Assuming that these five Pokémon represent the population of Pokémon at large, what percentage of Pokémon have a Strength base stat between Meowth and Pikachu? Show your work!2. In the original video game Pokémon Red/Blue, these five Pokémon start with the following base numbers in Strength: Pikachu: Charmander: Squirtle: Bulbasaur: Meowth: 55 52 48 49 45 X - X Z=- Here is the formula: S Calculate Z-scores for all five Pokémon in this dataset. You can round to the nearest hundredth digit. Show your work! HINT 1: Remember that you are subtracting the sample mean. HINT 2: You can use a program to find the standard deviation instead of doing it by hand. HINT 3: Depending on the online calculator you use, you are finding the standard deviation for the sample.

Answers

Answer 1

To calculate the percentage of Pokémon with a Strength base stat between Meowth and Pikachu, we need to calculate the Z-scores for each Pokémon in the dataset and determine the area under the normal curve between the corresponding Z-scores.

To find the Z-scores, we first need to calculate the mean and standard deviation of the dataset. Using the given base numbers, the mean can be calculated as (55 + 52 + 48 + 49 + 45) / 5 = 49.8. To find the standard deviation, you can use a calculator or statistical software.

Next, we calculate the Z-score for each Pokémon by subtracting the mean from its base stat and dividing by the standard deviation. For example, the Z-score for Pikachu would be (55 - 49.8) / (standard deviation). Repeat this calculation for each Pokémon in the dataset.

Once we have the Z-scores, we can find the area under the normal curve between the Z-scores corresponding to Meowth and Pikachu. This represents the percentage of Pokémon with a Strength base stat between the two. The exact calculation can be done using a Z-table or by using software or online calculators that provide the area under the normal curve.

By following these steps, we can determine the percentage of Pokémon that fall within the specified range of Strength base stats.

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Related Questions

For the real valued functions f(x) = x-4/x-5 and g(x) = 4x+17, find the composition fog and specify its domain using interval notation.
(F o g)(x)=
Domain of f o g:

For the real valued functions f(x) = x-4/x-5 and g(x) = 4x+17, find the composition fog and specify its

Answers

Answer:

(f o g)(x) = \(\frac{4x+13}{4x+12}\)

Domain : (-∞, -3) ∪ (-3, ∞)

Step-by-step explanation:

Given : f(x) = \(\frac{x-4}{x-5}\)

            g(x) = 4x + 17

We have to find the value of (f o g)(x).

Since (f o g)(x) = f[g(x)]

                        = \(\frac{(4x+17)-4}{(4x+17)-5}\)

                        = \(\frac{4x+13}{4x+12}\)

For the Domain of the function (f o g)(x),

Given function is defined for (4x + 12) ≠ 0

4x ≠ -12

x ≠ -3

Therefore, Domain of the function will be : (-∞, -3) ∪ (-3, ∞)                    

Will give brainiest so can you please help

Will give brainiest so can you please help

Answers

The answer is

\( {x}^{2} {y}^{3} \)

I hope this helps, have a great day!

a magazine provided results from a poll of 22 adults who were asked to identify their favorite pie. among the ​respondents, 57​% chose chocolate​ pie. if the confidence level is 98%, calculate the confidence interval for the proportion of adults who identify chocolate pie as their favorite pie.

Answers

The confidence interval for the proportion of adults who identify chocolate pie as their favorite pie, with a confidence level of 98%, is approximately  0.3248 to 0.8152 (rounded to four decimal places).

To calculate the confidence interval for the proportion of adults who identify chocolate pie as their favorite pie, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

First, let's calculate the sample proportion:Sample Proportion = Percentage/100 = 57/100 = 0.57

Next, we need to calculate the margin of error using the formula:Margin of Error = Critical Value * Standard Error

Since the confidence level is 98%, the alpha level (α) is 1 - 0.98 = 0.02. Since it is a two-tailed test, we divide the alpha level by 2, resulting in α/2 = 0.01.

The critical value can be found using a standard normal distribution table or a calculator, based on the alpha level. In this case, the critical value for a 98% confidence level is approximately 2.33.

The standard error is calculated as the square root of [(Sample Proportion * (1 - Sample Proportion)) / Sample Size].

