut

= 500 MPa / 1.5

≈ 333.33 MPa

So, the stress (σ) for n = 100 is approximately 333.33 MPa.

Similarly, for n = 103:

Using the same formula with the given values of Sut and Fsut:

σ = Sut / Fsut

= 500 MPa / 1.5

≈ 333.33 MPa

So, the stress (σ) for n = 103 is also approximately 333.33 MPa.

Please note that these calculations are based on the given values of Sut and Fsut, and the units are assumed to be in megapascals (MPa) as per the given formula.

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The exact value of the given expression. sin 2 cos−1 12 13 is 240/169.

To find the exact value of the given expression, we need to use the identity sin(2θ) = 2sin(θ)cos(θ) and the information provided. The expression you want to find is sin(2 * cos^(-1)(12/13)).

First, let's find the angle θ, which is cos^(-1)(12/13). In a right triangle with the adjacent side = 12 and hypotenuse = 13, we can use the Pythagorean theorem to find the opposite side: Opposite side = √(13^2 - 12^2) = √(169 - 144) = √25 = 5

Now, we can find sin(θ) and cos(θ): sin(θ) = opposite/hypotenuse = 5/13 cos(θ) = adjacent/hypotenuse = 12/13 Next, use the sin(2θ) identity: sin(2θ) = 2sin(θ)cos(θ) = 2(5/13)(12/13) = (10/169)(24) = 240/169 So, the exact value of the given expression is 240/169.

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Answer:

d

Step-by-step explanation:

Answer:

it is D

Step-by-step explanation: