6. Ralph has $1.65 in nickels and dimes. He has 25 coins in all.

Answer:

\(\frac{25}{100}\)

Step-by-step explanation:

Hey there !!!!!

to find the correct answer to this question  you just divide :

the options are  25/10 , 2/5 , 10 / 25 and 25/100

so, you divide each one of them :

25/10 = 25 ÷ 10

2/5 = 2 ÷ 5

10/25 = 10÷25

25/100 = 25÷100

if you divide each one of them:

25 ÷ 10 = 2.5

2 ÷ 5 = 0.4

10÷25 = 0.4

25÷100 = 0.25

therefore:

25/100 is the answer

have a wonderful day

distance is speed multiply by time, from speed equals distance divided by time so we have 100 multiply by 6 which is 600km

Answer:

Step-by-step explanation:

Remembering the formula triangle

Distance=Speed*Time

It is all ready in the right format to complete the question as we are working out distance

100*6=600

Remember to use the correct units

=600km

The value of b that makes the expression 9(a+5) and 9(b+a) equivalent is 5.

To make the expression 9(a+5) and 9(b+a) equivalent, we need to find the value of b that makes them equal for all values of a.

We can start by expanding expressions using distributive property of multiplication:

9(a+5) = 9a + 45

9(b+a) = 9b + 9a

Two expressions will be equal if 9a + 45 = 9b + 9a for all values of a.

Simplify this equation by subtracting 9a from LHS and RHS:

45 = 9b

Finally, divide by 9 by b:

b = 5

To make the expressions equivalent, we need to find the value of b that makes 9(a+5) equal to 9(b+a) for all values of a. We can do this by expanding both expressions and equating them, and then solving for b. The value of b that we get is 5, which means that we can rewrite 9(a+5) as 9(5+a) to make it equivalent to 9(b+a).

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Margin of error is statistical expressing the amount of a random sampling error in survay results not the error term from biased sampling method. So, correct answer is False.

Margin of error in statistics represents the amount of random sampling error in the survey results. The larger the margin of error, the less confident that the survey results reflect the results of the census of the entire population. It is denoted by E or MOE. It is calculated by dividing the square root of the sample size by the standard deviation of the population. 99% level is the most conservative, 90% level is the least conservative. The sampling error is a statistical error that occurs when the analyst does not select a sample that is representative of the entire data population.

False - Margin of error only account for sample variability (the fact that my sample differs from many others' samples and therefore provides different statistics.

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Answer:

20% lost

Step-by-step explanation:

the difference is 500 and 500 is 20 percent of 2500

Answer:

20 percent

Step-by-step explanation:

Answer

a. The volume is multiplied by 4

b. The volume is doubled

Explanation

a. The volume of a cone with radius r and height h is \(\pi r^2 h/3\). If the radius is doubled, the new volume will be \(\pi (2r)^2h/3\), which is equal to \(4\pi r^2h/3\). This means that the volume is multiplied by 4.

b. The volume of a cone with radius r and height h is \(\pi r^2 h/3\). If the height is doubled, the new volume will be \(\pi r^2(2h)/3\), which is equal to \(2\pi r^2 h/3\). This means that the volume is multiplied by 2.

Jonathan made $228 in these two days of working on Monday and Tuesday.

Fractions indicate pieces of a whole or group of objects. A fraction is divided into two pieces. The numerator is the number at the top of the line. It specifies how many equal pieces of the total or collection are taken. The number below the line is referred to as the denominator. It displays the total number of equal portions into which the whole is divided or the total number of the same objects in a collection.

Given that he makes $16 per hour

On Monday he made =  5 1/2 × 16

                                    = $88

On Tuesday he made = 8 3/4  × 16

                                     = $140

Total money he made = 140 + 88

                                     = $228

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Answer:81030m

Step-by-step explanation:1km=1000m, 81km=81000+30=81030m

The best point estimate for the mean GPA for all residents of the local apartment complex is simply the sample mean.

which is calculated by dividing the sum of all the GPAs by the number of residents in the sample. In this case, the sample mean is given as 1.7, which is the average GPA of the 108 residents in the local apartment complex.