Standard Error = sqrt[(0.57 * (1 - 0.57)) / 22]

Now we can calculate the margin of error: Margin of Error = 2.33 * sqrt[(0.57 * (1 - 0.57)) / 22]

Finally, we can calculate the confidence interval:Confidence Interval = Sample Proportion ± Margin of Error. Substituting the values: Confidence Interval = 0.57 ± Margin of Error

Therefore, the confidence interval for the proportion of adults who identify chocolate pie as their favorite pie, with a confidence level of 98%, is approximately 0.3248 to 0.8152 (rounded to four decimal places).

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sikhism, a religion founded in the 15th century in india, is going through turmoil due to a rapid decline in the number of sikh youths who wear turbans. the tedious task of combing and tying up long hair and a desire to assimilate has led to approximately 25% of sikh youths giving up the turban. a. what is the probability that exactly two in a random sample of five sikh youths wear a turban? (do not round intermediate calculations. round your final answer to 4 decimal places.) b. what is the probability that two or more in a random sample of five sikh youths wear a turban? (do not round intermediate calculations. round your final answer to 4 decimal places.) c. what is the probability that more than the expected number of sikh youths wear a turban in a random sample of five sikh youths? (do not round intermediate calculations. round your final answer to 4 decimal places.) d. what is the probability that more than the expected number of sikh youths wear a turban in a random sample of 10 sikh youths? (do not round intermediate calculations. round your final answer to 4 decimal places.)

Answers

The probability that more than the expected number of Sikh youths wear a turban in a random sample of five is 0.3671 (rounded to 4 decimal places).

a. Using the binomial distribution formula, we can determine the likelihood that two out of a random sample of five Sikh teenagers are turban-wearing:

\(P(X = 2) = (5 pick 2) (5 choose 2) * (0.75)^3 * (0.25)^2\)

"X" indicates the proportion of Sikh adolescents who wear turbans, "5 choose 2" indicates the number of possible methods to select 2 Sikhs from a group of 5, and "0.75" and "0.25" indicate the likelihoods that a Sikh youngster will not be wearing a turban and will be wearing one, respectively.

This expression can be made simpler by using a calculator to become:

P(X = 2) = 10 * 0.421875 * 0.0625 = 0.2659

Hence, 0.2659 percent chance exists that two out of every five Sikh youngsters in a random sample will be turban-wearing (rounded to 4 decimal places).

Using the complement rule, we can determine the likelihood that two or more of a random sample of five Sikh teenagers are wearing turbans:

P(X >= 2) = 1 - P(X 2)

where X is the proportion of young Sikhs who are turban-wearing.

P(X 2) is the likelihood that fewer than 2 of five Sikh teenagers chosen at random will be turban-wearing.

This can be calculated as:

P(X 2) equals P(X = 0) plus P(X = 1).

P(X = 0) = (5 select 0) * (0.75) * (5 select 0) * (0.25) * 0 = 0.2373

P(X = 1) = (5 select 1) * (0.75) * (4 select 1) * (0.25) * 1 = 0.3956

P(X 2) = 0.2373 + 0.3956 = 0.6329 as a result.

We can then compute P(X >= 2) = 1 - 0.6329 = 0.3671 using the complement rule.

Consequently, there is a 0.3671 percent chance that two or more of five Sikh teenagers chosen at random will be turban-wearing (rounded to 4 decimal places).

c. The following formula can be used to determine how many Sikh teenagers in a random sample of five are likely to wear a turban:

E(X) = n * p = 5 * 0.25 = 1.25

Using the cumulative binomial distribution function, we can determine the likelihood that more Sikh teenagers than predicted in a random sample of five wear turbans:

P(X > 1) = 1 - P(X <= 1)

P(X = 1) equals P(X = 0) plus P(X = 1).

P(X = 0) = (5 select 0) * (0.75) * (5 select 0) * (0.25) * 0 = 0.2373

P(X = 1) = (5 select 1) * (0.75) * (4 select 1) * (0.25) * 1 = 0.3956

Therefore,

P(X <= 1) = 0.2373 + 0.3956 = 0.6329

The complement rule can then be used to determine:

P(X > 1)

P(X > 1) = 1 - 0.6329 = 0.3671

Hence, in a random sample of five Sikh adolescents, the likelihood that there are more turban-wearing Sikh youths than expected is 0.3671. (rounded to 4 decimal places).

d. To determine the likelihood that more than predicted will occur.

