actually thats wrong bc my teacher did it with us but i really dont know the answer

Answer: It takes 8 newtons to accelerate a 25-pound wagon.

Under normal distribution, the percentage of scores between the mean and a given score can be calculated using the  z-score method.

To find the percentage of scores between the mean and a specific score under normal distribution, you can use the following steps:

1. First, find the z-score for the specific score. The z-score is the number of standard deviations a specific score is from the mean. The formula for z-score is: z = (x - μ)/σ, where x is the specific score, μ is the mean, and σ is the standard deviation.

2. Next, use a z-table or calculator to find the area under the curve for the z-score. This will give you the probability of a score being less than the specific score.

3. Since you are looking for the percentage of scores between the mean and the specific score, you need to subtract the probability of a score being less than the mean (which is always 0.5) from the probability of a score being less than the specific score. This will give you the percentage of scores between the mean and the specific score.

So, if the mean is 100, the standard deviation is 15, and the specific score is 115, the z-score would be (115 - 100)/15 = 1. The probability of a score being less than 115 is 0.8413, according to the z-table. So, the percentage of scores between the mean and the specific score would be 0.8413 - 0.5 = 0.3413, or 34.13%.

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Answer:

Step-by-step explanation:

\(b^{2*3} =b^{6}\)

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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Answer:$36.40

Step-by-step explanation

16 ounces in 1 pound

0.65 x 16 = $10.40

Peanuts

0.65 x 8 = $5.2 (you do this to get the extra 8 ounces)

$10.40 + $5.2 = $15.6

Pecans

$10.40 + $10.40 = 20.8

Total

$15.6 + 20.8 = $36.40

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.

In Mathematics, there are different types of functions and these include the following;

For the given function f(x) = 3√(x - 2), the restriction on the value under the square root symbol is that it cannot take a negative number. This ultimately implies that, all the values under the square root symbol must be greater or equal to 0.

A domain can be defined as the set of all real numbers for which a particular function is defined. Thus, the domain of this function are all real numbers and these include the following:

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The ore contains approximately 11.0% copper. Out of the 540 castings, approximately 81 castings were scrapped. In a ton of Monel metal, there are approximately 1380 lbs of nickel and 560 lbs of copper. The discounted amounts for the bills are: (a) $382.20, (b) $1,004.30. The amount due on the $144.00 bill, subject to discounts of 40% and 2% if paid within 15 days, is $86.40.

26.To calculate the percentage of copper in the ore, we divide the weight of copper (0.357 lbs) by the weight of the ore (3.249 lbs) and multiply by 100. The ore contains approximately 11.0% copper.

27. Out of the 540 castings, 15% were found defective and scrapped. To find the number of scrapped castings, we multiply 540 by 15% to get approximately 81 castings that were scrapped.

28. In a ton of Monel metal, 69% of the weight is nickel and 28% is copper. Assuming a ton is 2000 lbs, we calculate the weight of nickel as 69% of 2000 lbs, which is approximately 1380 lbs. The weight of copper is 28% of 2000 lbs, approximately 560 lbs.

29. The given bills of $390.00 and $1,024.80 are subject to a 2% discount if paid within 30 days. To find the discounted amounts, we subtract 2% of each bill from the original amounts. The discounted amount for (a) $390.00 is approximately $382.20, and for (b) $1,024.80 is approximately $1,004.30.

30. A bill for $144.00 is subject to discounts of 40% and 2% if paid within 15 days. First, we apply the 40% discount to get $86.40. Then, we apply the additional 2% discount to the discounted amount, which remains $86.40. Therefore, the amount due on the bill is $86.40.

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Answer:

AE = 26 units

Step-by-step explanation:

Given that ABC is congruent to EDC, therefore, the corresponding angles and corresponding lengths of ∆ABC and ∆EDC are equal to each other in measure.

AE = 2(AC) = 2(CE) or

AE = AC + CE

Let's find the AC using Pythagorean Theorem, since the ∆s are both right triangles.

BA is congruent to DE.

Since DE = 12 units, therefore, BA = 12 units.

