The following are the ages of the children in your neighborhood playschool. 1, 5, 4, 8, 2, 5, 10

1. What is the MEAN age of the children in your neighborhood playschool?​

To determine how well Feng must score on exam B, we can use z-scores and the concept of standard deviations.

First, let's calculate the z-score for Feng's score on exam A:

z-score = (x - mean) / standard deviation

z-score for exam A = (81 - 76) / 10 = 0.5

This means that Feng's score on exam A is 0.5 standard deviations above the mean of exam A.

To find out how well Feng must score on exam B, we need to calculate the equivalent score in terms of z-scores for exam B.

x = mean + (z-score * standard deviation)

x = 300 + (0.5 * 50) = 325

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The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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Answer:

I would say about 45 degrees because 30 feet is 3 times of 10 feet so if 10 feet equals to 45 degrees, than 30 feet is equal to 135 degrees.

Step-by-step explanation:

30/3= 10 135/3= 45

45+45= 90+45=135

so 30/135: 3/3 = 10/45

The population of the world be in 2030 is 8.6 billion.

Given that,

a. = 6.9 billion

V= 1.1 % = 0. 011

a ) Let An represents The population on year after

2010 .

Population grow rate= 1.1%.

So ,

an = an-1 + an-1 ( 1.1 % )

an = an-1 + an-1 (0. 011 )

an = an- 1 ( 1.011 )

(B)

Given ,

ao = 6.9 billion

an = ( 1 .011 ) an- 1

an = (1 .011 ) an- 1 = (1 .011 ) (1 .011) an - 2 = ( 1 .011) (1 .011 ) an- 3

= ( 1.031 ) 3 ( 1 1018 ) an-4 .. . .

an = ( 1 1 012 ) " - ( 1 012 ) am-n

an = ( 1 .01 1 ) " ap

(ao = 6.9 )

an = 6 .9 ( 1 . 01 1 ) h

Now ,

an = 6 . 9 ( 1 . 0 1 1 ) 2

( means 20 year Later from 2010. )

at 2030

So , n = 20

2 20 = 6.9 ( 1 . 0 11 ) 20

a20 = 609 ( 1. 24 4 580 8428 )

a20 = 8.58 7607815 billion

or

azo = 8.6 billion

( rounded to + decimal place)

Thus, 8.6 billion people will live on Earth in 2030.

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Answer:

D) 408

E) 684

F) 377

Step-by-step explanation:

In these problems, we can simplify the multiplication using these steps:

1. split each number into a tens and ones place

2. multiply each place of the bottom number by both places of the top number (but remember that a digit in the tens place has a zero after it)

3. add the resulting values

D) First, we can split each number into a tens and ones place:

17 = 10 and 7

24 = 20 and 4

Next, we can multiply each digit of the bottom number by both digits of the top number:

(4 × 7)

(4 × 10)

(20 × 7)

(20 × 10)

Finally, we can add all of these values:

(4 × 7) + (4 × 10) + (20 × 7) + (20 × 10)

= 28   +     40    +     140    +     200

= 408

E)

36 = 30 and 6

19 = 10 and 9

Multiplying the places:

(9 × 6)

(9 × 30)

(10 × 6)

(10 × 30)

Adding these values:

(9 × 6) + (9 × 30) + (10 × 6) + (10 × 30)

= 54    +    270    +    60     +    300

= 684

F)

29 = 20 and 9

13 = 10 and 3

Multiplying the places:

(3 × 9)

(3 × 20)

(10 × 9)

(10 × 20)

Adding these values:

(3 × 9) + (3 × 20) + (10 × 9) + (10 × 20)

= 27    +    60      +     90    +    200

= 377

Answer:

Olga

Step-by-step explanation:

To calculate average speed we can compare their hourly rate

Trisha ran 10km in 2.5 hours which is equal to 4km in an hour

Jason ran 7.5km in 2 hours which is equal to 3.75km an hour

Olga ran 9.5km in 2.25 hours which is equal to 4.2 an hour approximately

Answer:

Larger number: 39

Smaller number: 19

Step-by-step explanation:

Write two equations and solve the system of equations.

One number can be x. The other number can be y.