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Define and explain 3 core principles of the Culture Change movement and why you think its important. This submission should be three (3) paraaraohs and is due \( 3 / 9 \) 11:59 PM
Assignment 3 - The

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The culture change movement in healthcare is a movement that emerged in the United States during the late 1980s and early 1990s.

This movement is founded on the belief that care for the elderly should be more personalized, be provided in an atmosphere that feels like home, and take into account the individuality and personal preferences of the elderly person. The three core principles of the Culture Change movement are as follows:1. Person-centered care.

Person-centered care is one of the core principles of the culture change movement in healthcare. Person-centered care involves treating individuals with dignity and respect, recognizing their individuality, and offering personalized care to meet their unique needs and preferences. Person-centered care also includes giving individuals a say in their care and making sure that they have the ability to make informed choices about their care.

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La gerente de la empresa rc sac jessica swan decide repartir la suma de s/. 7000 entre sus tres socios de manera d.p. a 12 y 24 y a la vez d.p. a 1/3 y 1/8. indicar la parte mayor repartida.

Answers

The largest portion distributed is 6000.

The manager of the company, Jessica Swan, decides to distribute the sum of s/. 7000 among her three partners. She wants to distribute it in a proportion of 12 and 24, and at the same time, in a proportion of 1/3 and 1/8. We need to determine which portion is the largest.
To find out the largest portion, we need to calculate the amount of money each partner will receive based on the different proportions.
Let's start by calculating the portion using the proportion of 12 and 24:
- Partner 1: 12/(12+24) * 7000 = 3000
- Partner 2: 24/(12+24) * 7000 = 6000
Now, let's calculate the portion using the proportion of 1/3 and 1/8:
- Partner 1: (1/3)/(1/3+1/8) * 7000 = 4000
- Partner 2: (1/8)/(1/3+1/8) * 7000 = 3000
Comparing the portions, we can see that Partner 2 receives the largest portion in both cases. Therefore, the largest portion distributed is 6000.

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Chamoy drove 585 miles in 9 hours. Freddy drove 605 miles in 11 hours. Who drove at a faster rate?

Answers

Answer:

Chamoy

Step-by-step explanation:

585/9= 65

605/11= 55

10. dice when a pair of dice is rolled, what is the probability tha tthe sum of the dice is 5, given that exactly one of the dice shows a 3?

Answers

The probability sum of the dice is 2/11.

Let A be the event that the sum of dots is 5, then

A={(1,4), (2,3), (3,2), (4,1)}

n(A)=4

And, B is the event that one die shows a "one"

B={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (3,1), (4,1), (5,1), (6,1)}

n(B)=11

The Event that some of the dots are five and one of the die shows "one".

A intersection B = {(1,4), (4,1)}

Since n(A) = 36 (thirty-six possible samples of two dice)

P(A)=4/36

P(B)=11/36

P(A intersection B)=2/36

So, the required probability is

P(A|B)=P(A intersection B)/P(B) =2/11

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Evaluate the expression when x= -9.1, y = 14.6, and z=-6
X - Y - Z

Answers

Answer:

-17.7

Step-by-step explanation:

-9.1-14.6-(-6)

-9.1-14.6+6

-23.7+6

-17.7

. Find the area of the parallelogram at the right. Round to the nearest tenth. 1.6 cm 2.3 cm​

Answers

Answer:

3.68 cm ^2

Step-by-step explanation:

A= b x h

A= 1.6 cm x 2.3 cm

A= 3.68 cm ^2

Carlos is arranging books on shelves. He has 24 novels and 16 autobiographies. Each shelf will have the same numbers of novels and autobiographies. If Carlos must place all of the books on shelves, what are the possible numbers of shelves Carlos will use?

1, 2, 4 or 8 shelves

1, 2,4 or 6 shelves

1, 2, or 4 shelves

2, 4, 6, or 8 shelves

Answers

Answer:

the correct answer is option A ; 1, 2 , 4 or 8 shelves ! refer to the attachment for explanation!

Carlos is arranging books on shelves. He has 24 novels and 16 autobiographies. Each shelf will have the

How to find average growth?