BC = 5 units (given)

Using Pythagorean Theorem:

AC² = BA² + BC²

AC² = 12² + 5² (substitution)

AC² = 144 + 25 = 169

AC = √169

AC = 13 units

Since ∆ABC = ∆EDC, therefore:

AE = 2(AC)

AE = 2(13)

AE = 26 units

Answer:

Step-by-step explanation:

Given function:

The time the javelin is in the air is the difference of zero's of the function:

Time in the air:

It is better visible on the graph

\(answer = 12 \: ft \\ solution \\ perimeter = 43 ft\\ breadth = 9 \times \frac{1}{2} = \frac{19}{2 } = 9.5 \: ft\\ now \\ perimeter \: of \: \: rectangle = 2(l + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 43= 2(l + 9.5) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 43 = 2l + 19 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - 2l = 19 - 43 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - 2l = - 24 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: l = \frac{ - 24}{ - 2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: l = 12 \: ft \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)

Answer:

\(length = 12ft\)

Step-by-step explanation:

Given that,

\(width =9 \frac{1}{2} = 9.5\)

Let's find the length

\(perimeter \\43 = 2(l + w) \\ 43= 2(l + 9.5) \\ 43 = 2l + 19 \\ 43 - 19 = 2l \\ 24 = 2l \\ \frac{24}{2} = \frac{2l}{2} \\ l = 12\)

hope this helps

brainliest appreciated

good luck! have a nice day!

The probability that a randomly chosen penguin is a male or a rockhopper is P = 0.679

To find this probability we need to take the quotient between the number of penguins that make the event true (are males or rockhopper) and the total number of penguins.

There are 38 + 15 = 53 penguins in total.

There are 15 rockhopper ones, and plus these there are 21 males from the african ones.

Then the number of ones that are either male or rockhopper are 21 + 15 = 36

Then the probability is:

P = 36/53 = 0.679

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The probability that a client owns both stocks and bonds in their retirement portfolio is 0.22.

We know the formula for the probability of the intersection of two events,

P(A and B) = P(A) x P(B|A)

Where P(A) is the probability of event A,

And P(B|A) is the conditional probability of event B given that event A has occurred.

In this case,

We want to find the probability that a client owns both stocks and bonds, so we can let,

A = owning stocks B = owning bonds

According to the problem statement,

P(A) = 0.80 (the probability of owning stocks)

P(B) = 0.40 (the probability of owning bonds)

P(A and B|B) = 0.55 (the probability of owning stocks given that the client already owns bonds)

Using the formula, we can calculate the probability of owning both stocks and bonds as,

⇒ P(A and B) = P(B) x P(A and B|B)

                      = 0.40 x 0.55

                      = 0.22

Therefore, The probability that a client owns both stocks and bonds in their retirement portfolio is 0.22 or 22%.

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The correct order from best to worst of the sample groups is b→ a→ c.

The study conducted by the City Council of USA incorporates the reviewing for the funding for local sports-related activities.

There are 3 sample groups selected from the population of Anytown residents with an active interest in sports. They are:

a. High-school students at three different schools.

b. People randomly approached at a softball tournament, a swim meet, an athletic supply store, and a sports bar.

c. People randomly approached at a department store and at a shopping mall

All these groups are selected randomly.

But for (b), the people are obviously interested in sports activities, as they are selected from softball tournament, a swim meet, an athletic supply store, and a sports bar.

Next would be (a), because the students being younger is probably more interested in sports than elder ones.

The last would be the (c), people selected from the department store since they would be less aware of local- sports related activities.

So the order of samples from best to worst is b→ a→ c.

The question is incomplete. Find the complete question below:

The city council of Anytown, U.S.A., is reviewing the funding for local sports-related activities. To be better informed, it commissions a study. Order the sample groups, best to worst, based on how well they would represent the population of Anytown residents with an active interest in sports.

a. high-school students at three different schools

b. people randomly approached at a softball tournament, a swim meet, an athletic supply store, and a sports bar

c. people randomly approached at a department store and at a shopping mall

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Answer:

r≈7.4

Step-by-step explanation:

C=2πr

Solving forr

r=C

2π=46.47

2·π≈7.39625

Hope this helps! Happy friday!

The plans are illustrations of system of linear equations

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

Let A represent plan A, and B represents plan B

On Monday, we have:

4A + 8B = 9

On Tuesday, we have:

2A + 3B = 4

Multiply the second equation by 2

2 * (2A + 3B = 4)

4A + 6B = 8

Subtract this equation from the first equation.

So, we have:

4A - 4A + 8B - 6B = 9 - 8

3B = 1

Divide both sides by 3

\(\mathbf{B = \frac 13}\)

Substitute 1/3 for B in 2A + 3B = 4

\(\mathbf{2A + 3 \times \frac 13 = 4}\)

2A + 1 = 4

Subtract 1 from both sides

2A = 3

Divide both sides by 2

\(\mathbf{A = 1\frac 12}\)

This means that:

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

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The factorizations of the given numbers are:

(a) n=72653551: p=8537 and q=8513.