"sum" means adding.

x + y = 58

"difference" means subtracting.

x - y = 20

Take both equations, stack them and add them together from the top down.

x + y = 58

x - y = 20

_________

2x = 78

Divide by 2

x = 39

Use either original equation to find the other number.

x + y = 58

39 + y = 58

subtract 39

y = 19

The bigger number is 39 and the smaller number is 19.

Answer:

S = 180 - 100

= 80

Q = 180 - 70

= 110

*in a parallelogram, the sum of opposite angles is equal to 180

Answer:

s+h=40 and 18s+14h=700

Step-by-step explanation:

lets say  

s= number of scarves sold  

and  

h=number of hats sold  

since the total of hats/scarves equals 40 then that means that scarves+hats sold equals 40 so  

s+h=40  

the second constraint it found similarly,

scarves and hats are being sold for 18$ and 14$ respectively and together they need to equal 700$ so you plug it into a similar equal as before  

18s+14h=700              

Based on the fact that Jessica and her best friend split the money and were able to get $16.32, the total amount that they found was $32.64

The fact that they split the money evenly means that they split it in half which each person getting the same amount.

This means that the total amount they found was twice the amount that Jessica and her best friend got.

The total amount found is therefore:

= Jessica's share + Best friend's share

= 16.32 + 16.32

= $32.64

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Answer:

8.24243226

Step-by-step explanation:

Same as the previous one I answered.

Tan = Opposite/ Adjacent

Adjacent = Opposite / Tan(20)

Answer:

y = -5x - 4

Step-by-step explanation:

yeah-ya............ right?

Answer:

A. 16

Explanation:

If n =4

Therefore, all of the following expressions are equal to 1/16 except 16.

The correct choice is A.

Answer:

Step-by-step explanation:

Both pools were filled 6 inches from the top.

12 inches = 1 feet

6 inches = 6/12 = 0.5 foot

Considering Theresa's pool, it is rectangular. The formula for determining the volume if the rectangular pool is

Volume = length × width × height

Height filled is 4 - 0.5 = 3.5 feet

Volume = 30 × 15 × 3.5 = 1575 ft³

Recall, 1 cubic feet = 7.48 Us gallons

Therefore,

1800 cubic feet = 1575 × 7.48 = 11781 gallons of water

Theresa fills her pool using city water at a rate of $3.95 per 100 gallons of water. It means that the amount she paid to fill her pool is

3.95 × 11781/100 = $465.35

Considering Nancy's pool, it is cylindrical. The formula for determining the volume if the cylindrical pool is

Volume = πr²h

Diameter = 24

Radius = diameter/2 = 24/2 = 12 ft

Volume = 3.14 × 12² × 3.5 = 1582.56 ft³. Converting to gallons, it becomes

1582.56 × 7.48 = 11837.55 gallons of water.

Nancy fills her pool with a water delivery service at a rate of $200 per 6000 gallons.

It means that the amount she paid to fill her pool is

200 × 11837.55/6000 = $394.59

Therefore, Theresa paid more to fill her pool.

Answer: It would be less expensive for Mr. Steiner to purchase the batteries in 12-packs.

Step-by-step explanation:

ii. The difference between the costs of one battery from each pack is $0.02 or 2 cents.

Step-by-step explanation:

A way to respond to these questions is as follows:

To purchase 60 AA batteries, we have to:

Buy 3 20-pack of AA batteries (since 3 * 20-pack = 60 batteries), or

Buy 5 12-pack of AA batteries (since 5 * 12-pack = 60 batteries).

We also know that a 20-pack costs $12.49 and a 12-pack costs $7.20.

Part 1: Which package is less expensive?

Case 1: How much does it cost 3 20-pack of AA batteries?

Three packages cost: 3 * $12.49 = $37.47

Case 2: How much does it cost 5 12-pack of AA batteries?

Five packages cost: 5 * $7.20 = $36.00

Then, it is less expensive for Mr. Steiner to purchase 5 12-packs batteries (which cost $36) than 3 20-packs batteries (which cost $37.47).

Part 2: Difference between the costs of one battery from each pack

The question we need to answer here is, how much does it cost one battery from each pack?

For this, we need to divide the total costs that we obtained in Part 1 by the total of batteries to be purchased, that is, 60.