Answers

To find the average growth, you'll need to analyze data points over a specific period of time and calculate the growth rate between each point. Here's a step-by-step guide:

1. Gather data: Collect the data points you want to analyze. These can be values related to population, financial performance, or any other growth-related metric.
2. Calculate the growth: For each pair of consecutive data points, calculate the growth rate using the formula: (New Value - Old Value) / Old Value.
3. Sum up the growth rates: Add up all the growth rates you've calculated in step 2.
4. Divide by the number of periods: To find the average growth, divide the sum of growth rates by the number of periods (data points - 1). This will give you the average growth rate for the entire time period.
Remember, the average growth rate helps you understand the overall trend of growth, but it doesn't necessarily reflect the actual growth rate at each specific point in time.

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COST SELLING PRICE AMOUNT OF MARK-ON MARK ON-RATE P345.00 P495.00 1. 2. (based on selling) P250.00

Answers

Answer:

your equation is very simple

For his long distance phone service, tony pays $3 monthly fees plus 11 cents per minute. Last month, Tony's long distance bill was $22.03. For how many minutes was tony billed

Answers

Answer:

11+11= 22 answer is $ 22.03

Find the slope of the line that passes through (3, 6) and (10, 9).

Answers

Answer:

The slope is 3/7.

Step-by-step explanation:

Use the slope formula.

Slope formula:

\(\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }\)

\(\sf{y_2=9}\\\\\sf{y_1=6}\\\\\sf{x_2=10}\\\\\sf{x_1=3}\)

Solution: Rewrite it down.

\(\sf{\dfrac{9-6}{10-3}=\boxed{\sf{\dfrac{3}{7}}}\)

Therefore, the slope is 3/7, which is the correct answer.

I hope this helps! Let me know if you have any questions.

Is x2 + 2bx - b? a perfect square trinomial? Explain. If not, what is an expression for the last term that will make it a perfect square trinomial?

Answers

The expression that will be a perfect square binomial is

x² + 2bx + b² = (x+b)²

What is meant by a perfect square trinomial?

By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similarly, trinomials are three-term algebraic expressions.

For example, if we take a binomial (x + 3)

The perfect square trinomial is (x + 3)² = x² + 6x + 9

Given equation is x² + 2bx - b

The general equation is ax² + bx +c

Comparing the expressions we get,

 a = 1

b = 2b

c = -b

A trinomial is a perfect square if and only if it satisfies the condition

b² = 4ac

Substituting the above values,

(2b)² = 4 * 1 * -b

4b² = - 4b

The value of b² can never be a negative number. So the above relation is not true for the given expression.

For the expression to become a perfect square binomial, the last term should be b².

Therefore the expression that will be a perfect square binomial is

x² + 2bx + b² = (x+b)²

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Katya decided that she could not afford the $48,000 it would cost her to attend college and get her four-year degree. Instead, she entered the full-time workforce four years earlier than her peers who went to college. During those four years, she earned a total of $90,000. However, without a college degree, Katya made an average of $10,000 less than she could have with a degree every year for the 40 additional years of her career. What was the long-term financial cost of Katya deciding to not attend college?

Answers

Answer: $310,000

Step-by-step explanation:

In 40 additional years, the amount she made less than her college counterparts was;

= 10,000 * 40

= $400,000

She however made $90,000 more than them as they went to college;

= 400,000 - 90,000

= $310,000

The long-term financial cost was $310,000.

The um of two number i 4. The larger number i 12 more than three time the maller number. What are the number?

Answers

The larger number is 8 and the smaller number is -4.

Let us assume that the larger number is x and the smaller number is y.

Now according to the question:

The sum of two numbers is 4, so

x+y= 4....(1)

A two-variable linear equation has two variables and can be represented as: ax+by=c

Here x and y are the variables, a and b are the respective cofficients of the variables and c is a constant term.

And the larger number is 12 more than three times the smaller number.

So

x=y+12 ...(2)

By equation (1) and (2)

y+12+y=4

2y= 4-12=-8

y = -4

Now put the value of y in equation (2)

x= y+12=-4+12=8

So the larger number is 8 and the smaller number is -4.

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Find the 8th term of the geometric sequence 3, 6, 12

Answers

Answer:

384

Step-by-step explanation:

You're multiplying everything bye two; 3, 6, 12, 24, 48, 96, 192, 384

a red die, a blue die are rolled and the numbers that show are recorded. how many different outcomes are possible

Answers

When the red die and the blue die are roll together and the number are recorded the total number of different outcomes possible is 36.

Red die and a blue die are at the same time and the number are recorded.