(b) n=66026431: p=8111 and q=8147.

(c) n=25100099: p=5009 and q=5011.

(a) Given n=72653551 and 11886459^2 ≡ 1 (mod 72653551), we can infer that 11886459 is a non-trivial square root of 1 modulo n. To find the factorization of n, we compute the greatest common divisor (gcd) of n and (11886459 - 1). The gcd is equal to 8537, which is one of the prime factors of n. By dividing n by 8537, we obtain the other prime factor q=8513.

(b) For n=66026431 and ϕ(n)=66010000, we observe that ϕ(n) is close to n. This suggests that n might be a product of two prime numbers that are very close to each other. By factoring ϕ(n), we find that ϕ(n) = 8110 * 8146. Thus, the prime factors of n are p=8111 and q=8147.

(c) Given n=25100099 and q=p+2, we can rewrite q as (p+2) and substitute it into the equation n=pq. This gives us p(p+2)=25100099. By solving this quadratic equation, we find that p=5009 and q=5011.

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Yes, there is a difference of squares in mathematics. A difference of squares is an algebraic expression in the form of (a - b)(a + b), where a and b are two real numbers. This expression can be expanded into a polynomial using the distributive property of multiplication over addition.

The difference of squares can be helpful in solving equations and in factoring polynomials. When we have an equation in the form of a^2 - b^2, we can use the difference of squares to factor the expression into (a - b)(a + b). This can simplify the equation and make it easier to solve.

For example, consider the equation x^2 - 4. This equation can be factored into (x - 2)(x + 2) using the difference of squares. By factoring, we can see that the solutions to the equation x^2 - 4 are x = 2 and x = -2.

In summary, the difference of squares is a useful concept in algebra and helps in solving equations and factoring polynomials.

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Answer: Super Lightweight to Middleweight

Step-by-step explanation: I'm assuming you're talking about boxing weight class. If not, please let me know.

Answer:

Step-by-step explanation:

the equation of said line would be y=2x +3

it would look like this graph

Answer:

(x,y) --> (2,1)

Step-by-step explanation:

hope this helps

The function f(x) = 8x² + 4x written in vertex form include the following: A. f(x) = 8(x + 0.25)² - 1/2.

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

In order to write the given function in vertex form, we would have to apply completing the square method as follows;

f(x) = 8x² + 4x

f(x) = 8[x² + 0.5x]

f(x) = 8[x² + 0.5x + (0.5/2)² - (0.5/2)²]

f(x) = 8[(x² + 0.5x + 1/16) - 1/16]

f(x) = 8[(x + 0.25)² - 1/16]

f(x) = 8(x + 0.25)² - 8/16

f(x) = 8(x + 0.25)² - 1/2

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Complete Question:

What is f(x) = 8x² + 4x written in vertex form?

f(x) = 8(x + 0.25)² - 1/2

f(x) = 8(x + 0.25)² - 1/16

f(x) = 8(x + 0.5)² - 2

f(x) = 8(x + 0.5)² - 4

Answer:

d

Step-by-step explanation:

The direction of the hike from the given vectors represented by the vector C is approximately -26.57° with respect to the positive x-axis.

To find the sum of the displacement vectors A and B, you simply add their respective components.

Vector A = (2.0i + 2.0j) m

Vector B = (2.0i - 4.0j) m

To find the sum (vector C), add the corresponding components,

C = A + B

= (2.0i + 2.0j) + (2.0i - 4.0j)

= 2.0i + 2.0j + 2.0i - 4.0j

= 4.0i - 2.0j

So, the vector representing the sum of A and B is (4.0i - 2.0j) m.

The components of the resulting vector C are 4.0 in the x-direction (i-component) and -2.0 in the y-direction (j-component).

To determine the direction of the hike,

Calculate the angle of the resulting vector with respect to the positive x-axis.

The angle (θ) can be found using the arctan function,

θ = arctan(-2.0/4.0)

θ = arctan(-0.5)

θ ≈ -26.57° (rounded to two decimal places)

Therefore, the direction of the hike represented by the vector C is approximately -26.57° with respect to the positive x-axis.

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The margin of error can be calculated using the formula:
Margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2

In this case, a margin of error of 9.55 suggests that the sample mean is quite precise, since it's relatively close to the true population mean (which we know to be 52.90).