A point estimate is a single value that is used to estimate an unknown parameter, such as the mean GPA of all residents in the apartment complex. While the sample mean is a good point estimate, it is important to note that it is only an estimate and is subject to sampling variability.

To obtain a more precise estimate of the population mean GPA, a larger sample size can be used. As the sample size increases, the sample mean becomes a more accurate estimator of the population mean, and the sampling variability decreases.

It is also important to consider the potential sources of bias in the sample, such as selection bias or measurement error. If the sample is not representative of the entire population, or if the GPA measurements are not accurate, then the sample mean may not be a good point estimate for the population mean.

In conclusion, the best point estimate for the mean GPA for all residents of the local apartment complex is the sample mean of 1.7, which is calculated by dividing the sum of all the GPAs by the number of residents in the sample. However, it is important to keep in mind that this is only an estimate and is subject to sampling variability and potential sources of bias.

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Answer: The side length is 3in (inches)

Step-by-step explanation:

Since it's a cube, all the sides are the same.

Formula for cube: L x W x H

= 3 x 3 x 3

= 27in

Answer: x= -10 , False B

x= -8, False B

x= -14, True A

Step-by-step explanation:

The shape of the distribution is normal

The probability is 0.7764

What is Standard Deviation?

The standard deviation is a measure of the spread or dispersion of a set of data around its mean. It is calculated by finding the square root of the variance, which is the average of the squared differences between each data point and the mean. It is used to quantify the degree of variability or diversity in the data.

(a)

The distribution of heights of young men follows a normal distribution with a mean of 69.3 inches and a standard deviation of 2.8 inches. The distribution of heights of young women also follows a normal distribution with a mean of 64.5 inches and a standard deviation of 2.5 inches.

The difference between the height of a randomly selected young man (m) and a randomly selected young woman (w) follows a normal distribution with a mean of 69.3 - 64.5 = 4.8 inches (the difference in the means) and a standard deviation of √(2.8² + 2.5²) = 3.67 inches (the square root of the sum of the variances).

The shape of the distribution of the difference between the heights of a randomly selected young man and a randomly selected young woman is also normal, since the original distributions are normal. The centre of the distribution is 4.8 inches, and the spread is 3.67 inches.

(b)

We need to find the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman, or in other words, we need to find P(m - w > 2).

Using the formula for the difference of two normal distributions, we have:

z = (2 - 4.8) / 3.67 = -0.76

We need to find the probability that a standard normal variable Z is greater than -0.76. Using a standard normal table or calculator, we find that P(Z > -0.76) = 0.7764.

Therefore, the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman is approximately 0.7764.

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The volume of the object is 48 cubic millimeters (mm³).

A volume question's response is displayed in cubic units. Volume is calculated as follows: volume = length x breadth x height.

Every three-dimensional object occupies some space. This space is measured in terms of its volume. The area included within a three-dimensional object's limits is referred to as its volume.  It is referred to as the object's capability on occasion.

To calculate the volume, you need to multiply the length, width, and height of the object. Assuming the measurements you provided represent the length, width, and height respectively, the volume would be:

Volume = Length × Width × Height

= 4mm, 4mm, and 3mm

= 48 mm³

Therefore, the volume of the object is 48 cubic millimeters (mm³).

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Answer:

591

Step-by-step explanation:

The length of w from the given triangle UVW is 591 cm.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² - 2bc·cosA.

Given that, in ΔUVW, u = 480 cm, v = 180 cm and ∠W=120°.

w² = u² + v² - 2uv·cosW

w² = 480² + 180² − 2×480×180·cos120°

w² = 230400 + 32400 - 172800·(-0.5)

w² = 349200

w = √349200

w = 590.93

w = 591 cm

Therefore, the length of w is 591 cm.