Red color die can show a total of 6 number from 1 to 6 which are already color.

Similarly the blue color die can show a total of 6 numbers from 1 to 6 which are blue in color.

At any particular time when the dice are rolled any of the number from 1 to 6 can be obtained, as we know that both the dice are thrown so there will be two combinations for the total possible outcomes which will be given by,

Combination = 6 × 6

Combination = 36

So, there are a total of 36 possible outcomes.

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For the following exercises, sketch the curves below by eliminating the parameter t. Give the orientation of the curve. x = cos(t), y = sin(t), (0, 2π]

Answers

The exercise requires sketching curve defined by the parametric equation x = cos(t) and y = sin(t)  values of t ranging from 0 to 2π.  


The parametric equations x = cos(t) and y = sin(t) represent a circle of radius 1 centered at the origin. To eliminate the parameter t and obtain the Cartesian equation, we can use the trigonometric identity cos^2(t) + sin^2(t) = 1. Squaring both equations and adding them together, we get x^2 + y^2 = 1, which is the equation of a circle with radius 1. This implies that the curve traced by the parametric equations is a circle of radius 1.

For the given range of t from 0 to 2π, the curve starts at the point (1, 0) on the right side of the circle and moves counterclockwise along the circle until it reaches the starting point again. The orientation of the curve is counterclockwise due to the positive increment of t.

Thus, the sketch of the curve is a circle centered at the origin with a radius of 1, and it starts and ends at the point (1, 0) moving counterclockwise.

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Which of the following indicate that the result from a simple linear regression model could be potentially misleading? a. The error terms follow a normal distribution b. The error terms exhibit homoscedasticity c. Then n th error term (e_n) can be predicted with e_n = 0.91 * e_n - 1 d. The dependent and the independent variable show a linear pattern

Answers

The correct answer is: c. The n-th error term (e_n) can be predicted with e_n = 0.91 * e_n - 1.

This statement indicates that there is a correlation or relationship between consecutive error terms, where the n-th error term can be predicted based on the previous error term. In a simple linear regression model, the error terms are assumed to be independent and have no correlation with each other.

However, if there is a correlation between the error terms, it violates the assumption of independence, which can lead to biased and unreliable regression results. Therefore, this condition suggests that the result from the simple linear regression model could be potentially misleading.

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A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1/2 hour?

Answers

If this has a constant, it would travel 13.5 miles in an hour, therefore it would travel 6.75 miles in a half hour.

27/2=13.5mph.
13.5/2=6.75miles per half hour

6.75

Which is greater? 2/6 or 4/10?

Answers

2/6 = 1/3
4/10 = 1/5

2/6 is greater

Answer:

4/10

Step-by-step explanation:

4/10 = 0.4 = 0.40

2/6 = 0.33

so, 0.40 is greater than 0.33

5. In the equation for exponential functions, y = a.b*, how does the a term relate to a key feature of the graph?​

5. In the equation for exponential functions, y = a.b*, how does the a term relate to a key feature of

Answers

Step-by-step explanation:

A shows the initial value or y intercept.

Why.

A exponential function is shown as

\(a(b {}^{x} )\)

If we are trying to find the y intercept, we first set this equal to y

\(a( {b}^{x} ) = y\)

Set x=0

\(a {b}^{0} = y\)

And solve for y.

Remeber that anything raised to the zero power is 1. So

\(b {}^{0} = 1\)

So we have

\(a(1) = y\)

Anything times 1 is itself so we have

\(a = y\)

This means that the y intercept of a exponential function is (0,a). A gives us the y intercept.

Help!!
10points!!!!!!!!!!!!!!!!!!!!

Help!!10points!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

12 cup glass and glass is the only thing I have to get in to the ball on it because it was the only

Answer:

6 pint = 12 cups

16 pints = 8 quarts

8 fluid ounces = 1 cup

And 8 pints = 1 gallon

Which is the factor in this operation 13x 2 yz

Answers

The factors in the expression 13x²yz are 13, x², y, and z.

What are the factors?

A factοr is a number that divides anοther number withοut leaving a remainder. Fοr example, the factοrs οf 12 are 1, 2, 3, 4, 6, and 12, because these numbers divide 12 withοut leaving a remainder.