Then, for Case 1, the cost of one battery for this purchase is:

\(\frac{37.47}{60battery} = \frac{0.62}{battery}\) or 62 cents per battery.

For Case 2, the cost of one battery for this purchase is:

\(\frac{36.00}{60battery} =\frac{0.60}{battery}\) or 60 cents per battery.

So, the difference between the costs of one battery from each pack is:

62 cents per battery - 60 cents per battery = 2 cents per battery.

Then, one battery from the 12-pack is less expensive than one battery from the 20-pack in 2 cents.

You can mark it as brainliest if you want.

Answer:

The LCM (Least Common Multiple) of 15 and 143 is 2,145

Step-by-step explanation:

List the first 10 multiples of 15 first. (or more)

15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360,

Now for 143

143:143,286,429,572,715...

So their CM is 2,145

But maybe, it is not their LCM

The initial value, base, domain and the range of the function are given in the explanation below.

Consider the exponential function: f(x) = 3(Five-fourths) Superscript x

The initial value for this function is 3

The base for this function is 5/4

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).

The domain for this function is all real numbers.

The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range for this function is  y>0.

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Answer:

1) 3

2) 5/4

3) All real numbers

4) y>0

Step-by-step explanation:

Answer:

3 is first

4 is second

1 is third

2 is fourth

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it helps keep the insulation in so their feet get cold

The correct choice that gives a point preserving the function is C) (-5, -2).

To determine which point preserves the function, we need to check if it follows the pattern of the existing data in the table. The given table shows y as a function of x, so we need to look for a point that, when added, maintains the relationship between x and y.

Looking at the existing data in the table, we can see that as x decreases, y also decreases. Specifically, as x goes from -6 to -3, y goes from 7 to 2. Therefore, the relationship between x and y is that for every increase of 1 in x, y decreases by 1.

Among the given choices, only option C) (-5, -2) follows this pattern. If we add -5 to the table, we would expect y to be -2, as it maintains the relationship between x and y.

In contrast, the other options do not preserve the function. Option A) (9, 8) and B) (-6, 3) do not follow the pattern observed in the table, as they do not result in the expected decrease in y for the given change in x. Option D) (-3, -8) also does not preserve the function since it results in a different y-value than what is indicated by the pattern in the existing table.

Therefore, the correct choice that gives a point preserving the function is C) (-5, -2).

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if there is 2 pizza and 5 children then 1/5 (fraction) of a pizza, or two slices, must be given to each child.

Start with two pizzas of equal size. Cut each pizza into 5 equal slices, so you have a total of 10 slices. Give each child 2 slices of pizza. Each child receives 2 slices of pizza, which is:

2/10 = 1/5 of a pizza

Each child now has 1/5 of a pizza.

Since there are 5 children, the total amount of pizza shared is:

5 × (1/5) = 1 pizza

Therefore, each child has 1/5 of a pizza, or 0.2 of a pizza.

To get the total amount of pizza that was shared, we can add up the amount of pizza each child received:

5 × (2/10) = 1 pizza

So, each child receives 2 slices of pizza, which is 1/5 of a pizza, and the total amount of pizza shared is 2 pizzas, or 1 whole pizza per 2 children.

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number one because if you do the math it's the o nly one that's different

Answer: 4 : 15

Step-by-step explanation:

The unit ratio of 2 : 8 is 1 : 4

The unit ratio of 5 : 20 is 1 : 4

The unit ratio of 3 : 12 is 1 : 4

However, the unit ratio of 4 : 15 is 4 : 15

Hope this helped!

To apply the power rule for differentiation to the function f(x, y) = 5x^4y^3 + 3x^2y + 4x + 5y, we differentiate each term with respect to x while treating y as a constant.

The power rule states that if we have a term of the form x^n, where n is a constant, then the derivative with respect to x is given by nx^(n-1).

Let's differentiate each term one by one:

For the term 5x^4y^3, the power rule gives us:

d/dx (5x^4y^3) = 20x^3y^3.

For the term 3x^2y, the power rule gives us:

d/dx (3x^2y) = 6xy.

For the term 4x, the power rule gives us:

d/dx (4x) = 4.