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When the following equations are solved with elimination method, the values of X and y are as follows:

1.)X= 2; y = 9

2.) X= 2 ; y = 1

3.) X = 38.8; y =-6.7

For question 1;

y = 6x-3

5x = 2y-8

Rewrite each equation in the form Ax + y = C.

3 = 6x-y ---> equation 1

8 = -5x+2y----> equation 2

Multiply the first equation by 2 so that the coefficients of y in each equation will be opposites with a sum of 0.

2(3) = 2(6x-y)

6 = 12x -2y

Add the two equations to eliminate the variable y. Then solve for x.

12x -2y = 6

+ -5x+2y = 8

7x = 14

X = 14/7 = 2

Substitute x into the first equations and solve for y.

y = 6(2) -3

y = 12-3

y = 9.

For question 2;

12x+4y= 28

y = 3x-5

Rewrite each equation in the form Ax + y = C.

28 = 12x+4y

5 = 3x-y

Multiply the second equation by 4 so that the coefficients of y in each equation will be opposites with a sum of 0.

4(5) = 4(3x-y)

20 = 12x- 4y

Add the two equations to eliminate the variable y. Then solve for x.

12x+4y= 28

+ 12x- 4y = 20

24x = 48

X = 48/24 = 2

Substitute x into the first equations and solve for y.

Y = 3(2)-5

y = 6-5 = 1

For question 3;

4x = 2y + 12

4y = 12-x

Rewrite each equation in the form Ax + y = C.

12 = 4x -2y

13 = X + 4y

Multiply the second equation by -4 so that the coefficients of x in each equation will be opposites with a sum of 0.

-4(13) = -4(x+4y)

-52 = -4x-4y

Add the two equations to eliminate the variable x. Then solve for y.

4x -2y = 12

+ -4x-4y = -52

-6Y = 40

y = -40/6 = -6.7

Substitute y into the first equations and solve for X.

4(-6.7) = 12-x

-26.8 = 12-X

X = 12+26.8

X = 38.8

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Answer: 3

Step-by-step explanation:

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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This critical points is a a. local minimum.

To determine the nature of the critical point (0,0) of the function f(x, y) = x^2y^2, we need to analyze the second-order partial derivatives. Let's calculate them:

∂f/∂x = 2xy^2

∂f/∂y = 2x^2y

Now, let's find the second partial derivatives:

∂²f/∂x² = 2y^2

∂²f/∂y² = 2x^2

∂²f/∂x∂y = 4xy

To determine the nature of the critical point, we can use the Hessian matrix:

H = | ∂²f/∂x² ∂²f/∂x∂y |

| ∂²f/∂x∂y ∂²f/∂y² |

Substituting the second partial derivatives, we have:

H = | 2y^2 4xy |

| 4xy 2x^2 |

Evaluating the Hessian matrix at (0,0), we get:

H(0,0) = | 0 0 |

| 0 0 |

The Hessian matrix has only zeros at (0,0), so we cannot determine the nature of the critical point using the second derivative test. The second derivative test fails in this case, and we need to analyze the function further.

Let's consider the behavior of the function around the critical point. If we approach (0,0) along the x-axis (keeping y=0), we have f(x,0) = x^20^2 = 0. Similarly, if we approach (0,0) along the y-axis (keeping x=0), we have f(0,y) = 0^2y^2 = 0. Thus, the function takes the value 0 at the critical point and along both axes.

However, if we consider other points in the neighborhood of (0,0) such that x≠0 and y≠0, we have f(x,y) = x^2*y^2 > 0. Therefore, the function takes only non-negative values in the neighborhood of the critical point.

Based on this analysis, we can conclude that the critical point (0,0) is a local minimum of the function f(x, y) = x^2*y^2.

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If a customer service representative changes the way she envisions her job, shifting from recording complaints to being an advocate for customer rights, she engages in the form of job crafting known as task crafting.