The expressiοn 13x²yz is a multiplicatiοn οf several terms. The factοrs in this expressiοn are:

13 is a cοnstant quantity. This means that its value dοes nοt change and it dοes nοt depend οn any variables. It is simply a number that is being multiplied with the οther terms.

x² is a variable quantity raised tο the pοwer οf 2. This means that x is a variable and the 2 as an expοnent indicates that it is being multiplied with itself. In οther wοrds, x² is the same as x multiplied by x. This is knοwn as "x squared".

y and z are alsο variable quantities, but they dο nοt have any expοnents attached tο them. They are simply variables that are being multiplied with the οther terms.

When we put all of these terms together and multiply them, we get the expression 13x²yz. So, to summarize, the factors in this expression are:

13, which is a constant factor

x², which is a variable factor raised to the power of 2

y, which is a variable factor

z, which is a variable factor

Therefore, the factors in the expression 13x²yz are 13, x², y, and z.

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According to Gopnik. How do you ask babies what they think, since most are just barely walking and talking?What was the difference between the responses from the 15-month-old and the 18 month-olds?Gopnik discusses a correlation between a long childhood and knowledge and learning, explain this correlation. Gopnik mentions that "the children are doing statistics," what does she mean by this?Do you think that babies are more or less conscious than adults? Explain

Answers

According to Gopnik, to ask babies what they think, scientists must use experimental methods.

The 18-month-olds had a more advanced understanding of language and object permanence.

Gopnik states that a long childhood gives the child a great deal of time to learn from and interact with their environment.

By saying "the children are doing statistics" Gopnik means that babies are capable of forming and processing complex patterns of information.

I believe babies are less conscious than adults.

According to Gopnik, the way to ask babies what they think is through experiments that test their abilities and responses to different situations such as showing them images of objects and measuring their eye-movement or using language probes and examining their response to questions. For example, she discusses an experiment where babies are shown a box with a toy inside and then the box is moved to a different location. The babies are then observed to see if they look for the toy in the new location or the old location. This can give insight into their understanding of object permanence.

The difference between the responses of the 15-month-old and the 18-month-old babies in the experiment was that the 15-month-olds tended to look for the toy in the old location, while the 18-month-olds looked for it in the new location. This suggests that the 18-month-olds have a better understanding of object permanence than the 15-month-olds.

Gopnik discusses a correlation between a long childhood and knowledge and learning by explaining that humans have a longer childhood than other animals, which allows for more time to learn and acquire knowledge. This extended period of learning is what allows humans to develop complex skills and abilities.

When Gopnik mentions that "the children are doing statistics," she means that they are making predictions and drawing conclusions based on the information they have observed. For example, if a child sees that a ball always bounces when it is dropped, they will predict that it will bounce the next time it is dropped.

In my opinion, babies are more conscious than adults in some ways and less conscious in others. Babies are more aware of their immediate surroundings and are constantly taking in new information and learning from it. However, they are less conscious of abstract concepts and long-term consequences than adults.

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Michael made 12 out of 18 free throws at basketball practice. What is the ratio of baskets made to the total numbers of baskets?

Answers

Answer:

2:3

Step-by-step explanation:

You can simplify 12/18 to 2:3 also if michel is that good at basketball he should go to the NBA


Find the distance between (-5,3) and (2,-1).

Answers

Answer:

distance = sqrt( 65 ) ~= 8.06

Step-by-step explanation:

To find the distance between two points, we can use the distance formula.

distance = sqrt( [x2 - x1]^2 + [y2 - y1]^2)

distance = sqrt( [-5 - 2]^2 + [3 - -1]^2)

distance = sqrt( [-7]^2 + [4]^2)

distance = sqrt( 49 + 16 )

distance = sqrt( 65 ) ~= 8.06

Cheers.

Answer: d=8.06

Step-by-step explanation:

To this the distance between two points, you would need the distance formula.

Distance Formula: \(d=\sqrt{(x_{2}-x_{1} )^2+(y_{2} -y_{1} )^2}\)

Since we have two given points, all we have to do is plug them in.

\(d=\sqrt{(2-(-5) )^2+(-1 -3 )^2}\)              [parentheses]

\(d=\sqrt{(7)^2+(-4 )^2}\)                                [exponent]

\(d=\sqrt{49+16}\)                                        [add]

\(d=\sqrt{65}\)                                                [square root]

\(d=8.06\)

Now we know that the distance is d=8.06.

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