For the term 5y, y is a constant with respect to x, so its derivative is zero.

Putting it all together, we have:

fx(x, y) = 20x^3y^3 + 6xy + 4.

Therefore, the derivative of the function f(x, y) with respect to x is fx(x, y) = 20x^3y^3 + 6xy + 4.

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Answer:

At least 7 girls: 0.5^7 OR 0.0078125

At least 8 girls: 0.5^8 OR 0.00390625

Answer:

2/19

Step-by-step explanation:

Rewrite the mixed number as an improper fraction. Frist, multiply 2x8 then add that to 3 to get 19/8. Now you have 1/4 / 19/8. Multiply by the reciprocal of the denominator. Now you have 1/4 x 8/19. 1 x 8 = 8. 4 × 19= 76. This gives you 8/76. You can simplify this by dividing the numerator and denominator by 4. This would give you 2/19.

Answer:

576

Step-by-step explanation:

-67+ r7  

The sample size increases, the probability of obtaining a sample mean less than 3500 decreases. The mean of the sample mean distribution is equal to the population mean, which is 7500.

a) The probability that, on a single test, x is less than 3500 can be calculated using the standard normal distribution. We need to standardize the value using the z-score formula: z = (x - μ) / σ. Substituting the given values, we get z = (3500 - 7500) / 1750 ≈ -2.286.

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of -2.286. The probability is approximately 0.0116, or 1.16%. Therefore, there is a 1.16% chance that a single test result will be less than 3500, indicating leukopenia.

(b) When the doctor uses the average x (sample mean) for two tests taken about a week apart, the probability distribution of x (sample mean) follows a normal distribution. The mean of the sample mean distribution is equal to the population mean, which is 7500. The standard deviation of the sample mean distribution is equal to the population standard deviation divided by the square root of the sample size. In this case, the sample size is 2.

The probability distribution of x (sample mean) < 3500 can be calculated by standardizing the value using the z-score formula and then finding the corresponding probability from the standard normal distribution table or a calculator. With two tests, the probability distribution will be narrower compared to a single test. The exact probability depends on the specific value of the sample mean and the standard deviation of the sample mean distribution.

(c) When considering three tests taken a week apart, the process is similar to part (b). The mean of the sample mean distribution remains the same at 7500, but the standard deviation of the sample mean distribution is now divided by the square root of 3, since the sample size is 3. As the sample size increases, the standard deviation of the sample mean distribution decreases, resulting in a narrower distribution.

The probability distribution of x (sample mean) < 3500 can be calculated using the z-score formula and finding the corresponding probability from the standard normal distribution table or a calculator. With three tests, the probability distribution will be even narrower compared to two tests.

In summary, as the sample size increases, the probability of obtaining a sample mean less than 3500 decreases. With more tests, we can have greater confidence in the accuracy of the sample mean and draw stronger conclusions about the individual's condition. If a person had a sample mean less than 3500 based on three tests, it would indicate a higher level of certainty about the presence of leukopenia, potentially leading to further investigation or treatment options.

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The North Campus had 120 students and the South Campus had 1080 students before the merger, as 10 percentage and 90% of the 1200 students at the Central Campus were from the North and South Campuses respectively.

The first step in solving this problem is to calculate the total number of students at both campuses before the merger. We know that the North Campus had 10% of its students as women and that the South Campus had 50% of its students as women. This means that the North Campus had 10% of its students as women, and the South Campus had 90% of its students as men. By multiplying these percentages by the total number of students at the Central Campus (1200), we can determine that the North Campus had a total of 120 students (10% of 1200) and the South Campus had a total of 1080 students (90% of 1200). Thus, the North Campus had 120 students and the South Campus had 1080 students before the merger.

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For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.

The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.

It measures the strength and direction of the relationship between two variables.

Ranging from -1 perfect negative correlation to 1 perfect positive correlation.

And with 0 indicating no correlation.

It is commonly used in research to examine the association between two variables.

Such as the relationship between height and weight, or between income and education level.

Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.

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The above question is incomplete, the complete question is:

The most common purpose for a Pearson correlation is to examine,

a. The relationship between 2 variables

b. Relationships among groups

c. Differences between variables

d. Differences between two or more groups