Job crafting involves employees making changes to their job roles or tasks to align them more closely with their values, strengths, and motivations. In this scenario, the customer service representative is redefining her role from simply recording complaints to actively advocating for customer rights.

This represents task crafting, where the employee modifies the tasks and responsibilities associated with their job.

By taking on the role of a customer rights advocate, the representative seeks to go beyond the traditional boundaries of their position and make a positive impact on customer experiences and satisfaction.

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At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).


To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.

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Answer:

B 12.54

Step-by-step explanation:

10.99 times 0.15 equals 1.55

10.99 + 1.55 = 12.54

Answer:

$10.99 + 15% = $12.63

Step-by-step explanation:

Step-by-step explanation:

Area of triangle=1/2 × base × altitude

base=7/2 ft

altitude=8/5ft

Subtitute values in formula:

Area=1/2*7/2*8/5 square.ft

Area=56/20 square.ft

Note:if you need to ask any question please let me know.

Answer:

The rule that explains why the two triangles are congruent is the Angle-Angle-Side (AAS) congruence theorem:

Step-by-step explanation:

According to the Vertical Angle Theorem, opposite vertical angles of two straight intersecting lines are congruent. Therefore:

From inspection of the triangles:

Therefore, triangle NHM and triangle KHJ have two congruent angles and one congruent side.  As the side is not included between the two angles, the rule that explains that the triangles are congruent is AAS.

If any two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

Answer:

62 degrees

Step-by-step explanation:

71 - 9

62

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If a t-distribution with 20 degrees of freedom is used to test a hypothesis with a Type I error value of 5%, then the critical t-value corresponding to the given significance level is 1.725.

The critical t-value is the value beyond which we reject the null hypothesis in a t-test. The value is determined by the significance level (Type I error) and the degrees of freedom.

In this case, with a significance level of 5% and 20 degrees of freedom, the critical t-value is 1.735. This means that if the calculated t-value for a sample falls beyond 1.735, we reject the null hypothesis at the 5% level of significance.

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If Abby deposited $3000 and has $3600 at the end of 8 years, then the interest-rate is 2.5%.

The "Simple-Interest" is the interest which is calculated based only on principle amount of a loan or investment, without taking into account any additional interest earned on previous periods.

We can use the simple interest formula to find the annual interest rate:

⇒ Simple Interest = Principle × Rate × Time,

Where: Principle is = initial deposit of $3000,

Rate = annual interest rate (what we need to find)

Time = number of years the money was invested = 8,

The Simple Interest earned over 8 years : $3600 - $3000 = $600,

Substituting the values,

We get,

⇒ $600 = $3000 × Rate × 8,

⇒ Rate = 600/(3000 × 8),

⇒ Rate = 0.025, or 2.5%.

Therefore, the annual interest rate on the account is 2.5%.

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The two equations to set up to solve the absolute value equation given are; 3x - 2 = 19 and 3x - 2 = -19.

The solution of the inequality given; -2|2x+3| + 14 ≥ - 16 is; x ≥ 6 OR x ≤ -9.

It follows from absolute value equations that;

| x | = ±x

Hence, | x | = x OR | x | = -x

Ultimately, the two equations to set up are; 3x - 2 = 19 and 3x - 2 = -19.

2. Also, the equation given; -2|2x+3| + 14≥ - 16 can be solved as follows;

-2|2x+3| ≥ - 16 - 14

-2|2x+3| ≥ - 30

|2x+3| ≥ 15

Hence, the equation can be solved as;

2x + 3 ≥ 15 OR 2x + 3 ≤ -15

2x ≥ 12 OR 2x ≤ -18

x ≥ 6 OR x ≤ -9.

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Step-by-step explanation:

the midpoint is (2,-3)

that is the answer

Answer:

the midpoint formula=(x1+x2)/2,(y1+y2)/2

then,

=(7-3)/2,(1-7)/2

=4/2,-6/2

=2,-3