In this case, the lower limit of the confidence interval is 43.85 and the upper limit is 61.95.
Margin of error = (61.95 - 43.85) / 2
Margin of error = 9.55
Therefore, the margin of error is 9.55. This means that if the sample size were to be repeated, we would expect the sample mean to be within 9.55 units of the true population mean 95% of the time.
It's worth noting that the confidence interval provides a range of values within which we can be reasonably certain that the true population mean lies. The margin of error, on the other hand, gives us an indication of the precision of our estimate. However, if the margin of error were larger, this would indicate that our estimate is less precise and that we need a larger sample size to obtain a more accurate estimate of the population mean.

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Answer:

there are 50 people in the class

Step-by-step explanation:

20=%40

10=%20

5=%10

%10x10=%100

replace 10 percent with its equal, which is 5

5x10=50

The solution is 50 students

The total number of students in the class is 50 students

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of students in the class be A

Now , the value of A is

The number of students in the class who likes apples = 20 students

The percentage of students who likes apples = 40 %

So , the equation will be

percentage of students who likes apples x total number of students in the class = number of students in the class who likes apples

Substituting the values in the equation , we get

( 40 / 100 ) A = 20

On simplifying the equation , we get

Multiply by 100 on both sides of the equation , we get

40A = 2000

Divide by 40 on both sides of the equation , we get

A = 2000 / 40

A = 50 students

Therefore , the value of A is 50 students

Hence , the total number of students is 50 students

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12/35 fraction of the total number is unused from two different cards.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Assuming the total first kind of card form is 1 and the total second kind of card form is also one.

Given, a company buys equal numbers of two different card forms. it utilizes 4/5 of one kind and 6/7 of the other.

∴ The total unused card form is,

= (1 + 1) - (4/5 + 6/7).

= 2 - (28 + 30)/35.

= 2 - 58/35.

= (70 - 58)/35.

= 12/35.

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Answer: \(9\frac{13}{24}\)

Step-by-step explanation:

Add 2 and 7.

9

Add 1/16 and 3/8 = 13/24

9 13/24 is the answer.

Answer:

b. 9 7/16

Step-by-step explanation:

2 1/16 + 7 3/8

= 33/16 + 59/8

= 33/16 + 118/16

= 151/16

= 9 7/16

Answer:

x = 3, y = 4

Step-by-step explanation:

Substitute 4x - 8 in for y and then solve for x:

4x + 2(4x - 8) = 20

Then, 4x + 8x - 16 = 20 --> 12x = 36 --> x = 3.

Once you have x, you can solve for y.

y = 4x - 8 = 4(3) - 8 = 12 - 8 = 4

So, x = 3, y = 4

Answer:

the answer is 4 x 10^4  or 40,000

Step-by-step

the answer is 40,000 but you need to put it in scientific notation which equals 4 x 10 to the 4th power

4 x 10^4

Answer:

5 + i

Step-by-step explanation:

Combine real part ans combine imaginary parts

2 + 3i + 3 - 2i = 2 + 3 + 3i - 2i

                      = 5 + i

Answer:

5 and 1i

Step-by-step explanation:

So you’re adding the following complex numbers: (2 + 3i) + (3 - 2i)

normally if you see a (-) in front of a number, that means it’s negative so we’re gonna think about this as -2i and positive 3.

so you’re gonna want to take the 2 regular while numbers (without the variable) and then add those together. they’re like numbers so neither of them have a variable, which means they can easily be added, but you can’t add a number like 7 to a number like 9h because there’s a variable.

Now that you’ve added the 2 and 3, you get 5 right? so now you’re gonna take the 3i and -2i, and add those together. since the number 3i is bigger than -2i, the ending number after you add those is gonna be positive, and it’s gonna be 1i.

now i’m not sure if you’re supposed to make an equation out of this but you’re answer will be 5 and 1i or 5 + 1i

also if you don’t want to put 1i, 1i is the same as just “i”. so you can put 5 + i :)

hope this helped!!

The distribution is skewed to the right.

If the median is to the left of the center of the box and the right whisker is substantially longer than the left whisker in a box plot, then the distribution is skewed to the right.

This means that the majority of the data is clustered on the left side of the box plot and there are some extreme values on the right side that are causing the right whisker to be longer.

The median being to the left of the center of the box indicates that the data is not symmetric and is pulled to the left by the majority of the values.

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